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.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 2.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ Pushing a crate 10 m took 500 J of work. What force was used, in newtons?
- 4.🏋️ A force of 220 N did 440 J of work. How many metres did the object move?
- 5.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 6.🏋️ Pushing a crate 1 m took 80 J of work. What force was used, in newtons?
- 7.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
- 8.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A 1 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 12.🏋️ A force of 470 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 410 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 390 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 15.🏋️ A force of 470 N did 2350 J of work. How many metres did the object move?
- 16.🏋️ 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?
- 17.🏋️ Pushing a crate 7 m took 2660 J of work. What force was used, in newtons?
- 18.🏋️ A force of 130 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 10 N did 90 J of work. How many metres did the object move?
- 20.🏋️ Pushing a crate 3 m took 420 J of work. What force was used, in newtons?
- 21.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 24.🏋️ Pushing a crate 1 m took 270 J of work. What force was used, in newtons?
- 25.🏋️ An 8 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 330 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 180 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 310 N did 310 J of work. How many metres did the object move?
- 30.🏋️ A 14 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A force of 460 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 33.🏋️ A 17 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 60 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 35.🏋️ 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?
- 36.🏋️ Pushing a crate 8 m took 1680 J of work. What force was used, in newtons?
- 37.🏋️ A force of 190 N did 380 J of work. How many metres did the object move?
- 38.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) joule (J) (d) watt hour
- 40.🏋️ Pushing a crate 9 m took 2790 J of work. What force was used, in newtons?
Answer key
- through a distance
- 200
- 50
- 2
- no, work stays the same
- 80
- less effort
- 500
- 250
- 30
- 5
- 3760
- 820
- 2340
- 5
- 90
- 380
- 1300
- 9
- 140
- 50
- 400
- load ÷ effort
- 270
- 400
- 850
- 1980
- 360
- 1
- 140
- 120
- 920
- 680
- 600
- 160
- 210
- 2
- 850
- joule (J)
- 310
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