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 150 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 2.🏋️ Pushing a crate 2 m took 180 J of work. What force was used, in newtons?
- 3.🏋️ Pushing a crate 2 m took 760 J of work. What force was used, in newtons?
- 4.🏋️ A force of 260 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 5.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 6.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
- 7.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 8.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 9.🏋️ A force of 340 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 10.🏋️ A force of 120 N did 600 J of work. How many metres did the object move?
- 11.🏋️ A force of 210 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 12.🏋️ Pushing a crate 4 m took 720 J of work. What force was used, in newtons?
- 13.🏋️ A force of 240 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 14.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 500 N did 3000 J of work. How many metres did the object move?
- 16.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A force of 450 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 18.🏋️ A 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 100 N did 300 J of work. How many metres did the object move?
- 23.🏋️ A force of 470 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 10 m took 2000 J of work. What force was used, in newtons?
- 25.🏋️ A machine lifts a load of 1000 N when you push with 200 N. What is its mechanical advantage (MA)?
- 26.🏋️ Pushing a crate 3 m took 1230 J of work. What force was used, in newtons?
- 27.🏋️ A force of 100 N did 200 J of work. How many metres did the object move?
- 28.🏋️ Pushing a crate 6 m took 2160 J of work. What force was used, in newtons?
- 29.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 130 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 9 m took 1710 J of work. What force was used, in newtons?
- 35.🏋️ A force of 350 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 36.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) through a distance (d) without moving it
- 37.🏋️ A force of 180 N did 360 J of work. How many metres did the object move?
- 38.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 40 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 140 N did 1120 J of work. How many metres did the object move?
Answer key
- 300
- 90
- 380
- 780
- load ÷ effort
- less effort
- joule (J)
- 2
- 680
- 5
- 1680
- 180
- 1920
- 500
- 6
- 550
- 900
- 90
- 350
- 450
- 4
- 3
- 2350
- 200
- 5
- 410
- 2
- 360
- 850
- 600
- 550
- 2
- 1170
- 190
- 1400
- through a distance
- 2
- 2
- 120
- 8
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