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 200 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) the same effort (d) more effort
- 3.🏋️ A force of 140 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 100 N did 900 J of work. How many metres did the object move?
- 5.🏋️ Pushing a crate 1 m took 140 J of work. What force was used, in newtons?
- 6.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 7.🏋️ A force of 210 N did 1470 J of work. How many metres did the object move?
- 8.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 9.🏋️ A force of 390 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 10.🏋️ Pushing a crate 6 m took 2760 J of work. What force was used, in newtons?
- 11.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 12.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A force of 500 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 14.🏋️ Pushing a crate 10 m took 2700 J of work. What force was used, in newtons?
- 15.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 16.🏋️ A force of 450 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 17.🏋️ Pushing a crate 2 m took 160 J of work. What force was used, in newtons?
- 18.🏋️ A 1 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 250 N did 750 J of work. How many metres did the object move?
- 21.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 390 N did 2340 J of work. How many metres did the object move?
- 24.🏋️ Pushing a crate 10 m took 2300 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 10 m took 500 J of work. What force was used, in newtons?
- 26.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 350 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 110 N did 550 J of work. How many metres did the object move?
- 30.🏋️ Pushing a crate 7 m took 1960 J of work. What force was used, in newtons?
- 31.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) only upwards (d) very slowly
- 32.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ An 8 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ An 18 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A 15 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A force of 460 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 70 N did 70 J of work. How many metres did the object move?
- 38.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 150 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 40.🏋️ Pushing a crate 7 m took 2380 J of work. What force was used, in newtons?
Answer key
- 100
- less effort
- 280
- 9
- 140
- 2
- 7
- 3
- 1170
- 460
- 2
- 850
- 2500
- 270
- joule (J)
- 1800
- 80
- 50
- 2
- 3
- 240
- 1000
- 6
- 230
- 50
- 550
- 650
- 1400
- 5
- 280
- through a distance
- 150
- 400
- 720
- 150
- 3220
- 1
- 850
- 300
- 340
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