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 machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 2.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 3.🏋️ Pushing a crate 2 m took 60 J of work. What force was used, in newtons?
- 4.🏋️ A 10 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ 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?
- 6.🏋️ A force of 210 N did 210 J of work. How many metres did the object move?
- 7.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Pushing a crate 2 m took 440 J of work. What force was used, in newtons?
- 9.🏋️ A force of 450 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 10.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 12.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 430 N did 3010 J of work. How many metres did the object move?
- 15.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 150 N did 450 J of work. How many metres did the object move?
- 17.🏋️ 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)
- 18.🏋️ A force of 250 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 19.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) no effort (d) more effort
- 20.🏋️ Pushing a crate 4 m took 1800 J of work. What force was used, in newtons?
- 21.🏋️ A force of 380 N did 3800 J of work. How many metres did the object move?
- 22.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 330 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 25.🏋️ An 8 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A force of 100 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 27.🏋️ Pushing a crate 2 m took 620 J of work. What force was used, in newtons?
- 28.🏋️ Pushing a crate 8 m took 1680 J of work. What force was used, in newtons?
- 29.🏋️ A 20 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A force of 70 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 31.🏋️ 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)
- 32.🏋️ 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
- 33.🏋️ A machine lifts a load of 600 N when you push with 150 N. What is its mechanical advantage (MA)?
- 34.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A force of 100 N did 500 J of work. How many metres did the object move?
- 36.🏋️ A 17 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ Pushing a crate 2 m took 500 J of work. What force was used, in newtons?
- 38.🏋️ 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?
- 39.🏋️ A 7 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 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?
Answer key
- 2
- joule (J)
- 30
- 200
- 150
- 1
- 750
- 220
- 2250
- 250
- through a distance
- 800
- 450
- 7
- 5
- 3
- 400
- 1500
- less effort
- 450
- 10
- 300
- 500
- 2640
- 160
- 800
- 310
- 210
- 400
- 140
- 50
- no, work stays the same
- 4
- 300
- 5
- 340
- 250
- 280
- 140
- 680
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