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 4 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A force of 150 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 3.🏋️ A force of 320 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 4.🏋️ Pushing a crate 3 m took 750 J of work. What force was used, in newtons?
- 5.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) only upwards (d) very slowly
- 6.🏋️ Pushing a crate 9 m took 3150 J of work. What force was used, in newtons?
- 7.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) metre (m) (d) newton (N)
- 9.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 10.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) no effort (d) the same effort
- 11.🏋️ Pushing a crate 7 m took 210 J of work. What force was used, in newtons?
- 12.🏋️ A force of 310 N did 1860 J of work. How many metres did the object move?
- 13.🏋️ Pushing a crate 7 m took 1610 J of work. What force was used, in newtons?
- 14.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load + effort (d) load × effort
- 15.🏋️ A force of 310 N did 3100 J of work. How many metres did the object move?
- 16.🏋️ Pushing a crate 7 m took 2100 J of work. What force was used, in newtons?
- 17.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A 13 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) only on Mondays (d) yes, always
- 20.🏋️ 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?
- 21.🏋️ A 17 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 130 N did 130 J of work. How many metres did the object move?
- 24.🏋️ A machine lifts a load of 480 N when you push with 120 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 10 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 26.🏋️ 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?
- 27.🏋️ A 5 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A 19 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ Pushing a crate 1 m took 210 J of work. What force was used, in newtons?
- 31.🏋️ A force of 50 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 32.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ Pushing a crate 8 m took 2160 J of work. What force was used, in newtons?
- 34.🏋️ A force of 130 N did 780 J of work. How many metres did the object move?
- 35.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A 14 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A 16 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ Pushing a crate 10 m took 1000 J of work. What force was used, in newtons?
- 40.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
Answer key
- 900
- 450
- 3200
- 250
- through a distance
- 350
- 100
- joule (J)
- 6
- less effort
- 30
- 6
- 230
- load ÷ effort
- 10
- 300
- 700
- 650
- no, work stays the same
- 160
- 340
- 3
- 1
- 4
- 10
- 450
- 250
- 550
- 190
- 210
- 50
- 100
- 270
- 6
- 500
- 140
- 800
- 500
- 100
- 3
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