Question

The kinetic energy of a particle is increase by 300%find the increase in its momentum

Answer 1

$\huge\underline\blue{\sf Answer:}$

$\red{\boxed{\sf Increase\:in\: Momentum=100 percent}}$

$\huge\underline\blue{\sf Solution:}$

$\large\underline\pink{\sf Given: }$

• Kinetic Energy is increased by (K) 300%

$\large\underline\pink{\sf To\:Find: }$

• Increase in momentum (P) = ?

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$\large{\boxed{\sf K={\frac{{P}^{2}}{2m}}}}$

K = 1 + 3K

K= 4K

P = $\large{\sf \sqrt{4}P}$

$\large{\boxed{\sf P={\frac{\sqrt{2m(4K)}-\sqrt{2mK}}{\sqrt{2mK}}}}}$

$\large{\sf P={\frac{\sqrt{2mK}-(2-1)}{\sqrt{2mK}}}}$

$\huge\red{♡}$$\red{\boxed{\sf Increase\:in\: Momentum=100percent}}$