Squirt Gun Energy

MediumPhysElo Quiz #1

3.Squirt Gun Energy

+10

A squirt gun consists of a cylindrical reservoir of cross-sectional area

A

and a nozzle of cross-sectional area

a \ll A

. The reservoir is initially filled with a volume

V

of water of density

\rho

. A child pushes the plunger at a constant speed, completely emptying the reservoir in time

t

. Assuming the water shoots out horizontally and viscous effects are negligible, what is the approximate work done by the child on the plunger?

\frac{\rho V^3}{2 A^2 t^2}

\frac{\rho V^3}{2 A a t^2}

\frac{\rho V^3}{2 a^2 t^2}

\frac{\rho V^3}{a^2 t^2}

\frac{\rho V^3 A}{2 a^3 t^2}

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