Bundle: Physics for Scientists and Engineers, Volume 2, Loose-leaf Version, 10th + WebAssign Printed Access Card, Single-Term
10th Edition
ISBN: 9781337888745
Author: SERWAY, Raymond A., Jewett, John W.
Publisher: Cengage Learning
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Chapter 3, Problem 42AP
You are working as an assistant to an air-traffic controller at the local airport, from which small airplanes take off and land. Your job is to make sure that airplanes are not closer to each other than a minimum safe separation distance of 2.00 km. You observe two small aircraft on your radar screen, out over the ocean surface. The first is at altitude 800 m above the surface, horizontal distance 19.2 km. and 25.0° south of west. The second aircraft is at altitude 1 100 m, horizontal distance 17.6 km, and 20.0° south of west. Your supervisor is concerned that the two aircraft are too close together and asks for a separatism distance for the two airplanes. (Place the x axis west, the y axis south, and the z axis vertical.)
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Part C
Find the height yi
from which the rock was launched.
Express your answer in meters to three significant figures.
Learning Goal:
To practice Problem-Solving Strategy 4.1 for projectile motion problems.
A rock thrown with speed 12.0 m/s and launch angle 30.0 ∘ (above the horizontal) travels a horizontal distance of d = 19.0 m before hitting the ground. From what height was the rock thrown? Use the value g = 9.800 m/s2 for the free-fall acceleration.
PROBLEM-SOLVING STRATEGY 4.1 Projectile motion problems
MODEL: Is it reasonable to ignore air resistance? If so, use the projectile motion model.
VISUALIZE: Establish a coordinate system with the x-axis horizontal and the y-axis vertical. Define symbols and identify what the problem is trying to find. For a launch at angle θ, the initial velocity components are vix=v0cosθ and viy=v0sinθ.
SOLVE: The acceleration is known: ax=0 and ay=−g. Thus, the problem becomes one of…
Phys 25
Chapter 3 Solutions
Bundle: Physics for Scientists and Engineers, Volume 2, Loose-leaf Version, 10th + WebAssign Printed Access Card, Single-Term
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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