Answer:
1)
The total work done by outside force is 
2)
The total work done by the electric field is 
3)
The potential energy of the two sphere system is 
4)
The magnitude of the acceleration of sphere A is 
5)
The magnitude of the acceleration of sphere B is 
6)
The magnitude of velocity sphere A after a very long time is
\
7) The magnitude of velocity sphere B after a very long time is 
Explanation:
The explanation is shown on the first and second uploaded image
Answer:
The second vector
points due West with a magnitude of 600N
Explanation:
The original vector
points with a magnitude of 200N due east, the Resultant vector
points due west (that's how east/west direction can be interpreted, from east to west) with a magnitude of 400N. If we choose East as the positive direction and West as the negative one, we can write the following vectorial equation:

With the negative sign signifying that the vector points west.
Answer:
The correct answer is option 'c': Smaller stone rebounds while as larger stone remains stationary.
Explanation:
Let the velocity and the mass of the smaller stone be 'm' and 'v' respectively
and the mass of big rock be 'M'
Initial momentum of the system equals

Now let after the collision the small stone move with a velocity v' and the big roch move with a velocity V'
Thus the final momentum of the system is

Equating initial and the final momenta we get

Now since the surface is frictionless thus the energy is also conserved thus

Similarly the final energy becomes
\
Equating initial and final energies we get

Solving i and ii we get

Using this in equation i we get
Thus putting v = -v' in equation i we get V' = 0
This implies Smaller stone rebounds while as larger stone remains stationary.