<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="UTF-8">
  <meta name="viewport" content="width=device-width, initial-scale=1.0">
  <meta name="aspect-ratio" content="4:3">
  <style>
    * {
      box-sizing: border-box;
      margin: 0;
      padding: 0;
      font-family: system-ui, -apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, sans-serif;
    }

    body {
      width: 100%;
      background: #ffffff;
      color: #1e293b;
      padding: 12px;
      display: flex;
      flex-direction: column;
      align-items: center;
      justify-content: space-between;
      min-height: 100%;
    }

    .header-badge {
      display: inline-flex;
      align-items: center;
      gap: 6px;
      background: #f1f5f9;
      border: 1px solid #cbd5e1;
      padding: 6px 14px;
      border-radius: 20px;
      font-size: 14px;
      font-weight: 700;
      color: #0f172a;
    }

    .badge-hl {
      color: #16a34a;
      font-weight: 800;
    }

    .comparison-grid {
      display: grid;
      grid-template-columns: 1fr 1fr;
      gap: 12px;
      width: 100%;
      max-width: 640px;
      margin: 10px 0;
    }

    @media (max-width: 480px) {
      .comparison-grid {
        grid-template-columns: 1fr;
        gap: 10px;
      }
    }

    .path-card {
      background: #f8fafc;
      border: 1.5px solid #e2e8f0;
      border-radius: 12px;
      padding: 10px;
      display: flex;
      flex-direction: column;
      align-items: center;
      position: relative;
    }

    .path-card.blue-theme {
      border-top: 4px solid #2563eb;
    }

    .path-card.amber-theme {
      border-top: 4px solid #d97706;
    }

    .path-title {
      font-size: 14px;
      font-weight: 700;
      margin-bottom: 6px;
      display: flex;
      align-items: center;
      gap: 4px;
    }

    .blue-theme .path-title { color: #2563eb; }
    .amber-theme .path-title { color: #d97706; }

    .scene-svg {
      width: 100%;
      height: 160px;
      overflow: visible;
    }

    .math-pill {
      margin-top: 8px;
      background: #ffffff;
      border: 1px solid #e2e8f0;
      padding: 6px 10px;
      border-radius: 8px;
      font-size: 13px;
      font-weight: 600;
      text-align: center;
      width: 100%;
      display: flex;
      justify-content: space-around;
      align-items: center;
    }

    .math-pill span {
      display: inline-block;
    }

    .math-pill .force {
      font-weight: 700;
    }

    .blue-theme .force { color: #2563eb; }
    .amber-theme .force { color: #d97706; }

    .math-pill .work {
      color: #16a34a;
      font-weight: 800;
    }

    .controls {
      display: flex;
      align-items: center;
      gap: 12px;
      width: 100%;
      max-width: 440px;
      justify-content: center;
    }

    .btn-lift {
      background: #0f172a;
      color: #ffffff;
      border: none;
      padding: 8px 16px;
      border-radius: 8px;
      font-size: 14px;
      font-weight: 600;
      cursor: pointer;
      display: flex;
      align-items: center;
      gap: 6px;
      transition: background 0.2s;
    }

    .btn-lift:hover {
      background: #334155;
    }

    .slider-track {
      flex: 1;
      accent-color: #2563eb;
      cursor: pointer;
    }
  </style>
</head>
<body>

  <div class="header-badge">
    <span>⚖️ Total Work:</span>
    <span class="badge-hl">600 J = 600 J</span>
  </div>

  <div class="comparison-grid">
    
    <div class="path-card blue-theme">
      <div class="path-title">Direct Lift</div>
      <svg class="scene-svg" viewBox="0 0 240 150">
        
        <line x1="20" y1="130" x2="220" y2="130" stroke="#cbd5e1" stroke-width="3" stroke-dasharray="4 3"/>
        <line x1="20" y1="40" x2="110" y2="40" stroke="#94a3b8" stroke-width="4"/>
        <rect x="20" y="40" width="80" height="90" fill="#f1f5f9" stroke="#cbd5e1" stroke-width="1.5"/>

        
        <line x1="125" y1="130" x2="125" y2="40" stroke="#64748b" stroke-width="1.5" stroke-dasharray="3 3"/>
        <path d="M 122 45 L 125 40 L 128 45 M 122 125 L 125 130 L 128 125" stroke="#64748b" stroke-width="1.5" fill="none"/>
        <text x="135" y="88" font-size="13" font-weight="700" fill="#475569">1 m</text>

        
        <g id="crateA" transform="translate(45, 95)">
          <rect x="0" y="0" width="36" height="32" rx="4" fill="#3b82f6" stroke="#1d4ed8" stroke-width="2"/>
          <text x="18" y="20" font-size="11" font-weight="800" fill="#ffffff" text-anchor="middle">600N</text>
          
          <line x1="18" y1="-2" x2="18" y2="-28" stroke="#2563eb" stroke-width="4"/>
          <polygon points="12,-26 18,-36 24,-26" fill="#2563eb"/>
          <text x="18" y="-40" font-size="12" font-weight="800" fill="#2563eb" text-anchor="middle">600 N</text>
        </g>
      </svg>
      <div class="math-pill">
        <span class="force">600 N</span>
        <span>×</span>
        <span>1 m</span>
        <span>=</span>
        <span class="work">600 J</span>
      </div>
    </div>

