A block of mass m is projected towards a spring with velocity . The force constant of the spring is K. The block is projected from a distance from the free end of the spring .The collision between block and the wall is completely elastic. Match the following columnsColumn – I Column $$-$$ II $$A)$$ maximum compression of the spring $$P)$$ −$$KV02m$$ $$B)$$ Energy of oscillations of block $$Q)$$ $$mV02kC)$$ Time period of oscillations $$R)$$ $$12mV02D)$$ maximum acceleration of the $$S)$$ $$2lV0+$$πmk

Question

A block of mass m is projected towards a spring with velocity  . The force constant of the spring is K. The block is projected from a distance  from the free end of the spring .The collision between block and the wall is completely elastic. Match the following columnsColumn – I                                                                                         Column $$-$$ II $$A)$$ maximum compression of the spring                                 $$P)$$  −$$KV02m$$     $$B)$$ Energy of oscillations of block                                              $$Q)$$  $$mV02kC)$$ Time period of oscillations                                                     $$R)$$ $$12mV02D)$$ maximum acceleration of the                                               $$S)$$  $$2lV0+$$πmk

Infinity Learn · Accepted Answer

$$12Kx02=12mV02$$ $$x0=mV02KTime$$ period  $$T1=2T4+2t=2$$$$π$$$$2mK+2l0V0Energy$$ of oscillations $$=$$  $$12mV02$$

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