A block of mass 0.18 kg is attached to a spr | vedclass

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

Question

(B) Given:Mass of block,$m = 0.18 \ kg$Spring constant,$k = 2 \ N/m$Coefficient of friction,$\mu = 0.1$Distance travelled,$x = 0.06 \ m$Acceleration d

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(B) Given:Mass of block,$m = 0.18 \ kg$Spring constant,$k = 2 \ N/m$Coefficient of friction,$\mu = 0.1$Distance travelled,$x = 0.06 \ m$Acceleration due to gravity,$g = 10 \ m/s^2$Initial velocity,$v = N/10 \ m/s$According to the work-energy theorem,the work done by all forces is equal to the change in kinetic energy.$W_{	ext{spring}} + W_{	ext{friction}} = \Delta K$$-\frac{1}{2} kx^2 - \mu mgx = 0 - \frac{1}{2} mv^2$Rearranging the terms:$\frac{1}{2} mv^2 = \frac{1}{2} kx^2 + \mu mgx$$v^2 = \frac{kx^2}{m} + 2\mu gx$Substituting the values:$v^2 = \frac{2 	imes (0.06)^2}{0.18} + 2 	imes 0.1 	imes 10 	imes 0.06$$v^2 = \frac{2 	imes 0.0036}{0.18} + 0.12$$v^2 = \frac{0.0072}{0.18} + 0.12$$v^2 = 0.04 + 0.12 = 0.16$$v = \sqrt{0.16} = 0.4 \ m/s$Given $v = N/10$,so $0.4 = N/10$,which implies $N = 4$.

Column-$I$	Column-$II$
$(1)$ Static friction	$(a)$ Limiting friction
$(2)$ Rolling friction	$(b)$ Ball bearing
	$(c)$ Object moving on a road

Similar Questions

If $M_2 = 2M_1$ and $\theta = 30^\circ$,the acceleration of $M_2$ is $a$. If the positions of the blocks are interchanged,what will be the acceleration of $M_2$?

For the given system,find the tension $T_2$ in the upper string.

Match Column-$I$ with Column-$II$ correctly.

Column-$I$ Column-$II$

$(1)$ Static friction $(a)$ Limiting friction

$(2)$ Rolling friction $(b)$ Ball bearing

$(c)$ Object moving on a road

The mass of a hydrogen molecule is $3.32 \times 10^{-27} \ kg$. If $10^{23}$ hydrogen molecules strike,per second,a fixed wall of area $2 \ cm^2$ at an angle of $45^\circ$ to the normal,and rebound elastically with a speed of $10^3 \ m/s$,then the pressure on the wall is nearly:

Vedclass Test Series

Exam Paper Generator

Online Exam Module