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Chapter 9: Q. 2 (page 227)

Particle A has half the mass and eight times the kinetic energy of particle B. What is the speed ratio vA/vB?

Short Answer

Expert verified

Ratio of speed vA/vB= 4

Step by step solution

01

Step:1 Given Information

ma = 1/2mb

KEa=8KEb

02

Explanation  

First find Kinetic energy

KEa = 1/2 ma va2...................................(1)

KEb = 1/2 mb vb2...................................(2)

Divide 1 by 2 , we get

KEaKEb=(1/2mava2)(1/2mbvb2)

As substitute the given ratio ma = 1/2mb and KEa=8KEb

so

8=(1/2mava2)(1/2mbvb2)va2vb2=8脳2vavb=4

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