Two blocks of masses M and 3 M are placed ona horizontal, frictionless surface.

Question

Two blocks of masses M and 3M are placed ona horizontal, frictionless surface. A light spring is attached toone of them, and the blocks are pushed together with the springbetween them as shown in the figure below. A cord initially holdingthe blocks together is burned; after that happens, the block ofmass 3M moves to the right with a speed of 2.55 m/s. Images: http://www.webassign.net/serpse/serpse7_p9-4.gif (a) What is the velocity of the block of mass M?Assume right is positive and left is negative.
1 m/s
(b) Find the system's original elastic potential energy,taking M = 0.500 kg.
2 J

(c) Is the original energy in the spring or in the cord? Explainyour asnwer.
3 Two blocks of masses M and 3M are placed ona horizontal, frictionless surface. A light spring is attached toone of them, and the blocks are pushed together with the springbetween them as shown in the figure below. A cord initially holdingthe blocks together is burned; after that happens, the block ofmass 3M moves to the right with a speed of 2.55 m/s. Images: http://www.webassign.net/serpse/serpse7_p9-4.gif (a) What is the velocity of the block of mass M?Assume right is positive and left is negative.
1 m/s
(b) Find the system's original elastic potential energy,taking M = 0.500 kg.
2 J

(c) Is the original energy in the spring or in the cord? Explainyour asnwer.
3 (a) What is the velocity of the block of mass M?Assume right is positive and left is negative.
1 m/s
(b) Find the system's original elastic potential energy,taking M = 0.500 kg.
2 J

(c) Is the original energy in the spring or in the cord? Explainyour asnwer.
3

Explanation / Answer

(a)     for the given system of blocks p = 0     pi = pf     so that we get     0 = M vm + (3 M) (2.55 m / s)     solve for vm     vm = ......... m / s (motion inleftward direction) (b)     in this case we use     (1 / 2) k x2 = (1 / 2) MvM2 + (1 / 2) 3 Mv3M2                      = ........ J

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