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 longer ramp to the same height needs … (a) no effort (b) the same effort (c) more effort (d) less effort
- 2.🏋️ Pushing a crate 2 m took 180 J of work. What force was used, in newtons?
- 3.🏋️ 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?
- 4.🏋️ A force of 20 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 460 N did 4140 J of work. How many metres did the object move?
- 6.🏋️ Pushing a crate 7 m took 1260 J of work. What force was used, in newtons?
- 7.🏋️ Pushing a crate 3 m took 690 J of work. What force was used, in newtons?
- 8.🏋️ A force of 460 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 9.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 10.🏋️ Pushing a crate 6 m took 720 J of work. What force was used, in newtons?
- 11.🏋️ Pushing a crate 3 m took 900 J of work. What force was used, in newtons?
- 12.🏋️ A force of 220 N did 1540 J of work. How many metres did the object move?
- 13.🏋️ A force of 80 N did 560 J of work. How many metres did the object move?
- 14.🏋️ Pushing a crate 8 m took 3680 J of work. What force was used, in newtons?
- 15.🏋️ A 14 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 force of 120 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 17.🏋️ A 7 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 19.🏋️ A 14 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) very slowly (d) without moving it
- 21.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load × effort (d) load + effort
- 22.🏋️ A force of 100 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 23.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 290 N did 870 J of work. How many metres did the object move?
- 25.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A 4 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 240 N did 1680 J of work. How many metres did the object move?
- 28.🏋️ A force of 190 N did 380 J of work. How many metres did the object move?
- 29.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) yes, by half (d) only on Mondays
- 30.🏋️ A force of 310 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 31.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ Pushing a crate 3 m took 90 J of work. What force was used, in newtons?
- 33.🏋️ A force of 440 N did 2200 J of work. How many metres did the object move?
- 34.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 4 m took 1200 J of work. What force was used, in newtons?
- 37.🏋️ A force of 200 N did 1600 J of work. How many metres did the object move?
- 38.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 39.🏋️ Pushing a crate 9 m took 3510 J of work. What force was used, in newtons?
- 40.🏋️ Pushing a crate 4 m took 720 J of work. What force was used, in newtons?
Answer key
- less effort
- 90
- 570
- 20
- 9
- 180
- 230
- 920
- 4
- 120
- 300
- 7
- 7
- 460
- 420
- 120
- 280
- joule (J)
- 700
- through a distance
- load ÷ effort
- 800
- 500
- 3
- 170
- 160
- 7
- 2
- no, work stays the same
- 1860
- 400
- 30
- 5
- 760
- 6
- 300
- 8
- 3
- 390
- 180
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