Question

Calculate the force of gravitation between
the earth and the sun. Given that the
mass of earth = 6x 10^24 kg and of sun
2x 10^30 kg. the average distance between
the two is 1.5x 10^11
m
​

Answer 1

Answer:

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

${\huge{\boxed{\mathcal{\red{Answer}}}}}$

$3.557 \times {10}^{22} n$

${\huge{\boxed{\mathcal{\red{Explanation}}}}}$

It is given that :

Mass of earth =

$6 \times {10}^{24} kg$

Mass of sun=

$2 \times {10}^{30} kg$

Distance between them =

$1.5 \times {10}^{11} m$

______________________________________

Now according to universal law of gravitation :

Force of attraction between two bodies is directly proportional to product of their masses and inversely proportional to square of distance between them. Mathematically it is represented by the equation :

$f \: = G \frac{Mm}{ {d}^{2} }$

In this equation :

• F = force of gravitationbetween bodies
• G = Gravitational constant
• M = mass of first body
• m = mass of second body
• d = distance between bodies

Now after inputting the values in this equation we get :

$f = \frac{6.673 \times {10}^{ - 11} \times 6 \times {10}^{24}kg \times 2 \times {10}^{30} kg }{ {(1.5 \times {10}^{11} )}^{2} }$

After solving it... We get :

$f = 3.557 \times {10}^{22} n$

Thus the force of gravitation between sun and earth is 3.557 × 10^22N.

______________________________________

BY SCIVIBHANSHU

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