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  4. A metal ball-bearing of specific heat capacity c, moving with speed v, is brought to rest. All its kinetic energy is converted into thermal energy which it absorbs, causing a temperature rise Δ θ. What was the value of v :

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Q. A metal ball-bearing of specific heat capacity $c$, moving with speed $v$, is brought to rest. All its kinetic energy is converted into thermal energy which it absorbs, causing a temperature rise $\Delta \theta$. What was the value of $v$ :

Thermal Properties of Matter

Solution:

We use $KE =\frac{1}{2} m v^{2}$
$\frac{1}{2} m v^{2} =m c \Delta \theta$
$v^{2} =2 c \Delta \theta$
$v =\sqrt{2 c \Delta \theta}$