45. Afisherman sets out upstream on a river. His small boat, powered bystill water. The water flows at a lower constant speed v. Thefisherman has traveled upstream for 2.00 km when his icechest falls out of the boat. He notices that the chest is missan outboard motor, travels at a constant speed v ining only after he has gone upstream for another 15.0 min. Atthat point, he turns around and heads back downstream, allthe time traveling at the same speed relative to the water. Hecatches up with the floating ice chest just as he returns to hisstarting point. How fast is the river flowing? Solve this prob-lem in two ways. (a) First, use the Earth as a reference frameWith respect to the Earth, the boat travels upstream at speedv- and downstream at v + v (b) A second much simpler and more elegant solution is obtained by using the water asthe reference frame. This approach has important applica-tions in many moreculating the motion of rockets and satellites and analyzingthe scattering of subatomic particles from massive targetscomplicated problems; examples are cal

Let us consider earth as a reference frame, vu be the velocity of boat travelling upstream, and vd…

Answered: 45. Afisherman sets out upstream on a…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 61P

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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?
A daring 51kg swimmer doves off a cliff a running horizontal leap . what must her minimum speed be just as she leaves the top of the cloff so that she will miss the ledge at the bottom which is L=2.25 m wide and h=9.50m below the cliff
A student at the top of a building of height h throws one ball upward with a speed of i and then throws a second ball downward with the same initial speed i. Just before it reaches the ground, is the final speed of the ball thrown upward (a) larger, (b) smaller, or (c) the same in magnitude, compared with the final speed of the ball thrown downward?
A fisherman sets out upstream on a river. His small boat, powered by an outboard motor, travels at a constant speed v in still water. The water (Urns at a lower constant speed vw. The fisherman has traveled upstream for 2.00 km when his ice chest falls out of the boat. He notices that the chest is missing only after he has gone upstream for another 15.0 min. At that point, he turns around and heads back downstream, all the time traveling at the same speed relative to the water. He catches up with the floating ice chest just as he returns to his starting point. How last is the river flowing? Solve this problem in two ways. (a) First, use the Earth as a reference frame. With respect to the Earth, the boat travels upstream at speed v vw, and downstream at v + vw. (b) A second much simpler and more elegant solution is obtained by using the water as the reference frame. This approach has important applications in many more complicated problems; examples are calculating the motion of rockets and satellites and analyzing the scattering of subatomic particles from massive targets.
Joe decides to race his younger sister, Debbie, and gives her a 25 m head start. At the instant Joe starts running, his sister reaches a velocity of 12 m/s [W] while accelerating at 0.4 m/s2 [W]. If Joe accelerates at a rate of 1.2 m/s2 [W], how long does it take for him to catch up to his sister?
A ski jumper starts from rest 47.5 m above the ground on a frictionless track and flies off the track at an angle of 45.0° above the horizontal and at a height of 18.0 m above the ground. Neglect air resistance. (a) What is her speed when she leaves the track? m/s(b) What is the maximum altitude she attains after leaving the track? m(c) Where does she land relative to the end of the track? m
A ball rolls along a smooth horizontal floor at 10 m/s, then starts up a 20° ramp. How high does it go before rolling back down?
*64. A jetliner can fl y 6.00 hours on a full load of fuel. Without any windit fl ies at a speed of 2.40 3 102 m/s. The plane is to make a round-trip byheading due west for a certain distance, turning around, and then headingdue east for the return trip. During the entire fl ight, however, the planeencounters a 57.8-m/s wind from the jet stream, which blows from westto east. What is the maximum distance that the plane can travel due westand just be able to return home?
a daredevil jumps a canyon 12 m wide. To do so, he drives a car up a 15 degree incline. What minimum speed must he achieve to clear the canyon?
(d) What is the the velocity of the truck when it's at ¾ the length of the ramp?
You are on the roof of the lecture hall, 51.8 m above ground. As your physics professor, who is 1.8 m tall, walks towards the hall at a constant speed of 1.2 m/s. If you wish to drop an egg on your professor's head, where should the professor be when you release the egg? Assume egg is in freefall and air resistance is ignored.
A crazy, young boy on a sled is able to get up to an incredible speed of 22.5 m/s (yes, he is wearing a helmet!)along a frictionless horizontal surface while he approaches an icy hill with a vertical height of 11 m, as shown.He makes it to the top, and then fies of horizontally from the ledge of the hill. How far from the base of thehill does the boy land?

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