exam1_2003su

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1. The brightest star in the night sky is α Canis Majoris, also known as Sirius. It lies 8.8 light-years away. Express this distance in meters. (A light-year is the distance covered by light in one year. Light travels in vacuum at 3 × 10 8 m/s). a. 2.6 × 10 9 m b. 7.2 × 10 10 m c. 7.1 × 10 12 m d. 8.3 × 10 16 m e. 3.8 × 10 20 m 2. Let and . Find the value of scalar α that makes these two vectors perpendicular to each other. a. α = 0.3 b. α = 0.6 c. α = 0.9 d. α = 1.2 e. α = 1.7 8 16 365 days 24 h 3600 s 3 10 m 8.8 light years 8.3 10 m 1 year 1 day 1 h 1 s × ˆ ˆ 35 A ik =+ G ˆ ˆˆ 2 B ijk α =− + + G 0 305 0 0.6 Perpendicular A B AB ⇒⋅ = ⋅= −++ = = G G G G Page 1 of 13 Last Name: First Name ID 10/14/2003 https://webct.ait.iastate.edu/PHYS221/Exam%20solutions%20Summer%202003/Exam1a. ..
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v t A v t B v t C v t D v t E 3. A box has an initial speed v 0 up a frictionless incline. The box moves up the incline and then returns to its initial position, and continues to move down the incline. Which of the following velocity versus time graphs corresponds to this motion? The box goes from positive velocity to zero velocity (for an instant) and then to negative velocity. also, the slope of the v(t) graph should be constant (constant acceleration). Page 2 of 13 Last Name: First Name ID 10/14/2003 https://webct.ait.iastate.edu/PHYS221/Exam%20solutions%20Summer%202003/Exam1a. ..
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The situation below refers to the next two questions: A particle moves along the trajectory shown below at constant speed. The positions of the particle at t = 0 and at t = 1 s are shown. 4. Which of these vectors best describes the direction of the average velocity of the particle between t = 0 and t = 1 s? a. / b. 2 c. d. e. The average velocity points in the same direction as r : 5. Which of these vectors best describes the direction of the instantaneous acceleration of the particle at t = 0? a. / b. 2 c. d. e. The instantaneous acceleration is the centripetal acceleration (speed is constant), so its direction is perpendicular to trajectory (or to the instantaneous velocity at that point) and pointing towards the center of curvature. t = 0 t = 1 s t = 0 t = 1 s r Page 3 of 13 Last Name: First Name ID 10/14/2003 https://webct.ait.iastate.edu/PHYS221/Exam%20solutions%20Summer%202003/Exam1a. ..
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The situation below refers to the next two questions: You are standing on the edge of a cliff of height h . You throw a ball at an angle θ = 30° above the horizontal with an initial speed v 0 = 54 m/s. Using a stop watch, you determine that the ball strikes
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