In cricket, the ball is a, solid, .036m radius, .16kg sphere which is rolled at a distance of 18.9m by the player on the other team called the bowler. The person hitting the ball is called the striker. additional info: the value for I (moment of inertia) for the uniform sphere is, 2/5MR^2.
a.) If the bowler bowls the ball with a speed of 9.0m/s and it is 1.7m above the ground and reaches you with a speed of 4.0m/s but at ground level, how much work is done by friction? (hint: assume the ball rolls without slipping the entire time)
b.)now, a regulation cricket field has a horizontal distance of 20.12m from the striker to the boundary. Striker must give the ball a velocity of 14.3m/s at 37 degrees in order for it to fly to the boundary. What impulse (both magnitude and direction) must striker impart on the ball? hint: assume ball is going 4m/s horizontally the instant before its hit by the striker and 14.3m/s at 37 degrees the instant after. ignore rotational effects.
thank you!