Question

As it rises above the earth's surface, its value increases. true or false​

Answer 1

Answer:

false it can't increase its value

Answer 2

Correct Question:

As it rises above the earth's surface, its value of gravity increases. True or False?

Solution:

• The statement is false.

• With increase in height from the earth surface, the value of Gravitational Acceleration decreases.

Mathematical Proof:

$\rm\therefore \: g2 = \dfrac{Gm}{ {(r + h)}^{2} }$

• 'h' is the height above earth.

$\rm\implies\: g2 = \dfrac{Gm}{ {r}^{2} {(1 + \frac{h}{r} )}^{2} }$

$\rm\implies\: g2 = \dfrac{g}{ {(1 + \frac{h}{r} )}^{2} }$

$\rm\implies\: g2 = g{ \bigg( 1 + \dfrac{h}{r} \bigg) }^{ - 2}$

$\rm\implies\: g2 < g$

[Hence Proved]