The equilibrium temperature of the system is 28.4°C.
To find the equilibrium temperature of the system, we need to use the principle of conservation of energy. This principle states that the total energy of a closed system remains constant. In this case, the energy lost by the lead ball will be equal to the energy gained by the water in the calorimeter.
The energy lost by the lead ball can be calculated using the specific heat capacity of lead (0.13 J/g°C), it's mass (235 g), and the difference in temperature between its initial temperature (81.9°C) and the equilibrium temperature (T).
Energy lost by lead ball = specific heat capacity of lead × mass of lead × (81.9°C - T)
The energy gained by the water can be calculated using the specific heat capacity of water (4.18 J/g°C), the mass of water (153 g), and the difference in temperature between its initial temperature (21.3°C) and the equilibrium temperature (T).
Energy gained by water = specific heat capacity of water × mass of water × (T - 21.3°C)
Since the total energy is conserved, we can equate the two equations:
specific heat capacity of lead × mass of lead × (81.9°C - T) = specific heat capacity of water × mass of water × (T - 21.3°C)
Simplifying the equation, we get:
0.13 × 235 × (81.9 - T) = 4.18 × 153 × (T - 21.3)
Solving for T, we get:
T = 28.4°C
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Consider the feedback control system with the plant transfer function G(s) = (s+12 a) Design a proportional controller so the closed-loop system has damping of t = 0.707. Under what conditions on kp is the closed-loop system stable? b) Design a PI controller so the closed-loop system has no over- shoot. Under what conditions on (kp, ki) is the closed-loop system stable? c) Design a PID controller such that the settling time is less than two seconds.
The closed-loop system is stable for Kp > 0, The closed-loop system is stable if Kp > 0 and Ki > 0. A PID controller that satisfies these conditions can achieve a settling time of less than two seconds.
(a), we are asked to design a proportional controller such that the closed-loop system has a damping ratio of 0.707. The closed-loop transfer function of the system can be expressed as G_c(s) = \((kps+12a)/(s^2+2ts+3+12akp)\). Using the damping ratio formula, we can set \(2t = 2kp/(sqrt(kp^2-36*a))\) to obtain the value of kp. We also need to ensure that kp > 0 for the closed-loop system to be stable.
(b), we are asked to design a PI controller such that the closed-loop system has no overshoot. The value of kp should be selected such that the system is stable, and the value of ki should be selected such that the system response is critically damped. The stability condition for the closed-loop system is kp > 0 and ki > 0.
(c), we are asked to design a PID controller such that the settling time is less than two seconds. The value of ki should be selected to reduce the steady-state error, and the value of kd should be selected to improve the transient response. The stability condition for the closed-loop system is kp > 0, ki > 0, and kd > 0.
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List two things you should not do when encountering a funeral procession?
party and being happy..........
Which is the equivalent of 2000 mm?
a. 200 m b. 2 m c. 0.002 m d. 0.02 m
2000 mm is equivalent to 2 m. This can be derived from the fact that 1 m = 1000 mm. Thus, 2000 mm would be equal to 2 m since it is twice the length of 1000 mm. This conversion is important in various fields such as construction, engineering, and science where precision is necessary.
It is crucial to be able to convert between different units of measurement in order to make accurate calculations and measurements.The millimeter is a unit of length that is often used to measure small distances such as the thickness of a sheet of paper or the size of a small component. It is part of the metric system, which is a system of units used across the world that is based on multiples of 10.
This system makes it easy to convert between different units since it is based on a consistent set of rules.For example, to convert 2000 mm to meters, we can simply divide by 1000 since there are 1000 millimeters in a meter. This gives us 2 meters, which is the equivalent length in meters of 2000 millimeters.
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A lightning bolt travels at 270,000 miles/hour. How fast is that in meters per second? Note that 1 mile = 1609 meters.
Answer:120700.8
Explanation:
In order for us to see the red apple, where do the wavelengths of light have to go?
Answer:
Explanation:650
colour* wavelength (nm) energy (eV)
red 650 1.91
orange 600 2.06
yellow 580 2.14
green 550 2.25
Answer:
A red apple appears red because when white light illuminates the red apple all of the colors in
the white light are absorbed except the red light which is reflected. Since blue light one of the primary colors (and does not contain red light), when it illuminates a red apple the apple would appear black since there is no red light to be reflected back.
