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Q. A block of mass $\sqrt{2} kg$ is released from the top of an inclined smooth surface as shown in figure. If spring constant of spring is $100\, N / m$ and block comes to rest after compressing the spring by $1\, m$, then the distance travelled by block before it comes to rest isPhysics Question Image

Work, Energy and Power

Solution:

$U_{i}+k_{i}=U_{f}+k_{f}$
$\left(m g h \sin 45^{\circ}\right)+0=\frac{1}{2} k(1)^{2}+0$
by solving $h=5\, m$

Solution Image