    
    <div class="path-card amber-theme">
      <div class="path-title">3 m Ramp</div>
      <svg class="scene-svg" viewBox="0 0 240 150">
        
        <line x1="10" y1="130" x2="230" y2="130" stroke="#cbd5e1" stroke-width="3" stroke-dasharray="4 3"/>
        <polygon points="30,40 30,130 210,130" fill="#fef3c7" stroke="#d97706" stroke-width="2"/>

        
        <line x1="20" y1="130" x2="20" y2="40" stroke="#64748b" stroke-width="1.5" stroke-dasharray="3 3"/>
        <text x="12" y="88" font-size="12" font-weight="700" fill="#475569" text-anchor="end">1 m</text>

        
        <text x="135" y="70" font-size="13" font-weight="700" fill="#d97706" transform="rotate(-26.5 135 70)">3 m distance</text>

        
        <g id="crateB" transform="translate(180, 115) rotate(-26.5)">
          <rect x="-16" y="-28" width="34" height="28" rx="4" fill="#f59e0b" stroke="#b45309" stroke-width="2"/>
          <text x="1" y="-10" font-size="11" font-weight="800" fill="#ffffff" text-anchor="middle">600N</text>
          
          <line x1="-16" y1="-14" x2="-38" y2="-14" stroke="#d97706" stroke-width="2.5"/>
          <polygon points="-36,-18 -46,-14 -36,-10" fill="#d97706"/>
          <text x="-48" y="-19" font-size="12" font-weight="800" fill="#d97706" text-anchor="middle">200 N</text>
        </g>
      </svg>
      <div class="math-pill">
        <span class="force">200 N</span>
        <span>×</span>
        <span>3 m</span>
        <span>=</span>
        <span class="work">600 J</span>
      </div>
    </div>
  </div>

  
  <div class="controls">
    <button id="liftBtn" class="btn-lift">
      <span id="playIcon">▶</span>
      <span>Lift</span>
    </button>
    <input type="range" id="progressSlider" class="slider-track" min="0" max="1" step="0.01" value="0">
  </div>

  <script>
    const crateA = document.getElementById('crateA');
    const crateB = document.getElementById('crateB');
    const liftBtn = document.getElementById('liftBtn');
    const playIcon = document.getElementById('playIcon');
    const slider = document.getElementById('progressSlider');

    // Positions for Crate A (Direct Vertical Lift: Y goes from 95 to 5)
    const yStartA = 95, yEndA = 5;

    // Positions for Crate B (Ramp Incline: from (180, 115) to (40, 45))
    const xStartB = 180, xEndB = 40;
    const yStartB = 115, yEndB = 45;

    let progress = 0;
    let isPlaying = false;
    let animId = null;

    function render(p) {
      // Move Crate A
      const yA = yStartA + (yEndA - yStartA) * p;
      crateA.setAttribute('transform', `translate(45, ${yA})`);

      // Move Crate B
      const xB = xStartB + (xEndB - xStartB) * p;
      const yB = yStartB + (yEndB - yStartB) * p;
      crateB.setAttribute('transform', `translate(${xB}, ${yB}) rotate(-26.5)`);

      slider.value = p;
    }

    function step() {
      if (!isPlaying) return;
      progress += 0.012;
      if (progress >= 1) {
        progress = 1;
        render(progress);
        isPlaying = false;
        playIcon.textContent = '↺';
        liftBtn.querySelector('span:last-child').textContent = 'Reset';
        return;
      }
      render(progress);
      animId = requestAnimationFrame(step);
    }

    function togglePlay() {
      if (progress >= 1) {
        progress = 0;
        render(0);
        playIcon.textContent = '▶';
        liftBtn.querySelector('span:last-child').textContent = 'Lift';
        return;
      }

      isPlaying = !isPlaying;
      if (isPlaying) {
        playIcon.textContent = '⏸';
        liftBtn.querySelector('span:last-child').textContent = 'Pause';
        animId = requestAnimationFrame(step);
      } else {
        playIcon.textContent = '▶';
        liftBtn.querySelector('span:last-child').textContent = 'Lift';
        cancelAnimationFrame(animId);
      }
    }

    liftBtn.addEventListener('click', togglePlay);

    slider.addEventListener('input', (e) => {
      isPlaying = false;
      cancelAnimationFrame(animId);
      progress = parseFloat(e.target.value);
      render(progress);
      if (progress >= 1) {
        playIcon.textContent = '↺';
        liftBtn.querySelector('span:last-child').textContent = 'Reset';
      } else {
        playIcon.textContent = '▶';
        liftBtn.querySelector('span:last-child').textContent = 'Lift';
      }
    });

    render(0);
  </script>
</body>
</html>

Work, Force, and Mechanical Advantage

<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="UTF-8">
  <meta name="viewport" content="width=device-width, initial-scale=1.0">
  <meta name="aspect-ratio" content="4:3">
  <style>
    * {
      box-sizing: border-box;
      margin: 0;
      padding: 0;
    }
    body {
      font-family: system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, sans-serif;
      background: #ffffff;
      color: #1e293b;
      display: flex;
      flex-direction: column;
      align-items: center;
      justify-content: center;
      min-height: 100%;
      padding: 12px;
      gap: 12px;
    }

