(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

Subtopic

Work Done by Spring and Potential Energy of Spring

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 will be $.......\,U$.

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Two springs with spring constants $1500 \ N/m$ and $3000 \ N/m$ respectively are stretched by the same force. What is the ratio of their potential energies?

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$A$ $15\, g$ 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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$A$ block of mass $m$ moving with speed $v$ compresses a spring through distance $x$ before its speed is halved. What is the value of the spring constant $k$?

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$A$ bungee jumper is jumping with the help of an elastic ideal rope (force constant $K$). The jumper steps off the bridge and falls from rest towards the river below. He does not hit the water. The mass of the jumper is $m$,and the natural length of the rope is $l$. Gravity is $g$. Assuming everything is ideal,choose the incorrect option.

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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

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 will be $.......\,U$.

Two springs with spring constants $1500 \ N/m$ and $3000 \ N/m$ respectively are stretched by the same force. What is the ratio of their potential energies?

$A$ $15\, g$ 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 ............. $m/s$ $(g = 10\, m/s^2)$.

$A$ block of mass $m$ moving with speed $v$ compresses a spring through distance $x$ before its speed is halved. What is the value of the spring constant $k$?

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