Consider two objects of equal mass m, heading directly for each other. The first c velocity v and the second a velocity v2. Answer the questions below in terms of A) What is the total momentum P of the system of these two objects? B) What is the center of momentum (COM) velocity vcom 0f the system? C) In the center of momentum (COM) frame, what are the velocities of each obje D) If the two objects undergo an elastic collision, what are each of their velocities collision in the COM frame? [Recall our assumptions about elastic collisions

Two particles of equal mass move with equal speeds and approach each other as shown in the figure on the left. They collide and stick together. P1 A H В C F D E B2 Which arrow most closely approximates the direction of the particles after this inelastic collision? A В

a) A certain rocket carries 60% of its initial mass as fuel. (mass of fuel is 0.6mg) What is the rocket's final speed, accelerating from rest in free space, if it burns all its fuel in a single stage? Express the answer as a multiple of vex. b) Suppose instead it burns the fuel in two stages as follows: In the first stage it burns a mass of 0.3mo of fuel. It then jettisons the first-stage fuel tank, which has a mass of 0.1mo, and then burns the remaining 0.3mo of fuel. Find the final speed in this case, assuming the same value of vex throughout, and compare.

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