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EI%20Review%20CH1_6

# EI%20Review%20CH1_6 - University Physics I Review for Exam...

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University Physics I: Review for Exam I Chapter 1&3 : Introduction and Vectors (IV) IV1. The position of a particle moving under uniform acceleration is some function of time and the acceleration. Suppose we write this position s = ka m t n , where k is a dimensionless constant. Show by dimensional analysis that this expression is satisfied if m = 1 and n = 2. Can this analysis give the value of k ? IV2 A hydrogen atom has a diameter of approximately 1.06 × 10 –10 m, as defined by the diameter of the spherical electron cloud around the nucleus. The hydrogen nucleus has a diameter of approximately 2.40 x 10 –15 m. (a) For a scale model, represent the diameter of the hydrogen atom by the length of an American football field (100 yards = 300 feet), and determine the diameter of the nucleus in millimeters. (b) The atom is how many times larger in volume than its nucleus? IV3 A sidewalk is to be constructed around a swimming pool that measures (10.0 0.1) m by (17.0 0.1) m. If the sidewalk is to measure (1.00 0.01) m wide by (9.0 0.1) cm thick, what volume of concrete is needed, and what is the approximate uncertainty of this volume? IV4 A high fountain of water is located at the center of a circular pool as in Figure INT4. Not wishing to get his feet wet, a student walks around the pool and measures its circumference to be 15.0 m. Next, the student stands at the edge of the pool and uses a protractor to gauge the angle of elevation of the top of the fountain to be 55.0°. How high is the fountain? Figure IV4

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University Physics I Review for Exam I PHYS 2325 Exam I, Sample Problems 2 IV5. Consider the two vectors and . Calculate (a) A + B , (b) A B , (c) | A + B |, (d) | A B |, and (e) the directions of A + B and A B . IV6. You are standing on the ground at the origin of a coordinate system. An airplane flies over you with constant velocity parallel to the x axis and at a constant height of 7.60 × 10 3 m. At time t = 0 the airplane is directly above you, so that the vector from you to it is P 0 = 7.60 × 10 3 m ( ) ˆ j . At t = 30.0 s the position vector leading from you to the airplane is P 30 = 8.04 × 10 3 m ( ) ˆ i + 7.60 × 10 3 m ( ) ˆ j . Determine the magnitude and orientation of the airplane’s position vector at t = 45.0 s. Chapter 2: Motion in One Dimension (M1D) M1D1 . An object moves along the x axis according to the equation x ( t ) = (3.00 t 2 2.00 t + 3.00) m. Determine (a) the average speed between t = 2.00 s and t = 3.00 s, (b) the instantaneous speed at t = 2.00 s and at t = 3.00 s, (c) the average acceleration between t = 2.00 s and t = 3.00 s, and (d) the instantaneous acceleration at t = 2.00 s and t = 3.00 s. M1D2. At NASA’s John H. Glenn research center in Cleveland, Ohio, free-fall research is performed by dropping experiment packages from the top of an evacuated shaft 145 m high. Free fall imitates the so-called microgravity environment of a satellite in orbit. (a) What is the maximum time interval for free fall if an experiment package were to fall the entire 145 m?
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EI%20Review%20CH1_6 - University Physics I Review for Exam...

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