Potential And Kinetic Energy Worksheet (Page 21 of 29) in pdf

Potential And Kinetic Energy Worksheet Page 21

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Example 3: A 500-newton cart is lifted to a height of 1 meter

using a 10-meter long ramp. You can see that the worker only

9.2

has to use 50 newtons of force to pull the cart. You can figure

the mechanical advantage in either of these two ways:

ramp length

10 meters

= 10

ramp

ramp height

1 meter

Or using the standard formula for mechanical advantage:

output force

500 newtons

MA =

= 10

input force

50 newtons

Lever problems

1. A lever used to lift a heavy box has an input arm of 4 meters and an output arm of 0.8 meters. What is the

mechanical advantage of the lever?

2. What is the mechanical advantage of a lever that has an input arm of 3 meters and an output arm of 2 meters?

A lever with an input arm of 2 meters has a mechanical advantage of 4. What is the output arm’s length?

4. A lever with an output arm of 0.8 meter has a mechanical advantage of 6. What is the length of the input

arm?

5. A rake is held so that its input arm is 0.4 meters and its output arm is 1.0 meters. What is the mechanical

advantage of the rake?

6. A broom with an input arm length of 0.4 meters has a mechanical advantage of 0.5. What is the length of the

output arm?

7. A child’s toy rake is held so that its output arm is 0.75 meters. If the mechanical advantage is 0.33, what is

the input arm length?

Ramp problems

8. A 5-meter ramp lifts objects to a height of 0.75 meters. What is the mechanical advantage of the ramp?

9. A 10-meter long ramp has a mechanical advantage of 5. What is the height of the ramp?

10. A ramp with a mechanical advantage of 8 lifts objects to a height of 1.5 meters. How long is the ramp?

11. A child makes a ramp to push his toy dump truck up to his sandbox. If he uses 5 newtons of force to push the

12-newton truck up the ramp, what is the mechanical advantage of his ramp?

12. A ramp with a mechanical advantage of 6 is used to move a 36-newton load. What input force is needed to

push the load up the ramp?

13. Gina wheels her wheelchair up a ramp using a force of 80 newtons. If the ramp has a mechanical advantage

of 7, what is the output force (in newtons)?

14. Challenge! A mover uses a ramp to pull a 1000-newton cart up to the floor of his truck (0.8 meters high). If

it takes a force of 200 newtons to pull the cart, what is the length of the ramp?

Potential And Kinetic Energy Worksheet Page 21

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