A particle P of mass 0.35 kg is attached to the mid-point of a light elastic string

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A particle P of mass 0.35 kg is attached to the mid-point of a light elastic string of natural length 4 m. The ends of the string are attached to fixed points A and .8 which are 4.8m apart at the same horizontal level. P hangs in equilibrium at a point 0.7m vertically below the mid-point M of AB (see diagram).


i. Find the tension in the string and hence show that the modulus of elasticity of the string is 25 N.

P is now held at rest at a point 1 .8m vertically below M, and is then released.

ii. Find the speed with which P passes through M.

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