Answer:
The speed is 
.
(a) is correct option.
Explanation:
Given that,
Potential difference 
Speed 
If it were accelerated instead
Potential difference 
We need to calculate the speed
Using formula of initial work done on proton
We know that,
Put the value into the formula
....(I)
If it were accelerated instead through a potential difference of 
, then it would gain a speed will be given as :
Using an above formula,
Put the value of 
Hence, The speed is .
Explanation:
Below is an attachment containing the solution.
The electric force between two objects can be understood by looking at Coulomb's Law. The law states that the electric force is directly proportional to the charges of the 2 objects, and inversely proportional as the square of the distance. This is shown below:
F = (k * Q1 * Q2) / d^2
Where: k = proportionality constant; Q1 = charge of object 1; Q2 = charge of object 2; d = distance between objects.
Given:
F = <span>3.0 × 10^-3 N
Q1 = </span>3.3 × 10^-8 coulombs<span>
Q2 = ?
d = </span><span>6.0 × 10^-2 m
</span><span>k = 9.0 × 10^9
Substituting:
3 x 10^-3 = (9 x 10^9 * 3.3 x 10^-8 * Q2) / (6 x 10^-2)^2
[(</span>3 x 10^-3) * (6 x 10^-2)^2] / [(<span>9 x 10^9) * (3.3 x 10^-8)</span>] = Q2
Q2 = 3.636 x 10^-8 coulombs
It's very tough to use the drop-down menus for this. I'll just do the best I can without them.
-- Objects with the same charge repel each other with electrostatic force, and attract each other with gravity. You can ignore the gravity because the electrostatic force is so much stronger.
-- Objects with opposite charge attract each other with electrostatic force, and also attract each other with gravity. You can ignore the gravity because the electrostatic force is so much stronger.
-- Objects with no charge have no electrostatic force between them, and they only attract each other with gravity.
