Home
Class 11
PHYSICS
An artificial satellite (mass m) of a pl...

An artificial satellite (mass m) of a planet (mass M) revolves in a circular orbit whose radius is n times the radius R of the planet in the process of motion the satellite experiences a slight resistance due to cosmic dust. Assuming the force of resistance on satellite to depend on velocity as `F=av^(2)` where 'a' is a constant caculate how long the satellite will stay in the space before it falls on to the planet's surface.

A

`frac(m sqrtR (sqrtn - 1))(a sqrt(GM))`

B

`frac (mR(sqrtn - 1))(a sqrt(GM))`

C

`frac (mR(sqrtn + 1))(a sqrt(GM))`

D

`frac (msqrtR(sqrt(n - 1)))(a sqrt(GM))`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

An artificial satelite of the moon revolves in a circular orbit whose radius exceeds the radius of the moon eta times. The process of motion the satelite experiences a slight resistance due to cosmic dust. Assuming the resistance force to depend on the velocity of the satellite as F=alphav^2 , where alpha is a constant, find how long the satellite will stay in orbit until it falls onto the moon's surface.

Suppose an earth satellite, revolving in a circular orbit experiences a resistance due to cosmic dust. Then

A satellite whose mass is M , is revolving in circular orbit of radius r around the earth. Time of revolution of satellite is

Two satellites of masses M and 16 M are orbiting a planet in a circular orbitl of radius R. Their time periods of revolution will be in the ratio of

A satellite of mass M revolving in a circular orbit of radius r_(s) around the earth of mass M has a total energy E. then, its angular momentum will be

Two satellites of masses M and 4M are orbiting the earth in a circular orbit of radius r. Their frequencies of revolution are in the ratio of

Two satellites of masses 80 kg and 120 kg revolve round a planet in circular orbits of radii 16 R and 9 R respectively, where R is radius of the planet. The ratio of the speeds of satellites will be