Question

I need to choose a theme for my physics assignment My experiment is finding g

Answer 1

Question:

How to find g (acceleration due to gravity)

Solution:

We know,

Acceleration due to gravity (g)

`= \frac{GM}{ {R}^(2) }`

where, G = Gravitational constant

`= 6.67 * {10}^(11) N {m}^(2)/k {g}^(2) \\`

M = Mass of the earth

`= 6 * {10}^(24) \: kg`

R = Radius of the earth

`= 6.4 * {10}^(6) m`

Putting these values of G, M and R in the above formula, we get

`g \: = \: \frac{6.67 * {10}^(11) N {m}^(2)/k {g}^(2) * \: 6 * {10}^(24) \: kg }{(6.4 * {10}^(6)m {)}^(2) } \\ = 9.8m/ {s}^(2)`

So, the value of acceleration due to gravity is

`9.8m/s ^(2)`

Hope it helps.

Do comment if you have any query.