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 150 N did 300 J of work. How many metres did the object move?
- 2.🏋️ Pushing a crate 7 m took 2030 J of work. What force was used, in newtons?
- 3.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A force of 480 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 80 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 6.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) very slowly (d) only upwards
- 7.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 8.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) metre (m) (d) newton (N)
- 9.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A force of 350 N did 1750 J of work. How many metres did the object move?
- 11.🏋️ A force of 260 N did 1300 J of work. How many metres did the object move?
- 12.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) less effort (d) no effort
- 13.🏋️ A 4 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A force of 480 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 15.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ 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?
- 17.🏋️ A force of 80 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 18.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 390 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 20.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A force of 420 N did 4200 J of work. How many metres did the object move?
- 22.🏋️ A force of 480 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 23.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3200 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ Pushing a crate 6 m took 300 J of work. What force was used, in newtons?
- 25.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 29.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 350 N did 700 J of work. How many metres did the object move?
- 31.🏋️ A force of 500 N did 1000 J of work. How many metres did the object move?
- 32.🏋️ 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
- 33.🏋️ A force of 140 N did 1120 J of work. How many metres did the object move?
- 34.🏋️ A 20 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 machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 36.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 37.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 80 N did 240 J of work. How many metres did the object move?
- 40.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
Answer key
- 2
- 290
- 700
- 960
- 240
- through a distance
- load ÷ effort
- joule (J)
- 100
- 5
- 5
- less effort
- 160
- 3360
- 180
- 40
- 400
- 2
- 3900
- 750
- 10
- 480
- 800
- 50
- 250
- 300
- 150
- 4
- 450
- 2
- 2
- no, work stays the same
- 8
- 200
- 3
- 4
- 850
- 200
- 3
- 3
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