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 160 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 2.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 3.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) load + effort (d) effort ÷ load
- 4.🏋️ Pushing a crate 4 m took 1840 J of work. What force was used, in newtons?
- 5.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 6.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) only on Mondays (d) yes, always
- 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 310 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 9.🏋️ Pushing a crate 3 m took 180 J of work. What force was used, in newtons?
- 10.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5400 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A force of 360 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 270 N did 1350 J of work. How many metres did the object move?
- 15.🏋️ A force of 370 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 16.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ Pushing a crate 3 m took 480 J of work. What force was used, in newtons?
- 18.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 230 N did 690 J of work. How many metres did the object move?
- 20.🏋️ Pushing a crate 5 m took 1500 J of work. What force was used, in newtons?
- 21.🏋️ Pushing a crate 2 m took 40 J of work. What force was used, in newtons?
- 22.🏋️ A machine lifts a load of 760 N when you push with 190 N. What is its mechanical advantage (MA)?
- 23.🏋️ Pushing a crate 2 m took 260 J of work. What force was used, in newtons?
- 24.🏋️ A force of 130 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 25.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 26.🏋️ Pushing a crate 2 m took 880 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 1 m took 440 J of work. What force was used, in newtons?
- 28.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) metre (m) (d) joule (J)
- 29.🏋️ A force of 290 N did 580 J of work. How many metres did the object move?
- 30.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 31.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A 19 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 34.🏋️ A machine lifts a load of 400 N when you push with 100 N. What is its mechanical advantage (MA)?
- 35.🏋️ Pushing a crate 6 m took 2040 J of work. What force was used, in newtons?
- 36.🏋️ A force of 220 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 37.🏋️ Pushing a crate 3 m took 1410 J of work. What force was used, in newtons?
- 38.🏋️ A force of 480 N did 3360 J of work. How many metres did the object move?
- 39.🏋️ A force of 180 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 10 N did 10 J of work. How many metres did the object move?
Answer key
- 1120
- 2
- load ÷ effort
- 460
- 5
- no, work stays the same
- through a distance
- 310
- 60
- 400
- 900
- 250
- 2160
- 5
- 1480
- 100
- 160
- 2
- 3
- 300
- 20
- 4
- 130
- 1040
- 2
- 440
- 440
- joule (J)
- 2
- 3
- 700
- 190
- 3
- 4
- 340
- 1540
- 470
- 7
- 1620
- 1
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