As shown in the figure, a particle of mass 10 kg is placed at a point A.

Question:

As shown in the figure, a particle of mass $10 \mathrm{~kg}$ is placed at a point $\mathrm{A}$.

When the particle is slightly displaced to its right, it starts moving and reaches the point $\mathrm{B}$. The speed of the particle at $\mathrm{B}$ is $\mathrm{xm} / \mathrm{s}$. (Take $\left.\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)$

The value of 'x' to the nearest integer is_____

Solution:

(10)

Using work energy theorem,

$\mathrm{W}_{\mathrm{g}}=\Delta \mathrm{K} . \mathrm{E}$

$(10)(g)(5)=\frac{1}{2}(10) v^{2}-0$

$\mathrm{v}=10 \mathrm{~m} / \mathrm{s}$

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