Determine the speed with which the earth...

Determine the speed with which the earth would have to rotate on its axis so that a person on the equator would weigh `3//5` the as much as at present. Take the equatorial radius as 6400 km.

`sqrt((2g)/(5R))`

`sqrt((2R)/(5g))`

`(2sqrt(R))/(sqrt(5g))`

`(2g)/(5R)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

GRAVITATION
AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - B (OBJECTIVE TYPE QUESTIONS)|26 Videos
GRAVITATION
AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - C (PREVIOUS YEARS QUESTIONS)|52 Videos
GRAVITATION
AAKASH INSTITUTE|Exercise EXERCISE|20 Videos
ELECTROSTATIC POTENTIAL AND CAPACITANCE
AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - D|13 Videos
KINETIC THEORY
AAKASH INSTITUTE|Exercise EXERCISE (ASSIGNMENT) SECTION - D Assertion - Reason Type Questions|10 Videos

Similar Questions

Explore conceptually related problems

Determine the speed with which the earth have to roate on its axis so that a person on the equator would weigh 2//5th as much as at present. Take the equatorial radius as 6400 km .

Determine the speed with which the earth would have to roate on its axis , so that a person on the equator would weigh (3)/(5) th as nuch as at person. Take R = 6400 km .

If the earth has no rotational motion, the weight of a person on the equation is W. Detrmine the speed with which the earth would have to rotate about its axis so that the person at the equator will weight (3)/(4) W. Radius of the earth is 6400 km and g = 10 m//s^(2) .

If a man at the equator would weigh (3//5) th of his weight, the angular speed of the earth is

What would be the time period of rotation of earth so that the bodies at the equator would weight 40% of their actual weight?

What should be the velocity of earth due to rotation about its own axis so that the weight at equator become 3/5 of initial value. Radius of earth on equator is 6400 km

If the earth stops rotating about its axis , then what will be the change in the value of g at a place in the equitorial plane ? Radius of the earth = 6400 km.

Find the duration of the day if the rotation of earth about its axis speeds up in such a way that a person on the equator feels weightlessness.

AAKASH INSTITUTE-GRAVITATION -ASSIGNMENT SECTION - A (OBJECTIVE TYPE QUESTIONS)

If the change in the value of g at a height h above the surface of the...
Text Solution
|
As we go from the equator to the poles, the value of g
Text Solution
|
Determine the speed with which the earth would have to rotate on its a...
Text Solution
|
The accelearation due to gravity on a planet is 1.96 ms^(-2) if tit ...
Text Solution
|
An object is taken to height 2R above the surface of earth , the...
Text Solution
|
The change in the gravitational potential energy when a body of a mass...
Text Solution
|
A stationary object is released from a point P a distance 3R from the ...
Text Solution
|
Four particles A,B, C and D each of mass m are kept at the corners ...
Text Solution
|
If an object is projected vertically upwards with speed , half th...
Text Solution
|
The total mechanical energy of an object of mass m projected from s...
Text Solution
|
A body is thrown with a velocity equal to n times the escape velocity ...
Text Solution
|
The escape velocity of a body from earth is about 11.2 km/s. Assuming ...
Text Solution
|
If M is mass of a planet and R is its radius then in order to beco...
Text Solution
|
The atmosphere on a planet is possible only if [ where v(rms) is r...
Text Solution
|
A small satellite is revolving near earth's surface. Its orbital veloc...
Text Solution
|
The period of a satellite in a circular orbit of radius R is T, the pe...
Text Solution
|
By how much percent does the speed of a satellite orbiting in circular...
Text Solution
|
If potential energy of a satellite is -2 MJ ,then the binding ...
Text Solution
|
If a satellite of mass 400 kg revolves around the earth in an orbi...
Text Solution
|
If a satellite of mass 400 kg revolves around the earth in an orbi...
Text Solution
|