When an object falls through air, there is a drag force that depends on the product of the cross sectional area of the object and the square of its velocity, that is, fair = cav2, where c is a constant. determine the dimensions of c. (use the following as necessary: m for mass, t for time, and l for length.)

Step-by-step explanation:

As given in question drag force depends upon the product of the cross sectional area of the object and the square of its velocity

and drag force can be given by

         (1)

It is given that

Dimension of mass = [M]

Dimension of length = [L]

Dimension of time = [T]

So, by using above dimension we can write

the dimension of force,

dimension of cross-section area,

and dimension of velocity

now, by putting these values in equation (1), we will get

Hence, the dimension of constant C will be,