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 force of 310 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 2.🏋️ Pushing a crate 8 m took 960 J of work. What force was used, in newtons?
- 3.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) less effort (d) no effort
- 4.🏋️ A machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 5.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 7.🏋️ 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)
- 8.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 9.🏋️ A force of 410 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 10.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) effort ÷ load (d) load ÷ effort
- 11.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 12.🏋️ A force of 200 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 13.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) yes, always (d) no, work stays the same
- 14.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4750 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A force of 10 N did 30 J of work. How many metres did the object move?
- 17.🏋️ Pushing a crate 7 m took 2800 J of work. What force was used, in newtons?
- 18.🏋️ A force of 80 N did 320 J of work. How many metres did the object move?
- 19.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 480 N did 960 J of work. How many metres did the object move?
- 21.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 22.🏋️ A force of 310 N did 620 J of work. How many metres did the object move?
- 23.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 24.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 170 N did 510 J of work. How many metres did the object move?
- 26.🏋️ Pushing a crate 4 m took 1360 J of work. What force was used, in newtons?
- 27.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 28.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ Pushing a crate 1 m took 240 J of work. What force was used, in newtons?
- 30.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 31.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 32.🏋️ 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?
- 33.🏋️ A force of 230 N did 1840 J of work. How many metres did the object move?
- 34.🏋️ 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?
- 35.🏋️ A force of 290 N did 2610 J of work. How many metres did the object move?
- 36.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 37.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 38.🏋️ Pushing a crate 3 m took 840 J of work. What force was used, in newtons?
- 39.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 390 N pushes a cart 1 m along the floor. How much work is done, in joules?
Answer key
- 1860
- 120
- less effort
- 4
- 750
- 2
- 850
- 3
- 2050
- load ÷ effort
- 2
- 2000
- no, work stays the same
- 550
- 950
- 3
- 400
- 4
- 3
- 2
- through a distance
- 2
- 2
- 6
- 3
- 340
- joule (J)
- 50
- 240
- 6
- 3
- 10
- 8
- 800
- 9
- 2
- 2
- 280
- 4
- 390
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