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.