Question

Now, using the results of Part F, find the total kinetic energy K of the system. Remember that both particles rotate about the y-axis. Express your answer as:

A) A Scalar
B) A Vector
C) A Complex Number
D) A Matrix

Answer 1

The total kinetic energy of a system with particles rotating about an axis is a scalar because energy does not have direction in space.

Step-by-step explanation:

The total kinetic energy K of the system when particles rotate about the y-axis is expressed as a scalar quantity. Although rotational kinetic energy is associated with the vector quantity angular momentum, the energy itself does not have a direction in space. The equation for rotational kinetic energy is given by K = ½Iω², where I is the moment of inertia and ω is the angular velocity. Therefore, the correct answer is A) A Scalar.