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 machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 2.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A force of 190 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 4.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 5.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A force of 80 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 7.🏋️ Pushing a crate 2 m took 260 J of work. What force was used, in newtons?
- 8.🏋️ Pushing a crate 4 m took 960 J of work. What force was used, in newtons?
- 9.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 11.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 10 N did 90 J of work. How many metres did the object move?
- 13.🏋️ A force of 500 N did 3000 J of work. How many metres did the object move?
- 14.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ Pushing a crate 3 m took 120 J of work. What force was used, in newtons?
- 16.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 17.🏋️ 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
- 18.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A force of 280 N did 1120 J of work. How many metres did the object move?
- 22.🏋️ Pushing a crate 7 m took 350 J of work. What force was used, in newtons?
- 23.🏋️ A force of 320 N did 640 J of work. How many metres did the object move?
- 24.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 330 N did 1650 J of work. How many metres did the object move?
- 26.🏋️ Pushing a crate 9 m took 3870 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 5 m took 100 J of work. What force was used, in newtons?
- 28.🏋️ A force of 20 N did 80 J of work. How many metres did the object move?
- 29.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) more effort (d) the same effort
- 30.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 30 N did 30 J of work. How many metres did the object move?
- 32.🏋️ A force of 240 N did 2160 J of work. How many metres did the object move?
- 33.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 34.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 180 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 36.🏋️ Pushing a crate 3 m took 1050 J of work. What force was used, in newtons?
- 37.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) load × effort (d) effort ÷ load
- 38.🏋️ A force of 150 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 39.🏋️ 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)
- 40.🏋️ Pushing a crate 9 m took 1350 J of work. What force was used, in newtons?
Answer key
- 3
- 950
- 950
- joule (J)
- 300
- 560
- 130
- 240
- 950
- 5
- 550
- 9
- 6
- 600
- 40
- through a distance
- no, work stays the same
- 350
- 750
- 600
- 4
- 50
- 2
- 2
- 5
- 430
- 20
- 4
- less effort
- 700
- 1
- 9
- 4
- 3
- 180
- 350
- load ÷ effort
- 1200
- 750
- 150
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