An object of mass m moving with velocity u co | vedclass

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

Question

(C) Let the mass of the first object be $m$ and its initial velocity be $u$. Let the mass of the second object be $M$ and its initial velocity be $0$.

Vedclass · Accepted Answer

$\frac{m}{M}$

Vedclass · Answer

(C) Let the mass of the first object be $m$ and its initial velocity be $u$. Let the mass of the second object be $M$ and its initial velocity be $0$. After the collision,the first object stops $(v_1 = 0)$.By the law of conservation of linear momentum:$m u + M(0) = m(0) + M v_2$$m u = M v_2$$v_2 = \frac{m u}{M}$The coefficient of restitution $e$ is defined as the ratio of the relative velocity of separation to the relative velocity of approach:$e = \frac{v_2 - v_1}{u_1 - u_2}$Substituting the values:$e = \frac{\frac{m u}{M} - 0}{u - 0} = \frac{m u / M}{u} = \frac{m}{M}$

An object of mass $m$ moving with velocity $u$ collides with another stationary object of mass $M$ and stops just after the collision. The coefficient of restitution is

Similar Questions

$A$ ball is projected vertically downward with an initial velocity from a height of $20 \ m$ onto a horizontal floor. During the impact,it loses $50\%$ of its energy and rebounds to the same height. The initial velocity of its projection is ............ $m/s$.

$A$ ball falls freely from a height $h$ on a rigid horizontal plane. If the coefficient of restitution is $e$,then the total distance travelled by the ball before hitting the plane the second time is

Two balls of equal mass undergo head-on collision while each was moving with speed $6 \, m/s$ in opposite directions. If the coefficient of restitution is $e = 1/3$,the speed of each ball after impact will be ............ $m/s$.

$A$ ball is dropped from a height $h$. It bounces repeatedly off the ground. What is the total distance covered by the ball before it comes to rest?

The sphere $A$ of mass $m$ moving with a constant velocity hits another sphere $B$ of mass $2m$ at rest. If the coefficient of restitution is $0.4$,the ratio of the velocities of the spheres $A$ and $B$ after collision is

Vedclass Test Series

Exam Paper Generator

Online Exam Module