In a ballistics test, a 25 g bullet traveling horizontally at 1200 m/s goes through a 30-cm-thick 400 kg stationary target and emerges with a speed of 930 m/s. The target is free to slide on a smooth horizontal surface. (a) How long is the bullet in the target?
What average force does it exert on the target?
(b) What is the target's speed just after the bullet emerges?

Distinguish between a transverse wave and a longitudinal wave.

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)

The energy of a photon was found to be 3.38 × 10–19 j. planck’s constant is 6.63 × 10–34 j • s. which color of light corresponds to this photon?