Laws Of Motion Question 334

Question: A body starts from rest on a long inclined plane of slope$ 45{}^\circ $ . The coefficient of friction between the body and the plane varies as$ u=0.3x $ , where $ x $ is distance travelled down the plane. The body will have maximum speed (For$ g=10m/s^{2} $ ) when $ x= $

Options:

A) 9.8 m

B) 27 m

C) 12 m

D) 3.33 m

Show Answer

Answer:

Correct Answer: D

Solution:

[d] When the body has maximum speed then

$ \mu =0.3x=tan45{}^\circ ~~~~\therefore x=3.33m $



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