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Q.

A body of mass m1  moving with a uniform velocity of 40m/s  collides with another of mass m2  at rest and then the two together begin to move with a uniform velocity of 30m/s. The ratio of their masses(m1m2)  is

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a

0.75

b

4.0

c

3

d

1.33

answer is C.

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Detailed Solution

Applying the principle of conservation of linear momentum, m1×40+m2×0=(m1+m2)30 ∴     4030=m1+m2m1=1+m2m1 m2m1=4030−1=1030=13  or  m1m2=31
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A body of mass m1  moving with a uniform velocity of 40m/s  collides with another of mass m2  at rest and then the two together begin to move with a uniform velocity of 30m/s. The ratio of their masses(m1m2)  is