A block of mass m is moving on a rough horizo | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The surface exerts two forces on the block: the normal force $(N)$ acting vertically upwards and the kinetic frictional force $(f_{k})$ acting hor

Vedclass · Accepted Answer

$mg(1+\mu_{k}^{2})^{1/2}$

Vedclass · Answer

(A) The surface exerts two forces on the block: the normal force $(N)$ acting vertically upwards and the kinetic frictional force $(f_{k})$ acting horizontally opposite to the direction of motion.$1$. The normal force is $N = mg$.$2$. The kinetic frictional force is $f_{k} = \mu_{k} N = \mu_{k} mg$.$3$. The net force $(F_{net})$ exerted by the surface is the vector sum of the normal force and the frictional force:$F_{net} = \sqrt{N^{2} + f_{k}^{2}}$$F_{net} = \sqrt{(mg)^{2} + (\mu_{k} mg)^{2}}$$F_{net} = \sqrt{(mg)^{2} (1 + \mu_{k}^{2})}$$F_{net} = mg \sqrt{1 + \mu_{k}^{2}}$$F_{net} = mg(1 + \mu_{k}^{2})^{1/2}$Therefore,option $A$ is correct.

$A$ block of mass $m$ is moving on a rough horizontal surface. The coefficient of kinetic friction between the block and the surface is $\mu_{k}$. The net force exerted by the surface on the block is (where $g$ is the acceleration due to gravity).

Similar Questions

$A$ block of mass $5\,kg$ is placed at rest on a table with a rough surface. If a force of $30\,N$ is applied parallel to the surface of the table,the block slides through a distance of $50\,m$ in $10\,s$. Calculate the coefficient of kinetic friction. (Given: $g = 10\,m/s^2$)

$A$ cylinder of $10 \, kg$ is sliding on a plane with an initial velocity of $10 \, m/s$. If the coefficient of friction between the surface and the cylinder is $0.5$,then the distance it will cover before stopping is ........ $m$. $(g = 10 \, m/s^2)$

$A$ block $B$ is pushed momentarily along a horizontal surface with an initial velocity $V$. If $\mu$ is the coefficient of sliding friction between $B$ and the surface,the block $B$ will come to rest after a time:

$A$ body of mass $m$ moves with a velocity $v$ on a surface whose friction coefficient is $\mu$. If the body covers a distance $s$ before coming to rest,what is the initial velocity $v$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module