Concept explainers
For an Einstein solid with each of the following values of N and q, list all of the possible microstates, count them, and verify formula 2.9.
(a)
(b)
(c)
(d)
(e)
(f)
(g)
Learn your wayIncludes step-by-step video
Chapter 2 Solutions
An Introduction to Thermal Physics
Additional Science Textbook Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Essential University Physics: Volume 1 (3rd Edition)
Conceptual Physics (12th Edition)
The Cosmic Perspective Fundamentals (2nd Edition)
Essential University Physics: Volume 2 (3rd Edition)
- can you help me to solve this? and kindly put the answers as whole number or decimals and not the significant figures? Thank you!arrow_forwardGiven vector A = <1, 10, 0> and vector B = <-10, 6, 0> , what is the angle between vectors A and B in degrees? Given vector A = <16, 12, -16> and vector B = <21, 24, -21> , what is the component magnitude of vector B in the direction of vector A? Given vector A = <23, -3, 3> and vector B = <0, 18, 15> , what is the magnitude of A x B? (Compute up to 4 decimal places)arrow_forwardPLEASE HELP ME ANSWER WITH SOLUTION 3,6arrow_forward
- If k is any positive number, what is the size of the angle between the vectors a = (k, k) andb = (-3, 4)?arrow_forwardConvert the equation z=x²+y² to spherical coordinatesarrow_forwardA breeder wants to fence off his four-sided plot of flat land, as shown in the figure. He measures the first three sides, labeled as A, B, and C, where A = 4.8 km, B = 2.64 km, and C = 2.78 km, and then correctly calculates the length and orientation of the fourth side D. What is the length of vector D in kilometer? Please explain how you got your answer in detail.arrow_forward
- Solve the following system by graphing and verify that your solution satisfies the system. {2x + y = 20 {x + y = 12 (x, y) = ( ? )arrow_forwardGiven P(47, 169 deg, 153 deg) in spherical coordinate system, what is y in rectangular coordinates of P? Given P(5, -49, -15) in rectangular coordinate system, what is Φ (phi) in spherical coordinates of P in degrees? Given P(31, 63 deg, -132 deg) in spherical coordinate system, what is z in rectangular coordinates of P? (Compute up to 4 decimal places)arrow_forwardIn this problem we are going to consider two different examples of the dot product between two vectors, a force F and a displacement delta r.  (a) if the force vector has a magnitude of F= 19 N, The displacement has a length of deltas=1.2 m, and the angle between the vectors is 35°, what will the dot product between the vector F and the vector delta r be? You can answer in Joules (which is the same as Newton meters) . (B) if the force vector has components fx =8.5 N and F y=12 N,  and the displacement factor has components delta rx=0.15 m and delta ry=0.61m, what is the dot product between them? Again, enter the answer in joules. arrow_forward
- can you please give me the solution for 1.6, thanksarrow_forwardOn a plane flat surface with "up" given as +y and "right" given as +x, we add two vectors. One of them has components (4, 4). Their sum is (3,6). What is the unknown second vector and what is its angle to the x-axis? Hint: The angle is the one that has a tangent that is the ratio of its y to its x component, or a sine that is the y component divided by its length. The second vector is (-1,-2). It is about 63° down from -x. The second vector is (7,10). It is about 55° up from +x. The second vector is (1,-2). It is about 63° down from +x. The second vector is (-1,2). It is about 63° up from -x.arrow_forwardA certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is crawling on an adjacent wall at a point having coordinates (2.7, 1.8), where the units are meters, what is the location of the fly in polar coordinates?arrow_forward
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning