Hi there can you please answer question part (b) (ii) - thank you
Hi there can you please answer question part (b) (ii) - thank you Consider a test...
2. The equations of motion for a system of reduced mass moving subject to a force derivable from a spherically symmetric potential U(r) are AF –102) = (2+0 + rē) = 0 . (3) Using the second of these equations, show that the angular momentum L r 8 is a constant of the motion (b) Then use the first of these equations to derive the equation for radial motion in the form dU L i=- What is the significance of...
# 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...
Hi, can you solve the question for me step by step, I will rate up if the working is correct. I will post the answer together with the question. Answer: Question 7 Implement the following: A reel consists of two solid uniform circular discs, each of mass m and radius 2R, attached to two ends of a solid uniform cylindrical axle of mass m and radius R. The reel stands on a rough horizontal table. A light inextensible string has...
1 Semiquantitative Results Using Semiclassical Quantization In this problem, you will analyze the consequences of the de Broglie relations (i.e., Bohr-Sommerfeld quantization) on the motion of particles in the same potential as in Problem 3 of Problem Set #3, V(r) = v. ()°. (1) 1.1 Classical orbits Using F = mã, show that for a classical orbit in the potential (1), pº = mav (r), and that the total energy of the particle is E = + V(r) = (;?(r)....
2. Consider a charged particle in a magnetic field. Let -e = -1.60 x 10-191C) be an electron, under B=0.1T) of a uniform magnetic field directed out of the page direction (o-direction). At t = 0[sec] the particle is at the origin, and the initial velocity is toward positive y direction. (a) Sketch the initial configuration of this electron (-e at the origin) into (x,y)-plane. Applying the right hand rule, indicate the magnetic force on this moving electron. Note that...
Mahiindra cole Centrale Tutorial Sheet-3 Central forces/SHM PHYSICS-101 Date 150220 1) Let a particle be subject to an attractive central force of the form n where r is the distance between the particle and the centre of the force. Find fn), if all circular orbits are to have identical areal velocities, A 2) For what values of n are circular orbits stable with the potential energy un-Ai where A > 0? 3) A satellite of mass m 2,000 kg is...
7Okn4. Tidal Forces: A comet of mass m and radius R approaches the Sun with a trajectory described by C ( L/Gm2 Mn)-4 x 10° km, and eccentricity e-0.967. Will the comet break apart by tidal forces, or retun another day? (m -2 x 10 kg, R 10 km, MN-2 x 10" kg) Points (20) m! eliptcal trajectory 34 Roche Limit 5). Binary Star System: Consider a planetary system as pictured (not to scale), with the stars in a circular...
someone please help with this physics question! 1. A mass spectrometer is a device for measuring the mass of charged ions that are first accelerated by an electric field, and then travel in circular orbits in a uniform magnetic field. Let's assume the chamber at the lower left contains hydrogen gas, but may have some contaminants. The gas is ionized in positively charged atomic ions that are accelerated through a voltage drop V. The ions then enter a region with...
please explain your answers and please answer both to get a thumbs up! ri ure 1. A 2.17kg object is acted upon by a single conservative force in 1-d given by fr(x)-3-5a2, where fx is in Newtons if r is in meters. (a) Find the potential energy of the system when the object is at x = 2.45 m, assuming that U(0) = 0. (b) The object has a speed of 5.12 m/s and moves in the negative r direction,...
1. A spaceship of mass m iş attached to a space station of mass M so that the Earth in a uniform circular orbit with orbital radius Ro. At one instant, the spac from the space station along the direction of motion. After the cjection, space station move in two different elliptical orbits around the Eart spaceship in its new elliptical orbit is 8R from the earth). In the figure, the dashed line is the original orbit before the ej...