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Newton's Law of Gravitation

The mass of j...

Question

The mass of juipiter is 1.9 10^27 kg and the mass of sun is 1.9910^30.the mean diastance of Jupiter from sun is 7.8*10^11.
Calculate the gravitaional force which is exerted by the sun on juipiter

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Solution

Given , mass of Jupiter, m₁ = 1.9 X 10²⁷ kg
Mass of sun, m₂ = 1.99 X 10³⁰ kg
Distance between Jupiter and the sun, r = 7.8 X 10¹¹ m
Gravitational force exerted by sun on the Jupiter is given by the formula :
$F = \frac{G m_{1} m_{2}}{r^{2}} . . . . . . . . . . (1) w h e r e G i s a u n i v e r s a l g r a v i t a t i o n a l c o n s \tan t = 6.67 \times 10^{- 11} N m^{2} k g^{- 2}$

Substitute the value of m₁, m₂, r and G in eq. 1 and calculating, we get :
. F = 0.41 X 10²⁴ N

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