Work Power and Energy 5 Question 9
11. A bullet of mass $M$ is fired with a velocity $50 m / s$ at an angle $\theta$ with the horizontal. At the highest point of its trajectory, it collides head-on with a bob of mass $3 M$ suspended by a massless string of length $10 / 3 m$ and gets embedded in the bob. After the collision, the string moves through an angle of $120^{\circ}$. Find
(1988, 6M)
(a) the angle $\theta$,
(b) the vertical and horizontal coordinates of the initial position of the bob with respect to the point of firing of the bullet. (Take $g=10 m / s^{2}$ )
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Answer:
Correct Answer: 11. (c)
Solution:
- $p=\sqrt{2 K m}$ or $p \propto \sqrt{m}$,
$\frac{m _1}{m _2}=\frac{1}{4} \Rightarrow \quad \therefore \quad \frac{p _1}{p _2}=\frac{1}{2}$
