A85 g particle undergoes shm with an amplitude of 2.0 mm, a maximum acceleration of magnitude 8.1 x 103 m/s2, and an unknown phase constant φ. what are (a) the period of the motion, (b) the maximum speed of the particle, and (c) the total mechanical energy of the oscillator? what is the magnitude of the force on the particle when the particle is at (d) its maximum displacement and (e) half its maximum displacement? a 65 kg solid sphere with a 14 cm radius is suspended by a vertical wire. a torque of 0.50 n·m is required to rotate the sphere through an angle of 0.95 rad and then maintain that orientation. what is the period of the oscillations that result when the sphere is then released?

Acube has a volume of 2011 cubic inches. what is the angle measure between a side of a cube and its interior diagonal?

Bone-strengthening physical activity done increases bone-mineral content and bone density in youth.

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 ..