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 force of 190 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 2.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 3.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 4.🏋️ Pushing a crate 8 m took 1120 J of work. What force was used, in newtons?
- 5.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A force of 130 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 7.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A 6 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 10.🏋️ Pushing a crate 3 m took 450 J of work. What force was used, in newtons?
- 11.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 12.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 13.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) through a distance (d) without moving it
- 14.🏋️ A force of 100 N did 200 J of work. How many metres did the object move?
- 15.🏋️ A force of 270 N did 2160 J of work. How many metres did the object move?
- 16.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 490 N did 4410 J of work. How many metres did the object move?
- 18.🏋️ A force of 270 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 19.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 500 N did 1500 J of work. How many metres did the object move?
- 21.🏋️ Pushing a crate 3 m took 690 J of work. What force was used, in newtons?
- 22.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 210 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 7 m took 2450 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 3 m took 600 J of work. What force was used, in newtons?
- 26.🏋️ Pushing a crate 5 m took 2250 J of work. What force was used, in newtons?
- 27.🏋️ A force of 490 N did 490 J of work. How many metres did the object move?
- 28.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 360 N did 1440 J of work. How many metres did the object move?
- 30.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 190 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 32.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) less effort (d) the same effort
- 33.🏋️ A force of 40 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 34.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 36.🏋️ A 14 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ Pushing a crate 1 m took 30 J of work. What force was used, in newtons?
- 38.🏋️ A force of 160 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 2 m took 180 J of work. What force was used, in newtons?
- 40.🏋️ 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)
Answer key
- 380
- 4
- 4
- 140
- 150
- 780
- 600
- 300
- 5
- 150
- load ÷ effort
- joule (J)
- through a distance
- 2
- 8
- 6
- 9
- 810
- 2
- 3
- 230
- 1000
- 1050
- 350
- 200
- 450
- 1
- 4
- 4
- 100
- 1330
- less effort
- 200
- 450
- 4
- 560
- 30
- 480
- 90
- 200
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