I’m assuming the correct answer is BLUE
Answer : 
Explanation :
Given that
Radius of sphere 
The distance between the centers of the two spheres is

The charge of the sphere 
The magnitude of the repulsive force between the charges pushing them a part is
Using coulomb law




Hence, this is the required solution.
Answer:
The fraction of kinetic energy lost in the collision in term of the initial energy is 0.49.
Explanation:
As the final and initial velocities are known it is possible then the kinetic energy is possible to calculate for each instant.
By definition, the kinetic energy is:
k = 0.5*mV^2
Expressing the initial and final kinetic energy for cars A and B:


Since the masses are equals:

For the known velocities, the kinetics energies result:




The lost energy in the collision is the difference between the initial and final kinectic energies:


Finally the relation between the lost and the initial kinetic energy:


Answer:
a. 4v
Explanation:
Alf moves with speed v
Alf travel during the same amount of time that is Δt = (1/4)s
v = (1/4)s / Δt = s / 4 Δt
s / Δt = 4 v
Beth travels a distance s during time Δt,
speed of Beth = s / Δt = 4 v .