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.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) load + effort (d) effort ÷ load
- 2.🏋️ A force of 410 N did 820 J of work. How many metres did the object move?
- 3.🏋️ A force of 240 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 490 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 5.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 6.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 7.🏋️ A force of 400 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 8.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 9.🏋️ Pushing a crate 4 m took 2000 J of work. What force was used, in newtons?
- 10.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 130 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 12.🏋️ Pushing a crate 10 m took 1100 J of work. What force was used, in newtons?
- 13.🏋️ A force of 80 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 14.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 360 N did 1800 J of work. How many metres did the object move?
- 16.🏋️ A force of 430 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 17.🏋️ 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)
- 18.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 19.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A force of 250 N did 2500 J of work. How many metres did the object move?
- 21.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A force of 180 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 40 N did 240 J of work. How many metres did the object move?
- 24.🏋️ Pushing a crate 5 m took 400 J of work. What force was used, in newtons?
- 25.🏋️ 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?
- 26.🏋️ A force of 150 N did 600 J of work. How many metres did the object move?
- 27.🏋️ A force of 180 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 140 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 29.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 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.🏋️ A force of 10 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 10 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 35.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ Pushing a crate 8 m took 3760 J of work. What force was used, in newtons?
- 37.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 38.🏋️ A force of 350 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 39.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A 4 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- load ÷ effort
- 2
- 960
- 4410
- through a distance
- 2
- 800
- 4
- 500
- 3
- 780
- 110
- 400
- 1000
- 5
- 860
- 250
- 5
- 50
- 10
- 950
- 360
- 6
- 80
- 80
- 4
- 180
- 280
- 300
- 50
- 550
- 200
- 30
- 90
- 650
- 470
- 6
- 3500
- 500
- 200
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