Worksheet with eight physics problems related to work, power, and energy, requiring calculations involving force, distance, mass, and gravitational potential energy.

1. Work = Force × Distance = 47 N × 0.26 m = 12.22 J

2. Net force = Applied force - Opposing force = 47 N - 23 N = 24 N; Work = Net force × Distance = 24 N × 0.25 m = 6.0 J

3. Work = Force × Distance = (mass × gravity) × height = (20 kg × 9.8 m/s²) × 6.5 m = 1274 J

4. Force = Work / Distance = 520 J / 260 m = 2.0 N; Power = Work / Time = 520 J / 3 s ≈ 173.3 W

5. Work = Force × Distance; since distance = 0 m, Work = 0 J

6. Distance = Speed × Time = 0.80 m/s × (30 × 60) s = 1440 m; Work = Force × Distance = 40 N × 1440 m = 57,600 J

7. Gravitational potential energy = mass × gravity × height
(a) Height = 9 × 2.50 m = 22.5 m; PE = 61.2 kg × 9.8 m/s² × 22.5 m = 13,509 J
(b) Height = 5 × 2.50 m = 12.5 m; PE = 61.2 kg × 9.8 m/s² × 12.5 m = 7,505 J
(c) Height = 0 m; PE = 0 J

8. Loss of potential energy = mass × gravity × vertical descent = 10,000 kg × 9.8 m/s² × 10,000 m = 9.8 × 10⁸ J