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Displacement of a beam of Hydrogen ions subjected to magnetic and electric fields.

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

Physics: Velocity of the ball assuming mechnaical energy is conserved

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

Yo-yo Tension and Average Force on the String

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

Calculating coefficient of friction and how far a spike goes into the ground

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?

Rotational Motion

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 Particle Moving In One Dimension

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

Energy conservation using centripetal motion.

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?

Calculating the loss of mechanical energy.

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.

Electic potential charges are estimated.

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)

Swinging pendulum

Draw a simple pendulum and label the locations of the maximum and minimum of (a) speed (b) acceleration (c) kinetic energy (d) potential energy

Determining the color of salt when it is thrown into a flame.

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

Calculation of maximum kinetic energy of a spring using various masses.

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