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.🏋️ Pushing a crate 1 m took 20 J of work. What force was used, in newtons?
- 2.🏋️ A force of 450 N did 1350 J of work. How many metres did the object move?
- 3.🏋️ Pushing a crate 1 m took 330 J of work. What force was used, in newtons?
- 4.🏋️ A machine lifts a load of 350 N when you push with 70 N. What is its mechanical advantage (MA)?
- 5.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) less effort (d) no effort
- 6.🏋️ 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?
- 7.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 8.🏋️ Pushing a crate 9 m took 4140 J of work. What force was used, in newtons?
- 9.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 10.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) without moving it (d) through a distance
- 11.🏋️ A 4 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ Pushing a crate 4 m took 1400 J of work. What force was used, in newtons?
- 13.🏋️ A force of 170 N did 1530 J of work. How many metres did the object move?
- 14.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A 14 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A 16 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A force of 30 N did 300 J of work. How many metres did the object move?
- 20.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) no, work stays the same (d) yes, by half
- 21.🏋️ 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)
- 22.🏋️ A force of 70 N did 630 J of work. How many metres did the object move?
- 23.🏋️ A force of 180 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 24.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 25.🏋️ Pushing a crate 8 m took 1680 J of work. What force was used, in newtons?
- 26.🏋️ Pushing a crate 6 m took 1020 J of work. What force was used, in newtons?
- 27.🏋️ A force of 90 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 270 N did 1890 J of work. How many metres did the object move?
- 29.🏋️ A force of 300 N did 900 J of work. How many metres did the object move?
- 30.🏋️ A machine lifts a load of 280 N when you push with 140 N. What is its mechanical advantage (MA)?
- 31.🏋️ 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?
- 32.🏋️ 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?
- 33.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 250 N did 500 J of work. How many metres did the object move?
- 35.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 36.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ 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?
- 38.🏋️ A force of 40 N did 280 J of work. How many metres did the object move?
- 39.🏋️ A force of 10 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 40.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 20
- 3
- 330
- 5
- less effort
- 20
- 3
- 460
- joule (J)
- through a distance
- 200
- 350
- 9
- 850
- 200
- 140
- 750
- 160
- 10
- no, work stays the same
- 350
- 9
- 720
- 6
- 210
- 170
- 810
- 7
- 3
- 2
- 300
- 170
- 3
- 2
- 3
- 500
- 480
- 7
- 70
- 500
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