Question

At what distance above the surface of the earth is the acceleration due to the earth's gravity 0.855 m/s2 if the acceleration due to gravity at the surface has magnitude 9.80m/s2?

Answer 1

To calculate the distance above the surface of the earth where the acceleration due to gravity is 0.855 m/s², we can use the formula for acceleration due to gravity at a certain distance above the surface.

Step-by-step explanation:

The acceleration due to gravity at a certain distance above the surface of the earth can be calculated using the formula for acceleration due to gravity.

The formula is given by:

g' = (g * R^2) / (R + h)^2

Where g' is the acceleration due to gravity at the distance above the surface, g is the acceleration due to gravity at the surface (9.80 m/s² in this case), R is the radius of the earth (in this case, the average radius of the earth) and h is the distance above the surface of the earth.

By substituting the given values into the formula, we can find the distance above the surface where the acceleration due to gravity is 0.855 m/s².