Kinematics Question 298

Question: A force vector applied on a mass is represented as $ \vec{F}=6\hat{i}-8\hat{j}+10\hat{k} $ and accelerates with $ 1\ m/s^{2} $ . What will be the mass of the body in kg. [CMEET 1995]

Options:

A) - 2

B) 8

C) - 7

D) - 8

Show Answer

Answer:

Correct Answer: D

Solution:

For perpendicular vector $ \overrightarrow{A}.\overrightarrow{B}=0 $
therefore $ (5\hat{i}+7\hat{j}-3\hat{k}).(2\hat{i}+2\hat{j}-a\hat{k})=0 $
therefore $ 10+14+3a=0 $
$ \Rightarrow $ $ a=-8 $



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