A light particle moving horizontally with a s | vedclass

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

Question

(B) Let the mass of the light particle be $m_1$ and the mass of the heavy block be $m_2$. Since the block is very heavy,$m_2 \gg m_1$.For a one-dimens

Vedclass · Accepted Answer

Move at $8\ m/s$ in its original direction

Vedclass · Answer

(B) Let the mass of the light particle be $m_1$ and the mass of the heavy block be $m_2$. Since the block is very heavy,$m_2 \gg m_1$.For a one-dimensional elastic collision,the velocity of the first particle after collision $v_1'$ is given by:$v_1' = \frac{m_1 - m_2}{m_1 + m_2} v_1 + \frac{2m_2}{m_1 + m_2} v_2$Given $v_1 = 12\ m/s$ and $v_2 = 10\ m/s$. Since $m_2 \gg m_1$,we can approximate $\frac{m_1 - m_2}{m_1 + m_2} \approx -1$ and $\frac{2m_2}{m_1 + m_2} \approx 2$.Substituting these values:$v_1' \approx (-1) 	imes 12 + (2) 	imes 10$$v_1' \approx -12 + 20 = 8\ m/s$.Since the result is positive,the particle moves at $8\ m/s$ in its original direction.

$A$ light particle moving horizontally with a speed of $12\ m/s$ strikes a very heavy block moving in the same direction at $10\ m/s$. The collision is one-dimensional and elastic. After the collision,the particle will

Similar Questions

When two particles collide elastically,then impulsive force can't change

There are $n$ elastic balls placed on a smooth horizontal plane. The masses of the balls are $m, \frac{m}{2}, \frac{m}{2^2}, \ldots, \frac{m}{2^{n-1}}$ respectively. If the first ball hits the second ball with velocity $v_0$, then the velocity of the $n^{\text{th}}$ ball will be,

When two bodies collide elastically,then

There is a head-on elastic collision between two particles moving in the same direction with speeds $5 \,m/s$ and $3 \,m/s$ respectively. After the collision,the velocity of the first particle becomes $4 \,m/s$ in the same direction. What is the velocity of the second particle?

$A$ body of mass $2\,kg$ makes an elastic collision with a second body of mass $m$ at rest and continues to move in the original direction but with one-fourth of its original speed. What is the mass of the second body? ................ $kg$

Vedclass Test Series

Exam Paper Generator

Online Exam Module