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Two point masses are connected by a ligh...

Two point masses are connected by a light intextensible string are lying on a frictionless surface as shown in figure. An impulse of magnitude `10 kg-m//s` is given to `5 kg` block.

A

Velocity of `10 kg` block immediately after impulse is given `(1)/(3) m//s`

B

Velocity of `10 kg` block immediately after impulse is given `2 m//s`

C

Speed of `5 kg` block immediately after impulse is given `sqrt((28)/(9)) m//s`

D

Speed of `5 kg` block immediately after impulse is given `(sqrt(28))/(9) m//s`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Along the string `10 cos 60^(circ) = (15)v_(x)`
`rArr v_(x) = (1)/(3)m//s` for both `10 kg` and `5 kg`.
In the direction perpendicular to string
`10 sin 60^(circ) = 5v_(y) rArr v_(y) = sqrt(3) m//s`
Velocity of `10 kg = (1)/(3) m//s`,
velocity od `5 kg = sqrt(3+(1)/(9)) = (sqrt(28))/(3)m//s`
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Knowledge Check

  • Two blocks of masses of 40 kg and 30 kg are connected by a weightless string passing over a frictionless pulley as shown in the figure.

    A
    `0.7"ms"^(-2)`
    B
    `0.8"ms"^(-2)`
    C
    `0.6"ms"^(-2)`
    D
    `0.5"ms"^(-2)`

  • Two masses of 40kg and 30kg are connected by a weightless string passing over a frictionless pulley as shown in figure. The acceleration of the system would be

    A
    `0.7 ms^-2`
    B
    `0.8 ms^-2`
    C
    `0.6 ms^-2`
    D
    `0.5 ms^-2`

  • Two masses 40 kg and 30 kg are connected by a weightless string passing over a frictionless pulley as shown in the figure. The tension in the string will be

    A
    188 N
    B
    2=368 N
    C
    288 N
    D
    168 N