Question

(10) The mass of the earth is 6 x 1024 kg. The
distance between the earth and the Sun is
1.5 x 1011 m. If the gravitational force between
the two is 3.5 x 1022 N, what is the mass of the
Sun?
(Use G = 6.7 x 10-11 N m2 kg -2)​

Answer 1

Answer:

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