1. Tardigrade
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  4. A block weighing 10 N travels down a smooth curved track A B joined to a rough horizontal surface (see figure). The rough surface has a friction coefficient of 0.20 with the block. If the block starts slipping on the track from a point 1.0 m above the horizontal surface, then it would move a distance s on the rough surface. The value of s is [g=10 ms -2]

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Q. A block weighing $10\, N$ travels down a smooth curved track $A B$ joined to a rough horizontal surface (see figure). The rough surface has a friction coefficient of $0.20$ with the block. If the block starts slipping on the track from a point $1.0\, m$ above the horizontal surface, then it would move a distance $s$ on the rough surface. The value of $s$ is $\left[g=10 \,ms ^{-2}\right]$Physics Question Image

Work, Energy and Power

Solution:

In the $A B$ path, Loss in $P E=$ Gain in $K E$
$m g h=\frac{1}{2} m u^{2} \Rightarrow u=\sqrt{2 g h}=\sqrt{2 \times 10 \times 1} \times 2 \sqrt{5} m / s$
On the frictional path, $W_{\text {friction }}=\Delta K$ $-\mu m g \cdot s=0-\frac{1}{2} m u^{2} \Rightarrow s=\frac{u^{2}}{2 \mu g}$
$=\frac{4 \times 5}{2 \times 0.2 \times 10}=5 m$