Falling Behind in Studies? Join Our Performance Improvement Batch. Enroll For Free
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
Two satellites of masses m 1 and m 2 (m 1 =9m 2 ) are revolving around the earth in circular orbits of radii r and 9r. What is the ratio of the speeds of the satellites?
We know that , centripetal force is F(c)=mv^2/r.Gravitational force is F(g)=GMm/r^2.Where,m=satellite massM=Earth massV=orbital velocityr=orbital radius G=gravitational constant...Since satellites are executing circular motion around Earth,so,equqting both forces,mv^2/r = GMm/r^2....,v^2=GM/r.....this is the relation between orbital radius and orbital velocity....Now for ratio of speed of satellites...v(1)^2/v(2)^2 = r(2)/r(1).....Here,,r(2)=9r,,,r(1)=r...now putting the value,,we get,,v(1)/v(2)=√9r/√r=3......So ratio of speed of satellites is 3:1..
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -