While you are watching a TV show about life in the ancient world, you see that the people in one village used a solid sphere made out of clay as a kind of pulley to help hault up water from well. A well-greased wooden axle was placed through the center of the sphere and fixed in a horizontal orienation above the well, allowing the sphere to rotate freely. To demonstrate the depth of the well, the host of the program completely wrapped the rope around the sphere and suspended the bucket from one end. She then released the bucket, from rest and allowed it to descend to the botton of the well unwinding the string from the sphere as it went. It took 2 seconds. You wonder what the depth of the well was so you decide to calculate it. You estimate that the sphere has twice the mass of the bucket and assume that the mass of the rope can be neglected. You look up the moment of inertia of a sphere about an axis through its center of mass and find it as 2/5mr2.

Dinate system, and a charge q = - 2.00 nc is placed s2 10 n> c. (a) what is the change in electric potential energy when the dipole moment of a molecule changes its orientation with respect to es from parallel to perpendicular? (b) at what absolute temperature t is the average translational kinetic energy 32 kt of a molecule equal to the change in potential energy calculated in part(: abovethistemperature,thermalagitationprevents the dipoles from aligning with the electric field.) placed in a uniform electric field e with magnitude 1.6 * 6 on the positive x-axis at x = 4.00 cm. (a) if a third charge q3 = +6.00 nc is now placed at the point x = 4.00 cm, y = 3.00 cm, find the x- and y-components of the total force exerted on this charge by the other two. (b) find the magnitude and direction of figure p21.62 ll uu 21.55 . torque on a dipole. an electric dipole with dipole moment ps is in a uniform external electric field es. (a) find the orientations of the dipole for which the torque on the dipole is zero. (b) which of the orientations in part (a) is stable, and which is unstable? (hint: consider a small rotation away from the equi- librium position and see what happens.) (c) show that for the stable orientation in part (b), the dipole’s own electric field tends to oppose the external field. 21.62 ..

Debbie places two shopping carts in a cart corral she pushes the first cart which then pushes a second cart what force is being exerted

Under normal conditions, describe how increasing the temperatures effects the solubility of a typical salt