A blue puck with mass 0.0400 kg, sliding with a speed of 0.200 m/s on a frictionless, horizontal surface, makes a perfectly elastic head‐on collision with a red puck with mass m, initially at rest. After the collision, the velocity of the blue puck is 0.0500 m/s in the same direction as its initial velocity. (a) Find the mass m of the red puck, and (b)the velocity (magnitude and direction) of the red puck after the collision

Part(a): The velocity of the red puck is and the direction will be the same as initial direction of blue puck.

Part(b): The mass of the red puck is .

Explanation:

Given:

The mass of the blue puck,

The initial velocity of the blue puck,

The final velocity of the blue puck,

The initial velocity of the red puck,

Consider the mass of the red puck be and its final velocity be .

Part(a):

The relation between the relative velocities of the particles is given by

Substitute the values in equation (1)

Part(b):

From momentum conservation,

Substitute the values in equation (2).

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