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 did 750 J of work. How many metres did the object move?
- 2.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 3.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load + effort (d) load × effort
- 5.🏋️ Pushing a crate 5 m took 300 J of work. What force was used, in newtons?
- 6.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 7.🏋️ 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?
- 8.🏋️ Pushing a crate 10 m took 4400 J of work. What force was used, in newtons?
- 9.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 10.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 11.🏋️ 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?
- 12.🏋️ A 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ Pushing a crate 9 m took 2790 J of work. What force was used, in newtons?
- 14.🏋️ A force of 70 N did 560 J of work. How many metres did the object move?
- 15.🏋️ A force of 180 N did 1440 J of work. How many metres did the object move?
- 16.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 17.🏋️ A force of 460 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 18.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 290 N did 870 J of work. How many metres did the object move?
- 20.🏋️ A 3 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) newton (N) (d) metre (m)
- 22.🏋️ A force of 30 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 100 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 24.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 25.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A force of 290 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 27.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 28.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 29.🏋️ Pushing a crate 4 m took 440 J of work. What force was used, in newtons?
- 30.🏋️ A force of 370 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 10 N did 100 J of work. How many metres did the object move?
- 32.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) without moving it (d) only upwards
- 33.🏋️ A force of 400 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 6 m took 2280 J of work. What force was used, in newtons?
- 35.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ Pushing a crate 7 m took 490 J of work. What force was used, in newtons?
- 37.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ Pushing a crate 3 m took 60 J of work. What force was used, in newtons?
- 40.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 5
- 2
- 900
- load ÷ effort
- 60
- 2
- 120
- 440
- 4
- less effort
- 10
- 240
- 310
- 8
- 8
- no, work stays the same
- 920
- 300
- 3
- 60
- joule (J)
- 120
- 700
- 3
- 40
- 290
- 5
- 3
- 110
- 2960
- 10
- through a distance
- 3600
- 380
- 500
- 70
- 450
- 550
- 20
- 150
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