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.🏋️ A force of 150 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 2.🏋️ A 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ A force of 10 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 130 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 5.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) less effort (d) the same effort
- 6.🏋️ A force of 480 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 240 N did 480 J of work. How many metres did the object move?
- 8.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 10.🏋️ A force of 30 N did 120 J of work. How many metres did the object move?
- 11.🏋️ A force of 390 N did 3510 J of work. How many metres did the object move?
- 12.🏋️ A machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 270 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 14.🏋️ Pushing a crate 4 m took 480 J of work. What force was used, in newtons?
- 15.🏋️ A force of 400 N did 3600 J of work. How many metres did the object move?
- 16.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 17.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) yes, always (d) no, work stays the same
- 18.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A force of 380 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 20.🏋️ Pushing a crate 6 m took 660 J of work. What force was used, in newtons?
- 21.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A force of 110 N did 550 J of work. How many metres did the object move?
- 23.🏋️ Pushing a crate 3 m took 60 J of work. What force was used, in newtons?
- 24.🏋️ Pushing a crate 1 m took 410 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 9 m took 1080 J of work. What force was used, in newtons?
- 26.🏋️ A 5 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ Pushing a crate 8 m took 1760 J of work. What force was used, in newtons?
- 29.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2600 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A 10 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A force of 50 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 420 N did 420 J of work. How many metres did the object move?
- 33.🏋️ A 16 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 35.🏋️ A force of 310 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 310 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 37.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ An 18 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 force of 310 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 40.🏋️ Pushing a crate 3 m took 990 J of work. What force was used, in newtons?
Answer key
- 1350
- 200
- 10
- 390
- less effort
- 2880
- 2
- 120
- through a distance
- 4
- 9
- 4
- 540
- 120
- 9
- 2
- no, work stays the same
- 170
- 1140
- 110
- 50
- 5
- 20
- 410
- 120
- 250
- 600
- 220
- 650
- 400
- 200
- 1
- 800
- load ÷ effort
- 2480
- 930
- 850
- 360
- 2790
- 330
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