A block C of mass π‘šis moving with velocity 𝑣0and collides elastically with block 𝐴of mass π‘š and connected to another block 𝐡of mass 2π‘š through spring constant π‘˜.What is π‘˜ if π‘₯0 is compression of spring when velocity of 𝐴 and 𝐡 is same ?

Question: A block C of mass π‘šis moving with velocity 𝑣0and collides elastically with block 𝐴of mass π‘š and connected to another block 𝐡of mass 2π‘š through spring constant π‘˜.What is π‘˜ if π‘₯0 is compression of spring when velocity of 𝐴 and 𝐡 is same ?

(A) \dfrac{mv_{0}^{2}}{X_{0}^{2}}

(B) \dfrac{mv_{0}^{2}}{2x_{0}^{2}}

(C) \dfrac{3}{2}\dfrac{mv_{0}^{2}}{x_{0}^{2}}

(D) \dfrac{2}{3}\dfrac{mv_{0}^{2}}{x_{0}^{2}}

Answer: Option (D)

Solution:

A block C of mass π‘šis moving with velocity 𝑣0and collides elastically with block 𝐴of mass π‘š and connected to another block 𝐡of mass 2π‘š through spring constant π‘˜.What is π‘˜ if π‘₯0 is compression of spring when velocity of 𝐴 and 𝐡 is same ?
A block C of mass π‘šis moving with velocity 𝑣0and collides elastically with block 𝐴of mass π‘š and connected to another block 𝐡of mass 2π‘š through spring constant π‘˜.What is π‘˜ if π‘₯0 is compression of spring when velocity of 𝐴 and 𝐡 is same ?
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