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 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 250 N did 2000 J of work. How many metres did the object move?
- 3.🏋️ Pushing a crate 6 m took 120 J of work. What force was used, in newtons?
- 4.🏋️ A force of 160 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 20 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 6.🏋️ Pushing a crate 3 m took 240 J of work. What force was used, in newtons?
- 7.🏋️ Pushing a crate 7 m took 1750 J of work. What force was used, in newtons?
- 8.🏋️ A force of 90 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) the same effort (b) more effort (c) no effort (d) less effort
- 10.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4750 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) newton (N) (d) metre (m)
- 12.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 13.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) only upwards (d) through a distance
- 14.🏋️ Pushing a crate 9 m took 3510 J of work. What force was used, in newtons?
- 15.🏋️ A force of 490 N did 980 J of work. How many metres did the object move?
- 16.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 17.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 18.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) only on Mondays (d) yes, always
- 20.🏋️ A 3 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ 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?
- 22.🏋️ A force of 20 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 23.🏋️ A machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
- 24.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 470 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 26.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 30 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 28.🏋️ A machine lifts a load of 450 N when you push with 90 N. What is its mechanical advantage (MA)?
- 29.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 340 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 31.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ 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?
- 33.🏋️ Pushing a crate 9 m took 2610 J of work. What force was used, in newtons?
- 34.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 35.🏋️ A 4 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A force of 120 N did 960 J of work. How many metres did the object move?
- 38.🏋️ A force of 120 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 39.🏋️ A force of 300 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 300 N did 300 J of work. How many metres did the object move?
Answer key
- 4
- 8
- 20
- 1280
- 100
- 80
- 250
- 450
- less effort
- 950
- joule (J)
- load ÷ effort
- through a distance
- 390
- 2
- 3
- 2
- 800
- no, work stays the same
- 60
- 240
- 80
- 5
- 3
- 940
- 300
- 240
- 5
- 4
- 1700
- 50
- 100
- 290
- 2
- 200
- 60
- 8
- 360
- 1800
- 1
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