Work Power Energy Question 7

Question 7 - 2024 (30 Jan Shift 1)

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

(1) $20 m / s$

(2) $\sqrt{10} m / s$

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

(4) $10 m / s$

Show Answer

Answer: (2)

Solution:

By COME

$KE _A+U _A=KE _B+U _B$

$0+\operatorname{mg}(1)=\frac{1}{2} mv^{2}+mg \times 0.5$

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