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 5 m along the floor. How much work is done, in joules?
- 2.🏋️ Pushing a crate 9 m took 1080 J of work. What force was used, in newtons?
- 3.🏋️ Pushing a crate 4 m took 1080 J of work. What force was used, in newtons?
- 4.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A machine lifts a load of 500 N when you push with 100 N. What is its mechanical advantage (MA)?
- 6.🏋️ A force of 440 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 7.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 10.🏋️ Pushing a crate 2 m took 180 J of work. What force was used, in newtons?
- 11.🏋️ A machine lifts a load of 600 N when you push with 100 N. What is its mechanical advantage (MA)?
- 12.🏋️ Pushing a crate 2 m took 500 J of work. What force was used, in newtons?
- 13.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 14.🏋️ Pushing a crate 2 m took 980 J of work. What force was used, in newtons?
- 15.🏋️ Pushing a crate 2 m took 900 J of work. What force was used, in newtons?
- 16.🏋️ Pushing a crate 4 m took 1200 J of work. What force was used, in newtons?
- 17.🏋️ Pushing a crate 3 m took 1170 J of work. What force was used, in newtons?
- 18.🏋️ Pushing a crate 1 m took 310 J of work. What force was used, in newtons?
- 19.🏋️ 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?
- 20.🏋️ Pushing a crate 6 m took 1260 J of work. What force was used, in newtons?
- 21.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 22.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) the same effort (d) less effort
- 23.🏋️ Pushing a crate 3 m took 1470 J of work. What force was used, in newtons?
- 24.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 25.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ Pushing a crate 9 m took 2970 J of work. What force was used, in newtons?
- 27.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A force of 160 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 29.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) without moving it (d) through a distance
- 30.🏋️ 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?
- 31.🏋️ A force of 270 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 32.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 34.🏋️ Pushing a crate 2 m took 880 J of work. What force was used, in newtons?
- 35.🏋️ A force of 90 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 36.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 38.🏋️ 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?
- 39.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 650
- 120
- 270
- 200
- 5
- 3080
- 1000
- 800
- load ÷ effort
- 90
- 6
- 250
- 4
- 490
- 450
- 300
- 390
- 310
- 80
- 210
- no, work stays the same
- less effort
- 490
- joule (J)
- 50
- 330
- 10
- 800
- through a distance
- 200
- 270
- 700
- 4
- 440
- 90
- 1000
- 6
- 150
- 1000
- 600
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