In an amusement park water slide, people slide down an essentially frictionless tube. the top of the slide is 3.2 m above the bottom where they exit the slide, moving horizontally, 1.2 m above a swimming pool. does the mass of the person make any difference?

No

Explanation:

When the person slides down, the change in gravitational potential energy is converted into kinetic energy, according to

where

m is the mass of the person

g is the acceleration of gravity

v is the final speed

is the change in heigth of the person

Here we have assumed that the initial speed is zero.

Re-arranging the equation,

and we see that this quantity does not depend on the mass of the person, so every person will have the same speed at the bottom of the slide, equal to:

true tan speed = ang vel x radius

be subject to a force andchange its motion