Find the force (in N) of electrical attraction between a proton and an electron that are 8.5 ✕ 10−11 m apart.
To find the force of electrical attraction between a proton and an electron, we can use Coulomb's law formula:
F = k * (|q1 * q2|) / r^2
where:
F = force of electrical attraction
k = Coulomb constant (8.99 x 10^9 Nm^2/C^2)
q1 = charge of proton (1.6 x 10^-19 C)
q2 = charge of electron (-1.6 x 10^-19 C)
r = distance between the charges (8.5 x 10^-11 m)
Plugging in the values:
F = (8.99 x 10^9 Nm^2/C^2) * (|1.6 x 10^-19 C * -1.6 x 10^-19 C|) / (8.5 x 10^-11 m)^2
F = (8.99 x 10^9) * (2.56 x 10^-37) / (7.225 x 10^-21)
F = 2.3 x 10^-28 N
Therefore, the force of electrical attraction between a proton and an electron that are 8.5 x 10^-11 m apart is approximately 2.3 x 10^-28 N.