Engineering Worksheet: Mechanical Advantage and Work
Engineer's tip (Less force, more distance): MA = load ÷ effort. Work (J) = force (N) × distance (m); force = work ÷ distance; distance = work ÷ force. Ideal ramp: MA = length ÷ height, effort = load ÷ MA.
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- 1.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 2.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 3.🏋️ Pushing a crate 6 m took 60 J of work. What force was used, in newtons?
- 4.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A force of 360 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 6.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) newton (N) (d) watt hour
- 7.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2600 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Pushing a crate 2 m took 420 J of work. What force was used, in newtons?
- 9.🏋️ A force of 370 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 10.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 11.🏋️ A force of 120 N did 360 J of work. How many metres did the object move?
- 12.🏋️ A force of 90 N did 900 J of work. How many metres did the object move?
- 13.🏋️ A 15 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ Pushing a crate 2 m took 920 J of work. What force was used, in newtons?
- 15.🏋️ A force of 160 N did 800 J of work. How many metres did the object move?
- 16.🏋️ A force of 500 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 290 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 18.🏋️ A 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ Pushing a crate 7 m took 1330 J of work. What force was used, in newtons?
- 21.🏋️ Pushing a crate 1 m took 30 J of work. What force was used, in newtons?
- 22.🏋️ Pushing a crate 4 m took 1520 J of work. What force was used, in newtons?
- 23.🏋️ A force of 80 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 5 m took 1400 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 9 m took 450 J of work. What force was used, in newtons?
- 26.🏋️ A force of 500 N did 4500 J of work. How many metres did the object move?
- 27.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A machine lifts a load of 600 N when you push with 100 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 500 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 30.🏋️ Pushing a crate 9 m took 1350 J of work. What force was used, in newtons?
- 31.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 50 N did 50 J of work. How many metres did the object move?
- 34.🏋️ Pushing a crate 1 m took 50 J of work. What force was used, in newtons?
- 35.🏋️ A force of 60 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 430 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 37.🏋️ A 9 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A 7 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 40.🏋️ A 2 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- through a distance
- no, work stays the same
- 10
- 800
- 1800
- joule (J)
- 650
- 210
- 1110
- load ÷ effort
- 3
- 10
- 450
- 460
- 5
- 3500
- 1450
- 120
- 350
- 190
- 30
- 380
- 160
- 280
- 50
- 9
- 550
- 6
- 4000
- 150
- 80
- 2
- 1
- 50
- 240
- 4300
- 360
- 140
- 3
- 100
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