.6(9.81)(3)
=17.65
18 J
2 significant figures
Answer:
<em>The y component of his displacement is 11.22 meters</em>
Explanation:
<u>Components of the displacement</u>
The displacement is a vector because it has a magnitude and a direction. Let's suppose a displacement has a magnitude r and a direction θ, measured with respect to the positive x-direction. The horizontal component of the displacement is calculated by:
The vertical component is calculated by:
The hiker has a displacement with magnitude r = 20.51 m at an angle of 33.16 degrees. Substituting in the above equation:
The y component of his displacement is 11.22 meters
Answer:
Explanation:
The rms voltage = 140/√2 = 140/1.414 = 99 V.
Reactance of inductor = wL = 2 X 3.14 X 100 X 113 X 10⁻³ =70.96 ohm.
Total resistance in terms of vector = 50+70.96j
j is imaginary unit number
Magnitude of this resistance = √ 50² + 70.96² = 86.80 ohm
current in resistance (rms) ( I ) = 99/86.80 = 1.14 A.
Power dissipated in resistor = I² R = 1.14 X 1.14 X 50 = 65 W( approx)
Answer:
a) C. 7.5 V
b) A. 2.5 V
Explanation:
First, we find the total resistance of the circuit. A voltage divider circuit is a series circuit. Therefore, its total resistance will be the sum of individual resistances:
a)
Now, we will apply the voltage divider rule on this circuit to find the voltage across the 300 Ω Resistor (R₂):
V₂ = 7.5 V
Therefore, the correct option is:
<u>C. 7.5 V</u>
<u></u>
b)
Now, the voltage across the 100 Ω Resistor (R₁) will be:
Therefore,the correct option is:
<u>A. 2.5 V</u>