MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Relative Velocity in 2D

Two particles...

Question

Two particles 'A' and 'B', move with constant velocities $_{1}$ and $_{2}$ respectively. At the initial moment, their position vectors are $_{1}$ and $_{2}$ respectively. The condition for particle 'A' and 'B' for their collision is

A

- \to r_{1} -_{2} =_{1} -_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

\frac{- \to r_{1} -_{2}}{(- \to r_{1} -_{2} ∣ ∣} = \frac{_{1} -_{2}}{(_{1} -_{2} ∣ ∣}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

_{1} ._{1} =_{2} ._{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

_{1} \times_{1} =_{2} \times_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $\frac{- \to r_{1} -_{2}}{(- \to r_{1} -_{2} ∣ ∣} = \frac{_{1} -_{2}}{(_{1} -_{2} ∣ ∣}$
For two particles to collide, the direction of the relative velocity of one with respect to other should be directed towards the relative position of one particle wrt other.
i.e. $\frac{- \to r_{1} -_{2}}{(- \to r_{1} -_{2} ∣ ∣}$ $\to$ direction of relative position of 1 w.r.t. 2
& $\frac{_{1} -_{2}}{(_{1} -_{2} ∣ ∣}$ $\to$ direction of velocity of 2 w.r.t. 1

So for collision of 'A' & 'B',
$\frac{- \to r_{1} -_{2}}{(- \to r_{1} -_{2} ∣ ∣} = \frac{_{1} -_{2}}{(_{1} -_{2} ∣ ∣}$

Suggest Corrections

thumbs-up

67

Similar questions

Q. Two particles 'A' and 'B', move with constant velocities

_{1}

_{2}

respectively. At the initial moment, their position vectors are

_{1}

_{2}

respectively. The condition for particle 'A' and 'B' for their collision is

Q. Two particles A and B, move with constant velocities

_{1}

_{2}

. At the initial moment their position vectors are

_{1}

_{2}

respectively. The condition for particles A and B for their collision is:

Q. The emf (V) and internal resistance (

r

) of a single battery which is equivalent to a parallel combination of two batteries of emf's

V_{1}

V_{2}

and internal resistance

r_{1}

r_{2}

, respectively, with polarities as shown in the figure are given by

\frac{V_{1} r_{2} - V_{2} r_{1}}{r_{1} + r_{2}}, \frac{r_{1} r_{2}}{r_{1} + r_{2}}

.

Q. Two planets are revolving around the Earth with velocities

v_{1}, v_{2}

r_{1}

r_{2}

r_{1} > r_{2}

) respectively. Then

Two satellites of masses $m_{1}$ and $m_{2} (m_{1} > m_{2})$ are revolving round the earth in circular orbits of radius $r_{1}$ and $r_{2} (r_{1} > r_{2})$ respectively. Which of the following statements is true regarding their speeds $v_{1}$ and $v_{2}$ ?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Relative Motion in 2D

PHYSICS

Watch in App

explore_more_icon

Explore more

Relative Velocity in 2D

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon