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.
NameDateTime takenScore ___ / 40
- 1.🏋️ Pushing a crate 2 m took 280 J of work. What force was used, in newtons?
- 2.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ A force of 450 N did 1800 J of work. How many metres did the object move?
- 4.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 5.🏋️ A force of 330 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 6.🏋️ Pushing a crate 4 m took 960 J of work. What force was used, in newtons?
- 7.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) joule (J) (d) watt hour
- 8.🏋️ A force of 200 N did 1400 J of work. How many metres did the object move?
- 9.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A force of 250 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 11.🏋️ 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
- 12.🏋️ A force of 240 N did 2400 J of work. How many metres did the object move?
- 13.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 14.🏋️ A 14 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A force of 450 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 150 N did 150 J of work. How many metres did the object move?
- 17.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A force of 500 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 19.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) through a distance (d) only upwards
- 20.🏋️ A force of 440 N did 440 J of work. How many metres did the object move?
- 21.🏋️ A force of 490 N did 490 J of work. How many metres did the object move?
- 22.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 23.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 26.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 27.🏋️ A force of 370 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 28.🏋️ Pushing a crate 1 m took 480 J of work. What force was used, in newtons?
- 29.🏋️ A force of 290 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 30.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) more effort (d) no effort
- 31.🏋️ Pushing a crate 10 m took 2900 J of work. What force was used, in newtons?
- 32.🏋️ Pushing a crate 10 m took 800 J of work. What force was used, in newtons?
- 33.🏋️ A force of 160 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 3 m took 330 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 1 m took 80 J of work. What force was used, in newtons?
- 36.🏋️ A force of 400 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 37.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 90 N did 720 J of work. How many metres did the object move?
Answer key
- 140
- 20
- 4
- 2
- 660
- 240
- joule (J)
- 7
- 550
- 2000
- no, work stays the same
- 10
- 6
- 140
- 2250
- 1
- 500
- 500
- through a distance
- 1
- 1
- load ÷ effort
- 200
- 950
- 4
- 4
- 1110
- 480
- 580
- less effort
- 290
- 80
- 1440
- 110
- 80
- 2400
- 1000
- 500
- 6
- 8
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