An astronaut in an orbiting space craft attaches a mass m to a string and whirls it around in uniform circular motion. the radius of the circle is r, the speed of the mass is v, and the tension in the string is f. if the mass, radius, and speed were all to double the tension required to maintain uniform circular motion would be

Explanation:

According to Newton's second law, the tension in the string is equal to the centripetal force, since the mass is under an uniform circular motion:

Here is the centripetal acceleration, which is defined as:

So, replacing:

In this case we have , and . Thus, the tension required to mantain uniform circular motion is:

i think it because equal matrices have equal dimensions, only square matrices can be symmetric. for all indices and . every square diagonal matrix is symmetric, since all off-diagonal elements are zero. in linear algebra, a real symmetric matrix represents a self-adjoint operator over a real inner product space.

answer

procedural programming, object-oriented programming

explanation

procedural programming is a type of computer programming language that specifies a series of well structured steps and procedures   within its development period of time. it contains a systematic order of statements, functions and commands to complete a computational task or program. it is centered on creating procedures. while object oriented programming is a programming language that is centered on creating objects rather that actions and data rather than logic.. it has four principles which are inheritance, polymorphism, abstraction and encapsulation