(a) using conservation of momentum
Initially both blocks were at rest,
so,
m1v1f + m2v2f = 0
m1v1f = - m2v2f
v1f = -m2v2f / m1
v1f = - 1.1 * 3.8 / 4.5
v1f = - 0.9288 m/s
negative sign indicates that block A moves to the west (-x direction)
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K.E of block A = 1.2mv2 = 0.5*4.5*0.92882 = 1.941 J
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K.E of block B = 0.5*1.1*3.82 = 7.942 J
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Total kinetic energy = 9.883 J
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As per energy conservation, the energy stored when compresses should be 9.883 J
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1/2kx2 = 9.883
k = 2*9.883 / 0.122
k = 1372.63 N/m
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