Home
Class 11
PHYSICS
Two particles A and B are moving with co...

Two particles `A and B` are moving with constant velocities `v_1 and v_2`. At `t = 0`, `v_1` makes an angle `theta_0` with the line joining `A and B and v_2` makes an angle `theta_2` with the line joining `A and B`.
(a) Find the condition for `A and B` to collide.
(b) Find the time after which `A and B` will collide if separation between them is `d at t = 0`.
.

Text Solution

Verified by Experts

(a) For `A and B` to collide, their relative velocity must be directed along the line joining them.
Therefore their relative velocity along the perpendicular to this line must be zero.
Thus `v_1 sin theta_1 = v_2 sin theta_2`.
(b) `v_(A P P) = v_1 cos theta_1 + v_2 cos theta_2`
`t = (d)/(v_(a P P)) = (d)/(v_1 cos theta_1 + v_2 cos theta_2)`.
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS-2

    CENGAGE PHYSICS|Exercise Solved Examples|7 Videos

  • KINEMATICS-2

    CENGAGE PHYSICS|Exercise Exercise 5.1|15 Videos

  • KINEMATICS-1

    CENGAGE PHYSICS|Exercise Integer|9 Videos

  • KINETIC THEORY OF GASES

    CENGAGE PHYSICS|Exercise Compression|2 Videos

Similar Questions

Explore conceptually related problems

Two particles A and B are moving with constant velocities v_1 and v_2 . At t = 0 , v_1 makes an angle theta_0 with the line joining A and B and v_2 makes an angle theta_2 with the line joining A and B . Find their velocity of approach. .

Two particles are moving with velocities v_(1) and v_2 . Their relative velocity is the maximum, when the angle between their velocities is

Two particles 1 and 2 move with velocities vec v_1 and vec v_2 making the angles theta_1 and theta_2 with the line joining them, respectively. Find angular velocity of relative to 1 . .

The block A is moving downward with constant velocity v_(0.) Find the velocity of the block B. When the string makes an angle theta with the horizontal

Two bodies A and B are moving with velocities v_A and v_B , making an angle theta with each other. Determine the relative velocity of A w.r.t. B. What will be the relative velocity when the two bodies move in same direction

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 particle A and B for their collision is

Two bodies A and B are moving with velocities v_A and v_B , making an angle theta with each other. Determine the relative velocity of A w.r.t. B. What will be the relative velocity when the two bodies move in opposite directions ?

Two particles, 1 and 2, move with constant velocities v_1 and v_2 . At the initial moment their radius vectors are equal to r_1 and r_2 . How must these four vectors be interrelated for the particles to collide?

A particle of mass m is moving with constant velocity v_(0) along the line y=b . At time t=0 it was at the point (0,b) . At time t=(b)/(v_(0)) , the