Please answer clearly and provide all steps kr (1) Trajectories in an oscillator potential V(r) Determine...
Please do this problem about quantum mechanic harmonic
oscillator and show all your steps thank you.
Q1. Consider a particle of mass m moving in a one-dimensional harmonic oscillator potential. 1. Calculate the product of uncertainties in position and momentum for the particle in 2. Compare the result of (a) with the uncertainty product when the particle is in its the fifth excited state, ie. (OxơP)5. lowest energy state.
Q1. Consider a particle of mass m moving in a one-dimensional...
achieves its closest approach A particle of mass m moving in the Kepler potential V -k/ to the force center, r-ro, at 0, where r, p denote polar coordinates in the plane of motion of the particle. At φ = π/3, its distance from the force center is r = 5r0/4. Determine the eccentricity e of the orbit, the angular momentum, the energy, and the ratio of speeds v(p /3)/(p 0). Hint: If you're not completely confident in your knowledge...
Please explain clearly. I need to know each steps
reasons.
5) (Kepler's Problem) Suppose that a particle is moving in three dimensions under the influence of the force k F=- where k is a positive constant. (a) Find the torque acting on the particle with respect to the origin. Is angular momentum conserved? Show that the magnitude of the angular momentum is given by l = mr2ė. (b) Using Newton's second law, show that the momentum of the particle is...
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2) Consider a head-on collision of the particle of mass M, moving with the velocity V and having kinetic energy E=MV2/2, with another particle of mass M1, staying at rest. Find the energy Ej transferred to the second particle in the course of the collision. Solution: From the conservation of both momentum and energy we have MV = MV'+M,V, and MV2 =...
tthe-independent Help: The operator expression dimensions is given by H 2m r ar2 [2] A particle of mass m is in a three-dimensional, spherically symmetric harmonic oscillator potential given by V(r)2r2. The particle is in the I-0 state. Noting that all eigenfunetions must be finite everywhere, find the ground-state radial wave-function R() and the ground-state energy. You do not have to nor oscillator is g (x) = C x exp(-8x2), where C and B are constants) harmonic malize the solution....
Please write clearly and with all the steps
Exercise 2: A force F = (312N) 1+ (4 N) j, with x in meters, acts on a particle changing its energy kinetics. (a) How much work is done on the particle while moving from the coordinates (2 m, 3 m) to (3 m, 0 m)? (b) Does the particle velocity increase? Does it decrease? or does it hold same? (You must integrate to find the work: see example of Sub-topic 4...
2. A particle of mass m is moving in a plane under a force whose potential energy is given by V(r) -kin r + cr + gr cos θ with k,c,g positive constants. (a) Write down the force in polar coordinates. (b) Find the positions of equilibrium (1) if c>g and (2) if c<g. (c) By considering the direction of the force near these points, determine whether the equilibrium is stable or not
2. A particle of mass m is...
# Problem 1 # Suppose a point-mass particle with mass, 'm', moving in a gravitational potential, 'U(r)', where 'r' is the distance from the center of the potential. A positional vector and momentum vector of a particle are vec r' and "vec p', respectively. (\vec means vector symbol.) Q1) An angular momentum vector vec J' is defined as vec J = \vec r x \vec p. Show that \vec J is conserved in such a gravitational potential U(r) which depends...
Answer: 4320 V
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5. A particle of mass 2.00 mg and charge-6.00 ?C travels with horizontal velocity v - 230 m/s. The particle enters a region with vertical electric field, travels through the field and exits at a direction of 35.0° below the horizontal. Find the potential difference between the points where the particle entered and exited the electric field
could you please solve a and b?
Chapier 2i. Note: you needn't derive Kepler's laws-but do mention when you are using them, an describe the physical concepts involved and the meanings behind the variables. u) Consider two stars Mi and M; bound together by their mutual gravitational force (and isolated from other forces) moving in elliptical orbits (of eccentricity e and semi-major axes ai and az) at distances 11 in n and r from their center of mass located at...