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`. Find their velocity of approach.
.

Text Solution

Verified by Experts

Velocity of approach is the relative velocity along line `AB`
`v_(A P P) = v_1 cos theta_1 + v_2 cos theta_2`.
Doubtnut Promotions Banner Mobile Dark
|

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 . (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 . .

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 . .

Knowledge Check

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

    A
    zero
    B
    `pi//4`
    C
    `pi//2`
    D
    `pi`
  • A stone is thrown with a velocity v at an angle theta with the horizontal.Its speed when it makes an angle beta with the horizontal is

    A
    `v cos theta`
    B
    `v/(cos beta)`
    C
    `v cos theta cos beta`
    D
    `(v cos theta)/(cos beta)`
  • Two particle 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 particles A and B for their collision is

    A
    `vec(r_1) xx vec(v_1) = vec(r_2) xx vec(v_2)`
    B
    `vec(r_1) - vec(r_2) = vec(v_1) - vec(v_2)`
    C
    `(vec(r_1) - vec(r_2))/(|vec(r_1) - vec(r_2)|) = (vec(v_2) - vec(v_1))/(|vec(v_2) - vec(v_1)|)`
    D
    `vec(r_1). vec(v_1) = vec(r_2) . vec(v_2)`
  • Similar Questions

    Explore conceptually related problems

    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 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 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 particles A and B are moving with constant velocities V_(1)=hatj and v_(2)=2hati respectively in XY plane. At time t=0, the particle A is at co-ordinates (0,0) and B is at (-4,0). The angular velocities of B with respect to A at t=2s is (all physical quantities are in SI units)