A stationary object explodes into masses m1 and m2. They move in opposite directions with velocities v1 and v2. The ratio of kinetic energy E1 to kinetic energy E2 is
A
m2m1
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B
m1m2
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C
2m2m1
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D
2m1m2
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Solution
The correct option is Am2m1 As stationary object explodes into masses m1 and m2 and move in opposite direction. According to conservation of momentum m1v1=−m2v2⇒v1v2=−m2m1 Now, ratio of KE KE1KE2=1/2m1v211/2m2v22=m1m2[m2m1]2=m2m1