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 260 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 2.🏋️ Pushing a crate 4 m took 920 J of work. What force was used, in newtons?
- 3.🏋️ A force of 250 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 4.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) very slowly (d) through a distance
- 5.🏋️ A force of 410 N did 2050 J of work. How many metres did the object move?
- 6.🏋️ Pushing a crate 10 m took 3400 J of work. What force was used, in newtons?
- 7.🏋️ A force of 360 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 8.🏋️ A force of 110 N did 880 J of work. How many metres did the object move?
- 9.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A force of 170 N did 1530 J of work. How many metres did the object move?
- 13.🏋️ A force of 10 N did 30 J of work. How many metres did the object move?
- 14.🏋️ A force of 150 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 15.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ Pushing a crate 10 m took 2100 J of work. What force was used, in newtons?
- 17.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A force of 430 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 19.🏋️ Pushing a crate 6 m took 3000 J of work. What force was used, in newtons?
- 20.🏋️ A force of 30 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 21.🏋️ Pushing a crate 2 m took 220 J of work. What force was used, in newtons?
- 22.🏋️ A force of 430 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 23.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ 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?
- 25.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) effort ÷ load (d) load × effort
- 26.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) more effort (d) less effort
- 27.🏋️ Pushing a crate 2 m took 920 J of work. What force was used, in newtons?
- 28.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) only on Mondays (d) yes, by half
- 30.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 31.🏋️ Pushing a crate 9 m took 1530 J of work. What force was used, in newtons?
- 32.🏋️ A 5 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ Pushing a crate 5 m took 950 J of work. What force was used, in newtons?
- 34.🏋️ Pushing a crate 10 m took 500 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 8 m took 160 J of work. What force was used, in newtons?
- 36.🏋️ A force of 40 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 37.🏋️ A 13 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 380 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 40.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
Answer key
- 260
- 230
- 1500
- through a distance
- 5
- 340
- 360
- 8
- 450
- 100
- 240
- 9
- 3
- 450
- 10
- 210
- 1000
- 3010
- 500
- 150
- 110
- 430
- 450
- 140
- load ÷ effort
- less effort
- 460
- 350
- no, work stays the same
- 6
- 170
- 200
- 190
- 50
- 20
- 320
- 390
- 250
- 3040
- 2
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