A sled starts from rest at the top of the frictionless, hemispherical, snow-covered hill shown in the figure. Find an expression for the sled's speed when it is at angle ø. Use Newton's laws to find the maximum speed the sled can have at angle ø without leaving the surface. At what angle ømax does the sled "fly off" the hill?

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter11: Energy And Its Conservation
Section11.2: Conservation Of Energy
Problem 18PP
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A sled starts from rest at the top of the frictionless,
hemispherical, snow-covered hill shown in the figure. Find
an expression for the sled's speed when it is at angle ø. Use
Newton's laws to find the maximum speed the sled can
have at angle ø without leaving the surface. At what
angle ømax does the sled "fly off" the hill?
R
Transcribed Image Text:A sled starts from rest at the top of the frictionless, hemispherical, snow-covered hill shown in the figure. Find an expression for the sled's speed when it is at angle ø. Use Newton's laws to find the maximum speed the sled can have at angle ø without leaving the surface. At what angle ømax does the sled "fly off" the hill? R
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