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  • A body 'A ' moving in a straight line with velocity v makes a perfectly elastic collision with a body 'B' initially at rest. After collision B acquires a velocity of 1.6 v . What is

A body 'A ' moving in a straight line with velocity v makes a perfectly elastic collision with a body 'B' initially at rest. After collision B acquires a velocity of 1.6 v . What is the ratio of the mass of "A" to that of 'B' 

Option: 1

4


Option: 2

0.25


Option: 3

0.33


Option: 4

0.5


Answers (1)

best_answer

As we have learned

Perfectly Elastic Collision -

e=1

- wherein

e\: :\: coefficient \: of\: restitution

 

 

 

e =1= \frac{v_2 -v_1 }{u_1 - u_2 } = \frac{1.6 v -v'}{v-0 }

v' =0.6 v

m_A*v=m_A*v'+m_B*1.6*v

m_A*v=m_A*0.6*v+m_B*1.6*v

0.4*m_A*v =m_B*1.6*v

\frac{m_A }{m_B } = 4

 

 

 

Posted by

Gautam harsolia

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