A hurricane becomes more powerful by evaporating water from oceans
Answer:
Explanation:
False --> A cylindrical capacitor is essentially a parallel plate capacitor rolled into a tube. This is because a cylindrical capacitor comprises two cylinders.
False --> The dielectric constant indicates the distance by which the two plates of a capacitor are separated.
True --> The charge on a capacitor increases quickly at first, then much more slowly as the capacitor charges. This is because the charge on the capacitor increases exponentially.
False --> The voltage across a capacitor in an RC circuit increases linearly during charging. This is because the voltage increases exponentially.
True --> One of the principal purposes of a capacitor is to store electric potential energy.
True --> A capacitor charges rapidly when connected to an RC circuit with a battery. This is because a cylindrical capacitor is basically a parallel plate capacitor rolled into a tube.
Answer:
0.339 kgm²
Explanation:
We know the period of this pendulum, T = 2π√(I/mgh) where I = moment of inertia of the object about the pivot axis, m = mass of object = 2.15 kg, g = acceleration due to gravity = 9.8 m/s² and h = distance of center of mass of object from pivot point = 0.163 m.
Since T = 2π√(I/mgh), making I subject of the formula, we have
I = mghT²/4π²
Now since it takes 241 s to complete 113 cycles, then it takes 241 s/113 cycles to complete one cycle.
So, T = 241 s/113 = 2.133 s
So, Substituting the values of the variables into I, we have
I = mghT²/4π²
I = 2.15 kg × 9.8 m/s² × 0.163 m × (2.133 s)²/4π²
I = 15.63/4π² kgm²
I = 0.396 kgm²
Now from the parallel axis theorem, I = I' + mh² where I' = moment of inertia of object with respect to its center of mass about an axis parallel to the pivot axis
I' = I - mh²
I' = 0.396 kgm² - 2.15 kg × (0.163 m)²
I' = 0.396 kgm² - 0.057 kgm²
I' = 0.339 kgm²
Slide tackle, goalkeeping, avoiding getting tackled, controlling the ball in the air, shooting from a hard angle etc
Answer:
0.3 N
Explanation:
mass of cork = 0.01 kg, density of cork = 250 kg/m^3
density of water = 1000 kg/m^3, g = 10 m/s^2
Tension in the rope = Buoyant force acting on the cork - Weight of the cork
Buoyant force = volume of cork x density of water x g
= mass x density of water x g / density of cork
= 0.01 x 1000 x 10 / 250 = 0.4 N
Weight of cork = mass of cork x g = 0.01 x 10 = 0.1 N
Thus, the tension in the rope = 0.4 - 0.1 = 0.3 N
