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.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 2.🏋️ Pushing a crate 4 m took 1920 J of work. What force was used, in newtons?
- 3.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A force of 210 N did 1680 J of work. How many metres did the object move?
- 6.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 8.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Pushing a crate 9 m took 540 J of work. What force was used, in newtons?
- 10.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) only on Mondays (d) no, work stays the same
- 11.🏋️ A force of 170 N did 1190 J of work. How many metres did the object move?
- 12.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A force of 240 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 14.🏋️ Pushing a crate 8 m took 1440 J of work. What force was used, in newtons?
- 15.🏋️ Pushing a crate 2 m took 580 J of work. What force was used, in newtons?
- 16.🏋️ A force of 20 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 17.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) only upwards (d) without moving it
- 18.🏋️ A force of 260 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 19.🏋️ Pushing a crate 8 m took 80 J of work. What force was used, in newtons?
- 20.🏋️ A force of 120 N did 240 J of work. How many metres did the object move?
- 21.🏋️ A force of 180 N did 1260 J of work. How many metres did the object move?
- 22.🏋️ 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?
- 23.🏋️ A force of 300 N did 300 J of work. How many metres did the object move?
- 24.🏋️ A force of 190 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 25.🏋️ Pushing a crate 2 m took 300 J of work. What force was used, in newtons?
- 26.🏋️ A force of 150 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 27.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A force of 480 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 30.🏋️ Pushing a crate 10 m took 1200 J of work. What force was used, in newtons?
- 31.🏋️ A force of 320 N did 960 J of work. How many metres did the object move?
- 32.🏋️ Pushing a crate 2 m took 540 J of work. What force was used, in newtons?
- 33.🏋️ A force of 370 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 1 m took 80 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 4 m took 480 J of work. What force was used, in newtons?
- 36.🏋️ Pushing a crate 1 m took 160 J of work. What force was used, in newtons?
- 37.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 38.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 39.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A 2 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
- joule (J)
- 480
- 750
- 850
- 8
- 20
- load ÷ effort
- 400
- 60
- no, work stays the same
- 7
- 450
- 480
- 180
- 290
- 140
- through a distance
- 520
- 10
- 2
- 7
- 40
- 1
- 380
- 150
- 1050
- 600
- 600
- 1920
- 120
- 3
- 270
- 1850
- 80
- 120
- 160
- 3
- 4
- 500
- 100
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