Chapter 16.2, Problem 43E

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

The position of an object with mass *m* at time *t* is **r**(*t*) *= at*^{2} **i** *+ bt ^{3}*

(a) What is the force acting on the object at time *t*?

(b) What is the work done by the force during the time interval 0 ⩽ *t* ⩽ 1?

**(a)**

To determine

**To find:** The force acting on the object at time

Explanation

**Given data:**

The position of an object with mass

**Formula used:**

Write the expression to find the force vector.

Here,

Write the expression to find acceleration vector of the object.

Here,

Write the expression to find velocity vector of the object.

Here,

**Calculation of**
**:**

Substitute

**(b)**

To determine

**To find:** The work done by the force on the object during the time interval

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