Answer:
400 N
Explanation:
Due to action-Reaction, the wall pushes back on the person with a force of equal magnitude and in opposite direction to the force exerted by the person.
So the magnitude must be also 400 N.
Answer:
1. independent- if you studied. dependent- test scores
2. independent- behavior of students. dependent-student grades
3. independent- what you eat. dependent- amount of gas
4. independent- which bait you use. dependent- how much fish you catch
5. independent-if you talk to the plants or not. dependent- growth
6. independent- whether you eat breakfast or not. dependent-student performance
7. independent- which animal you test. dependent- speed of the animals
8. independent- how much candy you eat. dependent- cavities or not
9. independent- if you eat no sugar or no carbs. dependent- how much weight you lose
10. independent- which thing you measure. dependent- the measurements
Answer:
t = 1.098*RC
Explanation:
In order to calculate the time that the capacitor takes to reach 2/3 of its maximum charge, you use the following formula for the charge of the capacitor:
(1)
Qmax: maximum charge capacity of the capacitor
t: time
R: resistor of the circuit
C: capacitance of the circuit
When the capacitor has 2/3 of its maximum charge, you have that
Q=(2/3)Qmax
You replace the previous expression for Q in the equation (1), and use properties of logarithms to solve for t:
![Q=\frac{2}{3}Q_{max}=Q_{max}[1-e^{-\frac{t}{RC}}]\\\\\frac{2}{3}=1-e^{-\frac{t}{RC}}\\\\e^{-\frac{t}{RC}}=\frac{1}{3}\\\\-\frac{t}{RC}=ln(\frac{1}{3})\\\\t=-RCln(\frac{1}{3})=1.098RC](https://tex.z-dn.net/?f=Q%3D%5Cfrac%7B2%7D%7B3%7DQ_%7Bmax%7D%3DQ_%7Bmax%7D%5B1-e%5E%7B-%5Cfrac%7Bt%7D%7BRC%7D%7D%5D%5C%5C%5C%5C%5Cfrac%7B2%7D%7B3%7D%3D1-e%5E%7B-%5Cfrac%7Bt%7D%7BRC%7D%7D%5C%5C%5C%5Ce%5E%7B-%5Cfrac%7Bt%7D%7BRC%7D%7D%3D%5Cfrac%7B1%7D%7B3%7D%5C%5C%5C%5C-%5Cfrac%7Bt%7D%7BRC%7D%3Dln%28%5Cfrac%7B1%7D%7B3%7D%29%5C%5C%5C%5Ct%3D-RCln%28%5Cfrac%7B1%7D%7B3%7D%29%3D1.098RC)
The charge in the capacitor reaches 2/3 of its maximum charge in a time equal to 1.098RC
Answer:
a) 
b) 
Explanation:
Get the reactive powers for each of the loads:
Reactive power = Real Power * tanθ
For load 1
Active power, P₁ = 100 W
Power factor, 


For load 2
Active power, P₂ = 250 W
Power factor, 


For load 3
Active power, P₃ = 250 W
Power factor, 


Calculate the total reactive power, 

Calculate the total active power, 



V = 115 

b) Power factor of the composite load is 

Since the orange rolls off the table and is (falling) its potential energy turnes into kinetic energy.
Hope this helped
:D