if the kinetic energy and linear momentum of a body are equal ,the velocity of the body is
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Explanation:
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
Conclusion:
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