Consider the harmonic oscillator, for which the general solution is x(t) = A cos(wt) + B sin(wt) 1. Express the energy in terms of A and B and show it is time independent. 2. Choose A and B such that x(0)=x1 and x(T)=x2. 3. Write down the energy in terms of x1, x2 and T. 4. Calculate the action S for the trajectory conn
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Magnetism - Why is a piece if iron attracted to either pole of a magnet? The magnetic poles of the earth are called geomagnetic poles. Is the north geomagnetic pole a north magnetic pole or a south magnetic pole? ...
Questions 19 Why is a piece if iron attracted to either pole of a magnet? Question 20 The magnetic poles of the earth are called geomagnetic poles. Is the north geomagnetic pole a north magnetic pole or a south magnetic pole? Question 29 When a wire loop is rotated in a magnetic field, the direction of the curren
What is the physics behind a jump, for example - snowboard jump, skateboard jump, kite boarding jump, and bike jump?
Differentiate between particles that obey Bose-Einstein and Fermi-Dirac statistics, giving one example each. Give examples of particles that obey each of these statistics.
Two titanium spheres approach each other head on with the same speed and collide elastically. After the collision one of the spheres whose mass is 300 g remains at rest (a) what is the mass of the other sphere? (b) What is the speed of the two-sphere center of mass if the initial speed of each sphere is 2.0 m/s?
(Please see the attached file and solve problem number 3 only) Blocks A and B weigh 8 lb and 3 lb respectively and are connected by cord and pulley system and released from rest in the position shown with the spring undeformed (see attachment). Knowqing that the constant of the spring is k = 20 lb/ft, determine : a) the veloc
See the attached file. A rectangular conducting loop of width w, height h, and resistance R is mounted vertically on a nonconducting cart (see attachment). The cart is placed on the inclined portion of a track and released from rest at position P1 at a height y above the horizontal portion of the track. It rolls with negligib
Consider a two level system (such as the orientation of the magnetic moments of protons in a magnetic field, e.g. NMR). Let the spacing between the two levels be delta that is, the lower level has an energy of 0 and the other an energy of delta. Evaluate the following quantities in terms of delta and T. a) the partition function b) the internal energy c) the entropy In the limit of large T, does the system in the previous problem conform with the equipartition principle? Should it?
Consider a two level system (such as the orientation of the magnetic moments of protons in a magnetic field, e.g. NMR). Let the spacing between the two levels be delta that is, the lower level has an energy of 0 and the other an energy of delta. Evaluate the following quantities in terms of delta and T. a) the partition functio
Need a breakdown of solar power and how it works. Need an explanation that is focused on how solar power can be harnessed in constructing a solar powered car.
Please solve problems 6/140 and 6/127 only. Refer attachment for fig. Problem 6/140 : The sheave of 400 mm radius has a mass of 50 kg and a radius of gyration of 300 mm. The sheave and its 100 kg load are suspended by the cable and the spring which has a stiffness of 1.5 kN/m. If the system is released from rest with the spri
For a particle in a 1-dimensional box confined between 0<x<a , the initial state of a particle is given by phi = phi_1 + 3phi_2 + 2phi_3 (all phi's are functions of x). a) Normalize this wave function. b) If no energy measurements are made what is the expectation value of energy of this state at a later time t? c)
A thrill-seeking cat with mass 4.00 (rm kg) is attached by a harness to an ideal spring of negligible mass and oscillates vertically in SHM. The amplitude is 0.050 (rm m), and at the highest point of the motion the spring has its natural unstretched length. Calculate the elastic potential energy of the spring (take it to be zero
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Consider the ring-shaped body of the figure (see attachment). A particle with mass m is placed a distance x from the center of the ring, along the line through the center of the ring and perpendicular to its plane. Use F = -dU/dx to find the magnitude and direction of the force on the particle (using the variables G, M, m, x,
A girl springs from a trampoline with an initial upward velocity. At a given height above the trampoline, the girl grabs a box. What is the maximum height that the girl (with box) reaches?
