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) no, work stays the same (b) yes, always (c) only on Mondays (d) yes, by half
- 2.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 4.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 5.🏋️ Pushing a crate 9 m took 270 J of work. What force was used, in newtons?
- 6.🏋️ A force of 100 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 170 N did 850 J of work. How many metres did the object move?
- 8.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 9.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) very slowly (d) without moving it
- 10.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 40 N did 160 J of work. How many metres did the object move?
- 13.🏋️ A 5 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A force of 280 N did 2800 J of work. How many metres did the object move?
- 15.🏋️ A force of 290 N did 2900 J of work. How many metres did the object move?
- 16.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 170 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 170 N did 1360 J of work. How many metres did the object move?
- 19.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) no effort (d) more effort
- 20.🏋️ Pushing a crate 3 m took 810 J of work. What force was used, in newtons?
- 21.🏋️ A force of 80 N did 800 J of work. How many metres did the object move?
- 22.🏋️ A force of 390 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 40 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 24.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 200 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 27.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 28.🏋️ A force of 310 N did 310 J of work. How many metres did the object move?
- 29.🏋️ A force of 290 N did 2030 J of work. How many metres did the object move?
- 30.🏋️ Pushing a crate 3 m took 120 J of work. What force was used, in newtons?
- 31.🏋️ A 14 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 33.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 60 N did 300 J of work. How many metres did the object move?
- 35.🏋️ A force of 370 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 36.🏋️ A 13 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 38.🏋️ A 16 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A force of 140 N did 280 J of work. How many metres did the object move?
- 40.🏋️ A force of 90 N pushes a cart 5 m along the floor. How much work is done, in joules?
Answer key
- no, work stays the same
- 400
- 4
- load ÷ effort
- 30
- 900
- 5
- 2
- through a distance
- 130
- 700
- 4
- 250
- 10
- 10
- 6
- 680
- 8
- less effort
- 270
- 10
- 2340
- 400
- 50
- 400
- 1200
- 3
- 1
- 7
- 40
- 140
- joule (J)
- 400
- 5
- 2960
- 390
- 2
- 640
- 2
- 450
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