Question

. Calculate the force of gravitation between the earth and the
Sun, given that the mass of the earth = 6 x 1024 kg and of the
Sun = 2 x 10^30 kg. The average distance between the two is
1.5 x 10^11​

Answer 1

Explanation:

ANSWER

Given : Mass of earth m=6×10

24

kg

Mass of Sun M=2×10

30

kg

Distance between sun and earth r=1.5×10

11

m

Force of gravitation between them F=

r

2

GMm

F=

(1.5×10

11

)

2

6.67×10

−11

×(6×10

24

)×(2×10

30

)

=3.557×10

22

N

Answer 2

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We know that / -

$F = \frac{m1 \times m2}{ {r}^{2} }$

• Where , G ( Gravitational Constant )

$= 6.7 \times {10}^{ - 11} {Nm}^{2} / {Kg}^{2}$

• M1 = Mass of earth .
• M2 = Mass of Sun .
• r = Distance between them .

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Now , Here

• M1 = 6 × 10 ²⁴
• M2 = 2 × 10 ³⁰
• r = 1.5 × 10 ¹¹

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Now , Putting values and calculating / -

$F = \frac{m1 \times m2}{ {r}^{2} }$

or ,

$F = \frac{ {6.7 \times 10}^{ - 11} \times {6 \times 10}^{24} \times {2 \times 10}^{30} }{ {( {1.5 \times 10}^{11}) }^{2} }$

or ,

$F = {3.577 \times 10}^{22} \: N$

Hence , the force of gravitation between the Earth and the Sun is 3.577 × 10²² Newton .

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