Laws Of Motion Question 300

Question: A particle of mass m is made to move with uniform speed v along the perimeter of a regular polygon of n sides, inscribed in a circle of radius a. The magnitude of impulse applied at each comer of the polygon is :

Options:

A) $ 2mv\sin \frac{\pi }{n} $

B) $ mv\sin \frac{\pi }{n} $

C) $ mv\sin \frac{n}{\pi } $

D) $ mv\sin \frac{n}{\pi } $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $ \vec{j}=m( {{{\vec{v}}} _{f}}-{{{\vec{v}}} _{i}} ) $

$ =2mv\sin \theta /2=2mv\sin \pi /n. $



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