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

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

Two particles of equal masses moving with same 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

The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is .

A Sphere makes an inslastic collision with another sphere of same mass , then both the spheres are moving .The angle between their direction of motion will be ……..

A man standing on the edge of a cliff throws a stone straight up with initial speed (u) and then throws another stone straight down with same initial speed and from the same position. Find the ratio of the speeds. The stones would have attained when they hit ground at the base of the cliff.

A sphere and a cube of same material and same total surface area are placed in the same evaculated space turn by turn after they are heated to the same temperature. Find the ratio of their initial rates of cooling in the enclosure.

On a frictionless surface , a block of mass . M moving at speed v collides elastically with another block of same mass M which is intially at rest /After collision the first block moes at an angle theta to its initial direction and has a speed v/3 The second block's speed after the collision is :

A ball is projected vertically upwards with a certain initial speed. Another ball of the same mass is projected at an angle of 60^(@) with the vertical with the same initial speed. At highest points of their journey, the ratio of their potential energies will be

Two particles are separated at a horizontal distance x as shown in (Fig. 5.57). They are projected at the same time as shown in the figure with different initial speed. Find the time after which the horizontal distance between the particles becomes zero. .

A ball of mass m , moving with a speed 2v_(0) collides inelastically ( e gt 0) with an identical ball at rest . Show that (a) For head - on collision , both the balls move forward . (b) For a general collision , the angle between the two velocities of scattered balls is less than 90^(@)