Two blocks of masses M and M3 are placed on a horizontal,frictionless surface. A

Question

Two blocks of masses M and M3 are placed on a horizontal,frictionless surface. A light spring is attached to one of them ,and the blocks are pushed together with the spring betweenthem. A cord initially holding them together is burned; afterthat happens, the block of mass 3M moves to the right with with aspeed of 2.00m/s.
a) what is the velocity of mass M?
b) what is the systems elastic potential energy, taking M=3.5kg
c)is the original energy in the spring or the cord? explain
d)is momentum conserved in the bursting process? How?

Explanation / Answer

(a)    for the system of the two blocks we getthat    p = 0    pi = pf    0 = M vm + (3 M) (2.00 m /s)    vm = ....... m / s (towards theleft) (b)    (1 / 2) k x2 = (1 / 2) MvM2 + (1 / 2) 3Mv3M2                     = ........ J (c)    the original energy is both in the springand the cord    the spring tries to convert its potentialenergy into kinetic energy there by dissipating its energy    there is a restricting energy in the ropenot to be burst

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