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 50 N did 500 J of work. How many metres did the object move?
- 2.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) metre (m) (d) newton (N)
- 3.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 4.🏋️ A force of 100 N did 300 J of work. How many metres did the object move?
- 5.🏋️ A 16 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 7.🏋️ A force of 480 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 8.🏋️ A force of 360 N did 720 J of work. How many metres did the object move?
- 9.🏋️ A force of 360 N did 360 J of work. How many metres did the object move?
- 10.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) only upwards (d) very slowly
- 12.🏋️ Pushing a crate 6 m took 1560 J of work. What force was used, in newtons?
- 13.🏋️ Pushing a crate 7 m took 3150 J of work. What force was used, in newtons?
- 14.🏋️ A 5 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 force of 290 N did 2610 J of work. How many metres did the object move?
- 16.🏋️ Pushing a crate 9 m took 1890 J of work. What force was used, in newtons?
- 17.🏋️ A force of 220 N did 1320 J of work. How many metres did the object move?
- 18.🏋️ A force of 190 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 19.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A force of 320 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 22.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ Pushing a crate 2 m took 720 J of work. What force was used, in newtons?
- 24.🏋️ Pushing a crate 8 m took 160 J of work. What force was used, in newtons?
- 25.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 26.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A 15 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ Pushing a crate 6 m took 600 J of work. What force was used, in newtons?
- 29.🏋️ A 1 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ Pushing a crate 5 m took 1000 J of work. What force was used, in newtons?
- 31.🏋️ A 10 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 390 N did 2730 J of work. How many metres did the object move?
- 33.🏋️ A force of 110 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 34.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) no effort (d) more effort
- 35.🏋️ A force of 280 N did 1960 J of work. How many metres did the object move?
- 36.🏋️ Pushing a crate 6 m took 2220 J of work. What force was used, in newtons?
- 37.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 360 N did 2880 J of work. How many metres did the object move?
- 40.🏋️ Pushing a crate 1 m took 340 J of work. What force was used, in newtons?
Answer key
- 10
- joule (J)
- no, work stays the same
- 3
- 640
- load ÷ effort
- 4320
- 2
- 1
- 800
- through a distance
- 260
- 450
- 50
- 9
- 210
- 6
- 1140
- 200
- 250
- 960
- 40
- 360
- 20
- 4
- 30
- 600
- 100
- 50
- 200
- 400
- 7
- 220
- less effort
- 7
- 370
- 950
- 800
- 8
- 340
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