Question

Part G 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 in terms of m, angular velocity, and r.

Part F

Using the formula for kinetic energy of a moving particle K=12mv2, find the kinetic energy Ka of particle a and the kinetic energy Kb of particle b. Remember that both particles rotate about the y axis.

Express your answers in terms of m, ?, and r separated by a comma.

Ka, Kb = 9mr2?22,mr2?21

Answer 1

The total kinetic energy of the system can be found by adding the kinetic energies of particle a and particle b. Using the formula for kinetic energy, K=1/2mv^2, we can substitute the given values to find the kinetic energies. To find the total kinetic energy, we add Ka and Kb: K = Ka + Kb.

Step-by-step explanation:

The total kinetic energy of the system can be found by adding the kinetic energies of particle a and particle b. Using the formula for kinetic energy, K=1/2mv^2, we can substitute the given values to find the kinetic energies:

Ka = (9m)(r^2)(ω^2/2)

Kb = (22m)(r^2)(ω^2/2)

To find the total kinetic energy, we add Ka and Kb:

K = Ka + Kb = (9m)(r^2)(ω^2/2) + (22m)(r^2)(ω^2/2) = (31m)(r^2)(ω^2/2)