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.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) very slowly (d) through a distance
- 2.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A force of 270 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 5.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) yes, always (d) only on Mondays
- 6.🏋️ A force of 460 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 40 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 8.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 9.🏋️ Pushing a crate 8 m took 1840 J of work. What force was used, in newtons?
- 10.🏋️ Pushing a crate 7 m took 350 J of work. What force was used, in newtons?
- 11.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 12.🏋️ Pushing a crate 3 m took 1500 J of work. What force was used, in newtons?
- 13.🏋️ Pushing a crate 10 m took 2200 J of work. What force was used, in newtons?
- 14.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 15.🏋️ A force of 350 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 250 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 490 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 300 N did 2700 J of work. How many metres did the object move?
- 19.🏋️ A machine lifts a load of 280 N when you push with 140 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 100 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 230 N did 1150 J of work. How many metres did the object move?
- 22.🏋️ A 16 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A force of 390 N did 3510 J of work. How many metres did the object move?
- 25.🏋️ Pushing a crate 6 m took 2880 J of work. What force was used, in newtons?
- 26.🏋️ A force of 460 N did 1380 J of work. How many metres did the object move?
- 27.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ Pushing a crate 3 m took 960 J of work. What force was used, in newtons?
- 29.🏋️ A force of 80 N did 320 J of work. How many metres did the object move?
- 30.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 31.🏋️ A force of 460 N did 1840 J of work. How many metres did the object move?
- 32.🏋️ Pushing a crate 3 m took 1140 J of work. What force was used, in newtons?
- 33.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A 1 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 70 N did 140 J of work. How many metres did the object move?
- 37.🏋️ A force of 180 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 38.🏋️ Pushing a crate 6 m took 540 J of work. What force was used, in newtons?
- 39.🏋️ A 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- through a distance
- 200
- 700
- 1620
- no, work stays the same
- 460
- 360
- joule (J)
- 230
- 50
- 2
- 500
- 220
- 3
- 1400
- 250
- 1470
- 9
- 2
- 800
- 5
- 640
- 760
- 9
- 480
- 3
- 950
- 320
- 4
- 3
- 4
- 380
- 350
- 20
- 200
- 2
- 720
- 90
- 60
- 950
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