A head-on, elastic collision occurs between two billiard balls of equal mass. If a red ball is traveling to the right with speed v and a blue ball is traveling to the left with speed 3v before the collision, what statement is true concerning their velocities subsequent to the collision? Neglect any effects of spin. (a) The red ball travels to the left with speed v, while the blue ball travels to the right with speed 3v. (b) The red ball travels to the left with speed v, while the blue ball continues to move to the left with a speed 2v. (c) The red ball travels to the left with speed 3v, while the blue ball travels to the right with speed v. (d) Their final velocities cannot be determined because momentum is not conserved in the collision. (e) The velocities cannot be determined without knowing the mass of each ball.

A hockey puck of mass 150 g is sliding due east on a frictionless table with a speed of 10 m/s. Suddenly, a constant force of magnitude 5 N and direction due north is applied to the puck for 1.5 s. Find the north and east components of the momentum at the end of the 1.3-s interval.

A 2000-kg railway freight car coasts at 4.4 m/s underneath a grain terminal, which dumps grain directly down into the freight car. If the speed of the loaded freight car must not go below 3.0 m/s, what is the maximum mass of grain that it can accept?

When two objects collide, the impulse exerted on object 1 by object 2 is equal in magnitude and opposite and direction to the impulse exerted on object 2 by object 1: I[1on2]=I[2on1](11.8) And the change in their momenta is given by: p1=p2(11.9) Which of Newtons three laws justifies these two equations?

(3) A bullet with mass 4.0 g and speed 650 m/s is fired at a block of wood with mass 0.095 kg. The block rests on a surface that is so slippery it can be considered frictionless and is thin enough so that the bullet passes completely through it. Immediately after the bullet exits the block, the speed of the block is 23 m/s. (a) What is the speed of the bullet when it exits the block? (answer: 100 m/s) (b) What percentage of the bullet's kinetic energy is lost during the collision (answer: 94.5%)

(II) An internal explosion breaks an object, initially atrest, into two pieces, one of which has 1.5 times the mass ofthe other. If 5500 J is released in the explosion, how muchkinetic energy does each piece acquire?

(III) A 725-kg two-stage rocket is traveling at a speed of 6.60 x103 m/saway from Earth when a predesigned explosion separates the rocket into two sections of equal mass that then move with a speed of 2.8x103 m/s relativeto each other along the original line of motion. (a) What is the speed and direction of each section (relative to Earth) after the explosion? (b) How much energy was supplied by the explosion? [Hint: What is the change in kinetic energy as a result of the explosion?]

(II) An atomic nucleus initially moving at 420 m/s emits an alpha particle in the direction of its velocity, and the remaining nucleus slows to 350 m/s. If the alpha particle has a mass of 4.0 u and the original nucleus has a mass of 222 u, what speed does the alpha particle have when it is emitted?

(2) An object initially at rest breaks into two pieces because of an explosion. One pieces has twice the kinetic energy of the other piece. (a) What is the ratio of the masses of the two pieces? (answer: 2) (b) Which piece has the larger mass? (answer: the piece with the smaller kinetic energy)