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 4 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) more effort (d) no effort
- 3.🏋️ A force of 350 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 260 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 5.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 8.🏋️ Pushing a crate 1 m took 400 J of work. What force was used, in newtons?
- 9.🏋️ Pushing a crate 3 m took 750 J of work. What force was used, in newtons?
- 10.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) effort ÷ load (d) load + effort
- 11.🏋️ A force of 260 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 12.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 14.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A 17 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A force of 50 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 18.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4750 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A 1 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.🏋️ A force of 20 N did 120 J of work. How many metres did the object move?
- 21.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 350 N did 350 J of work. How many metres did the object move?
- 23.🏋️ Pushing a crate 9 m took 180 J of work. What force was used, in newtons?
- 24.🏋️ A force of 140 N did 1260 J of work. How many metres did the object move?
- 25.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ Pushing a crate 8 m took 4000 J of work. What force was used, in newtons?
- 27.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 210 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 29.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 5000 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ 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?
- 33.🏋️ 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)
- 34.🏋️ Pushing a crate 8 m took 3840 J of work. What force was used, in newtons?
- 35.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 410 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 360 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 38.🏋️ Pushing a crate 10 m took 4000 J of work. What force was used, in newtons?
- 39.🏋️ An 11 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 200
- less effort
- 3150
- 260
- 750
- 850
- joule (J)
- 400
- 250
- load ÷ effort
- 2340
- 450
- through a distance
- 850
- 300
- 680
- 350
- 950
- 50
- 6
- 3
- 1
- 20
- 9
- 150
- 500
- 550
- 2100
- 400
- 700
- 1000
- 90
- 800
- 480
- 850
- 2460
- 360
- 400
- 110
- 200
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