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.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 2.🏋️ A force of 30 N did 30 J of work. How many metres did the object move?
- 3.🏋️ A force of 100 N did 700 J of work. How many metres did the object move?
- 4.🏋️ A force of 310 N did 3100 J of work. How many metres did the object move?
- 5.🏋️ Pushing a crate 7 m took 280 J of work. What force was used, in newtons?
- 6.🏋️ A force of 460 N did 2760 J of work. How many metres did the object move?
- 7.🏋️ 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?
- 8.🏋️ Pushing a crate 4 m took 1520 J of work. What force was used, in newtons?
- 9.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 10.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 11.🏋️ Pushing a crate 7 m took 3500 J of work. What force was used, in newtons?
- 12.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A force of 350 N did 3500 J of work. How many metres did the object move?
- 14.🏋️ Pushing a crate 8 m took 2560 J of work. What force was used, in newtons?
- 15.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A force of 130 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 17.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A force of 210 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 480 N did 1440 J of work. How many metres did the object move?
- 20.🏋️ A 2 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A 12 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 smooth ramp is 10 m long and rises 2 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ Pushing a crate 5 m took 600 J of work. What force was used, in newtons?
- 24.🏋️ An 11 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 force of 230 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 26.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 29.🏋️ Pushing a crate 5 m took 400 J of work. What force was used, in newtons?
- 30.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 31.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, always (d) yes, by half
- 32.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 34.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) less effort (d) more effort
- 35.🏋️ Pushing a crate 1 m took 190 J of work. What force was used, in newtons?
- 36.🏋️ A force of 80 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 120 N did 240 J of work. How many metres did the object move?
- 38.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 39.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 40.🏋️ A 5 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- joule (J)
- 1
- 7
- 10
- 40
- 6
- 390
- 380
- 3
- 2
- 500
- 150
- 10
- 320
- 500
- 390
- 50
- 1890
- 3
- 60
- 120
- 550
- 120
- 440
- 1150
- 100
- 450
- 5
- 80
- 2
- no, work stays the same
- 200
- 2
- less effort
- 190
- 720
- 2
- 4
- through a distance
- 200
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