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.
NameDateTime takenScore ___ / 40
- 1.🏋️ Pushing a crate 3 m took 300 J of work. What force was used, in newtons?
- 2.🏋️ A force of 30 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 3.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A force of 110 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 5.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) newton (N) (d) metre (m)
- 7.🏋️ Pushing a crate 9 m took 360 J of work. What force was used, in newtons?
- 8.🏋️ Pushing a crate 9 m took 720 J of work. What force was used, in newtons?
- 9.🏋️ Pushing a crate 8 m took 1680 J of work. What force was used, in newtons?
- 10.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 11.🏋️ Pushing a crate 3 m took 660 J of work. What force was used, in newtons?
- 12.🏋️ A force of 240 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 300 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 430 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 15.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 17.🏋️ A machine lifts a load of 700 N when you push with 140 N. What is its mechanical advantage (MA)?
- 18.🏋️ A force of 110 N did 220 J of work. How many metres did the object move?
- 19.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 20.🏋️ Pushing a crate 8 m took 880 J of work. What force was used, in newtons?
- 21.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 22.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) no effort (d) more effort
- 23.🏋️ Pushing a crate 2 m took 360 J of work. What force was used, in newtons?
- 24.🏋️ A force of 340 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 25.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 26.🏋️ Pushing a crate 2 m took 440 J of work. What force was used, in newtons?
- 27.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 28.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ 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
- 30.🏋️ A 14 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 32.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A 13 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ Pushing a crate 3 m took 1350 J of work. What force was used, in newtons?
- 37.🏋️ Pushing a crate 8 m took 960 J of work. What force was used, in newtons?
- 38.🏋️ A machine lifts a load of 500 N when you push with 100 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 130 N did 910 J of work. How many metres did the object move?
- 40.🏋️ 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)
Answer key
- 100
- 120
- 250
- 880
- 1000
- joule (J)
- 40
- 80
- 210
- through a distance
- 220
- 480
- 1800
- 2150
- 950
- 5
- 5
- 2
- 6
- 110
- 2
- less effort
- 180
- 340
- load ÷ effort
- 220
- 6
- 80
- no, work stays the same
- 280
- 4
- 150
- 760
- 120
- 520
- 450
- 120
- 5
- 7
- 550
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