A cockroach of mass m lies on the rim of a uniform disk of mass 6.00*m that can rotate freely about its center. Initially the cockroach and disk rotate together with an angular velocity of 0.362 rad/s. The the cockroach walks halfway to the center of the disk.

(a) what then is the angular velocity of the cockroach-disk system?

(b) What is the ratio of the new kinetic energy of the system to its initial kinetic energy?

Astone is dropped from the upper observation deck of a tower, 250 m above the ground. (assume g = 9.8 m/s2.) (a) find the distance (in meters) of the stone above ground level at time t. h(t) = (b) how long does it take the stone to reach the ground? (round your answer to two decimal places.) s (c) with what velocity does it strike the ground? (round your answer to one decimal place.) m/s (d) if the stone is thrown downward with a speed of 2 m/s, how long does it take to reach the ground? (round your answer to two decimal places.) s