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.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
- 2.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 3.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 80 N did 400 J of work. How many metres did the object move?
- 5.🏋️ A force of 310 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 6.🏋️ 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?
- 7.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 8.🏋️ A 3 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 210 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 440 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 12.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 13.🏋️ Pushing a crate 6 m took 2700 J of work. What force was used, in newtons?
- 14.🏋️ Pushing a crate 8 m took 1120 J of work. What force was used, in newtons?
- 15.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 16.🏋️ A force of 300 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 17.🏋️ Pushing a crate 6 m took 3000 J of work. What force was used, in newtons?
- 18.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 390 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 20.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A machine lifts a load of 650 N when you push with 130 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 470 N did 4700 J of work. How many metres did the object move?
- 23.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 26.🏋️ A force of 170 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 27.🏋️ Pushing a crate 4 m took 1480 J of work. What force was used, in newtons?
- 28.🏋️ A force of 120 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 29.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 450 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 31.🏋️ Pushing a crate 1 m took 150 J of work. What force was used, in newtons?
- 32.🏋️ A force of 340 N did 2380 J of work. How many metres did the object move?
- 33.🏋️ 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?
- 34.🏋️ A force of 140 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 35.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 110 N did 990 J of work. How many metres did the object move?
- 37.🏋️ Pushing a crate 8 m took 2400 J of work. What force was used, in newtons?
- 38.🏋️ A force of 80 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 39.🏋️ A force of 270 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 290 N did 1160 J of work. How many metres did the object move?
Answer key
- joule (J)
- through a distance
- 2
- 5
- 930
- 80
- no, work stays the same
- 150
- 2
- 1680
- 2640
- load ÷ effort
- 450
- 140
- less effort
- 3000
- 500
- 2
- 1170
- 250
- 5
- 10
- 450
- 950
- 2
- 510
- 370
- 1080
- 550
- 900
- 150
- 7
- 100
- 140
- 550
- 9
- 300
- 160
- 2430
- 4
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