Concept explainers
Review. The biggest stuffed animal in the world is a snake 420 m long, constructed by Norwegian children. Suppose the snake is laid out in a park as shown in Figure P3.39, forming two straight sides of a 105° angle, with one side 240 m long. Olaf and Inge run a race they invent. Inge runs directly from the tail of the snake to its head, and Olaf starts from the same place at the same moment but runs along the snake. (a) If both children run steadily at 12.0 km/h. Inge reaches the head of the snake how much earlier than Olaf? (b) If Inge runs the race again at a constant speed of 12.0 km/h. at what constant speed must Olaf run to reach the end of the snake at the same time as Inge?
Figure P3.39
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Physics for Scientists and Engineers with Modern Physics
- In 1780, in what is now referred to as “Brady’s Leap,” Captain Sam Brady of the U.S. Continental Army escaped certain death from his enemies by running horizontally off the edge of the cliff above Ohio’s Cuyahoga River, which is confined at that spot to a gorge. He landed safely on the far side of the river. It was reported that he leapt 22 ft across while falling 20 ft. Tall tale, or possible?a. What is the minimum speed with which he’d need to run off the edge of the cliff to make it safely to the far side of the river?b. The world-record time for the 100 m dash is approximately 10 s. Given this, is it reasonable to expect Brady to be able to run fast enough to achieve Brady’s leap?arrow_forwardA commuter airplane starts from an airport and takes the route shown in Figure P3.19. The plane first flies to city A, located 175 km away in a direction 30.0° north of east. Next, it flies for 150 km 20.0° west of north, to city B. Finally, the plane flies 190 km due west, to city C. Find the location of city C relative to the location of the starting point.arrow_forwardThe biggest stuffed animal in the world is a snake 420 m long, constructed by Norwegian children. Suppose the snake is laid out in a park as shown,forming two straight sides of a 105° angle, with one side 240 m long. Olaf and Inge run a race they invent. Inge runs directly from the tail of the snake to its head, and Olaf starts from the same place at the same moment but runs along the snake. (a) If both children run steadily at 12.0 km/h, Inge reaches the head of the snake how much earlier than Olaf? (b) If Inge runs the race again at a constant speed of 12.0 km/h, at what constant speed must Olaf run to reach the end of the snake at the same time as Inge?arrow_forward
- Use the component method to add the vectors A and B shown in Figure P3.9. Both vectors have mag- nitudes of 3.00 m and vector A makes an angle of 0 = 30.0° with the x axis. Express the resultant Á + B in unit-vector notation.arrow_forwardYou are assigned to do some calculations for a movie stunt that involves a car on a straight road. The road, pictured above, has a hill that rises 8.0 m above the flat region. The top of the hill is a circular arc of radius 20 m. You need to determine whether a car traveling under certain conditions will lose contact with the road at the top of the hill. There is a stop sign 50 m from the beginning of the hill. You are to assume that a car of mass 1600 kg accelerates uniformly from rest at the stop sign, has a speed of when it reaches the beginning of the hill, and then coasts with the engine off. Assume energy losses due to friction and air resistance are negligible. Calculate the magnitude of the acceleration of the car during the first 50 m. Calculate the time it takes the car to reach the beginning of the hill. Calculate the magnitude of the net force required to accelerate the car during the first 50 m.arrow_forwardWhile exploring a cave, a spelunker starts at the entrance and moves the following distances in a hori- zontal plane. She goes 75.0 m north, 250 m east, 125 m at an angle u 5 30.0° north of east, and 150 m south. Find her resultant displacement from the cave entrance. Figure P3.21 suggests the situation but is not drawn to scale.arrow_forward
- Q2. A drone is used to spray pesticide in a farm. It covers (d1=30 m) towards south. Then it flies (d2=40 m) in a direction 350 east of south, then by changing its direction it covers a distance of (d3=50m) in the direction 650 east of north and finally it covers a displacement (d4=65m) in a direction of 300 south of west. Calculate total displacement (d) covered by the drone and its direction.arrow_forwardGordon likes to take his dog for a walk on the beach each morning. The beach near his home is quite large, so he can park his car on it. He has a routine that he likes to stick to. Gordon parks his car at a point C that is 34◦ west of south of a point L where the lifeguard sits. He then walks in a straight line from his car to L. Next, he changes direction and walks due south along the shoreline in a straight line for 1200 metres until he reaches a large rock R, where he turns again and heads straight back to his car, which is 740 metres from the large rock. (You may assume that the beach is flat and all distances are measured in a straight line.) (iii) Find the distance between Gordon’s car and the lifeguard. Give your answer correct to two significant figures.arrow_forwardGordon likes to take his dog for a walk on the beach each morning. The beach near his home is quite large, so he can park his car on it. He has a routine that he likes to stick to. Gordon parks his car at a point C that is 34◦ west of south of a point L where the lifeguard sits. He then walks in a straight line from his car to L. Next, he changes direction and walks due south along the shoreline in a straight line for 1200 metres until he reaches a large rock R, where he turns again and heads straight back to his car, which is 740 metres from the large rock. (You may assume that the beach is flat and all distances are measured in a straight line.) (c) (i) Use the Sine Rule to find the angle at C. Give your answer correct to the nearest degree.(ii) Use your answer to part (c)(i) to find the angle at R. Give your answer correct to the nearest degree.(iii) Find the distance between Gordon’s car and the lifeguard. Give your answer correct to two significant figures.arrow_forward
- Gordon likes to take his dog for a walk on the beach each morning. The beach near his home is quite large, so he can park his car on it. He has a routine that he likes to stick to. Gordon parks his car at a point C that is 34◦ west of south of a point L where the lifeguard sits. He then walks in a straight line from his car to L. Next, he changes direction and walks due south along the shoreline in a straight line for 1200 metres until he reaches a large rock R, where he turns again and heads straight back to his car, which is 740 metres from the large rock. (You may assume that the beach is flat and all distances are measured in a straight line.) (a) Sketch a diagram of the situation, showing the points C for the position of Gordon’s car, L for the position of the lifeguard, and R for the position of the rock. Mark in the angle and the lengths that you are given. Join the three points with line segments to make the triangle CLR, given that the angle at C is an acute angle.arrow_forwardCalculus In a computer game, an airplane starts at the (x,y) coordinate (1,5) in cm on the curve y=(2.5t+2)^-1.8 cm and moves with a constant horizontal velocity of V_x=1.3cm/s. What is the plane's velocity after 1.6 seconds? Select your answer from one of the following options. a)1.3 angle 358.7 b)1.3 angle 271.3 c)1.2 angle 88.7 D1.7 angle 271.3arrow_forwardWhile vacationing in the prairie you go on a nature walk. First you walk 160 m south, then a coyote chases you 260 m southwest, then you walk 300 m in a direction 40° east of north. First draw an accurate graphical representation of your motion using a ruler and a protractor. Then use either trigonometry or components to find the displacement (in m) that will return you to your starting point by the most direct route.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