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 290 N did 1740 J of work. How many metres did the object move?
- 2.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 3.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 4.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 6.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1750 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 8.🏋️ A force of 210 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 9.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) the same effort (d) no effort
- 10.🏋️ Pushing a crate 6 m took 1620 J of work. What force was used, in newtons?
- 11.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 12.🏋️ A force of 150 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 13.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 14.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 15.🏋️ A 10 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ Pushing a crate 9 m took 2250 J of work. What force was used, in newtons?
- 18.🏋️ A force of 200 N did 600 J of work. How many metres did the object move?
- 19.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 20.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 21.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 180 N did 1440 J of work. How many metres did the object move?
- 24.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) only on Mondays (d) no, work stays the same
- 25.🏋️ Pushing a crate 8 m took 1600 J of work. What force was used, in newtons?
- 26.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) load × effort (d) effort ÷ load
- 27.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 28.🏋️ A 7 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A force of 350 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 30.🏋️ Pushing a crate 10 m took 300 J of work. What force was used, in newtons?
- 31.🏋️ A force of 100 N did 600 J of work. How many metres did the object move?
- 32.🏋️ Pushing a crate 8 m took 3760 J of work. What force was used, in newtons?
- 33.🏋️ A force of 170 N did 1020 J of work. How many metres did the object move?
- 34.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A force of 110 N did 880 J of work. How many metres did the object move?
- 36.🏋️ Pushing a crate 5 m took 250 J of work. What force was used, in newtons?
- 37.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 38.🏋️ A force of 60 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 39.🏋️ A 10 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.🏋️ A 2 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
- 6
- joule (J)
- 2
- 300
- 4
- 350
- through a distance
- 2100
- less effort
- 270
- 2
- 1500
- 2
- 4
- 500
- 60
- 250
- 3
- 6
- 2
- 80
- 6
- 8
- no, work stays the same
- 200
- load ÷ effort
- 2
- 280
- 1050
- 30
- 6
- 470
- 6
- 200
- 8
- 50
- 6
- 60
- 200
- 60
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