Answer:
Magnitude = 4.056 m
Direction = 42.3⁰
Explanation:
The vector is resolved in terms of the vertical and horizontal components. Let's look each of these separately.
The vector 4.40 is directed East. This automatically becomes a horizontal component.
But we know that there is a vector 3.40 North West. The angle the vector makes with the horizontal is 61⁰.
Resolving the vectors should yield the horizontal and vertical components:
Horizontal components
The first component is 4.40 m
The second one is derived by resolving 3.40 to the horizontal like this 3.40 × - cos 61⁰ = -1.648 m
Adding the horizontal component gives 4.40 m + ( -1.648 m) = 2.752 m
Vertical components
Resolve 3.40 with the angle 61⁰ like this: vertical comp = 3.41 × sin 61
= 2.98 m
The magnitude is given by √[(2.98)²+ (2.752)²] = 4.056 m Ans
The direction us given by tan⁻¹ (2.98/2.752) = 42.3⁰ Ans
a. Independent variable: <em>TIME
</em>
b. Dependent variable: <em>DISTANCE</em>
Just remember
Voltage = current times resistance
current = voltage over resistance
Current = 9/3 = 3
<span>3933 watts
At 100 C (boiling point of water), it's density is 0.9584 g/cm^3. The volume of water lost is pi * 12.5^2 * 10 = 4908.738521 cm^3
The mass of water boiled off is 4908.738521 * 0.9584 = 4704.534999 grams.
Rounding to 4 significant figures gives me 4705 grams of water.
The heat of vaporization for water is 2257 J/g. So the total energy applied is
2257 J/g * 4705 g = 10619185 J
Now we need to divide that by how many seconds we've spent boiling water. That would be 45 * 60 = 2700 seconds.
Finally, the rate of heat transfer in Joules per second will be the total number of joules divided by the total number of seconds. So
10619185 J / 2700 s = 3933 J/s = 3933 (kg m^2/s^2)/s = 3933 (kg m^2/s^3)
= 3933 watts</span>
You did not provide the options. However, the options are
I = 6.0, R= 4.0 ohms
I = 9.0, R= 2.0ohms
I = 3.0, R= 2.0ohms
I = 8.0, R= 8.0 ohms
Answer:
The order of the resistors from the highest to the lowest is:
I = 8.0, R= 8.0 ohms
I = 6.0, R= 4.0 ohms
I = 9.0, R= 2.0ohms
I = 3.0, R= 2.0 ohms
Explanation:
ohm's law states that voltage across a conductor is directly proportional to the current flowing through it. V = IR
Based on this formula, the voltages in each of the resistors are calculated below from the highest to the lowest
V = 8 * 8 =64 volts
V = 6 * 4 =24 volts
V = 9 * 2 =18 volts
V = 3 * 2 =6 volts
