Explanation:
The electric field of an isolated charged parallel-plate capacitor is given by :
........(1)
Where
q is the electric charge
A is the area of cross section of parallel plate
It is clear from equation (1) that the electric field of a parallel plate capacitor is directly proportional to the charge on the plate and inversely proportional to the area of cross section of a plate.
So, the correct option is (E) i.e. "none of the above".
The equation of motion of a pendulum is:
where it its length and
is the gravitational acceleration. Notice that the mass is absent from the equation! This is quite hard to solve, but for <em>small</em> angles (
), we can use:
Additionally, let us define:
We can now write:
The solution to this differential equation is:
where and
are constants to be determined using the initial conditions. Notice that they will not have any influence on the period, since it is given simply by:
This justifies that the period depends only on the pendulum's length.
<u>Answer:</u> The kinetic energy of Natasha as she swim is 38.88 J
<u>Explanation:</u>
Force is defined as the mass multiplied by the acceleration of the object.
Mathematically,
where,
F = weight of Natasha = 530 N
m = mass of Natasha = ?
a = acceleration due to gravity =
Putting values in above equation, we get:
Speed is defined as the rate at which an object moves with respect to time. To calculate the speed, we use the equation:
where,
d = distance traveled = 72 m
t = time taken by Natasha = 1.0 min = 60 sec (Conversion factor: 1 min = 60 s)
Putting values in above equation, we get:
Kinetic energy is defined as the energy which is possessed due to its motion. It is also defined as the half of the product of mass of the object and square of the velocity of the object.
Mathematically,
where,
= kinetic energy of Natasha
m = mass of the Natasha = 54 kg
v = velocity of Natasha = 1.2 m/s
Putting values in above equation, we get:
Hence, the kinetic energy of Natasha as she swim is 38.88 J