Home
Class 12
PHYSICS
A 2 kg block moving with 10m//s strikes ...

A `2 kg` block moving with `10m//s` strikes a spring of constant `pi^(2)N//m` attached to `2Kg` block at rest kept on a smooth floor. The time for which rear moving block remain in contact with spring will be-

A

`sqrt(2)`

B

`(1)/(sqrt(2))s`

C

`1 s`

D

`1/2 s`

Text Solution

Verified by Experts

The correct Answer is:
C
Both the blocks remains in contact unitl the spring is in compression. In this time system complete half oscillation. By reduced mass concept time period of system
`T = 2pisqrt((mu)/(k)) = 2pisqrt((1)/(pi^(2))) = 2s`
`rArr` Required time `= T/2 = 2/2 = 1s`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Comprehension Base Questions (4)|2 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Comprehension Base Questions (5)|3 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Comprehension Base Questions (2)|2 Videos

  • RACE

    ALLEN|Exercise Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)|25 Videos

  • TEST PAPER

    ALLEN|Exercise PHYSICS|4 Videos

Similar Questions

Explore conceptually related problems

A block of mass m_(1) =2 kg slides along a firictionless table with a speed of 10m // s. Directly infront of it,and moving in the same direction is a block of mass m_(2) 5 kg moving at 3 m // s. A mass less spring with a spring constant 11.2 N // cm is attached to as shown in figure-5.146. When the block collide,what is the maximum compression of the spring ? Assume that the spring does not bend.

A block A of mass 2 kg is moving to right with a speed of 5 m/s on a horizontal smooth surface. Another block B of mass 2 kg, with a mass less spring of force constant K =200 N/m attached to it, is moving to left on the same surface with a speed of 3 m/s. Block A collides with the spring attached to B. Calculate (a) the final velocity of the block A. (b) the minimum kinetic energy of the system of two blocks during subsequent motion. (c) Repeat part (b) if there is no spring and the two blocks collide head on. Assume that the blocks are made of perfectly elastic material

Knowledge Check

  • Two springs of spring constant 6 N//m and 4 N//m are attached to a block of mass 1 kg and to fixed support. Then time period of the given oscillation is (consider sqrt(10) = pi )

    A
    1s
    B
    2s
    C
    0.5s
    D
    4s

  • A bullet weighing 10 g and moving with a velocity 300 m/s strikes a 5 kg block of ice and drop dead. The ice block is kept on smooth surface. The speed of the block after the the collision is

    A
    6 cm/s
    B
    60 cm/s
    C
    6 m/s
    D
    0.6 cm/s

  • A block of mass 'm' is connected to another block of mass 'M' by a spring (massless) of spring constant 'k' The blocks are kept on a smooth horizontal plane. Initially the blocks are at rest and the spring is unstretched Then a constant force 'F' starts acting on the block of mass 'M' to pull it. Find the force on the block of mass 'm' :

    A
    `(MF)/((m+M))`
    B
    `(mF)/(M)`
    C
    `((M+m)F)/m`
    D
    `(mF)/((m+M))`

    • Similar Questions

    Explore conceptually related problems

    A block of mass m is connect to another block of mass M by a massless spring of spring constant k. The blocks are kept on a smooth horizontal plane. Initially the blocks are at rest and the spring is unsrtretched when a constnt force F starts acting on the block of mass M to pull it. Find the maximum extension of the spring.

    A block of mass 0.18 kg is attached to a spring of force-constant 2 N//m . The coefficient of friction between the block and the floor is 0.1 Initially the block is at rest and the spring is un-stretched. An impulse is given to the block as shown in the figure. The block slides a distance of 0.06 m and comes to rest for the first time. The initial velocity of the block in m//s is V = N//10 . Then N is : .

    A block of mass m is connected to another block of mass M by a spring (massless) of spring constant k. The block are kept on a smooth horizontal plane. Initially the blocks are at rest and the spring is unstretched. Then a constant force F starts acting on the block of mass M to pull it. Find the force of the block of mass M.

    A block of mass 2kg is attached with a spring of spring constant 4000Nm^-1 and the system is kept on smooth horizontal table. The other end of the spring is attached with a wall. Initially spring is stretched by 5cm from its natural position and the block is at rest. Now suddenly an impulse of 4kg-ms^-1 is given to the block towards the wall. Approximate distance travelled by the block when it comes to rest for a second time (not including the initial one) will be (Take sqrt(45)=6.70 )

    A block of mass 2kg is attached with a spring of spring constant 4000Nm^-1 and the system is kept on smooth horizontal table. The other end of the spring is attached with a wall. Initially spring is stretched by 5cm from its natural position and the block is at rest. Now suddenly an impulse of 4kg-ms^-1 is given to the block towards the wall. Find the velocity of the block when spring acquires its natural length

    Home
    Profile