The analysis of a simple pendulum assumed that the mass was a particle, with no size. A realistic pendulum is a small, uniform diskof massMand radiusRat the end of a massless string, withLbeing the distance from the pivot to the center of the sphere. Find an expression for the period of this pendulum. SupposeM

The pressure, volume, and temperature of a mole of an ideal gas are related by the equation pv = 8.31t, where p is measured in kilopascals, v in liters, and t in kelvins. use differentials to find the approximate change in the pressure if the volume increases from 14 l to 14.6 l and the temperature decreases from 375 k to 370 k. (round the answer to two decimal places.)

As a pendulum bob swings back and forth several times, the maximum height it reaches becomes less and less. this is because more and more of the pendulum bob's energy is being transformed into a. heat energy b. kinetic energy c. potential energy d. kinetic energy and potential energy

The mantle is made up of which structural zones?