Answer:
xtotal = 90km
displacement = 18km N
Explanation:
To determine how far the car has traveled in total, you start by calculating the distance it covers while going north. The formula used for this is:
(1)
x: distance
v: speed of the car = 30 m/s
t: time = half an hour
To compute the distance, you need to convert the time from hours into seconds:
Afterward, substitute the values of t and v into equation (1):
(2)
Next, calculate the distance covered by the car when traveling south:
You need to change the time from minutes to seconds:
In the end, combine both distances x and x':
The car has covered a total distance of 90km
As for total displacement, this represents the distance from the car's final position back to its starting point. It is found by subtracting x' from x:
The total displacement amounts to 18km towards the north from the car's original position.
Answer:
Explanation:
The four wires are arranged in series: this setup indicates that the same current passes through them, while the total voltage from the battery, V0, equals the combined voltages across each resistor:
Additionally, the total resistance for this series configuration is
Using Ohm's law, we can determine the voltage V2 across wire 2:
(1)
Here, I represents the entire current flowing through the circuit, which is calculated as:
By substituting into equation (1), we derive V2:
Response:
Clarification:
A converging mirror is generally termed a concave mirror. The focal length and the image distance for a concave mirror are both expressed as positive values.
Using the mirror formula to derive the object distance;
Where f denotes the focal length, u indicates the object distance, and v represents the image distance.
Given f = 30cm, and v = 2u (The formed image is double the size of the pencil)
Plugging these values into the formula to solve for u yields;
By cross-multiplying, we obtain;
2u = 90
Dividing both sides by 2;
2u/2 = 90/2
u = 45cm
The object's distance from the mirror measures 45cm