   Chapter 7.3, Problem 7.7QQ

Chapter
Section
Textbook Problem

An object moves in a circular path with constant speed v. Which of the following statements is true concerning the object? (a) Its velocity is constant, but its acceleration is changing. (b) Its acceleration is constant, but its velocity is changing. (c) Both its velocity and acceleration are changing. (d) Its velocity and acceleration remain constant.

To determine
Which one of the statement is correct if the object is moving in a circular path with constant speed.

Explanation

Given Info:

Speed of the object in the circular path is v .

Explanation:

When an object is moving in a circular path, the direction of the velocity will be changing constantly. Thus, the velocity of an object which is moving in a circular path with constant sped is not a constant.

When an object is moving in a circular path with constant speed, the centripetal acceleration will always be pointing inwards. Thus, the direction of the object will be continuously changing when the objects moves. Thus, the acceleration of the object is also not constant.

Thus, if an object is moving in a circular path with constant speed, both the velocity and the acceleration of the object will be changing. Thus, option (c) is correct

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