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 210 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 2.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) load + effort (d) effort ÷ load
- 3.🏋️ 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?
- 4.🏋️ Pushing a crate 10 m took 1500 J of work. What force was used, in newtons?
- 5.🏋️ Pushing a crate 7 m took 560 J of work. What force was used, in newtons?
- 6.🏋️ A 1 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ Pushing a crate 4 m took 1840 J of work. What force was used, in newtons?
- 8.🏋️ A force of 70 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 30 N did 180 J of work. How many metres did the object move?
- 10.🏋️ A force of 180 N did 180 J of work. How many metres did the object move?
- 11.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) more effort (d) the same effort
- 12.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) watt hour (d) metre (m)
- 13.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 16.🏋️ Pushing a crate 4 m took 1160 J of work. What force was used, in newtons?
- 17.🏋️ Pushing a crate 7 m took 3290 J of work. What force was used, in newtons?
- 18.🏋️ An 8 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ Pushing a crate 4 m took 80 J of work. What force was used, in newtons?
- 20.🏋️ A 4 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) only on Mondays (d) yes, by half
- 22.🏋️ A force of 100 N did 200 J of work. How many metres did the object move?
- 23.🏋️ A force of 230 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 30 N did 60 J of work. How many metres did the object move?
- 25.🏋️ An 18 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A force of 460 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 27.🏋️ A 16 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A force of 200 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 29.🏋️ Pushing a crate 5 m took 2300 J of work. What force was used, in newtons?
- 30.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) without moving it (d) only upwards
- 31.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 32.🏋️ Pushing a crate 1 m took 380 J of work. What force was used, in newtons?
- 33.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A force of 300 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 50 N did 250 J of work. How many metres did the object move?
- 36.🏋️ A force of 460 N did 1840 J of work. How many metres did the object move?
- 37.🏋️ A force of 500 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 38.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 39.🏋️ Pushing a crate 7 m took 350 J of work. What force was used, in newtons?
- 40.🏋️ A force of 360 N pushes a cart 9 m along the floor. How much work is done, in joules?
Answer key
- 1680
- load ÷ effort
- 240
- 150
- 80
- 20
- 460
- 420
- 6
- 1
- less effort
- joule (J)
- 900
- 180
- 5
- 290
- 470
- 80
- 20
- 200
- no, work stays the same
- 2
- 460
- 2
- 360
- 1380
- 320
- 1400
- 460
- through a distance
- 2
- 380
- 40
- 300
- 5
- 4
- 3500
- 4
- 50
- 3240
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