ch4 problem30

Physics: Principles with Applications

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http://www.hwproblems.com/cgi-bin/book.cgi?bookid=0044&cptn=4pr30&id=489216 Chapter 4, Problem 30 Question Problem It is given that the sprinter exerts a 720 N force on the starting block. According to Newton s third law, the starting block would exert an equal and opposite force on the sprinter. Let this force be . Draw a free body diagram showing the force on the starting block. (a) The horizontal component of the force causes the horizontal motion of the sprinter. Resolve along the axis. Let be the mass of the sprinter, and let be his horizontal acceleration. Apply Newton s second law along the horizontal direction. Find the net horizontal force exerted on the sprinter. Substitute 720 N for
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Unformatted text preview: , 65 kg for , and solve for . Thus, the horizontal acceleration of the sprinter is . (b) Let be the speed of the sprinter when he leaves the starting block. The speed can be calculated using the equation where is the initial velocity and is the time. Substitute 0 for , for , and 0.32 s for . http://www.hwproblems.com/cgi-bin/book.cgi?bookid=0044&cptn=4pr30&id=489216 (1 of 2) [2/4/2008 4:04:15 PM] http://www.hwproblems.com/cgi-bin/book.cgi?bookid=0044&cptn=4pr30&id=489216 Thus, the sprinter will leave the starting block with a speed of . http://www.hwproblems.com/cgi-bin/book.cgi?bookid=0044&cptn=4pr30&id=489216 (2 of 2) [2/4/2008 4:04:15 PM]...
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