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  4. Potential energy curve of a body of mass m = 2 kg is shown in the figure, it is released from rest at point A. Maximum distance covered by it on the positive x-axis till it momentarily comes to rest from the origin is <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/e621a9be4cc4fdaab89080c5e9c77d71-.png />

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Q. Potential energy curve of a body of mass $m = 2\,kg$ is shown in the figure, it is released from rest at point A. Maximum distance covered by it on the positive x-axis till it momentarily comes to rest from the origin is
image

Solution:

From energy conservation $U(x) = 16\, J$
and $\frac{dU}{dx} = 16 \,J/m$
Hence $U = 16x$
$\Rightarrow 16 = 16 x$
$ x = 1\,m$