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  4. A block of mass 10 kg is in contact with a cart. If the coefficient of static friction is μ = text0.5 , then the minimum acceleration of cart, that will prevent falling of block, is <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-vqxalt894mlw.png />

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Q. A block of mass $10 \, kg$ is in contact with a cart. If the coefficient of static friction is $\mu =\text{0.5}$ , then the minimum acceleration of cart, that will prevent falling of block, is

Question

NTA AbhyasNTA Abhyas 2020Laws of Motion

Solution:

Solution
FBD of block
$mg=Fs$
$mg=\mu N$
$mg=\mu Ma$
$a=\frac{g}{\mu }=\frac{10}{0.5}$
$=20ms^{- 2}$