    .formula-section {
      width: 100%;
      max-width: 580px;
      display: flex;
      flex-direction: column;
      gap: 10px;
    }

    .formula-row {
      display: flex;
      align-items: center;
      justify-content: center;
      background: #f8fafc;
      border: 1px solid #e2e8f0;
      border-radius: 12px;
      padding: 10px 14px;
      gap: 8px;
      flex-wrap: wrap;
    }

    .formula-title {
      font-weight: 700;
      font-size: 15px;
      color: #334155;
      white-space: nowrap;
    }

    .equals {
      font-size: 18px;
      font-weight: 700;
      color: #64748b;
    }

    .fraction-block {
      display: inline-flex;
      flex-direction: column;
      align-items: center;
      text-align: center;
      font-weight: 600;
      font-size: 13px;
    }

    .num, .den {
      padding: 2px 8px;
      border-radius: 6px;
      display: inline-flex;
      align-items: center;
      justify-content: center;
      gap: 4px;
      white-space: nowrap;
    }

    .divider {
      width: 100%;
      height: 2px;
      background: #94a3b8;
      margin: 2px 0;
      border-radius: 1px;
    }

    /* Force Color Codes */
    .f-out {
      color: #1e293b;
      background: #e2e8f0;
      font-weight: 800;
    }
    .f-in {
      color: #16a34a;
      background: #dcfce7;
      font-weight: 800;
    }

    .callout-badge {
      display: inline-flex;
      align-items: center;
      justify-content: center;
      gap: 6px;
      background: #eff6ff;
      border: 1px solid #bfdbfe;
      color: #1d4ed8;
      font-size: 13px;
      font-weight: 700;
      padding: 6px 14px;
      border-radius: 20px;
      text-align: center;
      width: fit-content;
      margin: 0 auto;
    }

    /* Live Multiplier Interactive Box */
    .interactive-card {
      width: 100%;
      max-width: 580px;
      background: #ffffff;
      border: 1.5px dashed #cbd5e1;
      border-radius: 12px;
      padding: 10px 14px;
      display: flex;
      flex-direction: column;
      align-items: center;
      gap: 8px;
    }

    .preset-group {
      display: flex;
      gap: 6px;
      flex-wrap: wrap;
      justify-content: center;
    }

    .preset-btn {
      background: #f1f5f9;
      border: 1px solid #cbd5e1;
      border-radius: 6px;
      padding: 4px 10px;
      font-size: 12px;
      font-weight: 700;
      color: #475569;
      cursor: pointer;
      transition: background 0.2s, border-color 0.2s, color 0.2s;
    }

    .preset-btn.active {
      background: #16a34a;
      border-color: #16a34a;
      color: #ffffff;
    }

    .calc-row {
      display: flex;
      align-items: center;
      justify-content: center;
      gap: 8px;
      font-size: 14px;
      font-weight: 700;
      flex-wrap: wrap;
    }

    .val-box {
      padding: 2px 8px;
      border-radius: 6px;
    }

    .mult-result {
      background: #dbeafe;
      color: #1e40af;
      padding: 3px 10px;
      border-radius: 6px;
      font-size: 15px;
      font-weight: 800;
    }
  </style>
</head>
<body>

  <div class="formula-section">
    
    <div class="formula-row">
      <span class="formula-title">MA</span>
      <span class="equals">=</span>
      <div class="fraction-block">
        <span class="num f-out">Output Force</span>
        <div class="divider"></div>
        <span class="den f-in">Input Force</span>
      </div>
      <span class="equals">=</span>
      <div class="fraction-block">
        <span class="num f-out">F<sub>out</sub></span>
        <div class="divider"></div>
        <span class="den f-in">F<sub>in</sub></span>
      </div>
    </div>

    
    <div class="formula-row">
      <span class="formula-title">Ideal MA</span>
      <span class="equals">=</span>
      <div class="fraction-block">
        <span class="num f-in">Effort Distance</span>
        <div class="divider"></div>
        <span class="den f-out">Load Distance</span>
      </div>
      <span class="equals">=</span>
      <div class="fraction-block">
        <span class="num f-in">d<sub>in</sub></span>
        <div class="divider"></div>
        <span class="den f-out">d<sub>out</sub></span>
      </div>
    </div>
  </div>

  
  <div class="callout-badge">
    <span>✦</span> MA has no units — it is a ratio multiplier!
  </div>

  
  <div class="interactive-card">
    <div class="preset-group">
      <button class="preset-btn active" data-fout="300" data-fin="100" data-mult="3×">Ramp (MA = 3)</button>
      <button class="preset-btn" data-fout="300" data-fin="150" data-mult="2×">Lever (MA = 2)</button>
      <button class="preset-btn" data-fout="300" data-fin="60" data-mult="5×">Pulley (MA = 5)</button>
    </div>

