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 smooth ramp is 8 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ Pushing a crate 6 m took 2460 J of work. What force was used, in newtons?
- 3.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 4.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) less effort (d) no effort
- 5.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 6.🏋️ A force of 50 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 7.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 9.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load × effort (d) load + effort
- 10.🏋️ A force of 200 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 11.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 12.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 13.🏋️ Pushing a crate 2 m took 240 J of work. What force was used, in newtons?
- 14.🏋️ Pushing a crate 9 m took 360 J of work. What force was used, in newtons?
- 15.🏋️ Pushing a crate 2 m took 280 J of work. What force was used, in newtons?
- 16.🏋️ A force of 150 N did 750 J of work. How many metres did the object move?
- 17.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 18.🏋️ A force of 290 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 19.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) only on Mondays (d) yes, by half
- 20.🏋️ Pushing a crate 4 m took 240 J of work. What force was used, in newtons?
- 21.🏋️ Pushing a crate 6 m took 1620 J of work. What force was used, in newtons?
- 22.🏋️ A force of 150 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 23.🏋️ 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)
- 24.🏋️ A force of 440 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 25.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 420 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 27.🏋️ A force of 90 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 320 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 29.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 30.🏋️ Pushing a crate 10 m took 300 J of work. What force was used, in newtons?
- 31.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 50 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 33.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A 2 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ Pushing a crate 3 m took 600 J of work. What force was used, in newtons?
- 37.🏋️ A 3 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 390 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 39.🏋️ A force of 310 N did 930 J of work. How many metres did the object move?
- 40.🏋️ A 15 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 50
- 410
- 2
- less effort
- through a distance
- 300
- 650
- 3
- load ÷ effort
- 1600
- 5
- joule (J)
- 120
- 40
- 140
- 5
- 2
- 580
- no, work stays the same
- 60
- 270
- 1050
- 200
- 440
- 400
- 2940
- 450
- 1600
- 4
- 30
- 5
- 200
- 500
- 250
- 100
- 200
- 90
- 390
- 3
- 450
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