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 8 m long and rises 2 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ Pushing a crate 4 m took 720 J of work. What force was used, in newtons?
- 3.🏋️ Pushing a crate 4 m took 80 J of work. What force was used, in newtons?
- 4.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 5.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
- 6.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ 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)
- 9.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ Pushing a crate 10 m took 900 J of work. What force was used, in newtons?
- 11.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) more effort (d) no effort
- 12.🏋️ A force of 100 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 13.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) yes, by half (d) only on Mondays
- 14.🏋️ Pushing a crate 10 m took 2700 J of work. What force was used, in newtons?
- 15.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 16.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 17.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 18.🏋️ A force of 240 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 19.🏋️ Pushing a crate 6 m took 120 J of work. What force was used, in newtons?
- 20.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ Pushing a crate 10 m took 100 J of work. What force was used, in newtons?
- 22.🏋️ Pushing a crate 4 m took 480 J of work. What force was used, in newtons?
- 23.🏋️ A force of 450 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 5 m took 100 J of work. What force was used, in newtons?
- 25.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3900 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 320 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 27.🏋️ Pushing a crate 3 m took 240 J of work. What force was used, in newtons?
- 28.🏋️ A 15 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A force of 310 N did 3100 J of work. How many metres did the object move?
- 30.🏋️ A force of 80 N did 720 J of work. How many metres did the object move?
- 31.🏋️ Pushing a crate 3 m took 1200 J of work. What force was used, in newtons?
- 32.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 33.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 160 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 280 N did 560 J of work. How many metres did the object move?
- 36.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A force of 240 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 38.🏋️ Pushing a crate 2 m took 160 J of work. What force was used, in newtons?
- 39.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 40 N pushes a cart 1 m along the floor. How much work is done, in joules?
Answer key
- 950
- 180
- 20
- joule (J)
- through a distance
- 150
- 900
- 650
- 300
- 90
- less effort
- 900
- no, work stays the same
- 270
- load ÷ effort
- 4
- 3
- 240
- 20
- 150
- 10
- 120
- 1800
- 20
- 650
- 2560
- 80
- 600
- 10
- 9
- 400
- 5
- 250
- 800
- 2
- 850
- 480
- 80
- 100
- 40
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