Concept explainers
(a)
Interpretation:
The equation of motion that describes the given system is to be stated.
Concept introduction:
Newton’s law of motion gives the relation between the forces acting on a system and the motion of the system.
The Lagrangian function is the formulation of the
(b)
Interpretation:
The equation of motion describing the given system is to be stated.
Concept introduction:
Newton’s law of motion gives the relation between the forces acting on a system and the motion of the system.
The Lagrangian function is the formulation of the classical mechanics. According to mechanics, the Lagrangian function is the difference of kinetic energy and potential energy which is expressed as functions of positions and velocity.
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Student Solutions Manual for Ball's Physical Chemistry, 2nd
- Two nitro (NO2) groups are chemically bonded to a patch of surface. They can't move to another location on the surface, but they can rotate (see sketch at right). It turns out that the amount of rotational kinetic energy each NO2 group can have is required to be a multiple of €, where € = 1.0 × 1024 J. In other words, each NO2 group could have & of rotational kinetic energy, or 2ɛ, or 3%, and so forth - but it cannot have just any old amount of rotational kinetic energy. Suppose the total rotational kinetic energy in this system is initially known to be 87. Then, some heat is removed from the system, and the total rotational kinetic energy falls to 59. Calculate the change in entropy. Round your answer to 3 significant digits, and be sure it has the correct unit symbol. Two rotating NO2 groups bonded to a surface. x10 ☐ ☐ 1 Garrow_forwardThe energy of the van der Waals bond, which is responsible for a number of the characteristics of water, is about 0.50 eV. (a) At what temperature would the average translational kinetic energy of water molecules be equal to this energy? (b) At that temperature, would water be liquid or gas? Under ordinary everyday conditions, do van der Waals forces play a role in the behavior of water?arrow_forwardIII Climate change - Sea level rise A large part of sea level rise would be derived from temperature dependent density changes. Make a simple back of the envelope calculation (justifying your assumption) what would happen in terms of sea level rise if the average ocean water temperature were to increase by 1 degree Celsius.arrow_forward
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- At a given instant in an airplane race, airplane A is flying horizontally in a straight line, and its speed is being increased at the rate of 8 m/s2. Airplane B is flying at the same altitude as airplane A and, as it rounds a pylon, is following a circular path of 300-m radius. Knowing that at the given instant the speed of B is being decreased at the rate of 3 m/s2, determine, for the positions shown, (a) the velocity of B relative to A, (b) the acceleration of B relative to A.arrow_forwardPart B The pressure in car tires is often measured in pounds per square inch (Ib/in.), with the recommended pressure being in the range of 25 to 45 lb/in.2. Suppose a tire has a pressure of 42.5 lb/in.? . Convert 42.5 lb/in.? to its equivalent in atmospheres. Express the pressure numerically in atmospheres. • View Available Hint(s) να ΑΣφ ? 42.5 lb/in.? : atmarrow_forward3. Oxygen travels at a velocity of 29.0 m/s. At what velocity would SF4 travel under the same conditions?arrow_forward
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