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 mBtravels to the right with speed vB. Show the velocity of piece B in terms of mA, mB and VA.
Q: Particle A with mass mA and total energy E is traveling in the lab frame in the direction of…
A: The objective of the question is to find the magnitude of the momentum of particle B after the decay…
Q: Consider a binary star system that has bright lines at 656.72 and 656.86 nm. Assume that the stars…
A: Given that, Wavelengths are 656.72 and 656.86 nm.
Q: Two relativistic particles of identical mass m move towards each other along the same axis. The…
A:
Q: Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that…
A:
Q: A picture on the wall has dimensions of H x W inches. How fast does a moving observer need to go for…
A:
Q: after Collisin M. M2 M3 My Wz Mic Energy of M, = 2 Mzc? Vz Energy of M2 = V i- Ener of Mz= Mz Energy…
A:
Q: A particle with a rest mass m moves at a speed of ().8c and collides with a particle of rest mass of…
A: Step 1:a. Velocity of the New ParticleFirst, we will use the conservation of momentum to find the…
Q: A rod is made of two different layers: chromium and copper; as shown in the diagram below. Both…
A:
Q: light above the Earth's atmosphere has an intensity of 1.39 kW/m2. If this is reflected straight…
A:
Q: A Carbon-14 nucleus is initially at rest but emits two particles of radiation; one with momentum…
A: Given data: The momentum of particles is, p1=5.8×10-21 kg·m/sp2=4.5×10-21 kg·m/s The mass of…
Q: Multiple-Concept Example 6 reveiws the principles that play a role in this problem. A nuclear power…
A: "Since you have asked multiple question, as per our guidelines we will solve the first question for…
Q: A ball of mass m traveling at a speed of 0.80c has a perfectly inelastic collision with an identical…
A:
Q: Starting from rest, two skaters "push off" against each other on smooth level ice, where friction is…
A: Write the momentum conservation equation. Pi=pfmmum+mwuw=mmvm1−vm2c2+mwvw1−vw2c2 Initially, both…
Q: You have five identical apples and six identical pears. The mass of an apple is 100 g and the mass…
A:
Q: Using data from Table 7.1, calculate the mass converted to energy by the fission of 1.00 kg of…
A:
Q: A particle has γ=2,865. a) Calculate c-v in m/s. If your calculator gives problems, you might…
A:
Q: A particle of mass 'm' is moving in a potential v(x) = -ax? + bx4 . Find the time period and…
A: Given: The mass of the particle is m. The potential equation V(x) = -ax2+bx4.
Q: A NASA scientist calculates that the momentum of 45.5 kg space probe as it leaves our solar system…
A:
Q: Consider the inelastic collision. Two lumps of matter are moving directly toward each other. Each…
A:
Q: Consider the inelastic collision. Two lumps of matter are moving directly towa and is moving at a…
A: GivenInelastic collisionMass of each lump, m=0.5 kgSpeed of each lump, v=0.88 c
Q: An initially stationary rocket explodes in empty space. Out of the debris two pieces are recovered:…
A:
Q: Starting from rest, two skaters "push off" against each other on smooth level ice, where friction is…
A: Given Data: Mass of the woman (m1) = 57 kg.Mass of the man (m2) = 76 kg.Velocity of the woman (v1) =…
-
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 mBtravels 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
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- Starting 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 UnitsIs this right? If you flick two marbles (mass m, speed v), one from each end of a straight line runway, directly at each other at equal speeds would this be an elastic or inelastic collision? I tried to find the kinetic energy and compare and this is what I get: 1/2mv^2 - 1/2mv^2 = 1/2mv^2 - 1/2mv^2 I have no idea if I'm even doing this right. What if you flick 2 from one side and one from the other?Consider 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=
- [Special Relativity] Two hypothetical X particles, each with mass m, collide head-on with the same magnitude of momentum, in the lab frame. The collision produces two new Y particles, each with mass 2m. What is the minimum kinetic energy, in the lab frame, of each X particle to achieve this process? O a. √2m O b. √3m O c. m O d. 2m.Although it is not possible, imagine a scenario where we could take the entire mass of a 1.1 kg wrench and covert it completely in to energy. How many MJ would this be? MJa physics student start sailing away in a boat at 5.0 m/s as shown in the diagram. When they are 50.0 m from the shore, Mr Berthiaume spots them, and launches a copy of the exam towards the boat so they will have no choice but to complete it. Using every quantum of strength in his body, he throws the exam with a speed of 40.0 m/s, while summoning physics to remove air resistance for the moment. The exam lands on the boat after the boat has moved another 50.0 m. (a) At what angle above the horizontal must Mr Berthiaume throw the exam so it lands on the boat? (b) How high is the cliff? (c) With what velocity does the exam hit the boat?
- What are the two postulates of special relativity? (Choose two answers.) A In any closed system, the total momentum will not change. B F=ma (c) The entropy of an isolated system will always increase over time. The speed of light is the same regardless of the speed of the observer or the speed of the source. Light travels to us from the hands of the clock. If we could move away from the clock at the speed of light, time will appear to stand still. If you measure both the position of a particle and its momentum, then the product of the F uncertainties of these two measurements must always be at least half of the reduced Planck's constant. For all possible paths between two points, the actual trajectory is the one that results in the action being minimized.After the collision, the first particle moves in the exact opposite direction with speed 1.30v, and the speed of the second particle, vnm,final, is unknown. What is the value of ?n?Needs Complete typed solution with 100 % accuracy.
- measured by this observer to be 10 times longer than its lifetime when at rest relative to the observer? 3. The lifetime of a free neutron is 886 s. If a neutron moves with a speed of 2.9 x 108m/s relative to an observer in the lab, what does the observer measure the neutron's lifetime to be? 4. A computer in a laboratory requires 2.50 us to make a certain calcu- lation, as measured by a scientist in the lab. To someone moving past the lab at a relative speed of 0.995c, how long will the same cal- culation take? 5. The formula for length contraction gives the length of an interval on a ruler moving with velocity v relative to an observer as V1-v²/c² times the length of the same interval on a ruler at rest with respect to the observer. By what fraction is the length of a meter stick reduced if its velocity relative to you is measured to be 95 percent the speed of light? 6. If an electron is speeding down the two-mile-long Stanford Linear Accelerator at 99.98 percent the speed of light,…Electron capture is a variant on beta-radiation. The lightest nucleus to decay by electron capture is 7Be -- beryllium-7. The daughter nucleus is 7Li -- lithium-7. The electron is transformed into a massless particle (a neutrino): e − + 7 B e + ⟶ 7 L i + ν The initial electron is bound in the atom, so the beryllium mass includes the electron. In fact, since the electron starts bound in the atom, a more-accurate statement of the nuclear reaction is probably: 7 B e ⟶ 7 L i + ν The masses are beryllium: 7.016929 u, and lithium: 7.016003 u, and refer to the neutral atom as a whole. (Use uc and uc2 as your momentum and energy units -- but carry them along in your calculation.) The initial beryllium atom is stationary. Calculate the speed of the final lithium nucleus in km/s. (all the energy released goes into the lighter particle. c = 300,000 km/s)The space and time coordinates for two events as measured in a frame S are as follows: Event 1: x1=x0 , t1=x0/c Event 2: x2=2x0, t2=x0/2c a. There exists a frame in which these events occur at the same time. Find the velocity of this frame with respect to S. b. What is the value of t at which both events occur in the new frame?