Explanation:

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Class 11

>>Physics

>>Gravitation

>>Newton's Law of Gravitation

>>The mass of the earth is 6 × 10^24 kg an

Question

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The mass of the earth is 6×10

24

kg and that of the moon is 7.4×10

22

kg. If the distance between the earth and the moon is 3.84×10

5

km, calculate the force exerted by the earth on the moon. G=6.7×10

−11

N m

2

kg

−2

Medium

Solution

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Verified by Toppr

Given that,

Mass of the Earth m

1

=6×10

24

kg

Mass of the Moon m

2

=7.4×10

22

kg

Distance between the Earth and the Moon d=3.84×10

5

km=3.84×10

8

m

Gravitational Constant G=6.7×10

−11

Nm

2

/kg

2

Now, by using Newton’s law of gravitation

F=

r

2

Gm

1

m

2

F=

(3.84×10

8

)

2

6.7×10

−11

×6×10

24

×7.4×10

22

F=

14.8225×10

16

297.48×10

35

F=20.069×10

19

F=20.1×10

19

N

Explanation:

this is correct answer that first have given