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

0

Similar questions

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. 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 point masses

1

2

move with uniform velocities

v_{1}

v_{2}

respectively. Their initial position vectors are

r_{1}

r_{2}

, respectively. Which of the following should be satisfied for the collision of the point masses?

Q. Two particles,

1

2

moves with constant velocities

v_{1}

v_{2}

. At the initial moment their radius vectors are equal to

r_{1}

r_{2}

. How must these four vectors be interrelated for the particles to collide.

Q. Two particles, 1 and 2, move with constant velocities

v_{1}

v_{2}

. At the initial moment their radius vectors are equal to

r_{1}

r_{2}

. The relation between these four vectors for the particles to collide is

\frac{(_{1} -_{2})}{|_{1} -_{2} |} = x \frac{(_{2} -_{1})}{|_{2} -_{1} |}

x

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