A pendulum of length 2 m consists of a wooden bob of mass 50 g. A bullet of mass 75 g is fired towards the stationary bob with a speed v. The bullet emerges out of the bob with a speed (v/3) and the bob just completes the vertical circle. The value of v is ms -1. (if g=10 m / s 2 )

Question

A pendulum of length 2 m consists of a wooden bob of mass 50 g. A bullet of mass 75 g is fired towards the stationary bob with a speed v. The bullet emerges out of the bob with a speed (v/3) and the bob just completes the vertical circle. The value of v is ms -1. (if g=10 m / s 2 ) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Considering Only Horizontal direction <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/a5f0f82b6bab311162d2255eda2b06cf-.png" /> (75 v)+0=50(√5 g R)+75 (v/3) 75(v-(v/3))=50 √100 v=10 m / s

Q. A pendulum of length 2m consists of a wooden bob of mass 50g. A bullet of mass 75g is fired towards the stationary bob with a speed v. The bullet emerges out of the bob with a speed 3v​ and the bob just completes the vertical circle. The value of v is _______ms−1. (if g=10m/s2 )

Considering Only Horizontal direction (75v)+0=50(5gR​)+753v​ 75(v−3v​)=50100​ v=10m/s

Considering Only Horizontal direction

$(75 v) + 0 = 50 (5 g R) + 75 \frac{v}{3}$
$75 (v - \frac{v}{3}) = 50100$
$v = 10 m / s$