The gravitational force law, deduced by Newton in the 1660\'s, is remarkably sim
ID: 2000952 • Letter: T
Question
The gravitational force law, deduced by Newton in the 1660's, is remarkably similar to Coulomb's law. Recall that the universal law of gravitation states that the magnitude of the gravitational force between two masses M1 and M2 separated by a distance R is given by the following equation:
F = G (M1 x M2) / R2
G = 6.67 x 10-11 Nm2/kg2
a. Calculate the value of the gravitational force between an electron (mass = 9.11 x 10-31 kg) and a proton (mass is 1836 times greater than the mass of an electron) if the two particles are separated by 3.602 nanometers. (1 nanometer or 1 nm = 1 x 10-9 m)
F= ______ N
b. The force created in the above question is:
1. repulsive
2. attractive
Explanation / Answer
the force is calculated as follows:
F = G (M1 x M2) / R2
= [6.67x10-11][M1][1836M1] / [3.602X10-9]2
= [6.67x10-11][1836][9.11 x 10-31]2/ [3.602X10-9]2
= 7.83e-51 N
Since the unlike charges attract each other or the gravitational force is attractive, so the force is attractive.
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