1.

A cone falling with a speed v_(0) strikes and penetrates the block of a packing material. The acceleration of the cone after impact is a=g-cx^(2). Where c is a positive constant and x is the penetration distance. If maximum penetration depth is x_(m) then the value of 'c' is (6gx_(m)+kv_(0)^(2))/(2x_(m)^(3)). The value of 'k' is

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