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 200 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 2.🏋️ A 10 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 4.🏋️ Pushing a crate 3 m took 690 J of work. What force was used, in newtons?
- 5.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) the same effort (d) no effort
- 6.🏋️ A machine lifts a load of 280 N when you push with 140 N. What is its mechanical advantage (MA)?
- 7.🏋️ A 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A force of 170 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 9.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 10.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) load ÷ effort (d) effort ÷ load
- 11.🏋️ Pushing a crate 6 m took 1680 J of work. What force was used, in newtons?
- 12.🏋️ 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
- 13.🏋️ A force of 260 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 80 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 15.🏋️ A force of 300 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 10 N did 80 J of work. How many metres did the object move?
- 17.🏋️ Pushing a crate 2 m took 220 J of work. What force was used, in newtons?
- 18.🏋️ A force of 470 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 150 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 20.🏋️ Pushing a crate 1 m took 440 J of work. What force was used, in newtons?
- 21.🏋️ Pushing a crate 3 m took 930 J of work. What force was used, in newtons?
- 22.🏋️ Pushing a crate 4 m took 120 J of work. What force was used, in newtons?
- 23.🏋️ Pushing a crate 8 m took 3680 J of work. What force was used, in newtons?
- 24.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2600 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 26.🏋️ A force of 240 N did 240 J of work. How many metres did the object move?
- 27.🏋️ A force of 230 N did 2070 J of work. How many metres did the object move?
- 28.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 29.🏋️ Pushing a crate 4 m took 1120 J of work. What force was used, in newtons?
- 30.🏋️ A force of 450 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 31.🏋️ An 11 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 33.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ Pushing a crate 4 m took 1360 J of work. What force was used, in newtons?
- 35.🏋️ A 16 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 270 N did 1620 J of work. How many metres did the object move?
- 37.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 38.🏋️ A force of 430 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 1 m took 410 J of work. What force was used, in newtons?
- 40.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 1400
- 300
- through a distance
- 230
- less effort
- 2
- 60
- 170
- joule (J)
- load ÷ effort
- 280
- no, work stays the same
- 1040
- 400
- 600
- 8
- 110
- 1880
- 750
- 440
- 310
- 30
- 460
- 650
- 2
- 1
- 9
- 4
- 280
- 3150
- 220
- 2
- 600
- 340
- 160
- 6
- 2
- 3440
- 410
- 600
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