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 130 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 2.🏋️ Pushing a crate 1 m took 470 J of work. What force was used, in newtons?
- 3.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 4.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A force of 380 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 6.🏋️ A force of 120 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 7.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 8.🏋️ A force of 480 N did 4320 J of work. How many metres did the object move?
- 9.🏋️ A 4 kg box is lifted straight up by 2 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 force of 370 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 12.🏋️ A 20 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ 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)
- 14.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A force of 230 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 120 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 17.🏋️ A 19 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A force of 30 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 270 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 20.🏋️ Pushing a crate 2 m took 600 J of work. What force was used, in newtons?
- 21.🏋️ 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?
- 22.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) more effort (d) no effort
- 24.🏋️ Pushing a crate 4 m took 80 J of work. What force was used, in newtons?
- 25.🏋️ A force of 380 N did 760 J of work. How many metres did the object move?
- 26.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) through a distance (d) without moving it
- 27.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, always (d) yes, by half
- 28.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 29.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 30.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 31.🏋️ A 20 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 33.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 34.🏋️ Pushing a crate 1 m took 500 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 6 m took 2460 J of work. What force was used, in newtons?
- 36.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 37.🏋️ 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?
- 38.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A force of 50 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 80 N did 160 J of work. How many metres did the object move?
Answer key
- 1300
- 470
- 5
- 700
- 2280
- 600
- 2
- 9
- 80
- 40
- 2960
- 800
- 250
- 70
- 460
- 480
- 380
- 240
- 810
- 300
- 300
- 600
- less effort
- 20
- 2
- through a distance
- no, work stays the same
- 2
- 3
- load ÷ effort
- 1000
- 2
- joule (J)
- 500
- 410
- 2
- 180
- 30
- 50
- 2
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