Define:Escape velocity and derive mathematically .

Define:Acceleration due to gravity and derive mathematically

Define : The Universal law of gravitation and derive mathematically .

what are escape velocity

Define angular velocity.

Define critical velocity and derive an expression for the same. OR What is critical velocity? Derive an expression for critical velocity of a satellite orbiting at a certain height. Also discuss the formula when satellite is very close to the earth's surface.

State Kepler's thrid law and derive mathematically to obtain constant

Obtain the relation between escape velocity and critical velocity when satellite is orbiting very close to earth. OR Show//prove that the escape velocity of a satellite orbiting round the earth is equal to sqrt2 time its critical velocity. OR Show that V_e = sqrt2. V_c for a satellite orbiting round the earth.

Define The Universal of gravitational Law and Derive mathematically

Define escape velocity. Derive an expression for the escape velocity of an object from the surface of the earth. OR Define escape velocity of a body at rest on the earth's surface. Obtain an expression for the same and show that it is independent of the mass of the body. OR Define escape velocity of the body. Obtain an expression for the escape velocity when the body is at rest on the surface of the earth and show that it is independent of the mass of the body.

The escape velocity for a body projected vertically upwards from the surface of the earth is 11.2 km s^(-1) . If the body is projected in a direction making an angle 45^@ with the vertical, the escape velocity will be