Q.38

Expert-verified
Found in: Page 156

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

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

# A 5.0 Kg object initially at rest at the origin is subjected to the time-varying force shown below. What is the object’s velocity at ?

The objects velocity is 4 m/s.

See the step by step solution

## Step 1: Given information

Mass of object at rest

time

## Step 2: Explanation

We know that the expression for velocity is given by

and According to Newton's second law,

where,

f= force, m= mass, a= acceleration

Substituting in we get the formula needed to find the velocity

i.e.

The value can be calculated from the given graph triangular area.

(i.e.,) The area of triangle

Now by Substituting the values in the equation (), we get

The object's velocity is