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 480 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 2.🏋️ A 20 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ 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?
- 5.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ Pushing a crate 2 m took 180 J of work. What force was used, in newtons?
- 7.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) less effort (d) the same effort
- 8.🏋️ A force of 240 N did 480 J of work. How many metres did the object move?
- 9.🏋️ Pushing a crate 5 m took 2000 J of work. What force was used, in newtons?
- 10.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 180 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 12.🏋️ A machine lifts a load of 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 13.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) load ÷ effort (d) effort ÷ load
- 14.🏋️ An 11 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ Pushing a crate 6 m took 600 J of work. What force was used, in newtons?
- 16.🏋️ Pushing a crate 2 m took 500 J of work. What force was used, in newtons?
- 17.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) metre (m) (d) joule (J)
- 18.🏋️ Pushing a crate 2 m took 80 J of work. What force was used, in newtons?
- 19.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 20.🏋️ A force of 40 N did 80 J of work. How many metres did the object move?
- 21.🏋️ Pushing a crate 9 m took 990 J of work. What force was used, in newtons?
- 22.🏋️ A force of 350 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 450 N did 1350 J of work. How many metres did the object move?
- 24.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, always (d) yes, by half
- 25.🏋️ A force of 240 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 26.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A 6 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 31.🏋️ A force of 30 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 32.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 33.🏋️ Pushing a crate 1 m took 400 J of work. What force was used, in newtons?
- 34.🏋️ A machine lifts a load of 500 N when you push with 100 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 210 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 36.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 38.🏋️ 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?
- 39.🏋️ Pushing a crate 9 m took 3690 J of work. What force was used, in newtons?
- 40.🏋️ Pushing a crate 4 m took 440 J of work. What force was used, in newtons?
Answer key
- 960
- 400
- 950
- 140
- 150
- 90
- less effort
- 2
- 400
- 6
- 180
- 3
- load ÷ effort
- 330
- 100
- 250
- joule (J)
- 40
- through a distance
- 2
- 110
- 3150
- 3
- no, work stays the same
- 2400
- 100
- 950
- 700
- 180
- 6
- 30
- 5
- 400
- 5
- 1890
- 1000
- 5
- 240
- 410
- 110
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