Question

1. Consider the diatomic nitrogen molecule N2, which is rotating in the xy plane about the...

1. Consider the diatomic nitrogen molecule N2, which is rotating in the xy plane about the z axis passing through its center, perpendicular to its length. The mass of each nitrogen atom is about m= 2.40×10-26 kg, and at room temperature, the separation between the two-nitrogen atom is d = 1.32×10-10 m. A typical speed of a molecule is 4.60×1012 rad/s. If the nitrogen molecule is rotating with this angular speed about the z axis, what is its rotational kinetic energy? Show your calculation in detail. (Ans: K=2.21x10-22 J)

2. A puck on a frictionless air hockey table has a mass of 5.0×10-3 kg and is attached to a cord passing through a hole in the surface as in the figure shown. The puck is revolving at a distance 2.0 m from the hole with an angular velocity of 3.0 rad/s. The cord is then pulled from below, shortening the radius to 1.0 m. What is the new angular velocity? Show your calculation in detail. (Ans: 12 rad/s)

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