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Get Full Access to University Physics - 13 Edition - Chapter 13 - Problem 31e
Get Full Access to University Physics - 13 Edition - Chapter 13 - Problem 31e

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# A uniform, solid, 1000.0-kg sphere has a radius of 5.00 m.

ISBN: 9780321675460 31

## Solution for problem 31E Chapter 13

University Physics | 13th Edition

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Problem 31E

A uniform, solid, $$1000.0-\mathrm{kg}$$ sphere has a radius of $$5.00 \mathrm{~m}$$. (a) Find the gravitational force this sphere exerts on a $$2.00-\mathrm{kg}$$ point mass placed at the following distances from the center of the sphere: (i) $$5.01 \mathrm{~m}$$, (ii) $$2.50 \mathrm{~m}$$. (b) Sketch a qualitative graph of the magnitude of the gravitational force this sphere exerts on a point mass $$m$$ as a function of the distance $$r$$ of $$m$$ from the center of the sphere. Include the region from $$r=0$$ to $$r \rightarrow \infty$$.

Step-by-Step Solution:

Step 1 of 3

Introduction :

In this question, we need to force on the point mass at (i) $$5.01 \mathrm{~m}$$ (ii) $$4.99 \mathrm{~m}$$ (iii) $$2.72 \mathrm{~m}$$

In part (b) we need to plot graph of magnitude of gravitational force of sphere exerted on point mass as function of distance from $$\mathrm{r}=0$$ to $$\mathrm{r}=\infty$$

Data given

Mass of spherical shell $$M=1000 \mathrm{~kg}$$

Mass of point mass $$m=2.0 \mathrm{~kg}$$

Radius of shell $$R=5.0 \mathrm{~m}$$

Distances

$$d_{1}=5.01 \mathrm{~m}$$

$$d_{2}=2.50 \mathrm{~m}$$

Step 2 of 3

Step 3 of 3

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