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 400 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 2.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 3.🏋️ 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)
- 4.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 5.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) more effort (d) no effort
- 6.🏋️ Pushing a crate 4 m took 1800 J of work. What force was used, in newtons?
- 7.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 8.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 160 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 11.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 12.🏋️ A 1 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 force of 100 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 14.🏋️ Pushing a crate 7 m took 2100 J of work. What force was used, in newtons?
- 15.🏋️ A 2 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 smooth ramp is 15 m long and rises 3 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A machine lifts a load of 600 N when you push with 150 N. What is its mechanical advantage (MA)?
- 18.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 330 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 50 N did 500 J of work. How many metres did the object move?
- 21.🏋️ A force of 60 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 220 N did 880 J of work. How many metres did the object move?
- 23.🏋️ A force of 290 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 340 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 25.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) only upwards (d) very slowly
- 26.🏋️ A force of 360 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 27.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) yes, always (d) no, work stays the same
- 28.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 29.🏋️ Pushing a crate 1 m took 270 J of work. What force was used, in newtons?
- 30.🏋️ A force of 390 N did 1170 J of work. How many metres did the object move?
- 31.🏋️ A force of 170 N did 340 J of work. How many metres did the object move?
- 32.🏋️ A force of 410 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 33.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
- 34.🏋️ A force of 350 N did 2100 J of work. How many metres did the object move?
- 35.🏋️ Pushing a crate 4 m took 960 J of work. What force was used, in newtons?
- 36.🏋️ A force of 30 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 160 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 38.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 39.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 390 N pushes a cart 8 m along the floor. How much work is done, in joules?
Answer key
- 2000
- load ÷ effort
- 200
- 4
- less effort
- 450
- 5
- 500
- 2
- 160
- 3
- 50
- 800
- 300
- 100
- 50
- 4
- 4
- 1650
- 10
- 540
- 4
- 2610
- 2380
- through a distance
- 2880
- no, work stays the same
- 2
- 270
- 3
- 2
- 2870
- joule (J)
- 6
- 240
- 90
- 1280
- 3
- 800
- 3120
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