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 260 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 2.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ A force of 190 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 500 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 5.🏋️ 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?
- 6.🏋️ Pushing a crate 9 m took 3330 J of work. What force was used, in newtons?
- 7.🏋️ A force of 370 N did 3330 J of work. How many metres did the object move?
- 8.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A force of 70 N did 630 J of work. How many metres did the object move?
- 10.🏋️ 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?
- 11.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ 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
- 13.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 10 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 15.🏋️ Pushing a crate 7 m took 2590 J of work. What force was used, in newtons?
- 16.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 17.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) very slowly (d) only upwards
- 18.🏋️ A force of 470 N did 1410 J of work. How many metres did the object move?
- 19.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 400 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 21.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 23.🏋️ Pushing a crate 1 m took 90 J of work. What force was used, in newtons?
- 24.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load × effort (d) load + effort
- 25.🏋️ A force of 80 N did 480 J of work. How many metres did the object move?
- 26.🏋️ A force of 120 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 27.🏋️ A force of 490 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 28.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 420 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 420 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 31.🏋️ Pushing a crate 4 m took 1560 J of work. What force was used, in newtons?
- 32.🏋️ A force of 400 N did 2800 J of work. How many metres did the object move?
- 33.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 380 N did 3800 J of work. How many metres did the object move?
- 35.🏋️ A force of 170 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 36.🏋️ 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?
- 37.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) the same effort (d) less effort
- 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 smooth ramp is 4 m long and rises 1 m. What effort pushes a 2600 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 260
- 120
- 570
- 2000
- 400
- 370
- 9
- 400
- 9
- 190
- 700
- no, work stays the same
- 650
- 60
- 370
- joule (J)
- through a distance
- 3
- 2
- 4000
- 800
- 2
- 90
- load ÷ effort
- 6
- 480
- 980
- 4
- 1260
- 3780
- 390
- 7
- 6
- 10
- 170
- 90
- 250
- less effort
- 480
- 650
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