The system shown in the figure is released fr | vedclass

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

Question

(B) Let $x$ be the extension in the spring when the $2\, kg$ block leaves contact with the ground. At this instant,the spring force must balance the w

Vedclass · Accepted Answer

$2\sqrt{2}\, m/s$

Vedclass · Answer

(B) Let $x$ be the extension in the spring when the $2\, kg$ block leaves contact with the ground. At this instant,the spring force must balance the weight of the $2\, kg$ block.$Kx = m_2g$$40 	imes x = 2 	imes 10$$x = \frac{20}{40} = 0.5\, m$Now,we apply the principle of conservation of mechanical energy for the $5\, kg$ block as it moves down by a distance $x = 0.5\, m$. The loss in gravitational potential energy of the $5\, kg$ block is equal to the gain in elastic potential energy of the spring plus the gain in kinetic energy of the $5\, kg$ block.$m_1gx = \frac{1}{2}Kx^2 + \frac{1}{2}m_1v^2$$5 	imes 10 	imes 0.5 = \frac{1}{2} 	imes 40 	imes (0.5)^2 + \frac{1}{2} 	imes 5 	imes v^2$$25 = 20 	imes 0.25 + 2.5v^2$$25 = 5 + 2.5v^2$$20 = 2.5v^2$$v^2 = \frac{20}{2.5} = 8$$v = \sqrt{8} = 2\sqrt{2}\, m/s$

The system shown in the figure is released from rest. The pulley and spring are massless,and friction is absent everywhere. The speed of the $5\, kg$ block when the $2\, kg$ block leaves contact with the ground is: (Take the force constant of the spring $K = 40\, N/m$ and $g = 10\, m/s^2$)

Similar Questions

Drops of liquid of density $d$ are floating half immersed in a liquid of density $\rho$. If the surface tension of the liquid is $T$,then the radius of the drop is

$A$ circular disc of radius $R$ is removed from a bigger circular disc of radius $2R$ such that the circumferences of the discs touch. The centre of mass of the new disc is at a distance $\alpha R$ from the centre of the bigger disc. The value of $\alpha$ is

Why are some genetic disorders not eliminated from the gene pool despite being harmful?

The value of $\lambda$ such that $\lambda x^2-10 x y+12 y^2+5 x-16 y-3=0$ represents a pair of straight lines is:

An observer moves towards a stationary source of sound with a velocity of one-fifth of the velocity of sound. The percentage increase in the apparent frequency is (in $\%$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module