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 smooth ramp is 8 m long and rises 2 m. What effort pushes a 3200 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) metre (m) (d) watt hour
- 4.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load + effort (d) load × effort
- 5.🏋️ A force of 340 N did 3400 J of work. How many metres did the object move?
- 6.🏋️ A machine lifts a load of 400 N when you push with 100 N. What is its mechanical advantage (MA)?
- 7.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A force of 30 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 9.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
- 10.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 11.🏋️ A 19 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 13.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ Pushing a crate 5 m took 2150 J of work. What force was used, in newtons?
- 16.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A force of 420 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 18.🏋️ 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
- 19.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 270 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 21.🏋️ 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?
- 22.🏋️ A force of 20 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 23.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 260 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 26.🏋️ Pushing a crate 10 m took 4900 J of work. What force was used, in newtons?
- 27.🏋️ A force of 20 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 28.🏋️ Pushing a crate 9 m took 1170 J of work. What force was used, in newtons?
- 29.🏋️ A 3 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.🏋️ A machine lifts a load of 700 N when you push with 140 N. What is its mechanical advantage (MA)?
- 31.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A 9 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A force of 220 N did 1760 J of work. How many metres did the object move?
- 34.🏋️ A force of 130 N did 130 J of work. How many metres did the object move?
- 35.🏋️ A force of 300 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 36.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ Pushing a crate 8 m took 800 J of work. What force was used, in newtons?
- 38.🏋️ A force of 330 N did 660 J of work. How many metres did the object move?
- 39.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A 5 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 800
- 100
- joule (J)
- load ÷ effort
- 10
- 4
- 300
- 150
- less effort
- 2
- 380
- through a distance
- 400
- 400
- 430
- 100
- 1260
- no, work stays the same
- 6
- 1620
- 540
- 20
- 200
- 3
- 1300
- 490
- 60
- 130
- 150
- 5
- 350
- 90
- 8
- 1
- 3000
- 50
- 100
- 2
- 700
- 250
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