A space craft approaching earth launches an explorationvehicle followed by a las

Question

A space craft approaching earth launches an explorationvehicle followed by a laser pulse. After the launch, an observer onearth sees the space craft approaching at a speed of 0.70c, theexploration vehicle approaching at a speed of 0.90c, and the laserpulse approaching at speed c. a. What is the speed of the exploration vehicle as viewedfrom the space craft? b. What is the speed of the laser pulse as viewedfrom the space craft? The equation used for this is u = (u' +v)/(1 + [vu'/c2]). A space craft approaching earth launches an explorationvehicle followed by a laser pulse. After the launch, an observer onearth sees the space craft approaching at a speed of 0.70c, theexploration vehicle approaching at a speed of 0.90c, and the laserpulse approaching at speed c. a. What is the speed of the exploration vehicle as viewedfrom the space craft? b. What is the speed of the laser pulse as viewedfrom the space craft? The equation used for this is u = (u' +v)/(1 + [vu'/c2]).

Explanation / Answer

Given u = 0.9 c

           v= 0.7 c

Speed of vehicle viewed from craft V = ( u – v ) / [1-( uv / c^ 2)]

                                                             = 0.2 c / [ 1-0.63 ]

                                                             =0.54 c

(b). speed of pulse viewed from craft = c

Speed of light in any frame of reference is c

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