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) less effort (b) no effort (c) the same effort (d) more effort
- 2.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) only upwards (d) through a distance
- 3.🏋️ A force of 50 N did 150 J of work. How many metres did the object move?
- 4.🏋️ A force of 380 N did 1140 J of work. How many metres did the object move?
- 5.🏋️ A force of 30 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 6.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 7.🏋️ 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?
- 8.🏋️ A 17 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 410 N did 820 J of work. How many metres did the object move?
- 12.🏋️ A force of 270 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 13.🏋️ Pushing a crate 10 m took 1800 J of work. What force was used, in newtons?
- 14.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 15.🏋️ 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)
- 16.🏋️ Pushing a crate 8 m took 960 J of work. What force was used, in newtons?
- 17.🏋️ A force of 10 N did 20 J of work. How many metres did the object move?
- 18.🏋️ A force of 30 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 160 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 20.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 21.🏋️ Pushing a crate 2 m took 680 J of work. What force was used, in newtons?
- 22.🏋️ A force of 130 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 23.🏋️ Pushing a crate 10 m took 100 J of work. What force was used, in newtons?
- 24.🏋️ A force of 50 N did 450 J of work. How many metres did the object move?
- 25.🏋️ A force of 390 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 26.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 460 N did 4140 J of work. How many metres did the object move?
- 29.🏋️ Pushing a crate 5 m took 100 J of work. What force was used, in newtons?
- 30.🏋️ Pushing a crate 10 m took 800 J of work. What force was used, in newtons?
- 31.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 32.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 33.🏋️ Pushing a crate 7 m took 3010 J of work. What force was used, in newtons?
- 34.🏋️ Pushing a crate 2 m took 560 J of work. What force was used, in newtons?
- 35.🏋️ A force of 310 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 36.🏋️ A 15 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ Pushing a crate 10 m took 2800 J of work. What force was used, in newtons?
- 38.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ Pushing a crate 9 m took 1260 J of work. What force was used, in newtons?
- 40.🏋️ A force of 190 N pushes a cart 3 m along the floor. How much work is done, in joules?
Answer key
- less effort
- through a distance
- 3
- 3
- 60
- joule (J)
- 150
- 850
- 400
- 2
- 2
- 1080
- 180
- 4
- 950
- 120
- 2
- 300
- 960
- load ÷ effort
- 340
- 1040
- 10
- 9
- 1950
- 150
- 700
- 9
- 20
- 80
- 2
- 4
- 430
- 280
- 1240
- 450
- 280
- 100
- 140
- 570
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