(B) Let $x$ be the maximum extension in the spring. At the point of maximum extension,the velocity of the block is zero.Applying the principle of cons

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(B) Let $x$ be the maximum extension in the spring. At the point of maximum extension,the velocity of the block is zero.Applying the principle of conservation of mechanical energy,the loss in gravitational potential energy of the block is equal to the gain in elastic potential energy of the spring.Loss in gravitational potential energy = $Mgx$Gain in elastic potential energy = $\frac{1}{2} k x^2$Equating the two: $Mgx = \frac{1}{2} k x^2$Solving for $x$ (where $x \neq 0$): $x = \frac{2Mg}{k}$

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

Difficult

An ideal spring with spring constant $k$ is suspended from the ceiling,and a block of mass $M$ is attached to its lower end. Initially,the spring is unstretched and the block is released from rest. What will be the maximum extension in the spring?

A
$4 Mg/k$
B
$2 Mg/k$
C
$Mg/k$
D
$Mg/2k$

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Class 11 Questions

Class 11

Physics Questions

Chapter

Work, Energy, Power and Collision

Subtopic

Work Done by Spring and Potential Energy of Spring

If a spring is stretched by a force $T$,what is the potential energy stored in the spring? (Given $T$ is the tension/force and $k$ is the spring constant.)

Medium

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$A$ ball of mass $m$ is dropped from a height $h$ on a platform fixed at the top of a vertical spring,as shown in the figure. The platform is depressed by a distance $x$. Then the spring constant is

Difficult

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If a spring extends by $x$ on loading,then the energy stored by the spring is (if $T$ is tension in the spring and $k$ is spring constant).

MediumAIIMS 1997

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When a spring is stretched by $10 \ cm$, the potential energy stored is $E$. When the spring is stretched by $10 \ cm$ more, the potential energy stored in the spring becomes (in $E$)

EasyWBJEE 2012

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$A$ spring with a force constant of $800 \ N/m$ is stretched by $5 \ cm$. Find the work done in stretching it from $5 \ cm$ to $15 \ cm$ in $J$.

Difficult

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An ideal spring with spring constant $k$ is suspended from the ceiling,and a block of mass $M$ is attached to its lower end. Initially,the spring is unstretched and the block is released from rest. What will be the maximum extension in the spring?

Similar Questions

If a spring is stretched by a force $T$,what is the potential energy stored in the spring? (Given $T$ is the tension/force and $k$ is the spring constant.)

$A$ ball of mass $m$ is dropped from a height $h$ on a platform fixed at the top of a vertical spring,as shown in the figure. The platform is depressed by a distance $x$. Then the spring constant is

If a spring extends by $x$ on loading,then the energy stored by the spring is (if $T$ is tension in the spring and $k$ is spring constant).

When a spring is stretched by $10 \ cm$, the potential energy stored is $E$. When the spring is stretched by $10 \ cm$ more, the potential energy stored in the spring becomes (in $E$)

$A$ spring with a force constant of $800 \ N/m$ is stretched by $5 \ cm$. Find the work done in stretching it from $5 \ cm$ to $15 \ cm$ in $J$.

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