Concept explainers
You are taking flying lessons from an experienced pilot. You and the pilot are up in the plane, with you in the pilot seat. The control tower radios the plane, saying that, while you have been airborne, a 25-mi/h crosswind has arisen, with the direction of the wind perpendicular to the runway on which you plan to land. The pilot tells you that your normal airspeed as you land will be 80 mi/h relative to the ground. This speed is relative to the air, in the direction in which the nose of the airplane points. He asks you to determine the angle at which the aircraft must be “crabbed.” that is, the angle between the centerline of the aircraft and the centerline of the runway that will allow the airplane’s velocity relative to the ground to be parallel to the runway.
Trending nowThis is a popular solution!
Chapter 4 Solutions
Physics for Scientists and Engineers with Modern Physics
- A cannon fires a shell traveling 150 m/s in the horizontal direction and 150 m/s in the vertical direction. The cannon is on a cliff 100 meters above the ocean water below. What is the maximum altitude (in meters) above the water the cannon ball reaches?arrow_forwardA relief airplane is delivering a food package to a group of people stranded on a very small island. The island is too small for the plane to land on, and the only way to deliver the package is by dropping it. The airplane flies horizontally with constant speed of 482 km/hour at an altitude of 675 m . The positive x and y directions are defined in the figure. For all parts, assume that the "island" refers to the point at a distance D from the point at which the package is released, as shown in the figure. Ignore the height of this point above sea level. Assume that the free-fall acceleration is g = 9.80 m/s2 . a. After a package is dropped from the plane, how long will it take for it to reach sea level from the time it is dropped? Assume that the package, like the plane, has an initial velocity of 482 km/hour in the horizontal direction. Neglect air resistance. b. If the package is to land right on the island, at what horizontal distance D (in meters) from the plane to the island…arrow_forwardA sailor is stuck on a tropical island and emergency supplies are airlifted to her before the ship can come to her rescue. The supply plane is flying at an altitude of H = 200 ft and it is moving horizontally at a speed of 250 mph. How far before the island must the supply package be released if it is to just reach the island?arrow_forward
- A woman is on a train leaving the station at 3.0 m/s, while a friend waving goodbye runs alongside the car she's in. Call the train's direction of motion the +z direction. 60°F ▼ ▼ Part A Uz,w= 1 If the friend is running at 7.0 m/s and moving in the same direction as the train, how fast must the woman walk, and in which direction, to keep up with him? Express your answer with the appropriate units. Submit Part B μA Value Request Answer μA @ 9 Units Once the train has reached a speed of 10 m/s, how fast must the woman walk, and in which direction, to keep up with her friend? Express your answer with the appropriate units. ? 5 of 12 C? Reviewarrow_forwardYou go watch your friend as she runs at a cross country meet. The first time she passes you, your friend runs by going due north at a speed of 4.40 m/s. You move to a different place on the course and twelve minutes after you saw her the first time, your friend runs past you again. This time she is traveling at a speed of 3.80 m/s in the direction 30.0° W of S. What is the direction of her average acceleration between those same two times?arrow_forwardA relief airplane is delivering a food package to a group of people stranded on a very small island. The island is too small for the plane to land on, and the only way to deliver the package is by dropping it. The airplane flies horizontally with constant speed of 352 km/hour at an altitude of 875 m . The positive x and y directions are defined in the figure. For all parts, assume that the "island" refers to the point at a distance D from the point at which the package is released, as shown in the figure. Ignore the height of this point above sea level. Assume that the free-fall acceleration is g = 9.80 m/s2 After a package is dropped from the plane, how long will it take for it to reach sea level from the time it is dropped? Assume that the package, like the plane, has an initial velocity of 352 km/hour in the horizontal direction. Express your answer numerically in seconds. Neglect air resistance. If the package is to land right on the island, at what horizontal distance D from…arrow_forward
- A relief airplane is delivering a food package to a group of people stranded on a very small island. The island is too small for the plane to land on, and the only way to deliver the package is by dropping it. The airplane flies horizontally with constant speed of 352 km/hour at an altitude of 875 m . The positive x and y directions are defined in the figure. For all parts, assume that the "island" refers to the point at a distance D from the point at which the package is released, as shown in the figure. Ignore the height of this point above sea level. Assume that the free-fall acceleration is g = 9.80 m/s2 . The speed at which the package hits the ground is really fast! If a package hits the ground at such a speed, it can be crushed and also cause some serious damage on the ground. Would it help to decrease the speed with which the package hits the ground by increasing or decreasing the plane's speed and height?arrow_forwardA boat travels down a river. Relative to the riverbank, the water moves at a constant speed of 22 m/s in a direction of 60° NW. A woman on the boat drops a flask into the river. After 1.2 seconds, the woman noticed the flask, moving with the water, had traveled 18 m in a direction of 20° SE. A REMINDER: A velocity is a magnitude and direction Relative to the riverbank, what is the velocity of the boat? Draw a bird’s eye view, from the boat’s perspective, displaying the other objects velocities (The water, the riverbank, and the flask)arrow_forwardA baseball pitcher is warming up as he travels to a game on an airplane. The plane is flying at 400 km/h due west relative to the ground. The pitcher throws the ball at 150 km/h toward the front of the plane(relative to the plane). What is the ball’s velocity relative to the ground?arrow_forward
- In 1987, as a Halloween stunt, two sky divers passed a pumpkin back and forth between them while they were in free fall just west of Chicago.The stunt was great fun until the last sky diver with the pumpkin opened his parachute. The pumpkin broke free from his grip, plummeted about 0.5 km, ripped through the roof of a house, slammed into the kitchen floor, and splattered all over the newly remodeled kitchen. From the sky diver’s viewpoint and from the pumpkin’s viewpoint, why did the sky diver lose control of the pumpkin?arrow_forwardA rescue plane is flying at a speed of 98 m / s at 353 meters above the ground. If you drop a box of supplies, how far will it travel horizontally?arrow_forwardAn archer on the roof of a tower shoots an arrow at a bird in flight. The arrow travels at 255 m/s. The bird is directly across from the archer at a distance of 90.0 m. The archer misses. If the tower is 200 m tall and if we assume the cow is at ground level, will his stray arrow hit the cow? (The cow is 145 m away from the tower.)arrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON