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 390 N did 3510 J of work. How many metres did the object move?
- 2.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 3.🏋️ A force of 240 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 340 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 5.🏋️ 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)
- 6.🏋️ A force of 110 N did 880 J of work. How many metres did the object move?
- 7.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
- 8.🏋️ A force of 180 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 9.🏋️ Pushing a crate 8 m took 3360 J of work. What force was used, in newtons?
- 10.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ An 8 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 15.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A force of 490 N did 980 J of work. How many metres did the object move?
- 17.🏋️ Pushing a crate 5 m took 50 J of work. What force was used, in newtons?
- 18.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 200 N did 600 J of work. How many metres did the object move?
- 20.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 21.🏋️ A force of 360 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 22.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 330 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 90 N did 630 J of work. How many metres did the object move?
- 25.🏋️ A 4 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load ÷ effort (d) load × effort
- 27.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 28.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 29.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 31.🏋️ A force of 500 N did 1500 J of work. How many metres did the object move?
- 32.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) newton (N) (d) metre (m)
- 34.🏋️ Pushing a crate 3 m took 1110 J of work. What force was used, in newtons?
- 35.🏋️ A force of 50 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 36.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 110 N did 440 J of work. How many metres did the object move?
- 38.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 210 N did 1680 J of work. How many metres did the object move?
- 40.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
Answer key
- 9
- through a distance
- 480
- 2720
- 200
- 8
- less effort
- 1800
- 420
- 550
- 160
- 450
- 350
- no, work stays the same
- 400
- 2
- 10
- 300
- 3
- 2
- 1080
- 400
- 2640
- 7
- 160
- load ÷ effort
- 4
- 6
- 800
- 6
- 3
- 80
- joule (J)
- 370
- 350
- 3
- 4
- 900
- 8
- 6
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