Home
Class 11
PHYSICS
Two different unknown masses A and B col...

Two different unknown masses A and B collide. A is initially at rest when B has a speed v. After collision B has a speed v/2 and moves at right angles to its original direction of motion. Find the direction in which A moves after collision.

Text Solution

Verified by Experts

Momentium is censerved in both x and y direction.
In x - direction
`M_(B)V_(B)=O+M_(A)V_(A)'cos phi " "` ….(1)
In y - direction
`O = M_(B)V_(B)'-M_(A)V_(A)'sin phi " "` ….(2)
`((2))/((1)) tan phi = (V_(B)')/(V_(B))=(1)/(2)`
`tan phi =(1)/(2) therefore phi = 26.6^(@)` (or) `26^(@).36' [because 1^(@)=60']`
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    SURA PUBLICATION|Exercise EXERCISE QUESTIONS (V. CONCEPTUAL QUESTIONS.)|5 Videos

  • WORK, ENERGY AND POWER

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (I. MULTIPLE CHOICE QUESTIONS :)|37 Videos

  • WORK, ENERGY AND POWER

    SURA PUBLICATION|Exercise EXERCISE QUESTIONS (III. LONG ANSWER QUESTIONS.)|6 Videos

  • WAVES

    SURA PUBLICATION|Exercise VALUE BASED QUESTIONS|2 Videos

Similar Questions

Explore conceptually related problems

Two spheres A and B of masses m_1 and m_2 respectively collide . A is at rest initially and B is moving with v velocity along x-axis . After collision B has a velocity v/2 in a direction perpendicular to the original direction . The mass A moves after collision in the direction.

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

A block of mass m and a pan of equal mass are connected by a string going over a smooth light pulley as shown in figure. Initially the system is at rest when a particle of mass m falls on the pan and sticks to it. If the particle strikes the pan with a speed v find the speed with which the system moves just after the collision.

A bullet of mass m moving at a speed v hits a ball of mass M kept at rest. A small part having mass m ′ breaks from the ball and sticks to the bullet. The remaining ball is found to move at a speed v 1 ​ , in the direction of the bullet. Find the velocity of the bullet after the collision.

A railway carriage of mass 9000 kg moving with a speed of 36kmh^(-1) collides with a stationary carriage of same mass. After the collision, the carriages get coupled and move together. What is their common speed after collision? What type of collision is this?

A sphere of mass m rolls on a plane surface. Find its kinetic energy at an instant when its centre moves with speed v.

A lighter particle moving with a speed of 10 ms^(-1) collides with an object of double its mass moving in the same direction with half its speed. Assume that the collision is a one dimensional clastic collision. What will be the speed of both particles after the collision?