Question

ex i9
in the kientic energy if a bdy js doubled then how does monentum change​

Answer 1

Answer:

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Answer 2

Correct Question

If the kinetic energy of a body is doubled then how does its momentum change?

Answer

Given :-

$\sf K_2 = 2K_1$

To find :-

Change in momentum

Solution

Initial momentum, $\sf p_1 = \sqrt{2mK_1}$

Final momentum, $\sf p_2 = \sqrt{2mK_2}$

$\sf = \sqrt{2 \times m \times 2K_1}$

$\sf = \sqrt{2} \times \sqrt{2mK_1}$

$\sf = \sqrt{2} p_1$

$\sf p_2 = \sqrt{2} p_1$

Therefore the final momentum is √2 times of initial.