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 smooth ramp is 12 m long and rises 2 m. What effort pushes a 5400 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ Pushing a crate 7 m took 3500 J of work. What force was used, in newtons?
- 3.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) yes, always (d) only on Mondays
- 4.🏋️ A force of 260 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 5.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) no effort (d) the same effort
- 6.🏋️ Pushing a crate 5 m took 100 J of work. What force was used, in newtons?
- 7.🏋️ A force of 100 N did 800 J of work. How many metres did the object move?
- 8.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
- 9.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 10.🏋️ A 9 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ 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)
- 12.🏋️ A force of 220 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 13.🏋️ Pushing a crate 4 m took 360 J of work. What force was used, in newtons?
- 14.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 15.🏋️ Pushing a crate 6 m took 1500 J of work. What force was used, in newtons?
- 16.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 17.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 18.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 19.🏋️ Pushing a crate 1 m took 450 J of work. What force was used, in newtons?
- 20.🏋️ A force of 40 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 21.🏋️ 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?
- 22.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 24.🏋️ A force of 90 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 25.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) effort ÷ load (d) load ÷ effort
- 26.🏋️ Pushing a crate 7 m took 1330 J of work. What force was used, in newtons?
- 27.🏋️ A force of 320 N did 1920 J of work. How many metres did the object move?
- 28.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 190 N did 380 J of work. How many metres did the object move?
- 30.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 31.🏋️ Pushing a crate 8 m took 640 J of work. What force was used, in newtons?
- 32.🏋️ A force of 140 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 160 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 34.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 370 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 310 N did 2480 J of work. How many metres did the object move?
- 37.🏋️ Pushing a crate 8 m took 1280 J of work. What force was used, in newtons?
- 38.🏋️ A 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ Pushing a crate 10 m took 300 J of work. What force was used, in newtons?
- 40.🏋️ A 1 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 900
- 500
- no, work stays the same
- 780
- less effort
- 20
- 8
- through a distance
- 5
- 270
- 900
- 660
- 90
- 3
- 250
- 3
- joule (J)
- 6
- 450
- 320
- 160
- 50
- 3
- 270
- load ÷ effort
- 190
- 6
- 2
- 2
- 4
- 80
- 140
- 160
- 6
- 740
- 8
- 160
- 240
- 30
- 30
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