We wrap a light, nonstretching cable around a 8.00 kg solid cylinder with diameter of 30.0 cm. the cylinder rotates with negligible friction about a stationary horizontal axis. we tie the free end of the cable to a 13.0 kg block and release the block from rest. as the block falls, the cable unwinds without stretching or slipping. how far will the mass have to descend to give the cylinder 510 j of kinetic energy?

The temperature in gavin's oven is a sinusoidal function of time. gavin sets his oven so that it has a maximum temperature of 280°f and a minimum temperature of 240°. once the temperature hits 280°, it takes 20 minutes before it is 280° again. gavin's cake needs to be in the oven for 30 minutes at temperatures at or above 270°. he puts the cake into the oven when it is at 260° and rising. how long will gavin need to leave the cake in the oven? (round your answer to the nearest minute.)