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Assertion : A light body and heavy body have same momentum. Then they also have same kineticenergy.Reason : Kinetic energy doesn't depends on mass of the body

Question

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Solution

Step 1: Understand the assertion and reason given. The assertion states that a light body and a heavy body have the same momentum. The reason provided is that kinetic energy does not depend on the mass of the body.

Step 2: Analyze the assertion. Momentum is defined as the product of an object's mass and its velocity. If the momentum of a light body and a heavy body is the same, it means that their mass and velocity must be inversely proportional. In other words, if the mass of the light body is smaller, its velocity must be larger, and vice versa for the heavy body.

Step 3: Evaluate the reason. The reason given is that kinetic energy does not depend on the mass of the body. This is true because kinetic energy is calculated using the formula KE = 1/2 * m * v^2, where m represents the mass of the body and v represents its velocity. As we can see, the mass is only multiplied by the velocity squared, indicating that the kinetic energy is proportional to the square of the velocity, not the mass.

Step 4: Determine the validity of the assertion and reason. Based on the analysis, the assertion and reason are both valid. If a light body and a heavy body have the same momentum, it means their mass and velocity are inversely proportional. Since kinetic energy depends on the square of the velocity and not the mass, the two bodies will indeed have the same kinetic energy.

Step 5: Provide the final answer. Therefore, the assertion is true, and the reason is a valid explanation for it. A light body and a heavy body with the same momentum will also have the same kinetic energy.

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