Two blocks A and B of mass m and 2m res...

Two blocks A and B of mass m and `2m` respectively are connected by a light spring of force constant k. They are placed on a smooth horizontal surface. Spring is stretched by a length x and then released. Find the relative velocity of the blocks when the spring comes to its natural length

`(sqrt((3k)/(2m)))`x

`(sqrt((2k)/(3m)))`x

`sqrt((2kx)/(m))`

`sqrt((3km)/(2x))`

Text Solution

Verified by Experts

Topper's Solved these Questions

CENTRE OF MASS, IMPULSE AND MOMENTUM
DC PANDEY ENGLISH|Exercise More a than one option is Correct|1 Videos
CENTRE OF MASS, IMPULSE AND MOMENTUM
DC PANDEY ENGLISH|Exercise Comprehension type questions|15 Videos
CENTRE OF MASS, IMPULSE AND MOMENTUM
DC PANDEY ENGLISH|Exercise Comprehension type questions|15 Videos
CENTRE OF MASS
DC PANDEY ENGLISH|Exercise Medical entrances gallery|27 Videos
CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION
DC PANDEY ENGLISH|Exercise Level 2 Subjective|21 Videos

Similar Questions

Explore conceptually related problems

Two blocks A and B of masses 3 kg and 6 kg are connected by a massless spring of force constant "1800 N m"^(-1) and then they are placed on a smooth horizontal surface. The blocks are pulled apart to stretch the spring by 5 cm and then released. What is the relative velocity (in ms^(-1) ) of the blocks when the spring comes to its natural length?

Two blocks of masses m_(1) and m_(2) are connected by an ideal sprit, of force constant k . The blocks are placed on smooth horizontal surface. A horizontal force F acts on the block m_(1) . Initially spring is relaxed, both the blocks are at rest. What is acceleration of centre of mass of system at the instant of maximum elongation of spring

Two blocks A and B of masses m and 2m , respectively are connected by a spring of force constant k . The masses are moving to the right with uniform velocity v each, the heavier mass leading the lighter one. The spring is in the natural length during this motion. Block B collides head on with a third block C of mass m , at rest, the collision being completely inelastic. Calculate the maximum compression of the spring.

Two blocks of masses m_(1) and m_(2) are connected by an ideal sprit, of force constant k . The blocks are placed on smooth horizontal surface. A horizontal force F acts on the block m_(1) . Initially spring is relaxed, both the blocks are at rest. Which of the following statement is not true tn the watt of above system.

Two masses m_1 and m_2 re connected by a spring of spring constant k and are placed on as frictionless horizontal surface. Initially the spring is stretched through a distance x_0 when the system is released from rest. Find the distance moved by the two masses before they again come to rest.

Two blocks A and B of mass 2 m and m respectively are connected to a massless spring of spring constant K. if A and B moving on the horizontal frictionless surface with velocity v to right. If A collides with C of mass m elastically and head on, then the maximum compressions of the spring will be

Two blocks A and B of mass 2m and m respectively are connected to a massless spring of force constant K as shown in figure A and B are moving on the horizontal frcitionless surface with velocity v to right with underformed spring. If B collides with C elastically, then maximum compression of the spring will be

Two blocks A and B of mass m and 2m are connected together by a light spring of stiffness k . The system is lying on a smooth horizontal surface with block A in contact with a fixed vertical wall as shown in the figure. The block B is pressed towards the wall by a distance x_0 and then released. There is not friction anywhere. If spring takes time Deltat to aquire its natural length then average force on the block A by the wall is

Two blocks, of masses M and 2 M , are connected to a light spring of spring constant K that has one end fixed, as shown in figure. The horizontal surface and the pulley are frictionless. The blocks are released from when the spring is non deformed. The string is light. .

DC PANDEY ENGLISH-CENTRE OF MASS, IMPULSE AND MOMENTUM-Only one option is correct for JEE Advanced

As shown in the figure a body of mass m moving vertically with speed 3...
Text Solution
|
A hemisphere of radius R and mass 4 m is free to slide with its base o...
Text Solution
|
Two blocks A and B of mass m and 2m respectively are connected by a l...
Text Solution
|
A ball of mass m approaches a heavy wall of mass M with speed 4 m/s al...
Text Solution
|
A tennis ball bounces down a flight of stairs, striking each step in t...
Text Solution
|
A particle of mass m(1) moves with speed v and collides head on with a...
Text Solution
|
A gun fires a bullet. The barrel of the gun is inclined at an angle of...
Text Solution
|
A small block of superdense material has a mass (M)/(3) , where M is t...
Text Solution
|
A block of mass m is pushed towards a movable wedge of mass nm and hei...
Text Solution
|
A block of mass m slides down on inclined wedge of same mass m as show...
Text Solution
|
A block A slides over an another block B which is placed over a smooth...
Text Solution
|
The momentum of a particle is P = A + Bt^(2) . Where , A and B are con...
Text Solution
|
Velocity of centre of mass of two particles is v and the sum of masses...
Text Solution
|
Two blocks A and B of equal masses are attached to a string passing ov...
Text Solution
|
A rope thrown over a pulley has a ladder with a man of mass m on one o...
Text Solution
|
Two particles of equal mass have velocities vec v1 = 2 hat i= m//s^-1 ...
Text Solution
|
A particle of mass 2m is projected at an angle of 45^@ with horizontal...
Text Solution
|
Choose the correct option: A system of two blocks A and B and a wedg...
Text Solution
|
A small sphere of radius R is held against the inner surface of larger...
Text Solution
|
A block of mass m slides over a smooth wedge of mass M which is placed...
Text Solution
|