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If kinetic energy of a body remains constant, then momentum mass graph is

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Kinetic Energy = 1/2 x m x v2  ----------------(1)  

Since the equation for momentum (p) is = m x v  

By multiplying equation (1) by m, 

 K.E x m = 1/2 x m2 x v2  

K.E x m = 1/2 x (m x v )2  

K.E x m = 1/2 x (p)2  

K.E   = 1/2 x (p)2 / m  

K.E x 2 = (p)2 / m  

Since K.E x 2 is constant,  

(p)2 =  (K.E x 2 ) x m  

It is similar to a graph of Y2 = kX ; k - Constant  

The graph then should be like below  

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