A uniform electric field of 1.6 x 10^3 V/m and a uniform magnetic field of 3.34 x 10^-3 Wb/m^2 are parallel to each other and are acting along the Z-direction. A beam of Hydrogen ions of energy 150 eV is released in the X direction. A photographic plate is placed normal to the motion of the ions at a distance of 0.5m from the or
Calculating the energy that will make the motion circular and finding the frequency of radial oscillations.
A particle of mass m moves under as an attractive central force Kr^4 with angular momentum l. For what energy will the motion be circular, and what is the radius of the circle? Find the frequency of radial oscillations if the particle is given a small radial impulse.
A plank of length 2l and mass M lies on a frictionless plane. A ball of mass m and speed Vo strikes its end (the plank is standing vertical and the ball strikes the top from the left). Find the final velocity of the ball, Vf, assuming that mechanical energy is conserved and that Vf is along the original line of motion. b)Fin
A yo-yo of mass M has an axle of radius b and a spool of radius R. Its moment of inertia can be taken to be MR^2/2 and the thickness of the string can be neglected. The yo-yo is released from rest. a) What it the tension in the cord as the yo-yo descends and as it ascends? b) The center of the yo-yo descends distance h be
See attached file. A roll of paper towels is a uniform hollow cylinder, mass M=.75 kg, outer radius Ro=.084 m, inside radius of the hollow core Ri=.036 m. The roll is mounted on frictionless bearings. See attachment #1 for a picture showing parameters. By pulling on the paper towel with a tangential force P=.25 nt, sta
1a) A steel block with a mass of 62 kg is drawn along a horizontal surface. It is pulled by a rope that is 27 degrees above the horizontal with a 73 N force. What is the coefficient of friction? Assume the object is moving at a constant speed. 1b) A block of steel weights 1.5 ton and is allowed to fall 1.5 m on to a spike.
A spring is compressed by 0.0800m and is used to launch an object horizontally with a speed of 2.40 m/s. If the object were attached to the spring, at what angular frequency (in rad/s) would it oscillate?
A 75.0 kg skier rides a 2830 m long lift to the top of a mountain. The lift makes an angle of 14.6 degrees with the horizontal. What is the change in the skier's gravitational potential energy?
A small marble is rolling on the inside of a parabolic bowl whose surface is given by z = ®r2 in cylindrical polar coordinates. There is no friction, but the gravity is pulling down (in the negative-z direction). Consider the most general case where the marble is free to move in any direction on the surface. (a) Identify all
A block of mass M= 2.5 kg is suspended in equilibrium by a long cord. A bullet of mass m= 0.055 kg, moving vertically upward with an unknown velocity v, hits the block from below. The block with embedded bullet then rises a total distance H= 1.2 meters above its initial position. Find v, the velocity of the bullet before impact.
A particle of mass m moves in one dimension along the positive x axis. It is acted on by a constant force directed toward the origin with magnitude B, and an inverse square law repulsive force with magnitude A/x^2. a) Find the potential energy function U(x) b) Sketch the energy diagram for the system when the maximum kineti
A roller coaster has an initial speed of 9.50 m/s at the top of the first hill, which is 44.00 m above the ground. Neglecting friction, what will be the speed of the roller coaster at the top of the next hill, which is 26.00 m above the ground?
A box sits at rest at the top of a frictionless hill, at a height of 40.50 m above the ground. The box slides down the hill, and then continues across rough ground (with coefficient of kinetic friction 0.36) until it stops. What distance will the box slide along the ground before coming to a stop?
A block of mass M slides along a horizontal table with speed Vo. At x=0 it hits a spring constant k and begins to experience a frictional force. The coefficient of friction is a variable and is given by u=bx, where b is a constant. Find the loss in mechanical energy when the block has come momentarily to rest.
Two point particles, each with charge Q, are placed at positions +- a x. A) What is the elctric potential anywhere along the y axis? B) How much energy does it take to move a thrid particle, charge Q, from infinity to a position in order to make an equilateral triangle among the charges? (ie. all edges have length 2a)
Two particles, of mass 1 kg and 3 kg, are traveling towards each other with velocities of 100 m/s and -40 m/s respectively. Using the laws of physics (e.g. conservation of energy & momentum) calculate the following: a) What are the initial energies of the particles? b) What are the final velocities of the particles? c) Wh
Draw a simple pendulum and label the locations of the maximum and minimum of (a) speed (b) acceleration (c) kinetic energy (d) potential energy
A sample of an ideal crosslinked rubber has a number average molecular weight between crosslinks of 5000 and a density of 900kg/m3. A block of this rubber, a cube of sides 100mm, is tested at a temperature of 300K. a). What is its tensile modulus? b). What is its shear modulus? Axes X, Y, and Z are chosen parallel to th
The lowest lying excited state of sodium is 2.104 eV above the ground state. Given that Planck's constant is 4.135x10 (to the negative 15 pwr.) eV/Hz, what color of light do you expect sodium atoms to give off? Table salt is the crystal sodium-chloride NaCl. If you have a gas burner in your kitchen, take some salt and throw it
Solar energy reaches the earth at a rate of about 1400 W/m^2 of surface perpendicular to the direction to the sun. By how much does the mass of sun decrease in each second?
An ideal, massless spring, pointing upwards from a surface has a mass of 3.0 kg placed on it, compressing it by 25 cm. The 3.0 kg mass is replaced by a 5.0 kg mass. The spring is then compressed by hand so that the end of the spring is 67 cm lower than the position of the spring when no mass is attached. The spring is then relea
Conservation of energy problem dealing with a frictionless pulley and two masses. Solution in MS Word.
A system containing a frictionless pulley is described in the diagram (see question attachment). If this system is released, at what speed does the 12.0 kg object hit the floor? HINT: Does the 12.0 kg object undergo free fall? Why or why not?