   Chapter 11, Problem 84CP ### University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185

#### Solutions ### University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185
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 that of our Sun and acts like a single mass 0.613 Mpc 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)

To show:

Approximate force of gravity on a 70 kg person due to the Andromeda Galaxy that is 1013 times the size of the sun and 0.613 Mpc away.

Explanation

Given:

Mass of Andromeda galaxy ( M ) = 1013×1.99×1030 kg

Mass of the person ( m ) = 70 kg

Distance of Andromeda galaxy from earth ( r ) = 0.613 Mpc = 0.613×3.086×1022 m

Formula used:

The force of gravitation between two objects is given by,

F=GMmr2 where G is the universal Gravitational constant.

Calculation:

Force of Gravitation is given by,

F=GMmr2

We know that G=6.67×1011 Nm2/kg2

To determine

(b)

The ratio of the gravitational force from section (a) to the person's weight.

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