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 1260 J of work. What force was used, in newtons?
- 2.🏋️ A 7 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 4.🏋️ Pushing a crate 3 m took 420 J of work. What force was used, in newtons?
- 5.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 7.🏋️ A force of 270 N did 270 J of work. How many metres did the object move?
- 8.🏋️ Pushing a crate 1 m took 470 J of work. What force was used, in newtons?
- 9.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) yes, by half (d) only on Mondays
- 10.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A force of 460 N did 4600 J of work. How many metres did the object move?
- 12.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 13.🏋️ Pushing a crate 1 m took 370 J of work. What force was used, in newtons?
- 14.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 15.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) load ÷ effort (d) effort ÷ load
- 16.🏋️ A force of 50 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 17.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ Pushing a crate 5 m took 1300 J of work. What force was used, in newtons?
- 19.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A force of 240 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 21.🏋️ Pushing a crate 9 m took 4230 J of work. What force was used, in newtons?
- 22.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 80 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 10 N did 70 J of work. How many metres did the object move?
- 26.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 27.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 260 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 210 N did 1470 J of work. How many metres did the object move?
- 30.🏋️ A force of 480 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 31.🏋️ A 1 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A force of 360 N did 1080 J of work. How many metres did the object move?
- 33.🏋️ An 8 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ Pushing a crate 1 m took 320 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 4 m took 240 J of work. What force was used, in newtons?
- 36.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 90 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 100 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 39.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 100 N did 300 J of work. How many metres did the object move?
Answer key
- 140
- 280
- joule (J)
- 140
- 100
- 6
- 1
- 470
- no, work stays the same
- 950
- 10
- through a distance
- 370
- 6
- load ÷ effort
- 500
- 800
- 260
- 200
- 960
- 470
- 700
- 350
- 320
- 7
- 2
- 750
- 2080
- 7
- 3840
- 30
- 3
- 400
- 320
- 60
- 6
- 90
- 1000
- 600
- 3
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