Respuesta :
Explanation:
The given data is as follows.
distance (r) = 1.67 m
[tex]q_{1} = q_{2}[/tex] = 1 C
It is known that formula for electric force between two charges is as follows.
F = [tex]\frac{kq_{1} \times q_{2}}{r^{2}}[/tex]
Hence, putting the given values into the above formula as follows.
[tex]\frac{9 \times 10^{9} \times 1 \times 1}{(1.67)^{2}}[/tex]
= [tex]3.227 \times 10^{9}[/tex]
As it is given that mass of Falcon Heavy rocket is 1421. Therefore, weight of 1 Falcon rocket is as follows.
weight of 1 falcon rocket = [tex]142 \times 10^{3} \times 9.8[/tex]
Therefore, number of falcon rockets will be calculated as follows.
No. of falcon rockets = [tex]\frac{3.227 \times 10^{9}}{142000 \times 9.8}[/tex]
= [tex]2.31897 \times 10^{3}[/tex]
= 2318.9 falcons
Thus, we can conclude that force between the two point charges above is equal to the weight of 2318.9 Falcon Heavy rockets.
The size of the electric force between the two charges is 3.23 x 10⁹ N.
The number of Falcon heavy rocket present in the given weight is 231.9.
The given parameters:
- Charge of each point charge, q = 1 C
- Distance between the two charges, r = 1.67 m
The size of the electric force between the two charges is calculated by applying Coulomb's law as follows;
[tex]F = \frac{kq^2}{r^2} \\\\F = \frac{(9\times 10^9) \times (1)^2}{(1.67)^2} \\\\F = 3.23 \times 10^9 \ N[/tex]
The number of Falcon heavy rocket present in the given weight is calculated as follows;
[tex]n(mg) = F\\\\n = \frac{F}{mg} \\\\n = \frac{3.23 \times 10^9}{1421 \times 1000 \times 9.8} \\\\n = 231.9 \[/tex]
Learn more about Coulomb's law here: https://brainly.com/question/24743340
