Question

draw graph between Momentum and mass of the object keeping its kinetic energy constant

Answer 1

Kinetic Energy = 1/2 x m x v^2  ----------------(1)

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

By multiplying equation (1) by m,

K.E x m = 1/2 x m^2 x v^2

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 Y^2 = kX ; k - Constant

The graph then should be like below