Question

the mass of the earth is 6×10^24kg and that of the moon is 7.4×10^22kg If the distance between the earth and the mass is 3.84×10^5km. Calculate the force exerted by the earth on the moon.(G=6.7×10^-11 Nm^2kg^-2)​

Answer 1

Hello Dear.

Here is the answer---

Given Conditions ⇒

Mass of the Earth(m₁) = 6 × 10²⁴ kg.

Mass of the Moon(m₂) = 7.4 × 10²² kg.

Distance between the Earth and the Moon(d) = 3.84 × 10⁵ km.

 = 3.84 × 10⁸ m.

Gravitational Constant(G) = 6.7 × 10⁻¹¹ Nm²/kg².

Using the Newton's law of Gravitation,

 F = G × m₁×  m₂ × /d².

F is the Force of Gravitation between the Earth and the Moon.

Substituting the Given Values in the Formula,

∴ F = (6.7 × 10⁻¹¹ × 6 × 10²⁴ × 7.4 × 10²²) ÷ (3.84 × 10⁸)²

⇒ F = (6.7 × 6 × 7.4 × 10¹⁹) ÷ (14.7456)

⇒ F = 20.1741 × 10¹⁹ N.

⇒ F ≈ 20.2 × 10¹⁹ N.

Thus, the Gravitational Force of Attraction between the Earth and the Moon is 20.2 × 10¹⁹ N.

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Answer 2

Explanation:

F=

R

2

GM

e

M

m

F=

(3.84×10

8

)

2

6.7×10

−11

×6×10

24

×7.4×10

22

=

(3.84)

2

×10

16

297.48×10

−11+24+22

=20.17×10

19

=2.017×10

20

N