Explanation:
Calculate the weight of a boy of mass 67kg on Earth if gravity = 10m/s/s.
For each pair of vehicles, choose the vehicle that would experience the greatest force of impact in a collision. Type your answer in the column on the right. Remember, Force = mass x acceleration Vehicle A is moving at 35 mph. Vehicle B is moving at 45 mph. Truck X hits a tree. Truck Y hits a wooden fence. Vehicle Y is carrying five passengers. Vehicle C is carrying only the driver. Motorcycle A runs into a haystack. Motorcycle B runs into a concrete divider.
Answer:
I need help on this tooo
Explanation:
You add 50g of ice cubes to 125g of water that is initially at20oC in a calorimeter of negligible heat capacity. When the system has reached equilibrium, how much of the iceremains? (specific heat capacity of ice is c=2.05 kJ/kgK, that ofwater is c=4.18 kJ/kgK, and the latent heat of fusion for ice towater is L=335.5 kJ/kg)
To solve this problem, we need to consider the heat transfer that occurs when the ice melts and the resulting water cools down to the final temperature of the system all 50 g of the ice have melted.
Therefore, the final temperature of the system is 4.4°C. At this temperature, the remaining ice will have melted completely. The mass of the water after the ice The final temperature of the system is 4.4°C, as calculated in the previous solution.The mass of the final solution is the sum of the initial mass of the water and the mass of the ice, which is 125 g + 50 g = 175 g.
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current flows through a light bulb connected to a circuit. suddenly, a wire is connected across the terminals of the light bulb, in parallel with the light bulb in the circuit. what happens? 1. all of the charge continues to flow through the light bulb. 2. the light bulb continues to burn brightly, but all of the current flows through the wire. 3. half of the charge flows through the light bulb, and half through the wire, causing the bulb to burn more dimly. 4. the light bulb extinguishes, and all the current flows through the wire. 5. none of these. 004 10.0 poi
Option 4 is correct: the light bulb extinguishes, and all the current flows through the wire.
When a wire is connected in parallel to a light bulb, it creates an alternate path for the current to flow. Since the wire has a lower resistance than the light bulb, it provides an easier path for the current to flow, causing all of the current to flow through the wire. As a result, the light bulb no longer has any current flowing through it, and it extinguishes.
This phenomenon is based on Ohm's Law, which states that the current flowing through a circuit is directly proportional to the voltage and inversely proportional to the resistance. Since the wire has a lower resistance than the light bulb, it provides an easier path for the current to flow, causing all of the current to flow through the wire, and none through the light bulb.
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The four vectors a1=[1,2,2],a2=[2,0,0],a3=[3,−3,0],a4=[1,1,1] span R3 (in other words, their span equals R3 ). Exactly one of the four vectors has the property that the span changes when you take it away. Which one? a1 a2 a3 a4
Vector a3 = [3, -3, 0] is the one that, when removed, causes a change in the span. To determine which vector causes a change in the span when removed, we can check if any of the vectors can be expressed as a linear combination of the remaining vectors.
Let's consider each vector one by one:
Vector\(a_1\)= [1, 2, 2]:
To check if a1 can be expressed as a linear combination of the remaining vectors, we solve the equation:
\(c_2 * a_2 + c_3 * a_3 + c_4 * a_4 = a_1\)
Solving this equation, we find that a1 cannot be expressed as a linear combination of \(a_2, a_3, and a_4.\)
Vector a_2 = [2, 0, 0]:
We check if \(a_2\)can be expressed as a linear combination of the remaining vectors:
\(c_1 * a_1 + c_3 * a_3 + c_4 * a_4 = a_2\)
Solving this equation, we find that \(a_2\) cannot be expressed as a linear combination of \(a_1, a_3,\) and \(a_4.\)
Vector \(a_3\) = [3, -3, 0]:
We check if a_3 can be expressed as a linear combination of the remaining vectors:
\(c_1 * a_1 + c_2 * a_2 + c_4 * a_4 = a_3\)
Solving this equation, we find that \(a_3\) can be expressed as a linear combination of a_1 and a_4:
\(3 * a_1 + (-3) * a_4 = a_3\)
Therefore, \(a_3\)can be expressed as a linear combination of the remaining vectors.
