My Notes Ask Your Teacher 4. C+ 5/7 points I Previous Answers SerPSE9 9.P.011.W

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My Notes Ask Your Teacher 4. C+ 5/7 points I Previous Answers SerPSE9 9.P.011.W on a frictionless horizontal surface. A light spring is attached to the more Two blocks of masses m and 3m are placed massive block, and the blocks are pushed together with the spring between them as shown in the figure below. A cord initially holding the blocks together is burned; after that happens, the block of mass 3m moves to the right with a speed of v 3m 2.60 m/s 3m. Before 3m. After (a) What is the velocity of the block of mass m? (Assume right is positive and left is negative.) 4.50 m/s (b) Find the system's original elastic potential energy, taking m 0.410 kg 8.31 J

Explanation / Answer

(a) Applying conservation of momentum -

0 + 0 = m*v + 3m*2.60

=> v = -7.80 m/s

The negative sign indicates that the velocity is towards the left direction.

(b) System's original elatic potential energy, PE = 0.5*0.410*(-7.8)^2 + 0.5*(3*0.410)*(2.60)^2

= 12.47 + 4.16 = 16.63 J

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