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.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
- 2.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) no, work stays the same (d) yes, always
- 3.🏋️ Pushing a crate 10 m took 4000 J of work. What force was used, in newtons?
- 4.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 6.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) the same effort (d) no effort
- 7.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 8.🏋️ A force of 40 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 30 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 10.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ Pushing a crate 3 m took 570 J of work. What force was used, in newtons?
- 12.🏋️ A 13 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A force of 500 N did 1500 J of work. How many metres did the object move?
- 14.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 15.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 17.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 18.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 160 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 20.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A force of 460 N did 2760 J of work. How many metres did the object move?
- 22.🏋️ Pushing a crate 2 m took 460 J of work. What force was used, in newtons?
- 23.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ Pushing a crate 7 m took 210 J of work. What force was used, in newtons?
- 25.🏋️ A force of 470 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 110 N did 330 J of work. How many metres did the object move?
- 27.🏋️ Pushing a crate 1 m took 330 J of work. What force was used, in newtons?
- 28.🏋️ A force of 240 N did 480 J of work. How many metres did the object move?
- 29.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ 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)
- 31.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 32.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 80 N did 640 J of work. How many metres did the object move?
- 34.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 35.🏋️ Pushing a crate 7 m took 2940 J of work. What force was used, in newtons?
- 36.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 37.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) through a distance (d) only upwards
- 39.🏋️ A force of 500 N did 4000 J of work. How many metres did the object move?
- 40.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- joule (J)
- no, work stays the same
- 400
- 50
- 6
- less effort
- 6
- 320
- 270
- 350
- 190
- 520
- 3
- 3
- 750
- 5
- load ÷ effort
- 4
- 160
- 120
- 6
- 230
- 950
- 30
- 3760
- 3
- 330
- 2
- 80
- 750
- 6
- 3
- 8
- 6
- 420
- 2
- 850
- through a distance
- 8
- 150
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