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.🏋️ Pushing a crate 6 m took 1800 J of work. What force was used, in newtons?
- 2.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) load × effort (d) effort ÷ load
- 3.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A force of 60 N did 420 J of work. How many metres did the object move?
- 5.🏋️ Pushing a crate 7 m took 560 J of work. What force was used, in newtons?
- 6.🏋️ A machine lifts a load of 600 N when you push with 150 N. What is its mechanical advantage (MA)?
- 7.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) very slowly (d) without moving it
- 9.🏋️ 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?
- 10.🏋️ A 16 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A force of 180 N did 540 J of work. How many metres did the object move?
- 12.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 430 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 14.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 16.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 18.🏋️ A 7 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A 12 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A force of 310 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 21.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) yes, by half (d) no, work stays the same
- 22.🏋️ A 9 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ Pushing a crate 4 m took 2000 J of work. What force was used, in newtons?
- 24.🏋️ Pushing a crate 2 m took 540 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 1 m took 420 J of work. What force was used, in newtons?
- 26.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 27.🏋️ A force of 110 N did 330 J of work. How many metres did the object move?
- 28.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) more effort (d) the same effort
- 29.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 220 N did 220 J of work. How many metres did the object move?
- 31.🏋️ A force of 470 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 70 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 90 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 1 m took 40 J of work. What force was used, in newtons?
- 35.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 6 m took 660 J of work. What force was used, in newtons?
- 37.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 280 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 40.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
Answer key
- 300
- load ÷ effort
- 150
- 7
- 80
- 4
- 200
- through a distance
- 30
- 640
- 3
- 3
- 1290
- 300
- 5
- 950
- 4
- 140
- 600
- 930
- no, work stays the same
- 90
- 500
- 270
- 420
- joule (J)
- 3
- less effort
- 450
- 1
- 470
- 350
- 270
- 40
- 6
- 110
- 550
- 700
- 2800
- 6
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