Question

Q-9 What is Acceleration due to Gravity? Explain formula of relation between and
find the value of g.​

Answer 1

Explanation:

Acceleration due to gravity is the acceleration gained by an object due to gravitational force. Its SI unit is m/s2. It has both magnitude and direction, hence, it’s a vector quantity. Acceleration due to gravity is represented by g. The standard value of g on the surface of the earth at sea level is 9.8 m/s2.

Gravitation attraction force, F=

r

2

GMm

Gravitational constant, G=6.67×10

−11

m

3

kg

−1

s

−2

Mass of earth, M

e

=5.92×10

24

kg

Mass of object, m

Radius of earth, R

e

=6.37×10

6

m

Gravitation force = weight of body

r

2

GMm

=mg

g=

r

2

GM

Hence the relation is g=

r

2

GM

The acceleration due to gravity on Earth or the value of g on Earth is 9.8 m/s2. Which implies that, on Earth, the velocity of an object under free fall will increase by 9.8 every second. This acceleration is due to the Earth’s gravity

Answer 2

Acceleration due to gravity is the acceleration gained by an object due to gravitational force. Its SI unit is m/s2. It has both magnitude and direction, hence, it's a vector quantity. Acceleration due to gravity is represented by g. The standard value of g on the surface of the earth at sea level is 9.8 m/s2.