A .012Kg bullet is fired horizontally into a 2Kg block that is initially at rest on a table as shown. The bullets initial veloctiy is 300m/s. The bullet remains embedded in the blcock and the two slide together until coming to reast a distance x to the right of the blocks initial position. The coefficient of kinetic friction between the block and the table is .40.
i) what is the initial kinetic energy of the block+bullet system before the collision?
ii) what distance x, whould the block+bullet have to slide on the table to dissipate that energy?
iii) what is the initial momentum of the block+bullet system?
iv) By applying conservation of momentume, determine the actual speed of the blcok+bullet system immediately following the collision?
v) what is the actual kinetic energy of the block+ bullet imediately following the collision?
vi) what fraction of the initial kinetic energy is lost?
vii) what is the actual distance x that the block+bullet slides before coming to rest?
viii) how many times too great was the estimate of x based on the mistaken assumption that kinetic energy was conserved?