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 500 N did 2500 J of work. How many metres did the object move?
- 2.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A force of 110 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 4.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A force of 30 N did 60 J of work. How many metres did the object move?
- 6.🏋️ Pushing a crate 10 m took 3200 J of work. What force was used, in newtons?
- 7.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A force of 500 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 9.🏋️ Pushing a crate 8 m took 1680 J of work. What force was used, in newtons?
- 10.🏋️ Pushing a crate 6 m took 660 J of work. What force was used, in newtons?
- 11.🏋️ A force of 300 N did 1200 J of work. How many metres did the object move?
- 12.🏋️ Pushing a crate 3 m took 690 J of work. What force was used, in newtons?
- 13.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) joule (J) (d) newton (N)
- 14.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 15.🏋️ A force of 130 N did 260 J of work. How many metres did the object move?
- 16.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) only upwards (d) without moving it
- 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.🏋️ A force of 400 N did 800 J of work. How many metres did the object move?
- 19.🏋️ A force of 480 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 20.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) load ÷ effort (d) effort ÷ load
- 21.🏋️ Pushing a crate 4 m took 480 J of work. What force was used, in newtons?
- 22.🏋️ Pushing a crate 3 m took 990 J of work. What force was used, in newtons?
- 23.🏋️ 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?
- 24.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 260 N did 260 J of work. How many metres did the object move?
- 26.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 27.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 460 N did 2760 J of work. How many metres did the object move?
- 29.🏋️ Pushing a crate 5 m took 350 J of work. What force was used, in newtons?
- 30.🏋️ Pushing a crate 9 m took 2790 J of work. What force was used, in newtons?
- 31.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 32.🏋️ Pushing a crate 6 m took 2280 J of work. What force was used, in newtons?
- 33.🏋️ A force of 340 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 9 m took 2340 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 4 m took 1640 J of work. What force was used, in newtons?
- 36.🏋️ Pushing a crate 10 m took 900 J of work. What force was used, in newtons?
- 37.🏋️ A force of 310 N did 2480 J of work. How many metres did the object move?
- 38.🏋️ Pushing a crate 2 m took 220 J of work. What force was used, in newtons?
- 39.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 40.🏋️ A 20 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
- 5
- 500
- 990
- 300
- 2
- 320
- 350
- 4000
- 210
- 110
- 4
- 230
- joule (J)
- no, work stays the same
- 2
- through a distance
- 280
- 2
- 4320
- load ÷ effort
- 120
- 330
- 240
- 450
- 1
- 2
- 450
- 6
- 70
- 310
- 6
- 380
- 680
- 260
- 410
- 90
- 8
- 110
- less effort
- 600
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