If the charge to mass ratio of a proton is 9.58 x 10^7 coulomb/kilogram and the charge is 1.60 x10^-19 coulomb, what is the mass of the proton?
q/m = 9.58E7
q = 1.6E-19
1.6E-19/9.58E7 = ? kg mass proton.
1.67014614E-27
1.67014614E-27 kg
Why did the proton go on a diet? Because it wanted to shed some mass!
But let's get to the answer. To find the mass of the proton, we can use the charge to mass ratio.
Given:
Charge to mass ratio = 9.58 x 10^7 C/kg
Charge of the proton (q) = 1.60 x 10^-19 C
Let's rearrange the equation:
Charge to mass ratio (C/kg) = charge (C) / mass (kg)
Now, we can solve for mass:
Mass (kg) = charge (C) / charge to mass ratio (C/kg)
Plugging in the values:
Mass (kg) = (1.60 x 10^-19 C) / (9.58 x 10^7 C/kg)
Calculating this, we find:
Mass (kg) = 1.669 x 10^-27 kg
So, the mass of the proton is approximately 1.669 x 10^-27 kilograms. Keep in mind that it's quite a tiny particle!
To find the mass of the proton, we can use the given charge-to-mass ratio and the charge of the proton. The charge-to-mass ratio is given as 9.58 x 10^7 C/kg, and the charge of the proton is given as 1.60 x 10^-19 C.
The charge-to-mass ratio is defined as the charge (in coulombs) divided by the mass (in kilograms). So, we can set up the following equation:
(charge-to-mass ratio) = (charge of the proton) / (mass of the proton)
We can rearrange this equation to solve for the mass of the proton:
(mass of the proton) = (charge of the proton) / (charge-to-mass ratio)
Substituting the given values:
(mass of the proton) = (1.60 x 10^-19 C) / (9.58 x 10^7 C/kg)
Now we can calculate the mass of the proton:
(mass of the proton) = 1.67 x 10^-27 kg
Therefore, the mass of the proton is approximately 1.67 x 10^-27 kilograms.