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Standard XII

Physics

Angular Velocity

A block of ma...

Question

A block of mass $19 M$ is suspended by a string of length $1 m$ . A bullet of mass $M$ hits it and gets embedded in it. The block just complete the circle in the vertical plane. Find the velocity of the bullet.

140 m s^{- 1}

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20 \sqrt{19.6} m s^{- 1}

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20 \sqrt{9.8} m s^{- 1}

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20 m s^{- 1}

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Solution

The correct option is C $140 m s^{- 1}$
Velocity of combined mass $= \sqrt{5 g R}$
using momentum conservation
$M \times V = 20 M \times \sqrt{5 g}$
$V = 20 \sqrt{5 g}$
$= 140$ m/s

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A block of mass 19M is suspended by a string of length 1m. A bullet of mass M hits it and gets embedded in it. The block just complete the circle in the vertical plane. Find the velocity of the bullet.

The correct option is C 140 ms−1Velocity of combined mass =√5gRusing momentum conservationM×V=20M×√5gV=20√5g=140 m/s

A block of mass $19 M$ is suspended by a string of length $1 m$ . A bullet of mass $M$ hits it and gets embedded in it. The block just complete the circle in the vertical plane. Find the velocity of the bullet.

The correct option is C $140 m s^{- 1}$
Velocity of combined mass $= \sqrt{5 g R}$
using momentum conservation
$M \times V = 20 M \times \sqrt{5 g}$
$V = 20 \sqrt{5 g}$
$= 140$ m/s