Explain with diagram the variation of the acceleration due to gravity (g)

Question

i) At a height h above the earth surface
Inside the earth towards the centre of the earth.

ii) What is the value of g at the centre of the earth.

2)Explain with example the term, damped harmonic motion

3)Explain Range of a projectile with figure.

thanks.

Answer 1

i) Above the earth's surface, g is inversely proportional to the square of the distance form the center. Inside the earth, it is proportional to the mass of the spherical volume below that radial distance, and inversely proportional to the square of distance from the cetnter. It will depend upon how the density varies with distance. If you assume constant density (which is not true), the value of g is proportional to distance from the cetner of the earth.

The value of g at the center of the earth is 0.

For the other two questions, I suggest you do you own Google search, in order to get some pictures.