in the figure puck 1 of mass m₁ = 0.50 kg is sent sliding across a frictionless lab bench, to undergo a one-dimensional elastic collision with stationary puck 2. Puck 2 then slides off the bench and lands a distance d from the base of the bench. Puck 1 rebounds from the ollision and slides off the opposite edge of the bench, landing a distance 5d from the base of the bench. What is the mass of puck 2? Hint: Be careful with signs.) Number i |--4-| Units

A 6.71-g bullet is moving horizontally with a velocity of +362 m/s, where the sign + indicates that it is moving to the right (see part a of the drawing). The bullet is approaching two blocks resting on a horizontal frictionless surface. Air resistance is negligible. The bullet passes completely through the first block (an inelastic collision) and embeds itself in the second one, as indicated in part b. Note that both blocks are moving after the collision with the bullet. The mass of the first block is 1158 g, and its velocity is +0.550 m/s after the bullet passes through it. The mass of the second block is 1535 g. (a) What is the velocity of the second block after the bullet imbeds itself? (b) Find the ratio of the total kinetic energy after the collision to that before the collision. +362m/s Block 1 (a) Before collision +0.550m/s mblock 1=1158 (b) After collision mblock 2=1535g Mbullet 6.71g (a) Vblock2= Number (b)KEafter/KEbefore = Number i Block 2 i block 2 Units Units ►

Under many conditions, the center of mass of a system of particles can represent the system as a whole. But how far does this rule extend? Consider two identical particles traveling toward each other at the same speed. By examining this system, choose the correct response. 1)The momentum and kinetic energy of the center of mass is equivalent to that of the system of particles. 2)The kinetic energy, but not the momentum, of the center of mass is equivalent to that of the system of particles. 3)Neither the momentum nor the kinetic energy of the center of mass is equivalent to that of the system of particles. 4)The momentum, but not the kinetic energy, of the center of mass, is equivalent to that of the system of particles.

C4B.1 Consider a system consisting of two point particles A and B separated by 25 cm. The distance between particle A and the system's center of mass is 5 cm. What is the mass of particle B compared to the mass of particle A? (Hint: Put the center of mass at the origin.)