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 60 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 2.🏋️ A force of 260 N did 1560 J of work. How many metres did the object move?
- 3.🏋️ A force of 420 N did 3360 J of work. How many metres did the object move?
- 4.🏋️ Pushing a crate 3 m took 450 J of work. What force was used, in newtons?
- 5.🏋️ Pushing a crate 10 m took 1300 J of work. What force was used, in newtons?
- 6.🏋️ A 1 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ A force of 430 N did 1720 J of work. How many metres did the object move?
- 8.🏋️ Pushing a crate 3 m took 60 J of work. What force was used, in newtons?
- 9.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 10.🏋️ A force of 340 N did 2040 J of work. How many metres did the object move?
- 11.🏋️ A force of 460 N did 1380 J of work. How many metres did the object move?
- 12.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) load × effort (d) effort ÷ load
- 13.🏋️ Pushing a crate 6 m took 1620 J of work. What force was used, in newtons?
- 14.🏋️ Pushing a crate 10 m took 4300 J of work. What force was used, in newtons?
- 15.🏋️ A 1 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A force of 40 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 17.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 480 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 20.🏋️ Pushing a crate 3 m took 1230 J of work. What force was used, in newtons?
- 21.🏋️ A force of 490 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 22.🏋️ 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
- 23.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) less effort (d) the same effort
- 24.🏋️ A 15 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A force of 170 N did 510 J of work. How many metres did the object move?
- 26.🏋️ A force of 100 N did 200 J of work. How many metres did the object move?
- 27.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 28.🏋️ A force of 360 N did 2880 J of work. How many metres did the object move?
- 29.🏋️ A force of 320 N did 2240 J of work. How many metres did the object move?
- 30.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 120 N did 1200 J of work. How many metres did the object move?
- 32.🏋️ A force of 100 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 33.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 34.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 35.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 37.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) only upwards (d) very slowly
- 38.🏋️ A force of 150 N did 150 J of work. How many metres did the object move?
- 39.🏋️ A force of 480 N did 960 J of work. How many metres did the object move?
- 40.🏋️ A 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 480
- 6
- 8
- 150
- 130
- 20
- 4
- 20
- joule (J)
- 6
- 3
- load ÷ effort
- 270
- 430
- 30
- 120
- 400
- 700
- 3360
- 410
- 1960
- no, work stays the same
- less effort
- 150
- 3
- 2
- 4
- 8
- 7
- 100
- 10
- 1000
- 4
- 2
- 700
- 5
- through a distance
- 1
- 2
- 240
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