A bullet of mass 0.02, kg travelling horizont | vedclass

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

Question

(C) Step $1$: Conservation of linear momentum during the perfectly inelastic collision.Let $m_1 = 0.02\, kg$ be the mass of the bullet and $u_1 = 250\

Vedclass · Accepted Answer

$0.51$

Vedclass · Answer

(C) Step $1$: Conservation of linear momentum during the perfectly inelastic collision.Let $m_1 = 0.02\, kg$ be the mass of the bullet and $u_1 = 250\, ms^{-1}$ be its initial velocity.Let $m_2 = 0.23\, kg$ be the mass of the block and $u_2 = 0\, ms^{-1}$ be its initial velocity.Let $v$ be the common velocity of the bullet and block after the collision.According to the law of conservation of momentum:$m_1 u_1 + m_2 u_2 = (m_1 + m_2) v$$0.02 	imes 250 + 0.23 	imes 0 = (0.02 + 0.23) v$$5 = 0.25 v$$v = \frac{5}{0.25} = 20\, ms^{-1}$Step $2$: Work-Energy theorem to find the coefficient of friction.The kinetic energy of the combined system is dissipated by the work done by friction.Initial kinetic energy $K = \frac{1}{2} (m_1 + m_2) v^2 = \frac{1}{2} 	imes 0.25 	imes (20)^2 = 0.125 	imes 400 = 50\, J$.The work done by friction $W = f_k \cdot d = \mu N \cdot d = \mu (m_1 + m_2) g \cdot d$.Equating work done to the initial kinetic energy:$50 = \mu 	imes 0.25 	imes 9.8 	imes 40$$50 = \mu 	imes 98$$\mu = \frac{50}{98} \approx 0.51$.

Similar Questions

When $25 \ g$ of a non-volatile solute is dissolved in $100 \ g$ of water,the vapour pressure is lowered by $0.225 \ mm$. If the vapour pressure of water at $20^{\circ}C$ is $17.5 \ mm$,what is the molecular weight of the solute?

Wires $A$ and $B$ have resistivities $\rho_A$ and $\rho_B$,where $\rho_B = 2 \rho_A$,and have lengths $l_A$ and $l_B$. If the diameter of wire $B$ is twice that of $A$ and the two wires have the same resistance,then the ratio $\frac{l_B}{l_A}$ is:

Which substance of biological origin is used to maintain and increase soil fertility?

Which of the following is true in the case of an adiabatic process,where $\gamma = C_p / C_V$?

Out of $13$ cricket players,$4$ are bowlers. In how many ways can a cricket team of $11$ players be formed such that at least $2$ bowlers are included?

Vedclass Test Series

Exam Paper Generator

Online Exam Module