A block of mass m=2 kg is initially at rest | vedclass

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

Question

(A) $1$. First, we determine the normal force $F_N$ acting on the block. The forces in the vertical direction are the upward force $F_2$, the normal f

Vedclass · Accepted Answer

$2.5$

Vedclass · Answer

(A) $1$. First, we determine the normal force $F_N$ acting on the block. The forces in the vertical direction are the upward force $F_2$, the normal force $F_N$, and the downward gravitational force $mg$. Since the block is not moving vertically, the net vertical force is zero:$F_2 + F_N - mg = 0$$10 \ N + F_N - (2 \ kg)(10 \ m/s^2) = 0$$10 \ N + F_N - 20 \ N = 0$$F_N = 10 \ N$$2$. Next, we calculate the limiting static friction force $f_{s,max}$:$f_{s,max} = \mu_s F_N = 0.4 	imes 10 \ N = 4.0 \ N$$3$. The applied horizontal force is $F_1 = 6 \ N$. Since the applied horizontal force $F_1$ is greater than the limiting static friction force $f_{s,max}$ $(6 \ N > 4.0 \ N)$, the block will start to move.$4$. Once the block is in motion, the frictional force acting on it is the kinetic friction force $f_k$:$f_k = \mu_k F_N = 0.25 	imes 10 \ N = 2.5 \ N$Therefore, the magnitude of the frictional force acting on the block is $2.5 \ N$.

Similar Questions

$A$ body of mass $10 \,kg$ is kept on a rough horizontal surface with a coefficient of friction of $0.3$. If a horizontal force of $50 \,N$ is applied to the body, then the acceleration of the body is (Acceleration due to gravity $= 10 \,ms^{-2}$) (in $\,ms^{-2}$)

$A$ 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 ........ $m$. $(g = 10 \, m/s^2)$

$A$ uniform chain of length $L$ is lying on a horizontal table. If the coefficient of friction between the chain and the table top is $\mu$,what is the maximum length of the chain that can hang over the edge of the table without disturbing the rest of the chain on the table?

What is kinetic friction? What is rolling friction?

Vedclass Test Series

Exam Paper Generator

Online Exam Module