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 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?
- 2.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A force of 120 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 4.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ Pushing a crate 10 m took 1300 J of work. What force was used, in newtons?
- 6.🏋️ Pushing a crate 3 m took 720 J of work. What force was used, in newtons?
- 7.🏋️ A force of 90 N did 720 J of work. How many metres did the object move?
- 8.🏋️ A force of 70 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 9.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ Pushing a crate 1 m took 110 J of work. What force was used, in newtons?
- 11.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 13.🏋️ Pushing a crate 9 m took 2520 J of work. What force was used, in newtons?
- 14.🏋️ A 9 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 machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 16.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) without moving it (d) only upwards
- 17.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 18.🏋️ A force of 60 N did 420 J of work. How many metres did the object move?
- 19.🏋️ Pushing a crate 2 m took 640 J of work. What force was used, in newtons?
- 20.🏋️ A force of 360 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 370 N did 370 J of work. How many metres did the object move?
- 22.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 200 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 7 m took 1960 J of work. What force was used, in newtons?
- 25.🏋️ A force of 330 N did 990 J of work. How many metres did the object move?
- 26.🏋️ A force of 40 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 27.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) yes, by half (d) only on Mondays
- 28.🏋️ A force of 20 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 29.🏋️ 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?
- 30.🏋️ A force of 210 N did 1470 J of work. How many metres did the object move?
- 31.🏋️ Pushing a crate 4 m took 1200 J of work. What force was used, in newtons?
- 32.🏋️ A 2 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A force of 240 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 34.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ Pushing a crate 10 m took 4200 J of work. What force was used, in newtons?
- 36.🏋️ Pushing a crate 2 m took 300 J of work. What force was used, in newtons?
- 37.🏋️ Pushing a crate 2 m took 660 J of work. What force was used, in newtons?
- 38.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 39.🏋️ Pushing a crate 5 m took 350 J of work. What force was used, in newtons?
- 40.🏋️ A 14 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 40
- 150
- 960
- 300
- 130
- 240
- 8
- 210
- 400
- 110
- 700
- 5
- 280
- 90
- 5
- through a distance
- 3
- 7
- 320
- 1800
- 1
- 500
- 600
- 280
- 3
- 40
- no, work stays the same
- 140
- 30
- 7
- 300
- 60
- 1200
- 400
- 420
- 150
- 330
- 4
- 70
- 700
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