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A spring has a natural length of 50 cm a...

A spring has a natural length of 50 cm and a force constant of `2.0 xx 10^(3)` N`m^(-1)`. A body of mass 10 kg is suspended from it and the spring is stretched. If the body is pulled down to a length of 58 cm and released, it executes simple harmonic motion. The net force on the body when it is at its lowermost position of its oscillation is (10x) newton. Find value of x. (Take g=10m/`s^(2)`)

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Knowledge Check

  • The restoring force on the body of the above problem due to the spring when it is at its upper most position of its oscillation is

    A
    160 N
    B
    40 N
    C
    60 N
    D
    80 N

  • The force constant of a weightless spring is 16 N m^(-1) . A body of mass 1.0 kg suspended from it is pulled down through 5 cm and then released. The maximum energy of the sysytem (spring + body) will be

    A
    `2 xx 10^(2) J`
    B
    `4 xx 10^(2) J`
    C
    `8 xx 10^(2) J`
    D
    `16 xx 10^(2) J`

  • Force constant of a weightless spring is 16 Nm^(-1) . A body if mass 1 kg suspended from it is pulled down through 5 cm from its mean position and then released. The maximum kinetic energy of the body will be

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    `2 xx 10^(-2)`J
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    `4 xx 10^(-2)`J
    C
    `8 xx 10^(-2)`J
    D
    `16 xx 10^(-2)`J

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