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Chapter 3: Q. 26P (page 124)

The mass of the Sun is 2脳1030kg. The mass of the Earth is 6脳1024kg.and their center-to-center distance is 1.5脳1011m. Suppose that at some instant the Sun's momentum is zero (it's at rest). Ignoring all effects but that of the Earth, what will the Sun's speed be after one day? (Very small changes in the velocity of a star can be detected using the "Doppler" effect, a change in the frequency of the starlight, which has made it possible to identify the presence of planets in orbit around a star.)

Short Answer

Expert verified

The value of forceF=35.573脳1021N.

Step by step solution

01

Identification of given data

Mass of sunm1=2脳1030kg

Mass of earthm2=6脳1024kg

Distance1.5脳1011m

02

Calculation of the gravitational force

According to the Newton鈥檚 low of gravitation

According to the Newton鈥檚 low of gravitation

F=Gm1m2r2

Where

G 鈥� Gravitational constant

m1- Mass of 1 object

m2-Mass of 2 objects

r-Distance between two object

So after putting the values we get

F=Gm1m2r2F=6.67脳10-11m3/kgs2脳2脳1030脳6脳10241.5脳10112F=35.573脳1021N

Thus, the value of force is F=35.573脳1021N

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