Suppose you are sitting on a rotating stool holding a 2 kgmass
in each outstretched hand. if you suddenly drop the masses, will
your angular velocity increase, decrease, or stay the same?
explain.

Increase

Explanation:

Given

You are holding 2 kg mass in each outstreched hand

If the masses are dropped then Moment of inertia will decease by

Where m=2 kg

r=length of stretched arm

Since angular momentum is conserved therefore decrease in Moment of inertia will result in increase of angular velocity

as I=constant

I=Moment of inertia

=angular velocity

the total distance that martina travels that day is

(distance from home to mom's office) plus (distance from mom's office to school)

plus (distance from school to library) plus (distance from library to friend's house)

plus (distance from friend's house to martina's house).

(we don't know what any of these distance actually is.)

at right angles to each other