Question

if the knitic energy and linear momentum of a body are equal, the velocity of the body is​

Answer 1

Answer:

Magnitude of Linear momentum of a body of mass m and moving with a velocity V = m V

Kinetic energy = ½ m V²

Magnitude of Linear momentum = Kinetic Energy implies;

|m V| = ½ m V², ==>| V| = ½ V², magnitude of velocity is always positive, V² is always positive. If a potive number is equal to half its square, it is possible if that number is zero. The other solution is

| V | = V²/2 ; ===> 2 V = V² or (V² - 2V) =0; => V(V - 2) = 0

=>V = 0 or V =2

I modified my earlier answer in the light of a comment by Prajwal Kumar. Thank you Prajwal Kumar for making my answer complete.

Explanation:

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