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`