Ahorizontal turntable is made from a uniform solid disk and is initially rotating with angular velocity of 7.7 rad/s about a fixed vertical axis through its center. the turntable has a radius of 0.16 m and a moment of inertia of 0.01792 kg m2 about the rotation axis. a piece of clay, initially at rest, is dropped onto the turntable and sticks to it at a distance d= 0.28 m from its center as shown in the figure. the final angular velocity of the turntable and the clay after the collision is 3.7 rad/s. treat the piece of clay as a point particle and assume that there are no external torques acting on the system around the rotation axis. which of these quantities are conserved during the collision?
(a) the total linear momentum of the clay and the turntable.
(b) the total angular momentum of the clay and the turntable about the rotation axis.
(c) the angular momentum of the turntable about the rotation axis.
(d) the angular momentum of the clay about the rotation axis.
(e) the mechanical energy of the clay and the turntable

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 ..

Science and technology are interdependent. advances in one lead to advances in the other. give an example of this phenomenon.

Suppose you have three polarizing filters, with the second at an angle of 42∘ to the first and the third at an angle of 90∘ to the first. by what perfect will the original intensity of unpolarized light be reduced to after passing through all three filters?