wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A satellite is to revolve round the earth in a circle of radius 8000 km. With what speed should this satellite be projected into orbit? What will be the time period ? Take g at the surface = 9.8 m/s2 and radius of the earth = 6400km.


A

7.08 km/s, 118 minutes

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

11.08 km/s, 18 minutes

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

8.08 km/s, 111 minutes

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

4.08 km/s, 11 minutes

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

7.08 km/s, 118 minutes


Suppose, the speed of the satellite is v.The acceleration of the satellite is v2r, where r is the radius of the orbit.The force on the satellite is GMmr2 with usual symbols.Using Newton's second law,

GMmr2=mv2r

or, v2=GMr=gR2r=(9.8m/s2)(6400km)2(8000km)

giving v = 7.08 km/s.

The time period is 2πrv=2π(8000km)(7.08km/s)118minutes.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Satellites
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon