Answer:
The answer is below
Explanation:
Charles law states that the volume and temperature of a fixed amount of a gas is directly proportional to each other provided that pressure is held constant.
Boyle's law states that the volume and pressure of a fixed amount of a gas are inversely proportional to each other provided that temperature is held constant.
a) Constant property:
In Charles law, pressure is kept constant while in Boyle's law, temperature is held constant.
b) Varying properties:
In Charles law, volume and temperature are varying while in Boyle's law, pressure and volume are varying.
c) Type of variance:
In Charles law we have a direct variance while in Boyle's law we have an indirect variance.
d) Charles law is given as:

Boyle's law is given as:
Answer:
At centroid
Explanation:
In the given equilateral triangle ABC with side of 1 m. The three equal charges e,e,e are placed at the A,B and C.
And the fourth charge 2e is put at point O which is called centroid.
Now we can calculate the distance AD by applying pythagorean theorem as,

Put the values and get.

Now calculate AO as,

And the sides BO=CO=AO.
Now Force can be calculated as

And similarly,

Now we can calculate resultant of
in upward direction. as,

Therefore the resultant force on centroid O.

Therefore the fourth charge 2e should be placed on centroid so that it experience zero force.
Answer:
Part a)
V = 15 Volts
Part b)
P = 180 Watt
Part c)
Rate = 720 Watt
Explanation:
Part a)
When battery is in charging then the potential difference of the terminals of cell is given by

here we know that
EMF = 12 volts
i = 60 A
r = 0.050 ohm
now we have

Part b)
Rate of thermal energy dissipated is the energy which is dissipating across the resistor
so here we have


P = 180 Watt
Part c)
Rate at which Energy stored inside the cell is the rate of electrical energy that is converted into the chemical energy



Answer: 0.47 rad/sec
Explanation:
By definition, the angular velocity is the rate of change of the angle traveled with time, so we can state the following:
ω = ∆θ/ ∆t
Now, we are told that in 13.3 sec, the ball completes one revolution around the circle, which means that, by definition of angle, it has rotated 2 π rad (an arc of 2πr over the radius r), so we can find ω as follows:
ω = 2 π / 13.3 rad/sec = 0.47 rad/sec