Home
Class 11
PHYSICS
What is the fractional decrease in kinet...

What is the fractional decrease in kinetic energy of a body of mass `m_1` when it makes a head on elastic collision with another body of mass `m_2` kept at rest?

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
`(K_i-K_f)/(K_i)=1-(K_f)/(K_i)`
`=(1-1/2m_1v_1^('2))/(1/2m_1v_1^2)=1-((v_1^()')/(v_1))^2`
`=1-[((m_1-m_2))/((m_1+m_2))v_1//v_1]^2`
`=(4m_1m_2)/((m_1+m_2)^2)`
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION

    DC PANDEY|Exercise Level 1 Assertion and Reason|15 Videos

  • CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION

    DC PANDEY|Exercise Level 1 Objective|42 Videos

  • CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION

    DC PANDEY|Exercise Exercise 11.5|4 Videos

  • CENTRE OF MASS, IMPULSE AND MOMENTUM

    DC PANDEY|Exercise Comprehension type questions|15 Videos

  • CIRCULAR MOTION

    DC PANDEY|Exercise Medical entrances s gallery|19 Videos

Similar Questions

Explore conceptually related problems

In a head on elastic collision of two bodies of equal masses

A body of mass m is at rest. Another body of same mass moving with velocity V makes head on elastic collision with the first body. After collision the first body starts to move with velocity

In head on elastic collision of two bodies of equal masses, it is not possible :

A particle of mass m_1 , makes a head on elastic collision with another stationary body of mass m_2 If m_1 , rebounds with half of its original speed then (m_1/m_2) is

A particle of mass m_1 makes a head on elastic collision with another stationary body of mass m_2 , If m_1 rebounds with half of its original speed then (m_1 /m_2) is

A particle moving with kinetic energy E makes and head on elastic collision with an identical particle at rest. Durig the collision

A moving body of mass m makes a head on elastic collision with another body of mass 2m which is initially at rest. Find the fraction of kinetic energy lost by the colliding particles after collision.

A particle of mass m moving with kinetic energy K , makes a head - on elastic collision with a stationary particle of mass eta m . The maximum potential energy stored in the system during the collision is

Two bodies 1 and 2 of masses m and M are kept slightly separated . A third body 3 of mass m coming from left with velocity v makes a head- on elastic collision with m . Show that if m ge M there are exactly two collisions and find all final velocities and if m le M there are three collisions and find all final velocities .