    <div class="calc-row">
      <span class="val-box f-out" id="calcFout">F<sub>out</sub> = 300 N</span>
      <span>÷</span>
      <span class="val-box f-in" id="calcFin">F<sub>in</sub> = 100 N</span>
      <span>=</span>
      <span class="mult-result" id="calcResult">3× force boost</span>
    </div>
  </div>

  <script>
    const buttons = document.querySelectorAll('.preset-btn');
    const calcFout = document.getElementById('calcFout');
    const calcFin = document.getElementById('calcFin');
    const calcResult = document.getElementById('calcResult');

    buttons.forEach(btn => {
      btn.addEventListener('click', () => {
        buttons.forEach(b => b.classList.remove('active'));
        btn.classList.add('active');

        const fout = btn.dataset.fout;
        const fin = btn.dataset.fin;
        const mult = btn.dataset.mult;

        calcFout.innerHTML = `F<sub>out</sub> = ${fout} N`;
        calcFin.innerHTML = `F<sub>in</sub> = ${fin} N`;
        calcResult.textContent = `${mult} force boost`;
      });
    });
  </script>
</body>
</html>

<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="UTF-8">
  <meta name="viewport" content="width=device-width, initial-scale=1.0">
  <meta name="aspect-ratio" content="4:3">
  <title>Work and Mechanical Advantage on an Inclined Plane</title>
  <style>
    * {
      box-sizing: border-box;
      margin: 0;
      padding: 0;
      font-family: system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, sans-serif;
    }

    body {
      width: 100%;
      background: transparent;
      color: #1e293b;
      display: flex;
      flex-direction: column;
      align-items: center;
      padding: 8px 12px;
      gap: 10px;
      user-select: none;
    }

    .svg-container {
      width: 100%;
      max-width: 720px;
      aspect-ratio: 800 / 270;
      position: relative;
    }

    svg {
      width: 100%;
      height: 100%;
      display: block;
      overflow: visible;
    }

    .controls {
      display: flex;
      align-items: center;
      justify-content: center;
      gap: 14px;
      width: 100%;
      max-width: 720px;
      flex-wrap: wrap;
    }

    .btn {
      background: #f1f5f9;
      border: 1px solid #cbd5e1;
      color: #334155;
      padding: 7px 16px;
      border-radius: 6px;
      font-size: 13.5px;
      font-weight: 600;
      cursor: pointer;
      display: inline-flex;
      align-items: center;
      gap: 6px;
      transition: background 0.15s, border-color 0.15s, color 0.15s;
    }

    .btn:hover {
      background: #e2e8f0;
      border-color: #94a3b8;
    }

    .btn-active {
      background: #0284c7;
      color: #ffffff;
      border-color: #0284c7;
    }

    .btn-active:hover {
      background: #0369a1;
      border-color: #0369a1;
    }

    .slider-track-wrap {
      display: flex;
      align-items: center;
      gap: 10px;
      flex: 1;
      min-width: 200px;
      max-width: 320px;
    }

    .slider-track-wrap label {
      font-size: 13.5px;
      font-weight: 600;
      color: #64748b;
      white-space: nowrap;
    }

    input[type="range"] {
      flex: 1;
      accent-color: #0284c7;
      cursor: pointer;
      height: 6px;
    }

    .breakdown-grid {
      display: grid;
      grid-template-columns: 1fr 1fr;
      gap: 12px;
      width: 100%;
      max-width: 720px;
    }

    .panel {
      border-radius: 8px;
      padding: 10px 14px;
      border-width: 1px;
      border-style: solid;
      display: flex;
      flex-direction: column;
      gap: 5px;
    }

    .panel-blue {
      background: #f0f9ff;
      border-color: #bae6fd;
    }

    .panel-amber {
      background: #fffbeb;
      border-color: #fde68a;
    }

    .panel-title {
      font-size: 13px;
      font-weight: 700;
      text-transform: uppercase;
      letter-spacing: 0.5px;
      display: flex;
      align-items: center;
      justify-content: space-between;
    }

    .title-blue { color: #0284c7; }
    .title-amber { color: #d97706; }

    .panel-row {
      font-size: 14px;
      color: #334155;
      display: flex;
      justify-content: space-between;
      align-items: baseline;
    }

    .panel-row strong {
      font-weight: 700;
    }

    .work-calc {
      margin-top: 4px;
      padding-top: 5px;
      border-top: 1px dashed rgba(0, 0, 0, 0.12);
      font-size: 14px;
      font-weight: 700;
      color: #0f172a;
      display: flex;
      justify-content: space-between;
      align-items: baseline;
    }

    .highlight-work {
      color: #16a34a;
      font-weight: 800;
      font-size: 15px;
    }

    .summary-bar {
      width: 100%;
      max-width: 720px;
      background: #f8fafc;
      border: 1px solid #e2e8f0;
      border-radius: 8px;
      padding: 9px 14px;
      display: flex;
      align-items: center;
      justify-content: space-between;
      flex-wrap: wrap;
      gap: 10px;
      font-size: 13.5px;
      color: #334155;
    }

    .summary-item {
      display: flex;
      align-items: center;
      gap: 8px;
      flex-wrap: wrap;
    }

