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Q. 36

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Found in: Page 129

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# Problems 35 through 40 show a free-body diagram. For each:a. Identify the direction of the acceleration vector au and show it as a vector next to your diagram. Or, if appropriate, write b. If possible, identify the direction of the velocity vector and show it as a labeled vector.c. Write a short description of a real object for which this is thecorrect free-body diagram. Use Examples 5.4, 5.5, and 5.6 asmodels of what a description should be like.

Free-body diagram of an object such as bullock cart is given here that is been dragged along negative x-axis.

See the step by step solution

## Part a Step 1: Identifying the acceleration vector

According to the given diagram, there is a non-zero net force along negative x-axis. So, the direction of acceleration vector should be directed from left to right.

## Step 2: Labelling the acceleration vector

The acceleration vector is shown in the given diagram:

## Part b Step 1: Identifying the velocity vector

• The free-body diagram shows, there is a kinetic friction that is working on the object that indicates there must be a non-zero velocity.
• The net force is along right to left concludes that the velocity vector should be directed towards negative x-axis.

## Step 2: Labelling the velocity vector

The velocity vector is labelled in the free body diagram given below:

## Part c Step 1: Explanation of the body diagram

• According to the given body diagram, the normal force and gravitational force acting on the object are equal and directed in opposite directions.
• Therefore, the object should be in balanced condition in vertical direction or lies in a horizontal surface.
• The object is being pulled to the left with a nonzero net force, so it is accelerating to the left.
• A kinetic friction force is acting along positive x-axis. So, there is a nonzero velocity of the object along negative x-axis where a net force is directed along.

## Step 2: Description of a real object

The free-body diagram states that an object for example a bullock cart is been pulled out through a muddy road. So, there is a tension force by the rope with which the cart is dragged out acts on the cart and the cart is accelerating from right to left.