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 machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 2.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) only on Mondays (d) yes, always
- 3.🏋️ A force of 440 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 4.🏋️ A 3 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) more effort (d) the same effort
- 6.🏋️ A 20 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ A force of 100 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 8.🏋️ An 8 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 10.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A force of 120 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 100 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 100 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 14.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 15.🏋️ An 8 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A force of 290 N did 290 J of work. How many metres did the object move?
- 17.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) very slowly (d) only upwards
- 18.🏋️ Pushing a crate 9 m took 3330 J of work. What force was used, in newtons?
- 19.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 20.🏋️ Pushing a crate 3 m took 420 J of work. What force was used, in newtons?
- 21.🏋️ A force of 430 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 22.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 440 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 7 m took 1610 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 3 m took 1380 J of work. What force was used, in newtons?
- 26.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 27.🏋️ A force of 10 N did 70 J of work. How many metres did the object move?
- 28.🏋️ A force of 460 N did 4600 J of work. How many metres did the object move?
- 29.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 320 N did 2880 J of work. How many metres did the object move?
- 31.🏋️ Pushing a crate 8 m took 2080 J of work. What force was used, in newtons?
- 32.🏋️ A 19 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A force of 300 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 36.🏋️ Pushing a crate 1 m took 480 J of work. What force was used, in newtons?
- 37.🏋️ Pushing a crate 8 m took 1840 J of work. What force was used, in newtons?
- 38.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ Pushing a crate 3 m took 390 J of work. What force was used, in newtons?
- 40.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
Answer key
- 3
- no, work stays the same
- 3520
- 60
- less effort
- 800
- 200
- 400
- joule (J)
- 100
- 720
- 300
- 500
- 6
- 80
- 1
- through a distance
- 370
- 5
- 140
- 3440
- 100
- 2200
- 230
- 460
- 6
- 7
- 10
- 6
- 9
- 260
- 190
- 250
- 750
- 1800
- 480
- 230
- 700
- 130
- 5
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