Answer:

Explanation:
The position of the charge q₁ is established at (0,0)
Meanwhile, the charge q₂ is located at (x₁,0)
Thus, the electric potential energy between these two charges is determined by:

Now, the location of charge q₂ shifts from (x₁,0) to (x₂,y₂). The updated electric potential energy between the charges can be represented as:

According to the work-energy theorem, the alteration in potential energy corresponds to the work performed. This is expressed mathematically as:





Consequently, the work done by the electrostatic force on the moving charge is
. Therefore, this concludes the solution.
The charge on the plastic cube is determined as follows.
The elevator's acceleration is 0.422 m/s². To clarify the solution: By applying Newton's Law, the net forces in the motion's direction equal the mass multiplied by the acceleration. The forces comprise 460 N in the motion's direction and the person's weight acting in the opposite direction... The weight is determined by the mass and gravity's acceleration (W = mg). Here m = 45 kg and g = 9.8 m/s², leading to W = 441 N. With the scale indicating 460 N, we apply F - W = ma, yielding 19 = 45 a. Dividing both sides by 45 gives a = 0.422 m/s².
The force that the car applies on the truck will be 6000 N in the reverse direction.
As per the information provided, the car's mass is one-fourth that of the truck
The truck exerts a force of 6000 N onto the car
We aim to determine the force that the car exerts on the truck
According to Newton's third law, every action has an equal and opposite reaction
Hence, the force from the car on the truck is 6000 N in the opposite direction