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 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?
- 2.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 3.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) yes, by half (d) only on Mondays
- 4.🏋️ A force of 180 N did 720 J of work. How many metres did the object move?
- 5.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 6.🏋️ A 12 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 14 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A force of 120 N did 1200 J of work. How many metres did the object move?
- 9.🏋️ A force of 100 N did 600 J of work. How many metres did the object move?
- 10.🏋️ Pushing a crate 2 m took 760 J of work. What force was used, in newtons?
- 11.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 12.🏋️ Pushing a crate 2 m took 980 J of work. What force was used, in newtons?
- 13.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 15.🏋️ A force of 430 N did 3010 J of work. How many metres did the object move?
- 16.🏋️ A 14 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ Pushing a crate 3 m took 510 J of work. What force was used, in newtons?
- 18.🏋️ Pushing a crate 3 m took 900 J of work. What force was used, in newtons?
- 19.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) without moving it (d) very slowly
- 20.🏋️ A force of 410 N did 2460 J of work. How many metres did the object move?
- 21.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) less effort (d) more effort
- 23.🏋️ An 11 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 25.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 60 N did 540 J of work. How many metres did the object move?
- 27.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ Pushing a crate 6 m took 1020 J of work. What force was used, in newtons?
- 29.🏋️ A force of 300 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 30.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A 17 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ 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)
- 34.🏋️ A force of 110 N did 770 J of work. How many metres did the object move?
- 35.🏋️ A force of 500 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 36.🏋️ Pushing a crate 2 m took 920 J of work. What force was used, in newtons?
- 37.🏋️ A force of 200 N did 200 J of work. How many metres did the object move?
- 38.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 40 N did 200 J of work. How many metres did the object move?
- 40.🏋️ A force of 120 N pushes a cart 2 m along the floor. How much work is done, in joules?
Answer key
- 600
- 2
- no, work stays the same
- 4
- 4
- 240
- 280
- 10
- 6
- 380
- joule (J)
- 490
- 950
- load ÷ effort
- 7
- 700
- 170
- 300
- through a distance
- 6
- 700
- less effort
- 330
- 4
- 250
- 9
- 800
- 170
- 1200
- 20
- 250
- 850
- 850
- 7
- 3500
- 460
- 1
- 6
- 5
- 240
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