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 180 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 2.🏋️ A force of 250 N did 1250 J of work. How many metres did the object move?
- 3.🏋️ A 14 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 5.🏋️ A force of 390 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 6.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 7.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 8.🏋️ A force of 20 N did 80 J of work. How many metres did the object move?
- 9.🏋️ 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
- 10.🏋️ A 14 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ Pushing a crate 9 m took 270 J of work. What force was used, in newtons?
- 12.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A force of 30 N did 180 J of work. How many metres did the object move?
- 14.🏋️ A force of 450 N did 2700 J of work. How many metres did the object move?
- 15.🏋️ A force of 370 N did 370 J of work. How many metres did the object move?
- 16.🏋️ 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?
- 17.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 18.🏋️ Pushing a crate 10 m took 1900 J of work. What force was used, in newtons?
- 19.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 21.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 22.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 23.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) very slowly (d) only upwards
- 25.🏋️ A force of 190 N did 1330 J of work. How many metres did the object move?
- 26.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 27.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ Pushing a crate 10 m took 1800 J of work. What force was used, in newtons?
- 29.🏋️ A force of 290 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 470 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 31.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 160 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 33.🏋️ A 14 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ 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?
- 35.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 36.🏋️ A force of 330 N did 1320 J of work. How many metres did the object move?
- 37.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ Pushing a crate 7 m took 210 J of work. What force was used, in newtons?
- 39.🏋️ Pushing a crate 4 m took 1720 J of work. What force was used, in newtons?
- 40.🏋️ A force of 340 N pushes a cart 8 m along the floor. How much work is done, in joules?
Answer key
- 540
- 5
- 420
- 6
- 390
- joule (J)
- less effort
- 4
- no, work stays the same
- 700
- 30
- 100
- 6
- 6
- 1
- 200
- 6
- 190
- 850
- 2
- 3
- 4
- 300
- through a distance
- 7
- 6
- 10
- 180
- 290
- 1880
- 450
- 160
- 560
- 40
- load ÷ effort
- 4
- 550
- 30
- 430
- 2720
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