A light, elastic string, of natural length 3/2 a and modulus of elasticity 2mg, is attached to

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A light, elastic string, of natural length 3/2 a and modulus of elasticity 2mg, is attached to a ceiling at the point A. The other end is attached to a particle, P, of mass 5m. A second light, elastic string, of natural length 5/2a and 2 modulus of elasticity 8mg, is attached to P. The other end of this string has a particle, Q, attached to it. The system is allowed to rest in equilibrium. Given that the mass of Q is 3m, find:

a. The distance AQ

b. The amount of elastic potential energy stored in the system.

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