## [answered] 1. A roller skater runs on the track shown on the figure. I

The 2 questions are typed in the document attached?

1. A roller skater runs on the track shown on the figure. If the

two curved parts of the track is frictionless but the central

track between A and B makes a skater lose 275 joules of

mechanical energy. If her mass is 65.0 kg and she starts at

point P from rest, 3 m above the central track.

a) How high above the central track will she stops after the first passage between A and B?

b) How many passages between A and B will she be able to make before she stops?

c) Where on the central track will she stop?

2. A massless string of length 2 meters has a mass of 5 kg attached to one end. It is then attached

to the top of a pole that can be rotated at any frequency (rotation per seconds). The angle

between the string and the pole is 45 degrees.

a) Draw all forces applied on the mass, and its acceleration.

b) Find the frequency of rotation of the mass.

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