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 12 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A force of 460 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 3.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 4.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) no effort (d) the same effort
- 5.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 6.🏋️ A force of 360 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 500 N did 3500 J of work. How many metres did the object move?
- 8.🏋️ A force of 470 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 9.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 11.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 12.🏋️ A force of 60 N did 540 J of work. How many metres did the object move?
- 13.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 14.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) metre (m) (d) newton (N)
- 15.🏋️ A 20 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 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 410 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 18.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 19.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 20.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 21.🏋️ A force of 220 N did 220 J of work. How many metres did the object move?
- 22.🏋️ Pushing a crate 3 m took 690 J of work. What force was used, in newtons?
- 23.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 24.🏋️ 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)
- 25.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load × effort (d) load + effort
- 26.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 27.🏋️ A force of 230 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 28.🏋️ Pushing a crate 4 m took 440 J of work. What force was used, in newtons?
- 29.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 30.🏋️ Pushing a crate 3 m took 1320 J of work. What force was used, in newtons?
- 31.🏋️ A force of 20 N did 140 J of work. How many metres did the object move?
- 32.🏋️ A force of 370 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 33.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A 15 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A force of 10 N did 80 J of work. How many metres did the object move?
- 37.🏋️ A force of 210 N did 1470 J of work. How many metres did the object move?
- 38.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 100 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 40.🏋️ A machine lifts a load of 700 N when you push with 140 N. What is its mechanical advantage (MA)?
Answer key
- 750
- 1380
- 6
- less effort
- through a distance
- 1440
- 7
- 3290
- 100
- 2
- 5
- 9
- 4
- joule (J)
- 200
- 6
- 3690
- 3
- 2
- no, work stays the same
- 1
- 230
- 5
- 950
- load ÷ effort
- 6
- 2300
- 110
- 2
- 440
- 7
- 2590
- 400
- 650
- 450
- 8
- 7
- 4
- 300
- 5
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