SaraNextGen Study App [2023-24]
Last Updated On [03-11-2023]

Two balls of masses  and  are suspended from point  by two equal inextensible threads, each of length  m. Ball of mass  is drawn aside and held at the same level as  but at a distance  from , as shown in Fig. When ball  is released, it collides elastically with the stationary ball of mass

Velocity with which the ball of mass  collides with the other ball is

1 m/s

b)

2 m/s

c)

3 m/s

d)

4 m/s


Question ID - 101265 :-

Two balls of masses  and  are suspended from point  by two equal inextensible threads, each of length  m. Ball of mass  is drawn aside and held at the same level as  but at a distance  from , as shown in Fig. When ball  is released, it collides elastically with the stationary ball of mass

Velocity with which the ball of mass  collides with the other ball is

1 m/s

b)

2 m/s

c)

3 m/s

d)

4 m/s

1 Answer
5876 Votes
3537

Answer Key : (d) -

(d)

Ball of mass  falls freely till thread becomes taut. At that instant inclination  of the thread with the vertical be given by

Ball of mass  falls freely through height

Velocity of this ball at this instant is

It can be resolved into two components

i. , along the thread. But thread is inextensible, hence this component decreases to zero (due to tension developed in the thread)

ii. , perpendicular to the thread. Due to this component ball starts to move along a circle whose centre is at

According to law of conservation of energy,

Kinetic energy of ball  just before collision = Its kinetic energy at  + Further loss of its potential energy

According to law of conservation of momentum,

And coefficient of restitution,

Substituting and

 the height to which it rises is



Next Question :

Following question is based on analogy.  There are two pairs of letters combination in each question.  The first (left hand side) pair has some relationship between its members.  In the second pair, one member is missing.  Find this out from the options such that this pair has similar relationship as the first pair.

PRINCIPAL : LAPICNIRP : : ADOLESCENCE : ?

(a)

ECNCESELODA

(b)

ECNECSLEODA

(c)

ECNSCEELODA

(d)

ECNECSELODA


View Topper Answer

We hope we have given the updated helpful answer / content for your query in an easily accessible format to help you in preparing adequately. We do offer free support materials, 11th maths guide 11th maths guide 12th maths guide 10th maths guide, also for all the classes books and guide to all the students who sign up for SaraNextGen. Apart from traditional textbook queries, we've got conjointly provided further high order level thinking issues, that are seemingly to be expected in boards and competitive exams. It includes conceptual queries, MCQs, Long and short answer type queries, etc. These Questions are designed to learn each student and academics by providing chapter-wise further issues focusing totally on testing conceptual information with applications. Here, we've got provided a number of the necessary ways in which within which the solutions of all the Questions will profit students of class 1 to 12. If you have any queries, drop a message to us and we will get back to you at the earliest.


SaraNextGen