The thermal coefficient of linear expansion labo 5. if flat strips of iron and brass were bonded together and this bimetallic strip were heated. what would be observed? justify your answer, and draw a sketch of the situation. (hin: see appendix a. table a3, for a's.) 6. a pyrex graduated cylinder has a volume of exactly 200 ml at 0 °c. if its temperature is increased to 100 c, will its volume increase or decrease? compute the change in volume. 7. assume a metal rod with an initial length l, is heated through a temperature increase of at to a length ly and then cooled to its initial temperature-that is, through a temperature decrease of-δ t (same δ t increase and decrease). call the final length of the rod l2 after this thermal cycle. (a) show that eq. 19.3 implies that l.-l, [i-(adn2], that is、g+ 4 (b) what is the implication if the rod were taken through a number of such thermal cycles?

What happens to the velocity of the car when the upward pull of the cable is greater than the downward pull of gravity as the car rises toward the top?

Let v1, v2, w be three linearly independent vectors in r 3 . that is, they do not all lie on the same plane. for each of the following (infinite) set of vectors, carefully sketch it in r 3 , and determine whether or not it is a vector space (i. e., a subspace of r 3 ). explain your reasoning

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 ..