The mass of earth is 6-1024kg- the radius of earth is 6-4-106m-and the gravitational constant 6-7-10-11-Nm2-kg2 calculate the value of g

Given, G = 6.7 X 10 11Nm2kg 2 nbsp; nbsp; nbsp; nbsp; nbsp; nbsp;M = 6 nbsp;X 1024 kg nbsp; nbsp; nbsp; nbsp; nbsp; R = 6.4 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Physics

Mass versus Weight

the mass of e...

Question

the mass of earth is 610²⁴kg. the radius of earth is 6.410⁶m,and the gravitational constant 6.7*10^-11.Nm²/kg² calculate the value of g

Open in App

Solution

Given, G = 6.7 X 10^-11Nm²kg^-2
M = 6 X 10²⁴ kg
R = 6.4 X 10⁶ m
using relation :
$g = \frac{G M}{R^{2}} P l u g i n t h e g i v e n v a l u e s i n t h e a b o v e f o r m u l a a n d c a l c u l a t i n g w e g e t : g = 9.81 m / s^{2}$

Suggest Corrections

Similar questions

What is the force of gravity on a body of mass 150 kg lying on the surface of the earth?
(Mass of earth = $6 \times 10^{24}$ kg; Radius of earth = $6.4 \times 10^{6} m; G = 6.7 \times 10^{- 11} N m^{2} / k g^{2}$ )

Calculate acceleration due to gravity at a height of $2000 k m$ above the Earth's surface. Mass of Earth = $6 \times 10^{24} k g$ , radius of Earth = $6.4 \times 10^{6}$ m and (Gravitational constant, G $= 6.7 \times 10^{- 11} N m^{2} k g^{- 2}$ )

Given mass of earth is 6 × $10^{24}$ kg and mean radius of earth is 6.4 × $10^{6}$ m. Calculate the value of acceleration due to gravity (g) on the surface of the earth.

Q. Calculate the gravitational force of earth acting on an object weighting 10kg placed 1000km above the surface of earth.
(Mass of earth

= 6 \times 10^{24} k g

and radius of earth

= 6.4 \times 10^{6} m

)

Q. The velocity with which a body must be thrown vertically upward from the surface of the earth so that it may reach a height of

10 R

, where

R

is the radius of the earth and is equal to

6.4 \times 10^{6} m

is
(Given: Mass of the earth =

6 \times 10^{24} k g

, gravitational constant

G = 6.7 \times 10^{- 11} N m^{2} {k g}^{- 2}

)

Join BYJU'S Learning Program

the mass of earth is 6*1024kg. the radius of earth is 6.4*106m,and the gravitational constant 6.7*10-11.Nm2/kg2 calculate the value of g

Given, G = 6.7 X 10-11Nm2kg-2 M = 6 X 1024 kg R = 6.4 X 106 m using relation : g = G MR2Plugin the given values in the above formula and calculating we get :g = 9.81 m/s2

the mass of earth is 610²⁴kg. the radius of earth is 6.410⁶m,and the gravitational constant 6.7*10^-11.Nm²/kg² calculate the value of g

Given, G = 6.7 X 10^-11Nm²kg^-2
M = 6 X 10²⁴ kg
R = 6.4 X 10⁶ m
using relation :
$g = \frac{G M}{R^{2}} P l u g i n t h e g i v e n v a l u e s i n t h e a b o v e f o r m u l a a n d c a l c u l a t i n g w e g e t : g = 9.81 m / s^{2}$