   Chapter 34, Problem 10PE

Chapter
Section
Textbook Problem

(a) What is the approximate force of gravity on a 70−kg person due to the Andromeda galaxy, assuming its total mass is 1013 than of our Sun and acts like a single mass 2 Mly away? (b) What is the ratio of this force to the person's weight? Note that Andromeda is the closest large galaxy.

To determine

(a)

The approximate force of gravity.

Explanation

Given data:

Mass of Andromeda galaxy is M=1013×1.99×1030kg.

Gravitation constant is G=6.67×1011N.m2/kg2.

Mass of person is m=70kg.

Formula used:

The formula for gravitational force is,

F=GMmr2   ......... (1)

Calculation:

Substitute the given value in equation (1).

F=( 6

To determine

(b)

The ratio of this force to person's weight.

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