Home
Class 12
PHYSICS
An artificial satellite of mass m of a p...

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

Text Solution

Verified by Experts

`t=(sqrt(n)-1)m l alpha sqrt(gR)`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOUR SELF|33 Videos

  • GRAVITATION

    AAKASH INSTITUTE ENGLISH|Exercise EXERCISE|17 Videos

  • GRAVITATION

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION -I (Subjective Type Question)|9 Videos

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - D|9 Videos

  • KINETIC THEORY

    AAKASH INSTITUTE ENGLISH|Exercise EXERCISE (ASSIGNMENT) SECTION - D Assertion - Reason Type Questions|10 Videos

Similar Questions

Explore conceptually related problems

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.

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

A sayellite of mass m revolves in a circular orbit of radius R a round a planet of mass M. Its total energy E 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 moving around the earth of mass m in a circular orbit of radius R has angular momentum L. The rate of the area swept by the line joining the centre of the earth and satellite is

Find the workdone to move an earth satellite of mass m from a circular orbit of radius 2R to one of radius 3R.

An ariticial satellite (mass =M ) of earth revolves in a circular orbit whose radius is 4 times the radius of the earth. Assume that in the spherical region between the radius 4R_(e ) and 2R_(e ) there is cosmic dust. If mass of the satellite is increasing at the rate of u per sec. Find the time in which satellite will come to orbit of radius 2R_(e ) .

The satellite of mass m revolving in a circular orbit of radius r around the earth has kinetic energy E. then, its angular momentum will be

A satellite of mass m goes round the earth along a circular path of radius r. Let m_(E) be the mass of the earth and R_(E) its radius then the linear speed of the satellite depends on.