A Solid Ball of Mass 1

question 25

Essay

A solid ball of mass 1.0 kg and radius 10 cm rolls with a forward speed of 10 m/s when it
comes to a hill. There is enough friction on the hill to keep the ball from slipping as it rolls
up.
(a) How high vertically up the hill can the ball roll before coming to rest?
(b) How high vertically could the ball go if the hill were totally frictionless?
(c) How is it that the ball can go higher with friction than without friction?

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Definitions:

Monitoring

The process of systematically observing, checking, and recording something or someone over a period of time.

Suicide Risk

The likelihood that an individual will attempt to take their own life, often assessed in the context of mental health evaluations.

Overdosing

The act of taking a higher dose of a substance than is prescribed or safe, leading to serious and potentially fatal reactions.

Cutting the Wrists

A form of self-injury where an individual intentionally cuts their wrist, often as a coping mechanism for emotional distress.