University Physics Volume 1

18th Edition

ISBN: 9781938168277

Author: William Moebs, Samuel J. Ling, Jeff Sanny

Publisher: OpenStax - Rice University

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A, weather forecast states that the temperature is predicted to be -5oC the following day.

Is this temperature a vector or a scalar quantity, explain.

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A If the vector components of a particles position moving in the xy plane as a function of time are x=bt2i and y=ct3j, where b and c are positive constants with the appropriate dimensions such that the components will be in meters, at what time t is the angle between the particles velocity and the x axis equal to 45?

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Scalars and Vectors A weather forecast states the temperature is predicted to be 5Cthe following day. Is this temperature a vector or a scalar quantity? Explain.

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A garden snail named Archie, owned by Carl Branhorn of Pott Row, England, covered a 33-cm course in 2.0 min at the 1995 World Snail Racing Championships, held in Longhan, England (Fig. P1.13). Determine Archies average speed Sav = d/t in the appropriate SI units.

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Acceleration a has the dimensions of length per time squared, speed v has the dimensions of length per time, and radius r has the dimension of length. Which of the following expressions may be correct? Explain your answer in each case. a. a = vr b. a = v/r c. a = v2/r d. a = v/r2

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The speed limit on some interstate highways is roughly 100 km/h. (a) What is this in meters per second? (b) How many miles per hour is this?

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(a) If AF=BF , can we conclude A=B ? (b) If AF=BF , can we conclude A=B ? (c) If FA=BF , can we conclude A=B ? Why or why not?

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After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of time is given by v=1.2i9.8tj where v is in meters per second and t is in seconds. The balls displacement away from the edge of the table, during the time interval of 0.380 s for which the ball is in flight, is given by r=00.3803vdt To perform the integral, you can use the calculus theorem [A+Bf(x)]dx=Adx+Bf(x)dx You can think of the units and unit vectors as constants, represented by A and B. Perform the integration to calculate the displacement of the ball from the edge of the table at 0.380 s.

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A delivery man starts at the post office, drives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use the analytical method to determine the following: (a) Find his net displacement vector. (b) How far is the restaurant from the post office? (c) If he returns directly from the restaurant to the post office, what is his displacement vector on the return trip? (d) What Is his compass heading on the return trip? Assume the +x-axis is to the east.

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While strolling downtown on a Saturday Afternoon, you stumble across an old car show. As you are walking along an alley toward a main street, you glimpse a particularly stylish Alpha Romeo pass by. Tall buildings on either side of the alley obscure your view, so you see the car only as it passes between the buildings. Thinking back to your physics class, you realize that you can calculate the cars acceleration. You estimate the width of the alleyway between the two buildings to be 4 m. The car was in view for 0.5 s. You also heard the engine rev when the car started from a red light, so you know the Alpha Romeo started from rest 2 s before you first saw it. Find the magnitude of its acceleration.

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Two birds begin next to each other and then fly through the air at the same elevation above level ground at 22.5 m/s. One flies northeast, and the other flies northwest. After flying for 10.5 s, what is the distance between them? Ignore the curvature of the Earth.

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A train leaving Albuquerque travels 293 miles, due east, to Amarillo. The train spends a couple of days at the station in Amarillo and then heads back west 107 miles where it stops in Tucumcari. Suppose the positive x direction points to the east and Albuquerque is at the origin of this axis. a. What is the total distance traveled by the train from Albuquerque to Tucumcari? b. What is the displacement of the train for the entire journey? Give both answers in appropriate SI units.

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Figure P3.40 shows a map of Grand Canyon National Park in Arizona. You need a ruler and protractor for this problem, a. Paul hikes from Cape Royale to Point Sublime. Find the magnitude and direction of his displacement, ignoring any difference in altitude between the two points, b. Lil hikes from Point Sublime to Cape Royale. Find the magnitude and direction of her displacement. Compare your answer with that of part (a).

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