System of wedge and block connected by a massless spring as shown in figure is released with spring

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5.Work, Energy, Power and Collision

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The system of the wedge and the block connected by a massless spring as shown in the figure is released with the spring in its natural length. Friction is absent. maximum elongation in the spring will be

A

$\frac{{3Mg}}{{5k}}$

B

$\frac{{6Mg}}{{5k}}$

C

$\frac{{4Mg}}{{5k}}$

D

$\frac{{8Mg}}{{5k}}$

Solution

Using conservation of mechanical energy

$M g\left(x_{m} \sin \theta\right)=\frac{1}{2} \mathrm{K}\mathrm{x}_{m}^{2}$

$x_{m}=\frac{2 M g \sin \theta}{K}$

$sin 37=\frac 35$

$x_{m}=\frac{6 M g }{5K}$

Standard 11

Physics

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