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 longer ramp to the same height needs … (a) less effort (b) the same effort (c) no effort (d) more effort
- 2.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 3.🏋️ A force of 430 N did 2150 J of work. How many metres did the object move?
- 4.🏋️ A force of 450 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 5.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 6.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3200 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A force of 440 N did 440 J of work. How many metres did the object move?
- 8.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 9.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ 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?
- 11.🏋️ A force of 440 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 12.🏋️ Pushing a crate 2 m took 700 J of work. What force was used, in newtons?
- 13.🏋️ 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?
- 14.🏋️ 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?
- 15.🏋️ 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?
- 16.🏋️ A force of 340 N did 340 J of work. How many metres did the object move?
- 17.🏋️ A force of 100 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 18.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A 12 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 21.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ 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?
- 23.🏋️ A force of 160 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 24.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 25.🏋️ Pushing a crate 1 m took 330 J of work. What force was used, in newtons?
- 26.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 500 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 190 N did 760 J of work. How many metres did the object move?
- 29.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 30.🏋️ A force of 460 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 31.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 320 N did 320 J of work. How many metres did the object move?
- 33.🏋️ A machine lifts a load of 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 34.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A force of 360 N did 360 J of work. How many metres did the object move?
- 37.🏋️ A force of 320 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 450 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 39.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ Pushing a crate 2 m took 480 J of work. What force was used, in newtons?
Answer key
- less effort
- joule (J)
- 5
- 4050
- 2
- 800
- 1
- load ÷ effort
- 250
- 300
- 1320
- 350
- 800
- 80
- 50
- 1
- 300
- 200
- 600
- through a distance
- 150
- 540
- 320
- 5
- 330
- 600
- 4000
- 4
- no, work stays the same
- 3680
- 150
- 1
- 3
- 300
- 200
- 1
- 1280
- 3600
- 750
- 240
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