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.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) load × effort (d) effort ÷ load
- 2.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 3.🏋️ A force of 10 N did 70 J of work. How many metres did the object move?
- 4.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) the same effort (d) more effort
- 6.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
- 8.🏋️ A force of 100 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 9.🏋️ A 7 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A force of 190 N did 380 J of work. How many metres did the object move?
- 11.🏋️ A force of 480 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 480 N did 2400 J of work. How many metres did the object move?
- 13.🏋️ Pushing a crate 4 m took 360 J of work. What force was used, in newtons?
- 14.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 15.🏋️ A force of 460 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 90 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 80 N did 560 J of work. How many metres did the object move?
- 18.🏋️ A force of 370 N did 1480 J of work. How many metres did the object move?
- 19.🏋️ Pushing a crate 1 m took 290 J of work. What force was used, in newtons?
- 20.🏋️ A force of 50 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 21.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A force of 210 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 360 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 24.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 25.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 26.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 60 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 28.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 29.🏋️ Pushing a crate 9 m took 1440 J of work. What force was used, in newtons?
- 30.🏋️ A force of 250 N did 2250 J of work. How many metres did the object move?
- 31.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ 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)
- 34.🏋️ A force of 430 N did 1290 J of work. How many metres did the object move?
- 35.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 36.🏋️ A 6 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A force of 270 N did 2430 J of work. How many metres did the object move?
- 38.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 60 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 90 N pushes a cart 6 m along the floor. How much work is done, in joules?
Answer key
- load ÷ effort
- 3
- 7
- 700
- less effort
- 850
- through a distance
- 800
- 210
- 2
- 2880
- 5
- 90
- 3
- 1380
- 720
- 7
- 4
- 290
- 300
- 450
- 1050
- 1440
- joule (J)
- 5
- 1000
- 120
- 3
- 160
- 9
- 400
- 40
- 150
- 3
- 4
- 300
- 9
- 5
- 420
- 540
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