Tardigrade
Question
Physics
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.

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:

The velocity $(v)$ of the block as a function of time $(t)$, when it moves on to the rough surface.

Work, Energy and Power Report Error

$v=0.5+2 t$

$v=0.5-2 t$

50%

$v=10-2 t$

None of these

50%

Solution:

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

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$v=0.5+2 t$

$v=0.5-2 t$

$v=10-2 t$

None of these

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

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4. A particle of mass $m$ is moving in a circular path of constant radius $r$ such that its centripetal acceleration $a_{c}$ is varying with time $t$ as $a_{c}=k^{2} \, rt^{2}$ , where $k$ is a constant. The power delivered to the particle by the force acting on it is

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

5. A barometer is constructed using a liquid (density $= 760 \,kg/m^{3})$ What would be the height of the liquid column, when a mercury barometer reads $76\, cm$ ?
(density of mercury $= 13600 kg/m^{3})$