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) Let the mass of the bullet be $m_1 = 0.02 \ kg$ and its initial velocity be $u_1 = 250 \ ms^{-1}$.Let the mass of the block be $m_2 = 0.23 \ kg$ a

Vedclass · Accepted Answer

$0.51$

Vedclass · Answer

(C) Let the mass of the bullet be $m_1 = 0.02 \ kg$ and its initial velocity be $u_1 = 250 \ ms^{-1}$.Let the mass of the block be $m_2 = 0.23 \ kg$ and its initial velocity be $u_2 = 0 \ ms^{-1}$.By the law of conservation of linear momentum,the momentum before impact equals the momentum after impact:$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 = 0.25v$$v = \frac{5}{0.25} = 20 \ ms^{-1}$Now,the combined mass $M = m_1 + m_2 = 0.25 \ kg$ moves with initial velocity $v = 20 \ ms^{-1}$ and comes to rest after covering a distance $d = 40 \ m$ due to friction.The work done by friction equals the change in kinetic energy:$W = \Delta K$$f_k \cdot d = \frac{1}{2} M v^2$$(\mu M g) \cdot d = \frac{1}{2} M v^2$$\mu = \frac{v^2}{2gd} = \frac{20^2}{2 	imes 9.8 	imes 40}$$\mu = \frac{400}{784} \approx 0.51$

Similar Questions

The focal length of an equi-convex lens is greater than the radius of curvature of any of the surfaces. Then the refractive index of the material of the lens is

Heat is supplied to a diatomic gas at constant pressure. The ratio of $\Delta Q : \Delta U : \Delta W$ is

$A$ ball of density $\rho$ is released from deep inside a viscous liquid of density $2\rho$. It will move up:

Let $Q$ be the set of all rational numbers in $[0,1]$ and $f:[0,1] \rightarrow [0,1]$ be defined by $f(x) = \begin{cases} x & \text{for } x \in Q \\ 1-x & \text{for } x \notin Q \end{cases}$. Then,the set $S = \{x \in [0,1] : (f \circ f)(x) = x\}$ is equal to

The orthocentre of the triangle formed by the lines $x+3y=10$ and $6x^2+xy-y^2=0$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module