Concept explainers
Figure 2.11 shows the motion of various objects:
Case 1. A person on a moving Ferris wheel
Case 2. A person on a loop-the-loop roller coaster
Case 3. The tire on a moving bicyclc
Case 4. The person on the bicycle
Consider the displacement of points on each object, and decide whether the object is undergoing pure translational motion and therefore may be modeled as a particle.
2.3 If the displacement of every point on the object is the same, the object is undergoing purely translational motion and may be modeled as a particle.
Case 1. A person on a Ferris wheel may be modeled as a particle.
Case 2. A person on a loop-the-loop roller coaster may not be modeled as a particle because the person flips upside down as he moves along the track.
Case 3. The tire on a bicycle may not be modeled as a particle.
Case 4. The person on a bicycle may be modeled as a particle.
Want to see the full answer?
Check out a sample textbook solutionChapter 2 Solutions
Physics for Scientists and Engineers: Foundations and Connections
- 1. The final push to the summit of Mt. Everest starts at Camp 3. Your displacement from Camp 3 to Camp 4 is 400 meter west, 600 meter south, and 100 meter up. From Camp 4 to the peak is 900 meter east, 200 meter south, and 200 meter up. a. What is the displacement from Camp 3 to the peak of Mt. Everest? Give distances east/west, north/south and up/down from Camp 3 to the peak. b. What is the straight-line distance from Camp 3 to the peak of Mt. Everest? The straight-line distance is the distance if you drew a straight line from Camp 3 to Mt. Everest.arrow_forwardB. Answer the following problems. Show your complete solutions. 1. If a stone is thrown vertically upward from the surface of the moon with a velocity of 10 meters per second (m/s), its height (in m) after t seconds (s) is h = 10t - 0.83F. a. What is the velocity of the stone after 3 s? b. What is the velocity of the stone if it has risen by 25 m? 2. A spherical balloon is being inflated. Find the rate of increase if the surface area (S = 4tr²) with respect to the radius r are the following: a. 0.3 m b. 0.61 m C. 0.91 m Differentiation and Integrationarrow_forwardA 45-caliber bullet shot straight up from the surface of the earth would reacha height of s(t) = 832t − 16t^2 after t seconds.1. Find the bullets velocity function.2. Find the bullets acceleration function.3. How long does it take the bullet to reach its highest point?4. How high does the bullet go?5. When will the bullet be 816 feet in the air? Only questions 4 and 5!arrow_forward
- A. From the perspective of point x, vector a and vector b are approaching with around the same speed. From Joseph's perspective, the two are walking with around the same speed. Determine if vector a is approaching with the same speed, twice the speed, or half the speed from the perspective of vector b. Explain.B. Vectors x and y are moving with uniform velocities. If the image below is t = 0, how long will it take (in seconds) for vector x to be in the same position with vector y? How far should vector x have traveled (in meters) by the time it has overtaken the position of vector y? Show proper solution.arrow_forwardCLO 2 Given A =(x y, -yz, yz). If point T is located at (2.5,8.6,4.5), find the distance vector from T to S if S is 6.8 units away from T and is in the same direction as A at T. O a. (1.96,-1.41,6.36) O b. None of the choices O c. (-13.34,9.60,-43.22) d. (-1.96,1.41,-6.36) O e. (13.34,-9.60,43.22) O f. (0.29,0.21,0.93) CLO 2 The position vector of P(8,-1,3) isarrow_forwardA 45-caliber bullet shot straight up from the surface of the earth would reacha height of s(t) = 832t − 16t^2 after t seconds.1. Find the bullets velocity function.2. Find the bullets acceleration function.3. How long does it take the bullet to reach its highest point?4. How high does the bullet go?5. When will the bullet be 816 feet in the air?arrow_forward
- (the complete question is in the picture) Which of the following quantities is a scalar? A. A Xiao Lantern floating straightup in the air at 0.5 [m/s].B. Mona sprinting forward at a rateof 9 [m/s] using Illusory Torrent.C. Defeating a Geo Hypostasis in30 [s].D. A Frostarm Lawachurl sprinting5 [m] to his right to charge at you.arrow_forwardHi, I need to some help for question 3. I did the first and second question. But I have some problems with the question 3. Is third question related to one and second? So please can you explain it like I am five. If it requires for number 1 I found v = 0, 48 x 106 m/s B as 0.5 T r = 2.04 m for question 2 I as 500 A n = 796 turn/m Thank you so much.arrow_forwardA gardener walks in a flower garden as illustrated in the figure below. What distance does the gardener travel?m A coordinate plane has a horizontal axis labeled Distance (meters) and a vertical axis that is also labeled Distance (meters). A garden path is drawn on the coordinate system, and four arrows represent the path the gardener walks. The arrows are as follows:From (0,6) to (2,6),from (2,6) to (2,5),from (2,5) to (4,5),and from (4,5) to (4,3).arrow_forward
- 2. A bead on a wire can slide with negligible friction on a hoop with radius R rotating at a constant rate with a period T. а. Find the angle 0 at which the bead would not slide on the hoop. Express this in terms of the values given above and any constants (e.g. g). Note: A FBD and proper setup of NII equations are required here. Do your algebra. b. If the period increases, will the bead slide upward, slide downward, or do neither? Explain why, using your result from part a. Can 0 be greater than or equal to 90°? Why or why not? Use FBDS and your result С. from part a as evidence. d. Are there any other angles at which the ball will not slide on the hoop? Explain why. Note: Think very carefully about your forces here. Use FBDS.arrow_forward3. Geodesic on a Sphere The shortest path between two points on a curved surface, such as the surface of a sphere, is called a geodesic. To find a geodesic, one has first to set up an integral that gives the length of a path on the surface in question. (a) F.3 on p619 in T&M) to show that the length of a path joining two points on a sphere of radius R is To illustrate this, use spherical polar coordinates (r, 0, ø) (see Appendix 1+sin2 0l(0)2 de L=R 01 if (01,1) and (02, P2) specify the two points and we assume that the path is ex- pressed as = (0). (b) two given points on a sphere is a great circle. Use the above result to prove that the geodesic (shortest path) between Hint: The integrand f(o, ;0) in above result is independent of ø, so the Euler- Lagrange equation reduces to a af/od = c, a constant. This gives you as a function of 0. You can avoid doing the final integral by the following trick: There is no loss of generality in choosing your z axis to pass through the point 1. Show…arrow_forwardA. From the given figure shown. Which of the following gives the total length of the circular arc and the straight line?B. Which of the following gives the location of its centroid with respect to the x-axis?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