How do you calculate and compare the gravitational and electrical forces between an electron and a proton separated by 10 to the negative 10 m.
Is the answer:
m x a = (4p2r/t2)= 10 - 30 x 4 x1021= 4x10
Is the answer F subscript elec F subscript grav = (8.22 x 10 subscript -8) (3.63 x 10 subscript -47) = 2.26 x 10 subscript 39
To calculate the gravitational and electrical forces between an electron and a proton, you need to use the formulas for each force and then compare them.
Gravitational force is given by the formula: Fg = G * (m1 * m2) / r^2
where Fg is the gravitational force, G is the gravitational constant (6.67430 × 10^-11 m^3 kg^-1 s^-2), m1 and m2 are the masses of the two particles, and r is the separation distance.
Electrical force is given by the formula: Fe = k * (q1 * q2) / r^2
where Fe is the electrical force, k is the Coulomb's constant (8.98755 × 10^9 N m^2 C^-2), q1 and q2 are the charges of the two particles, and r is the separation distance.
In this case, an electron has a charge of -1.6 × 10^-19 C (Coulomb) and a proton has a charge of +1.6 × 10^-19 C. The masses of both particles are approximately equal to 9.11 × 10^-31 kg.
Plugging these values into the formulas, we can calculate the forces:
Gravitational force (Fg) = (6.67430 × 10^-11) * ((9.11 × 10^-31) * (9.11 × 10^-31)) / (10^-10)^2
Electrical force (Fe) = (8.98755 × 10^9) * ((-1.6 × 10^-19) * (1.6 × 10^-19)) / (10^-10)^2
After calculating these forces, you can compare them to see which one is larger.