Charles designed a system to pull sleds uphill, but he needs to know the angle of the slope. he knows that the hill is 13 m high and that the distance from the base of the hill to the top is 20 m. calculate the angle of the slope. hint: you may assume that the hill forms a right triangle

Calculate the numbers of photons having a wavelength of 10.0 mm required to produce 1.0 kj of energycalculate the numbers of photons having a wavelength of 10.0 mm required to produce 1.0 kj of energy

A15 ohm resistor and a 25 ohm resistor are connected in parallel to a 60 volt battery. what is the power used by each device

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.