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 4 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A force of 140 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 3.🏋️ A force of 320 N did 1280 J of work. How many metres did the object move?
- 4.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 5.🏋️ A 5 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ Pushing a crate 7 m took 2100 J of work. What force was used, in newtons?
- 7.🏋️ A force of 370 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 8.🏋️ Pushing a crate 10 m took 400 J of work. What force was used, in newtons?
- 9.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A force of 490 N did 490 J of work. How many metres did the object move?
- 11.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 12.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) no effort (d) the same effort
- 13.🏋️ Pushing a crate 3 m took 720 J of work. What force was used, in newtons?
- 14.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) very slowly (d) without moving it
- 15.🏋️ Pushing a crate 8 m took 2400 J of work. What force was used, in newtons?
- 16.🏋️ Pushing a crate 2 m took 600 J of work. What force was used, in newtons?
- 17.🏋️ Pushing a crate 6 m took 2820 J of work. What force was used, in newtons?
- 18.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, always (d) yes, by half
- 19.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ Pushing a crate 1 m took 450 J of work. What force was used, in newtons?
- 21.🏋️ A force of 420 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 260 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 23.🏋️ Pushing a crate 2 m took 320 J of work. What force was used, in newtons?
- 24.🏋️ A force of 80 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 25.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 26.🏋️ A force of 130 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 27.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 28.🏋️ A force of 360 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 190 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 470 N did 2820 J of work. How many metres did the object move?
- 31.🏋️ A force of 280 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 32.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 33.🏋️ A force of 450 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 7 m took 2450 J of work. What force was used, in newtons?
- 35.🏋️ A force of 500 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 36.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) effort ÷ load (d) load ÷ effort
- 39.🏋️ 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?
- 40.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
Answer key
- 500
- 840
- 4
- 6
- 200
- 300
- 1480
- 40
- 100
- 1
- 3
- less effort
- 240
- through a distance
- 300
- 300
- 470
- no, work stays the same
- 150
- 450
- 3360
- 780
- 160
- 640
- 3
- 260
- 4
- 720
- 190
- 6
- 1400
- joule (J)
- 1800
- 350
- 3500
- 50
- 950
- load ÷ effort
- 400
- 2
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