Two points, A and B, lie 3m apart on a smooth horizontal surface. A light, elastic string,

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Two points, A and B, lie 3m apart on a smooth horizontal surface. A light, elastic string, of natural length 0.8 m and modulus of elasticity 70N, is attached to A. Its other end is attached to a particle, P, of mass in. A second light, elastic string, of natural length 1.3 m and modulus of elasticity 50N, is attached to the point B. Its other end is also attached to the particle P. The particle is allowed to rest in equilibrium. Find the distance BP.

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