To solve the problem it is necessary to apply the equations related to the conservation of both <em>kinetic of rolling objects</em> and potential energy and the moment of inertia.
The net height from the point where it begins to roll with an inclination of 30 degrees would be
In the case of Inertia would be given by
In general, given an object of mass m, an effective radius k can be defined for an axis through its center of mass, with such a value that its moment of inertia is
Replacing in Energy conservation Equation we have that
Potential Energy = Kinetic Energy of Rolling Object
Therefore the correct answer is C.
Answer:
as an object gains speed it gains kinetic energy
Explanation:
i am mixed with the very first one i dont really know if its right so if its wrong my bad
They would weight 69N on the moon's surface.
Answer:
Part(a): The capacitance per unit length of the capacitor is 
.
Part(b): The charge in the inner shell is 
and the charge of the outer shell is 
.
Explanation:
Part(a):
The capacitance (
) per unit length of a cylindrical capacitor is given by
where '
' is the permittivity of free space, '
' is the radius of the outer shell and '
' is the radius of the inner shell.
Given, 
and 
. We know, 
. Substituting the values in the above equation,
Part(b):
As the voltage on the inner conductor is higher than that of the outer conductor, positive charge resides on the inner shell and negative charge resides on the outer shell.
The charge '
' of a capacitor of length '
' having capacitance '' and potential difference '
' is given by
Given, 
and 
. Substituting these values in the above expression
The charge in the inner shell is and the charge of the outer shell is .
