An unstable particle at rest spontaneously breaks into two fragments of unequal mass. The mass of the first fragment is 2.50 × 10-28 kg, and that of the other is 1.67 × 10-27 kg. If the lighter fragment has a speed of 0.893c after the breakup, what is the speed of the heavier fragment?

A kaon with a speed 0.8c in the laboratory decays into two pions, one positively charged and the other negatively charged. The rest mass of the kaon is 498 MeV/c2 and the rest mass of the pion is 140 MeV/c2. (a) What is the total energy of the kaon in the laboratory frame? (b) In the rest frame the two pions must go off in opposite directions to conserve momentum. What is the energy of each of the pions in the kaon rest frame? (c) Assume that the positive pion continues to travel in the same direction as the kaon was traveling. What is the total energy of each of the pions in the laboratory? (d) In what direction, relative to the kaon’s original direction of travel, does the negatively charged pion travel?

Antimatter: When a particle and its anti-particle collide, energy and momentum are conserved. However, the particles can annihilate each other and produce two gamma rays - high energy photons. An electron and an anti-electron each have a rest mass of 9.11 × 10-31 kg. Suppose the particles are each accelerated to a speed of 0.98c in a particle accelerator with a length of 1543 m for a head on collision. (Each particle is moving at this speed with respect to the lab, and the particles are moving in opposite directions.) They collide head on and annihilate. What is the wavelength of the gamma rays produced in this collision?

An elementary particle of a mass m, moving to the right with v=0.800 c after leaving an accelerator, collides with and sticks to an identical particle initially at rest. What is the speed of the combined particles?     CHOICES: a. 0.300 c b. 0.400 c c. 0.500 c d. 0.600 c

a) What is the kinetic energy of a 1.0 g particle with a speed of 0.800c? b) What is the rest energy of a 1.0 g particle with a speed of 0.800c? c) What is the total energy of a 1.0 g particle with a speed of 0.800c?

An unstable particle with a mass equal to 3.34 ✕ 10−27 kg is initially at rest. The particle decays into two fragments that fly off with velocities of 0.981c and −0.861c, respectively. Find the masses of the fragments in kg. (Hint: Conserve both mass–energy and momentum.)

An unstable particle is at rest and suddenly decays intotwo fragments. No external forces act on the particle or itsfragments. One of the fragments has a speed of 0.60c anda mass of 6.67 x 10-27 kg while the other has a mass of 1.67 x10-27 kgWhat is the speed of the less massive fragment?

A relativistic proton has a momentum of 1.0 × 10-17 kg ∙ m/s and a rest energy of 0.15 nJ. What is the kinetic energy of this proton? (c = 3.00 × 108 m/s, mproton = 1.67 × 10-27 kg)

An unstable particle is at rest and suddenly breaks up into two fragments. No external forces act on the particle or its fragments. One of the fragments has a velocity of +0.837c and a mass of 1.77 × 10-27 kg, and the other has a mass of 5.29 × 10-27 kg. What is the velocity of the more massive fragment (as a multiple of c)? (Hint: This problem is similar to Example 6 in Chapter 7.) Unstable particle at rest Number i V2 m2 Units m1 V1 Recoiling fragments

An unstable particle at rest breaks up into two fragments of unequal mass. The mass of the lighter fragment is equal to 3.20 ✕ 10−28 kg and that of the heavier fragment is 1.71 ✕ 10−27 kg. If the lighter fragment has a speed of 0.893c after the breakup, what is the speed of the heavier fragment? ?c