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 430 N did 3440 J of work. How many metres did the object move?
- 2.🏋️ A force of 410 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 3.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 4.🏋️ A force of 270 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 5.🏋️ A 17 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A force of 30 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 460 N did 3680 J of work. How many metres did the object move?
- 8.🏋️ A force of 120 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 9.🏋️ 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?
- 10.🏋️ A force of 120 N did 120 J of work. How many metres did the object move?
- 11.🏋️ A 13 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 130 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 14.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ Pushing a crate 10 m took 600 J of work. What force was used, in newtons?
- 16.🏋️ A machine lifts a load of 350 N when you push with 70 N. What is its mechanical advantage (MA)?
- 17.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) metre (m) (d) newton (N)
- 18.🏋️ A force of 70 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 19.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 20.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 21.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 150 N did 1350 J of work. How many metres did the object move?
- 23.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 24.🏋️ A 12 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A force of 280 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 26.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 28.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) less effort (d) more effort
- 29.🏋️ A force of 70 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 330 N did 2310 J of work. How many metres did the object move?
- 31.🏋️ A force of 160 N did 480 J of work. How many metres did the object move?
- 32.🏋️ 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)
- 33.🏋️ Pushing a crate 1 m took 250 J of work. What force was used, in newtons?
- 34.🏋️ A force of 260 N did 520 J of work. How many metres did the object move?
- 35.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ Pushing a crate 2 m took 900 J of work. What force was used, in newtons?
- 37.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A force of 160 N did 960 J of work. How many metres did the object move?
- 39.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
Answer key
- 8
- 2870
- through a distance
- 1620
- 510
- 240
- 8
- 120
- 90
- 1
- 520
- 3
- 130
- 80
- 60
- 5
- joule (J)
- 70
- load ÷ effort
- 4
- 2
- 9
- 3
- 360
- 1120
- 120
- 6
- less effort
- 210
- 7
- 3
- 700
- 250
- 2
- 350
- 450
- 1000
- 6
- 100
- 6
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