A particle of mass $2 \,kg$ travels along a straight line with velocity $v=a \sqrt{x}$, where $a$ is a constant. The work done by net force during the displacement of particle from $x=0$ to $x=4 \,m$ is .........
A particle of mass $2 \,kg$ travels along a straight line with velocity $v=a \sqrt{x}$, where $a$ is a constant. The work done by net force during the displacement of particle from $x=0$ to $x=4 \,m$ is .........
- A
$a^2$
- B
$2 a^2$
- C
$4 a^2$
- D
$\sqrt{2} a^2$
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A particle gets displaced by $\Delta \,\vec r = \,(2\hat i + 3\hat j + 4\hat k)$ $m$ under the action of a force $\vec F = \,(7\hat i + 4\hat j + 3\hat k)$ The change in its kinetic energy is ............... $\mathrm{J}$
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A particle which is experiencing a force, given by $\vec F = 3\vec i -12\vec j$, undergoes a displacement of $\vec d = 4\vec i$ . If the particle had a kinetic energy of $3\, J$ at the beginning of the displacement, what is its kinetic energy at the end of the displacement?
A particle which is experiencing a force, given by $\vec F = 3\vec i -12\vec j$, undergoes a displacement of $\vec d = 4\vec i$ . If the particle had a kinetic energy of $3\, J$ at the beginning of the displacement, what is its kinetic energy at the end of the displacement?
- [JEE MAIN 2019]