During the police academy, some officers were practicing their shooting ranges. While shooting, an 18 g bullet is released from the gun and strikes a target that was 3.83 m away. Upon impact the target began to vibrate, as it was attached to a horizontal spring (k = 902 N/m). If it extends 1.17 m beyond its original position, determine the following (PLEASE SHOW ALL WORK AND UNITS): A) What is the initial velocity of the bullet? B) Assuming the 20 ∘∘ C, what is the Mach number of the bullet?

m = 0.350 kg. (c) Is the original energy in the spring or in the cord? (d) Explain your answer to part (c). (e) Is the momentum of the system conserved in the bursting-apart process? Explain how that is possible considering (f) there are large forces acting and (g) there is no motion before- hand and plenty of motion afterward? 5. Two blocks of masses m ailu ne QIC are placed on a frictionless, hor- V izontal surface. A light spring is attached to the more mas- 3m m Before sive block, and the blocks are pushed together with the spring between them (Fig. P9.5). A cord initially holding the blocks together is burned; after that happens, the block of mass 3m moves to the right with a speed of 2.00 m/s. (a) What is the velocity of the block of mass m? (b) Find the system's original elastic potential energy, taking 2.00 m/s 3m m After b Figure P9.5

Agent Arlene devised the following method of measuring the muzzle velocity of a rifle (the figure below). She fires a bullet into a 4.269-kgkg wooden block resting on a smooth surface, and attached to a spring of spring constant kkk = 162.9 N/mN/m . The bullet, whose mass is 7.870 gg, remains embedded in the wooden block. She measures the maximum distance that the block compresses the spring to be 9.460 cmcm . What is the speed vv of the bullet?

Please answer and solve the question correctly. Thank you!