If the mass of the Earth is M and the radius is R, what is the gravitational acceleration at the surface of the Earth?
Practice Questions
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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
The gravitational acceleration at the surface of the Earth is given by g = GM/R^2.
Questions & Step-by-step Solutions
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Q
Q: If the mass of the Earth is M and the radius is R, what is the gravitational acceleration at the surface of the Earth?
Solution: The gravitational acceleration at the surface of the Earth is given by g = GM/R^2.
Steps: 5
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.