Question

Calculate the value of acceleration due to gravity on the surface of Moon. Given that, Mass of the earth is approximately 100 times of the mass of the moon, Radius of the moon is approximately one-fourth of the radius of the earth and the value of Gravitational constant (G) is 6.7 x 10-11 Nm2 kg-2​

Answer 1

Explanation:

. The acceleration gained by an object because of gravitational force is called its acceleration due to gravity. The value of acceleration due to gravity is

g

=

9.8

m

s

−

2

.

2. Given, gravitational constant,

G

=

6.7

×

10

−

11

N

m

2

k

g

−

2

,

mass of the moon,

M

=

7.4

×

10

22

k

g

, and

radius of the moon,

R

=

1740

k

m

=

1740

×

10

3

m

Let

g

be the acceleration due to gravity.

We know,

g

=

G

×

M

R

2

g

=

6.7

×

10

−

11

×

7.4

×

10

22

(

1740

×

10

3

)

2

⇒

g

=

1.63

m

s

−

2

Thus, the acceleration due to gravity, g, on the surface of the moon is

1.63

m

s

−

2

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