Answer: 33.5 x 10⁻⁶ C
Explanation:
By definition, the capacitance is the relationship between the charge on one of the plates (assuming it's a capacitor) and the voltage between them:
C = Q / V
Now, it can be showed that we can find the capacitance of a parallel-plate capacitor, taking into account the geometry and the dielectric material only, as follows:
C = ε A /d = ε₀ εr A / d
If the dielectric is air, we can assume εr = 1
If the space between plates is filled with a dielectric of dielectric constant 7.74, the new value for capacitance (regarding the former value) must be 7.74 times larger, as A and d didn't change.
So, in order to produce the same potential difference between the plates, we need to increase the charge, exactly 7.7 times:
Q = 7.7. 4.33 . 10⁻⁶ C = 33.5 . 10⁻⁶ C
Answer:
D
Explanation:
When the spring is wound, then it gathers potential energy in the form of tension energy. As it slowly unwinds, the potential energy is converted to kinetic energy of the hands' movements of the clock. This energy is channeled through the use of cogs/gears in the clock.
Answer:
T1 = 417.48N
T2 = 361.54N
T3 = 208.74N
Explanation:
Using the sin rule to fine the tension in the strings;
Given
amass = 42.6kg
Weight = 42.6 * 9.8 = 417.48N
The third angle will be 180-(60+30)= 90 degrees
Using the sine rule
W/Sin 90 = T3/sin 30 = T2/sin 60
Get T3;
W/Sin 90 = T3/sin 30
417.48/1 = T3/sin30
T3 = 417.48sin30
T3 = 417.48(0.5)
T3 = 208.74N
Also;
W/sin90 = T2/sin 60
417.48/1 = T2/sin60
T2 = 417.48sin60
T2 = 417.48(0.8660)
T2 = 361.54N
The Tension T1 = Weight of the object = 417.48N
Answer:
Force required to accelerate = 794.44 N
Explanation:
Force required = Mass of horse x Acceleration of horse
Mass of horse and rider, m= 572 kg
Acceleration of horse and rider, a = 5 kph per second
Force required = ma
= 572 x 1.39 = 794.44 N
Force required to accelerate = 794.44 N
Answer:
Because they would naturally dye the test strips in the colors violet and red, regardless of their pH values
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