The mass of a ball a is double the mass of another ball b.The ball a moves at half the speed of the ball b.Calculate the ratio of the kinetic energy of a to the kinetic energy b.
Asked by rajneesh kumar
| 5th Dec, 2013,
08:38: PM
Expert Answer:
Let,
Mass of ball a = Ma
Mass of ball b = Mb
Velosity of ball a = Va
Velosity of ball b = Vb
Given that,
Ma = 2 Mb
Va = Vb/2
Kinetic energy of ball a Ka = 1/2 x Ma x Va2
Kinetic energy of ball b Kb = 1/2 x Mb x Vb2
Ka = 1/2 x Ma x Va2
=1/2 x (2 Mb) x (Vb/2)2
= Mb x 1/4 x Vb2
= 1/2 (1/2 x Mb x Vb2)
= 1/2 Kb
Ka /Kb = 1/2
Hence the ratio of kinetic energies of ball a and ball b is = 1/2
Answered by Komal Parmar
| 6th Dec, 2013,
12:33: AM
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