Answer:

Explanation:
The question: What is the net force exerted by these two charges on a third charge q_3 = 47.0 nC placed between q_1 and q_2 at x_3 = -1.240 mm ?
<u>Your answer may be positive or negative, depending on the direction of the force.</u>
Solution:
The coulomb force is given by the equation

where
is the separation between the charges
and
.
Now, in our case



The separation between charges
and
is

Therefore, the force between them is

and it is directed in the negative x-direction.
The separation between charges
and
is

therefore, the force between them is

Therefore the total force on charge
is

Answer:
The new time period will be T.
Explanation:
The time period in terms of spring constant and mass is given by :

If mass and force constant is doubled, m' = 2m and k' = 2k
New time period is given by :




So, the new period will remains the same. Hence, the correct option is (C).
Answer:
The time it takes the ball to fall 3.8 meters to friend below is approximately 0.88 seconds
Explanation:
The height from which the student tosses the ball to a friend, h = 3.8 meters above the friend
The direction in which the student tosses the ball = The horizontal direction
Given that the ball is tossed in the horizontal direction, and not the vertical direction, the initial vertical component of the velocity of the ball = 0
The equation of the vertical motion of the ball can therefore, be represented by the free fall equation as follows;
h = 1/2 × g × t²
Where;
g = The acceleration due gravity of the ball = 9.81 m/s²
t = The time of motion to cover height, h
Then height is already given as h = 3.8 m
Substituting gives;
3.8 = 1/2 × 9.81 × t²
t² = 3.8/(1/2 × 9.81) ≈ 0.775 s²
∴ t = √0.775 ≈ 0.88 seconds
The time it takes the ball to fall 3.8 meters to friend below is t ≈ 0.88 seconds.
UVA
I'm pretty sure it's UVA :)