Concept explainers
Videos
The time taken by the car to pass the train and the distance travelled by the car in this time if the car and train are travelling in same direction. Also the time taken by the car to pass the train and the distance travelled by the car if the car and train are travelling in opposite directions.
Answer to Problem 73GP
The time taken by the car to pass the train if the car and train are travelling in same direction is t=198 s .
The distance traveled by the car in this time if the car and train are travelling in same direction is L=5.23 km .
The time taken by the car to pass the train if the car and train are travelling in opposite directions is t=23.4 s .
The distance traveled by the car in this time if the car and train are travelling in opposite directions is L=0.62 km .
Explanation of Solution
Given:
The speed of the car is vcar=95 km/h .
The length of the train is d=1.10 km .
The speed of the train is vtrain=75 km/h .
Formula used:
The expression for relative speed is,
v=vcar−vtrain
Here, vcar is the speed of the car and vtrain is the speed of the train.
The expression for the time is,
t=dv
Here, d is the distance travelled and v is the relative speed.
The expression for the distance travelled is,
L=vcart
Here, vcar is the speed of the car and t is the time.
Calculation:
Consider the car and train is travelling in same direction.
The relative speed is,
v=vcar−vtrain=(95 km/h)−(75 km/h)=20 km/h
The time taken by the car to pass the train is,
t=dvt=1.10 km20 km/ht=0.055 h×60 min1 hr×60 s1 mint=198 s
The distance travelled by the car, if both are travelling in same direction, is
L=vcartL=(95 km/h)×(0.055 h)L=5.23 km
The relative speed , when both vehicles are travelling in opposite directions, is
v=vcar−vtrain=(95 km/h)−(−75 km/h)=170 km/h
The time taken by the car to pass the train, if both are travelling in opposite direction, is
t=dvt=1.10 km170 km/ht=0.0065 h×60 min1 hr×60 s1 mint=23.4 s
The distance travelled by the car if the car and train is travelling in opposite direction is,
L=vcartL=(95 km/h)×(0.0065 h)L=0.62 km
Conclusion:
Thus, the time taken by the car to pass the train if the car and train are travelling in same direction is t=198 s .
Thus, the distance travelled by the car in this time if the car and train are travelling in same direction is L=5.23 km .
Thus, the time taken by the car to pass the train if the car and train are travelling in opposite directions is t=23.4 s .
Thus, the distance traveled by the car in this time if the car and train are travelling in opposite directions is L=0.62 km .
Chapter 2 Solutions
Physics: Principles with Applications
Additional Science Textbook Solutions
Applications and Investigations in Earth Science (9th Edition)
Organic Chemistry (8th Edition)
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
Human Physiology: An Integrated Approach (8th Edition)
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Microbiology with Diseases by Body System (5th Edition)
- Please help me answer the following question. I am having trouble understanding the directions of the things the question is asking for. Please include a detailed explanation and possibly drawings of the directions of Bsource, Binduced, and Iinduced.arrow_forward43. A mass må undergoes circular motion of radius R on a hori- zontal frictionless table, con- nected by a massless string through a hole in the table to a second mass m² (Fig. 5.33). If m₂ is stationary, find expres- sions for (a) the string tension and (b) the period of the circu- lar motion. m2 R m₁ FIGURE 5.33 Problem 43arrow_forwardCH 70. A block is projected up an incline at angle 0. It returns to its initial position with half its initial speed. Show that the coefficient of ki- netic friction is μk = tano.arrow_forward
- Passage Problems A spiral is an ice-skating position in which the skater glides on one foot with the other foot held above hip level. It's a required element in women's singles figure-skating competition and is related to the arabesque performed in ballet. Figure 5.40 shows Canadian skater Kaetlyn Osmond executing a spiral during her medal-winning perfor- mance at the 2018 Winter Olympics in Gangneung, South Korea. 77. From the photo, you can conclude that the skater is a. executing a turn to her left. b. executing a turn to her right. c. moving in a straight line out of the page. 78. The net force on the skater a. points to her left. b. points to her right. c. is zero. 79. If the skater were to execute the same maneuver but at higher speed, the tilt evident in the photo would be a. less. b. greater. c. unchanged. FIGURE 5.40 Passage Problems 77-80 80. The tilt angle 0 that the skater's body makes with the vertical is given ap- proximately by 0 = tan¯¹(0.5). From this you can conclude…arrow_forwardFrictionless surfarrow_forward71. A 2.1-kg mass is connected to a spring with spring constant 72 k = 150 N/m and unstretched length 18 cm. The two are mounted on a frictionless air table, with the free end of the spring attached to a frictionless pivot. The mass is set into circular mo- tion at 1.4 m/s. Find the radius of its path. cor moving at 77 km/h negotiat CH —what's the minimum icient of frictioarrow_forward
- 12. Two forces act on a 3.1-kg mass that undergoes acceleration = 0.91 0.27 m/s². If one force is -1.2î – 2.5ĵ N, what's the other?arrow_forward36. Example 5.7: You whirl a bucket of water around in a vertical circle of radius 1.22 m. What minimum speed at the top of the circle will keep the water in the bucket?arrow_forwardPassage Problems Laptop computers are equipped with accelerometers that sense when the device is dropped and then put the hard drive into a protective mode. Your computer geek friend has written a program that reads the accel- erometer and calculates the laptop's apparent weight. You're amusing yourself with this program on a long plane flight. Your laptop weighs just 5 pounds, and for a long time that's what the program reports. But then the "Fasten Seatbelt" light comes on as the plane encounters turbu- lence. Figure 4.27 shows the readings for the laptop's apparent weight over a 12-second interval that includes the start of the turbulence. 76. At the first sign of turbulence, the plane's acceleration a. is upward. b. is downward. c. is impossible to tell from the graph. 77. The plane's vertical ac- celeration has its greatest magnitude a. during interval B. b. during interval C. c. during interval D. 78. During interval C, you can conclude for certain that the plane is Apparent…arrow_forward
- If the metal sphere on the Van de Graff has a charge of 0.14 Coulombs and the person has a mass of 62 kg, how much excess charge would the person need in order to levitate at a distance 25 cm from the center of the charged metal sphere? Assume you can treat both the person and the metal sphere as point charges a distance 25 cm from each otherarrow_forwardIf the metal sphere on the Van de Graff has a charge of 0.14 Coulombs and the person has a mass of 62 kg, how much excess charge would the person need in order to levitate at a distance 25 cm from the center of the charged metal sphere? Assume you can treat both the person and the metal sphere as point charges a distance 25 cm from each other (so that you can use Coulomb's Law to calculate the electrical force).arrow_forwardUsing Coulomb's Law, calculate the magnitude of the electrical force between two protons located 1 meter apart from each other. (Give your answer as the number of Newtons but as usual you only need to include the number, not the unit label.)arrow_forward
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction 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 Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON