In are given the equation(s) used to solve a

Chapter 13, Problem 60P

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QUESTION:

In Problems 59 through 61 you are given the equation(s) used to solve a problem. For each of these, you are to

a. Write a realistic problem for which this is the correct equation(s).

b. Draw a pictorial representation.

c. Finish the solution of the problem.

\(\frac{\left(6.67 \times 10^{-11} \mathrm{Nm}^{2} / \mathrm{kg}^{2}\right)\left(5.98 \times 10^{24} \mathrm{~kg}\right)(1000 \mathrm{~kg})}{r^{2}}\)

                        \(=\frac{(1000 \mathrm{~kg})(1997 \mathrm{~m} / \mathrm{s})^{2}}{r}\)

Equation Transcription:


Text Transcription:

(6.67  times 10^−11 Nm^2/kg^2)(5.98  times 10^24 kg)(1000 kg)/r^2

=(1000 kg)(1997 m/s)^2/r

Questions & Answers

QUESTION:

In Problems 59 through 61 you are given the equation(s) used to solve a problem. For each of these, you are to

a. Write a realistic problem for which this is the correct equation(s).

b. Draw a pictorial representation.

c. Finish the solution of the problem.

\(\frac{\left(6.67 \times 10^{-11} \mathrm{Nm}^{2} / \mathrm{kg}^{2}\right)\left(5.98 \times 10^{24} \mathrm{~kg}\right)(1000 \mathrm{~kg})}{r^{2}}\)

                        \(=\frac{(1000 \mathrm{~kg})(1997 \mathrm{~m} / \mathrm{s})^{2}}{r}\)

Equation Transcription:


Text Transcription:

(6.67  times 10^−11 Nm^2/kg^2)(5.98  times 10^24 kg)(1000 kg)/r^2

=(1000 kg)(1997 m/s)^2/r

ANSWER:

Step 1 of 3 

a)

Here we have to write a realistic problem for the f=given equation.

The equation is,

This equation resembles to a 1000 kg satellite orbiting the earth at a distance of “r”.

Because the mass of the earth is  kg.

The left hand side is a force and the right side is mass times the velocity squared divided by the distance.

We know that,  is the centripetal force.

This is why, it seems like a rocket of mass 1000 kg is moving around earth at a distance of “r” and the speed is 1997 m/s..

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