Calculating Magnitude of Forces Between Protons

In summary, the equation for calculating the magnitude of forces between protons is F = (k * q<sub>1</sub> * q<sub>2</sub>) / r<sup>2</sup>, where F is the force, k is the Coulomb's constant (9 x 10<sup>9</sup> N*m<sup>2</sup>/C<sup>2</sup>), q<sub>1</sub> and q<sub>2</sub> are the charges of the protons, and r is the distance between them. The magnitude of the forces between protons is directly proportional to the product of their charges and is inversely proportional to the square of the
  • #1
rayhan619
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Homework Statement



Two protons are 4.0 fm apart. ( 1 fm= 1 femtometer = 1*10^-15m)
a)What is the magnitude of the electric force on one proton due to the other proton?
b)What is the magnitude of the gravitational force on one proton due to the other proton?
c)What is the ratio of the electric force to the gravitational force?

Homework Equations



F = Kq1q2/r^2

The Attempt at a Solution



I figured out the 1st part. F = 14 N

but how do i start the 2nd part?
 
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  • #3


To calculate the magnitude of the gravitational force between two protons, we can use the equation F = Gm1m2/r^2, where G is the gravitational constant (6.67*10^-11 N*m^2/kg^2), m1 and m2 are the masses of the two protons (both are equal to the mass of a proton, which is approximately 1.67*10^-27 kg), and r is the distance between them (4.0 fm = 4.0*10^-15 m). Plugging these values into the equation, we get F = 2.4*10^-24 N.

To find the ratio of the electric force to the gravitational force, we can divide the magnitude of the electric force by the magnitude of the gravitational force. In this case, the ratio is 14/2.4*10^-24, which is approximately 5.8*10^24. This means that the electric force is much stronger than the gravitational force between the two protons. This is due to the fact that the electric force is directly proportional to the product of the charges (q1 and q2), while the gravitational force is directly proportional to the product of the masses (m1 and m2). Since the charges of the protons are much larger than their masses, the electric force is significantly stronger.
 

1. What is the equation for calculating the magnitude of forces between protons?

The equation for calculating the magnitude of forces between protons is F = (k * q1 * q2) / r2, where F is the force, k is the Coulomb's constant (9 x 109 N*m2/C2), q1 and q2 are the charges of the protons, and r is the distance between them.

2. How do the charges of the protons affect the magnitude of forces between them?

The magnitude of the forces between protons is directly proportional to the product of their charges. This means that the greater the charges of the protons, the stronger the force between them will be.

3. What happens to the magnitude of forces between protons as the distance between them increases?

The magnitude of forces between protons is inversely proportional to the square of the distance between them. This means that as the distance between protons increases, the force between them decreases. This relationship follows the inverse square law.

4. Can the magnitude of forces between protons be negative?

No, the magnitude of forces between protons is always positive. This is because like charges repel each other, so the force between protons is always in the opposite direction of the charges.

5. How can I use the magnitude of forces between protons to calculate the acceleration of a proton?

You can use Newton's second law, which states that force equals mass times acceleration (F = ma). By rearranging the equation for calculating force between protons, you can find the acceleration of a proton when given its mass and the magnitude of the force acting on it.

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