Work Energy And Power Question 144
Question: Blocks $ A $ and $ B $ of mass m each are connected with spring of constant $ k $ . Both blocks lie on frictionless ground and are imparted horizontal velocity v as shown when spring is unstretched. Find the maximum stretch of spring.
Options:
A) $ v\sqrt{\frac{m}{k}} $
B) $ v\sqrt{\frac{m}{2k}} $
C) $ v\sqrt{\frac{2m}{k}} $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
[a] $ \frac{1}{2}kx^{2}=2[ \frac{1}{2}m{{( \frac{v}{\sqrt{2}} )}^{2}} ]\Rightarrow \frac{1}{2}kx^{2}=\frac{mv^{2}}{2} $
$ \Rightarrow x=v\sqrt{\frac{m}{k}} $ [The velocities along y axis do not change]
