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.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) only on Mondays (d) yes, by half
- 2.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 3.🏋️ Pushing a crate 10 m took 2800 J of work. What force was used, in newtons?
- 4.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A force of 420 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 260 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 8.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 9.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ Pushing a crate 9 m took 450 J of work. What force was used, in newtons?
- 11.🏋️ A force of 70 N did 420 J of work. How many metres did the object move?
- 12.🏋️ A 19 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 30 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 15.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) the same effort (d) no effort
- 16.🏋️ Pushing a crate 9 m took 1800 J of work. What force was used, in newtons?
- 17.🏋️ 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?
- 18.🏋️ A force of 490 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 19.🏋️ Pushing a crate 4 m took 1760 J of work. What force was used, in newtons?
- 20.🏋️ A force of 100 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 21.🏋️ 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)
- 22.🏋️ A force of 360 N did 1440 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 1800 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 25.🏋️ 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)
- 26.🏋️ A force of 90 N did 360 J of work. How many metres did the object move?
- 27.🏋️ A force of 420 N did 3780 J of work. How many metres did the object move?
- 28.🏋️ Pushing a crate 2 m took 540 J of work. What force was used, in newtons?
- 29.🏋️ Pushing a crate 2 m took 320 J of work. What force was used, in newtons?
- 30.🏋️ A force of 460 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 170 N did 510 J of work. How many metres did the object move?
- 32.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 33.🏋️ Pushing a crate 9 m took 2700 J of work. What force was used, in newtons?
- 34.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A force of 80 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 410 N did 4100 J of work. How many metres did the object move?
- 37.🏋️ A 5 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ Pushing a crate 4 m took 1480 J of work. What force was used, in newtons?
- 40.🏋️ A force of 360 N pushes a cart 5 m along the floor. How much work is done, in joules?
Answer key
- no, work stays the same
- through a distance
- 280
- 170
- 400
- 4200
- 1560
- 4
- 100
- 50
- 6
- 950
- 650
- 270
- less effort
- 200
- 10
- 980
- 440
- 800
- 850
- 4
- 600
- 6
- 500
- 4
- 9
- 270
- 160
- 4140
- 3
- joule (J)
- 300
- 300
- 560
- 10
- 200
- 700
- 370
- 1800
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