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.🏋️ Pushing a crate 4 m took 400 J of work. What force was used, in newtons?
- 2.🏋️ A force of 360 N did 1800 J of work. How many metres did the object move?
- 3.🏋️ A force of 20 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 4.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) yes, always (d) only on Mondays
- 5.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 6.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 7.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
- 8.🏋️ A force of 290 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 330 N did 660 J of work. How many metres did the object move?
- 10.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) the same effort (d) no effort
- 11.🏋️ A force of 150 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 170 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 330 N did 990 J of work. How many metres did the object move?
- 14.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 15.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A force of 370 N did 370 J of work. How many metres did the object move?
- 17.🏋️ Pushing a crate 1 m took 50 J of work. What force was used, in newtons?
- 18.🏋️ A force of 70 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 19.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 20.🏋️ A 1 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A machine lifts a load of 500 N when you push with 100 N. What is its mechanical advantage (MA)?
- 23.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 440 N did 440 J of work. How many metres did the object move?
- 25.🏋️ A force of 250 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 420 N did 3780 J of work. How many metres did the object move?
- 27.🏋️ A force of 370 N did 3330 J of work. How many metres did the object move?
- 28.🏋️ A 17 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2600 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 40 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 31.🏋️ 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?
- 32.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ 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)
- 34.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load + effort (d) load × effort
- 35.🏋️ 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)
- 36.🏋️ A force of 210 N did 210 J of work. How many metres did the object move?
- 37.🏋️ A force of 300 N did 600 J of work. How many metres did the object move?
- 38.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 470 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 130 N did 130 J of work. How many metres did the object move?
Answer key
- 100
- 5
- 20
- no, work stays the same
- 4
- 3
- through a distance
- 1450
- 2
- less effort
- 1500
- 1360
- 3
- 6
- 900
- 1
- 50
- 140
- joule (J)
- 50
- 700
- 5
- 300
- 1
- 1500
- 9
- 9
- 680
- 650
- 360
- 200
- 500
- 850
- load ÷ effort
- 50
- 1
- 2
- 3
- 3290
- 1
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