Answer:
The impedance of the inductor is ω L:
This is in parallel wth R giving a resistance of the parallel combination:
1 / Rp = 1 / ω L + 1 / R
Rp = (ω L * R) / (ω L + R) for the impedance of the parallel combination
Total resistance (impedance) Rt = Rp + R2 = Z
One can use the term impedance to show that the resulting current is not in phase with the resulting voltage
phase angle φ - cos φ = ω L / Rt
V = I Z shows the relation of voltage and urrent

9. An object which is in circular motion (moving along a circle) is said to be accelerating because it changes it's direction constantly even if it is moving with a constant speed. cuz acceleration is change in either magnitude or direction of an object with respect to time.
therefore, it's still acceleration as change in direction with time.
10. Average speed of an object can be calculated by dividing the total distance covered by an object by time taken to cover that distance.
i.e
it can be re- arranged to find the distance as :
11. speed = 20 m/s : conversion into km/h
distance covered : 4 km = 4000 m
time taken = 200 seconds
12. let's use the first equation of motion to find the acceleration :
Complete Question
The complete question(reference (chegg)) is shown on the first uploaded image
Answer:
The magnitude of the resultant force is 
The direction of the resultant force is
from the horizontal plane
Explanation:
Generally when resolving force, if the force (F )is moving toward the angle then the resolve force will be
while if the force is moving away from the angle then the resolved force is 
Now from the diagram let resolve the forces to their horizontal component
So


Now resolving these force into their vertical component can be mathematically evaluated as


Now the resultant force is mathematically evaluated as

substituting values


The direction of the resultant force is evaluated as
![\theta = tan^{-1}[\frac{F_y}{F_x} ]](https://tex.z-dn.net/?f=%5Ctheta%20%20%3D%20%20tan%5E%7B-1%7D%5B%5Cfrac%7BF_y%7D%7BF_x%7D%20%5D)
substituting values
![\theta = tan^{-1}[\frac{ 14.3}{199.128} ]](https://tex.z-dn.net/?f=%5Ctheta%20%20%3D%20%20tan%5E%7B-1%7D%5B%5Cfrac%7B%2014.3%7D%7B199.128%7D%20%5D)
from the horizontal plane
Answer:
-0.64525g
Explanation:
t = Time taken for the car to stop
u = Initial velocity = 95 km/h
v = Final velocity = 0 km/h
s = Displacement
a = Acceleration
Equation of motion

Converting to m/s²

g = Acceleration due to gravity = 9.81 m/s²
Dividing both the accelerations, we get

Hence, acceleration of the car is -0.64525g