Gravitational field of a point mass (13.3)

What is the equation for gravitational field strength in a radial field?

g = GM/r²

Where g is gravitational field strength (Nkg^-1)

Where G is the gravitational constant (Nm^-2kg^-2)

Where M is the mass of the body producing the field (kg)

Where r is the distance between the point mass of the body and the point of space (m)

How can the equation for gravitational field strength in a radial field be derived?

F = GMm/r²

g = F/m

F = gm

gm = GMm/r²

g = GM/r²

Why is g approximately constant for small changes in height near the Earth’s surface?

The change in height is negligible compared to the radius of Earth

1

1