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) watt hour (b) newton (N) (c) metre (m) (d) joule (J)
- 2.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 3.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 4.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ Pushing a crate 1 m took 350 J of work. What force was used, in newtons?
- 6.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ A force of 80 N did 640 J of work. How many metres did the object move?
- 8.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 10.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 11.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ Pushing a crate 7 m took 770 J of work. What force was used, in newtons?
- 13.🏋️ Pushing a crate 3 m took 960 J of work. What force was used, in newtons?
- 14.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ Pushing a crate 5 m took 650 J of work. What force was used, in newtons?
- 16.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A force of 490 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 19.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A force of 120 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 21.🏋️ A 16 kg box is lifted straight up by 2 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 smooth ramp is 12 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 490 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 300 N did 600 J of work. How many metres did the object move?
- 26.🏋️ A 20 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 110 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 28.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) more effort (d) the same effort
- 29.🏋️ A force of 460 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 30.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 31.🏋️ A force of 140 N did 980 J of work. How many metres did the object move?
- 32.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 34.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 330 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 130 N did 390 J of work. How many metres did the object move?
- 37.🏋️ A force of 230 N did 920 J of work. How many metres did the object move?
- 38.🏋️ Pushing a crate 7 m took 210 J of work. What force was used, in newtons?
- 39.🏋️ A force of 330 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 40.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) only on Mondays (d) yes, by half
Answer key
- joule (J)
- 3
- 3
- 50
- 350
- 100
- 8
- 100
- through a distance
- 6
- 40
- 110
- 320
- 250
- 130
- 550
- 800
- 4900
- 40
- 1080
- 320
- 6
- 500
- 980
- 2
- 400
- 770
- less effort
- 1840
- 2
- 7
- 760
- 2
- 5
- 1320
- 3
- 4
- 30
- 330
- no, work stays the same
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