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.
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- 1.🏋️ A 16 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) more effort (d) no effort
- 3.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 4.🏋️ Pushing a crate 10 m took 4500 J of work. What force was used, in newtons?
- 5.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 6.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 7.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A force of 310 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 9.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 10.🏋️ A force of 200 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 11.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ Pushing a crate 8 m took 2640 J of work. What force was used, in newtons?
- 13.🏋️ Pushing a crate 2 m took 380 J of work. What force was used, in newtons?
- 14.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 70 N did 70 J of work. How many metres did the object move?
- 16.🏋️ A force of 20 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 17.🏋️ Pushing a crate 4 m took 40 J of work. What force was used, in newtons?
- 18.🏋️ Pushing a crate 6 m took 960 J of work. What force was used, in newtons?
- 19.🏋️ 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?
- 20.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A force of 400 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 270 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 23.🏋️ 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?
- 24.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 25.🏋️ Pushing a crate 10 m took 100 J of work. What force was used, in newtons?
- 26.🏋️ Pushing a crate 7 m took 1120 J of work. What force was used, in newtons?
- 27.🏋️ 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)
- 28.🏋️ A force of 390 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 250 N did 2000 J of work. How many metres did the object move?
- 30.🏋️ A force of 30 N did 120 J of work. How many metres did the object move?
- 31.🏋️ Pushing a crate 3 m took 60 J of work. What force was used, in newtons?
- 32.🏋️ A force of 480 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 33.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 34.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 36.🏋️ A force of 440 N did 880 J of work. How many metres did the object move?
- 37.🏋️ Pushing a crate 7 m took 1960 J of work. What force was used, in newtons?
- 38.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A 1 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 640
- less effort
- load ÷ effort
- 450
- 6
- 5
- 40
- 930
- joule (J)
- 800
- 400
- 330
- 190
- 50
- 1
- 140
- 10
- 160
- 90
- 1000
- 400
- 810
- 300
- through a distance
- 10
- 160
- 700
- 390
- 8
- 4
- 20
- 960
- 6
- 80
- 6
- 2
- 280
- 150
- 400
- 20
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