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.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 2.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) no effort (d) more effort
- 4.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ 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?
- 6.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A force of 150 N did 1350 J of work. How many metres did the object move?
- 8.🏋️ A force of 230 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 9.🏋️ 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?
- 10.🏋️ 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)
- 11.🏋️ Pushing a crate 9 m took 2520 J of work. What force was used, in newtons?
- 12.🏋️ A force of 200 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 13.🏋️ 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
- 14.🏋️ Pushing a crate 3 m took 1050 J of work. What force was used, in newtons?
- 15.🏋️ Pushing a crate 8 m took 400 J of work. What force was used, in newtons?
- 16.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 18.🏋️ A force of 20 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 19.🏋️ Pushing a crate 7 m took 420 J of work. What force was used, in newtons?
- 20.🏋️ A 7 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A force of 50 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 22.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 20 N did 180 J of work. How many metres did the object move?
- 24.🏋️ A force of 190 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 25.🏋️ Pushing a crate 1 m took 490 J of work. What force was used, in newtons?
- 26.🏋️ Pushing a crate 8 m took 1600 J of work. What force was used, in newtons?
- 27.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ Pushing a crate 5 m took 1650 J of work. What force was used, in newtons?
- 29.🏋️ A force of 400 N did 4000 J of work. How many metres did the object move?
- 30.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 31.🏋️ Pushing a crate 9 m took 1890 J of work. What force was used, in newtons?
- 32.🏋️ Pushing a crate 3 m took 330 J of work. What force was used, in newtons?
- 33.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) without moving it (d) very slowly
- 35.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 150 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 37.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A force of 330 N did 2310 J of work. How many metres did the object move?
- 39.🏋️ A 14 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A force of 500 N pushes a cart 10 m along the floor. How much work is done, in joules?
Answer key
- joule (J)
- 450
- less effort
- 850
- 320
- 550
- 9
- 1610
- 360
- 50
- 280
- 1000
- no, work stays the same
- 350
- 50
- 750
- load ÷ effort
- 60
- 60
- 210
- 200
- 400
- 9
- 1900
- 490
- 200
- 800
- 330
- 10
- 2
- 210
- 110
- 100
- through a distance
- 50
- 1050
- 600
- 7
- 280
- 5000
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