A water molecule has initially zero kinetic energy (both rotational and translational). A collision with another water molecule provides the energy of 10−20 J. What is the ratio of kinetic translational and rotational energies of the water molecule assuming that the energy of the impact has redistributed among water’s rotations and translations?

Let's consider the three atoms composing the molecule now have different masses and coordinate, while the axis of rotation is still z axis that is perpendicular to the xy plane. The first atom has a mass of 142.54 kg, with x coordinate at 3 m and y coordinate at 6 m. The second atom has a mass of 82.55 kg, with x coordinate at 1 m and y coordinate at 6 m. The third atom has a mass of 8 kg, with x coordinate at 5 m and y coordinate at 9 m. What is the moment of inertia in unit of kg m2 with respect to the x axis?

3. The rotational-vibrational energy of the molecule DCI are E0.0-0J( Joules), o.1=2.14 x10" J, E02 = 6.42 x102 J, E10=7.15 x102" J, EL1=7.36 x10" J, E2-7.78 x10 J. from these data ( a) draw the rotational-vibrational energy levels(b) find the bond length (c) find the vibration&l frequency Vo?

A star originates as a large body of slowly rotating gas. Because of gravitational attraction, this large body of gas slowly decreases in size. You can assume that no external forces are acting. Which one of the following statements correctly describes what happens as the radius of the body of gas decreases? O The angular momentum remains constant and the angular velocity increases. O The angular momentum increases and the angular velocity decreases. Both the moment of inertia and the angular velocity increase. Both the angular momentum and the angular velocity increase. Both the angular momentum and the angular velocity decrease.

A composite beam is made of two brass [E = 107 GPa] plates bonded to an aluminum [E = 73 GPa] bar, as shown. Find the moment of inertia about the z axis of the equivalent all-aluminum beam. Z Brass Aluminum Brass y 50 mm O763600 mm4 O501500 mm 4 O 711000 mm 4 842100 mm4 10 mm 30 mm 10 mm

Chapter 10, Problem 069 In the figure, a small disk of radius r=4.00 cm has been glued to the edge of a larger disk of radius R=7.00 cm so that the disks lie in the same plane. The disks can be rotated around a perpendicular axis through point O at the center of the larger disk. The disks both have a uniform density (mass per unit volume) of 1.40 x 103 kg/m3 and a uniform thickness of 6.00 mm. What is the rotational inertia of the two-disk assembly about the rotation axis through O? Number Units the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work

In the methane molecule, CH4, each hydrogen atom is at the corner of a regular tetrahedron with the carbon atom at the center. If one of the C-H is in the direction of A=I hut + J hut + K hut and an adjacent C-H bond is at the direction B=I hut - J hut - K hut results to an angular bond of approximately 109o for a static frozen molecule.  However, the molecule we can encounter everyday continuously vibrates and interact with the surrounding causing its bond vector to vary slightly. According to a new spectroscopy analysis, the adjacent bond vectors was found to be A = 0.93i + 0.91j + 1.09k B = 1.02i + -0.99j + -1.08k What is the angle (in degrees) between the bonds based on this new data?

A thin rod of length L = 2.00 m has a variable mass density given by: A(x) = (16x² + 3) and lies on the x-axis with one end at the origin. Determine the total mass M of the rod. (note this is a variable mass density} O 21.5 kg 0 18.3 kg 048.7 kg O 16.0 kg 0 32.3 kg MacBook Air 8. D command command

a. 2. An oxygen gas molecule (O,) has a moment of inertia of 1.9 x 10 46 kg · m2 about an axis that is perpendicular and midway between the two oxygen atoms. If the total mass of the molecule is 5.3 x 10-26 kg, what is the approximate distance between the two oxygen atoms?

In (Figure 1), take m = 3.2 kg and mp = 4.6 kg. Figure 5 m 4 m 8 m/s 3 5 4 m 1.5 m MAA 0 1 2 m ↓ 4 m m MB B 30⁰