A bullet of mass m= 50 g and velocity v= 400 m/s is fired at auniform solid sphere of mass M = 1 kg and radius R = 1 m. Thesphere is initially at rest and is mounted on a fixed horizontalaxis that runs through the center of mass. The line of motion ofthe bullet is perpendicular to the axle and at a distance d = .50 mfrom the center of the sphere. The moment of inertia of the sphereabout a rotation axis through its center of mass is ICM=2/5 MR2.
(A) What is the angular momentum of the bullet about the axle ofthe sphere, before the bullet hits the sphere?
(B) What is the angular momentum of the sphere about its axlebefore being hit by the bullet?
(C) What is the anglular speed of the bullet-and-sphere systemafter the bullet strikes and adheres to the surface of thesphere?
A bullet of mass m= 50 g and velocity v= 400 m/s is fired at auniform solid sphere of mass M = 1 kg and radius R = 1 m. Thesphere is initially at rest and is mounted on a fixed horizontalaxis that runs through the center of mass. The line of motion ofthe bullet is perpendicular to the axle and at a distance d = .50 mfrom the center of the sphere. The moment of inertia of the sphereabout a rotation axis through its center of mass is ICM=2/5 MR2.
(A) What is the angular momentum of the bullet about the axle ofthe sphere, before the bullet hits the sphere?
(B) What is the angular momentum of the sphere about its axlebefore being hit by the bullet?
(C) What is the anglular speed of the bullet-and-sphere systemafter the bullet strikes and adheres to the surface of thesphere?
