Write down the equation for the gravitational force between two point-masses m1
ID: 1276841 • Letter: W
Question
Write down the equation for the gravitational force between two point-masses m1 and m2. Next write down the equation for the electrical force between two point-charges q1 and q2. How are the gravitational and electrical forces the same? How are they different? Is the force between two like charges attractive or repulsive? How about the force between two like masses? How can you tell from the equations? Calculate both the electrical and gravitational forces between the electron and proton in a Hydrogen atom. The masses and charges of the electron and proton are me = 9.1 times 10-31 kg, mp = 1.7 times 10~27 kg, qe = - 1.6 times 10~19 C, and qp = +1.6 times 10-19 C, and their separation is r = 1.0 times 10-10 m. Which force, electrical or gravitational, is stronger? By how much? Based on your answers to the previous question, is it surprising that a thrown baseball is primarily controlled by gravity, while the electrical force has no noticeable effect on the flight path? What must be true for this to be the case? What is the electrical charge of the Earth?Explanation / Answer
a)Fg=Gm1m2/r^2
Fe=kq1q2/r^2
b)They both vary inversely as a square of distance between the particles and linearly with the masses ans charges respectively.
Force between like charges is repulsive.
The force between masses (like or not) is always attractive.
Since masses are always positive, the force between masses always has the same sign. Since, charges have signs, forces between them depend on the signs.
c)Fg=6.67*10^-11*9.1*10^-31*1.7*10^-27/(10^-10)^2=1.032*10^-47N
Fe=ke^2/r^2=9*10^9*(1.6*10^-19)^2/(10^-10)^2=2.3*10^-8N
The electric force is very much stronger,
It is 2.23*10^39 times stronger
d)No it is not because the earth has no net charge. Nor is the average baseball whereas the considerable mass of the earth effects a much bigger gravitational force.
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