Advertisement Remove all ads

What Would Be the Value of ‘G’ on the Surface of the Earth If Its Mass Was Twice and Its Radius Half of What It is Now ? - Science and Technology 1

Answer in Brief

What would be the value of ‘g’ on the surface of the earth if its mass was twice and its radius half of what it is now ?

Advertisement Remove all ads

Solution

`"g" = ("G""M"_e)/("R""e"^2)`

`"g'" = ("G""M")/"R"^2  = ("G"(2"M"_"e"))/("R"_"e"//2)^2`

ATQ,

M =2Me

`"R" =("R""e")/2`

`=(2"G""M"_"e")/(("R""e")^2 // 4)`

`=8("G""M"_"e")/"R"_"e"^2`

= 8 g =8 (9.8) = 78.4 m/s2

Concept: Earth’s Gravitational Acceleration
  Is there an error in this question or solution?
Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×