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 machine lifts a load of 480 N when you push with 120 N. What is its mechanical advantage (MA)?
- 2.🏋️ A 13 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) no, work stays the same (d) yes, always
- 4.🏋️ A machine lifts a load of 600 N when you push with 100 N. What is its mechanical advantage (MA)?
- 5.🏋️ A force of 170 N did 850 J of work. How many metres did the object move?
- 6.🏋️ A force of 80 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 7.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) more effort (d) the same effort
- 8.🏋️ A force of 450 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 9.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 11.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 10 N did 10 J of work. How many metres did the object move?
- 13.🏋️ Pushing a crate 5 m took 2400 J of work. What force was used, in newtons?
- 14.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) very slowly (d) only upwards
- 15.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A force of 30 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 470 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 470 N did 2820 J of work. How many metres did the object move?
- 19.🏋️ A force of 170 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 20.🏋️ Pushing a crate 1 m took 360 J of work. What force was used, in newtons?
- 21.🏋️ A force of 310 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 30 N did 90 J of work. How many metres did the object move?
- 23.🏋️ Pushing a crate 6 m took 300 J of work. What force was used, in newtons?
- 24.🏋️ A force of 440 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 25.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 26.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A force of 130 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 30.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 110 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 33.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 34.🏋️ Pushing a crate 8 m took 560 J of work. What force was used, in newtons?
- 35.🏋️ A force of 370 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 36.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A force of 100 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 310 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 39.🏋️ A force of 360 N did 2880 J of work. How many metres did the object move?
- 40.🏋️ A force of 50 N pushes a cart 2 m along the floor. How much work is done, in joules?
Answer key
- 4
- 390
- no, work stays the same
- 6
- 5
- 80
- less effort
- 2700
- 150
- load ÷ effort
- 800
- 1
- 480
- through a distance
- 800
- 120
- 4230
- 6
- 1700
- 360
- 1240
- 3
- 50
- 4400
- joule (J)
- 450
- 600
- 500
- 1040
- 450
- 450
- 550
- 3
- 70
- 370
- 50
- 300
- 1550
- 8
- 100
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