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

Question

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" /> (A) 5ms- 2 (B) 10ms- 2 (C) 20 m s- 2 (D) 15ms- 2

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-vqxalt89gsmn.png" /> FBD of block mg=Fs mg=μ N mg=μ Ma a=(g/μ )=(10/0.5) =20ms- 2

Q. A block of mass $10 k g$ is in contact with a cart. If the coefficient of static friction is $μ = 0.5$ , then the minimum acceleration of cart, that will prevent falling of block, is

$5 m s^{- 2}$

$10 m s^{- 2}$

$20 m s^{- 2}$

$15 m s^{- 2}$

FBD of block
$m g = F s$
$m g = μ N$
$m g = μ M a$
$a = \frac{g}{μ} = \frac{10}{0.5}$
$= 20 m s^{- 2}$

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

5ms−2

10ms−2

20ms−2

15ms−2