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) yes, always (b) only on Mondays (c) no, work stays the same (d) yes, by half
- 2.🏋️ Pushing a crate 2 m took 200 J of work. What force was used, in newtons?
- 3.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A force of 350 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 5.🏋️ 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)
- 6.🏋️ A force of 190 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 280 N did 560 J of work. How many metres did the object move?
- 8.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 9.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 10.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) effort ÷ load (d) load × effort
- 12.🏋️ A force of 90 N did 900 J of work. How many metres did the object move?
- 13.🏋️ 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)
- 14.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 15.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A force of 210 N did 420 J of work. How many metres did the object move?
- 17.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 18.🏋️ A force of 190 N did 1710 J of work. How many metres did the object move?
- 19.🏋️ A force of 180 N did 900 J of work. How many metres did the object move?
- 20.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 5000 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ Pushing a crate 3 m took 1470 J of work. What force was used, in newtons?
- 22.🏋️ A 20 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 25.🏋️ 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?
- 26.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 28.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 31.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 410 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 33.🏋️ A 16 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.🏋️ Pushing a crate 7 m took 1540 J of work. What force was used, in newtons?
- 35.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) the same effort (d) no effort
- 37.🏋️ A force of 250 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 38.🏋️ Pushing a crate 6 m took 300 J of work. What force was used, in newtons?
- 39.🏋️ A force of 130 N did 1300 J of work. How many metres did the object move?
- 40.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- no, work stays the same
- 100
- 250
- 2100
- 850
- 760
- 2
- 6
- 3
- 950
- load ÷ effort
- 10
- 50
- through a distance
- 500
- 2
- joule (J)
- 9
- 5
- 1000
- 490
- 1000
- 50
- 3
- 340
- 500
- 5
- 300
- 800
- 2
- 450
- 410
- 800
- 220
- 50
- less effort
- 2000
- 50
- 10
- 400
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