Home
Class 11
PHYSICS
After a completely inelastic collision t...

After a completely inelastic collision two objects of the same mass and same initial speed are found to move away together at half their initial speed. Find the angle between the initial velocities of the objects.

Text Solution

Verified by Experts

The correct Answer is:
`120^(@)`
`2m u cos. (theta)/(2) = 2mv`
`rArr v = u cos. (theta)/(2) = (u)/(2)`
`rArr "cos" (theta)/(2) = (1)/(2), (theta)/(2) = 60^(@), theta = 120^(@)`
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-V A|20 Videos

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-V B|19 Videos

  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-IV A|32 Videos

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise EXERCISE-IV ASSERTION & REASON|11 Videos

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN|Exercise Exercise 5 B (Integer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

After a totally inelastic collision, two objects of the same mass and same initial speeds are found to move together at half of their initial speeds. The angle between the initial velocities of the objects is

A ball of mass m moving with a velocity v undergoes an oblique elastic collision with another ball of the same mass m but at rest. After the collision if the two balls move with the same speeds , the angle between their directions of motion will be:

A particle of mass m is projected from the ground with an initial speed u_0 at an angle alpha with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision with another identical particle, which was thrown vertically upward from the ground with the same initial speed u_0. The angle that the composite system makes with the horizontal immediately after the collision is

Consider an oblique elastic collision between a moving ball and a stationary ball of the same mass. Both the balls move with the same speed after the collision. After the collision, the angle between the directions of motion of two balls is x degree. Find the value of x.

Two stones are projected simultaneously from a tower a differenct angles of projection with same speed 'u' . The distance between two stones is increasing at constant rate 'u' . Then the angle between the initial velocity vectors of the two stones is :

Consider the elastic collision f two bodies A and B of equal mass. Initially B is at rest and A moves with velocity v . After the collision -

Two particles of equal masses moving with same momentum collide perfectly inelastically. After the collision the combined mass moves with half of the speed of the individual masses. The angle between the initial momenta of individual particle is

An object A of mass 2 kg is moving on a frictionless horizontal track has perfectly inelastic collision with another object B of mass 3 kg made of the same material and moving in front of A in same direction their common speed after the collision is 4 m//s Due to the collision the temperature of the two objects which was initially the same, is increased though only by 0.006^(@) C What was the initial speed (in m//s) of the colliding object A before the collision?