An electron and a proton are held on an x axis, with the electron at x = + 1.000 m and the proton at x = - 1.000 m. How much wor
1 answer:
It is required an infinite work. The additional electron will never reach the origin.
In fact, assuming the additional electron is coming from the positive direction, as it approaches x=+1.00 m it will become closer and closer to the electron located at x=+1.00 m. However, the electrostatic force between the two electrons (which is repulsive) will become infinite when the second electron reaches x=+1.00 m, because the distance d between the two electrons is zero:
So, in order for the additional electron to cross this point, it is required an infinite amount of work, which is impossible.
In fact, assuming the additional electron is coming from the positive direction, as it approaches x=+1.00 m it will become closer and closer to the electron located at x=+1.00 m. However, the electrostatic force between the two electrons (which is repulsive) will become infinite when the second electron reaches x=+1.00 m, because the distance d between the two electrons is zero:
So, in order for the additional electron to cross this point, it is required an infinite amount of work, which is impossible.
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Answer:
0.273 liters are needed to accomplish this task without boiling.
Explanation:
The minimum boiling point of kerosene is . According to this question, we need to determine the minimum volume of liquid such that heat received is entirely sensible, that is, with no phase change.
If we consider a steady state process and that energy interactions with surrounding are negligible, then we get the following formula by the Principle of Energy Conservation:
(1)
Where:
- Density of kerosene, measured in kilograms per cubic meter.
- Volume of kerosene, measured in cubic meters.
,
- Specific heats of the kerosene and tin, measured in joule per kilogram-Celsius.
,
- Initial temperatures of kerosene and tin, measured in degrees Celsius.
- Final temperatures of the kerosene-tin system, measured in degrees Celsius.
Please notice that the block of tin is cooled at the expense of the temperature of the kerosene until thermal equilibrium is reached.
From (1), we clear the volume of kerosene:
If we know that ,
,
,
,
,
and
, then the volume of the liquid needed to accomplish this task without boiling is:
0.273 liters are needed to accomplish this task without boiling.
The launch velocity of the marble launcher is 34.65 m/s
Given that the launch velocity of marble launcher, launches a 25g marble to a distance of 73 cm (0.73 m) and the marble roll up to 6.2 meters before stopping. The launch height is 20 cm (0.2 m).
The time for landing can be calculated by the second equation of motion formula:
h = ut + g
Let u = 0
0.2 = 0×t + × 9.8 ×
=
= 0.04
t = 0.2s
Now, the launch velocity of the marble launcher can be calculated by:
Speed = Distance / Time
Speed =
Speed =
Speed = 34.65 m/s
Therefore, the launch velocity of the marble launcher is 34.65 m/s
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