A 2.50kg mass is pushed against a horizontal spring of forceconstant k=25N/cm on

Question

A 2.50kg mass is pushed against a horizontal spring of forceconstant k=25N/cm on a frictionless air table. The spring isattached to a tabletop, and the mass is not attached to the springin anyway. When the spring has been compressed enough tostore 11.5J of potential energy in it, the mass is suddenlyreleased from rest. a) find the greatest speed the mass reaches,and where does this occur? b) what is the greatest acceleration ofthe mass, and where does it occur? Please help.... Thank You, A 2.50kg mass is pushed against a horizontal spring of forceconstant k=25N/cm on a frictionless air table. The spring isattached to a tabletop, and the mass is not attached to the springin anyway. When the spring has been compressed enough tostore 11.5J of potential energy in it, the mass is suddenlyreleased from rest. a) find the greatest speed the mass reaches,and where does this occur? b) what is the greatest acceleration ofthe mass, and where does it occur? Please help.... Thank You,

Explanation / Answer

greatest velocity =.>greatest kinetic energy so this is when there is no potential energy stored in it this happens when extension is 0 so K.E =11.5J=0.5mv*v=>v=3.033m/s greatest a is when extension is maximum i.e at extreme position 11.5J=0.5*2500N/m*x*x so x=0.0959m acceleration max= 2500*0.0959/2.5kg =95.9m/s2

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