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 70 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 2.🏋️ A force of 80 N did 320 J of work. How many metres did the object move?
- 3.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ Pushing a crate 7 m took 1120 J of work. What force was used, in newtons?
- 6.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
- 7.🏋️ Pushing a crate 1 m took 130 J of work. What force was used, in newtons?
- 8.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 9.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ Pushing a crate 10 m took 2700 J of work. What force was used, in newtons?
- 11.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 12.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) effort ÷ load (d) load × effort
- 13.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) metre (m) (d) watt hour
- 14.🏋️ A force of 160 N did 160 J of work. How many metres did the object move?
- 15.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A force of 360 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 17.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ Pushing a crate 3 m took 1230 J of work. What force was used, in newtons?
- 19.🏋️ A force of 40 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 20.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 21.🏋️ A 17 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.🏋️ A force of 270 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 250 N did 1500 J of work. How many metres did the object move?
- 24.🏋️ A force of 160 N did 480 J of work. How many metres did the object move?
- 25.🏋️ 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?
- 26.🏋️ A force of 100 N did 500 J of work. How many metres did the object move?
- 27.🏋️ A force of 70 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 28.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ Pushing a crate 10 m took 1600 J of work. What force was used, in newtons?
- 30.🏋️ Pushing a crate 1 m took 180 J of work. What force was used, in newtons?
- 31.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 470 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 33.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 34.🏋️ Pushing a crate 2 m took 640 J of work. What force was used, in newtons?
- 35.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) the same effort (d) no effort
- 36.🏋️ A force of 80 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 130 N did 910 J of work. How many metres did the object move?
- 38.🏋️ 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?
- 39.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 380 N pushes a cart 2 m along the floor. How much work is done, in joules?
Answer key
- 420
- 4
- 450
- 1000
- 160
- through a distance
- 130
- 4
- 250
- 270
- 6
- load ÷ effort
- joule (J)
- 1
- 950
- 3600
- 600
- 410
- 160
- 5
- 170
- 540
- 6
- 3
- 300
- 5
- 70
- 40
- 160
- 180
- 5
- 1880
- 4
- 320
- less effort
- 80
- 7
- 160
- 200
- 760
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