Question

Problems 35 through 40 show a free-body diagram. For each:

a. Identify the direction of the acceleration vector 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 the

correct free-body diagram. Use Examples 5.4, 5.5, and 5.6 as

models of what a description should be like.

Short answer

Free-body diagram of an object moving in an inclined plane along upward direction is given here.

Step-by-step solution

Part a Step 1: Direction of acceleration

According to the given free-body diagram, the object should be lied in an inclined plane. The net force is directed down the surface, so the acceleration should be along down the surface.

Labelling the acceleration vector

The acceleration vector is marked in the given diagram:

Part b Step 1: Identification of the velocity vector

According to the given diagram, the net force includes kinetic frictional force and a component of the gravitational force. Now, the kinetic frictional force is pointing down the slope, so the object must be moving upward. Thus, the velocity vector should be marked upward.

Pointing the velocity vector

The velocity vector $\overrightarrow{v}$is marked in the following diagram:

Part c Step 1: Description of a real object

The object lies in an inclined plane according to the free-body diagram. The kinetic frictional force ${\overrightarrow{f}}_k$is pointing down the slope, so the object must be moving upward. The object can be a car which is skidding up in a road having embankment.