Question
Use the information and model to answer the following question. A student develops a model showing two protons that are one meter apart. If they are separated so they are two meters apart, how will the magnitudes of the electrical force and gravitational force between the protons be affected? A The electric force will increase to four times Its original strength while the gravitational force will be reduced to one-fourth of its original strength. B Both forces will be reduced to one-fourth their original strengths. C Both forces will increase to four times their original strengths. D The electric force will be reduced to one-fourth of its original strength while the gravitational force will increase to four times its original strength.
Answer
4.7
(286 Votes)
Albie
Veteran · Tutor for 9 years
Answer
B
Explanation
When calculating the electrical force between two charges, we use Coulomb's Law F = kQ1Q2/r^2, where Q1 and Q2 are the charges, r is the distance between the charges, and k is the electrostatic constant. When increasing the distance between the two forces, we can see that if the distance doubles (from 1 meter to 2 meters), the electrical force does decrease but it diminishes according to the distance square ratio i.e., it becomes 1/4th of the original. This implies that charge force declines fast with distance, indicating how Principal of superpositions works: nearby charges have larger impacts than further away charges. In microphysics, the forces accomplishing between fundamental particles are aways far more stronger in magnitude than the forces due to gravity. The force of gravity between two prostate can also be calculated via Newton's law of universal gravitation F = Gm1m2/r^2, where m1 and m2 are the two masses involved, r is the distance, and G is the gravitational constant. Similar to the electrical force, if the separation distance doubles, gravitational force also becomes that square ratio i.e, 1/4th times the original