Answer:

Explanation:
<u>Uniform Acceleration
</u>
When an object changes its velocity at the same rate, the acceleration is constant.
The relation between the initial and final speeds is:

Where:
vf = Final speed
vo = Initial speed
a = Constant acceleration
t = Elapsed time
It's known a train moves from rest (vo=0) to a speed of vf=25 m/s in t=30 seconds. It's required to calculate the acceleration.
Solving for a:

Substituting:


To determine the force that acts on the mass, just multiply the mass by the gravitational field. Using the given data,
F = (2.50 kg)(14 N/kg) = 35 N
Therefore, the force that acts on the mass is equal to 35 N.
Answer:
a) attractiva, b) dF =
, c) F =
, d) F = -1.09 N
Explanation:
a) q1 is negative and the charge of the bar is positive therefore the force is attractive
b) For this exercise we use Coulomb's law, where we assume a card dQ₂ at a distance x
dF =
where k is a constant, Q₁ the charge at the origin, x the distance
c) To find the total force we must integrate from the beginning of the bar at x = d to the end point of the bar x = d + L
∫ dF =
as they indicate that the load on the bar is uniformly distributed, we use the concept of linear density
λ = dQ₂ / dx
DQ₂ = λ dx
we substitute
F = 
F = k Q1 λ (
)
we evaluate the integral
F = k Q₁ λ
F = k Q₁ λ 
we change the linear density by its value
λ = Q2 / L
F =
d) we calculate the magnitude of F
F =9 10⁹ (-4.2 10⁻⁶)
F = -1.09 N
the sign indicates that the force is attractive
Answer:
The the intensity at an 11° angle to the axis in terms of the intensity of the central maximum is

Explanation:
From the question we are told that
The width of the slit is 
The wavelength is 
The angle is 
The intensity of at
to the axis in terms of the intensity of the central maximum. is mathematically represented as
![I_c = \frac{I}{I_o} = [ \frac{sin \beta }{\beta }] ^2](https://tex.z-dn.net/?f=I_c%20%3D%20%5Cfrac%7BI%7D%7BI_o%7D%20%20%3D%20%5B%20%5Cfrac%7Bsin%20%5Cbeta%20%20%7D%7B%5Cbeta%20%7D%5D%20%5E2)
Where
is mathematically represented as

substituting values


So
![I_c = \frac{I}{I_o} = [ \frac{sin (708.1) }{(708.1)}] ^2](https://tex.z-dn.net/?f=I_c%20%3D%20%5Cfrac%7BI%7D%7BI_o%7D%20%20%3D%20%5B%20%5Cfrac%7Bsin%20%28708.1%29%20%20%7D%7B%28708.1%29%7D%5D%20%5E2)
