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 force of 470 N did 1410 J of work. How many metres did the object move?
- 2.🏋️ A force of 370 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 3.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) through a distance (d) only upwards
- 4.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 5.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) only on Mondays (d) yes, by half
- 6.🏋️ Pushing a crate 10 m took 1800 J of work. What force was used, in newtons?
- 7.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A force of 30 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 9.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A 19 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 12.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 14.🏋️ A force of 340 N did 1700 J of work. How many metres did the object move?
- 15.🏋️ 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)
- 16.🏋️ A force of 250 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 17.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) no effort (d) the same effort
- 18.🏋️ A force of 430 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 480 N did 2400 J of work. How many metres did the object move?
- 20.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ Pushing a crate 1 m took 470 J of work. What force was used, in newtons?
- 23.🏋️ A 16 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A force of 130 N did 1300 J of work. How many metres did the object move?
- 25.🏋️ A force of 180 N did 900 J of work. How many metres did the object move?
- 26.🏋️ An 11 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ Pushing a crate 2 m took 180 J of work. What force was used, in newtons?
- 28.🏋️ A force of 150 N did 300 J of work. How many metres did the object move?
- 29.🏋️ A force of 130 N did 130 J of work. How many metres did the object move?
- 30.🏋️ A force of 380 N did 3420 J of work. How many metres did the object move?
- 31.🏋️ Pushing a crate 9 m took 2160 J of work. What force was used, in newtons?
- 32.🏋️ A force of 350 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 90 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 2 m took 1000 J of work. What force was used, in newtons?
- 35.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 10 m took 4000 J of work. What force was used, in newtons?
- 37.🏋️ A force of 120 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 250 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 39.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) load + effort (d) effort ÷ load
- 40.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 3
- 740
- through a distance
- 5
- no, work stays the same
- 180
- 550
- 240
- 150
- 950
- 3
- 150
- joule (J)
- 5
- 550
- 2500
- less effort
- 1290
- 5
- 200
- 1000
- 470
- 320
- 10
- 5
- 440
- 90
- 2
- 1
- 9
- 240
- 2100
- 720
- 500
- 4
- 400
- 120
- 500
- load ÷ effort
- 50
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