A particle of mass m is moving with a horizon | vedclass

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

Question

(A) The final velocity $v_1$ of the first particle after a one-dimensional elastic collision is given by the formula:$v_1 = \left( \frac{m_1 - m_2}{m_

Vedclass · Accepted Answer

$2 \, m/s$ in the original direction

Vedclass · Answer

(A) The final velocity $v_1$ of the first particle after a one-dimensional elastic collision is given by the formula:$v_1 = \left( \frac{m_1 - m_2}{m_1 + m_2} \right) u_1 + \left( \frac{2m_2}{m_1 + m_2} \right) u_2$Given $m_1 = m$ and $m_2 = M$. Since $m Substituting these into the formula:$v_1 = \left( \frac{0 - M}{0 + M} \right) u_1 + \left( \frac{2M}{0 + M} \right) u_2$$v_1 = -u_1 + 2u_2$Given $u_1 = 6 \, m/s$ and $u_2 = 4 \, m/s$ (both in the same direction):$v_1 = -6 + 2(4) = -6 + 8 = 2 \, m/s$The positive sign indicates that the lighter particle moves in the original direction with a speed of $2 \, m/s$.

$A$ particle of mass $m$ is moving with a horizontal speed of $6 \, m/s$ as shown in the figure. If $m << M$,then for a one-dimensional elastic collision,the speed of the lighter particle after the collision will be:

Similar Questions

$A$ body of mass $M$ moves with velocity $v$ and collides elastically with another body of mass $m$ $(M >> m)$ at rest. Then,the velocity of the body of mass $m$ is:

$A$ particle with kinetic energy $K = 3 \ J$ makes an elastic head-on collision with a stationary particle of twice its mass. Which of the following statements is correct?

$A$ 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 ............... $kg$.

$Assertion$: $n$ small balls each of mass $m$ collide elastically each second on a surface with velocity $u$. The force experienced by the surface is $2mnu$.
$Reason$: On elastic collision,the ball rebounds with the same velocity.

Vedclass Test Series

Exam Paper Generator

Online Exam Module