Test One - Michael Bowles Test 1 - Solutions Dr. Ballmer...

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Michael Bowles Test 1 - Solutions Dr. Ballmer PHY 101 Problem 1.1 If an object, such as arrow, is projected vertically the only thing that will change the motion will be gravity, because we have decided to neglect fristion/air resistance. We know from the top of the page that gravity has a constant magnitude of 9 . 8 m s 2 . We also know that v f ( t ) = v 0 + a · t Given that acceleration is constant and negative we have an equation of the form y ( x ) = m · x + b We know that the arrow was projected upward (so there’s a positive initial velocity correspond- ing to the b - the y-intercept). So we have a downward-sloping straight line with an initial value above the x -axis. Problem 1.2 If we drive around a curve, and suddenly friction fails (as an example) we we continue in the direction we are currently traveling. For uniform circular motion the velocity is always pointing forward as in the image below. Figure 1: An object pulled along a circular path (taken from Wikipedia) We know from Newton’s first law that an object in motion, stays in motion (Unless acted upon by an external force). So whatever the direction of our velocity before friction fails is where we go af- terwards as well. Problem 1.3
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This note was uploaded on 02/20/2012 for the course PHY 101 taught by Professor Schwarz during the Fall '08 term at Syracuse.

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Test One - Michael Bowles Test 1 - Solutions Dr. Ballmer...

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