A ferry is crossing a river. The ferry is headed due north with a speed of 4.8 m/s relative to the water. If the river's velocity is 2.1 m/s east, what will the ferry's velocity be relative to an on-shore observer? Select one:

a.5.2 m/s at 24° E of N
b. 4.9 m/s at 28° E of N
c. 4.9 m/s at 62° E of N
d. 5.2 m/s at 28° E

You will be galileo perform the experiment to determine if objects with different mass fall at the same, or different, rates in the air and in a vacuum. (refer to the walk-through video to locate the online lab within the online textbook).

Bonds within one water molecule are examples of

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.