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 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A 7 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 4.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 5.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 6.🏋️ Pushing a crate 9 m took 1170 J of work. What force was used, in newtons?
- 7.🏋️ A 9 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 force of 10 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 90 N did 630 J of work. How many metres did the object move?
- 10.🏋️ A force of 80 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 410 N did 2050 J of work. How many metres did the object move?
- 12.🏋️ Pushing a crate 2 m took 20 J of work. What force was used, in newtons?
- 13.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 17.🏋️ A force of 460 N did 3680 J of work. How many metres did the object move?
- 18.🏋️ A force of 20 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 360 N did 1080 J of work. How many metres did the object move?
- 20.🏋️ An 8 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 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 400 N did 400 J of work. How many metres did the object move?
- 23.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A force of 440 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 25.🏋️ Pushing a crate 1 m took 50 J of work. What force was used, in newtons?
- 26.🏋️ Pushing a crate 1 m took 220 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 2 m took 300 J of work. What force was used, in newtons?
- 28.🏋️ Pushing a crate 1 m took 310 J of work. What force was used, in newtons?
- 29.🏋️ A force of 130 N did 390 J of work. How many metres did the object move?
- 30.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A 12 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ 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)
- 33.🏋️ A machine lifts a load of 600 N when you push with 150 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 70 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 35.🏋️ A 14 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A force of 140 N did 280 J of work. How many metres did the object move?
- 37.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ Pushing a crate 3 m took 1200 J of work. What force was used, in newtons?
- 39.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 140 N did 700 J of work. How many metres did the object move?
Answer key
- 10
- 280
- load ÷ effort
- through a distance
- joule (J)
- 130
- 90
- 50
- 7
- 320
- 5
- 10
- 550
- 100
- 700
- less effort
- 8
- 80
- 3
- 400
- 5
- 1
- 70
- 1760
- 50
- 220
- 150
- 310
- 3
- 100
- 240
- 550
- 4
- 140
- 280
- 2
- 200
- 400
- 5
- 5
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