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The Mass of Sun is 2 ✕ 1030 Kg and the Mass of Earth is 6 ✕ 1024 Kg. If the Average Distance Between the Sun and the Earth Be 1.5 ✕ 108 Km - CBSE Class 9 - Science

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Question

The mass of sun is 2 ✕ 1030 kg and the mass of earth is 6 ✕ 1024 kg. If the average distance between the sun and the earth be 1.5 ✕ 108 km, calculate the force of gravitation between them.

Solution

F (gravitational force) = ?
G (gravitational constant) = 6.673 × 10−11 Nm2 kg−2
M (mass of sun) = 2×1030 kg
m (mass of earth)= 6×1024  kg
d (average distance between sun and earth) = 1.5×108 km = 1.5 ×108 ×1000 = 1.5×1011m
`F = (GMm)/d^2`
= `(6.673 xx 10^-11 xx 2 xx 10^30 xx 6 xx 10^24)/(1.5 xx 10^11)^2`
= `(6.673 xx 10^-11 xx 2 xx 10^30 xx 6 xx 10^24)/(1.5 xx 1.5 xx 10^22)`  `(10^(24+30-11)=10^43)`
= `(6.673 xx 2 xx 6 xx 10^43)/(1.5 xx 1.5 xx 10^22)`   (`10^(43-22)=10^21`)
= `(6.673 xx 2 xx 6 xx 10^21)/(1.5 xx 1.5)  (10^(43-22)=10^21)`
= `(80.076 xx 10^21)/(1.5 xx 1.5)`
= `35.59 xx 10^21 N = 3.57 xx 10^22 N`
 Answer : Force of gravity = `3.57 xx 10^22` N

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APPEARS IN

 Lakhmir Singh Solution for Science for Class 9 Part 1 Physics (2016 to Current)
Chapter 3: Gravitation
Short Answers | Q: 37 | Page no. 101

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Solution The Mass of Sun is 2 ✕ 1030 Kg and the Mass of Earth is 6 ✕ 1024 Kg. If the Average Distance Between the Sun and the Earth Be 1.5 ✕ 108 Km Concept: Mass and Weight.
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