(a) If the kinetic energy of a ball is tripled, by what factor has its speed inc
ID: 1723632 • Letter: #
Question
(a) If the kinetic energy of a ball is tripled, by what factor has its speed increased? (b) If the speed is quadrupled, bywhat factor does its kinetic energy increase? I would like the answers but also a simple way or maybea trick to solving these ratio problems, I always seem to havetrouble with them on my tests. (a) If the kinetic energy of a ball is tripled, by what factor has its speed increased? (b) If the speed is quadrupled, bywhat factor does its kinetic energy increase? I would like the answers but also a simple way or maybea trick to solving these ratio problems, I always seem to havetrouble with them on my tests.Explanation / Answer
kineticenergy K = (1/2)* m * V2 a. Let initial speed be 'u'and final speed be 'v' Kinitial = 0.5* m *u2, Kfinal = 0.5* m * v2 given Kfinal = 3* Kinitial => 0.5* m * v2 = 3 * ( 0.5 *m * u2) v = u* 3 i.e.speed of ball increases by a factor of 3. b. given v = 4* u Kinitial = 0.5* m *u2 --------(1) Kfinal = 0.5* m * v2 = 0.5 * m *(4 * u)2 = 16 * (0.5 * m *u2) ------ (2) Dividing Kfinal/ Kinitial = 16 i.e. k.e. increases by factor of 16. => 0.5* m * v2 = 3 * ( 0.5 *m * u2) v = u* 3 i.e.speed of ball increases by a factor of 3. b. given v = 4* u Kinitial = 0.5* m *u2 --------(1) Kfinal = 0.5* m * v2 = 0.5 * m *(4 * u)2 = 16 * (0.5 * m *u2) ------ (2) Dividing Kfinal/ Kinitial = 16 i.e. k.e. increases by factor of 16.Related Questions
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