A block of mass 20 kg is sliding on a surface is incline at an angle of 45° with the horizontal. What will be th acceleration of the block if the coefficient of kineti friction between the block and the surface is 0.7 ?

Question

A block of mass 20 kg is sliding on a surface is incline at an angle of 45° with the horizontal. What will be th acceleration of the block if the coefficient of kineti friction between the block and the surface is 0.7 ? (A) 2.01 m / s 2 (B) 2.08 m / s 2 (C) 3.08 m / s 2 (D) None of these

Tardigrade Admin · Accepted Answer

Acceleration down the inclined plane a=g( sin θ-μk cos θ) <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/19f90d08593106a35e883c3a8d14c94a-.png" /> a=9.8((1/√2)-(0.71/√2)) a=(9.8/√2)(1-0.7) ⇒ a=2.08

Q. A block of mass $20 k g$ is sliding on a surface is incline at an angle of $4 5^{\circ}$ with the horizontal. What will be th acceleration of the block if the coefficient of kineti friction between the block and the surface is $0.7 ?$

$2.01 m / s^{2}$

$2.08 m / s^{2}$

$3.08 m / s^{2}$

None of these

Acceleration down the inclined plane
$a = g (sin θ - μ_{k} cos θ)$

$a = 9.8 (\frac{1}{2} - \frac{0.71}{2})$
$a = \frac{9.8}{2} (1 - 0.7)$
$\Rightarrow a = 2.08$

Q. A block of mass 20kg is sliding on a surface is incline at an angle of 45∘ with the horizontal. What will be th acceleration of the block if the coefficient of kineti friction between the block and the surface is 0.7?

2.01m/s2

2.08m/s2

3.08m/s2