Two identical sleds slide down two frictionless hills, each starting from rest at the top of its own hill. The first sled slides down a hill that is taller but has a gradual slope. The second sled slides down a hill that is shorter but has a steeper slope. Which sled has the greatest speed when it reaches the bottom of the hill?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter4: Newton's Laws Of Motion
Section: Chapter Questions
Problem 81AP: A frictionless plane is 10.0 m long and inclined at 35.0. A sled starts at the bottom with an...
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Two identical sleds slide down two frictionless hills, each starting from rest at the top of its own hill. The first sled slides down a hill that is taller but has a gradual slope. The second sled slides down a hill that is shorter but has a steeper slope. Which sled has the greatest speed when it reaches the bottom of the hill?
 It depends on the actual steepness of the hills, which is not given.
 The first sled (taller hill but gradual slope).
 The second sled (shorter hill but steeper slope).
 Their final speeds will be the same.

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