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  4. A small block of mass 50 g, compressing a spring (of spring constant k=500 Nm -1 ) by 10 cm is released on a horizontal surface. The surface to the right of A is rough (μ=0.2). Find the following: <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/546fe6920ff6f6cb43a706afcd664e87-.png /> The velocity (v) of the block as a function of time (t), when it moves on to the rough surface.

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Q. A small block of mass $50\, g$, compressing a spring (of spring constant $k=500\, Nm ^{-1}$ ) by $10\, cm$ is released on a horizontal surface. The surface to the right of $A$ is rough $(\mu=0.2)$. Find the following:
image
The velocity $(v)$ of the block as a function of time $(t)$, when it moves on to the rough surface.

Work, Energy and Power

Solution:

Using $v=u+a t$
$\Rightarrow v=10-\mu g t=10-2\, t$