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.
NameDateTime takenScore ___ / 40
- 1.🏋️ A force of 120 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 2.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 3.🏋️ A force of 300 N did 900 J of work. How many metres did the object move?
- 4.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ Pushing a crate 8 m took 2640 J of work. What force was used, in newtons?
- 6.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A force of 330 N did 3300 J of work. How many metres did the object move?
- 8.🏋️ A force of 420 N did 3780 J of work. How many metres did the object move?
- 9.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 10.🏋️ A force of 150 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 370 N did 1110 J of work. How many metres did the object move?
- 12.🏋️ A 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A force of 70 N did 140 J of work. How many metres did the object move?
- 15.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 16.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 17.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) no effort (d) more effort
- 18.🏋️ A force of 420 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 450 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 20.🏋️ Pushing a crate 3 m took 1320 J of work. What force was used, in newtons?
- 21.🏋️ Pushing a crate 9 m took 2610 J of work. What force was used, in newtons?
- 22.🏋️ A force of 500 N did 5000 J of work. How many metres did the object move?
- 23.🏋️ Pushing a crate 8 m took 2240 J of work. What force was used, in newtons?
- 24.🏋️ A force of 140 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 25.🏋️ Pushing a crate 2 m took 820 J of work. What force was used, in newtons?
- 26.🏋️ A force of 140 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 27.🏋️ Pushing a crate 7 m took 2520 J of work. What force was used, in newtons?
- 28.🏋️ A force of 120 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 29.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load × effort (d) load + effort
- 30.🏋️ Pushing a crate 9 m took 990 J of work. What force was used, in newtons?
- 31.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A force of 190 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 200 N did 400 J of work. How many metres did the object move?
- 35.🏋️ A force of 70 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 80 N did 720 J of work. How many metres did the object move?
- 37.🏋️ A 15 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 machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 50 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 40.🏋️ A machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
Answer key
- 480
- 6
- 3
- 450
- 330
- 900
- 10
- 9
- through a distance
- 1200
- 3
- 200
- 900
- 2
- 6
- joule (J)
- less effort
- 1260
- 450
- 440
- 290
- 10
- 280
- 980
- 410
- 1120
- 360
- 240
- load ÷ effort
- 110
- 700
- 550
- 1330
- 2
- 630
- 9
- 600
- 5
- 100
- 5
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