    .formula-pill {
      white-space: nowrap;
      font-weight: 700;
      color: #1e293b;
    }

    .tag {
      font-weight: 700;
      padding: 3px 8px;
      border-radius: 4px;
      font-size: 12px;
      letter-spacing: 0.2px;
      white-space: nowrap;
    }

    .tag-green { background: #dcfce7; color: #15803d; }
    .tag-blue { background: #e0f2fe; color: #0369a1; }

    @media (max-width: 560px) {
      .breakdown-grid {
        grid-template-columns: 1fr;
        gap: 8px;
      }
      .summary-bar {
        flex-direction: column;
        align-items: flex-start;
        gap: 8px;
        font-size: 12.5px;
      }
    }
  </style>
</head>
<body>

  
  <div class="svg-container">
    <svg viewBox="0 0 800 270" id="rampSvg">
      <defs>
        
        <marker id="arrow-blue" viewBox="0 0 10 10" refX="6" refY="5" markerWidth="6" markerHeight="6" orient="auto-start-reverse">
          <path d="M 0 1.5 L 8 5 L 0 8.5 z" fill="#0284c7"/>
        </marker>
        
        <marker id="arrow-amber" viewBox="0 0 10 10" refX="6" refY="5" markerWidth="6" markerHeight="6" orient="auto-start-reverse">
          <path d="M 0 1.5 L 8 5 L 0 8.5 z" fill="#d97706"/>
        </marker>
        
        <marker id="arrow-slate" viewBox="0 0 10 10" refX="6" refY="5" markerWidth="5" markerHeight="5" orient="auto-start-reverse">
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      <g transform="translate(590, 170)">
        <text x="0" y="0" fill="#d97706" font-size="14" font-weight="700" alignment-baseline="middle">
          Load Height (<tspan font-style="italic">d</tspan><tspan font-size="11" dy="3">out</tspan><tspan font-size="14" dy="-3">) = 1.5 m</tspan>
        </text>
      </g>

      
      
      <g transform="translate(-18, -66)">
        
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            Effort Distance (<tspan font-style="italic">d</tspan><tspan font-size="11" dy="3">in</tspan><tspan font-size="14" dy="-3">) = 6.0 m</tspan>
          </text>
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            Effort (<tspan font-style="italic">F</tspan><tspan font-size="10.5" dy="3">in</tspan><tspan font-size="13.5" dy="-3">) = 200 N</tspan>
          </text>
        </g>

        
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            Load (<tspan font-style="italic">F</tspan><tspan font-size="10.5" dy="3">out</tspan><tspan font-size="13.5" dy="-3">) = 800 N</tspan>
          </text>
        </g>
      </g>
    </svg>
  </div>

  
  <div class="controls">
    <button class="btn" id="playBtn" title="Animate safe moving up the ramp">▶ Push Up Ramp</button>
    <div class="slider-track-wrap">
      <label for="posSlider">Position:</label>
      <input type="range" id="posSlider" min="0" max="1" step="0.005" value="0.33">
    </div>
  </div>

  
  <div class="breakdown-grid">
    
    <div class="panel panel-blue">
      <div class="panel-title title-blue">
        <span>Effort (Input)</span>
        <span>Along Ramp</span>
      </div>
      <div class="panel-row">
        <span>Effort Force (<em>F</em><sub>in</sub>)</span>
        <strong>200 N</strong>
      </div>
      <div class="panel-row">
        <span>Effort Distance (<em>d</em><sub>in</sub>)</span>
        <strong>6.0 m</strong>
      </div>
      <div class="work-calc">
        <span><em>W</em><sub>in</sub> = 200 N × 6.0 m</span>
        <span class="highlight-work">1200 J</span>
      </div>
    </div>

    
    <div class="panel panel-amber">
      <div class="panel-title title-amber">
        <span>Load (Output)</span>
        <span>Vertical Lift</span>
      </div>
      <div class="panel-row">
        <span>Load Weight (<em>F</em><sub>out</sub>)</span>
        <strong>800 N</strong>
      </div>
      <div class="panel-row">
        <span>Lift Height (<em>d</em><sub>out</sub>)</span>
        <strong>1.5 m</strong>
      </div>
      <div class="work-calc">
        <span><em>W</em><sub>out</sub> = 800 N × 1.5 m</span>
        <span class="highlight-work">1200 J</span>
      </div>
    </div>
  </div>

  
  <div class="summary-bar">
    <div class="summary-item">
      <span class="tag tag-blue">Mechanical Advantage</span>
      <span class="formula-pill">MA = 800 N / 200 N = 6.0 m / 1.5 m = <strong>4</strong></span>
    </div>
    <div class="summary-item">
      <span class="tag tag-green">Conservation of Energy</span>
      <span class="formula-pill"><em>W</em><sub>in</sub> = <em>W</em><sub>out</sub> = <strong style="color:#16a34a;">1200 J</strong></span>
    </div>
  </div>

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    const playBtn = document.getElementById('playBtn');

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    const endX = 460, endY = 126.65;
    const angle = -15.15;

