(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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Work, Energy, Power and Collision

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Work Done by Spring and Potential Energy of Spring

$A$ spring of force constant $800\, N/m$ has an extension of $5\, cm$. The work done in extending it from $5\, cm$ to $15\, cm$ is ............. $J$.

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$A$ sphere of mass $25 \,g$ is placed on a vertical spring. The spring is compressed by $0.2 \,m$ using a force of $5 \,N$. When the spring is released, the mass reaches a maximum height of (take $g = 10 \,m/s^2$):

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$A$ massless platform is kept on a light elastic spring as shown in the figure. When a sand particle of mass $0.1 \; kg$ is dropped on the pan from a height of $0.24 \; m$,the particle strikes the pan and the spring is compressed by $0.01 \; m$. From what height should the particle be dropped to cause a compression of $0.04 \; m$ (in $; m$)?

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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.)

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$A$ body of mass $0.1 \ kg$ moving with a velocity of $10 \ m/s$ hits a spring (fixed at the other end) of force constant $1000 \ N/m$ and comes to rest after compressing the spring. The compression of the spring is .............. $m$.

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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

$A$ spring of force constant $800\, N/m$ has an extension of $5\, cm$. The work done in extending it from $5\, cm$ to $15\, cm$ is ............. $J$.

$A$ sphere of mass $25 \,g$ is placed on a vertical spring. The spring is compressed by $0.2 \,m$ using a force of $5 \,N$. When the spring is released, the mass reaches a maximum height of (take $g = 10 \,m/s^2$):

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.)

$A$ body of mass $0.1 \ kg$ moving with a velocity of $10 \ m/s$ hits a spring (fixed at the other end) of force constant $1000 \ N/m$ and comes to rest after compressing the spring. The compression of the spring is .............. $m$.

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