Question

I challenge you to answer this question,eh ?

Answer 1

the value of K is 2/root5

Answer 2

$\tt \blue{Question:}$

A ball moving the velocity $\tt\hat{i}$ collides with a stationary wall and returns with a velocity $\tt\hat{j}/2.$ The coefficient of restitution for this collision is $\tt \frac{1}{k}$. Find the value of K.

$\tt \blue{Answer:}$

After impact perpendicular speed $\tt{v^{′}}$$\tt{= \:e \cos\theta}$

$\tt{ \frac{1}{2} \ \cos \: (90 - \theta) \: = \: e \cos \theta}$

$\tt{ \frac{1}{2} \sin \: \theta \: = \: e \cos \: \theta}$

$\tt{\frac{ \tan \theta }{2} \: = \: e \cos \theta}$

$\tt{Now \: \sin \theta \: = \: \frac{1}{2} \: \sin(90 - \theta) }$

$\tt{\tan \theta \: = \: \frac{1}{2} \rightarrow \: (ii)}$

$\tt{e \: = \: \frac{1}{4} \: , \: K:4}$

I hope it's helps you ☺️.

Please markerd as brainliest answer ✌️✌️.