Little Einstein is being chased by his history teacher. To escape her, he rides his bike at the speed of . If his rest mass is , find his relativistic mass (in ).
Clarification : denotes the speed of light in vacuum.
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From Special Theory of Relativity,
m r = 1 − ( c v ) 2 m 0 , where m r is the relativistic mass, m 0 is the rest mass and v is the speed of the system.
m r = 1 − ( c 5 3 c ) 2 m 0 or m r = 4 5 m 0 .
This gives the relativistic mass of Einstein as 5 0 kg .