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. $
