$1.$ You are a renowned surgeon who graduated from the Copperbelt University School of Medicine. While in the surgical theater conducting an operation, you notice two gallon of blood splatter onto the floor covering an area of $30$m$2.$ Determine the thickness of the blood on the floor $3.$ A bullet of mass $0\mathrm{.}023$kg moving at a horizontal speed $80$m$/$s strikes a block of wood of mass $0\mathrm{.}45$kg and instantly comes to rest with respect to the block. The block is suspended from the ceiling by means of thin wires. Calculate the height to which the block rises. Also estimate the amount of heat produced $4.$ A tennis player strikes a ball with his racket just as the ball reaches the ground. The ball leaves the racket with a speed of $6$ m$/$s at $50\backslash$deg to the ground. a$)$ Calculate the initial vertical component of velocity of the ball. b$)$ Calculate the initial horizontal component of velocity of the ball. When the player hits the shot they are $2\mathrm{.}0$m from the base of the net, which is $0\mathrm{.}90$m high. c$)$ Calculate the time taken for the ball to travel the $2\mathrm{.}0$m to the net after leaving the racket. d$)$ The net is $0\mathrm{.}90$m high in the centre of the court. Show by calculation whether the ball will go over the net.