Q.56

Expert-verified
Found in: Page 712

### 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 proton is fired from far away toward the nucleus of an iron atom. Iron is element number , and the diameter of the nucleus is . What initial speed does the proton need to just reach the surface of the nucleus? Assume the nucleus remains at rest.

The initial speed does the proton need to just reach the surface of the nucleus is

See the step by step solution

## Step 1 : Given information and theory used

Given :

Iron is element number :

Diameter of the nucleus is :

Theory used :

We can deduce from the law of conservation of energy that all kinetic energy will be converted to electric potential energy.

As a result,

## Step 2 : Calculating the initial speed that the proton needs to just reach the surface of the nucleus

We get

by substituting

We may express the speed from here as :

We can find the speed to be v2 by substituting our numerical numbers.