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) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 2.🏋️ A 16 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load + effort (d) load × effort
- 4.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) the same effort (d) more effort
- 5.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 6.🏋️ A 4 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ A force of 290 N did 2610 J of work. How many metres did the object move?
- 8.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ 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)
- 10.🏋️ Pushing a crate 10 m took 3200 J of work. What force was used, in newtons?
- 11.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 12.🏋️ Pushing a crate 7 m took 700 J of work. What force was used, in newtons?
- 13.🏋️ A force of 410 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 14.🏋️ A 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A machine lifts a load of 600 N when you push with 150 N. What is its mechanical advantage (MA)?
- 16.🏋️ Pushing a crate 3 m took 1020 J of work. What force was used, in newtons?
- 17.🏋️ Pushing a crate 5 m took 650 J of work. What force was used, in newtons?
- 18.🏋️ A 6 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ Pushing a crate 8 m took 2240 J of work. What force was used, in newtons?
- 20.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A 10 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ Pushing a crate 3 m took 480 J of work. What force was used, in newtons?
- 24.🏋️ A force of 250 N did 500 J of work. How many metres did the object move?
- 25.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ Pushing a crate 8 m took 1760 J of work. What force was used, in newtons?
- 27.🏋️ A 12 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ Pushing a crate 3 m took 510 J of work. What force was used, in newtons?
- 29.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 450 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 31.🏋️ Pushing a crate 9 m took 3600 J of work. What force was used, in newtons?
- 32.🏋️ A machine lifts a load of 280 N when you push with 140 N. What is its mechanical advantage (MA)?
- 33.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 34.🏋️ 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)
- 35.🏋️ A force of 420 N did 2520 J of work. How many metres did the object move?
- 36.🏋️ A 5 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A force of 160 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 220 N did 880 J of work. How many metres did the object move?
- 39.🏋️ 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?
- 40.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
Answer key
- joule (J)
- 160
- load ÷ effort
- less effort
- through a distance
- 160
- 9
- 40
- 700
- 320
- 6
- 100
- 1230
- 60
- 4
- 340
- 130
- 180
- 280
- 250
- 200
- 600
- 160
- 2
- 150
- 220
- 480
- 170
- 450
- 2700
- 400
- 2
- 4
- 550
- 6
- 250
- 160
- 4
- 30
- 2
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