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Two particles of a mass 2m and m are tie...

Two particles of a mass 2m and m are tied with an inextensible string the particle of mass m is given a speed V as shown in the figure. Find the speed with which the particle of mass 2m starts moving.

Text Solution

Verified by Experts

A string will appy equal force at its both ends and hence equal impluses. Thus, for particle of mass 2m.
`I=2mv_(1)" "…(i)`
For particle of mass m,
`I=mv-mv_(1)" "…(ii)`
Solving equation (i) and (ii)
`mv-mv_(1)=2mv_(1)`
`v_(1)=(mv)/(3m)=v/3`
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Knowledge Check

  • A particle of mass m_0 , travelling at speed v_0 . Strikes a stationary particle of mass 2m_0 . As a result of the particle of mass m_0 is deflected through 45^@ and has a final speed of v_0/sqrt2 . Then the speed of the particle of mass 2m_0 after this collision is

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