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 smooth ramp is 18 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A force of 30 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 3.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) yes, always (d) only on Mondays
- 4.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ 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?
- 6.🏋️ A force of 130 N did 130 J of work. How many metres did the object move?
- 7.🏋️ A machine lifts a load of 1000 N when you push with 200 N. What is its mechanical advantage (MA)?
- 8.🏋️ A force of 10 N did 90 J of work. How many metres did the object move?
- 9.🏋️ A force of 190 N did 1330 J of work. How many metres did the object move?
- 10.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 40 N did 200 J of work. How many metres did the object move?
- 12.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load + effort (d) load × effort
- 13.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) watt hour (d) newton (N)
- 14.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 15.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 16.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) only upwards (d) without moving it
- 17.🏋️ Pushing a crate 10 m took 3500 J of work. What force was used, in newtons?
- 18.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 90 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 20.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A force of 300 N did 2700 J of work. How many metres did the object move?
- 22.🏋️ A machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 23.🏋️ 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)
- 24.🏋️ A force of 150 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 25.🏋️ Pushing a crate 4 m took 1280 J of work. What force was used, in newtons?
- 26.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 27.🏋️ Pushing a crate 9 m took 1440 J of work. What force was used, in newtons?
- 28.🏋️ A 17 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ Pushing a crate 5 m took 1450 J of work. What force was used, in newtons?
- 30.🏋️ A force of 350 N did 3500 J of work. How many metres did the object move?
- 31.🏋️ A force of 10 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 32.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 33.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 90 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 35.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 460 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 37.🏋️ A 20 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A force of 70 N did 350 J of work. How many metres did the object move?
- 39.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) less effort (d) the same effort
- 40.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
Answer key
- 50
- 270
- no, work stays the same
- 550
- 120
- 1
- 5
- 9
- 7
- 6
- 5
- load ÷ effort
- joule (J)
- 6
- 4
- through a distance
- 350
- 5
- 90
- 240
- 9
- 4
- 250
- 600
- 320
- 2
- 160
- 680
- 290
- 10
- 20
- 5
- 950
- 540
- 700
- 2760
- 800
- 5
- less effort
- 5
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