Laws Of Motion Question 263

Question: A particle moves in the xy-plane under the action of a force F such that the components of its linear momentum p at any time t are px=2cost , py=2sint . The angle between F and pat time t is [MP PET 1996; UPSEAT 2000]

Options:

A) 90

B) 0

C) 180

D) 30

Show Answer

Answer:

Correct Answer: A

Solution:

Given that p=pxi^+pyj^=2cost i^+2sint j^

F=dpdt=2sint i^+2cost j^

Now, F.p=0 i.e. angle between F and p  is 90°.



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