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 180 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 2.🏋️ Pushing a crate 7 m took 1680 J of work. What force was used, in newtons?
- 3.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) yes, by half (d) only on Mondays
- 4.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) load × effort (d) effort ÷ load
- 7.🏋️ 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)
- 8.🏋️ A force of 90 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 9.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 10.🏋️ A force of 380 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 11.🏋️ 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?
- 12.🏋️ An 8 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.🏋️ A force of 10 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 14.🏋️ 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?
- 15.🏋️ A force of 190 N did 190 J of work. How many metres did the object move?
- 16.🏋️ Pushing a crate 9 m took 3780 J of work. What force was used, in newtons?
- 17.🏋️ Pushing a crate 5 m took 1350 J of work. What force was used, in newtons?
- 18.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 19.🏋️ Pushing a crate 2 m took 700 J of work. What force was used, in newtons?
- 20.🏋️ A force of 480 N did 4800 J of work. How many metres did the object move?
- 21.🏋️ Pushing a crate 2 m took 980 J of work. What force was used, in newtons?
- 22.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 23.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 24.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 30 N did 30 J of work. How many metres did the object move?
- 26.🏋️ Pushing a crate 5 m took 950 J of work. What force was used, in newtons?
- 27.🏋️ A force of 60 N did 240 J of work. How many metres did the object move?
- 28.🏋️ A 14 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.🏋️ A 10 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ 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)
- 32.🏋️ Pushing a crate 9 m took 1170 J of work. What force was used, in newtons?
- 33.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 34.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) more effort (d) less effort
- 35.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 280 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 37.🏋️ Pushing a crate 3 m took 420 J of work. What force was used, in newtons?
- 38.🏋️ Pushing a crate 3 m took 780 J of work. What force was used, in newtons?
- 39.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 40.🏋️ Pushing a crate 4 m took 160 J of work. What force was used, in newtons?
Answer key
- 180
- 240
- no, work stays the same
- 50
- 120
- load ÷ effort
- 900
- 540
- joule (J)
- 1900
- 390
- 80
- 100
- 510
- 1
- 420
- 270
- 2
- 350
- 10
- 490
- 6
- through a distance
- 3
- 1
- 190
- 4
- 560
- 400
- 130
- 250
- 130
- 4
- less effort
- 800
- 2240
- 140
- 260
- 6
- 40
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