(D) According to the work-energy theorem,the work done $(W)$ on a particle is equal to the change in its kinetic energy $(K)$.Since the particle start

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(D) According to the work-energy theorem,the work done $(W)$ on a particle is equal to the change in its kinetic energy $(K)$.Since the particle starts from rest,the initial kinetic energy is $0$.Therefore,$W = K = \frac{1}{2}mv^2$.Here,$m$ is the mass of the particle,which is constant.Thus,$W \propto v^2$.This relationship represents a parabola opening upwards along the $W$-axis.Comparing this with the given options,the graph in option $D$ represents a parabolic curve where $W$ increases with the square of $v$.

Class 11 Physics Work, Energy, Power and Collision Kinetic Energy

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$A$ particle is initially at rest on a frictionless horizontal surface. $A$ force of constant magnitude and direction is applied to it. The graph shows the work done $(W)$ on the particle versus its speed $(v)$. If no other horizontal forces act on the particle,what should the graph look like?

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Kinetic Energy

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EasyAP EAMCET 2023

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$A$ particle is initially at rest on a frictionless horizontal surface. $A$ force of constant magnitude and direction is applied to it. The graph shows the work done $(W)$ on the particle versus its speed $(v)$. If no other horizontal forces act on the particle,what should the graph look like?

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If the linear momentum is increased by $5\%$,the kinetic energy will increase by.......$\%$

$A$ ball of mass $2\,kg$ and another of mass $4\,kg$ are dropped together from a $60\,ft$ tall building. After a fall of $30\,ft$ each towards the earth,their respective kinetic energies will be in the ratio of:

$A$ bullet of mass $50 \ g$ is fired with a speed $100 \ m/s$ on a plywood and emerges with $40 \ m/s$. The percentage loss of kinetic energy is:

$A$ bullet of mass $200\,g$ having initial kinetic energy $90\,J$ is shot inside a long swimming pool as shown in the figure. If its kinetic energy reduces to $40\,J$ within $1\,s$,the minimum length of the pool the bullet has to travel so that it completely comes to rest is $.....m$.

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