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 240 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 2.🏋️ A force of 390 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 3.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A force of 280 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 5.🏋️ Pushing a crate 2 m took 360 J of work. What force was used, in newtons?
- 6.🏋️ A force of 80 N did 640 J of work. How many metres did the object move?
- 7.🏋️ A force of 10 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 8.🏋️ Pushing a crate 7 m took 3150 J of work. What force was used, in newtons?
- 9.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) no, work stays the same (d) yes, by half
- 13.🏋️ A 4 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A force of 80 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 20 N did 40 J of work. How many metres did the object move?
- 17.🏋️ A force of 100 N did 400 J of work. How many metres did the object move?
- 18.🏋️ A force of 330 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 19.🏋️ A 17 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 20 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 10 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 22.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 23.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 24.🏋️ Pushing a crate 5 m took 850 J of work. What force was used, in newtons?
- 25.🏋️ A 15 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 330 N did 2970 J of work. How many metres did the object move?
- 28.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 29.🏋️ A force of 10 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 30.🏋️ Pushing a crate 9 m took 3780 J of work. What force was used, in newtons?
- 31.🏋️ A force of 430 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 32.🏋️ Pushing a crate 7 m took 420 J of work. What force was used, in newtons?
- 33.🏋️ A force of 460 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 34.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 110 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 36.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 37.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 38.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 10 N did 20 J of work. How many metres did the object move?
- 40.🏋️ A force of 70 N pushes a cart 10 m along the floor. How much work is done, in joules?
Answer key
- 1920
- 3510
- 400
- 2240
- 180
- 8
- 50
- 450
- 50
- 20
- 40
- no, work stays the same
- 200
- 800
- 3
- 2
- 4
- 2970
- 850
- 80
- 90
- load ÷ effort
- 4
- 170
- 750
- 300
- 9
- less effort
- 100
- 420
- 3870
- 60
- 1380
- 6
- 440
- joule (J)
- 3
- 550
- 2
- 700
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