Question

The mass of the sun is 2 x 10^30kg and that is 6 x 10^24 kg. If the average distance between the sun and the earth ne 1.5 x 10^8 km calculate the force of gravitation between them g=6.7 x 10^11 nm^2 kg ^-2

Answer 1

_/\_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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Answer 2

Answer:

The force of gravitation between the earth and the sun is  3.57 × $10^{22} N$

Explanation:

Given:

The mass of sun is 2 × $10^{30} kg$

Distance between the sun and the earth is 1.5 × $10^{8} km$

The mass of earth is  6 × $10^{24} kg$

To find: Force of gravitation between the earth and the sun

Solution:

Gravitational force:

The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them, according to Newton's universal law of gravitation.

Gravitational constant G = 6.673 ×$10^{-11} Nm^{2} kg^{-2}$

Mass of sun M = 2 × $10^{30} kg$

Mass of earth m = 6 × $10^{24} kg$

we know that ,

Gravitational force between two objects

F = $\frac{GMm}{d^{2} }$

Distance between the sun and the earth = 1.5 × $10^{8} km$

convert km into m

d = 1.5 × $10^{8} km$ × 1000

d = 1.5 × $10^{11}$ m

F = $\frac{GMm}{d^{2} }$

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

= $(\frac{6.673 * 10^{-11}) * (2 *10^{30} )*(6 * 10 ^{24}) }{(1.5*1.5 * 10^{22})^ }$

= $\frac{(6.673 * 2*6) * 10 ^{43} }{1.5*1.5 * 10^{22}^ }$

= $\frac{(6.673 * 2*6) * 10 ^{21} }{1.5*1.5 }$

= $\frac{(80.076) * 10 ^{21} }{2.25}$

= 35.59 × $10^{21} N$

= 3.57 × $10^{22} N$

Gravitational force G =  3.57 × $10^{22} N$

Final answer

The force of gravitation between the earth and the sun is  3.57 × $10^{22} N$

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