Question

If the height of the orbit of a satellite increases, its velocity must also increase. State with reasons whether the sentence are true or false.

Answer 1

false. because velocity is indirectly proportional to square root of R+H
where R is radius of the earth and H is the distance of the orbit from the surface of the earth.

Answer 2

Answer:

The statement is false

Explanation:

we know that when object performing a circular motion it experience a centripetal force which is given by

$F = m\frac{v^{2}}{r}$........................(1)

where m = mass of the satellite, r = distance from the centre of earth to the orbit = R+H,R=radius of earth , H=height of the satellite from the surface of the earth.

we know that there is a force of attraction between earth and satellite

$F = \frac{GMm}{r^{2} }$.....................(2)

M = mass of the earth

using (1) and (2) we get,

So, $v = \sqrt{\frac{GM}{R+H} }$

From the above relation velocity is inversely proportional to the height.

So, if height increases then velocity decreases.