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 400 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 2.🏋️ A 15 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ 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?
- 4.🏋️ A force of 200 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 5.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) very slowly (d) through a distance
- 6.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) less effort (d) the same effort
- 7.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Pushing a crate 7 m took 1680 J of work. What force was used, in newtons?
- 9.🏋️ A 13 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) newton (N) (d) watt hour
- 11.🏋️ A 17 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A force of 60 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 14.🏋️ A 12 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A force of 140 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 360 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 17.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ 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
- 19.🏋️ Pushing a crate 7 m took 2520 J of work. What force was used, in newtons?
- 20.🏋️ A force of 340 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 21.🏋️ Pushing a crate 7 m took 140 J of work. What force was used, in newtons?
- 22.🏋️ Pushing a crate 5 m took 800 J of work. What force was used, in newtons?
- 23.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 190 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 25.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 26.🏋️ A force of 20 N did 20 J of work. How many metres did the object move?
- 27.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 28.🏋️ A force of 430 N did 2580 J of work. How many metres did the object move?
- 29.🏋️ A force of 50 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 30.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 32.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 33.🏋️ Pushing a crate 5 m took 1300 J of work. What force was used, in newtons?
- 34.🏋️ A force of 480 N did 4320 J of work. How many metres did the object move?
- 35.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 140 N did 1400 J of work. How many metres did the object move?
- 38.🏋️ Pushing a crate 1 m took 330 J of work. What force was used, in newtons?
- 39.🏋️ A force of 210 N did 1260 J of work. How many metres did the object move?
- 40.🏋️ Pushing a crate 10 m took 100 J of work. What force was used, in newtons?
Answer key
- 2800
- 600
- 90
- 400
- through a distance
- less effort
- 550
- 240
- 390
- joule (J)
- 340
- 850
- 120
- 600
- 980
- 3600
- 250
- no, work stays the same
- 360
- 340
- 20
- 160
- 50
- 1710
- 6
- 1
- 3
- 6
- 400
- 900
- 6
- load ÷ effort
- 260
- 9
- 550
- 2
- 10
- 330
- 6
- 10
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