Home
Class 12
PHYSICS
A spring has natural length 40 cm and sp...

A spring has natural length `40 cm` and spring constant `500 N//m`. A block of mass `1 kg` is attached at one end of the spring and other end of the spring is attached to a ceiling. The block is relesed from the position, where the spring has length `45 cm`.

A

the block will perform SHM of amplitude 5 cm.

B

the block will have maximum velocity `30sqrt(5)` cm/ sec.

C

the block will have maximum acceleration 15 m/`s^(2)`

D

the minimum potential energy of the spring will be zero .

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SIMPLE HARONIC MOTION

    MOTION|Exercise EXERCISE -2 (Leve-I I) ( SECTION - B ) (Time per iod and angu lar frequency in SHM)|5 Videos

  • SIMPLE HARONIC MOTION

    MOTION|Exercise EXERCISE -2 (Leve-I I) ( SECTION - C ) ( Two block system)|1 Videos

  • SIMPLE HARONIC MOTION

    MOTION|Exercise EXERCISE -2 (Leve-I) ( SECTION - H ) (Combination of two or more SHM)|1 Videos

  • SIMPLE HARMONIC MOTION

    MOTION|Exercise EXERCISE -3 Section - B Previous Year Problems | JEE MAIN|23 Videos

  • SOUND WAVES

    MOTION|Exercise Exercise - 3 (Section - B)|14 Videos

Similar Questions

Explore conceptually related problems

A spring of spring constant 200 N//m has a block of mass 1 kg hanging at its one end and form the other and the spring is attached to a celling of an elevator. The elevator rises upwards with an acceleration of g//3 . When acceleration is suddenly ceased , then what should be the angular frequency and elongationduring the time when the elevator is accelerating?

A spring of unstretched length 40 cm and spring constant k is attached to a block of mass 1 kg to one of its end. The other end of the spring is fixed on the top of a frictionless inclined plane of inclination theta = 45^(@) as shown in the figure, so that the spring extends by 3 cm. When the mass is displaced slightly and released the time period of the resulting oscillation is T. Determine the value of 5T close to nearest integer.

Knowledge Check

  • A spring of spring constant 200N//m has a block of mass 1kg hanging at its one end and other end of spring is attached to ceiling of an elevator. The elevator is rising upwards with an acceleration g//3 . What should be the angular frequency and elongation during the time when the elevator is accelerating?

    A
    `14.14 rad//s, 0.07 m`
    B
    `13 rad//s, 0.1m`
    C
    `14 rad//s, 0.05`
    D
    `10rad//s, 0.07`

  • In the figure shown a block of masss m is atteched at ends of two spring The other ends of the spring are fixed The mass m is released in the vertical plane when the spring are released The velocity of the block is maximum when

    A
    `k_(1)` is compressed and `k_(2)` is elongated
    B
    `k_(1)` is elongated and `k_(2)` is compressed
    C
    `k_(1)` and `k_(2)` both are compressed
    D
    `k_(1)` and `k_(2)` both are elongated.

  • Block is attached to system of springs. Calculate equivalent spring constant. .

    A
    `K`
    B
    `2K`
    C
    `3K`
    D
    `4K`

    • Similar Questions

    Explore conceptually related problems

    Natural length of a spring is 60 cm, and its spring constant is 4000 N/m. A mass of 20 kg is hung from it. The extension produced in the spring is, (Take g=9.8m//s^(2) )

    A block of mass 'm' is attached to a spring in natural length of spring constant 'k' . The other end A of the spring is moved with a constat velocity v away from the block . Find the maximum extension in the spring.

    Natural length of a spring is 60 cm and its spring constant is 4000 N/m. A mass of 20 kg is hung from it. The extension produced in the spring is (Take, g = 9.8 m//s^(2) )

    Natural length of a spring is 60 cm, and its spring constant is 4000 N/m, A mass of 20 kg is hung from it. The extension produced in the spring is (take g=9.8m//s^(2) )

    A block of 200 g mass is dropped from a height of 2 m on to a spring and compress the spring to a distance of 50 cm. The force constant of the spring is

    Home
    Profile