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.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) joule (J) (d) watt hour
- 2.🏋️ Pushing a crate 2 m took 440 J of work. What force was used, in newtons?
- 3.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A force of 410 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 5.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) no, work stays the same (d) yes, by half
- 6.🏋️ Pushing a crate 5 m took 50 J of work. What force was used, in newtons?
- 7.🏋️ A force of 330 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 8.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) less effort (d) no effort
- 9.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 10.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) only upwards (d) without moving it
- 11.🏋️ A force of 10 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 12.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ 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?
- 14.🏋️ Pushing a crate 3 m took 270 J of work. What force was used, in newtons?
- 15.🏋️ A force of 250 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 16.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 5000 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A force of 30 N did 90 J of work. How many metres did the object move?
- 18.🏋️ Pushing a crate 9 m took 1980 J of work. What force was used, in newtons?
- 19.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 20.🏋️ Pushing a crate 7 m took 700 J of work. What force was used, in newtons?
- 21.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 40 N did 40 J of work. How many metres did the object move?
- 23.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 24.🏋️ A force of 40 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 460 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 26.🏋️ 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?
- 27.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ Pushing a crate 10 m took 4500 J of work. What force was used, in newtons?
- 29.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2600 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 20 N did 60 J of work. How many metres did the object move?
- 32.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ Pushing a crate 10 m took 3600 J of work. What force was used, in newtons?
- 34.🏋️ A force of 410 N did 410 J of work. How many metres did the object move?
- 35.🏋️ A force of 390 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 20 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 37.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 38.🏋️ A force of 70 N did 140 J of work. How many metres did the object move?
- 39.🏋️ A 12 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ Pushing a crate 1 m took 420 J of work. What force was used, in newtons?
Answer key
- joule (J)
- 220
- 500
- 1230
- no, work stays the same
- 10
- 660
- less effort
- 3
- through a distance
- 30
- 850
- 70
- 90
- 2000
- 1000
- 3
- 220
- 3
- 100
- 4
- 1
- 2
- 40
- 920
- 750
- 900
- 450
- 650
- 400
- 3
- 550
- 360
- 1
- 2730
- 180
- 2
- 2
- 240
- 420
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