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 110 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 2.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) no, work stays the same (d) yes, by half
- 3.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 4.🏋️ A force of 140 N did 1120 J of work. How many metres did the object move?
- 5.🏋️ A force of 380 N did 1140 J of work. How many metres did the object move?
- 6.🏋️ A force of 30 N did 150 J of work. How many metres did the object move?
- 7.🏋️ Pushing a crate 6 m took 2100 J of work. What force was used, in newtons?
- 8.🏋️ Pushing a crate 1 m took 130 J of work. What force was used, in newtons?
- 9.🏋️ 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?
- 10.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 12.🏋️ 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?
- 13.🏋️ A force of 140 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 14.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) more effort (d) less effort
- 15.🏋️ A 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A force of 10 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 17.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ 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?
- 19.🏋️ Pushing a crate 2 m took 20 J of work. What force was used, in newtons?
- 20.🏋️ A force of 200 N did 1000 J of work. How many metres did the object move?
- 21.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 23.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 24.🏋️ A force of 30 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 370 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 26.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 200 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 28.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 370 N did 1850 J of work. How many metres did the object move?
- 30.🏋️ A force of 110 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 31.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 200 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 50 N did 150 J of work. How many metres did the object move?
- 34.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 36.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A force of 220 N did 440 J of work. How many metres did the object move?
- 38.🏋️ A machine lifts a load of 1000 N when you push with 200 N. What is its mechanical advantage (MA)?
- 39.🏋️ 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?
- 40.🏋️ A 17 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 220
- no, work stays the same
- joule (J)
- 8
- 3
- 5
- 350
- 130
- 250
- 40
- 5
- 150
- 420
- less effort
- 90
- 60
- 80
- 100
- 10
- 5
- 1000
- through a distance
- load ÷ effort
- 60
- 740
- 40
- 1000
- 4
- 5
- 1100
- 6
- 1200
- 3
- 150
- 3
- 900
- 2
- 5
- 540
- 510
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