Question
A block is projected along a rough horizontal road with a speed of 10m/s. If the coefficient of kinetic friction is 0.10, how far will it travel before coming to rest?
✓
Answer
Due to friction the body will decelerateLet the deceleration be ‘a’
$\text{R}-\text{mg}=0\Rightarrow\text{R = mg} \ ...(1)$
$\text{ma}-\mu\text{R}=0\Rightarrow\text{ma}=\mu\text{R}=\mu\text{mg}$ (from(1))
$\Rightarrow\text{a}=\mu\text{g}=0.1\times10=1\text{m/s}^2$
Initial velocity u = 10m/s
Final velocity v = 0m/s
$\text{a}=-1\text{m/s}^2$
$\text{S}=\frac{\text{v}^2-\text{u}^2}{2\text{a}}=\frac{0-10^2}{2(-1)}=\frac{100}{2}=50\text{m}$
It will travel 50m before coming to rest.
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