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5.Work, Energy, Power and Collision
normal
એક કણ $4\,\hat i\,\, + \,\,\hat j\,\, + \,\,3\hat k$ બળની અસર હેઠળ $\mathop {{r_1}}\limits^ \to \,\, = \,\,3\,\hat i\,\, + \,\,2\,\hat j\,\, - \,\,6\hat k$ સ્થાનથી $\mathop {{r_2}}\limits^ \to \, = \,\,14\,\hat i\,\, + \,\,13\,\hat j\,\, + \,\,9\hat k$ સ્થાન સુધી ગતિ કરે છે. તો થતું કાર્ય.....$J$ માં શોધો.
A$10$
B$100 $
C$0.01 $
D$1 $
Solution
$\Delta \overrightarrow {\text{r}} \,\, = \,\,\left( {14\,\,\hat i\,\, + \,\,13\,\hat j\,\, + \;\,9\hat k} \right)\,\, – \,\,\left( {3\hat i\,\, + \;\,2\hat j\, – \,\,6\hat k} \right)\,\, = \,\,11\hat i\,\, + \;\,11\hat j\,\, + \,\,15\,\hat k$
$\overrightarrow F \,\, = \,\,4\hat i\,\, + \;\,\hat j\,\, + \;\,3\hat k\,\, \Rightarrow \,\,W\,\, = \,\,\overrightarrow F \,\,.\,\,\Delta \overrightarrow r \,\, = \,\,44\,\, + \;\,11\,\, + \;\,45\,\, = \,\,100\,J$
$\overrightarrow F \,\, = \,\,4\hat i\,\, + \;\,\hat j\,\, + \;\,3\hat k\,\, \Rightarrow \,\,W\,\, = \,\,\overrightarrow F \,\,.\,\,\Delta \overrightarrow r \,\, = \,\,44\,\, + \;\,11\,\, + \;\,45\,\, = \,\,100\,J$
Standard 11
Physics