In one contest at the county fair, a spring-loaded plunger launches a ball at a speed of Vo = 3.0 m/s from one corner of a smooth, flat board that is tilted up at a 20° angle. To win, you must make the ball hit a small target at the adjacent corner, 2.50 m away. 0 Launch 20° Target (a) In free-fall, g (the acceleration due to gravity) points "down" (toward the center of the Earth). On an inclined plane, only the portion of g that is parallel to the plane accelerates the object. The component that is perpendicular to the plane does not accelerate the object. Draw new coordinate axes with one axis parallel to the board and the other axis perpendicular to the board, and find 9, the component of the free-fall acceleration that is parallel to the board, in terms of g and these new axes. (b) At what angle should you tilt the ball launcher to win the prize?
In one contest at the county fair, a spring-loaded plunger launches a ball at a speed of Vo = 3.0 m/s from one corner of a smooth, flat board that is tilted up at a 20° angle. To win, you must make the ball hit a small target at the adjacent corner, 2.50 m away. 0 Launch 20° Target (a) In free-fall, g (the acceleration due to gravity) points "down" (toward the center of the Earth). On an inclined plane, only the portion of g that is parallel to the plane accelerates the object. The component that is perpendicular to the plane does not accelerate the object. Draw new coordinate axes with one axis parallel to the board and the other axis perpendicular to the board, and find 9, the component of the free-fall acceleration that is parallel to the board, in terms of g and these new axes. (b) At what angle should you tilt the ball launcher to win the prize?
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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Transcribed Image Text:6. In one contest at the county fair, a spring-loaded plunger launches a ball at a speed of
Vo 3.0 m/s from one corner of a smooth, flat board that is tilted up at a 20° angle.
To win, you must make the ball hit a small target at the adjacent corner,
2.50 m away.
=
0
Launch
20⁰
Target
(a) In free-fall, 9 (the acceleration due to gravity) points "down" (toward the center of
the Earth). On an inclined plane, only the portion of a that is parallel to the plane
accelerates the object. The component that is perpendicular to the plane does not
accelerate the object. Draw new coordinate axes with one axis parallel to the board
and the other axis perpendicular to the board, and find 9, the component of the
free-fall acceleration that is parallel to the board, in terms of g and these new axes.
(b) At what angle should you tilt the ball launcher to win the prize?
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