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Chapter 1: 43P (page 1)

Question: Suppose that the radius of the Sun was increased to 5.9010 12m (the average radius of the orbit of Pluto), that the density of this expanded Sun were uniform, and that the planets revolved within this tenuous object. (a) Calculate Earth’s orbital speed in this new configuration. (b) What is the ratio of the orbital speed calculated in (a) to Earth’s present orbital speed of 29.8 km/s? Assume that the radius of Earth’s orbit remains unchanged. (c) What would be Earth’s new period of revolution? (The Sun’s mass remains unchanged).

Short Answer

Expert verified

a.121m/s
b.0.00406
c. 248 y

Step by step solution

01

Given Information

The new radius of the sun (R) =5.90×1012m

02

concept of interstellar space and excitation space

Here, sun is affected by the gravitational force upto the distance from the centre of sun to centre of the earth, say r

So

Mass of the Sun up to radius r

03

calculations

(a)

Total mass of sun in extended radius R.

M=43m3·P

β=Ms437RS3

M=rR3M8

So, this mass(M/) affect the earth

To find the speed of the earth, set centripetal for to gravitational force

Fc=Fg

(b)

Now the ratio of speeds,

yv0=12129.88×103

=0.0406

(c)

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Most popular questions from this chapter

The corn–hog ratio is a financial term used in the pig market and presumably is related to the cost of feeding a pig until it is large enough for market. It is defined as the ratio of the market price of a pig with a mass of 3.108 slugs to the market price of a U.S. bushel of corn. (The word “slug” is derived from an old German word that means “to hit”; we have the same meaning for “slug” as a verb in modern English.) A U.S. bushel is equal to 35.238 L. If the corn–hog ratio is listed as 5.7 on the market exchange, what is it in the metric units of,

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