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 370 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 2.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 3.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
- 6.🏋️ A force of 20 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 7.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) without moving it (d) very slowly
- 8.🏋️ A 7 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A force of 30 N did 210 J of work. How many metres did the object move?
- 10.🏋️ A force of 40 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 11.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) only on Mondays (d) yes, always
- 12.🏋️ Pushing a crate 1 m took 110 J of work. What force was used, in newtons?
- 13.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 14.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 70 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 360 N did 2160 J of work. How many metres did the object move?
- 17.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 18.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) more effort (d) the same effort
- 19.🏋️ A force of 470 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 20.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 21.🏋️ Pushing a crate 2 m took 420 J of work. What force was used, in newtons?
- 22.🏋️ A force of 220 N did 1760 J of work. How many metres did the object move?
- 23.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ Pushing a crate 8 m took 3200 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 1 m took 490 J of work. What force was used, in newtons?
- 26.🏋️ An 11 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 330 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 28.🏋️ A 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 130 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 31.🏋️ Pushing a crate 3 m took 1170 J of work. What force was used, in newtons?
- 32.🏋️ A force of 480 N did 480 J of work. How many metres did the object move?
- 33.🏋️ A force of 260 N did 1560 J of work. How many metres did the object move?
- 34.🏋️ Pushing a crate 8 m took 2640 J of work. What force was used, in newtons?
- 35.🏋️ 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)
- 36.🏋️ Pushing a crate 7 m took 3500 J of work. What force was used, in newtons?
- 37.🏋️ Pushing a crate 9 m took 2610 J of work. What force was used, in newtons?
- 38.🏋️ A force of 150 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 10 m took 4500 J of work. What force was used, in newtons?
- 40.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 740
- 2
- 850
- 150
- joule (J)
- 20
- through a distance
- 140
- 7
- 200
- no, work stays the same
- 110
- 4
- 900
- 350
- 6
- 3
- less effort
- 4230
- load ÷ effort
- 210
- 8
- 1000
- 400
- 490
- 110
- 1320
- 90
- 400
- 910
- 390
- 1
- 6
- 330
- 100
- 500
- 290
- 1050
- 450
- 750
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