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 6 m took 600 J of work. What force was used, in newtons?
- 2.🏋️ Pushing a crate 8 m took 1760 J of work. What force was used, in newtons?
- 3.🏋️ A force of 280 N did 560 J of work. How many metres did the object move?
- 4.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 5.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 6.🏋️ 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)
- 7.🏋️ A force of 350 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 8.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) load + effort (d) effort ÷ load
- 9.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 10.🏋️ A force of 180 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 230 N did 2300 J of work. How many metres did the object move?
- 12.🏋️ A force of 490 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 110 N did 220 J of work. How many metres did the object move?
- 14.🏋️ A force of 210 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 15.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A force of 180 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 17.🏋️ Pushing a crate 5 m took 150 J of work. What force was used, in newtons?
- 18.🏋️ Pushing a crate 6 m took 1560 J of work. What force was used, in newtons?
- 19.🏋️ A force of 490 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 20.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) more effort (d) less effort
- 21.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A force of 460 N did 460 J of work. How many metres did the object move?
- 23.🏋️ A 13 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ Pushing a crate 8 m took 4000 J of work. What force was used, in newtons?
- 25.🏋️ A force of 20 N did 200 J of work. How many metres did the object move?
- 26.🏋️ A force of 70 N did 560 J of work. How many metres did the object move?
- 27.🏋️ A force of 50 N did 400 J of work. How many metres did the object move?
- 28.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A 15 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ Pushing a crate 3 m took 720 J of work. What force was used, in newtons?
- 31.🏋️ Pushing a crate 10 m took 3400 J of work. What force was used, in newtons?
- 32.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 160 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 3 m took 690 J of work. What force was used, in newtons?
- 35.🏋️ A force of 70 N did 350 J of work. How many metres did the object move?
- 36.🏋️ A force of 110 N did 1100 J of work. How many metres did the object move?
- 37.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 38.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3900 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 390 N did 3120 J of work. How many metres did the object move?
- 40.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 100
- 220
- 2
- through a distance
- 4
- 700
- 350
- load ÷ effort
- joule (J)
- 360
- 10
- 980
- 2
- 840
- 100
- 1440
- 30
- 260
- 3920
- less effort
- 600
- 1
- 650
- 500
- 10
- 8
- 8
- 650
- 150
- 240
- 340
- 2
- 640
- 230
- 5
- 10
- 2
- 650
- 8
- 950
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