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Three particles each of mass 'm' can sli...

Three particles each of mass 'm' can slide on fixed frictionless circular track in the same horizontal plane as shown in the figure. Particle `m_(1)` moves with velocity `v_(0)` and hits particle `m_(2)`, the coefficient of restitution being `theta=1//2`. AsSigmae `m_(2)` and `m_(3)` are initially in rest and lie along a radial line before impact and the spring is initially Unstretched. Then,

The velocity of `m_(3)` when extension in the spring is maximum

A

`(1)/(10)v_(0)`

B

`(3)/(10)v_(0)`

C

`(7)/(10)v_(0) `

D

none of these

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • There particles each of mass m can slide on fixed frictioless circular tracks in the same horizontal plane as shown. Particle m_(1)(=m) moves with velocity v_(0) and hits particle m_(2)(=m) , the cofficient of restitution being e=0.5 . Assume that m_(2) and m_(3)(=m) are at rest initially and lie along a radial line before impact, and the spring is initially unstretched. Velocity of m_(2) immediately after impact is

    A
    `(v_(0))/4`
    B
    `(3v_(0))/4`
    C
    `(v_(0))/2`
    D
    `(3v_(0))/2`

  • Three particles each of mass m can slide on fixed frictionless horizontal circular tracks in the same horizontal plane as shown in the figure. The coefficient of restitution being e = 0.5 . Assuming that m_(2) and m_(3) are at rest initially and lie along a radial line before impact and the string is initially unstretched, then maximum extension in spring in subsequent motion

    A
    `(3)/(4)V_(0) sqrt((m)/(k))`
    B
    `(3)/(4)V_(0) sqrt((m)/(5k))`
    C
    `(3)/(4) V_(0)sqrt((2m)/(5k))`
    D
    `(3)/(5)V_(0)sqrt((m)/(k))`

  • A particle of mass m_(1) collides head on with a stationary particles of mass m_(2) . If (m_(1))/(m_(2)) gte, where e is the coefficient of restitution, then :

    A
    `m_(1)` will retrun back
    B
    `m_(1)` will move in same direction
    C
    `m_(1)` will stop
    D
    unpredictable

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