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.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) joule (J) (d) watt hour
- 2.🏋️ Pushing a crate 3 m took 60 J of work. What force was used, in newtons?
- 3.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A force of 360 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 5.🏋️ 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?
- 6.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) the same effort (d) more effort
- 7.🏋️ 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?
- 8.🏋️ A force of 300 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 9.🏋️ Pushing a crate 3 m took 1350 J of work. What force was used, in newtons?
- 10.🏋️ A 10 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ 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?
- 13.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) without moving it (d) only upwards
- 14.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) yes, by half (d) no, work stays the same
- 15.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 16.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 18.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 19.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 20.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ 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)
- 22.🏋️ A force of 20 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 23.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5400 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A 17 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A force of 110 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 26.🏋️ Pushing a crate 3 m took 270 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 6 m took 1080 J of work. What force was used, in newtons?
- 28.🏋️ Pushing a crate 6 m took 2400 J of work. What force was used, in newtons?
- 29.🏋️ Pushing a crate 3 m took 870 J of work. What force was used, in newtons?
- 30.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 32.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 33.🏋️ A 12 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A force of 280 N did 2800 J of work. How many metres did the object move?
- 37.🏋️ A force of 310 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 30 N did 180 J of work. How many metres did the object move?
- 39.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 40.🏋️ Pushing a crate 3 m took 1260 J of work. What force was used, in newtons?
Answer key
- joule (J)
- 20
- 50
- 2160
- 180
- less effort
- 360
- 900
- 450
- 200
- 850
- 80
- through a distance
- no, work stays the same
- 3
- 50
- 3
- load ÷ effort
- 6
- 600
- 450
- 200
- 900
- 850
- 550
- 90
- 180
- 400
- 290
- 200
- 3
- 6
- 360
- 500
- 70
- 10
- 1550
- 6
- 3
- 420
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