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Q. 9

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 287

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Short Answer

A object is moving to the right with a speed of when it experiences the force shown in FIGURE EX11.9. What are the object’s speed and direction after the force ends?

The object’s speed and direction after the force ends is to right side.

See the step by step solution

Step by Step Solution

Step 1: Given information   

We need to find that the object’s speed and direction after the force ends.

Step 2: Simplify   

For a short time a object receives a force is known as impulse. it is the area under the curve of the force-versus-time graph and it is the same as momentum. The impulse is the quantity and it is given by equation in the form

In a graph of force versus time the force is in the range of time . the impulse takes the rectangle shape, where length is and width is . The area of the rectangle is the product of the width and the length

Using equation to get impulse

Step 2: Simplify  

The object has mass and moves with speed that has momentum , Vector is a product of object's mass and its velocity.The momentum is given by equation in the form

Initial velocity To get initial momentum of the object using equation and putting values for .

Step 4: Simplify  

The impulse changes its momentum to and it is given by equation in the form

Putting values for in equation to get

To get of the object using equation

The values for putting into equation to get

The direction of the object is right because the velocity is positive.

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