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 machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 2.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) through a distance (d) only upwards
- 3.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 4.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 5.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) metre (m) (d) joule (J)
- 7.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A force of 80 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 9.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 190 N did 1330 J of work. How many metres did the object move?
- 11.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 12.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A force of 350 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 15.🏋️ 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?
- 16.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 17.🏋️ Pushing a crate 3 m took 870 J of work. What force was used, in newtons?
- 18.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 320 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 21.🏋️ A machine lifts a load of 840 N when you push with 140 N. What is its mechanical advantage (MA)?
- 22.🏋️ Pushing a crate 3 m took 600 J of work. What force was used, in newtons?
- 23.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) load × effort (d) effort ÷ load
- 24.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) more effort (d) the same effort
- 25.🏋️ Pushing a crate 8 m took 2720 J of work. What force was used, in newtons?
- 26.🏋️ A force of 40 N did 200 J of work. How many metres did the object move?
- 27.🏋️ Pushing a crate 4 m took 600 J of work. What force was used, in newtons?
- 28.🏋️ 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
- 29.🏋️ A force of 80 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 30.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 31.🏋️ A force of 30 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 32.🏋️ Pushing a crate 3 m took 390 J of work. What force was used, in newtons?
- 33.🏋️ A force of 460 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 34.🏋️ A 15 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A 19 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A force of 100 N did 1000 J of work. How many metres did the object move?
- 37.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A force of 330 N did 2640 J of work. How many metres did the object move?
- 39.🏋️ A force of 120 N did 480 J of work. How many metres did the object move?
- 40.🏋️ A force of 280 N did 1680 J of work. How many metres did the object move?
Answer key
- 2
- through a distance
- 6
- 2
- 900
- joule (J)
- 100
- 80
- 6
- 7
- 3
- 150
- 20
- 1400
- 360
- 3
- 290
- 200
- 5
- 960
- 6
- 200
- load ÷ effort
- less effort
- 340
- 5
- 150
- no, work stays the same
- 640
- 2
- 120
- 130
- 4140
- 150
- 570
- 10
- 550
- 8
- 4
- 6
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