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 480 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 2.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) without moving it (d) through a distance
- 3.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 4.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) metre (m) (d) watt hour
- 6.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) the same effort (d) no effort
- 7.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A force of 140 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 170 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 10.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 11.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 120 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 13.🏋️ A 10 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A 14 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 17.🏋️ Pushing a crate 4 m took 440 J of work. What force was used, in newtons?
- 18.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ Pushing a crate 1 m took 10 J of work. What force was used, in newtons?
- 20.🏋️ A force of 60 N did 60 J of work. How many metres did the object move?
- 21.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 22.🏋️ Pushing a crate 7 m took 2310 J of work. What force was used, in newtons?
- 23.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 24.🏋️ A force of 60 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 380 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 26.🏋️ Pushing a crate 8 m took 240 J of work. What force was used, in newtons?
- 27.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 28.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 110 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 30.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ Pushing a crate 8 m took 1600 J of work. What force was used, in newtons?
- 32.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 350 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 35.🏋️ 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?
- 36.🏋️ A force of 320 N did 960 J of work. How many metres did the object move?
- 37.🏋️ A force of 20 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 38.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 450 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 220 N pushes a cart 2 m along the floor. How much work is done, in joules?
Answer key
- 2880
- through a distance
- 3
- 300
- joule (J)
- less effort
- 900
- 980
- 510
- 2
- 250
- 240
- 300
- 700
- 1000
- 6
- 110
- 300
- 10
- 1
- 5
- 330
- 6
- 120
- 3420
- 30
- 5
- 5
- 440
- 1000
- 200
- 750
- 750
- 2100
- 80
- 3
- 180
- 650
- 4050
- 440
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