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      const x = startX + (endX - startX) * progress;
      const y = startY + (endY - startY) * progress;
      safeGroup.setAttribute('transform', `translate(${x.toFixed(2)}, ${y.toFixed(2)}) rotate(${angle})`);
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    posSlider.addEventListener('input', (e) => {
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      playBtn.classList.add('btn-active');
      playBtn.textContent = '⏸ Pause';
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      animFrame = requestAnimationFrame(step);
    }

    function pause() {
      isPlaying = false;
      playBtn.classList.remove('btn-active');
      playBtn.textContent = '▶ Push Up Ramp';
      if (animFrame) {
        cancelAnimationFrame(animFrame);
        animFrame = null;
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      startTime = null;
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    playBtn.addEventListener('click', () => {
      if (isPlaying) pause();
      else play();
    });

    // Initialize position
    updatePosition(parseFloat(posSlider.value));
  </script>
</body>
</html>

<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="UTF-8">
  <meta name="viewport" content="width=device-width, initial-scale=1.0">
  <meta name="aspect-ratio" content="4:3">
  <style>
    * { box-sizing: border-box; margin: 0; padding: 0; }
    body {
      font-family: system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, sans-serif;
      background: #ffffff;
      color: #1e2945;
      padding: 12px;
      display: flex;
      flex-direction: column;
      gap: 10px;
      user-select: none;
    }

    /* Formula Header */
    .formula-bar {
      background: #f8fafc;
      border: 1px solid #e2e8f0;
      border-radius: 8px;
      padding: 8px 12px;
      text-align: center;
      font-size: 14px;
      font-weight: 700;
      color: #334155;
      letter-spacing: 0.2px;
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    .formula-bar span.math {
      color: #0f172a;
      background: #ffffff;
      padding: 2px 6px;
      border-radius: 4px;
      border: 1px solid #cbd5e1;
      margin: 0 4px;
      display: inline-block;
    }

    /* Cards Grid */
    .grid {
      display: grid;
      grid-template-columns: 1fr 1fr;
      gap: 10px;
    }
    @media (max-width: 520px) {
      .grid {
        grid-template-columns: 1fr;
      }
    }

    .machine-card {
      background: #ffffff;
      border: 1.5px solid #e2e8f0;
      border-radius: 10px;
      padding: 10px;
      display: flex;
      flex-direction: column;
      gap: 8px;
      position: relative;
    }

    .card-header {
      display: flex;
      justify-content: space-between;
      align-items: center;
    }
    .card-title {
      font-size: 14px;
      font-weight: 800;
    }
    .card-badge {
      font-size: 11px;
      font-weight: 700;
      padding: 2px 7px;
      border-radius: 12px;
    }

    .ideal-badge { background: #d1fae5; color: #065f46; }
    .real-badge { background: #ffe4e6; color: #9f1239; }

    /* SVG Canvas */
    .svg-container {
      width: 100%;
      height: 130px;
      position: relative;
    }
    svg {
      width: 100%;
      height: 100%;
      overflow: visible;
    }

    /* Ratio Tags */
    .stat-row {
      display: flex;
      justify-content: space-around;
      background: #f8fafc;
      border-radius: 6px;
      padding: 6px 4px;
      font-size: 12px;
      font-weight: 700;
    }
    .stat-item {
      display: flex;
      align-items: center;
      gap: 4px;
    }

    /* Slider interactive area */
    .slider-wrap {
      display: flex;
      align-items: center;
      gap: 8px;
      padding: 4px 6px;
      background: #fff1f2;
      border-radius: 6px;
      font-size: 11px;
      font-weight: 700;
      color: #9f1239;
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    .slider-wrap input[type=range] {
      flex: 1;
      accent-color: #f43f5e;
      cursor: pointer;
      height: 4px;
    }
  </style>
</head>
<body>

  
  <div class="formula-bar">
    Efficiency <span class="math">η = (W<sub>out</sub> / W<sub>in</sub>) × 100%</span> = <span class="math">AMA / IMA × 100%</span>
  </div>

  
  <div class="grid">
    
    
    <div class="machine-card">
      <div class="card-header">
        <span class="card-title">Ideal Machine</span>
        <span class="card-badge ideal-badge">η = 100%</span>
      </div>

      <div class="svg-container">
        <svg viewBox="0 0 280 130">
          <defs>
            <linearGradient id="gradIdeal" x1="0%" y1="0%" x2="100%" y2="0%">
              <stop offset="0%" stop-color="#3b82f6" />
              <stop offset="35%" stop-color="#10b981" />
              <stop offset="100%" stop-color="#10b981" />
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              <feDropShadow dx="0" dy="1" stdDeviation="1" flood-opacity="0.15"/>
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          </defs>

          
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          <text x="40" y="65" fill="#ffffff" font-size="12" font-weight="bold" text-anchor="middle">W_in</text>
          <text x="40" y="78" fill="#dbeafe" font-size="9" font-weight="bold" text-anchor="middle">100 J</text>

          
          <path d="M 70 52 L 180 52 L 180 78 L 70 78 Z" fill="url(#gradIdeal)" opacity="0.9" />
          <line x1="80" y1="65" x2="170" y2="65" stroke="#ffffff" stroke-width="2" stroke-dasharray="4,4" opacity="0.8"/>

