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.
NameDateTime takenScore ___ / 40
- 1.🏋️ A force of 200 N did 400 J of work. How many metres did the object move?
- 2.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) less effort (d) no effort
- 3.🏋️ A force of 130 N did 130 J of work. How many metres did the object move?
- 4.🏋️ A force of 360 N did 360 J of work. How many metres did the object move?
- 5.🏋️ A machine lifts a load of 1000 N when you push with 200 N. What is its mechanical advantage (MA)?
- 6.🏋️ A force of 40 N did 360 J of work. How many metres did the object move?
- 7.🏋️ Pushing a crate 2 m took 600 J of work. What force was used, in newtons?
- 8.🏋️ Pushing a crate 8 m took 3200 J of work. What force was used, in newtons?
- 9.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4750 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ Pushing a crate 6 m took 1380 J of work. What force was used, in newtons?
- 11.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ 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)
- 13.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ Pushing a crate 10 m took 4900 J of work. What force was used, in newtons?
- 16.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A force of 160 N did 1120 J of work. How many metres did the object move?
- 18.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ Pushing a crate 7 m took 280 J of work. What force was used, in newtons?
- 20.🏋️ A force of 60 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 420 N did 3780 J of work. How many metres did the object move?
- 22.🏋️ Pushing a crate 10 m took 100 J of work. What force was used, in newtons?
- 23.🏋️ A force of 370 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 24.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 25.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 26.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 27.🏋️ A 12 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 210 N did 2100 J of work. How many metres did the object move?
- 31.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 350 N did 700 J of work. How many metres did the object move?
- 33.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 34.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A force of 500 N did 5000 J of work. How many metres did the object move?
- 36.🏋️ Pushing a crate 6 m took 1920 J of work. What force was used, in newtons?
- 37.🏋️ A force of 370 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 38.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 390 N did 3510 J of work. How many metres did the object move?
- 40.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
Answer key
- 2
- less effort
- 1
- 1
- 5
- 9
- 300
- 400
- 950
- 230
- 100
- 1000
- 550
- 850
- 490
- 20
- 7
- 200
- 40
- 240
- 9
- 10
- 2590
- load ÷ effort
- 4
- 3
- 240
- 750
- 6
- 10
- 250
- 2
- 2
- 200
- 10
- 320
- 3330
- 5
- 9
- 3
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