Question

The mass of the earth is 6 x 1022 N , The distance between the earth and the

Sun is 1.5 x 10 11 m . If the gravitational force between the two is 3.5 x 10 22 N,

What is the mass of the Sun ? (Use G = 6.7 x 10 – 11 N m2

/ kg2

.)​

Answer 1

Explanation:

Given that,

Earth of mass M=6×10

24

kg

Gravitational force F=3.5×10

2

N

Distance between earth and sun r=1.5×10

11

m

Mass of the sun = m

Now,

The gravitational force is

F=

r

2

GMm

3.5×10

2

=

(1.5×10

11

)

2

6.67×10

−11

×6×10

24

×m

m=

6.67×10

−11

×6×10

24

3.5×10

2

×1.5×10

11

×1.5×10

11

m=0.1967×10

11

kg

m=1.97×10

10

kg

Hence, the mass of the sun is 1.97×10

10

Kg