(B) According to the law of conservation of energy,the potential energy lost by the block as it descends a vertical height $h$ is equal to the elastic

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(B) According to the law of conservation of energy,the potential energy lost by the block as it descends a vertical height $h$ is equal to the elastic potential energy gained by the spring at maximum compression $x$.The loss in gravitational potential energy of the block is $\Delta U_g = mgh$.The gain in elastic potential energy of the spring is $\Delta U_s = \frac{1}{2} Kx^2$.Equating the two:$mgh = \frac{1}{2} Kx^2$Solving for $x$:$x^2 = \frac{2mgh}{K}$$x = \sqrt{\frac{2mgh}{K}}$

Class 11 Physics Work, Energy, Power and Collision Work Done by Spring and Potential Energy of Spring

Easy

$A$ block of mass $m$ slides down an inclined plane as shown in the figure and hits a spring at the bottom,causing it to compress. If the spring constant is $K$,what is the maximum compression of the spring?

A
$\sqrt {\frac{{mgh}}{k}} $
B
$\sqrt {\frac{{2mgh}}{k}} $
C
$\sqrt {\frac{{gh}}{{mk}}} $
D
$\sqrt {\frac{{2gh}}{{mk}}} $

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Work, Energy, Power and Collision

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Work Done by Spring and Potential Energy of Spring

An elastic spring of unstretched length $L$ and force constant $k$ is stretched by a small length $x$. It is further stretched by another small length $y$. Work done during the second stretching is

MediumTS EAMCET 2016

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The force constants of two springs are $K_1$ and $K_2$. Both are stretched until their elastic potential energies are equal. If the stretching forces applied are $F_1$ and $F_2$,then the ratio $F_1:F_2$ is:

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$A$ block of mass $100 \ g$ moving at a speed of $2 \ m \ s^{-1}$ compresses a spring through a distance $2 \ cm$ before its speed is halved. Find the spring constant of the spring. (in $N \ m^{-1}$)

MediumTS EAMCET 2020

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$A$ spring with spring constant $k$ is extended from $x = 0$ to $x = x_1$. The work done will be

Easy

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Does the energy stored in a spring change when it is stretched or compressed?

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$A$ block of mass $m$ slides down an inclined plane as shown in the figure and hits a spring at the bottom,causing it to compress. If the spring constant is $K$,what is the maximum compression of the spring?

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