Home
Class 11
PHYSICS
After perfectly inelastic collision betw...

After perfectly inelastic collision between two identical balls moving with same speed in different directions, the speed of the combined mass becomes half the initial speed. Find the angle between the two before collision.

Text Solution

Verified by Experts

In perfectly inelastic collision between two particles, linear momentum is conserved. Let `theta` be the angle between the velocities of the two particles before collision. Then
`P^(2)=P_(1)^(2)+P_(2)^(2) +2P_(1)P_(2) cos theta` or
`(2m(v)/(2))^(2)=(mv)^(2)+(mv)^(2) +2(mv)(mv) cos theta`
or `1 = 1+1 + 2 cos^(●)` or `cos theta = -(1)/(2)`, (or) `theta = 120^@`.
Promotional Banner

Topper's Solved these Questions

  • WORK POWER AND ENERGY

    NARAYNA|Exercise C.U.Q-Key|75 Videos

  • WORK POWER AND ENERGY

    NARAYNA|Exercise Level- I (C.W)|60 Videos

  • WORK , ENERGY & POWER

    NARAYNA|Exercise EXERCISE IV|43 Videos

Similar Questions

Explore conceptually related problems

In a perfectly inelastic collision between two bodies

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.

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

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

Two identical balls each moving with speed v at right angle to each other collide perfectly inelastically. Their speed after 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 identical bodies moving in opposite direction with same speed, collide with each other. If the collision is prefectly elastic then

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:

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?