Chapter 6: Q.23 (page 155)

The earth is $1.50 \times 10^{11} m$ from the sun. The earth’s mass is $5.98 \times 10^{24} k g$ , while the mass of the sun is $1.99 \times 10^{30} k g$ . What is earth’s acceleration toward the sun?

Short Answer

Expert verified

The earth acceleration towards sun is $5.9 \times 10^{- 3} m / s^{2}$

Step by step solution

Content Introduction

For Newton's gravity law, the expression of gravitational force is

$F_{g} = \frac{G m_{e} m_{s}}{r^{2}}$

Here $m_{e}$ is mass of earth, $m_{s}$ mass of sun, G is universal gravitational constant and r is the distance between sun and earth.

The net force acting between sun and earth is equal to gravitational force.

Therefore, from Newton's second law of motion

$a_{e} = \frac{F_{G}}{m_{e}}$

Combining the expression of acceleration and expression of gravitational force,

$a_{e} = \frac{G m_{s}}{r^{2}}$

Content Explanation

Substitute the values in the above formed expression

$a_{e} = \frac{(6.67 \times 10^{- 11} N . m^{2} / k g^{2}) (1.99 \times 10^{30} k g)}{{(1.50 \times 10^{11} m)}^{2}} a_{e} = 5.9 \times 10^{- 3} m / s^{2}$

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The earth is $1.50 \times 10^{11} m$ from the sun. The earth’s mass is $5.98 \times 10^{24} k g$ , while the mass of the sun is $1.99 \times 10^{30} k g$ . What is earth’s acceleration toward the sun?

Short Answer

Step by step solution

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The earth is 1.50×1011mfrom the sun. The earth’s mass is 5.98×1024kg, while the mass of the sun is 1.99×1030kg. What is earth’s acceleration toward the sun?

Short Answer

Step by step solution

Content Introduction

Content Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Magnetism

Electromagnetism

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Study anywhere. Anytime. Across all devices.

The earth is $1.50 \times 10^{11} m$ from the sun. The earth’s mass is $5.98 \times 10^{24} k g$ , while the mass of the sun is $1.99 \times 10^{30} k g$ . What is earth’s acceleration toward the sun?