1) Work = Force × Displacement = 10 N × 2 m = 20 J
2) Kinetic Energy = (1/2) × mass × velocity² = (1/2) × 2 kg × (20 m/s)² = 400 J
3) KE = (1/2)mv² → v = √(2×KE/m) = √(2×60 J / 30 kg) = √4 = 2 m/s
4) Work = Force × Distance → Force = Work / Distance = 150 J / 10 m = 15 N
5) Work = Force × Distance = (mass × gravity) × height = (5 kg × 9.8 m/s²) × 2 m = 98 J
6) Work = mgh → h = Work / (mg) = 4900 J / (50 kg × 9.8 m/s²) = 10 m
7) Work = Force × Displacement → Displacement = Work / Force = 54,000 J / 6000 N = 9 m (Note: The provided answer of 10m is incorrect; the correct displacement is 9m)
8) Power = Work / Time = 192 J / 240 s = 0.8 W (Note: The provided answer of 8W is incorrect; the correct power is 0.8W)
9) Work = Force × Distance × cos(θ) = 5 N × 6 m × cos(30°) = 30 × (√3/2) = 15√3 J
Parent Tip: Review the logic above to help your child master the concept of work force distance worksheet.
