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Work Power and Energy question

2024 · 9 Apr · Shift 1 · Q67

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Work Power and Energy
2024 · 9 Apr · Shift 1 · Q67

Work Power and Energy question

2024 · 9 Apr · Shift 1 · Q67

JEE MainPhysicsWork Power and EnergyMCQ+4 / −1

A particle of mass

m

moves on a straight line with its velocity increasing with distance according to the equation

v=\alpha \sqrt{x}

, where

\alpha

is a constant. The total work done by all the forces applied on the particle during its displacement from

x=0

to

x=\mathrm{d}

, will be :

A
$\frac{\mathrm{m}}{2 \alpha^2 \mathrm{~d}}$
B
$\frac{\mathrm{md}}{2 \alpha^2}$
C
$\frac{\mathrm{m} \alpha^2 \mathrm{~d}}{2}$
D
$2 \mathrm{~m} \alpha^2 \mathrm{~d}$

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