          
          <rect x="180" y="45" width="90" height="40" rx="6" fill="#10b981" filter="url(#glow)"/>
          <text x="225" y="63" fill="#ffffff" font-size="12" font-weight="bold" text-anchor="middle">W_out</text>
          <text x="225" y="77" fill="#d1fae5" font-size="9" font-weight="bold" text-anchor="middle">100 J (Useful)</text>

          
          <text x="140" y="115" fill="#64748b" font-size="10" font-weight="700" text-anchor="middle">Friction Heat = 0</text>
        </svg>
      </div>

      <div class="stat-row">
        <div class="stat-item" style="color:#10b981;">W<sub>in</sub> = W<sub>out</sub></div>
        <div class="stat-item" style="color:#0f766e;">AMA = IMA</div>
      </div>
    </div>

    
    <div class="machine-card">
      <div class="card-header">
        <span class="card-title">Real Machine</span>
        <span class="card-badge real-badge" id="effBadge">η = 70%</span>
      </div>

      <div class="svg-container">
        <svg viewBox="0 0 280 130" id="realSvg">
          <defs>
            <filter id="glow2" x="-20%" y="-20%" width="140%" height="140%">
              <feDropShadow dx="0" dy="1" stdDeviation="1" flood-opacity="0.15"/>
            </filter>
          </defs>

          
          <rect x="10" y="55" width="60" height="40" rx="6" fill="#3b82f6" filter="url(#glow2)"/>
          <text x="40" y="75" fill="#ffffff" font-size="12" font-weight="bold" text-anchor="middle">W_in</text>
          <text x="40" y="88" fill="#dbeafe" font-size="9" font-weight="bold" text-anchor="middle">100 J</text>

          
          <path id="heatFlow" d="M 70 65 Q 115 65 140 32 L 180 32" fill="none" stroke="#f43f5e" stroke-width="12" stroke-linecap="round"/>
          
          
          <path id="workFlow" d="M 70 80 Q 115 80 140 80 L 180 80" fill="none" stroke="#10b981" stroke-width="24" stroke-linecap="round"/>

          
          <rect id="heatBox" x="180" y="15" width="90" height="32" rx="6" fill="#f43f5e" filter="url(#glow2)"/>
          <text x="225" y="30" fill="#ffffff" font-size="10" font-weight="bold" text-anchor="middle">Heat Loss 🔥</text>
          <text id="heatText" x="225" y="42" fill="#ffe4e6" font-size="9" font-weight="bold" text-anchor="middle">30 J (Friction)</text>

          
          <rect id="workBox" x="180" y="65" width="90" height="34" rx="6" fill="#10b981" filter="url(#glow2)"/>
          <text x="225" y="81" fill="#ffffff" font-size="11" font-weight="bold" text-anchor="middle">W_out</text>
          <text id="workText" x="225" y="93" fill="#d1fae5" font-size="9" font-weight="bold" text-anchor="middle">70 J (Useful)</text>
        </svg>
      </div>

      
      <div class="slider-wrap">
        <span>Friction:</span>
        <input type="range" id="fricSlider" min="10" max="60" value="30" step="5">
        <span id="sliderVal">30%</span>
      </div>

      <div class="stat-row">
        <div class="stat-item" style="color:#f43f5e;">W<sub>out</sub> &lt; W<sub>in</sub></div>
        <div class="stat-item" style="color:#e11d48;">AMA &lt; IMA</div>
      </div>
    </div>

  </div>

  <script>
    const slider = document.getElementById('fricSlider');
    const effBadge = document.getElementById('effBadge');
    const sliderVal = document.getElementById('sliderVal');
    const heatText = document.getElementById('heatText');
    const workText = document.getElementById('workText');
    const heatFlow = document.getElementById('heatFlow');
    const workFlow = document.getElementById('workFlow');

    function updateFriction(loss) {
      const useful = 100 - loss;
      sliderVal.textContent = loss + '%';
      effBadge.textContent = 'η = ' + useful + '%';
      heatText.textContent = loss + ' J (Friction)';
      workText.textContent = useful + ' J (Useful)';

      // Scale branch widths proportionally
      const heatWidth = Math.max(4, Math.round((loss / 100) * 36));
      const workWidth = Math.max(6, Math.round((useful / 100) * 36));

      heatFlow.setAttribute('stroke-width', heatWidth);
      workFlow.setAttribute('stroke-width', workWidth);
    }

    slider.addEventListener('input', (e) => {
      updateFriction(parseInt(e.target.value, 10));
    });

    updateFriction(30);
  </script>
</body>
</html>

<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="UTF-8">
  <meta name="viewport" content="width=device-width, initial-scale=1.0">
  <meta name="aspect-ratio" content="4:3">
  <title>Work Equation: W = F × d</title>
  <style>
    * { box-sizing: border-box; margin: 0; padding: 0; }
    body {
      background-color: #f8f9fa;
      font-family: system-ui, -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, sans-serif;
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      flex-direction: column;
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      justify-content: space-between;
      padding: 12px;
      min-height: 100%;
      user-select: none;
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    /* Equation Header */
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      display: inline-flex;
      align-items: center;
      gap: 6px;
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      font-weight: 700;
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      background: #ccfbf1;
      padding: 4px 14px;
      border-radius: 20px;
      letter-spacing: 0.5px;
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    /* Stage Area */
    .stage {
      width: 100%;
      max-width: 440px;
      height: 160px;
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      overflow: hidden;
      margin: 8px 0;
    }

