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 machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 2.🏋️ 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?
- 3.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ Pushing a crate 10 m took 3600 J of work. What force was used, in newtons?
- 5.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 6.🏋️ A force of 110 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 7.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A force of 410 N did 1230 J of work. How many metres did the object move?
- 9.🏋️ A force of 500 N did 4000 J of work. How many metres did the object move?
- 10.🏋️ Pushing a crate 2 m took 240 J of work. What force was used, in newtons?
- 11.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) only on Mondays (d) no, work stays the same
- 13.🏋️ A force of 100 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 14.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) load + effort (d) effort ÷ load
- 15.🏋️ A 3 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ 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)
- 17.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) newton (N) (d) watt hour
- 18.🏋️ A force of 280 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 19.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) less effort (d) no effort
- 20.🏋️ A force of 150 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 21.🏋️ Pushing a crate 6 m took 2340 J of work. What force was used, in newtons?
- 22.🏋️ A force of 350 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 23.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ 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?
- 25.🏋️ A machine lifts a load of 700 N when you push with 140 N. What is its mechanical advantage (MA)?
- 26.🏋️ Pushing a crate 6 m took 360 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 8 m took 1040 J of work. What force was used, in newtons?
- 28.🏋️ A force of 370 N did 1110 J of work. How many metres did the object move?
- 29.🏋️ Pushing a crate 6 m took 3000 J of work. What force was used, in newtons?
- 30.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 31.🏋️ A force of 200 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 32.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) without moving it (d) only upwards
- 33.🏋️ A force of 10 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 34.🏋️ 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)
- 35.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 5 m took 2050 J of work. What force was used, in newtons?
- 37.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 38.🏋️ Pushing a crate 3 m took 360 J of work. What force was used, in newtons?
- 39.🏋️ Pushing a crate 6 m took 180 J of work. What force was used, in newtons?
- 40.🏋️ Pushing a crate 4 m took 1960 J of work. What force was used, in newtons?
Answer key
- 4
- 200
- 700
- 360
- 6
- 220
- 400
- 3
- 8
- 120
- 750
- no, work stays the same
- 700
- load ÷ effort
- 60
- 550
- joule (J)
- 1680
- less effort
- 150
- 390
- 2100
- 650
- 200
- 5
- 60
- 130
- 3
- 500
- 6
- 2000
- through a distance
- 80
- 750
- 3
- 410
- 5
- 120
- 30
- 490
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