Assertion : Two balls of different masses are | vedclass

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Question

$(A)$ When an object is thrown vertically upward with an initial velocity $u$, it reaches a maximum height $H = \frac{u^2}{2g}$.Since the maximum heig

Vedclass · Accepted Answer

If both $Assertion$ and $Reason$ are correct and the $Reason$ is a correct explanation of the $Assertion$.

Vedclass · Answer

$(A)$ When an object is thrown vertically upward with an initial velocity $u$, it reaches a maximum height $H = \frac{u^2}{2g}$.Since the maximum height depends only on the initial velocity $u$ and acceleration due to gravity $g$, it is independent of the mass $m$ of the object.According to the law of conservation of energy, the kinetic energy at the point of projection is $K = \frac{1}{2}mu^2$. When the object returns to the same point, its potential energy is the same as at the start, so its kinetic energy must be the same, meaning its speed $v = u$.Thus, both the maximum height and the final speed at the point of projection are independent of the mass of the ball.Therefore, both the $Assertion$ and $Reason$ are correct, and the $Reason$ is the correct explanation of the $Assertion$.

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