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Chapter 6: Q.23 (page 155)

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

Short Answer

Expert verified

The earth acceleration towards sun is5.9脳10-3m/s2

Step by step solution

01

Content Introduction

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

Fg=Gmemsr2

Here meis mass of earth, msmass 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

ae=FGme

Combining the expression of acceleration and expression of gravitational force,

ae=Gmsr2

02

Content Explanation

Substitute the values in the above formed expression

ae=(6.67脳10-11N.m2/kg2)(1.99脳1030kg)(1.50脳1011m)2ae=5.9脳10-3m/s2

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Most popular questions from this chapter

A 2.0kg wood block is launched up a wooden ramp that is inclined at a 30掳angle. The block鈥檚 initial speed is 10m/s.

a. What vertical height does the block reach above its starting point?

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The four balls in FIGURE Q6.9 have been thrown straight up. They have the same size, but different masses. Air resistance is negligible. Rank in order, from largest to smallest, the magnitude of the net force acting on each ball. Some may be equal. Give your answer in the form a>b>c=dand explain your ranking.

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ax=vxdvxdx

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