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A block slides down a frictionless inclined ramp. If the ramp angle is 30.0° and its length is 30 m, find the speed of the block as it reaches the bottom of the ramp, assuming it started sliding from rest at the top.

A block slides down a frictionless inclined ramp. If the ramp angle is 30.0° and its length is 30 m, find the speed of the block as it reaches the bottom of the ramp, assuming it started sliding from rest at the top.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Chapter 7: Potential Energy and Energy Conservation: 

A block slides down a frictionless inclined ramp. If the ramp angle is 30.0° and its length is 30 m, find the speed of the block as it reaches the bottom of the ramp, assuming it started sliding from rest at the top.  You must use material from chapter 7 (conservation of mechanical energy) to solve this problem

The image shows a right triangle. One of the angles is marked as 30 degrees, and there is a right angle (90 degrees) indicated by the small square in the other corner. The diagram effectively represents a 30-60-90 triangle, which is a special type of right triangle. The sides of a 30-60-90 triangle are in the ratio 1:√3:2. This means that if the shortest side (opposite the 30-degree angle) is 1 unit, the side opposite the 60-degree angle is √3 units, and the hypotenuse is 2 units.
Transcribed Image Text:The image shows a right triangle. One of the angles is marked as 30 degrees, and there is a right angle (90 degrees) indicated by the small square in the other corner. The diagram effectively represents a 30-60-90 triangle, which is a special type of right triangle. The sides of a 30-60-90 triangle are in the ratio 1:√3:2. This means that if the shortest side (opposite the 30-degree angle) is 1 unit, the side opposite the 60-degree angle is √3 units, and the hypotenuse is 2 units.
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