If the mass of the Earth is M and the radius is R, what is the gravitational acc

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Question: If the mass of the Earth is M and the radius is R, what is the gravitational acceleration at the surface of the Earth?

Options:

Correct Answer: g = GM/R^2

Solution:

The gravitational acceleration at the surface of the Earth is given by g = GM/R^2.

If the mass of the Earth is M and the radius is R, what is the gravitational acceleration at the surface of the Earth?

If the mass of the Earth is M and the radius is R, what is the gravitational acceleration at the surface of the Earth?

Step 1: Understand that gravitational acceleration is the force of gravity acting on an object at the surface of the Earth.
Step 2: Know that the formula for gravitational acceleration (g) is g = GM/R^2, where G is the gravitational constant, M is the mass of the Earth, and R is the radius of the Earth.
Step 3: Identify the values needed: M (mass of the Earth) and R (radius of the Earth).
Step 4: Plug the values of M and R into the formula g = GM/R^2.
Step 5: Calculate the value of g to find the gravitational acceleration at the surface of the Earth.

Gravitational Acceleration – The acceleration experienced by an object due to the gravitational force exerted by a massive body, calculated using the formula g = GM/R^2.
Newton's Law of Universal Gravitation – The law that states that every point mass attracts every other point mass with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.