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 12 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) yes, always (d) only on Mondays
- 3.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A 14 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ Pushing a crate 2 m took 540 J of work. What force was used, in newtons?
- 6.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 7.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 8.🏋️ An 11 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ Pushing a crate 1 m took 140 J of work. What force was used, in newtons?
- 10.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 11.🏋️ A 15 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A force of 50 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 13.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) joule (J) (d) newton (N)
- 14.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) through a distance (d) only upwards
- 15.🏋️ Pushing a crate 1 m took 280 J of work. What force was used, in newtons?
- 16.🏋️ A force of 30 N did 60 J of work. How many metres did the object move?
- 17.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A force of 40 N did 320 J of work. How many metres did the object move?
- 19.🏋️ Pushing a crate 5 m took 600 J of work. What force was used, in newtons?
- 20.🏋️ A force of 90 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 21.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) more effort (d) less effort
- 22.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 170 N did 510 J of work. How many metres did the object move?
- 24.🏋️ A 12 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 320 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 27.🏋️ An 8 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A force of 70 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 280 N did 840 J of work. How many metres did the object move?
- 30.🏋️ Pushing a crate 1 m took 200 J of work. What force was used, in newtons?
- 31.🏋️ A force of 230 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 130 N did 650 J of work. How many metres did the object move?
- 33.🏋️ Pushing a crate 4 m took 240 J of work. What force was used, in newtons?
- 34.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 36.🏋️ A force of 70 N did 560 J of work. How many metres did the object move?
- 37.🏋️ Pushing a crate 7 m took 2800 J of work. What force was used, in newtons?
- 38.🏋️ A force of 230 N did 920 J of work. How many metres did the object move?
- 39.🏋️ Pushing a crate 3 m took 1500 J of work. What force was used, in newtons?
- 40.🏋️ 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?
Answer key
- 360
- no, work stays the same
- 850
- 420
- 270
- 5
- 3
- 110
- 140
- 3
- 600
- 100
- joule (J)
- through a distance
- 280
- 2
- 200
- 8
- 120
- 540
- less effort
- 300
- 3
- 120
- 50
- 960
- 80
- 210
- 3
- 200
- 1840
- 5
- 60
- 350
- 3
- 8
- 400
- 4
- 500
- 100
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