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?
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.6P:
In the blizzard of ’88, a rancher was forced to drop hay bales from an airplane to feed her cattle....
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