Question

the momentum of a body is increased by 50% what is the percentage change in its kinetic energy​

Answer 1

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From Newton's Second Law,

$\boxed{ \boxed{ \sf{p = mv}}}$

Since,

Mass of any object is constant

$\large{ \leadsto \: \sf{p \propto \: v}}$

• Velocity is directly proportional to momentum of the object.

Thus,the velocity would also be increased by 50 percent

Since,

$\sf{k = \frac{1}{2}mv {}^{2} }$

Implies,

$\boxed{ \boxed{ \sf{k \propto \: v {}^{2} }}}$

• Kinetic Energy is directly proportional to the square of velocity

Kinetic Energy would also be increased by 50 percent