Concept explainers
(a)
The dimension of the train moving along a flat, straight track.
(a)
Answer to Problem 1PQ
The motion of the train moving along a flat, straight track is one-dimensional.
Explanation of Solution
The motion of an object can be one-dimensional or multi-dimension and is depending on the path of the object.
- 1. If the motion of an object occurs along a straight line and only one coordinate is required to describe the position of the object, then it is one-dimensional motion.
- 2. If the motion of an object occurs along a curved path and two coordinates are required to describe the position of the object (x-axis and y-axis), then it is a two-dimensional motion.
- 3. If the motion of an object requires three co-ordinates (x, y and z-axes) to describe the position of the object, then it is a three-dimensional motion.
Here, the train is moving in one direction along a flat, straight track. The motion of the train can be explained using one axis, Therefore, the motion of the train moving along a flat, straight track is one-dimensional.
(b)
The dimension of the train that is moving in flat, straight track and then reverses direction.
(b)
Answer to Problem 1PQ
The motion of the train that is moving in a flat, straight track and then reverses direction is one-dimensional.
Explanation of Solution
Here, the train is moving in one direction along a flat, straight track; started to move in the reverse direction along the same straight track. The motion of the train can be explained in one-dimension whether in forward or backward direction.
Therefore, the motion of the train that is moving in a flat, straight track and then reverses its direction is one-dimensional.
(c)
The dimension of the train moves in one direction along a straight, downhill track.
(c)
Answer to Problem 1PQ
The dimension of the train moves in one direction along a straight, downhill track.
Explanation of Solution
Here, the train is moving in one direction along a straight, downhill track. The motion of the train can be explained in one-dimension as the track is downhill but still it is a straight line and the motion of the train can be described using a single axis.
Therefore, the motion of the train moving in one direction along a straight, downhill track is one-dimensional.
Want to see more full solutions like this?
Chapter 4 Solutions
Student Solutions Manual For Katz's Physics For Scientists And Engineers: Foundations And Connections, Volume 1
- Light travels at a speed of about 3 103 m/s. (a) How many miles down a pulse of light travel in a time interval of 0.1 s, which is about the blink of an eye? (b) Compare this distance to the diameter of Earth.arrow_forwardA book is moved once around the perimeter of a tabletop with the dimensions 1.0 m by 2.0 m. The book ends up at its initial position. (a) What is its displacement? (b) What is the distance traveled?arrow_forwardSuppose your hair grows at the rate of 1/32 inch per day. Find the rate at which it grows in nanometers per second. Because the distance between atoms in a molecule is on the order of 0.1 nm, your answer suggests how rapidly atoms are assembled in this protein synthesis.arrow_forward
- Tectonic plates are large segments of the Earth's crust that move slowly. Suppose that one such plate has an average speed of 4.0 cm/year. (a) What distance does it move in 1 s at this speed? (b) What is its speed in kilometers per million years?arrow_forwardThe layout of the town of Popperville is a perfectly square grid, with blocks 100 feet long (Fig. P3.8). A cat leaves her house and travels to Mike Mulligans place 4 blocks west and 3 blocks north of its starting point. After lapping up the milk that Mike always leaves out, the cat travels an additional 1 block north and 3 blocks east to Mrs. McGillicuttys house. a. On your paper, carefully copy the grid of streets that contains the cats house, Mike Mulligans house, and Mrs. McGillicuttys house. Then draw and label three displacement vectors on your sketch: r1, the cats displacement from her house to Mike Mulligans; r2, the cats displacement from Mike Mulligans to Mrs. McGillicuttys; and rtot, the cats total displacement. b. Write an equation to relate the three displacement vectors you have drawn. c. Is the distance the cat traveled greater than, less than, or equal to the magnitude of the cats total displacement vector? Explain. FIGURE P3.8arrow_forwardA Later in this book, you will study oscillating motion. Such motion is repetitive. Each complete repetition is called a cycle, and the frequency f is the number of cycles per unit time. The SI unit of frequency is s1. For a block oscillating at the end of a spring, the frequency depends on the mass m of the block, and the stiffness (spring constant) k of the spring. The dimensions of k are mass per time squared. Use dimensional analysis to find the mathematical dependence of f on k and m.arrow_forward
- A student writes, "A bird that is diving for prey has a speed of -10 m / s." What is wrong with the student's statement? What has the student actually described? Explain.arrow_forwardA map suggests that Atlanta is 730 miles in a direction of 5.00 north of cast from Dallas. The same map slum's that Chicago is 560 miles in a direction of 21.0 west of north from Atlanta. Figure P3.24 shows the locations of these three cities. Modeling the Earth as flat, use this information to find the displacement from Dallas 10 Chicago.arrow_forwardHow many minutes would it take to travel a distance of 7000 meters if you are traveling at a speech of 60 meters per second? Use the formula distance = speed x time. In lecture, we were given the formula V= λ/T. Sometimes we have to manipulate this formula to answer the question we are being asked. 4a. How do we manipulate the formula V= λ/T if we are given a problem where we need to find T? 4b. How do we manipulate the formula V= λ/T if we are given a problem where we need to find λ?arrow_forward
- Meanwhile at the ballpark Juan was practicing his hitting while talking to some friends. He started telling them how he hit the ball over the 50 foot light tower yesterday. The formula for this hit is , h(x)=-16x^2+60x+4, where h is the height of the ball and x is the number of seconds the ball is in the air. 1. How can Juan provide proof to the friends that he actually hit the ball over the tower? 2. How high did Juan actually hit the ball? Is Juan able to mathematically back up how high he says he hit the ball?arrow_forwarda bug starts at the center of a 12 inch phonograph record and crawls along a straight radial line to the edge. While this is happening, the record turns through an angle of 45 degrees. Draw a sketch of the situation and describe the magnitude and direction of the bug's final displacement from its starting pointarrow_forwardYou fly 5400 km across the United States on an airliner at 220 m/s . You return two days later traveling at the same speed. You may want to review (Pages 1035 - 1039) . Part A Have you aged more or less than your friends at home? Have you aged more or less than your friends at home? more less Request Answer Part B By how much?arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College