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 longer ramp to the same height needs … (a) the same effort (b) more effort (c) less effort (d) no effort
- 2.🏋️ A force of 310 N did 620 J of work. How many metres did the object move?
- 3.🏋️ A force of 380 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 130 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 5.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ Pushing a crate 1 m took 240 J of work. What force was used, in newtons?
- 7.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
- 8.🏋️ Pushing a crate 9 m took 2970 J of work. What force was used, in newtons?
- 9.🏋️ A force of 280 N did 840 J of work. How many metres did the object move?
- 10.🏋️ Pushing a crate 2 m took 780 J of work. What force was used, in newtons?
- 11.🏋️ Pushing a crate 2 m took 120 J of work. What force was used, in newtons?
- 12.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 13.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 14.🏋️ Pushing a crate 3 m took 990 J of work. What force was used, in newtons?
- 15.🏋️ Pushing a crate 6 m took 900 J of work. What force was used, in newtons?
- 16.🏋️ A force of 470 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 360 N did 2880 J of work. How many metres did the object move?
- 18.🏋️ Pushing a crate 2 m took 220 J of work. What force was used, in newtons?
- 19.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A force of 240 N did 1920 J of work. How many metres did the object move?
- 21.🏋️ A 10 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A force of 60 N did 180 J of work. How many metres did the object move?
- 24.🏋️ A force of 200 N did 800 J of work. How many metres did the object move?
- 25.🏋️ A force of 100 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 26.🏋️ A machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 27.🏋️ A machine lifts a load of 550 N when you push with 110 N. What is its mechanical advantage (MA)?
- 28.🏋️ A force of 180 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 29.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 240 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 32.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ Pushing a crate 2 m took 440 J of work. What force was used, in newtons?
- 34.🏋️ A 19 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 9 m took 1350 J of work. What force was used, in newtons?
- 37.🏋️ Pushing a crate 3 m took 780 J of work. What force was used, in newtons?
- 38.🏋️ Pushing a crate 6 m took 1320 J of work. What force was used, in newtons?
- 39.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
Answer key
- less effort
- 2
- 1900
- 1170
- 150
- 240
- through a distance
- 330
- 3
- 390
- 60
- joule (J)
- 4
- 330
- 150
- 1410
- 8
- 110
- 700
- 8
- 400
- 300
- 3
- 4
- 900
- 4
- 5
- 1440
- 700
- 250
- 1680
- 200
- 220
- 380
- 4
- 150
- 260
- 220
- 300
- load ÷ effort
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