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) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 2.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3200 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A force of 140 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 4.🏋️ Pushing a crate 5 m took 1800 J of work. What force was used, in newtons?
- 5.🏋️ An 18 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.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) the same effort (d) no effort
- 7.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 8.🏋️ A force of 320 N did 1600 J of work. How many metres did the object move?
- 9.🏋️ A force of 140 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 10.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 370 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 430 N did 1290 J of work. How many metres did the object move?
- 14.🏋️ A 15 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.🏋️ An 18 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.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) without moving it (d) only upwards
- 17.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 18.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) yes, always (d) no, work stays the same
- 19.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ Pushing a crate 7 m took 2450 J of work. What force was used, in newtons?
- 21.🏋️ A force of 470 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 40 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 350 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 80 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 25.🏋️ Pushing a crate 10 m took 1700 J of work. What force was used, in newtons?
- 26.🏋️ A 2 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 28.🏋️ A force of 110 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 330 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 350 N did 350 J of work. How many metres did the object move?
- 31.🏋️ A force of 240 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 32.🏋️ 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)
- 33.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 34.🏋️ 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)
- 35.🏋️ A force of 20 N did 200 J of work. How many metres did the object move?
- 36.🏋️ A force of 60 N did 300 J of work. How many metres did the object move?
- 37.🏋️ A force of 350 N did 1750 J of work. How many metres did the object move?
- 38.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 280 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 440 N pushes a cart 4 m along the floor. How much work is done, in joules?
Answer key
- joule (J)
- 800
- 420
- 360
- 720
- less effort
- 5
- 5
- 560
- 100
- 350
- 3700
- 3
- 150
- 540
- through a distance
- load ÷ effort
- no, work stays the same
- 130
- 350
- 3760
- 120
- 1050
- 400
- 170
- 60
- 5
- 880
- 2310
- 1
- 2160
- 850
- 3
- 200
- 10
- 5
- 5
- 400
- 2240
- 1760
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