Kinematics Question 305

Question: A force $ \vec{F}=(5\hat{i}+3\hat{j})\ N $ it’s applied over a particle which d it’splaces it froM is original position to the point $ \vec{s}=(2\hat{i}-1\hat{j}) $ m. The work done on the particle is [BHU 2001]

Options:

A) 12

B) 6

C) 1

D) 0

Show Answer

Answer:

Correct Answer: A

Solution:

$ W=\overrightarrow{F}.\overrightarrow{s}=(3\hat{i}+c\hat{j}+2\hat{k}).(-4\hat{i}+2\hat{j}-3\hat{k}) $

$ =-12+2c-6 $

Work done $ =6J $ (given)
$ \therefore $ $ -12+2c-6=6 $
$ \Rightarrow $ $ c=12 $



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