Q. 37

The bob A of a pendulum released from horizontal to the vertical hits another bob B of the same mass at rest on a table as shown in Fig. 6.13. If the length of the pendulum is 1m, calculate

(a) the height to which bob A will rise after collision.

(b) the speed with which bob B starts moving. Neglect the size of the bobs and assume the collision to be elastic.



Answer :

Let be the mass of the bob and be the initial height of the bob.


Potential energy of a particle raised to the height h is =


And kinetic energy of the particle with velocity v is given as


=


Just before collision, bob A reaches ground and its potential energy gets converted to kinetic energy,


conserving energy we get,



-----(1)


(a) Using the result that when two bodies of same mass collide, their velocities are mutually interchanged,


Bob A must come to rest and bob B must gain the velocity in equation (1).


a) from above we conclude the bob A will not rise to any height since its velocity will become zero after collision.


b) the velocities are interchanged,


velocity of bob B =


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Inelastic collisions in 1 DInelastic collisions in 1 DInelastic collisions in 1 D44 mins
Check Your progress Part 2| Interactive Quiz: Work, Energy & PowerCheck Your progress Part 2| Interactive Quiz: Work, Energy & PowerCheck Your progress Part 2| Interactive Quiz: Work, Energy & Power44 mins
Complete Revision of Work , Power and Energy | Mastering important chaptersComplete Revision of Work , Power and Energy | Mastering important chaptersComplete Revision of Work , Power and Energy | Mastering important chapters46 mins
Work, Energy & Power (Lecture 6)Work, Energy & Power (Lecture 6)Work, Energy & Power (Lecture 6)41 mins
Work, Energy & Power (Lecture 4)Work, Energy & Power (Lecture 4)Work, Energy & Power (Lecture 4)50 mins
Work, Energy & Power (Lecture 5)Work, Energy & Power (Lecture 5)Work, Energy & Power (Lecture 5)54 mins
Conservation of Linear Momentum, Visualize the concept (Theory + Interactive Quiz)Conservation of Linear Momentum, Visualize the concept (Theory + Interactive Quiz)Conservation of Linear Momentum, Visualize the concept (Theory + Interactive Quiz)41 mins
Interactive Quiz of Work Power energy | Check your progressInteractive Quiz of Work Power energy | Check your progressInteractive Quiz of Work Power energy | Check your progress53 mins
Work, Energy & Power (Lecture 2)Work, Energy & Power (Lecture 2)Work, Energy & Power (Lecture 2)44 mins
Work, Energy & Power (Lecture 3)Work, Energy & Power (Lecture 3)Work, Energy & Power (Lecture 3)47 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :