If your body develops a charge of -19 (microcoulombs), how many excess electrons has it acquired? What is their collective mass?
Please explain how to do this
To determine the number of excess electrons acquired by the body and their collective mass, we can use the charge-to-mass ratio of an electron.
The charge of an electron is represented by e and is approximately -1.602 x 10^-19 coulombs. This value represents the charge of a single electron.
To find the number of excess electrons, divide the given charge (-19 microcoulombs) by the charge of a single electron:
Number of excess electrons = -19 microcoulombs / (-1.602 x 10^-19 coulombs)
To simplify the calculation, we need to convert microcoulombs to coulombs. Since 1 microcoulomb equals 1 x 10^-6 coulombs, we have:
Number of excess electrons = (-19 microcoulombs) / (-1.602 x 10^-19 coulombs x 10^-6)
Now we can calculate the number of excess electrons:
Number of excess electrons = 1.186 x 10^13
Therefore, the body has acquired approximately 1.186 x 10^13 excess electrons.
To determine the collective mass of these electrons, we need to know the mass of a single electron. The mass of an electron (me) is approximately 9.10938356 x 10^-31 kilograms.
The collective mass of the excess electrons can be calculated by multiplying the mass of a single electron by the total number of excess electrons:
Collective mass of excess electrons = (1.186 x 10^13) x (9.10938356 x 10^-31 kilograms)
Calculating this expression gives us the collective mass of the excess electrons.
Note: The number of electrons acquired by the body may not necessarily correspond to their collective mass. Since the mass of an electron is incredibly small compared to macroscopic objects, this collective mass may not have a significant impact on the overall mass of the body.