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.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 2.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) newton (N) (d) watt hour
- 4.🏋️ A force of 100 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 5.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 6.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ Pushing a crate 5 m took 750 J of work. What force was used, in newtons?
- 8.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A force of 40 N did 40 J of work. How many metres did the object move?
- 10.🏋️ Pushing a crate 3 m took 270 J of work. What force was used, in newtons?
- 11.🏋️ A force of 100 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 12.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 14.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 15.🏋️ A 9 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ Pushing a crate 3 m took 330 J of work. What force was used, in newtons?
- 17.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 210 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 20.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 21.🏋️ A force of 190 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 22.🏋️ A 6 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ 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?
- 24.🏋️ A force of 170 N did 1190 J of work. How many metres did the object move?
- 25.🏋️ A force of 440 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 26.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 27.🏋️ 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?
- 28.🏋️ A force of 300 N did 1800 J of work. How many metres did the object move?
- 29.🏋️ A force of 480 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 30.🏋️ A 2 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A force of 440 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 32.🏋️ Pushing a crate 1 m took 150 J of work. What force was used, in newtons?
- 33.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 34.🏋️ Pushing a crate 10 m took 3000 J of work. What force was used, in newtons?
- 35.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 340 N did 3060 J of work. How many metres did the object move?
- 37.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A force of 200 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 2 m took 360 J of work. What force was used, in newtons?
- 40.🏋️ A 9 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- no, work stays the same
- 600
- joule (J)
- 100
- 6
- 200
- 150
- 130
- 1
- 90
- 800
- 450
- through a distance
- 3
- 270
- 110
- 300
- 350
- 840
- 3
- 1520
- 300
- 150
- 7
- 3080
- 2
- 140
- 6
- 960
- 60
- 440
- 150
- 4
- 300
- 400
- 9
- 950
- 800
- 180
- 360
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