PhysicsEach of three blocks shown in figure has a mass 3kg. The wire connecting, blocks A and B has area of cross-section 0.005 cm2 and Young’s modulus of elasticity Y = 2 × 1011 N/m2. Neglect friction. Find the elastic potential energy stored per unit volume in wire connecting blocks A and B in steady state (in J/m2; take g = 10m/s2)

Each of three blocks shown in figure has a mass 3kg. The wire connecting, blocks A and B has area of cross-section 0.005 cm2 and Young's modulus of elasticity Y = 2 × 1011 N/m2. Neglect friction. Find the elastic potential energy stored per unit volume in wire connecting blocks A and B in steady state (in J/m2; take g = 10m/s2)

  1. A

    500

  2. B

    1000

  3. C

    2000

  4. D

    3000

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    Solution:

    3g – T1 = 3a 
    T1 –T2 = 3a 
    T2 = 3a 
    =  3g = 9a
    a = g/3 T2 = 3g/3 = g = 10N
    Strain EnergyV=12stress2Y

    =12(10)2(5 × 10-7)2 2 × 1011=1000

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