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 9 m took 2610 J of work. What force was used, in newtons?
- 2.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) the same effort (d) more effort
- 3.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 4.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 5.🏋️ A force of 170 N did 1190 J of work. How many metres did the object move?
- 6.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A 13 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 9.🏋️ A force of 170 N did 170 J of work. How many metres did the object move?
- 10.🏋️ Pushing a crate 9 m took 2970 J of work. What force was used, in newtons?
- 11.🏋️ A 3 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 13.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 300 N did 300 J of work. How many metres did the object move?
- 15.🏋️ Pushing a crate 8 m took 240 J of work. What force was used, in newtons?
- 16.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 17.🏋️ A 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A 2 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A force of 100 N did 200 J of work. How many metres did the object move?
- 20.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 21.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) only upwards (d) very slowly
- 22.🏋️ Pushing a crate 10 m took 4900 J of work. What force was used, in newtons?
- 23.🏋️ Pushing a crate 2 m took 720 J of work. What force was used, in newtons?
- 24.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 25.🏋️ Pushing a crate 10 m took 4600 J of work. What force was used, in newtons?
- 26.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ Pushing a crate 9 m took 2520 J of work. What force was used, in newtons?
- 28.🏋️ Pushing a crate 10 m took 2900 J of work. What force was used, in newtons?
- 29.🏋️ A machine lifts a load of 350 N when you push with 70 N. What is its mechanical advantage (MA)?
- 30.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 31.🏋️ A machine lifts a load of 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 32.🏋️ Pushing a crate 9 m took 2430 J of work. What force was used, in newtons?
- 33.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 34.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A force of 430 N did 1720 J of work. How many metres did the object move?
- 36.🏋️ A force of 180 N did 1800 J of work. How many metres did the object move?
- 37.🏋️ 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)
- 38.🏋️ A force of 160 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 39.🏋️ A force of 120 N did 480 J of work. How many metres did the object move?
- 40.🏋️ Pushing a crate 5 m took 1250 J of work. What force was used, in newtons?
Answer key
- 290
- less effort
- 3
- joule (J)
- 7
- 650
- 260
- 3
- 1
- 330
- 60
- 6
- 950
- 1
- 30
- 2
- 200
- 100
- 2
- 5
- through a distance
- 490
- 360
- 5
- 460
- 50
- 280
- 290
- 5
- load ÷ effort
- 3
- 270
- no, work stays the same
- 700
- 4
- 10
- 650
- 1280
- 4
- 250
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