Two masses m_A and m_B moving with velocities | vedclass

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

Question

(A) In a one-dimensional elastic collision between two bodies,if the bodies exchange their velocities after the collision,it implies that the masses o

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(A) In a one-dimensional elastic collision between two bodies,if the bodies exchange their velocities after the collision,it implies that the masses of the two bodies must be equal.Let the initial velocities be $u_A = v_A$ and $u_B = -v_B$ (since they move in opposite directions).After the collision,the final velocities are $v'_A = -v_B$ and $v'_B = v_A$.Using the conservation of momentum: $m_A u_A + m_B u_B = m_A v'_A + m_B v'_B$.Substituting the values: $m_A v_A - m_B v_B = -m_A v_B + m_B v_A$.Rearranging the terms: $m_A(v_A + v_B) = m_B(v_A + v_B)$.Since $(v_A + v_B) 
eq 0$,we get $m_A = m_B$.Therefore,the ratio $\frac{m_A}{m_B} = 1$.

Two masses $m_A$ and $m_B$ moving with velocities $v_A$ and $v_B$ in opposite directions collide elastically. After the collision,the masses $m_A$ and $m_B$ move with velocities $v_B$ and $v_A$ respectively. The ratio $\frac{m_A}{m_B} = $

Similar Questions

The bob of a simple pendulum (mass $m$ and length $l$) is dropped from a horizontal position. It strikes a block of the same mass $m$ placed on a horizontal frictionless table. The collision is elastic. The kinetic energy of the block after the collision will be

$A$ body of mass $m$ having an initial velocity $v$,makes a head-on collision with a stationary body of mass $M$. After the collision,the body of mass $m$ comes to rest and only the body having mass $M$ moves. This will happen only when:

$A$ neutron moving with velocity $u$ collides elastically with a stationary atom of mass number $A$. If the collision is head-on and the initial kinetic energy of the neutron is $E$, then the final kinetic energy of the neutron after the collision is:

During an elastic collision between two bodies,which of the following statements are correct?
$I$. The initial kinetic energy is equal to the final kinetic energy of the system.
$II$. The linear momentum is conserved.
$III$. The kinetic energy during $\Delta t$ (the collision time) is not conserved.

$A$ body of mass $2 \ kg$ makes an elastic collision with another body at rest and continues to move in the original direction with one-fourth of its original speed. The mass of the second body which collides with the first body is ............... $kg$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module