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.
NameDateTime takenScore ___ / 40
- 1.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) yes, always (d) no, work stays the same
- 2.🏋️ A force of 30 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 3.🏋️ A force of 70 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 270 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 40 N did 200 J of work. How many metres did the object move?
- 6.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 8.🏋️ A force of 200 N did 1400 J of work. How many metres did the object move?
- 9.🏋️ A force of 470 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 10.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 11.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A force of 360 N did 720 J of work. How many metres did the object move?
- 13.🏋️ A force of 330 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 440 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 16.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load × effort (d) load + effort
- 17.🏋️ Pushing a crate 7 m took 2730 J of work. What force was used, in newtons?
- 18.🏋️ A force of 170 N did 510 J of work. How many metres did the object move?
- 19.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 21.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2600 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ Pushing a crate 6 m took 2880 J of work. What force was used, in newtons?
- 23.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) less effort (d) more effort
- 24.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) watt hour (d) newton (N)
- 25.🏋️ Pushing a crate 8 m took 1040 J of work. What force was used, in newtons?
- 26.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 440 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 230 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 500 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 170 N did 1020 J of work. How many metres did the object move?
- 31.🏋️ A force of 10 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 32.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 270 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 34.🏋️ 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)
- 35.🏋️ A force of 100 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 36.🏋️ 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?
- 37.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A force of 390 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 39.🏋️ A 12 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
Answer key
- no, work stays the same
- 30
- 140
- 1890
- 5
- 80
- through a distance
- 7
- 2820
- 2
- 900
- 2
- 2970
- 4400
- 4
- load ÷ effort
- 390
- 3
- 750
- 6
- 650
- 480
- less effort
- joule (J)
- 130
- 250
- 3960
- 1380
- 2000
- 6
- 100
- 3
- 270
- 700
- 900
- 300
- 150
- 1560
- 480
- 3
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