Two masses, mA

$=35\mathrm{.}0$ kg

and mB

$=40\mathrm{.}0$ kg

$,$ are connected by a rope that hangs over a pulley $($as in the figure $($Figure $1)).$ The pulley is a uniform cylinder of radius $0\mathrm{.}381$ m

and mass $3\mathrm{.}1$ kg

$.$ Initially mA

is on the ground and mB

rests $2\mathrm{.}4$ m

above the ground.

Figure$1$ of $1$

Part A

If the system is released, use conservation of energy to determine the speed of mB

just before it strikes the ground. Assume the pulley bearing is frictionless.

Express your answer using two significant figures.