The Sun has a mass of 1.99x10^30 kg and a radius of 6.96x10^8 m. Calculate the acceleration due to gravity, in meters per second, on the surface of the Sun?

The acceleration due to gravity, in meters per second squared, on the surface of the Sun is .

Given the following data:

Gravitational constant =

To calculate the acceleration due to gravity, in meters per second squared, on the surface of the Sun:

From the law of gravitational force, we have the formula:

Where:

Substituting the given parameters into the formula, we have;

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Explanation:

Mass of the Sun,

The radius of the Sun,

We need to find the acceleration due to gravity on the surface of the Sun. It is given by the formula as follows :

So, the value of acceleration due to gravity on the Sun is .

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .