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 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 480 N did 960 J of work. How many metres did the object move?
- 3.🏋️ A 9 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ Pushing a crate 1 m took 360 J of work. What force was used, in newtons?
- 5.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 6.🏋️ A force of 210 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 490 N did 4410 J of work. How many metres did the object move?
- 8.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 9.🏋️ Pushing a crate 7 m took 2870 J of work. What force was used, in newtons?
- 10.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) more effort (d) no effort
- 11.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A 12 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A force of 20 N did 180 J of work. How many metres did the object move?
- 14.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) newton (N) (d) metre (m)
- 15.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 310 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 17.🏋️ A machine lifts a load of 1000 N when you push with 200 N. What is its mechanical advantage (MA)?
- 18.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 19.🏋️ Pushing a crate 3 m took 600 J of work. What force was used, in newtons?
- 20.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 21.🏋️ Pushing a crate 7 m took 3010 J of work. What force was used, in newtons?
- 22.🏋️ A force of 30 N did 120 J of work. How many metres did the object move?
- 23.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 24.🏋️ A 10 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A force of 370 N did 1480 J of work. How many metres did the object move?
- 26.🏋️ Pushing a crate 2 m took 240 J of work. What force was used, in newtons?
- 27.🏋️ A force of 270 N did 2430 J of work. How many metres did the object move?
- 28.🏋️ 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)
- 29.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 340 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 290 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 32.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ Pushing a crate 10 m took 1000 J of work. What force was used, in newtons?
- 34.🏋️ 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)
- 35.🏋️ Pushing a crate 10 m took 100 J of work. What force was used, in newtons?
- 36.🏋️ A force of 290 N did 2030 J of work. How many metres did the object move?
- 37.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, always (d) yes, by half
- 39.🏋️ A machine lifts a load of 400 N when you push with 100 N. What is its mechanical advantage (MA)?
- 40.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
Answer key
- 6
- 2
- 360
- 360
- 4
- 1050
- 9
- through a distance
- 410
- less effort
- 350
- 120
- 9
- joule (J)
- 3
- 620
- 5
- 2
- 200
- load ÷ effort
- 430
- 4
- 3
- 400
- 4
- 120
- 9
- 600
- 3
- 680
- 2610
- 650
- 100
- 500
- 10
- 7
- 800
- no, work stays the same
- 4
- 6
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