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.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A machine lifts a load of 760 N when you push with 190 N. What is its mechanical advantage (MA)?
- 3.🏋️ Pushing a crate 3 m took 90 J of work. What force was used, in newtons?
- 4.🏋️ Pushing a crate 7 m took 1960 J of work. What force was used, in newtons?
- 5.🏋️ A force of 90 N did 270 J of work. How many metres did the object move?
- 6.🏋️ A force of 80 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 7.🏋️ Pushing a crate 8 m took 3040 J of work. What force was used, in newtons?
- 8.🏋️ Pushing a crate 6 m took 960 J of work. What force was used, in newtons?
- 9.🏋️ Pushing a crate 2 m took 780 J of work. What force was used, in newtons?
- 10.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) without moving it (d) very slowly
- 13.🏋️ A force of 370 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 14.🏋️ Pushing a crate 10 m took 3700 J of work. What force was used, in newtons?
- 15.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 17.🏋️ Pushing a crate 2 m took 740 J of work. What force was used, in newtons?
- 18.🏋️ A force of 150 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 19.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 20.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 5000 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 110 N did 330 J of work. How many metres did the object move?
- 24.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A 14 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A machine lifts a load of 650 N when you push with 130 N. What is its mechanical advantage (MA)?
- 27.🏋️ A force of 110 N did 770 J of work. How many metres did the object move?
- 28.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 29.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 30.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) watt hour (d) newton (N)
- 31.🏋️ A force of 140 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 32.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A force of 420 N did 2100 J of work. How many metres did the object move?
- 34.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A force of 240 N did 480 J of work. How many metres did the object move?
- 40.🏋️ Pushing a crate 1 m took 370 J of work. What force was used, in newtons?
Answer key
- 750
- 4
- 30
- 280
- 3
- 320
- 380
- 160
- 390
- 600
- 70
- through a distance
- 740
- 370
- 50
- 6
- 370
- 1500
- 2
- 1000
- 40
- 2
- 3
- 130
- 280
- 5
- 7
- 3
- 6
- joule (J)
- 420
- 80
- 5
- 30
- 250
- 950
- 450
- 350
- 2
- 370
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