JEE WhatsApp Group
Sign in
Please select an account to continue using cracku.in
↓ →
JEE WhatsApp Group
Join Our JEE Preparation Group
Prep with like-minded aspirants; Get access to free daily tests and study material.
The acceleration due to gravity at height $$h$$ above the earth if $$h \ll R$$ (Radius of earth) is given by
$$g' = \frac{GM}{(R+h)^2} = \frac{GM}{R^2\left(1 + \frac{h}{R}\right)^2} = g\left(1 + \frac{h}{R}\right)^{-2}$$
$$\text{Applying the Binomial Theorem for } \frac{h}{R} \ll 1: \left(1 + \frac{h}{R}\right)^{-2} \approx 1 - \frac{2h}{R}$$
$$g' = g\left(1 - \frac{2h}{R}\right)$$
Create a FREE account and get:
Educational materials for JEE preparation
Ask our AI anything
AI can make mistakes. Please verify important information.
AI can make mistakes. Please verify important information.
