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 210 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 2.🏋️ A force of 310 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 3.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 4.🏋️ Pushing a crate 3 m took 90 J of work. What force was used, in newtons?
- 5.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 6.🏋️ Pushing a crate 2 m took 480 J of work. What force was used, in newtons?
- 7.🏋️ A force of 500 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 8.🏋️ A force of 230 N did 1610 J of work. How many metres did the object move?
- 9.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 440 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 30 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 12.🏋️ Pushing a crate 7 m took 1400 J of work. What force was used, in newtons?
- 13.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) no, work stays the same (d) yes, always
- 14.🏋️ Pushing a crate 3 m took 1230 J of work. What force was used, in newtons?
- 15.🏋️ A force of 280 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 16.🏋️ A 13 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 18.🏋️ A force of 150 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 19.🏋️ A 9 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A force of 490 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 21.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 22.🏋️ 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?
- 23.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 24.🏋️ A 7 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ Pushing a crate 1 m took 270 J of work. What force was used, in newtons?
- 27.🏋️ A force of 100 N did 800 J of work. How many metres did the object move?
- 28.🏋️ A 13 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.🏋️ Pushing a crate 8 m took 1600 J of work. What force was used, in newtons?
- 30.🏋️ Pushing a crate 2 m took 440 J of work. What force was used, in newtons?
- 31.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 32.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) less effort (d) the same effort
- 33.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 34.🏋️ Pushing a crate 4 m took 880 J of work. What force was used, in newtons?
- 35.🏋️ A force of 70 N did 630 J of work. How many metres did the object move?
- 36.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 37.🏋️ A machine lifts a load of 700 N when you push with 140 N. What is its mechanical advantage (MA)?
- 38.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 1680
- 2790
- 4
- 30
- 2
- 240
- 3500
- 7
- 6
- 3960
- 90
- 200
- no, work stays the same
- 410
- 560
- 260
- 3
- 1200
- 90
- 490
- 6
- 250
- joule (J)
- 280
- 350
- 270
- 8
- 390
- 200
- 220
- 4
- less effort
- through a distance
- 220
- 9
- 2
- 5
- 550
- 150
- 50
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