Question

Calculate value of acceleration due to gravity inside earth depth equal to half the radius?​

Answer 1

Answer

g' = 5 m/sec^2

Hence, The value of gravitational acceleration at a depth equal to half of the radius of the earth is 5 m/sec^2.

Answer 2

Answer:

Value of gravitational acceleration at a depth equal to half of the radius of the earth will be:-(Take g=10m/sec^2 at the surface of the earth)

➠ AnSwer :-

➝ Gravitational acceleration:

The acceleration acted on an object that is caused caused by the force of gravitation is called as gravitational acceleration.

It is used to indicate the intensity of a gravitational field.

➝ Given:

g = 10 m/sec^2

➝ To find:

The value of gravitational acceleration at a depth equal to half of the radius of the earth.

➝ Solution:

Consider r to be the radius of the earth.

Then,

Gravitational acceleration at depth d,

→g' = g ( 1 - d/r )

In this context,

The depth equal to half of the radius,

→d = r/2

Hence,

→g' = g ( 1 - r/2/r)

→g' = g * 1/2

That is,

→g' = 10 * 1/2

→g' = 5 m/sec^2

Hence, The value of gravitational acceleration at a depth equal to half of the radius of the earth is 5 m/sec^2.