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 longer ramp to the same height needs … (a) more effort (b) no effort (c) less effort (d) the same effort
- 2.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 3.🏋️ A force of 430 N did 860 J of work. How many metres did the object move?
- 4.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 5.🏋️ A 17 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A force of 300 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 7.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A force of 110 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 460 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 10.🏋️ A force of 360 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 11.🏋️ A 1 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) only upwards (d) without moving it
- 13.🏋️ A force of 150 N did 1200 J of work. How many metres did the object move?
- 14.🏋️ A force of 400 N did 3600 J of work. How many metres did the object move?
- 15.🏋️ Pushing a crate 3 m took 60 J of work. What force was used, in newtons?
- 16.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 18.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 19.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A force of 250 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 460 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 22.🏋️ Pushing a crate 9 m took 1260 J of work. What force was used, in newtons?
- 23.🏋️ A 16 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ Pushing a crate 9 m took 3240 J of work. What force was used, in newtons?
- 25.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 26.🏋️ A 12 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ An 8 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ Pushing a crate 1 m took 230 J of work. What force was used, in newtons?
- 29.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 30.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A 14 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A force of 430 N did 2150 J of work. How many metres did the object move?
- 34.🏋️ A force of 460 N did 4600 J of work. How many metres did the object move?
- 35.🏋️ A force of 240 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 36.🏋️ A 1 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ Pushing a crate 9 m took 2700 J of work. What force was used, in newtons?
- 39.🏋️ A force of 440 N did 3520 J of work. How many metres did the object move?
- 40.🏋️ An 18 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- less effort
- 6
- 2
- 6
- 510
- 600
- 350
- 220
- 4140
- 720
- 30
- through a distance
- 8
- 9
- 20
- 550
- joule (J)
- 6
- 700
- 2250
- 460
- 140
- 480
- 360
- load ÷ effort
- 240
- 160
- 230
- 3
- 100
- 80
- 700
- 5
- 10
- 480
- 20
- 20
- 300
- 8
- 360
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