Question

*4.
The masses of the earth and moon are
6 x 1024 kg and 7.4 x 1022 kg, respectively.
The distance between them is 3.84 x 105 km.
Calculate the gravitational force of
attraction between the two.
Use G=6.7 x 10-11 Nm² kg-2 [2 Marks]​

Answer 1

Explanation:

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