# 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

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 ?

#### 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
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