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A body of mass m(1) moving with uniform...

A body of mass `m_(1) ` moving with uniform velocity of 40 m/s collides with another mass `m_(2)` at rest and then the two together begin to moe wit h uniform velocity of 30 m/s. the ratio of their masses `(m_(1))/(m_(2))` is

A

`3:4`

B

`3:2`

C

`12:1`

D

`3:1`

Text Solution

Verified by Experts

The correct Answer is:
D
`18km//h=5m//s,72km//h=20m//s`
and`9km//h=2.5m//s`
According to the law of conservation of linear momentum
`m_1u_1+m_2u_2=m_1v_1+m_2v_2` `(v_1is-ve)`
`therefore400times20+4000times2.5=400times(-5)+4000timesv_2`
`therefore20+25=5+10v_2`
`therefore10v_2=20+25+5=50`
`thereforev_2=5m//s=18km//h`
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