Question

Calculate the force of gravitation between the earth and the Sun, given that the mass of the earth = 6 × 1024 kg and of the Sun = 2 × 1030 kg. The average distance between the two is 1.5 × 1011 m.

Answer 1

MASS OF SUN = 2×10 ^30 kg
MASS OF EARTH = 6×10^24 kg
Distance =1.5× 10^11 m

SUN ------------------- EARTH
m1 r m2

$f = \frac{gm1m2}{ {r}^{2} } \\ f = \frac{6.67 \times 10 {}^{ - 11} \times 6 \times 10 {}^{24} \times 2 \times 10 {}^{30} }{2.25 \times 10 {}^{22} } \\ f = \frac{6.67 \times 12 \times 10 {}^{43} }{2.25\times 10 {}^{22} } \\ f = \frac{6.67 \times 12 \times 10 {}^{43 - 22} }{2.25} \\ f = \frac{6.67 \times 12 \times 10 {}^{21} }{2.25} \\ f =3.6 \times 10 {}^{21}$

Answer 2

_/\_Hello mate__here is your answer--

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GIVEN:---

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

I hope, this will help you.☺

Thank you______❤

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