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.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 2.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 3.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 4.🏋️ A 17 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A force of 20 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 6.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 7.🏋️ A force of 10 N did 80 J of work. How many metres did the object move?
- 8.🏋️ A force of 20 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 440 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 10.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ Pushing a crate 5 m took 2200 J of work. What force was used, in newtons?
- 12.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ Pushing a crate 7 m took 2590 J of work. What force was used, in newtons?
- 15.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 16.🏋️ Pushing a crate 8 m took 2720 J of work. What force was used, in newtons?
- 17.🏋️ A force of 280 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 18.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 370 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 20.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) load + effort (d) effort ÷ load
- 21.🏋️ 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?
- 22.🏋️ A force of 360 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 40 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 450 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 25.🏋️ Pushing a crate 8 m took 2080 J of work. What force was used, in newtons?
- 26.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ Pushing a crate 9 m took 4230 J of work. What force was used, in newtons?
- 28.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A force of 100 N did 400 J of work. How many metres did the object move?
- 30.🏋️ A force of 190 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 31.🏋️ A 17 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) no, work stays the same (d) yes, always
- 33.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 34.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A 10 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ 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?
- 37.🏋️ A force of 490 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 20 N did 100 J of work. How many metres did the object move?
- 39.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 40.🏋️ An 11 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
- through a distance
- 6
- joule (J)
- 510
- 20
- 2
- 8
- 160
- 2640
- 1000
- 440
- 300
- 800
- 370
- 5
- 340
- 840
- 450
- 1110
- load ÷ effort
- 520
- 1440
- 400
- 2250
- 260
- 350
- 470
- 1000
- 4
- 1520
- 680
- no, work stays the same
- less effort
- 600
- 200
- 650
- 3920
- 5
- 3
- 110
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