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.🏋️ Pushing a crate 1 m took 410 J of work. What force was used, in newtons?
- 2.🏋️ Pushing a crate 6 m took 240 J of work. What force was used, in newtons?
- 3.🏋️ Pushing a crate 3 m took 690 J of work. What force was used, in newtons?
- 4.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ Pushing a crate 8 m took 160 J of work. What force was used, in newtons?
- 6.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 7.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) very slowly (d) without moving it
- 8.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) yes, by half (d) only on Mondays
- 9.🏋️ A force of 400 N did 800 J of work. How many metres did the object move?
- 10.🏋️ A force of 360 N did 720 J of work. How many metres did the object move?
- 11.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) no effort (d) the same effort
- 12.🏋️ Pushing a crate 3 m took 420 J of work. What force was used, in newtons?
- 13.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) joule (J) (d) watt hour
- 14.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 17.🏋️ Pushing a crate 7 m took 420 J of work. What force was used, in newtons?
- 18.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 220 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 270 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 110 N did 550 J of work. How many metres did the object move?
- 22.🏋️ A force of 430 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 310 N did 2480 J of work. How many metres did the object move?
- 24.🏋️ Pushing a crate 8 m took 800 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 9 m took 1530 J of work. What force was used, in newtons?
- 26.🏋️ 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?
- 27.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 200 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 29.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 500 N did 3000 J of work. How many metres did the object move?
- 32.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 33.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 300 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 80 N pushes a cart 9 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 1800 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A force of 80 N did 480 J of work. How many metres did the object move?
- 38.🏋️ Pushing a crate 3 m took 1410 J of work. What force was used, in newtons?
- 39.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ Pushing a crate 9 m took 2070 J of work. What force was used, in newtons?
Answer key
- 410
- 40
- 230
- 600
- 20
- 4
- through a distance
- no, work stays the same
- 2
- 2
- less effort
- 140
- joule (J)
- 800
- 50
- 6
- 60
- 300
- 1980
- 540
- 5
- 1290
- 8
- 100
- 170
- 240
- 500
- 800
- 250
- 850
- 6
- 6
- 3
- 1200
- 720
- 450
- 6
- 470
- 1000
- 230
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