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System of Particles and Rotational Motion

Collision of two bodies

Two balls of masses m and 2 {~m} moving in opposite directions

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Medium

Solving time: 3 mins

Two balls of masses $m$ and $2 m$ moving in opposite directions collide head on elastically with velocities $v$ and $2 v$ . Find their velocities after collision

Name: Video solution 1: Two balls of masses m and 2 m moving in opposite directions collide head on elastically with velocities v and 2v. Find their velocities after collision
Uploaded: 2023-01-23T13:33:43.000Z
Duration: 15 min
Description: Video solution 1: Two balls of masses m and 2 m moving in opposite directions collide head on elastically with velocities v and 2v. Find their velocities after collision

Views: 5,628 students

Updated on: Jan 23, 2023

Book:

Mechanics Volume 2 (DC Pandey)

Found 2 tutors discussing this question

Chloe Discussed

Two balls of masses

m

and

2 m

moving in opposite directions collide head on elastically with velocities

v

and

2 v

. Find their velocities after collision

12 mins ago

Discuss this question LIVE

12 mins ago

Text solutionVerified

Here,

v_{1} = - v, v_{2} = 2 v, m_{1} = m

and

m_{2} = 2 m

.
Substituting these values , we get

v_{1}^{'} = (\frac{m - 2 m}{m + 2 m}) (- v) + (\frac{4 m}{m + 2 m}) (2 v) or v_{1}^{'} = \frac{v}{3} + \frac{8 v}{3} = 3 v

and

v_{2}^{'} = (\frac{2 m - m}{m + 2 m}) (2 v) + (\frac{2 m}{m + 2 m}) (- v)

v_{2}^{'} = \frac{2}{3} v - \frac{2}{3} v = 0

i.e. the second ball (of mass

2 m

) comes to a rest while the first (of mass

m

) moves with velocity

3 v

in the direction shown in Figure.
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Question Text	Two balls of masses $m$ and $2 m$ moving in opposite directions collide head on elastically with velocities $v$ and $2 v$ . Find their velocities after collision
Updated On	Jan 23, 2023
Topic	System of Particles and Rotational Motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 2
Upvotes	314
Avg. Video Duration	9 min

Two balls of masses $m$ and $2 m$ moving in opposite directions collide head on elastically with velocities $v$ and $2 v$ . Find their velocities after collision

Text solutionVerified

Filo tutor solutions (2)

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Two balls of masses m and 2 m moving in opposite directions collide head on elastically with velocities v and 2v. Find their velocities after collision

Text solutionVerified

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Two balls of masses $m$ and $2 m$ moving in opposite directions collide head on elastically with velocities $v$ and $2 v$ . Find their velocities after collision