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 150 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 2.🏋️ A force of 190 N did 1900 J of work. How many metres did the object move?
- 3.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 190 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 5.🏋️ An 11 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.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 7.🏋️ Pushing a crate 9 m took 720 J of work. What force was used, in newtons?
- 8.🏋️ A force of 130 N did 520 J of work. How many metres did the object move?
- 9.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A 14 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ Pushing a crate 10 m took 3700 J of work. What force was used, in newtons?
- 12.🏋️ A force of 90 N did 180 J of work. How many metres did the object move?
- 13.🏋️ 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?
- 14.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 15.🏋️ A force of 150 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 16.🏋️ Pushing a crate 5 m took 2150 J of work. What force was used, in newtons?
- 17.🏋️ A force of 180 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 18.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) yes, by half (d) no, work stays the same
- 19.🏋️ 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?
- 20.🏋️ A machine lifts a load of 400 N when you push with 100 N. What is its mechanical advantage (MA)?
- 21.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) without moving it (d) through a distance
- 22.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 23.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) less effort (d) more effort
- 24.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 25.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 26.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ 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)
- 29.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 260 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 330 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 32.🏋️ Pushing a crate 5 m took 1200 J of work. What force was used, in newtons?
- 33.🏋️ A force of 440 N did 1760 J of work. How many metres did the object move?
- 34.🏋️ A 9 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 36.🏋️ A 6 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.🏋️ Pushing a crate 1 m took 200 J of work. What force was used, in newtons?
- 38.🏋️ 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?
- 39.🏋️ A force of 140 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 40.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 600
- 10
- 2
- 1900
- 440
- load ÷ effort
- 80
- 4
- 100
- 420
- 370
- 2
- 150
- 5
- 150
- 430
- 1800
- no, work stays the same
- 60
- 4
- through a distance
- joule (J)
- less effort
- 6
- 6
- 180
- 120
- 500
- 4
- 780
- 2970
- 240
- 4
- 270
- 4
- 300
- 200
- 400
- 840
- 650
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