    svg {
      width: 100%;
      height: 100%;
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      border: 2px solid #0d9488;
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      box-shadow: 0 4px 12px rgba(13, 148, 136, 0.08);
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      font-size: 16px;
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    .val-force { color: #0d9488; font-weight: 700; }
    .val-dist { color: #2563eb; font-weight: 700; }
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      color: #ffffff;
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      font-weight: 700;
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    .btn {
      appearance: none;
      border: none;
      outline: none;
      background: #0d9488;
      color: #ffffff;
      font-size: 14px;
      font-weight: 600;
      padding: 8px 18px;
      border-radius: 8px;
      cursor: pointer;
      display: inline-flex;
      align-items: center;
      gap: 6px;
      transition: opacity 0.2s ease, background-color 0.2s ease;
    }

    .btn:hover {
      background: #0f766e;
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    .btn-secondary {
      background: #e2e8f0;
      color: #334155;
    }

    .btn-secondary:hover {
      background: #cbd5e1;
    }
  </style>
</head>
<body>

  
  <div class="formula-badge">
    <span>W = F × d</span>
  </div>

  
  <div class="stage">
    <svg viewBox="0 0 380 140">
      <defs>
        
        <marker id="arrow" viewBox="0 0 10 10" refX="6" refY="5" markerWidth="6" markerHeight="6" orient="auto-start-reverse">
          <path d="M 0 1.5 L 8 5 L 0 8.5 z" fill="#0d9488" />
        </marker>
        
        <marker id="dot" viewBox="0 0 10 10" refX="5" refY="5" markerWidth="4" markerHeight="4">
          <circle cx="5" cy="5" r="4" fill="#2563eb" />
        </marker>
      </defs>

      
      <line x1="20" y1="100" x2="360" y2="100" stroke="#cbd5e1" stroke-width="3" stroke-linecap="round" />
      
      
      <line x1="80" y1="96" x2="80" y2="104" stroke="#94a3b8" stroke-width="2" />
      <line x1="260" y1="96" x2="260" y2="104" stroke="#94a3b8" stroke-width="2" />

      
      <path d="M 80 114 L 80 120 L 260 120 L 260 114" fill="none" stroke="#2563eb" stroke-width="2" />
      <text x="170" y="134" fill="#2563eb" font-size="13" font-weight="700" text-anchor="middle">Distance = 3 m</text>

      
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        <text x="80" y="28" fill="#0d9488" font-size="13" font-weight="800" text-anchor="middle">Force = 20 N</text>

        
        
        <circle cx="28" cy="46" r="9" fill="#334155" />
        
        <line x1="28" y1="55" x2="42" y2="76" stroke="#334155" stroke-width="4" stroke-linecap="round" />
        
        <path d="M 34 63 L 52 64" fill="none" stroke="#334155" stroke-width="3.5" stroke-linecap="round" />
        
        <path d="M 42 76 L 24 99" fill="none" stroke="#334155" stroke-width="3.5" stroke-linecap="round" />
        <path d="M 42 76 L 46 99" fill="none" stroke="#334155" stroke-width="3.5" stroke-linecap="round" />

        
        <rect x="52" y="48" width="52" height="52" rx="4" fill="#0d9488" />
        
        <rect x="52" y="68" width="52" height="12" fill="#0f766e" opacity="0.4" />
        
        <text x="78" y="79" fill="#ffffff" font-size="13" font-weight="700" text-anchor="middle">10 kg</text>
      </g>
    </svg>
  </div>

  
  <div class="calc-card">
    <div class="calc-equation">
      <span>Work = </span>
      <span class="val-force">20 N</span>
      <span>×</span>
      <span class="val-dist">3 m</span>
      <span>=</span>
      <span class="val-work">60 Joules (J)</span>
    </div>
  </div>

  
  <div class="controls">
    <button id="push-btn" class="btn" onclick="togglePush()">
      <span id="btn-icon">▶</span>
      <span id="btn-text">Push Box</span>
    </button>
    <button class="btn btn-secondary" onclick="resetBox()">↺ Reset</button>
  </div>

  <script>
    let isPushed = false;
    const actor = document.getElementById('actor-group');
    const pushBtn = document.getElementById('push-btn');
    const btnIcon = document.getElementById('btn-icon');
    const btnText = document.getElementById('btn-text');

    function togglePush() {
      isPushed = !isPushed;
      updateState();
    }

    function resetBox() {
      isPushed = false;
      updateState();
    }

    function updateState() {
      if (isPushed) {
        actor.style.transform = 'translateX(180px)';
        btnIcon.textContent = '◀';
        btnText.textContent = 'Pull Back';
      } else {
        actor.style.transform = 'translateX(0px)';
        btnIcon.textContent = '▶';
        btnText.textContent = 'Push Box';
      }
    }
  </script>
</body>
</html>

OGS.7.PS.6

Aligned learning resources

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