Question

Calculate the value ‘g’, acceleration due to gravity.

Answer 1

Answer:

➡ Refer to the attachment

Answer 2

Gravitational Acceleration on Earth :

The gravitational force between an object and earth is:

$F = \dfrac{GMm}{ {r}^{2} }$

• Now, the acceleration due to gravity will be:

$\implies \: g = \dfrac{F}{m}$

$\implies \: g = \dfrac{ \dfrac{GMm}{ {r}^{2} }}{m}$

$\implies \: g = \dfrac{GM}{ {r}^{2}}$

• For earth , M = 6 × 10²⁴ kg , r = 6400 km and G = 6.67 × 10^(-11) .

Putting values in SI UNIT :

$\implies \: g = \dfrac{6.67 \times {10}^{ - 11} \times 6 \times {10}^{24} }{ {(6.4 \times {10}^{6} )}^{2}}$

$\implies \: g = 9.8 \: m {s}^{ - 2}$

So, gravity on earth surface is 9.8 m/s².