I\'m not even sure where to start this hw problem; its thevelocity that\'s throw

Question

I'm not even sure where to start this hw problem; its thevelocity that's throwing me off. A major league pitcher throws a baseball at a speed of 150.km/h. If the baseball weighs 220. g and its heat capacityis2.0 Jg-1K-1, calculate the temperature riseof the ball when it is stopped by the cather's mitt. Assume no heatis transferred to the catcher's mitt. Assume also that thecatcher's arm does not recoil when he or she catches theball. I'm not even sure where to start this hw problem; its thevelocity that's throwing me off. A major league pitcher throws a baseball at a speed of 150.km/h. If the baseball weighs 220. g and its heat capacityis2.0 Jg-1K-1, calculate the temperature riseof the ball when it is stopped by the cather's mitt. Assume no heatis transferred to the catcher's mitt. Assume also that thecatcher's arm does not recoil when he or she catches theball.

Explanation / Answer

Given speed , v = 150 Km/ h = 150* 5 / 8 = 93.75 m/s Weight of the bass ball , m = 220 g = 0.22 Kg specific heat capacity , c = 2 J g^-1 K^-1                                      = 2 * 1000 J Kg^-1 K^-1                                      =2000 J Kg^-1 K^-1 Heat gained by the bass ball = Kinetic energy                                  mcdt = ( 1/2 ) mv^2 From the above equation difference in temperature, dt = v^2 / ( 2c)                                                                                      =2.1972 oC

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