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qUESTIONS

The escape velocity for a rocket from earth is 11.2 km/sec. Its value on a planet where acceleration due to gravity is double that on the earth and diameter of the planet is twice that of earth will be in km/sec

The angular velocity of rotation of star (of mass M and radius R) at which the matter starts to escape from its equator will be

Two satellites of masses m₁ and m₂(m₁ > m₂) are revolving round the earth in circular orbits of radius r1 and r2 (r1 > r2) respectively. Which of the following statements is true regarding their speeds v₁ and v2

A cosmonaut is circling the earth in a satellite at 7 km/s at a height of 630 km above the surface of earth. Calculate the centripetal force acting on the cosmonaut if his mass is 80 kg (Take RE = 6.37×10^6 m)

Three identical bodies of mass M are located at the vertices of an equilateral triangle of side L. They revolve under the effect of mutual gravitational force in a circular orbit, circumscribing the triangle while preserving the equilateral triangle. Their orbital velocity is

A point particle of mass 0.5 kg is moving along the x-axis under a force described by the potential energy V shown below. It is projected from the origin with a speed v. what is the minimum value of v for which the particle will escape infinitely far away from the origin

The potential energy of 4 particles each of mass 1 kg placed at the four vertices of a square of side length 1 m is

A rocket is fired from inside a deep mine, so as to escape the earth’s gravitational field. The minimum velocity to be imparted to the rocket is

The escape velocity of a planet having mass 6 times and radius 2 times as that of earth is

Out of the following, the only correct statement about satellites is

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