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 1 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 4.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 5.🏋️ 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?
- 6.🏋️ A force of 60 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 7.🏋️ Pushing a crate 3 m took 30 J of work. What force was used, in newtons?
- 8.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A force of 230 N did 690 J of work. How many metres did the object move?
- 10.🏋️ A force of 130 N did 650 J of work. How many metres did the object move?
- 11.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) effort ÷ load (d) load + effort
- 12.🏋️ Pushing a crate 7 m took 840 J of work. What force was used, in newtons?
- 13.🏋️ A force of 330 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 14.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5400 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 250 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 16.🏋️ Pushing a crate 5 m took 1600 J of work. What force was used, in newtons?
- 17.🏋️ A force of 10 N did 60 J of work. How many metres did the object move?
- 18.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
- 19.🏋️ A force of 340 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 20.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 21.🏋️ A 12 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 9 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A force of 350 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 340 N did 2720 J of work. How many metres did the object move?
- 25.🏋️ A force of 50 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 26.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 27.🏋️ Pushing a crate 4 m took 680 J of work. What force was used, in newtons?
- 28.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 29.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 30.🏋️ 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?
- 31.🏋️ A force of 150 N did 1350 J of work. How many metres did the object move?
- 32.🏋️ A force of 420 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 80 N did 640 J of work. How many metres did the object move?
- 34.🏋️ A force of 40 N did 40 J of work. How many metres did the object move?
- 35.🏋️ Pushing a crate 3 m took 1170 J of work. What force was used, in newtons?
- 36.🏋️ A 13 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ Pushing a crate 9 m took 2970 J of work. What force was used, in newtons?
- 38.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A 17 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A force of 300 N pushes a cart 2 m along the floor. How much work is done, in joules?
Answer key
- 50
- 150
- joule (J)
- 3
- 300
- 60
- 10
- 200
- 3
- 5
- load ÷ effort
- 120
- 1320
- 900
- 750
- 320
- 6
- through a distance
- 680
- 6
- 120
- 180
- 2100
- 8
- 150
- 2
- 170
- 6
- 2
- 70
- 9
- 3780
- 8
- 1
- 390
- 260
- 330
- 250
- 340
- 600
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