Scientists have concluded that the uppermost part of the mantle is partially-molten. Which observation helped them reach this conclusion?

Which of the following are molecules? a. al b. ag c. mgcl2 d. nacl e. c3h8

The center of a long frictionless rod is pivoted at the origin, and the rod is forced to rotate in a vertical plane with constant angular velocity \omega. write down the lagrangian for a bead of mass m threaded on the rod, using r as your generalized coordinate, where r, \phi are the polar coordinates of the bead. (notice that \phi is not an independent variable since it is fixed by the rotation of the rod tobe \phi = \omega * t) solve lagrange's equation for r(t). what happens if the bead is initially at rest at the origin? if it is released from any point ro > 0, show that r(t) eventually grows exponentially. explain your results in terms of the centrifugal force m* \omega ^2 *r.

Freya has a mass of 14kg she is running at 1.1m/s to the left when she runs into eric, who is standing still. eric has a mass of 18kg. after the collision, they continue moving together. what is their velocity after the collision. a. 0.48 m/s to the leftb. 2.5 m/s to the leftc. 0.86 m/s to the leftd. 1.4 m/s to the left