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 machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 2.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) through a distance (d) very slowly
- 4.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) metre (m) (d) watt hour
- 5.🏋️ Pushing a crate 1 m took 210 J of work. What force was used, in newtons?
- 6.🏋️ A force of 190 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 280 N did 2240 J of work. How many metres did the object move?
- 8.🏋️ A 19 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 15 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ Pushing a crate 1 m took 350 J of work. What force was used, in newtons?
- 11.🏋️ Pushing a crate 7 m took 1960 J of work. What force was used, in newtons?
- 12.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 140 N did 840 J of work. How many metres did the object move?
- 14.🏋️ A force of 80 N did 240 J of work. How many metres did the object move?
- 15.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A force of 500 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 1 m took 280 J of work. What force was used, in newtons?
- 19.🏋️ A force of 400 N did 1200 J of work. How many metres did the object move?
- 20.🏋️ Pushing a crate 6 m took 1980 J of work. What force was used, in newtons?
- 21.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ Pushing a crate 6 m took 1680 J of work. What force was used, in newtons?
- 23.🏋️ An 8 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A 6 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ Pushing a crate 2 m took 180 J of work. What force was used, in newtons?
- 26.🏋️ A force of 290 N did 2030 J of work. How many metres did the object move?
- 27.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 28.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 30.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 32.🏋️ 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?
- 33.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 34.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 230 N did 2070 J of work. How many metres did the object move?
- 36.🏋️ A force of 330 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 30 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 38.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ Pushing a crate 6 m took 780 J of work. What force was used, in newtons?
- 40.🏋️ A force of 130 N pushes a cart 8 m along the floor. How much work is done, in joules?
Answer key
- 4
- 100
- through a distance
- joule (J)
- 210
- 380
- 8
- 380
- 750
- 350
- 280
- 2
- 6
- 3
- 450
- 150
- 4500
- 280
- 3
- 330
- 70
- 280
- 400
- 300
- 90
- 7
- load ÷ effort
- 150
- 5
- 50
- 3
- 40
- 2
- 3
- 9
- 330
- 240
- 550
- 130
- 1040
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