Q. 64

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Found in: Page 356

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

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

# In Problems 64 through 66 you are given the equation(s) used to solve a problem. For each of these, you are toa. Write a realistic problem for which this is the correct equation(s).b. Draw a pictorial representation.c. Finish the solution of the problem.

a) Find the distance from the center of Saturn where the acceleration due to gravity is the same as on the surface of the Earth?

b) Pictorial representation is as below

c) From the given equation value of r = 6.21 x 107 m

See the step by step solution

The equation is

## Part(a)Step2: Explanation

The equation given as

We can see that calculation of two gravity is equated.

acceleration due to gravity on Earth = acceleration due to gravity on Saturn

The formula used is

Where

G =6.67 x 10-11 Nm2 / kg2
Mass of Earth, Me=5.98 x 1024 kgMass of Saturn, Ms =5.68 x 1026 kgRadius of earth, Re=6.37 x 106 m

So we can find the distance from the center of Saturn where acceleration due to gravity is same as the acceleration due to gravity on the surface of earth.

## Part(b)Step1:  Given information

The equation given as below

## Part(b) Step2: Solution

The pictorial representation is as below

The equation is

## Part(s)Step2: Solution

Solve the given equation for r as below