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 300 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 2.🏋️ Pushing a crate 9 m took 1440 J of work. What force was used, in newtons?
- 3.🏋️ A force of 230 N did 1610 J of work. How many metres did the object move?
- 4.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) yes, always (d) no, work stays the same
- 6.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 7.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A force of 80 N did 720 J of work. How many metres did the object move?
- 9.🏋️ A force of 130 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 10.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) newton (N) (d) metre (m)
- 11.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 390 N did 1170 J of work. How many metres did the object move?
- 13.🏋️ A force of 160 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 14.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) more effort (d) no effort
- 15.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A 12 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A force of 160 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 18.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 19.🏋️ A 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A force of 150 N did 450 J of work. How many metres did the object move?
- 21.🏋️ A force of 30 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 60 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 23.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ Pushing a crate 8 m took 2400 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 7 m took 560 J of work. What force was used, in newtons?
- 26.🏋️ A force of 500 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 27.🏋️ A force of 30 N did 90 J of work. How many metres did the object move?
- 28.🏋️ Pushing a crate 5 m took 300 J of work. What force was used, in newtons?
- 29.🏋️ A force of 70 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 30.🏋️ 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)
- 31.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
- 33.🏋️ Pushing a crate 9 m took 2880 J of work. What force was used, in newtons?
- 34.🏋️ Pushing a crate 3 m took 900 J of work. What force was used, in newtons?
- 35.🏋️ A force of 130 N did 130 J of work. How many metres did the object move?
- 36.🏋️ A force of 290 N did 2610 J of work. How many metres did the object move?
- 37.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 38.🏋️ A force of 50 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 39.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 420 N did 2520 J of work. How many metres did the object move?
Answer key
- 2100
- 160
- 7
- 700
- no, work stays the same
- 4
- 900
- 9
- 780
- joule (J)
- 400
- 3
- 800
- less effort
- 170
- 480
- 1600
- 6
- 350
- 3
- 120
- 480
- 180
- 300
- 80
- 2500
- 3
- 60
- 70
- 400
- 100
- through a distance
- 320
- 300
- 1
- 9
- 6
- 50
- 3
- 6
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