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 300 N did 1200 J of work. How many metres did the object move?
- 2.🏋️ A 17 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load + effort (d) load × effort
- 4.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 5.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 6.🏋️ Pushing a crate 6 m took 1320 J of work. What force was used, in newtons?
- 7.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 8.🏋️ Pushing a crate 8 m took 720 J of work. What force was used, in newtons?
- 9.🏋️ 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)
- 10.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 170 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 140 N did 980 J of work. How many metres did the object move?
- 13.🏋️ A force of 50 N did 50 J of work. How many metres did the object move?
- 14.🏋️ A machine lifts a load of 760 N when you push with 190 N. What is its mechanical advantage (MA)?
- 15.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) the same effort (d) no effort
- 16.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 320 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 40 N did 120 J of work. How many metres did the object move?
- 19.🏋️ Pushing a crate 3 m took 120 J of work. What force was used, in newtons?
- 20.🏋️ A machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
- 21.🏋️ Pushing a crate 4 m took 960 J of work. What force was used, in newtons?
- 22.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 40 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 1 m took 230 J of work. What force was used, in newtons?
- 25.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) yes, always (d) no, work stays the same
- 26.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A force of 430 N did 1720 J of work. How many metres did the object move?
- 29.🏋️ A force of 480 N did 1440 J of work. How many metres did the object move?
- 30.🏋️ A force of 270 N did 1620 J of work. How many metres did the object move?
- 31.🏋️ Pushing a crate 2 m took 340 J of work. What force was used, in newtons?
- 32.🏋️ A force of 480 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 320 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 34.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 35.🏋️ A force of 360 N did 2520 J of work. How many metres did the object move?
- 36.🏋️ A force of 60 N did 540 J of work. How many metres did the object move?
- 37.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 38.🏋️ A force of 370 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 39.🏋️ A force of 30 N did 180 J of work. How many metres did the object move?
- 40.🏋️ A force of 50 N did 400 J of work. How many metres did the object move?
Answer key
- 4
- 850
- load ÷ effort
- joule (J)
- 2
- 220
- 2
- 90
- 700
- 3
- 170
- 7
- 1
- 4
- less effort
- 4
- 1280
- 3
- 40
- 5
- 240
- 300
- 240
- 230
- no, work stays the same
- 600
- 180
- 4
- 3
- 6
- 170
- 1440
- 960
- through a distance
- 7
- 9
- 6
- 1850
- 6
- 8
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