Question

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

Answer 1

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