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In: Physics

A moving particle of mass M and impulse P breaks down in two fragments. One of...

A moving particle of mass M and impulse P breaks down in two fragments. One of these has a mass m1=1.00 MeV/c2 and an impulse p1 = 1.75Mev/c in the +x direction. The other one has a mass m2 = 1.50 MeV/c2 and an impulse p2 = 2.005 MeV/c in the +y direction. Find: a) The initial impulse (value and direction) b) Total energy of the initial particle c) The mass M of the initial particle d) The value of the initial velocity

Expert Solution

genius_generous answered 2 years ago

One particle whose mass is defined by m is moving along a certain line in the...

One particle whose mass is defined by m is moving along a certain line in the region x>0 is subjected to a conservative net force given by the following equation: F(x)= F₀x eˣ^²/²ᴸ^² The constants F and L are both positive real quantities with appropriate physical dimensions. Find the formula for the corresponding U(x), with the given assumption that the limₓ↠∞U(x)=0. Secondly, we know that the particle is launched from an initial location x₀>>>L towards x=0. (the >>> mean that...

A particle with mass m and energy E is moving in one-dimension from right to legt....

A particle with mass m and energy E is moving in one-dimension from right to legt. It is incident on the step potential V(x)=0 for x<0 nd V(x)=V0 for x>0 where E>V0>0. Find the reflection coefficient R in terms of m,E and V0, and h-bar.

4. Hamiltonian equations of motion A particle of mass m moving in two dimensions has the...

4. Hamiltonian equations of motion A particle of mass m moving in two dimensions has the Hamiltonian H(x, y, px, py) = (px − cy) ^2 + (py + cx)^ 2 /2m where c is a constant. Find the equations of motion for x, y, px, py. Use these to write the equations of motion for the complex variables ζ = x + iy and ρ = px + ipy. Eliminate ρ to show that m¨ζ − 2ic ˙ζ =...

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Consider a particle of mass m moving in a two-dimensional harmonic oscillator potential : U(x,y)=...

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Consider a particle of mass m moving in a two-dimensional harmonic oscillator potential : U(x,y)= 1/2 mω^2 (x^2+y^2 ) a. Use separation of variables in Cartesian coordinates to solve the Schroedinger equation for this particle. b. Write down the normalized wavefunction and energy for the ground state of this particle. c. What is the energy and degeneracy of each of the lowest 5 energy levels of this particle? %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

Problem 1: The energy E of a particle of mass m moving at speed v is...

Problem 1: The energy E of a particle of mass m moving at speed v is given by: E2 = m2 c4 + p2 c2 (1) p=γmv (2) 1 γ = 1−v2/c2 (3) This means that if something is at rest, it’s energy is mc2. We can define a kinetic energy to be the difference between the total energy of an object given by equation (1) and the rest energy mc2. What would be the kinetic energy of a baseball...

A charged particle of mass m = 7.3X10-8 kg, moving with constant velocity in the y-direction...

A charged particle of mass m = 7.3X10-8 kg, moving with constant velocity in the y-direction enters a region containing a constant magnetic field B = 1.8T aligned with the positive z-axis as shown. The particle enters the region at (x,y) = (0.5 m, 0) and leaves the region at (x,y) = 0, 0.5 m a time t = 463 μs after it entered the region. 1. With what speed v did the particle enter the region containing the magnetic...

For a particle of mass m in a two-dimensional potential well(i.e. particle confined in a 2D...

For a particle of mass m in a two-dimensional potential well(i.e. particle confined in a 2D box) with sides L1 and L2: a) Set up the Schrödinger equation for this system. b) Using separation of variables, derive an expression for thewavefunction Ψ and for the energy levels of the system. Be sure toshow all of your work for this derivation. c) For the case of square potential well with side L (i.e.L1=L2=L), sketch an energy level diagram forthe nine lowest...

When a nucleus of 235U undergoes fission, it breaks into two smaller, more tightly bound fragments....

When a nucleus of 235U undergoes fission, it breaks into two smaller, more tightly bound fragments. You may want to review (Pages 979 - 980) . Part A Calculate the binding energy per nucleon for 235U. Express your answer to three significant figures and include the appropriate units. Part B Calculate the binding energy per nucleon for the fission product 137Cs.

A particle of mass 1.30 kg is moving with velocity v⃗ =(7.4i^+5.6j^)m/s. 1) Find the angular...

A particle of mass 1.30 kg is moving with velocity v⃗ =(7.4i^+5.6j^)m/s. 1) Find the angular momentum L⃗ relative to the origin when the particle is at r⃗ =(2.9j^+4.3k^)m. Enter your answers in indicated order separated by commas. Express your answer using two significant figures. Lx,Ly,Lz = 2) At position r⃗ a force of F⃗ =5.0Ni^ is applied to the particle. Find the torque relative to the origin. Enter your answers in indicated order separated by commas. Express your answer...

An explosion breaks an object into two pieces, one of which has 2.30 times the mass...

An explosion breaks an object into two pieces, one of which has 2.30 times the mass of the other. If 7700 J were released in the explosion, how much kinetic energy did each piece acquire(a) Calculate the velocity of the target ball after the collision. heavier piece? ___J lighter piece? ____J A softball of mass 0.220 kg that is moving with a speed of 8.0 m/s (in the positive direction) collides head-on and elastically with another ball initially at rest....