A solid sphere has linear velocity v(0)=...

A solid sphere has linear velocity `v_(0)=4` m/s and angular velocity `omega_(0)=9` rad/s as shown. Ground on which it is moving , is smooth . It collides elastically with a rough wall of coefficient of friction `mu` . Radius of the sphere is 1m and mass is 2 kg .

What is net linear impulse imparted by the wall on the sphere during impact ?

a. `sqrt(32) N-s`

b. `4sqrt(17) N-s`

c. `4sqrt(5) N-s`

d. `15sqrt(2) N-s`

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