PHY
phy131 midterm

# phy131 midterm - PHY 131.05 Midterm Exam NAME Tuesday Exam...

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PHY 131.05 Midterm Exam NAME:————————————– Tuesday, January 30, 2007 Exam duration: 75 minutes Grading: —-Q.1——–Q.2——–Q.3———Extra——-Total—- ———————/24———/40——-/36———–/25————– Useful formulas: Position, velocity, and acceleration: v = dr dt (1) a = dv dt (2) Acceleration due to gravity: g = 9 . 80 m/s 2 (3) Centripetal acceleration: a = v 2 r (4) Kinematics Equations: v ( t ) = v 0 + at (5) r ( t ) = r 0 + v 0 t + 1 2 at 2 (6) Dynamics Equations: F = ma (7) 1

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Figure 1: Figure for Question 1. 1 Two trains The graph in Fig. 1 shows position as a function of time for two trains running on parallel tracks. (a) [6 pts] Do both trains move in the same direction all the time? Explain. (b) [6 pts] Do both trains speed up all the time? Explain. (c) [6 pts] How do the speeds of the trains compare at time t B ? Explain. (d) [6 pts] Do the trains have the same speed at any time? If yes, indicate on the graph the time or time interval for which they move at the same speed.
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