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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 2.1, Problem 75E

(a)

To determine

The length of object when the velocity of the object is

Expert Solution

The length of object when the velocity of the object is

**Given:**

The length of the object is a function of its velocity and the length of the object at rest is

The length of the object at velocity

**Calculation:**

The length of the object at velocity

Substitute

Substitute

Substitute

Thus, the length of object when the velocity of the object is

(b)

To determine

The variation of length of object according to the increase in velocity.

Expert Solution

The length of the object decreases as the velocity of object increases.

**Given:**

The length of the object is a function of its velocity and the length of the object at rest is

The length of the object at velocity

**Calculation:**

The length of the object at velocity

If the velocity of object increase then the term

Thus, as the velocity increases the length of the object decreases.