If the charge-to-mass ratio of a proton is 9.58 × 107 coulomb/kilogram and the charge is 1.60 × 10-19 coulomb, what is the mass of the proton?
9.58E7 = c/m
9.58E7*mass = charge
Substitute and solve for mass
To find the mass of the proton, we can use the charge-to-mass ratio and the known charge of the proton. The equation we can use is:
charge-to-mass ratio = charge / mass
Given that the charge-to-mass ratio of a proton is 9.58 × 10^7 C/kg and the charge of a proton is 1.60 × 10^-19 C, we can rearrange the equation to solve for the mass of the proton:
mass = charge / charge-to-mass ratio
Substituting the given values into the equation:
mass = (1.60 × 10^-19 C) / (9.58 × 10^7 C/kg)
Performing the calculations:
mass ≈ 1.67 × 10^-27 kg
Therefore, the mass of the proton is approximately 1.67 × 10^-27 kilograms.