Question

5. Calculate the force of gravitation between the earth and sun, given that the mass of the earth = 6x 1024kg and of the sun-2 x 1030kg. The average distance between the two is 1.5 x 10 m.

Answer 1

As it is given

Mass of Earth = 6 x 10^24 kg
Mass of Sun = 2 x 10^30 kg
Distance between Sun & Earth = 1.5 x 10^11 m
Gravitational Constant = 6.67 x 10^-11 Nm^2kg^-2

Now,

=> g = G x Mm/R^2

Putting all the given values :-

$= > f = \frac{6.67 \times {10}^{ - 11} \times 2 \times {10}^{30} \times 6 \times {10}^{24} }{ ({1.5 \times {10}^{11}) }^{2} }$

$= > f = \frac{6.67 \times 2 \times6 \times {10}^{ - 11} \times {10}^{54} }{1.5 \times {10}^{ 11} \times 1.5 \times {10}^{11} }$

$= > f = \frac{80.04 \times {10}^{43} }{2.25 \times {10}^{22} }$

$= > f \: = \frac{80.04 \times {10}^{43} \times {10}^{ - 22} }{2.25}$

$= > f \: = \frac{80.04 \times {10}^{21} }{2.25}$

$= > f \: = 35.5 \times {10}^{21}$


Hence, Force between Sun and Earth is
=> 35.5 x 10^21 N

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