In the arrangement shown in the figure, the w | vedclass

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

Question

(A) Given:Mass of block $1$, $m_1 = 0.36 \,kg$Mass of block $2$, $m_2 = 0.72 \,kg$Acceleration due to gravity, $g = 10 \,m/s^2$Time, $t = 1 \,s$The ac

Vedclass · Accepted Answer

$8$

Vedclass · Answer

(A) Given:Mass of block $1$, $m_1 = 0.36 \,kg$Mass of block $2$, $m_2 = 0.72 \,kg$Acceleration due to gravity, $g = 10 \,m/s^2$Time, $t = 1 \,s$The acceleration $a$ of the system is given by:$a = \frac{(m_2 - m_1)g}{m_1 + m_2} = \frac{(0.72 - 0.36) 	imes 10}{0.72 + 0.36} = \frac{0.36 	imes 10}{1.08} = \frac{3.6}{1.08} = \frac{10}{3} \,m/s^2$The tension $T$ in the string is:$T = m_1(g + a) = 0.36 	imes (10 + \frac{10}{3}) = 0.36 	imes \frac{40}{3} = 0.12 	imes 40 = 4.8 \,N$The displacement $s$ of the block $m_1$ in $t = 1 \,s$ is:$s = ut + \frac{1}{2}at^2 = 0 + \frac{1}{2} 	imes \frac{10}{3} 	imes (1)^2 = \frac{5}{3} \,m$The work done by the string on block $m_1$ is:$W = T 	imes s 	imes \cos(0^\circ) = 4.8 	imes \frac{5}{3} = 1.6 	imes 5 = 8 \,J$

In the arrangement shown in the figure, the work done by the string on the block of mass $0.36 \,kg$ during the first second after the blocks are released from a state of rest is: (Ignore friction and the mass of the string.)
(Acceleration due to gravity, $g = 10 \,m/s^2$) (in $\,J$)

Similar Questions

When the system is allowed to fall freely,the tension in the string between the $10 \, kg$ and $5 \, kg$ masses is .......... $N$.

Two masses $m_1 = 5\, kg$ and $m_2 = 4.8\, kg$ tied to a string are hanging over a light frictionless pulley. The acceleration of the masses when they are free to move is $...........\, m/s^2$. $(g = 9.8\, m/s^2)$

In the arrangement shown in the figure,the pulleys are massless and frictionless,and the threads are inextensible. The block of mass $m_1$ will remain at rest,if

Two masses $m_1 = 10 \ kg$ and $m_2 = 6 \ kg$ are attached to a string which passes over a frictionless smooth pulley. The acceleration of the masses is .......... $m/s^2$. (Take $g = 10 \ m/s^2$)

Two masses $M$ and $M/2$ are joined together by means of a light inextensible string passing over a frictionless pulley as shown in the figure. When the bigger mass is released,the smaller one will ascend with an acceleration of

Vedclass Test Series

Exam Paper Generator

Online Exam Module

In the arrangement shown in the figure, the work done by the string on the block of mass $0.36 \,kg$ during the first second after the blocks are released from a state of rest is: (Ignore friction and the mass of the string.)(Acceleration due to gravity, $g = 10 \,m/s^2$) (in $\,J$)