Mass and spring properties when in simple harmonic motion.

A mass sits on a frictionless table. It is attached to a wall by a spring. The mass is initially located at x = 0 when the spring is unstretched (equilibrium position). You pull the mass away from the equilibrium position, out to x = A, and then release it. The mass then oscillates horizontally back and forth in simple harmonic ...continues

True and false questions about a pendulum that has a mass on one end and undergoing simple harmonic motion.

Consider an ideal pendulum consisting of a "bob" of mass m hanging from a light (massless) string of length L. The pendulum swings back and forth in simple harmonic motion (SHM). You may assume that the oscillations are small, so that the motion is "ideal" SHM. Which of the following statements are true? (Give ALL correct answ ...continues

Working with destructive interference.

Two violinists are standing essentially at the same spot and are playing for a listener directly in front of them at some distance. Both violinists are playing the same note, with a frequency of 460.0 Hz. Because the sound waves emanate from the same location, the listener hears constructive interference. If one violinist is goi ...continues

Determining the beat frequency that results in sound pipes when the temperature changes.

Two pipes, equal in length, are each open at one end. Each has a fundamental frequency of 479 Hz at 18 C. In one pipe the air temperature is increased to 21 C. If the two pipes are sounded together, what beat frequency results?

Calculating the period of oscillation of a mass/spring system.

If a mass of 600.0 g is hung from the bottom of a vertical spring, the spring will stretch 28.0 cm. Now the hanging mass is removed, and the spring is placed horizontally on a frictionless table. One end of the spring is held fixed and the other end is attached to a 370.0 g mass. The mass is then pulled out a distance of 14.0 cm ...continues

Ranking pressures in order of increasing temperature.

You have six sealed containers, all having the same volume, that contain ideal gases with a different number of molecules at various pressures. The values of the number of molecules (N) and the pressure (P) are listed below. Rank these containers in order of increasing temperature, from smallest to largest. (If B is lowest, th ...continues

Measuring the speed of a bullet using a ballistic pendulum

A simple way to measure the speed of a bullet is with a ballistic pendulum. This consists of a wooden block mass, M, into which the bullet mass, m, is shot. The block is suspended from cables of length, l, and the impact of the bullet causes it to swing through a maximum angle, A. The initial speed of the bullet is v. a) How ...continues

Conservation of Momentum and Energy in a two particle collision

A simple and very violent chemical reaction is H+H > H2 + 5eV (1eV= 1.6 E-19 J, a healthy amount of energy on the atomic scale). However, when hydrogen atoms collide in free space they simply bounce apart! The reason is that it is impossible to satisfy the laws of conservation of momentum and conservation of energy in a simple t ...continues

Working with 2-D collisions within a laboratory frame.

A particle of mass m and velocity Vo collides elastically with a particle of mass M initially at rest and is scattered through angle, A, in the center of mass system. a) Find the final velocity of m in the laboratory system. b) Find the fractional loss of kinetic energy of m.

Proton collision

A proton makes a head-on collison with an unknown particle at rest. The proton rebounds straight back with 4/9 of its initial kinetic energy. Find the ratio of the mass of the unknown particle to the mass of the proton, assuming that the collision is elastic