Question

An artificial satellite is moving in a circular orbit of radius 42.250 km (approx). Calculate its linear velocity if takes 24 hour to revolve around earth.?​

Answer 1

Answer:

97200ms⁻¹

Step-by-step explanation:

As the satellite is moving in an orbit,

centripetal force = gravitational force

$Fc = Fg$

$\frac{mv^2}{r} = \frac{GMm}{r^2}$

$v=\sqrt{\frac{GM}{r} }$

where r = radius of the orbit, G = gravitational constant, M = mass of Earth, m = mass of satellite, v = orbital velocity.

G = 6.67 x 10⁻¹¹ m³kg⁻¹s⁻²,  M = 5.97 x 10²⁴ kg, r = 42.250 km or 42250m

$v=\sqrt{\frac{(6.67 X 10^{-11} )( 5.97X10^{24}) }{42250} }$

$v=97081.55\\\\v = 97200 ms^{-1}$

Answer 2

Answer:

97360m/s is my answer