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Initially block shown is at rest and the...

Initially block shown is at rest and the spring is unstretched, when a constant force F begins to act on it neglect friction. Find

maximum extension in the spring

Text Solution

Verified by Experts

`(2F)/(k)`
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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 m is connected to another block of mass M by a massless spring of spring constant k . the blocks are kept of a smooth horizontal plane and are at rest. The spring is unstretched when a constant force F starts acting on the block of mass M of pull it. Find the maximum extension of the spring

Knowledge Check

  • 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))`

  • 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
    (a) `(MF)/((m+M))`
    B
    (b) `(mF)/(M)`
    C
    (c) `((M+m)F)/(m)`
    D
    (d) `(mF)/((m+M))`

  • 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.

    A
    `(1)/(4)sqrt((mv^(2))/(k))`
    B
    `sqrt((mv^(2))/(k))`
    C
    `(1)/(2)sqrt((mv^(2))/(k))`
    D
    `2sqrt((mv^(2))/(k))`

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