Question

Mass and radius of earth is M and R respectively. A planet has mass 4M and radius 2R .Calculate the acceleration due to gravity for the planet if 'g' on earth is 9.8m/s^2​

Answer 1

SolutioN :

For Earth

• Mass = M
• Radius = R

Let us consider an object of mass m, on the surface of the earth. So, by using for acceleration due to gravity we get,

⇒ g1 = GMm/R²

⇒ Where, g1 = 9.8

_______________________

For Another planet

• Mass = 4M
• Radius = 2R

Similarly here, consider the same object of the mass m.

⇒ g2 = G(4M)m/(2R)²

⇒ g2 = 4GMm/4R²

⇒ g2 = GMm/R²

⇒ g2 = g1

⇒ g2 = 9.8 m/s²

• Acceleration due to gravity on that planet is same that of earth i.e., 9.8 m/s²

Answer 2

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