Q. 64

Expert-verifiedFound in: Page 356

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 10^{7} m

The equation is

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} Nm^{2 }/ kg^{2}

Mass of Earth, Me=5.98 x 10^{24} kgMass of Saturn, Ms =5.68 x 10^{26} kgRadius of earth, Re=6.37 x 10^{6} 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.

The equation given as below

The pictorial representation is as below

The equation is

Solve the given equation for r as below

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