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 490 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 2.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ Pushing a crate 1 m took 30 J of work. What force was used, in newtons?
- 4.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) very slowly (d) only upwards
- 5.🏋️ Pushing a crate 5 m took 1650 J of work. What force was used, in newtons?
- 6.🏋️ A force of 50 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 7.🏋️ Pushing a crate 6 m took 2520 J of work. What force was used, in newtons?
- 8.🏋️ Pushing a crate 3 m took 330 J of work. What force was used, in newtons?
- 9.🏋️ A machine lifts a load of 600 N when you push with 100 N. What is its mechanical advantage (MA)?
- 10.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 11.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 13.🏋️ A force of 200 N did 1200 J of work. How many metres did the object move?
- 14.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, by half (d) yes, always
- 15.🏋️ Pushing a crate 2 m took 280 J of work. What force was used, in newtons?
- 16.🏋️ A force of 330 N did 330 J of work. How many metres did the object move?
- 17.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) no effort (d) the same effort
- 18.🏋️ A force of 80 N did 720 J of work. How many metres did the object move?
- 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.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
- 22.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 350 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 400 N did 800 J of work. How many metres did the object move?
- 25.🏋️ Pushing a crate 5 m took 1900 J of work. What force was used, in newtons?
- 26.🏋️ Pushing a crate 6 m took 2160 J of work. What force was used, in newtons?
- 27.🏋️ A force of 20 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 28.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A force of 70 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 30.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 32.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 490 N did 1960 J of work. How many metres did the object move?
- 34.🏋️ Pushing a crate 3 m took 1500 J of work. What force was used, in newtons?
- 35.🏋️ A force of 60 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 36.🏋️ An 8 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 38.🏋️ A force of 110 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 39.🏋️ A force of 110 N did 220 J of work. How many metres did the object move?
- 40.🏋️ 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)
Answer key
- 3430
- 300
- 30
- through a distance
- 330
- 500
- 420
- 110
- 6
- 3
- 750
- load ÷ effort
- 6
- no, work stays the same
- 140
- 1
- less effort
- 9
- 130
- 1000
- 5
- 3
- 3500
- 2
- 380
- 360
- 80
- 240
- 280
- 750
- 2
- 3
- 4
- 500
- 540
- 400
- joule (J)
- 1100
- 2
- 100
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