Name: inelastic () A bullet with mass mg is fired into a stationary block of wood (mw ) at a speed v Bo siji the They b that the bullet stays inside of the wood. The wood is suspended by a massless rope. Afi the collision, the block of wood (now containing the bullet) swings up to a maximum height before swinging back down. When at its maximum height, the rope makes an angle 0 with the vertical. Define the original elevation of the wood to be where gravitational potential energy is equal to zero. Report your answers in terms of given parameters and constants of the universe. The collision occurs in an interval of time short enough that all external impulses to the bullet-wood system can be ignored. (a) Write an expression for the speed of the wood after the collision. [3pts] (b) Write an expression for the maximum height reached by the wood. [4pts] P - maxim, (c) Write an expression for the length of the rope. [5pts] L = length of rope n (d) Imagine the bullet leaves the gun with the same speed UB,, but instead of embedding in the wood, it bounces off the wood and returns towards the gun with speed vs, . Would the maximum height reached by the wood increase, decrease, or stay the same? (4pts] (e) Imagine the bullet leaves the gun with the same speed vBo, but instead of embedding in the wood, the bullet goes all the way through the wood and emerges on the far side of the wood with speed VB, . Would the maximum height reached by the wood increase, decrease, or stay the same? [4pts] MB V4) Two billiard balls, one red, one blue, collide with one another perfectly elastically. Prior to the collision, the red ball has velocity UR = (2.96m/s)i while the blue ball is stationary. They both have the same mass, m = 1659. After the collision, the blue ball has speed 1.48m/s and the red ball's velocity is at an angle of 0, = 30.0 above the +r-axis. The collision lasts for At - 61,5ms. (a) Read parts (b) and (c) below and then define the system you will use in answering those questions. Why does no external impulse need to be considered? [5pts] (b) What is the speed of the red ball after the collision? [3pts SUH CAI (c) What is the velocity of the blue ball (in components) after the collision? [4pts] TOA (d) What is the magnitude and angle ( measured from the +r-axis) of the force from the blue ball on the red ball? [4pts] (e) What is the impulse given to the blue ball from the red ball during the collision? [4pts]