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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

13-14 Newton’s Law of Gravity The gravitational force (in Newton) between two objects with mass m 1 and m 2 (in kg), separated by the distance r (in meters) is given by Newton’s Law of Gravity,

F = G m 1 m 2 r 2

Where, G 6.67428 × 10 11 Nm 2 / kg 2

14 The sun and the earth are 1.50 × 10 11 m apart, with masses 1.9891 × 10 30 kg and 5.972 × 10 24 kg , respectively.

(a) Find the gravitational force between the sun and the earth.

(b) Convert your answer in part(a) from Newton to pounds using the fact that 1 N = 0.225 lb .

To determine

(a)

The gravitational force between the satellites.

Explanation

Given:

The distance between the Sun and Earth is 1.50×1011m.

The mass of the Sun is 1.9891×1030kg.

The mass of the Earth is 5.972×1024kg.

Approach:

The formula for gravitational force is,

F=Gm1m2r2(1)

Here, F is the gravitational force, G is the gravitational constant with value G6.67428×1011Nm2/kg2, m1 and m2 are the masses of the objects and r is the distance between the objects.

The significant figures in a number are one from first nonzero digit to the last nonzero digit when reading from left to right.

When multiplying or dividing, round off the final result so that it has as many as significant digits as in the given values with the fewest number of significant digits.

Calculation:

Substitute 6.67428×1011Nm2/kg2 for G and 1.50×1011m for r, 1

To determine

(b)

To find:

The answer obtained in part (a) in pounds.

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