Question

7. A planet is moving around the sun with mean distance 'r' and time period 'T', then​

Answer 1

For a planet moving around the sun the value of KGM is equal to KGM = 4π^2 .

Explanation:

• The gravitational force for the planet orbital circular motion is
• GMm / r^2 = mv^2 / r
• v = √GM / r
• Now the time period will be
• T =  2πr / v

Now taking the square of both sides

T^2 = 4π^2r^3 / GM

Compare it with the given equation T^2 = Kr^3

K = 4π^2 / GM

KGM = 4π^2

For a planet moving around the sun the value of KGM is equal to KGM = 4π^2

Answer 2

Answer:

For a planet moving around the sun the value of KGM is equal to KGM = 4π^2 .

Explanation:

The gravitational force for the planet orbital circular motion is

GMm / r^2 = mv^2 / r

v = √GM / r

Now the time period will be

T =  2πr / v

Now taking the square of both sides

T^2 = 4π^2r^3 / GM

Compare it with the given equation T^2 = Kr^3

K = 4π^2 / GM

KGM = 4π^2

For a planet moving around the sun the value of KGM is equal to KGM = 4π^2