An atomic nucleus suddenly bursts apart (fission) into two pieces. Piece A with mass mA travels to the left with a speed of vA. Piece B with mass mB travels to the right with speed vB. Show the velocity of piece B in terms of mA, mB and VA. Solution: Consider that the nucleus is not acted by an external force. Thus, momentum is conserved, so: pBf + pAf = 0 Substituting the expression for momentum results to mBv_____ + _____mAv_____ = 0 Deriving the expression for the velocity of piece B results to v_____=(mA/m_____)vA

2.2.1) If in the above collision the masses of the particles are m1 = m and m2= 4m and u1/u2 = 3. Show that the opening anglebetween the paths of the m1 and m2 is 120⁰ 2.2.2) If the mass m1 has incident kinetic energy E find the energies of the emerging particles m1 and m2 in terms of E.

The equation a = Fnet / m is valid in any dimension. That is, a = Fnet / m implies ax = Fnet x / m and ay = Fnet y / m. Similarly, the law of conservation of momentum is valid in any dimension. pA0 + pB0 = pA + pB implies pA0x + pB0x = pAx + pBx and pA0y + pB0y = pAy + pBy.Standard cue balls have masses of 170 grams, while numbered billiard balls have masses of only 160 grams. A cue ball traveling at 9.65 meters per second and 0.0 degrees strikes the nine ball at rest. After the collision, the cue ball travels at 3.95 meters per second and 60.7 degrees. What is the velocity of the nine ball after the collision? Include units in your answers.

A projectile has a mass of 10g and speed of 0.6c strikes a wall. What is the momentum of the projectile and what is the kinetic energyof the projectile? If the collision time for each projectile is 10 milliseconds what is the magnitude of the average force on the wall due to a single projectile?

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A 212^Bi (bismuth) nucleus undergoes alpha decay, resulting in a 208^Tl (thallium) nucleus and a 4He (helium) nucleus as per the following reaction: 212^Bi →208^Tl + 4^He The masses of each nucleus is listed in the table below. Given that the bismuth atom was at rest before the reaction, if the resulting thallium nucleus is traveling 3.3 × 105 m/s, how fast is the helium nucleus traveling?

There are two relativistic particles of identical mass m that move towards each other along the same axis. The magnitudes of their momenta are the same. They collide head-on to form a new particle of mass 8m. What were the magnitudes of momenta of the initial particles?

1. (15 pts) A moving hydrogen atom (rest mass 939 MeV/c2, wherec is the speed of light in vacuum) has a kinetic energy of 313 MeV. (a) What is the total energy of this atom in MeV? (b) What is this particle's speed in terms of c? (c) What is the magnitude of this atom's linear momentum? 24 MacBook Air

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In the four momentum treatment of relativistic particle collisions or decays, The mass of a particle is different for various observers. O Momentum and energy are still conserved in any inertial frame of reference. O The energy equals the sum of the momentum, pc, plus the mass, mc2. O The momentum and energy for a process are the same in all frames of reference.