Question

Calculate weight of earth using suitable identities ( 1 Marker ) ​

Answer 1

Answer:

Given that,

Mass of earth = M

Gravitational force constant = G

Acceleration due to gravity = g

Radius of earth = R

Now, from Newton’s law of gravitation

F=

R

E

2

GmM

mg=

R

E

2

GmM

M=

G

gR

E

2

Hence, the mass of the earth by using the formula is

G

gR

E

2

Answer 2

Given that,

Mass of earth = M

Gravitational force constant = G

Acceleration due to gravity = g

Radius of earth = R

Now, from Newton’s law of gravitation

F=

R

E

2

​

GmM

​

mg=

R

E

2

​

GmM

​

M=

G

gR

E

2

​

​

Hence, the mass of the earth by using the formula is

G

gR

E

2

​

​