Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 3, Problem 22P
Three displacement vectors of a croquet ball are shown in Figure P3.22, where
Figure P3.22
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Chapter 3 Solutions
Physics for Scientists and Engineers
Ch. 3.2 - Which of the following are vector quantities and...Ch. 3.3 - The magnitudes of two vectors A and B are A = 12...Ch. 3.3 - If vector B is added to vector A, which two of the...Ch. 3.4 - Choose the correct response to make the sentence...Ch. 3.4 - For which of the following vectors is the...Ch. 3 - Two points in the xy plane have Cartesian...Ch. 3 - Prob. 2PCh. 3 - The polar coordinates of a certain point are (r =...Ch. 3 - Let the polar coordinates of the point (x, y) be...Ch. 3 - Why is the following situation impossible? A...
Ch. 3 - Vector A has a magnitude of 29 units and points in...Ch. 3 - A force F1 of magnitude 6.00 units acts on an...Ch. 3 - Three displacements are A=200m due south, B=250m...Ch. 3 - The displacement vectors A and B shown in Figure...Ch. 3 - A roller-coaster car moves 200 ft horizontally and...Ch. 3 - A minivan travels straight north in the right lane...Ch. 3 - A person walks 25.0 north of east for 3.10 km. How...Ch. 3 - Your dog is running around the grass in your back...Ch. 3 - Given the vectors A=2.00i+6.00j and B=3.00i2.00j,...Ch. 3 - The helicopter view in Fig. P3.15 shows two people...Ch. 3 - A snow-covered ski slope makes an angle of 35.0...Ch. 3 - Consider the three displacement vectors m, m,...Ch. 3 - Vector A has x and y components of 8.70 cm and...Ch. 3 - Prob. 19PCh. 3 - Given the displacement vectors A=(3i4j+4k)m and...Ch. 3 - Vector A has a negative x component 3.00 units in...Ch. 3 - Three displacement vectors of a croquet ball are...Ch. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Use the component method to add the vectors A and...Ch. 3 - A girl delivering newspapers covers her route by...Ch. 3 - A man pushing a mop across a floor causes it to...Ch. 3 - Figure P3.28 illustrates typical proportions of...Ch. 3 - Review. As it passes over Grand Bahama Island, the...Ch. 3 - In an assembly operation illustrated in Figure...Ch. 3 - Review. You are standing on the ground at the...Ch. 3 - Why is the following situation impossible? A...Ch. 3 - In Figure P3.33, the line segment represents a...Ch. 3 - You are spending the summer as an assistant...Ch. 3 - A person going for a walk follows the path shown...Ch. 3 - A ferry transports tourists between three islands....Ch. 3 - Two vectors A and B have precisely equal...Ch. 3 - Two vectors A and B have precisely equal...Ch. 3 - Review. The biggest stuffed animal in the world is...Ch. 3 - Ecotourists use their global positioning system...Ch. 3 - A vector is given by R=2i+j+3k. Find (a) the...Ch. 3 - You are working as an assistant to an air-traffic...Ch. 3 - Review. The instantaneous position of an object is...Ch. 3 - Vectors A and B have equal magnitudes of 5.00. The...Ch. 3 - A rectangular parallelepiped has dimensions a, b,...Ch. 3 - A pirate has buried his treasure on an island with...
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- A firefighter, a distance d from a burning building, directs a stream of water from a fire hose at angle i above the horizontal as shown in Figure P3.16. If the initial speed of the stream is vi, at what height h does the water strike the building? Figure P3.16arrow_forwardFigure P3.28 illustrates typical proportions of male (m) and female (f) anatomies. The displacements d1m and d1f from the soles of the feet to the navel have magnitudes of 104 cm and 64.0 cm. respectively. The displacements d2m and d2f from the navel to outstretched fingertips have magnitudes of 100 cm and 86.0 cm, respectively. Find the vector sum of these displacements d3=d1+d2 for both people. Figure P3.28arrow_forwardWhat is the y component of the vector (3i8k) m/s? (a) 3 m/s (b) 8 m/s (c) 0 (d) 8 m/s (e) none of those answersarrow_forward
- A particle initially located at the origin has an acceleration of a=3.00jm/s2 and an initial velocity of vi=5.00im/s. Find (a) the vector position of the particle at any time t, (b) the velocity of the particle at any time t, (c) the coordinates of the particle at t = 2.00 s, and (d) the speed of the particle at t = 2.00 s.arrow_forwardJonah is walking along a trail. The trail heads east for 1350 meters, before turning north and continuing for 990 meters. At the end of the trail, what is Jonah's displacement vector? Options: 1670 m, 36.3∘36.3∘ north of east 1670 m, 36.3∘ east of north 2340 m, 31.0∘ east of north 2340 m, 31.0∘ north of eastarrow_forwardThe position r→ of a particle moving in an xy plane is given by r→=(3.00t^3−7.00t)i^+(6.00−2.00t^4)j^ with r→ in meters and t in seconds. In unit-vector notation, calculate(a)r→, (b)v→, and (c)a→ for t = 2.00 s. (d) What is the angle between the positive direction of the x axis and a line tangent to the particle's path at t = 2.00 s? Give your answer in the range of (-180o; 180o).arrow_forward
- Melinda is taking a tour through a new city. On the tour, she walks 0.40 miles south, 0.65 miles east, 0.78 miles north, 1.24 miles west, then 1.20 miles south. At the end of the tour, what is Melinda's displacement vector? 1.0 miles, 36∘ west of south 1.6 miles, 41∘ south of west 1.0 miles, 36∘ south of west 1.6 miles, 41∘ west of southarrow_forwardA rabbit runs across a parking lot on which a set of coordinate axes has, strangely enough, been drawn. The coordinates (meters) of the rabbit's position as functions of time t (seconds) are given by: x = -0.31t2 +7.2t+28 and y = 0,22t² - 9.1t+ 30. A) Att = 15 s, what is the rabbit's position vector in unit-vector notation and n magnitude-angle notation? B) Find the velocity vector at time t = 15 s. c) find the acceleration a at time t = 15s.arrow_forward1) Is the magnitude of the sum of two vectors |A+B| the same as the sum of the magnitudes |A|+|B|? a. always yes b. always no c. sometimes 2)Is the magnitude of the subtraction of two vectors |A−B| the same as the subtraction of the magnitudes |A|−|B|? a. always yes b. always no c. sometimesarrow_forward
- A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time are given by x=18.0t and y=4.00t−4.90t 2 , where x and y are in meters and t is in seconds. (a) Write a vector expression for the balls position as a function of time, using the unit vectors i^ and j^ . By taking derivatives, obtain expressions for (b) the velocity vector v as a function of time and (c) the acceleration vector a as a function of time. (d) Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t=3.00s.arrow_forwardIn the figure, a ball is launched with a velocity of magnitude 6.00 m/s, at an angle of 44.0° to the horizontal. The launch point is at the base of a ramp of horizontal length d1 = 6.00 m and height d2 = 3.60 m. A plateau is located at the top of the ramp. (a) Does the ball land on the ramp or the plateau? When it lands, what are the (b) magnitude and (c) angle of its displacement from the launch point?arrow_forwardA sailor in a small boat encounters shifting winds. She sails 8 km south, then 15 km 30o E of N, and then 12 km 25o N of W. Use the polygon method to determine the magnitude and direction of her resultant displacement.arrow_forward
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