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.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) yes, always (d) only on Mondays
- 2.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) joule (J) (d) watt hour
- 3.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 5.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) the same effort (d) more effort
- 8.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) effort ÷ load (d) load + effort
- 9.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 10 N did 30 J of work. How many metres did the object move?
- 11.🏋️ Pushing a crate 5 m took 1350 J of work. What force was used, in newtons?
- 12.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 13.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ Pushing a crate 5 m took 600 J of work. What force was used, in newtons?
- 15.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 17.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 19.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 21.🏋️ A force of 160 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 70 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 90 N did 450 J of work. How many metres did the object move?
- 24.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 390 N did 1560 J of work. How many metres did the object move?
- 28.🏋️ A force of 110 N did 990 J of work. How many metres did the object move?
- 29.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A 6 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.🏋️ Pushing a crate 3 m took 540 J of work. What force was used, in newtons?
- 32.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ Pushing a crate 2 m took 460 J of work. What force was used, in newtons?
- 34.🏋️ A force of 150 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 280 N did 1960 J of work. How many metres did the object move?
- 36.🏋️ Pushing a crate 9 m took 90 J of work. What force was used, in newtons?
- 37.🏋️ A 16 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 39.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ 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)
Answer key
- no, work stays the same
- joule (J)
- 250
- 4
- 600
- 500
- less effort
- load ÷ effort
- 2
- 3
- 270
- through a distance
- 760
- 120
- 10
- 3
- 650
- 2
- 600
- 5
- 320
- 630
- 5
- 250
- 180
- 350
- 4
- 9
- 300
- 60
- 180
- 50
- 230
- 450
- 7
- 10
- 640
- 6
- 950
- 150
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