Question

Example 4.1 The mass of the earth is 6 .1024 kg and that of the moon is 7.4 x 1022 kg If the distance between the earth and the moon is 3.84x105 km, calculate the force exerted by the earth on the moon. G = 6.7 x 10–11 Nm²/kg² ​

Answer 1

Answer:

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

Hence, the gravitational force of attraction is 20.1×10

19

N

Explanation:

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