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 270 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 2.🏋️ Pushing a crate 3 m took 60 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 1900 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ Pushing a crate 5 m took 2100 J of work. What force was used, in newtons?
- 5.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A 4 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ A force of 270 N did 2430 J of work. How many metres did the object move?
- 8.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) only upwards (d) through a distance
- 9.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A force of 160 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 380 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 12.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 13.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) no effort (d) the same effort
- 14.🏋️ Pushing a crate 4 m took 2000 J of work. What force was used, in newtons?
- 15.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 16.🏋️ A 1 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A force of 330 N did 2310 J of work. How many metres did the object move?
- 18.🏋️ 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)
- 19.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 20.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 21.🏋️ Pushing a crate 3 m took 120 J of work. What force was used, in newtons?
- 22.🏋️ A force of 320 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 23.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 24.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ 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
- 26.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ Pushing a crate 2 m took 880 J of work. What force was used, in newtons?
- 28.🏋️ A force of 100 N did 100 J of work. How many metres did the object move?
- 29.🏋️ A force of 440 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 290 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 200 N did 1200 J of work. How many metres did the object move?
- 32.🏋️ A force of 240 N did 1920 J of work. How many metres did the object move?
- 33.🏋️ A 16 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ Pushing a crate 2 m took 500 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 10 m took 2700 J of work. What force was used, in newtons?
- 36.🏋️ A force of 200 N did 1400 J of work. How many metres did the object move?
- 37.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 38.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 360 N did 720 J of work. How many metres did the object move?
- 40.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
Answer key
- 540
- 20
- 950
- 420
- 550
- 200
- 9
- through a distance
- 300
- 960
- 3420
- joule (J)
- less effort
- 500
- 4
- 20
- 7
- 150
- 2
- 6
- 40
- 1920
- 2
- 450
- no, work stays the same
- 50
- 440
- 1
- 2640
- 2900
- 6
- 8
- 160
- 250
- 270
- 7
- 3
- 5
- 2
- load ÷ effort
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