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.🏋️ 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?
- 2.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A 20 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 force of 200 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 240 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 6.🏋️ A force of 40 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 410 N did 3280 J of work. How many metres did the object move?
- 8.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A force of 20 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 10.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A force of 60 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 12.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 13.🏋️ A force of 120 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 470 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 15.🏋️ Pushing a crate 7 m took 420 J of work. What force was used, in newtons?
- 16.🏋️ A force of 250 N did 1500 J of work. How many metres did the object move?
- 17.🏋️ Pushing a crate 2 m took 140 J of work. What force was used, in newtons?
- 18.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 19.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 270 N did 2700 J of work. How many metres did the object move?
- 21.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 340 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 23.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load × effort (d) load + effort
- 24.🏋️ A force of 80 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 25.🏋️ A 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 27.🏋️ A force of 60 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 180 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 29.🏋️ A machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
- 30.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) only on Mondays (d) yes, by half
- 31.🏋️ A force of 330 N did 2970 J of work. How many metres did the object move?
- 32.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 260 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 34.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) the same effort (d) no effort
- 35.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ Pushing a crate 9 m took 3060 J of work. What force was used, in newtons?
- 37.🏋️ 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?
- 38.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) watt hour (d) newton (N)
- 39.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 90
- 950
- 600
- 800
- 720
- 280
- 8
- 700
- 80
- 300
- 240
- through a distance
- 240
- 940
- 60
- 6
- 70
- 6
- 6
- 10
- 2
- 3060
- load ÷ effort
- 800
- 240
- 3
- 480
- 900
- 5
- no, work stays the same
- 9
- 5
- 260
- less effort
- 50
- 340
- 390
- joule (J)
- 1000
- 300
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