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 290 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 2.🏋️ A force of 420 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 3.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) only on Mondays (d) no, work stays the same
- 4.🏋️ Pushing a crate 9 m took 1080 J of work. What force was used, in newtons?
- 5.🏋️ A force of 120 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 6.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A force of 100 N did 500 J of work. How many metres did the object move?
- 8.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 9.🏋️ A force of 210 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 10.🏋️ A force of 440 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 190 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 12.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 13.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) very slowly (d) only upwards
- 14.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 15.🏋️ A force of 150 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 16.🏋️ A machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 17.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 18.🏋️ Pushing a crate 2 m took 380 J of work. What force was used, in newtons?
- 19.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) less effort (d) no effort
- 20.🏋️ A force of 320 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 160 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 340 N did 2380 J of work. How many metres did the object move?
- 23.🏋️ A force of 350 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 1 m took 30 J of work. What force was used, in newtons?
- 25.🏋️ A force of 220 N did 1760 J of work. How many metres did the object move?
- 26.🏋️ A force of 460 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 27.🏋️ A 10 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) load ÷ effort (d) effort ÷ load
- 29.🏋️ A force of 120 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 30.🏋️ An 18 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 force of 120 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 32.🏋️ An 11 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A force of 150 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 34.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 35.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 36.🏋️ A force of 110 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 37.🏋️ Pushing a crate 1 m took 60 J of work. What force was used, in newtons?
- 38.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ Pushing a crate 7 m took 1540 J of work. What force was used, in newtons?
- 40.🏋️ A force of 160 N pushes a cart 3 m along the floor. How much work is done, in joules?
Answer key
- 290
- 420
- no, work stays the same
- 120
- 120
- 350
- 5
- 6
- 1680
- 1320
- 1710
- 2
- through a distance
- joule (J)
- 900
- 4
- 6
- 190
- less effort
- 640
- 1440
- 7
- 3500
- 30
- 8
- 2300
- 200
- load ÷ effort
- 1200
- 180
- 960
- 440
- 1500
- 5
- 2
- 880
- 60
- 40
- 220
- 480
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