A snowboarder drops from rest into a halfpipe of radius R and slides down its frictionless surface to the bottom (see the figure below). Show that (a) the snowboarder's speed at the bottom of the halfpipe is v = V 2gR, (b) the snowboarder's centripetal acceleration at the bottom is a, = 2g, and (c) the normal force on the snowboarder at the bottom of the halfpipe has magnitude 3mg.

A snowboarder drops from rest into a halfpipe of radius R and slides down its frictionless surface to the bottom (see the figure below). Show that (a) the snowboarder's speed at the bottom of the halfpipe is v = V 2gR, (b) the snowboarder's centripetal acceleration at the bottom is a, = 2g, and (c) the normal force on the snowboarder at the bottom of the halfpipe has magnitude 3mg.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 4OQ: An office door is given a sharp push and swings open against a pneumatic device that slows the door...

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