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 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 2.🏋️ A 15 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) less effort (d) the same effort
- 5.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load ÷ effort (d) load × effort
- 6.🏋️ Pushing a crate 3 m took 60 J of work. What force was used, in newtons?
- 7.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) metre (m) (d) newton (N)
- 8.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) through a distance (d) very slowly
- 9.🏋️ A force of 430 N did 430 J of work. How many metres did the object move?
- 10.🏋️ A force of 70 N did 70 J of work. How many metres did the object move?
- 11.🏋️ A force of 280 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 400 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 200 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 14.🏋️ 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
- 15.🏋️ A force of 220 N did 1320 J of work. How many metres did the object move?
- 16.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ Pushing a crate 2 m took 540 J of work. What force was used, in newtons?
- 19.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A 20 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A force of 140 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 22.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 480 N did 3360 J of work. How many metres did the object move?
- 24.🏋️ A force of 200 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 10 N did 70 J of work. How many metres did the object move?
- 26.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 130 N did 520 J of work. How many metres did the object move?
- 28.🏋️ A force of 70 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 410 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 60 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 31.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A force of 400 N did 3200 J of work. How many metres did the object move?
- 34.🏋️ Pushing a crate 4 m took 880 J of work. What force was used, in newtons?
- 35.🏋️ A 7 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ Pushing a crate 6 m took 2400 J of work. What force was used, in newtons?
- 37.🏋️ Pushing a crate 1 m took 140 J of work. What force was used, in newtons?
- 38.🏋️ A force of 130 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 39.🏋️ A machine lifts a load of 600 N when you push with 150 N. What is its mechanical advantage (MA)?
- 40.🏋️ A 15 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 3
- 750
- 50
- less effort
- load ÷ effort
- 20
- joule (J)
- through a distance
- 1
- 1
- 1680
- 3600
- 1400
- no, work stays the same
- 6
- 100
- 120
- 270
- 550
- 400
- 980
- 4
- 7
- 800
- 7
- 150
- 4
- 350
- 820
- 480
- 400
- 800
- 8
- 220
- 140
- 400
- 140
- 1300
- 4
- 450
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