Answer:
The total voltage of the circuit is 18 volts.
Explanation:
We have, three identical resistors of resistance 3 ohms are connected in series in a circuit.
For a series combination, the equivalent resistance is given by the sum of individual resistances i.e.

Let V is the voltage of the battery if the current in the circuit is 2 A. So,


So, the total voltage of the circuit is 18 volts.
Answer:
2C
Explanation:
The equivalent capacitance of a parallel combination of capacitors is the sum of their capacitance.
So, if the capacitance of each capacitor is half the previous one, we have a geometric series with first term = C and rate = 0.5.
Using the formula for the sum of the infinite terms of a geometric series, we have:
Sum = First term / (1 - rate)
Sum = C / (1 - 0.5)
Sum = C / 0.5 = 2C
So the equivalent capacitance of this parallel connection is 2C.
To solve this problem it is necessary to apply the concepts related to acceleration due to gravity, as well as Newton's second law that describes the weight based on its mass and the acceleration of the celestial body on which it depends.
In other words the acceleration can be described as

Where
G = Gravitational Universal Constant
M = Mass of Earth
r = Radius of Earth
This equation can be differentiated with respect to the radius of change, that is


At the same time since Newton's second law we know that:

Where,
m = mass
a =Acceleration
From the previous value given for acceleration we have to

Finally to find the change in weight it is necessary to differentiate the Force with respect to the acceleration, then:




But we know that the total weight (F_W) is equivalent to 600N, and that the change during each mile in kilometers is 1.6km or 1600m therefore:


Therefore there is a weight loss of 0.3N every kilometer.
It makes the data thet they collect more reliable so if they need the data again, they have already tested it a few times so therefor they know that it is right.
Answer:
gₓ = 23.1 m/s²
Explanation:
The weight of an object is on the surface of earth is given by the following formula:

where,
W = Weight of the object on surface of earth
m = mass of object
g = acceleration due to gravity on the surface of earth = strength of gravity on the surface of earth
Similarly, the weight of the object on Jupiter will be given as:

where,
Wₓ = Weight of the object on surface of Jupiter = 34.665 N
m = mass of object = 1.5 kg
gₓ = acceleration due to gravity on the surface of Jupiter = strength of gravity on the surface of Jupiter = ?
Therefore,


<u>gₓ = 23.1 m/s²</u>