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 430 N did 860 J of work. How many metres did the object move?
- 2.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) only upwards (d) through a distance
- 3.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 4.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 5.🏋️ 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?
- 6.🏋️ A force of 410 N did 2870 J of work. How many metres did the object move?
- 7.🏋️ Pushing a crate 8 m took 3840 J of work. What force was used, in newtons?
- 8.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ Pushing a crate 5 m took 650 J of work. What force was used, in newtons?
- 11.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ 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?
- 14.🏋️ Pushing a crate 8 m took 3440 J of work. What force was used, in newtons?
- 15.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A force of 250 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 420 N did 1260 J of work. How many metres did the object move?
- 18.🏋️ Pushing a crate 2 m took 600 J of work. What force was used, in newtons?
- 19.🏋️ A 13 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A force of 230 N did 920 J of work. How many metres did the object move?
- 21.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) no effort (d) more effort
- 22.🏋️ A force of 280 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 470 N did 4700 J of work. How many metres did the object move?
- 24.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 10 N did 30 J of work. How many metres did the object move?
- 26.🏋️ Pushing a crate 8 m took 3200 J of work. What force was used, in newtons?
- 27.🏋️ A force of 30 N did 300 J of work. How many metres did the object move?
- 28.🏋️ A force of 340 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 470 N did 4230 J of work. How many metres did the object move?
- 30.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A 14 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 33.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 70 N did 70 J of work. How many metres did the object move?
- 35.🏋️ 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)
- 36.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 37.🏋️ A 7 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A force of 70 N did 140 J of work. How many metres did the object move?
- 39.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 110 N did 770 J of work. How many metres did the object move?
Answer key
- 2
- through a distance
- joule (J)
- load ÷ effort
- 100
- 7
- 480
- 750
- 300
- 130
- 400
- 250
- 40
- 430
- 200
- 1000
- 3
- 300
- 520
- 4
- less effort
- 2520
- 10
- 6
- 3
- 400
- 10
- 2380
- 9
- 300
- 140
- 3
- 700
- 1
- 400
- 4
- 280
- 2
- 100
- 7
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