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 longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 2.🏋️ A force of 450 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 3.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load + effort (d) load × effort
- 5.🏋️ Pushing a crate 2 m took 280 J of work. What force was used, in newtons?
- 6.🏋️ An 18 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A force of 230 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 9.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) through a distance (d) only upwards
- 11.🏋️ Pushing a crate 2 m took 800 J of work. What force was used, in newtons?
- 12.🏋️ A force of 120 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 13.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 14.🏋️ Pushing a crate 1 m took 30 J of work. What force was used, in newtons?
- 15.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) metre (m) (d) newton (N)
- 16.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 450 N did 1350 J of work. How many metres did the object move?
- 18.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 210 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 20.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 21.🏋️ A force of 120 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 22.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ Pushing a crate 9 m took 3690 J of work. What force was used, in newtons?
- 24.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 25.🏋️ Pushing a crate 1 m took 450 J of work. What force was used, in newtons?
- 26.🏋️ A force of 350 N did 2800 J of work. How many metres did the object move?
- 27.🏋️ Pushing a crate 4 m took 1080 J of work. What force was used, in newtons?
- 28.🏋️ A force of 190 N did 760 J of work. How many metres did the object move?
- 29.🏋️ A force of 20 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 30.🏋️ A machine lifts a load of 400 N when you push with 100 N. What is its mechanical advantage (MA)?
- 31.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 20 N did 120 J of work. How many metres did the object move?
- 33.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 2 m took 900 J of work. What force was used, in newtons?
- 37.🏋️ 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?
- 38.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2600 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) yes, by half (d) no, work stays the same
Answer key
- less effort
- 900
- 150
- load ÷ effort
- 140
- 540
- 400
- 1610
- 40
- through a distance
- 400
- 360
- 4
- 30
- joule (J)
- 5
- 3
- 4
- 1470
- 2
- 840
- 70
- 410
- 2
- 450
- 8
- 270
- 4
- 200
- 4
- 3
- 6
- 600
- 800
- 6
- 450
- 60
- 900
- 650
- no, work stays the same
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