If the velocities of object A and B are `v_(a) and `v(b) respectively, then write equation of relative velocity of A w.rt. B.

Two body A and B are 10km apart such that B is in south of A. A and B start moving with same speed 20km/hr eastward respectively then find Relative velocity of A w.r.t. B.

Einstein in 1905 proppunded the special theory of relativity and in 1915 proposed the general theory of relativity. The special theory deals with inertial frames of reference. The general theory of relativity deals with problems in which one frame of reference. He assumed that fixed frame is accelerated w.r.t. another frame of reference of reference cannot be located. Postulated of special theory of realtivity ● The laws of physics have the same form in all inertial systems. ● The velocity light in empty space is a unicersal constant the same for all observers. ● Einstein proved the following facts based on his theory of special relativity. Let v be the velocity of the speceship w.r.t a given frame of reference. The obserations are made by an observer in that reference frame. ● All clocks on the spaceship wil go slow by a factor sqrt(1-v^(2)//c^(2)) ● All objects on the spaceship will have contracted in length by a factor sqrt(1-v^(2)//c^(2)) ● The mass of the spaceship increases by a factor sqrt(1-v^(2)//c^(2)) ● Mass and energy are interconvertable E = mc^(2) The speed of a meterial object can never exceed the velocity of light. ● If two objects A and B are moving with velocity u and v w.r.t each other along the x -axis, the relative velocity of A w.r.t. B = (u-v)/(1-uv//v^(2)) One cosmic ray particle appraches the earth along its axis with a velocity of 0.9c towards the north the and another one with a velocity of 0.5c towards the south pole. The relative speed of approcach of one particle w.r.t. another is-

Einstein in 1905 proppunded the special theory of relativity and in 1915 proposed the general theory of relativity. The special theory deals with inertial frames of reference. The general theory of relativity deals with problems in which one frame of reference. He assumed that fixed frame is accelerated w.r.t. another frame of reference of reference cannot be located. Postulated of special theory of realtivity ● The laws of physics have the same form in all inertial systems. ● The velocity light in empty space is a unicersal constant the same for all observers. ● Einstein proved the following facts based on his theory of special relativity. Let v be the velocity of the speceship w.r.t a given frame of reference. The obserations are made by an observer in that reference frame. ● All clocks on the spaceship wil go slow by a factor sqrt(1-v^(2)//c^(2)) ● All objects on the spaceship will have contracted in length by a factor sqrt(1-v^(2)//c^(2)) ● The mass of the spaceship increases by a factor sqrt(1-v^(2)//c^(2)) ● Mass and energy are interconvertable E = mc^(2) The speed of a meterial object can never exceed the velocity of light. ● If two objects A and B are moving with velocity u and v w.r.t each other along the x -axis, the relative velocity of A w.r.t. B = (u-v)/(1-uv//v^(2)) A stationary body explodes into two fragments each of rest mass 1 kg that move apart at speed of 0.6c relative to the original body. The rest mass of the original body is -

Einstein in 1905 proppunded the special theory of relativity and in 1915 proposed the general theory of relativity. The special theory deals with inertial frames of reference. The general theory of relativity deals with problems in which one frame of reference. He assumed that fixed frame is accelerated w.r.t. another frame of reference of reference cannot be located. Postulated of special theory of realtivity ● The laws of physics have the same form in all inertial systems. ● The velocity light in empty space is a unicersal constant the same for all observers. ● Einstein proved the following facts based on his theory of special relativity. Let v be the velocity of the speceship w.r.t a given frame of reference. The obserations are made by an observer in that reference frame. ● All clocks on the spaceship wil go slow by a factor sqrt(1-v^(2)//c^(2)) ● All objects on the spaceship will have contracted in length by a factor sqrt(1-v^(2)//c^(2)) ● The mass of the spaceship increases by a factor sqrt(1-v^(2)//c^(2)) ● Mass and energy are interconvertable E = mc^(2) The speed of a meterial object can never exceed the velocity of light. ● If two objects A and B are moving with velocity u and v w.r.t each other along the x -axis, the relative velocity of A w.r.t. B = (u-v)/(1-uv//v^(2)) The momentum of an electron moving with a speed 0.6 c (Rest mass of electron is 9.1 xx 10^(-31 kg )

A and B are moving with the same speed 10m/s in the direction E-30^(@)-N and E-30^(@)-S respectively. Find the relative velocity of A w.r.t. B.

STATEMENT -1 : For an observer looking out through the window of a fast moving train , the nearby objects appear to move in the opposite direction to the train , while the distant objects appear to be stationary . STATEMENT - 2 : If the observer and the object are moving at velocities vec v_(1) and vec v_(2) respecttively with refrence to a laboratory frame , the velocity of the object with respect to a laboratory frame , the velocity of the object with respect to the observer is vecv_(2) - vecv(1) .

A planet revolves around the sun in an elliptical orbit. If v_(p) and v_(a) are the velocities of the planet at the perigee and apogee respectively, then the eccentricity of the elliptical orbit is given by :

Buses A and B are moving in the same direction with speed 20 ms^(-1) and 15 ms^(-1) respectively. Find the relative velcoity of A w.r.t. B and relative velocity of B w.r.t. A.

Two particles A and B are moving in a horizontal plane anitclockwise on two different concentric circles with different constant angular velocities 2omega and omega respectively. Find the relative velocity (in m/s) of B w.r.t. A after tome t=pi//omega . They both start at the position as shown in figure ("Take" omega=3rad//sec, r=2m)

The velocity of a particle in S.H.M. at positions x_(1) and x_2 are v_(1) and v_(2) respectively. Determine value of time period and amplitude.