1.

two bodies with equal masses move with uniform velocities v and 2v respectively . find the ratio of the kinetic energy .

Answer» let two bodies of MASSES ,
 BODY X = m
 body y = m     ( because they are equal in mass )
given .
  body x = V
  body y = 2V
 k.e. of x = 1/2mv^2
 k.e. of y = 1/2m(2v)^2
\frac{1}{2} *m *4*v^2              = 
2mv^2              = 

\frac{K.E.of x}{K.E.of y}ratio = 
\frac{ \frac{1*mv^2}{2} }{2mv^2}       = 
       = 1/4 = 1 : 4 


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