A point mass m is placed inside a spherical shell of radius R and mass M at a distance R / 2 form the centre of the shell. The gravitational force exerted by the shell on the point mass is
With what angular velocity the earth should spin in order that a body lying at 37° latitude may become weightless.
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A planet revolving around sun in an elliptical orbit has a constant :
A tunnel is dug along the diameter of the earth (Radius R and mass M). There is particle of mass m at the centre of the tunnel. Find the minimum velocity given to the particle so that it just reaches to the surface of the earth :
A satellite of mass m revolves around the earth of radius R at a height x from its surface. If g is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is :
Which of the following graph represents the time period of the planet moving around the sun. [R = semi major axis of the path]
At what height above the earth’s surface does the acceleration due to gravity fall to 1% of its value at the earth’s surface?
Two particles, each of mass M move around in a circle of radius R under the action of their mutual gravitational attraction. The speed of each particle is
Three particles each of mass m are kept at vertices of an equilateral triangle of side L. The gravitational field at centre due to these particles is :