Conservation of mechanical energy

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Question

As shown in the figure , a particle of mass 10 kg is placed at a point A. When the particle is slightly displaced to its right, it starts moving and reaches the point B. The speed of the particle at B is x m/s $(T a k e g = 10 m / s^{2})$
The value of ‘x’ to the nearest integer is ___

Easy

Solution

Conservation of energy
$P . E = K . E \Rightarrow m g (h_{1} - h_{2}) = \frac{1}{2} m v^{2} \Rightarrow g \times 5 = \frac{1}{2} v^{2} \Rightarrow v = 10 m / s$

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