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 smooth ramp is 15 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ 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?
- 3.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 4.🏋️ Pushing a crate 9 m took 3780 J of work. What force was used, in newtons?
- 5.🏋️ 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?
- 6.🏋️ A force of 310 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 220 N did 880 J of work. How many metres did the object move?
- 8.🏋️ A force of 80 N did 80 J of work. How many metres did the object move?
- 9.🏋️ A 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A force of 80 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 110 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 12.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 14.🏋️ A force of 20 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 15.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) more effort (d) less effort
- 16.🏋️ A force of 500 N did 2500 J of work. How many metres did the object move?
- 17.🏋️ A force of 110 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 18.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) watt hour (d) newton (N)
- 19.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 370 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 21.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 22.🏋️ Pushing a crate 7 m took 2100 J of work. What force was used, in newtons?
- 23.🏋️ A force of 450 N did 4050 J of work. How many metres did the object move?
- 24.🏋️ A force of 420 N did 2940 J of work. How many metres did the object move?
- 25.🏋️ Pushing a crate 1 m took 210 J of work. What force was used, in newtons?
- 26.🏋️ Pushing a crate 8 m took 2400 J of work. What force was used, in newtons?
- 27.🏋️ A force of 330 N did 1650 J of work. How many metres did the object move?
- 28.🏋️ A force of 420 N did 420 J of work. How many metres did the object move?
- 29.🏋️ 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?
- 30.🏋️ Pushing a crate 7 m took 2590 J of work. What force was used, in newtons?
- 31.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 32.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 33.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) only on Mondays (d) yes, always
- 34.🏋️ Pushing a crate 5 m took 1300 J of work. What force was used, in newtons?
- 35.🏋️ 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?
- 36.🏋️ A force of 60 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 37.🏋️ 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?
- 38.🏋️ A force of 420 N did 1260 J of work. How many metres did the object move?
- 39.🏋️ Pushing a crate 3 m took 420 J of work. What force was used, in newtons?
- 40.🏋️ A 16 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 400
- 240
- 3
- 420
- 200
- 310
- 4
- 1
- 90
- 80
- 880
- 750
- 4
- 140
- less effort
- 5
- 990
- joule (J)
- 2
- 740
- through a distance
- 300
- 9
- 7
- 210
- 300
- 5
- 1
- 240
- 370
- load ÷ effort
- 3
- no, work stays the same
- 260
- 20
- 240
- 400
- 3
- 140
- 480
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