Question

If ‘r’ represents the radius of the orbit of a satellite of mass ‘m’ moving round a planet of

mass ‘M’, the velocity of the satellite is given by​

Answer 1

Answer:

Given,M is mass of planet,m is mass of satellite,r is radius of orbit.

Let, v be velocity of the satellite

Now, for the satellite to revolve in the orbit the centripetal force must be balanced by gravitational force i.e.,

F

c

=F

g

→(1)

we know that,

F

c

=

r

mv

2

and F

g

=GMmr

2

.

Substituting these values in (1),

r

mv

2

=

r

2

GMm

After solving this equation we get

v

2

=

r

GM