Answer:
initially- with positive potential differences - the current is directly proportional to the p.d. However, as the current through the filament increases, the heating effect caused in the lamp also increases and so the temperature of the filament rises. This increase in the filament's temperature also increases the resistance of the filament. As a result the rate of increase of the current decreases and a greater change in the potential difference is required to cause a change in the current. This can be seen on the curve as the gradient becomes more shallow (greater resistance). This same pattern is repeated when a negative potential difference is applied across the filament
The distance between Dustin and the planet is larger than the distance between Barb and the planet
Explanation:
The magnitude of the gravitational force between each astronaut and the planet is given by
where
:
is the gravitational constant
M is the mass of the planet
m is the mass of the astronaut
r is the separation between the astronaut and the planet
In this problem, we have:
- The force of gravity between Dustin and the planet is 120,265 N
- The force of gravity between Barb and the planet is 354,999 N
We see that the force exerted by the Planet on Barb is much greater than the force exerted by the planet on Dustin. Assuming that the mass of Dustin and Barb is similar, then we can say that the magnitude of the force of gravity depends mainly on the distance:

And since the force is inversely proportional to the square of the distance, this means that the distance between Dustin and the planet is larger than the distance between Barb and the planet.
Learn more about gravitational force:
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Answer:
The correct option is;
d) All of the above
Explanation:
a) In an electric circuit through which electric current flows, it is due to the electric charges which can be the negatively charged electrons or the positively charged protons
b) Voltage is the potential difference that results in current flowing through the circuit, therefore, the voltage is applied across the circuit through which current flows
c) The voltage which is the electric potential difference is the change in potential energy in joules of a given system due to the movement of a test charge (in Coulombs) between points in the electric field, ΔE, divided by the value of the test charge, 'q'
V = ΔE/q
Therefore, all of the above are correct.