Question

Write the expression of acceleration due to gravity of a body of mass m on a planet of

mass M. In which direction does It act?​

Answer 1

Answer:

g=GM/(R)²=(9.8) m/s

Explanation:

G=GRAVITATIONAL CONSTANT

M=MASS OF EARTH

R=RADIUS OF EARTH .

It acts in the downward direction

Answer 2

The acceleration gained by an object owing to gravitational force is known as acceleration due to gravity. The SI unit for it is m/s2. It is a vector quantity since it has both magnitude and direction. The acceleration owing to gravity is denoted by the letter g.

Gravitation, or simply gravity, is the force that attracts two bodies together. All things in the cosmos attract each other with a certain degree of force, but due to the vast distances between them, the force is too faint to be noticed in most circumstances. Furthermore, while gravity's range is limitless, the influence weakens as things travel further away.

Mathematically, to calculate the acceleration due to gravity,

Let us calculate the force between m and M.

∴ According to Newton's Law of gravitation,

F = G $\frac{m M }{R^{2} }$

Force is given by mass times acceleration,

∴ m×a = G $\frac{m M }{R^{2} }$

∴ a = G $\frac{M}{R^2}$

here, a is acceleration due to gravity of the planet of mass M and R is the radius of the planet of mass m.

∴ Acceleration due to gravity = g = G $\frac{M}{R^2}$