Question

an artificial satellite is going around earth, close to it's surface. calculate time taken by it to complete one round. ( radius of earth = 6400km , g=9.8

Answer 1

gravitational force is balanced by centripetal force.

⇒mv²/R = mg

⇒v² = gR

⇒v = √gR

now, time taken to complete one round , t = distance travelled/speed of satellite

= 2πR/√gR

= 2π√{R/g}

= 2 × 3.14 × √{6400 × 10³/9.8}

= 2 × 3.14 × 80 × √{1000/9.8}

= 2 × 3.14 × 80 × 10.10

= 5,074.24s

= 5074.24/60 min

= 84.57 min

hence, 84.57 min time taken by artificial satellite to complete one round.

Answer 2

Explanation:

hope it is usefull