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A particle with total energy $E$ is moving in a potential energy region $U(x)$. Motion of the particle is restricted to the region when:
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Verified Answer
The correct answer is:
$U(x) \leq E$
We know that
$$
\begin{aligned}
E & =K \cdot E+P E \\
E & =K \cdot E .+V(n) \\
\Rightarrow \quad E-U(n) & =K . E . \\
& =\frac{1}{2} m v^2 \\
\Rightarrow \quad E & \geq V(n)
\end{aligned}
$$
$$
\begin{aligned}
E & =K \cdot E+P E \\
E & =K \cdot E .+V(n) \\
\Rightarrow \quad E-U(n) & =K . E . \\
& =\frac{1}{2} m v^2 \\
\Rightarrow \quad E & \geq V(n)
\end{aligned}
$$
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