<span>Correlations allow you to make inferences.</span>
Answer:
(1) 42.94 m
(2) 
Explanation:
Let us first draw a figure, for the given question as below:
In the figure, we assume that the person starts walking from point A to travel 11 m exactly
south of west to point B and from there, it walks 21 m exactly
west of north to reach point C.
Let us first write the two displacements in the vector form:

Now, the vector sum of both these vectors will give us displacement vector from point A to point C.

Part (1):
the magnitude of the shortest displacement from the starting point A to point the final position C is given by:

Part (2):
As the vector AC is coordinates lie in the third quadrant of the cartesian vector plane whose angle with the west will be positive in the north direction.
The angle of the shortest line connecting the starting point and the final position measured north of west is given by:

Answer:
The induced emf in the coil at the t = 5s is 6.363 mV
Explanation:
Given;
number of turns = 75
diameter of the coil = 6 cm
magnetic field strength = 1 T
new magnetic field strength = 1.30 T at t = 10.0 s


Between 0 to 5 s, Induced emf is given as;

Between 5 to 10 s, Induced emf is given as;

Since the field increased at a uniform rate until it reaches 1.30 T at t = 10.0 s, the induced emf will also increase in uniform rate. And equal time interval will generate same increase in field strength.
B₅ -1 = 1.3 - B₅
2B₅ = 2.3
B₅ = 1.15 T
Thus, magnetic field at t = 5 is 1.15 T

Therefore, the induced emf in the coil at the t = 5s is 6.363 mV
Answer:
A statement of the form “If A, then B” asserts that if A is true, then B must be true also. If the statement “If A, then B” is true, you can regard it as a promise that whenever the A is true, then B is true also.
I HOPE IT'S HELP.......
Answer:
The internal resistance of the battery is 1.0 Ω.
Explanation:
Given that,
Voltage = 12,0 V
Resistance of each resistor = 6.0 Ω
Current = 4.0 A
When three resistors are connected in parallel.
We need to calculate the resistance
Using formula of parallel

Here, R₁ = R₂ = R₃



The equivalent resistance is


We need to calculate the internal resistance
Using ohm's law



Where, R = resistance
r = internal resistance
V = voltage
I = current
Put the value into the formula



Hence, The internal resistance of the battery is 1.0 Ω.