Standard difficulty · 20 questions · 40 marks
Show your working for Sections B and C. Answers are on the last page — try every question first!
Work, Energy, and Simple Machines · AW-9S-WEN-2026-V1 · For parents — fold back or tear off before handing the sheet to your child.
| Q | Answer | Working |
|---|---|---|
| 1 | (d) 770 J | W = F × s = 35 × 22 |
| 2 | (a) 10,200 J | ½mv2 = ½ × 51 × 400 |
| 3 | (d) 313.6 J | mgh = 16 × 9.8 × 2 |
| 4 | (c) 428 W | P = W ÷ t = 3424 ÷ 8 |
| 5 | (c) joule (J) | — |
| 6 | (a) 3.6 × 107 J | 1 kWh = 3.6 × 106 J; × 10 |
| 7 | (d) 80 kWh | 2000 × 2 × 20 ÷ 1000 |
| 8 | (c) 400 N | effort = load × height ÷ length = 3600 × 1 ÷ 9 |
| 9 | 7,526.4 J | W = mgh = 48 × 9.8 × 16 |
| 10 | 1,392 J | work = change in KE = ½ × 29 × (100 − 4) |
| 11 | it becomes 4/25 times what it was | KE ∝ mv2: 4 × (1/5)2 = 4/25 |
| 12 | 1,234.8 W | P = mgh ÷ t = 180 × 9.8 × 21 ÷ 30 |
| 13 | Rs 1,956.5 | 301 × 6.5 |
| 14 | 0 J | gravity acts downwards and the motion is horizontal, at 90° to the force |
| 15 | 49 m/s | mgh = ½mv2, so v = √(2gh) = √(2 × 9.8 × 122.5) = √2401 |
| 16 | 15 N; MA = 8 | effort × 400 = 120 × 50, so effort = 15; MA = load ÷ effort = 120 ÷ 15 |
| 17 | 56.7 kWh; Rs 283.5 | (6 × 60 × 4 + 75 × 6) × 30 ÷ 1000 kWh |
| 18 | 510,000 J | 18 km/h = 5 m/s, 90 km/h = 25 m/s; work = ½ × 1700 × (625 − 25) |
| 19 | 233,240 J; 5,831 W | W = mgh; P = W ÷ 40 |
| 20 | useful work 1,440 J; work put in 1,800 J; efficiency 80%; MA = 2.4 | useful work = 1440 × 1; work put in = 600 × 3; efficiency = 1440 ÷ 1800 × 100; MA = load ÷ effort = 1440 ÷ 600 |