Last Updated On [03-11-2023]
A ball of mass 
is hung vertically by a thread of length 
m. Upper end of the thread is attached to the ceiling of a trolley of mass 
. Initially, the trolley is stationary and it is free to move along horizontal rails without friction. A shell of mass 
moving horizontally with velocity 
collides with the ball and gets stuck with it. As a result, the thread starts to deflect towards right
.png)
|
The velocity of the combined body just after collision is |
|||||||
|
a) |
2 m/s |
b) |
3 m/s |
c) |
1 m/s |
d) |
4 m/s |
Question ID - 101260 :- A ball of mass is hung vertically by a thread of length m. Upper end of the thread is attached to the ceiling of a trolley of mass . Initially, the trolley is stationary and it is free to move along horizontal rails without friction. A shell of mass moving horizontally with velocity collides with the ball and gets stuck with it. As a result, the thread starts to deflect towards right
The velocity of the combined body just after collision is
a)
2 m/s
b)
3 m/s
c)
1 m/s
d)
4 m/s
A ball of mass is hung vertically by a thread of length m. Upper end of the thread is attached to the ceiling of a trolley of mass . Initially, the trolley is stationary and it is free to move along horizontal rails without friction. A shell of mass moving horizontally with velocity collides with the ball and gets stuck with it. As a result, the thread starts to deflect towards right
|
The velocity of the combined body just after collision is |
|||||||
|
a) |
2 m/s |
b) |
3 m/s |
c) |
1 m/s |
d) |
4 m/s |
(b)
When shell strikes the ball and gets stuck with it, combined body of mass 
starts to move to the right. Let velocity of the combined body (just after collision) be 
. According to law of conservation of momentum,
As soon as the combined body starts to move rightwards, thread becomes inclined to the vertical. Horizontal component of its tension retards to the combined body while trolley accelerates rightwards due to the same component of tension
Inclination of thread with the vertical continues to increase till velocities of both (combined body and trolley) become identical or combined body comes to rest relative to the trolley. Let velocity at that instant of maximum inclination of thread be 
. According to law of conservation of momentum,
or
During collision of ball and shell, a part of energy is lost. But after that there is no loss of energy. Hence, after collision, kinetic energy lost is used up in increasing gravitational potential energy of the combined body
If maximum inclination of threads with the vertical is 
, then according to law of conservation of energy
or
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.
|
ABCD : WXYZ :: EFGH : ? |
|||||||
|
(a) |
STUV |
(b) |
STVU |
(c) |
VUTS |
(d) |
VTSU |
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.
