Answer:
The capacitance is 1.75 nF
Explanation:
From the question we are given that
The inner radius is
The outer radius is
Length of the capacitor is
The dielectric constant is
The dielectric constant is
Generally the capacitance of a capacitor can be mathematically represented as
Answer:
Force F = 69.35 N
Explanation:
given data
Ball Initial speed u = 0
Ball Final speed v = 42.1 m/s
average power generate = 2920 W
solution
Power generate is express as
P= ..............1
here W is work done and t is time
and work w = F × d
so
P=
and we know speed v =
so here
Power P = F × v
put here value and we get force
Force F =
Force F = 69.35 N
The general formula to calculate the work is:
where F is the force, d is the displacement of the couch, and is the angle between the direction of the force and the displacement. Let's apply this formula to the different parts of the problem.
(a) Work done by you: in this case, the force applied is parallel to the displacement of the couch, so and
, therefore the work is just equal to the product between the horizontal force you apply to push the couch and the distance the couch has been moved:
(b) work done by the frictional force: the frictional force has opposite direction to the displacement, therefore and
. Therefore, we must include a negative sign when we calculate the work done by the frictional force:
(c) The work done by gravity is zero. In fact, gravity (which points downwards) is perpendicular to the displacement of the couch (which is horizontal), therefore and
: this means
.
(d) Work done by the net force:
The net force is the difference between the horizontal force applied by you and the frictional force:
And the net force is in the same direction of the displacement, so and
and the work done is