A particle is placed at the point A of a frictionless track ABC as shown in the figure. It is gently pushed towards the right. The speed of the particle when it reaches the point B is (Take g = 10 ).

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Solution

Q.
A particle is placed at the point A of a frictionless track ABC as shown in the figure. It is gently pushed towards the right. The speed of the particle when it reaches the point B is (Take g = 10 $m / s^{2}$ ). [2024]

1 $\sqrt{20}$ m/s

2 $\sqrt{10}$ m/s

3 $2 \sqrt{10}$ m/s

4 10 m/s

Ans.
(2)

By energy conservation

$| Δ P E |$ $=$ $| Δ K E |$

$m g (h_{2} - h_{1}) = (\frac{1}{2} m v^{2} - 0)$

$m g [0.5] = \frac{1}{2} m v^{2}$

$v = \sqrt{10} m/s$

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