Question

As shown below, a bullet of mass m and speed v is fired at an initially stationary sphere. The bullet goes through the sphere, and exits with a speed of v 2 . The sphere is attached to a rigid pole of length L and negligible mass. What is the minimum value of v such that the sphere will barely swing through a complete vertical circle? (Use the following as necessary: m, L, g, and M for the mass of the sphere.) v v/2 An initially stationary sphere of mass M hangs at the end of a rigid pole of length L, which is attached to an axle at its upper end. A bullet of mass m is directly to the left of the sphere, and an arrow labeled vector v extends to the right below the bullet. A dotted line extends from the bullet, through the sphere and out to the right side of the sphere, where a pale image of the bullet is shown with an arrow labeled vector v/2, shorter than vector v, below it. A dotted circular trajectory of radius L extends from the sphere. v =

Answer 1