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PHYS 172 RECITATION 01 Newton’s First Law SPRING 2023 LAST NAME (ALL CAPS): CHINITZ FIRST NAME (ALL CAPS) ELIANA REC Section DAY W REC Section TIME 12:30 PLEASE WORK ON THIS SHEET AT HOME. AFTER YOU ARE COMPLETE, PRINT IT TO PDF. THEN UPLOAD IT ON BRIGHTSPACE IN THE LINK PROVIDED IN WEEK 01 > RECITATION 01 FOLDER Problem 1: A hockey puck is sliding on the smooth ice surface of a skating rink. This figure below shows the puck’s position on the ice surface at a sequence of equally spaced times t 0 , t 1 , t 2 , t 3 and t 4 . The x- axis shown is parallel to the rink’s length and the y- axis to its width. The marks along the axes are spaced 1 meter apart. The unseen z- axis points straight up out of the page. 1) List all objects in the puck’s surroundings that interact with it during the time interval between t 0 and t 4 . Explain briefly why you think they do . Ice- the puck is sliding across the ice causing a small amount of friction Air- the puck has constant contact with the air causing some wind resistance

2) Draw on the figure below: a) The arrow representing the position vector ( ⃗ r 1 ) of the puck relative to the coordinate system’s origin at time t 1 . Do the same for the puck’s positions vectors ⃗ r 2 at time and ⃗ r 3 at time . b) The puck’s displacement vector during the time interval from to . We use the symbol to represent changes in a quantity like the time or the position of the puck. For the time interval to , we say that the change in the time is , the final or later time minus the initial or earlier time. Similarly, we use the symbol ∆ ⃗ r 21 to represent the displacement vector you drew since, ∆ ⃗ r 21 = ⃗ r 2 − ⃗ r 1 the puck’s final position vector minus its initial position vector. c) Draw the arrow representing the puck’s displacement ∆ ⃗ r 32 3) What are the components of the puck’s position vectors at times , and . Explain your answer . <-0.5,0.5,0> The point is at negative 0.5 x and positive 0.5 y <0.5,1,0> The point is at positive 0.5 x and 1 y <1.5,1.5,0> The point is at positive 1.5 x and 1.5 y 2

4) If the time intervals and are 2 seconds, what are the components of the puck’s average velocity during each of those intervals? Explain your answer . <0.5+0.5, 1-0.5, 0> = <1, 0.5, 0> Magnitude= 1.25 m Average velocity = 1.25/2 = 0.625 m/s <1.5-0.5,1.5-1,0> = <1, 0.5, 0> Magnitude = 1.25 m Average velocity = 1.25/2 = 0.625 m/s 5) In this physical situation how do you think the puck’s average velocity vector for the interval compares to the puck’s instantaneous velocity at times , and ? Explain your answer . They should be the same as the average velocity because the pucks are spaced evenly over time meaning that the velocity is remaining constant so that average velocity should be the same as the instantaneous velocity between each time. 6) What can you conclude from your answers to parts 4) and 5) about, in the words of Newton’s first law of motion, the extent to which the puck is interacting with other objects during the interval between times and ? Explain your answer . The puck is not having significant interactions with any objects around then because the velocity is remaining constant, and the direction of the displacement vectors is the same. This means that the direction and the velocity is remaining the same thus the puck is not interacting with other objects in this situation. 3

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Problem 2: ( Optional – But learn it for the Exam ) A vehicle travels along a circular path as shown in the figure. From A to B, the vehicle maintains a constant speed of 4 m/s, from B to C, 8 m/s, and from C to D, 12 m/s. 1) What is the average speed of the vehicle in traveling from A to D? Clearly show your work. 4+8+12/3= 8 m/s 2) What is the average velocity in traveling from A to B? Clearly show your work. 235.5/((78.5/4)(78.5/8)(78.5/12)) 235.5/((19.625)(9.8125)(6.54)) 235.5/1259.7= 0.186 4

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