Question

if the mass of a body is m and its kinetic energy is E, prove that the momentum of the body is equal to (2mE)1/2?




please its urgent whoever will answer correct will mark as a brainilist.​

Answer 1

Momentum :

• Before digging into solutions let's recap what momentum is -⁣

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• Product of mass of body and velocity of body.

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• It's a vector quantity.

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Let's Do It

• Let body is moving with velocity v.

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hence, potential energy of the body,

$\bf \: {\large{\bull}} \: \: \: \: E = \frac{1}{2} \times m \times {v}^{2} \\ \\ \longrightarrow \: \: Em = \frac{1}{2} {(mv)}^{2} \\ \\ \longrightarrow \: E \: = \frac{ {p}^{2} }{2m} \\ \\ \longrightarrow \underline{\boxed{ \mathfrak{ p = \sqrt{2mE}} }} \\ \\ \\ \\ \\ \: \: \: \: \: \: \: \:$

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