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You have spent a long day skiing and are tired. You are standing at the top of a hill, looking at the lodge at the bottom of the hill. You are so tired that you want to simply start from rest and coast down the slope, without pushing with your poles or doing anything else to change your motion. You want to let gravity do all the work! You have a choice of two trails to reach the lodge. Both trails have the same coefficient of friction μk. In addition, both trails represent the same horizontal separation between the initial and final points. Trail A has a short, steep downslope and then a long, flat coast to the lodge. Trail B has a long, gentle downslope and then a short remaining flat coast to the lodge. Which trail will result in your arriving at the lodge with the highest final speed?
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Chapter 8 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
- 1.62 On a training flight, a Figure P1.62 student pilot flies from Lincoln, Nebraska, to Clarinda, Iowa, next to St. Joseph, Missouri, and then to Manhattan, Kansas (Fig. P1.62). The directions are shown relative to north: 0° is north, 90° is east, 180° is south, and 270° is west. Use the method of components to find (a) the distance she has to fly from Manhattan to get back to Lincoln, and (b) the direction (relative to north) she must fly to get there. Illustrate your solutions with a vector diagram. IOWA 147 km Lincoln 85° Clarinda 106 km 167° St. Joseph NEBRASKA Manhattan 166 km 235° S KANSAS MISSOURIarrow_forwardPlz no chatgpt pls will upvotearrow_forward3.19 • Win the Prize. In a carnival booth, you can win a stuffed gi- raffe if you toss a quarter into a small dish. The dish is on a shelf above the point where the quarter leaves your hand and is a horizontal dis- tance of 2.1 m from this point (Fig. E3.19). If you toss the coin with a velocity of 6.4 m/s at an angle of 60° above the horizontal, the coin will land in the dish. Ignore air resistance. (a) What is the height of the shelf above the point where the quarter leaves your hand? (b) What is the vertical component of the velocity of the quarter just before it lands in the dish? Figure E3.19 6.4 m/s 2.1arrow_forward
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- 3.31 A Ferris wheel with radius Figure E3.31 14.0 m is turning about a horizontal axis through its center (Fig. E3.31). The linear speed of a passenger on the rim is constant and equal to 6.00 m/s. What are the magnitude and direction of the passenger's acceleration as she passes through (a) the lowest point in her circular motion and (b) the high- est point in her circular motion? (c) How much time does it take the Ferris wheel to make one revolution?arrow_forward1.56 ⚫. Three horizontal ropes pull on a large stone stuck in the ground, producing the vector forces A, B, and C shown in Fig. P1.56. Find the magnitude and direction of a fourth force on the stone that will make the vector sum of the four forces zero. Figure P1.56 B(80.0 N) 30.0 A (100.0 N) 53.0° C (40.0 N) 30.0°arrow_forward1.39 Given two vectors A = -2.00 +3.00 +4.00 and B=3.00 +1.00 -3.00k. (a) find the magnitude of each vector; (b) use unit vectors to write an expression for the vector difference A - B; and (c) find the magnitude of the vector difference A - B. Is this the same as the magnitude of B - Ä? Explain.arrow_forward
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