In the track shown in figure section AB is a quadrant of a circle of 1 metre radius. A block is released at A and slides without friction until it reaches B. After B it moves on a rough horizontal floor and comes to rest at distance 3 metres from B. What is the coefficient of friction between floor and body?

Question

In the track shown in figure section AB is a quadrant of a circle of 1 metre radius. A block is released at A and slides without friction until it reaches B. After B it moves on a rough horizontal floor and comes to rest at distance 3 metres from B. What is the coefficient of friction between floor and body? <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/20daf6dc7e51542d6315bef57eebab68-.png" /> (A) 1/3 (B) 2/3 (C) 1/4 (D) 3/8

Tardigrade Admin · Accepted Answer

m g l = (1/2) m u2 ⇒ u2=2 g (i) v2 ≡ u2+2 a s ⇒ 0=2 g-2 a(3) ⇒ a=(g/3) ⇒ μk g=a ∴ μk g=(g/3) ∴ μk=(1/3)

$1/3$

$2/3$

$1/4$

$3/8$

$m g l = \frac{1}{2} m u^{2}$
$\Rightarrow u^{2} = 2 g (i)$
$v^{2} \equiv u^{2} + 2 a s$
$\Rightarrow 0 = 2 g - 2 a (3)$
$\Rightarrow a = \frac{g}{3}$
$\Rightarrow μ_{k} g = a$
$∴ μ_{k} g = \frac{g}{3}$
$∴ μ_{k} = \frac{1}{3}$

1/3

2/3

1/4

3/8

mgl=21​mu2 ⇒u2=2g(i) v2≡u2+2as ⇒0=2g−2a(3) ⇒a=3g​ ⇒μk​g=a ∴μk​g=3g​ ∴μk​=31​

$1/3$

$2/3$

$1/4$

$3/8$

$m g l = \frac{1}{2} m u^{2}$
$\Rightarrow u^{2} = 2 g (i)$
$v^{2} \equiv u^{2} + 2 a s$
$\Rightarrow 0 = 2 g - 2 a (3)$
$\Rightarrow a = \frac{g}{3}$
$\Rightarrow μ_{k} g = a$
$∴ μ_{k} g = \frac{g}{3}$
$∴ μ_{k} = \frac{1}{3}$