Two relativistic particles of identical mass m 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 4m. What were the magnitudes of momenta of the initial particles?
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Q: A 3.25 µg particle moves at 2.09 × 10° m/s. What is its momentum p? p = kg-m/s
A: To be given,mass, m=3.25×10-6 gspeed, v=2.09×108 ms
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- An object has a kinetic energy of 312 J and a momentum of magnitude 29.3 kg · m/s. (a) Find the speed of the object. _____m/s (b) Find the mass of the object. ______kgStarting from rest, two skaters "push off" against each other on smooth level ice, where friction is negligible. One is a woman and one is a man. The woman moves away with a velocity of +2.0 m/s relative to the ice. The mass of the woman is 57 kg, and the mass of the man is 76 kg. Assuming that the speed of light is 3.5 m/s, so that the relativistic momentum must be used, find the recoil velocity of the man relative to the ice. (Hint: This problem is similar to Example 6 in Chapter 7.) Number i UnitsStarting from rest, two skaters "push off" against each other on smooth level ice, where friction is negligible. One is a woman and one is a man. The woman moves away with a velocity of +2.2 m/s relative to the ice. The mass of the woman is 57 kg, and the mass of the man is 88 kg. Assuming that the speed of light is 2.8 m/s, so that the relativistic momentum must be used, find the recoil velocity of the man relative to the ice. (Hint: This problem is similar to Example 6 in Chapter 7.) Number i Units
- 15 mc 4 mc The static energy Eo of a particle of mass m is one fourth of its total energy E. What is the particle's momentum in mc units? √3 mc 715 mc 3 mcAn unstable particle at rest breaks up into two fragments of unequal mass. The mass of the lighter fragment is equal to 2.00 x 10-28 kg and that of the heavier fragment is 1.61 x 10-27 kg. If the lighter fragment has a speed of 0.893c after the breakup, what is the speed of the heavier fragment? CConsider the inelastic collision. Two lumps of matter are moving directly toward each other. Each lump has a mass of 0.500 kgand is moving at a speed of 0.910?. The two lumps collide and stick together. Answer the questions, keeping in mind that relativistic effects cannot be neglected in this case. What is the final speed ?f of the combined lump, expressed as a fraction of ?? ?f= ? What is the final mass ?f of the combined lump immediately after the collision, assuming that there has not yet been significant energy loss due to radiation or fragmentation? ?f=
- 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?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 2.35 µg particle moves at 1.87 x 10° m/s. What is its momentum p? p = kg-m/s
- C Chegg X C Sign In https://bconline.broward.edu/d21/lms/quizzing/user/attempt/quiz_start_frame_auto.d2l?ou=514283&is... A Q If a projectile mass of 1.0 kg moving at 19.0 m/s collides with a motionless target mass of 15.0 kg perfectly inelastically what is the total kinetic energy of the projectile and target after the collision? X 1 OneLoc X Quizzes X Q instagra X Your Answer: Use standard MKS unit abbreviations. Instagra X Answer units (75,834 X C Reset P. X X New ta X + {}An electron has a momentum of 2.00 x 10-2¹ kg⋅m/s. Find the kinetic energy of the electron in units of MeV. (A) 2.31 (B) 5.74 (C) 4.97 (D) 3.27 (E) 6.49The muon is an unstable subatomic particle witha mean lifetime of 2.2 μs, and about 10,000 muons reach everysquare meter of the earth's surface a minute. A muon has a linear momentum G, and after some short time it decays into two other elementary particles with masses m1 and m2. The energy Q released during the decay is converted entirely into the kinetic energy of the decay products (i.e., into kinetic energy of m1 and m2). Find linear momenta of decay products. Draw a vector diagram showing a range of momenta decay products can take.