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 machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 2.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, by half (d) yes, always
- 5.🏋️ A force of 500 N did 4500 J of work. How many metres did the object move?
- 6.🏋️ Pushing a crate 4 m took 1800 J of work. What force was used, in newtons?
- 7.🏋️ A 3 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A force of 370 N did 2960 J of work. How many metres did the object move?
- 10.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) metre (m) (d) joule (J)
- 11.🏋️ 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?
- 12.🏋️ A force of 440 N did 440 J of work. How many metres did the object move?
- 13.🏋️ 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?
- 14.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) through a distance (d) very slowly
- 15.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) no effort (d) more effort
- 17.🏋️ A force of 150 N did 900 J of work. How many metres did the object move?
- 18.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1750 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) load + effort (d) effort ÷ load
- 20.🏋️ Pushing a crate 8 m took 560 J of work. What force was used, in newtons?
- 21.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 170 N did 1700 J of work. How many metres did the object move?
- 23.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ Pushing a crate 8 m took 1760 J of work. What force was used, in newtons?
- 26.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 450 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 28.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 29.🏋️ 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?
- 30.🏋️ A force of 260 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 31.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 32.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 360 N did 720 J of work. How many metres did the object move?
- 34.🏋️ A 9 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A 4 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 force of 60 N did 480 J of work. How many metres did the object move?
- 38.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 290 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 70 N did 420 J of work. How many metres did the object move?
Answer key
- 2
- 900
- 950
- no, work stays the same
- 9
- 450
- 60
- 600
- 8
- joule (J)
- 60
- 1
- 160
- through a distance
- 1000
- less effort
- 6
- 350
- load ÷ effort
- 70
- 4
- 10
- 400
- 170
- 220
- 300
- 4500
- 5
- 110
- 2080
- 6
- 6
- 2
- 90
- 150
- 40
- 8
- 950
- 2610
- 6
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