MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Aditya Nijampurkar Grade: 12
        An artificial satellite (of mass m) of the earth (radius R and mass M) moves in an orbit whose radius in n times the radius of the earth. Assuming resistance to the motion to be proportional to e square velocity, that is, F=av^2 , find how long the satellite will take to fall onn to the earth.
7 years ago

Answers : (1)

AskiitiansExpert Abhinav Batra
25 Points
										

Dear Aditya


initial radiusof the orbit of satellite is nR


here the gravitation pull of the earth provides the necessary centripital force


hence GMm/r2 =mv2/r  where r is the radius of the orbit of satellite at any time and v is the velocity.


hence v=√GM/r


it is given that resistance to motion of satellite issgiven by F=av2


so F=mdv/dt


hence av2=mdv/dt


mdv/v2=adt


integrating with limits of t varying from o to T and that of v varying from √GM/nR to √GM/R


∫mdv/v2=∫adt


m(√nR/GM -√R/GM)=aT


T=m/a*√R/GM*(√n-1)



Good Luck


AskIITIANS Expert


Abhinav Batra




















 
7 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete Physics Course - Class 12
  • OFFERED PRICE: Rs. 2,756
  • View Details
  • Complete Physics Course - Class 11
  • OFFERED PRICE: Rs. 2,968
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details