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.🏋️ 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
- 2.🏋️ Pushing a crate 4 m took 440 J of work. What force was used, in newtons?
- 3.🏋️ A force of 290 N did 580 J of work. How many metres did the object move?
- 4.🏋️ A force of 300 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 5.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A force of 500 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 8.🏋️ Pushing a crate 7 m took 3150 J of work. What force was used, in newtons?
- 9.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 10.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 11.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ Pushing a crate 3 m took 1110 J of work. What force was used, in newtons?
- 13.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) load ÷ effort (d) effort ÷ load
- 14.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) only upwards (d) through a distance
- 15.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 16.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 18.🏋️ A force of 330 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 19.🏋️ A 6 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.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 21.🏋️ Pushing a crate 6 m took 540 J of work. What force was used, in newtons?
- 22.🏋️ Pushing a crate 10 m took 100 J of work. What force was used, in newtons?
- 23.🏋️ 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?
- 24.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 25.🏋️ A 19 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A force of 290 N did 1740 J of work. How many metres did the object move?
- 27.🏋️ Pushing a crate 1 m took 310 J of work. What force was used, in newtons?
- 28.🏋️ A machine lifts a load of 700 N when you push with 140 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 100 N did 500 J of work. How many metres did the object move?
- 30.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) more effort (d) less effort
- 31.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 500 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 370 N did 1850 J of work. How many metres did the object move?
- 34.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 35.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 1 m took 340 J of work. What force was used, in newtons?
- 37.🏋️ A force of 320 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 38.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 410 N did 410 J of work. How many metres did the object move?
- 40.🏋️ A force of 90 N did 720 J of work. How many metres did the object move?
Answer key
- no, work stays the same
- 110
- 2
- 2100
- 550
- 250
- 3000
- 450
- 5
- 2
- 450
- 370
- load ÷ effort
- through a distance
- 3
- 850
- 2
- 2640
- 60
- joule (J)
- 90
- 10
- 160
- 6
- 380
- 6
- 310
- 5
- 5
- less effort
- 2
- 3500
- 5
- 5
- 3
- 340
- 2880
- 50
- 1
- 8
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