Answer:
Explanation:
For an electric force, F the formula:
F = kQq/r^2
Given:
r2 = 1/2 × r1
F1 × r1 = k
F1 × r1 = F2 × r2
F2 = (F1 × r1^2)/(0.5 × r1)^2
= (F1 × r1^2)/0.25r1^2
= 4 × F1.
Answer:
Time taken, t = 4.86 seconds
Explanation:
Given that,
Acceleration of a particular automobile, 
Initial speed of the automobile, u = 75 km/h = 20.83 m/s
Final speed of the automobile, v = 110 km/h = 30.55 m/s
We need to find the time taken to accelerate from u to v. Let t is the time taken. It can be calculate as :


t = 4.86 seconds
So, the time taken by the automobile is 4.86 seconds. Hence, this is the required solution.
Answer: Northwest.
Explanation:
After the collision the second object which was at rest would change its direction and move towards the Northwest. The object in motion was coming from the east and traveling towards the west, where it deflects against a stationery object which changes its direction to southeast. And the object which was at rest moves toward the northwest.
Answer:
The electrical energy needed is 8.415*10⁻³ N
Explanation:
Energy is the ability of a body to make changes or work.
By separating or joining two electric charges a distance (for example, a radius r) within their electric fields, you are taking away or giving the electric charges energetic potentials, relative to each other. By releasing these charges, they will attract or repel each other, releasing that acquired electrical energy.
In other words, electric potential energy is linked to the particular configuration of a conglomerate of point charges in a defined system.
That is, it calculates the capacity of an electrical system to carry out a task based exclusively on its position or configuration. So, it is a kind of energy stored in the system, or the amount of energy that it is capable of delivering.
Thus, a charge will exert a force on any other charge and the potential energy is the result of the set of charges.
The electric potential energy that has a point charge q in the presence of another point charge Q that are separated by a certain distance r is:

where:
- Ep is the electric potential energy. It is measured in Newton (N).
- Q1 and Q2 are the values of the two point charges. They are measured in Coulombs (C).
- r is the value of the distance that separates them. It is measured in meters (m).
- K is the constant of Coulomb's law. For vacuum its value is approximately 9*10⁹ N*m²/C²
In this case:
- Q1=5.5*10⁻⁷ C
- Q2=1.7*10⁻⁶ C
- r=1 m
Replacing:

Solving:
Ep= 8.415*10⁻³ N
<u><em>The electrical energy needed is 8.415*10⁻³ N</em></u>