A3.0-kg cylinder falls vertically from rest in a very tall, evacuated tube near the surface of the earth. what is its speed after the cylinder has fallen 6.0 m?

v=10.84 m/s

Explanation:

Given

mass of Cylinder

height of cylinder

It is given that tube is evacuated so we can neglect air resistance so friction provided by the air is zero.

Since Energy cannot be destroyed but can be transformed from one form to another therefore Potential Energy of Cylinder is converted to Kinetic Energy of Cylinder

Potential Energy

Kinetic Energy

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.)