A girl of mass m1= 60 kilograms springs from a trampoline with an initial upward velocity of v1= 8.0 meters per second. At height h= 2.0 meters above the trampoline, the girl grabs a box of mass m2 = 15 kilograms. For this problem, use g= 9.8 meters per second per second for the magnitude of the acceleration due to gravity. W
That neighbor's pesky kid now has new missiles that make elastic collisions- He insists on throwing 25.0 g rocks at your new 2.25 kg light fixture hanging by a 26.0 cm wire from the ceiling of your porch. If each rock strikes the fixture traveling at 10.0 m/s, how high will the light fixture go after it is hit by one of these
2. A steam pipe is covered with 1.50cm thick insulating material of thermal conductivity 0.200 cal s"1 cm"1 °C"1. How much energy is lost per second when the steam is at 200°C and the surrounding air is at 20.0°C? The pipe has a circumference of 800cm and a length of 50.0m. Neglect losses through the ends of the pipe.
A fun-loving 11.4 kg otter slides up a hill and then back down to the same place. she starts up at 5.75m/s and returns at 3.75m/s , how much mechanical energy did she lose on the hill? change of (E (mech))= ? J what happened to the energy?
A 1.50 box moves back and forth on a horizontal frictionless surface between two different springs, as shown in the accompanying figure. The box is initially pressed against the stronger spring, compressing it 4.00 , and then is released from rest. By how much will the box compress the weaker spring? What is the max
It takes 4.186 of energy to raise the temperature of 1.00 of water by 1.00 degree. How fast would a 2.00 kg cricket have to jump to have that much kinetic energy? How fast would a 4.00 kg cricket have to jump to have the same amount of kinetic energy? v = ? m/s
As shown in the figure (see attachment), a superball with mass m equal to 50 grams is dropped from a height of h1= 1.5 m. It collides with a table, then bounces up to a height of h2= 1.0 m. The duration of the collision (the time during which the superball is in contact with the table) is tc= 15 ms. In this problem, take the
An object with mass m, initially at rest, explodes into two fragments, one with mass m_A and the other with mass m_B, where m_A + m_B = m. a). If energy Q is released in the explosion, how much kinetic energy does each fragment have immediately after the collision? Express your answers in terms of the variables m_A, m_B, an
A particle moves along the x-axis while acted on by a single conservative force parallel to the x-axis. The force corresponds to the potential-energy function graphed in the figure. The particle is released from rest at point A. a). What is the direction of the force on the particle when it is at point A? (Positive or Negativ
A ball of mass m is attached to a string of length L. It is being swung in a vertical circle with enough speed so that the string remains taut throughout the ball's motion. Assume that the ball travels freely in this vertical circle with negligible loss of total mechanical energy. At the top and bottom of the vertical circle, th
Please see attached. 1. The two spheres of equal mass m are able to slide along the rotating horizontal black rod. If they are initially latched in position a distance r from the axis of rotation with the assembly rotating freely with an angular velocity of Wo. Determine the new angular velocity Wf after the spheres are rele
Please see attached...solve using energy equations, ie, potential, kinetic Calculate the maximum velocity of slider B if the system is released from rest with X = Y (the red line is a frictionless, mass less linkage of length .9 m ) Motion is in the vertical plane. Friction is negligible and the masses of A and B are equal
A block of mass m slides without friction on a table with speed v. It hits and compresses a spring of force constant k by a distance l. The spring then expands again ejecting the block in the opposite direction as it was originally traveling. Neglecting the mass of the spring, what is the speed of the object after it is ejected
A spring of constant k, compressed a distance x, is used to launch a mass m up a frictionless slope that makes an angle "theta" with the horizontal. Find an expression for the maximum distance along the slope that the mass moves after leaving the spring? How is the expression modified when you include kinetic friction in the pro