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 10 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 2.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) watt hour (d) metre (m)
- 3.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 4.🏋️ 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?
- 5.🏋️ A 14 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A force of 80 N did 640 J of work. How many metres did the object move?
- 7.🏋️ Pushing a crate 9 m took 2340 J of work. What force was used, in newtons?
- 8.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) yes, always (d) no, work stays the same
- 9.🏋️ Pushing a crate 2 m took 80 J of work. What force was used, in newtons?
- 10.🏋️ Pushing a crate 4 m took 1040 J of work. What force was used, in newtons?
- 11.🏋️ A force of 100 N did 900 J of work. How many metres did the object move?
- 12.🏋️ Pushing a crate 9 m took 3510 J of work. What force was used, in newtons?
- 13.🏋️ A force of 160 N did 1120 J of work. How many metres did the object move?
- 14.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3200 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 310 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 16.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 350 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 7 m took 2730 J of work. What force was used, in newtons?
- 19.🏋️ Pushing a crate 3 m took 150 J of work. What force was used, in newtons?
- 20.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 21.🏋️ A force of 380 N did 760 J of work. How many metres did the object move?
- 22.🏋️ 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?
- 23.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 460 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 27.🏋️ Pushing a crate 10 m took 1400 J of work. What force was used, in newtons?
- 28.🏋️ A force of 360 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 30 N did 90 J of work. How many metres did the object move?
- 30.🏋️ A force of 210 N did 840 J of work. How many metres did the object move?
- 31.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 32.🏋️ Pushing a crate 2 m took 860 J of work. What force was used, in newtons?
- 33.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ Pushing a crate 5 m took 2450 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 2 m took 960 J of work. What force was used, in newtons?
- 36.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 37.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 38.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 39.🏋️ 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?
- 40.🏋️ A 15 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 50
- joule (J)
- 6
- 50
- 280
- 8
- 260
- no, work stays the same
- 40
- 260
- 9
- 390
- 7
- 800
- 620
- 6
- 350
- 390
- 50
- 3
- 2
- 30
- 900
- 50
- 400
- 4140
- 140
- 2520
- 3
- 4
- through a distance
- 430
- 40
- 490
- 480
- 4
- 6
- 2
- 150
- 600
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