A shell of mass m moving with velocity v sudd | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Given that,mass of shell $= m$. Initial velocity of shell $= v$. Mass of the first part,$m_1 = \frac{m}{6}$. Mass of the second part,$m_2 = m - \f

Vedclass · Accepted Answer

$\frac{6v}{5}$

Vedclass · Answer

(A) Given that,mass of shell $= m$. Initial velocity of shell $= v$. Mass of the first part,$m_1 = \frac{m}{6}$. Mass of the second part,$m_2 = m - \frac{m}{6} = \frac{5m}{6}$. Velocity of the first part,$v_1 = 0$ (since it remains stationary). Let the velocity of the second part be $v_2$. According to the law of conservation of linear momentum,the total initial momentum must equal the total final momentum: $m v = m_1 v_1 + m_2 v_2$. Substituting the known values into the equation: $m v = \left(\frac{m}{6}ight) 	imes 0 + \left(\frac{5m}{6}ight) 	imes v_2$. $m v = \frac{5m}{6} v_2$. Solving for $v_2$: $v_2 = \frac{m v 	imes 6}{5m} = \frac{6v}{5}$. Thus,the velocity of the other part is $\frac{6v}{5}$ in the same direction as the original motion.

$A$ shell of mass $m$ moving with velocity $v$ suddenly breaks into two pieces. If one of those parts having mass $m/6$ remains stationary,find the velocity of the other part.

Similar Questions

$A$ shell of mass $m$ moving with velocity $v$ suddenly breaks into $2$ pieces. The part having mass $m/4$ remains stationary. The velocity of the other shell will be

In an explosion,a body breaks up into two pieces of unequal masses. In this process:

$A$ bomb of mass $9\,kg$ explodes into $2$ pieces of mass $3\,kg$ and $6\,kg.$ The velocity of the $3\,kg$ mass is $1.6\,m/s.$ The kinetic energy of the $6\,kg$ mass is ............ $J.$

$A$ man of mass $m_1$ is standing on a platform of mass $m_2$ kept on a smooth horizontal surface. If the man starts moving on the platform with a velocity $v$ relative to the platform,then the recoil velocity of the platform is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module