Question

Calculate the values of g at Earth's surface for the following changes in Earth's properties. a. its mass is tripled and its radius is halved g= m/s^2 b. its mass density is doubled and its radius is unchanged g= m/s^2 c. its mass density is doubled and its mass is unchanged. g= m/s^2

Answer 1

The acceleration due to gravity at Earth's surface can be calculated using the equation g = G * (M/R^2). To find the new values of g for the given changes in Earth's properties, you can use the formulas derived using the equation.

Step-by-step explanation:

The acceleration due to gravity, g, at Earth's surface can be calculated using the equation:

g = G * (M/R^2)

a. If the mass of Earth is tripled and the radius is halved, the new value of g would be:

g = (3M)/(0.5R)^2

b. If the mass density is doubled and the radius is unchanged, the new value of g would be:

g = (2M)/(R^2)

c. If the mass density is doubled and the mass is unchanged, the new value of g would be:

g = (M)/(R^2)