a cart is initially moving at 0.5 m/s along a track. The cart comes to rest after traveling I m. The experiment is repeated on t
he same track, but now the cart is initially moving at I m/s. How far does the cart travel before coming to rest?
2 answers:
Answer:
4m
Explanation:
Using the kinematic equation;
For the first stage when the car is initially moving at 0.5m/s
definitely u = 0.5 m/s and v = 0
The cart comes to rest after traveling I m, ∴ (s) = 1m
the acceleration of the car can be expressed by applying the kinematic equation:
making "a" the subject of the formula; we have:
a = 0.125 m/s²
The experiment is repeated on the same track, but now the cart is initially moving at I m/s
i.e v = 1 m/s and u=0
S = 4 m
∴ the cart traveled 4m before coming to rest.
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:
From which we find
Now all the resistors are in series, so the equivalent resistance of the circuit is the sum of all the resistances:
So, the correct answer is D)
2) Let's start by calculating the equivalent resistance of the two resistors in parallel:
From which we find
And these are connected in series with a resistor of
, so the equivalent resistance of the circuit is
And by using Ohm's law we find the current in the circuit:
So, the correct answer is C).
3) Let' start by calculating the equivalent resistance of the two resistors in parallel:
From which we find
Then these are in series with all the other resistors, so the equivalent resistance of the circuit is
And by using Ohm's law we find the current flowing in the circuit:
And so the voltage read by the voltmeter V1 is the voltage drop across the resistor 2-3:
So, the correct answer is D).
4) Again, let's start by calculating the equivalent resistance of the two resistors in parallel:
From which we find
Now all the resistors are in series, so the equivalent resistance of the circuit is:
The current in the circuit is given by Ohm's law
Now we can compare the voltage drops across the resistors. Resistor 1:
Resistor 2 and resistor 3 are in parallel, so they have the same voltage drop:
Resistor 4:
So, the greatest voltage drop is on resistor 1, so the correct answer is D).
5) the figure shows a circuit with a resistor R and a capacitor C, so it is an example of RC circuit. Therefore, the correct answer is D).
6) The circuit is the same as part 4), so the calculations are exactly the same. Therefore, the power dissipated on resistor 3 is
So, correct answer is B).
7) The circuit is the same as part 4), so we can use exactly the same calculation, and we immediately see that the resistor with lowest voltage drop was R4 (2.50 V), so the correct answer is B) R4.
From which we find
Now all the resistors are in series, so the equivalent resistance of the circuit is the sum of all the resistances:
So, the correct answer is D)
2) Let's start by calculating the equivalent resistance of the two resistors in parallel:
From which we find
And these are connected in series with a resistor of
And by using Ohm's law we find the current in the circuit:
So, the correct answer is C).
3) Let' start by calculating the equivalent resistance of the two resistors in parallel:
From which we find
Then these are in series with all the other resistors, so the equivalent resistance of the circuit is
And by using Ohm's law we find the current flowing in the circuit:
And so the voltage read by the voltmeter V1 is the voltage drop across the resistor 2-3:
So, the correct answer is D).
4) Again, let's start by calculating the equivalent resistance of the two resistors in parallel:
From which we find
Now all the resistors are in series, so the equivalent resistance of the circuit is:
The current in the circuit is given by Ohm's law
Now we can compare the voltage drops across the resistors. Resistor 1:
Resistor 2 and resistor 3 are in parallel, so they have the same voltage drop:
Resistor 4:
So, the greatest voltage drop is on resistor 1, so the correct answer is D).
5) the figure shows a circuit with a resistor R and a capacitor C, so it is an example of RC circuit. Therefore, the correct answer is D).
6) The circuit is the same as part 4), so the calculations are exactly the same. Therefore, the power dissipated on resistor 3 is
So, correct answer is B).
7) The circuit is the same as part 4), so we can use exactly the same calculation, and we immediately see that the resistor with lowest voltage drop was R4 (2.50 V), so the correct answer is B) R4.
Answer: e. on the equator and in the Atlantic Ocean
Explanation:
Latitude and Longitude are geographical coordinates.
<u>Latitude</u> is the angular distance between the <u>equatorial line</u>, and a specific point on the Earth. It is measured in degrees and is represented according to the hemisphere in which the point is located, which can be north or south latitude.
In this sense latitude refers to the equatorial line that divides the Earth in two hemispheres (North and South).
On the other hand, <u>Longitude</u> represents the specific <u>east–west </u>position of a point on the Earth's surface, being longitude the prime meridian or Greenwich meridian.
So, if we have latitude and longitude
(positive means it is to the East) we can already know the point is in the equator, and the option that bests describes the coordinates is e.