If the mass of the Earth is M and the radius is R, what is the gravitational acc
Practice Questions
Q1
If the mass of the Earth is M and the radius is R, what is the gravitational acceleration at the surface of the Earth?
g = GM/R^2
g = GMR^2
g = G/R
g = M/R^2
Questions & Step-by-Step Solutions
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.