Answer:
0.1875 m/s leftward
Explanation:
Taking rightwards as positive
We are given:
Ball 1:
Mass (m1) = 1.5 kg
velocity (u1) = 2 m/s
Ball 2:
Mass (m2) = 2.5 kg
velocity (u2) = -1.5 m/s [negative because it is in the opposite direction]
Speed and Direction of Ball 2:
We are told that the balls stick together after the collision
We can say that the balls have the same velocity since they are sticking together
So, Final velocity of Ball 1 (v1) = Final velocity of Ball 2 (v2) = V m/s
According to the law of conservation of momentum
m1u1 + m2u2 = m1v1 + m2v2
replacing the variables
1.5(2) + (2.5)(-1.5) = V (1.5 + 2.5) [v1 = v2 = V]
3 + (-3.75) = 4V
-0.75 = 4V
V = -0.75/4 [dividing both sides by 4]
V = -0.1875 m/s
Hence, the balls will move at a velocity of 0.1875 m/s in the Leftward direction
The dielectric plate is now slowly pulled out of the capacitor, which remains connected to the battery. Find the energy U2 of the capacitor at the moment when the capacitor is half-filled with the dielectric.
Answer:
U_eq = 1.99 * 10^(-10) J
Explanation:
Given:
Plate Area = 10 cm^2
d = 0.01 m
k_dielectric = 3
k_air = 1
V = 15 V
e_o = 8.85 * 10 ^-12 C^2 / N .m
Equations used:
U = 0.5 C*V^2 .... Eq 1
C = e_o * k*A /d .... Eq 2
U_i = 0.5 e_o * k_i*A_i*V^2 /d ... Eq 3
For plate to be half filled by di-electric and half filled by air A_1 = A_2 = 0.5 A:
U_electric = 0.5 e_o * k_1*A*V^2 /2*d
U_air = 0.5 e_o * k_2*A*V^2 /2*d
The total Energy is:
U_eq = U_electric + U_air
U_eq = 0.5 e_o * k_1*A*V^2 /2*d + 0.5 e_o * k_2*A*V^2 /2*d
U_eq = (k_1 + k_2) * e_o * A*V^2 / 4*d
Plug the given values:
U_eq = (3 + 1) * (8.82 * 10^ -12 )* (0.001)*15^2 / 4*0.01
U_eq = 1.99 * 10^(-10) J
Answer:
Please find the answer in the explanation
Explanation:
Responsibilities of citizens are those things citizens are to take care of.
While obligations are those things that are compulsory for the citizens to observe and adhere to.
Why are certain things obligations of citizenship instead of responsibilities?
1.) Because of law and order of the community. It is mandatory for all citizens to obey the law of the land.
2.) Because of the progress and peaceful coexistence of the citizens in the community.
3.) Because of the protection of constitution of the land
4.) To support and defend the constitution
5.) To maintain orderliness and eschew violence.
The wavelength of the light passing through the slit is 214 nm.
The wavelength is the distance between identical points in the adjacent cycles of a waveform.
Given that the separation between two slits d is 3.00 × 10^-5 m and the distance from the slit to screen r is 2 m. The distance from the central spot to fringe s is 10.0 m and the bright bands of the spectrum m are 7 for the seventh bright fringe.
The wavelength of the light passing through the slit is calculated as given below.
Hence we can conclude that the wavelength of the light passing through the slit is 214 nm.
To know more about the wavelength, follow the link given below.
To solve this problem, the concepts related to destructive and constructive Interference of light spot and dark spot are necessary.
By definition in the principle of superposition, light interference is defined as
Where,
d = Separation of the two slits
R = Distance from slit to screen
m= Any integer, which represents the repetition of the spectrum. The order of m equal to 1,2,3,4,5 represent bright bands and the order of m equal to 1.5,2.5,3.5 represent the dark bands.
Y = Distance from central spot to fringe.
Re-arrange the equation to find \lambda we have that
Our values are gives according the problem as,
m = 7 (The seventh bright fringe)
R = 2m
Therefore the wavelength of the light passing through the slits is 214nm
Answer:
300 clicks...
Explanation:
Output on 3 clicks = 10 dB
Increasing 10 by a factor of 100 equals 1000 dB so,
Its simple math, clicks will also increase in the same ratio and it shall take 300 clicks to increase the volume by a factor of 100.
Answer:
The position of the arrows will not be on the target i.e. outside the bull's eye, neither will they be close to one another (widely scattered).
Explanation:
Accuracy refers to the closeness of a measurement to an actual or accepted value while precision refers to the closeness of measurements to one another.
Using archery as an illustration of precision and accuracy, measurements (arrows) that are neither accurate not precise are those arrows that will be far away or outside the bull's eye region (target) of the board and also far apart from one another.
In a nutshell, the arrows will be distant from the bull's eye or target (not accurate) and also distant from one another (not precise).