Is it a good idea to use 'The Big Bang Theory' clips to teach physics?

When The Big Bang Theory (TBBT) aired for several years on prime time network television, it was a like a breath of fresh air for me. The show had scientists and engineers as major characters. It also had several physics related plot devices and dialogues. Several female characters on this show were smart, successful scientists. One actress playing a major role was a neuroscientist in real life! So it would seem that the clips of TBBT would be ideal science teaching devices. 

But TBBT had a major flaw in the way it portrayed Sheldon, the character who seemed to exhibit behaviors consistent with Asperger Syndrome. In several episodes, Sheldon is repeatedly shown to be inviting mockery and exasperation from all around him.

Margaret Weitekamp in Physics Today (January 2017, page 40) writes on how BBT reinforces and also plays against stereotypes.

Leaving this problem aside, what of the physics itself seen on the show? Or how accurate is TBBT Physics? Don Lincoln at LiveScience discusses several plotlines of the show that do not ring true from the perspective of a FermiLab physicist. His quibbles have to do with the theory of "Super Asymmetry" as introduced in the show in addition to portraying the scientific endeavors as a two-man set up as opposed to reality of hundreds of scientists collaborating together on projects such LHC.    

I am intrigued by the so called “low brow” Physics interspersed throughout TBBT. How do we use this tool in the classroom and how good is it?

My answer is:  use with caution. Here is an illustration as to how.

I have used the problem below in class along with the video to address a common misconception in kinematics: stopping distance depends on the mass of the moving object.

The problem statement:

While Penny is giving Sheldon a ride in her car, Sheldon complains about how fast she is driving and describes what would happen to them in the event of a crash.

Is Sheldon "wrong" to include Penny’s weight while calculating the stopping distance of her car?

Yes, stopping distance, in theory, depends only on the square of the velocity of the car and the deceleration supplied by the brakes. 

The magnitude of deceleration is simply a product of the coefficient of kinetic friction and acceleration due to gravity. 

So, for a given velocity, the deceleration provided by dry pavement is independent of the mass of the car and its riders.

BUT, in practice, the coefficient of friction is seen to vary with the weight with which the vehicle and driver push down on the road. 

So... coefficient of friction is not really a constant when we talk about HUGE moving masses such as semis and trucks. 

But for Sheldon and Penny, no, their mass is not a factor in stopping. That is the caveat, folks.