Answer:
Final Length = 30 cm
Explanation:
The relationship between the force applied on a string and its stretching length, within the elastic limit, is given by Hooke's Law:
F = kΔx
where,
F = Force applied
k = spring constant
Δx = change in length of spring
First, we find the spring constant of the spring. For this purpose, we have the following data:
F = 50 N
Δx = change in length = 25 cm - 20 cm = 5 cm = 0.05 m
Therefore,
50 N = k(0.05 m)
k = 50 N/0.05 m
k = 1000 N/m
Now, we find the change in its length for F = 100 N:
100 N = (1000 N/m)Δx
Δx = (100 N)/(1000 N/m)
Δx = 0.1 m = 10 cm
but,
Δx = Final Length - Initial Length
10 cm = Final Length - 20 cm
Final Length = 10 cm + 20 cm
<u>Final Length = 30 cm</u>
Steel paper clip because it can be moved by the magnet and it is lighter than the iron nail
Solution :
Given data is :
Density of the milk in the tank, ![$\rho = 1020 \ kg/m^3$](https://tex.z-dn.net/?f=%24%5Crho%20%3D%201020%20%5C%20kg%2Fm%5E3%24)
Length of the tank, x = 9 m
Height of the tank, z = 3 m
Acceleration of the tank, ![$a_x = 2.5 \ m/s^2$](https://tex.z-dn.net/?f=%24a_x%20%3D%202.5%20%5C%20m%2Fs%5E2%24)
Therefore, the pressure difference between the two points is given by :
![$P_2-P_1 = -\rho a_x x - \rho(g+a)z$](https://tex.z-dn.net/?f=%24P_2-P_1%20%3D%20-%5Crho%20a_x%20x%20-%20%5Crho%28g%2Ba%29z%24)
Since the tank is completely filled with milk, the vertical acceleration is ![$a_z = 0$](https://tex.z-dn.net/?f=%24a_z%20%3D%200%24)
![$P_2-P_1 = -\rho a_x x- \rho g z$](https://tex.z-dn.net/?f=%24P_2-P_1%20%3D%20-%5Crho%20a_x%20x-%20%5Crho%20g%20z%24)
Therefore substituting, we get
![$P_2-P_1=-(1020 \times 2.5 \times 7) - (1020 \times 9.81 \times 3)$](https://tex.z-dn.net/?f=%24P_2-P_1%3D-%281020%20%5Ctimes%202.5%20%5Ctimes%207%29%20-%20%281020%20%5Ctimes%209.81%20%5Ctimes%203%29%24)
![$=-17850 - 30018.6$](https://tex.z-dn.net/?f=%24%3D-17850%20-%2030018.6%24)
![$=-47868.6 \ Pa$](https://tex.z-dn.net/?f=%24%3D-47868.6%20%5C%20Pa%24)
![$=-47.868 \ kPa$](https://tex.z-dn.net/?f=%24%3D-47.868%20%5C%20kPa%24)
Therefore the maximum pressure difference in the tank is Δp = 47.87 kPa and is located at the bottom of the tank.
Under general relativity, there is no 'before the Big Bang'. The problem is that time is itself a part of the universe and is affected by matter and energy. Because of the huge densities just after the Big Bang, time itself is warped in such a way that it cannot go back before that event. It is somewhat like asking what is north of the north pole.
The conservation of matter and energy states that the total amount of mass and energy at one time is the same at any other time. Notice how time is a crucial part of this statement. To even talk about conservation laws, you have to have time.
The upshot is that the Big Bang did not break the conservation laws because time itself is part of the universe and started at the Big Bang and because the conservation laws need to have time in their statements.
Answer:
C. Technician B
Explanation:
Excessive Galvanic activity:
To check for excessive galvanic activity, voltmeter is used to check the coolant. If the voltmeter is giving a reading greater than 0.5 V, there is excessive galvanic activity. Excessive galvanic activity is solved by flushing the coolant fluid from engine and refiling it.
Electrolysis problem:
When the system is not properly ground, the cooling system accepts stray current and the coolant becomes an electrolyte which might eat up the radiator. To test for excessive electrolysis, start the engine and turn on all electrical accessories, if the reading is more than 0.5 V, there is electrolysis problem. Ground wires and connections should be checked at this point to stop stray current.
In our case, the first reading is 0.2 V(engine turned off) which is normal and there is no excessive galvanic activity. This means that Technician A is not correct. The second reading is 0.8 V when the engine and all electrical accessories are turned on. This reading is greater than 0.5 V which means there is an electrolysis problem. This means that Technician B is correct and ground wires and connections should be inspected and repaired.