Two particles A and B move with constant velo | vedclass

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

Question

(B) For two particles to collide,the relative velocity vector of one particle with respect to the other must be directed along the line joining their

Vedclass · Accepted Answer

$\frac{\vec{r}_1 - \vec{r}_2}{|\vec{r}_1 - \vec{r}_2|} = \frac{\vec{v}_2 - \vec{v}_1}{|\vec{v}_2 - \vec{v}_1|}$

Vedclass · Answer

(B) For two particles to collide,the relative velocity vector of one particle with respect to the other must be directed along the line joining their initial positions.Let the relative position vector be $\vec{r}_{rel} = \vec{r}_1 - \vec{r}_2$.The relative velocity vector is $\vec{v}_{rel} = \vec{v}_2 - \vec{v}_1$.For collision,the direction of the relative velocity must be the same as the direction of the relative position vector.Thus,the unit vectors must be equal:$\frac{\vec{r}_1 - \vec{r}_2}{|\vec{r}_1 - \vec{r}_2|} = \frac{\vec{v}_2 - \vec{v}_1}{|\vec{v}_2 - \vec{v}_1|}$.

Two particles $A$ and $B$ move with constant velocities $\vec{v}_1$ and $\vec{v}_2$. At the initial moment,their position vectors are $\vec{r}_1$ and $\vec{r}_2$ respectively. The condition for their collision is

Similar Questions

Animals devoid of respiratory,excretory,and circulatory organs are:

If the length of a stretched string is shortened by $x \%$ and the tension is increased by $44 \%$,then the ratio of the final and initial fundamental frequencies is $2:1$. The value of $x$ is:

If $\overrightarrow{a}, \overrightarrow{b}, \overrightarrow{c}$ are three vectors such that $\overrightarrow{a}=\overrightarrow{b}+\overrightarrow{c}$ and the angle between $\overrightarrow{b}$ and $\overrightarrow{c}$ is $\frac{\pi}{2}$,then:

$A$ $\xrightarrow{\Delta} B + C_{(gas)}$ $\xrightarrow{Ca(OH)_2} D_{(milky)} + H_2O$ $\xrightarrow{C_{(gas)}} E$. Then the incorrect statement is:

When bauxite powder is mixed with coke and reacted with nitrogen at $2075 \ K$,carbon monoxide and $X$ are formed. What is the gas formed when $X$ is reacted with water?

Vedclass Test Series

Exam Paper Generator

Online Exam Module