1) A spring has a spring constant k = 493 N/m. Let x = 0 referto the spring\'s u

Question

1) A spring has a spring constant k = 493 N/m. Let x = 0 referto the spring's unstretched length. What is the work (in J) neededto stretch the spring 2.7 cm, starting from x = 5.7 cm? 2)A molecule with mass 5.3E-26 kg has a kinetic energy of5.8E-21 J. How fast (in m/s) is the molecule moving? 1) A spring has a spring constant k = 493 N/m. Let x = 0 referto the spring's unstretched length. What is the work (in J) neededto stretch the spring 2.7 cm, starting from x = 5.7 cm? 2)A molecule with mass 5.3E-26 kg has a kinetic energy of5.8E-21 J. How fast (in m/s) is the molecule moving?

Explanation / Answer

     (1)          Spring constant, k= 493 N/m          Initial stretchedlength, x1 = 5.7 cm          Final stretchedlength, x2 = 8.4 cm          Work, W = ( 1/2 )k [ ( x2 )2 - ( x1 )2 ]                       = ( 1/2 ) * 493 * [ ( 8.4 )2 - ( 5.7 )2] * 10 -4                       = 0.94 J      (2)           Mass of themolecule, m = 5.3 E -26 kg           Kineticenergy, E = 5.8 E -21 J           Velocity, V= ( 2 E / m )                           = [ ( 2 * 5.8 x 10 -21 ) / 5.3 x 10-26 ]                           = 467.8 m/s

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