A) \[A-B\]
B) \[5A+4B\]
C) \[5A-4B\]
D) \[4\,B-5A\]
Correct Answer: C
Solution :
If L is natural length of spring then, \[5\,\,=\,\,K\left( A\,\,-\,\,L \right)\] ? (i) and \[4=\,\,K\left( B\,\,-\,\,L \right)\] ? (ii) [k is spring constant] On solving Eqs. (i) and (ii) We have\[k=\frac{1}{A-B}\]and \[\operatorname{L}=5B\,\,-\,\,4A\] When same spring is loaded with 9 N and x is extension, then \[\operatorname{kx} =9\] \[\Rightarrow \,\,\,\,\,\,x=\frac{I}{k}=9\left( A-B \right)\] \[\operatorname{Length} =L+x=\left( 5B-4A \right)+\left( 9A-9B \right)\] \[=\,\,5A\,\,-\,\,4B\]You need to login to perform this action.
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