Centre of Mass 3 Question 11

14. This question has statement I and statement II. Of the four choices given after the statements, choose the one that best describes the two statements.

(2013 Main)

Statement I A point particle of mass m moving with speed v collides with stationary point particle of mass M. If the maximum energy loss possible is given as f12mv2, then

f=mM+m.

Statement II Maximum energy loss occurs when the particles get stuck together as a result of the collision.

(a) Statement I is true, Statement II is true, and Statement II is the correct explanation of Statement I

(b) Statement I is true, Statement II is true, but Statement II is not the correct explanation of Statement I

(c) Statement I is true, Statement II is false

(d) Statement I is false, Statement II is true

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Answer:

Correct Answer: 14. (d)

Solution:

  1. Maximum energy loss

=p22mp22(m+M)KE=p22m

Before collision the mass m and after collision the mass is m+M

=p22mM(m+M)=12mv2Mm+Mf=Mm+M



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