(C) The work done $W$ in stretching a spring by a force $F$ is given by the formula $W = \frac{1}{2} k x^2$.Since the restoring force is $F = kx$,we h

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More work is done in case of the second spring.

(C) The work done $W$ in stretching a spring by a force $F$ is given by the formula $W = \frac{1}{2} k x^2$.Since the restoring force is $F = kx$,we have $x = \frac{F}{k}$.Substituting $x$ into the work equation: $W = \frac{1}{2} k \left(\frac{F}{k}\right)^2 = \frac{F^2}{2k}$.For a constant force $F$,the work done is inversely proportional to the force constant $k$ $(W \propto \frac{1}{k})$.Given $k_1 > k_2$,it follows that $W_1 Therefore,more work is done in the case of the second spring $(k_2)$.

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

Medium

Two springs have their force constants as $k_1$ and $k_2$ $(k_1 > k_2)$. When they are stretched by the same force $F$,which of the following statements is true regarding the work done?

A
No work is done in case of both the springs.
B
Equal work is done in case of both the springs.
C
More work is done in case of the second spring.
D
More work is done in case of the first spring.

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Class 11

Physics Questions

Chapter

Work, Energy, Power and Collision

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Work Done by Spring and Potential Energy of Spring

$A$ $15\, g$ ball is shot from a spring gun whose spring has a force constant of $600\, N/m$. The spring is compressed by $3\, cm$. The greatest possible velocity of the ball for this compression is ............. $m/s$ $(g = 10\, m/s^2)$.

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The potential energy of a long spring when stretched by $2 \ cm$ is $U$. If the spring is stretched by $8 \ cm$,the potential energy stored in it is:

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$A$ spring of force constant $k$ is cut into two parts at one-third of its length. When both parts are stretched by the same amount,the work done in the two parts will be:

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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?

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$K$ is the force constant of a spring. The work done in increasing its extension from $l_1$ to $l_2$ will be

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Two springs have their force constants as $k_1$ and $k_2$ $(k_1 > k_2)$. When they are stretched by the same force $F$,which of the following statements is true regarding the work done?

Similar Questions

$A$ $15\, g$ ball is shot from a spring gun whose spring has a force constant of $600\, N/m$. The spring is compressed by $3\, cm$. The greatest possible velocity of the ball for this compression is ............. $m/s$ $(g = 10\, m/s^2)$.

The potential energy of a long spring when stretched by $2 \ cm$ is $U$. If the spring is stretched by $8 \ cm$,the potential energy stored in it is:

$A$ spring of force constant $k$ is cut into two parts at one-third of its length. When both parts are stretched by the same amount,the work done in the two parts will be:

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?

$K$ is the force constant of a spring. The work done in increasing its extension from $l_1$ to $l_2$ will be

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