As you saw in the first part of this homework, at the microscopic level heat conduction is a chain of collisions by particles of different kinetic energies. suppose a heat interaction occurs between a hot object of 80 °c and a cool object of 10 °c, and the primary energy transfer mechanism is heat conduction. if the interaction continues long enough, how will the average kinetic energy of the particles in the (initially) hot object compare to the average kinetic energy of the particles in the (initially) cool object?

Afther long time, the average energies of the particles of both objects will be the same

Explanation: The temperature of an object is related to the kinetic energy of the particles that form it.

This means that the hot object has particles with more kinetic energy than the cool object.

Now, if we let them interact ( the interaction here is the conduction) the hot object will transfer thermal energy to the other object, in this way reducing its own particle's kinetic energy and increasing the kinetic energy in the other (cooler) object.

As time passes, the system will reach the equilibrium, this means that both objects will have the same temperature. At this point, the average kinetic energies of the particles in both objects will be the same (because the temperatures are equal)

pecialized keyboards

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .