Question

usldl
6. 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 1030 kg. The average distance between the two is
1.5 x 1011 m.​

Answer 1

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

Answer:

M1 = Mass of the Sun = 2 × 10^30 kg

M2 = Mass of the Earth = 6 × 10^24 kg

R = Average distance between the Earth and the Sun = 1.5 × 10^11 m

G = 6.7 × 10^−11 Nm^2 kg^−2

According to the universal law of gravitational,

F = G× M1 × M2/ r^2

(Put the values of all quantities, we get)

=6.7×10^−11×2×10^30×6×10^24/(1.5×10^11)^2

= 3.57 × 10^22 N

Hence, the force of gravitation between the Earth and the Sun is

3.57 × 10^22 N