Vector a_4 = [1, 1, 1]:
We check if a4 can be expressed as a linear combination of the remaining vectors:
\(c_1 * a_1 + c_2 * a_2 + c_3 * a_3 = a_4\)
Solving this equation, we find that\(a_4\) cannot be expressed as a linear combination of\(a_1, a_2, and a_3.\)
Based on the above analysis, we can conclude that vector \(a_3\) = [3, -3, 0] is the one that, when removed, causes a change in the span.
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2. CHARLES MANSON WAS DIAGNOSED WITH
PERSONALITY DISORDER.
10 points
(A)NARCISSISTIC
(B) BIPOLAR
(C)ANTI-SOCIAL
(D)BORDERLINE
O Other
Answer:
The answer is C. anti social
Explanation:
Hope that helps!
Ted lifts a 10N weight at a height of 1.5 m in 1 second. Johnny lifts a 10N weight at a height of 1.5 m in 2 second. Which statements are correct? A. Johnny and Ted did the same amount of work B. Ted did more work C. Johnny and Ted expanded the same power D. Ted expanded more power E Johnny did more work F. Johnny expanded more power
Answer:
he affirmations the correct ones are: A and D
Explanation:
To find out which expressions are correct, let's calculate the work and power done by each person
the expression for work is W = F and
the expression for power is P = W / t
In this case the work is positive because the beast is in the same direction of displacement.
Ted
W₁ = 10 1.5
W₁ = 15 J
P₁ = 15/1
P₁ = 15 w
Johnny
the job
W₂ = 10 1.5
W₂ = 15 J
the potential
P₂ = 15/2
P₂ = 7.5 w
therefore we see that the work of both is the same, but Ted developed twice as much power as Johnny
when resisting the affirmations the correct ones are: A and D
What is vi for an object dropped from a raised position?
Answer:
Option C. vi = 0
Explanation:
An object held at a particular height above the ground is considered to be at rest. If the object is release from that height, the initial velocity (vi) is considered to be zero since the object is at rest or at a stand still position.
Thus,
Initial velocity (vi) = 0
Un alumno menciona que al abrir la ventana de su casa sintió cómo el frío ingresaba a su cuerpo. Menciona cuál es la verdadera razón por la cual el niño tuvo la sensación de frío. *
a) Porque el aire tiene una temperatura menor que la de su cuerpo; por eso se propaga más rápido.
b) Porque la temperatura de su cuerpo, siente el aire frio que entra por la ventana.
c) Porque el calor de su cuerpo se propaga al medio ambiente, al ser la temperatura del niño mayor que la del aire exterior.
d) Porque la temperatura del aire es igual a la temperatura del cuerpo.
Answer:
My believe the answer is
A.) or B.)
Explanation:
Here is why I think A is the answer.
If we use the process of elimination, it would look like this,
a) Porque el aire tiene una temperatura menor que la de su cuerpo; por eso se propaga más rápido.
This makes sense because we all know in winter the weather is very cold and freezing.
b) Porque la temperatura de su cuerpo, siente el aire frio que entra por la ventana.
I feel like this answer is the question, but it could also be an answer, sorry, I'm a little uncertain.
c) Porque el calor de su cuerpo se propaga al medio ambiente, al ser la temperatura del niño mayor que la del aire exterior.
This answer has nothing to do with the question, plus it is very false, our body heat is not enough to overcome the very cold temperature from outside.
d) Porque la temperatura del aire es igual a la temperatura del cuerpo.
This is false because again our body heat is not even compared to the freezing cold temperatures from the winter.
Well, have a nice rest of the day!ba baiii!
How do I calculate how many meters are in 7.2 light years?
The exact question is:
Calculate in meters the distance between a galaxy and the Earth if the distance is equal to 7.2 light years.
Answer:
68.2 Quadrillion meters
Explanation:
A lightyear is the distance that light travels in one year.
Speed of light is \(3*10^8\ m/s\)
So light covers 300,000,000 meters in one second.
One year has 31536000 seconds so , light covers
\(9.461*10^{15}\ meters\ in\ one\ year\)
so 7.2 light years is
\(7.2*(9.461*10^{15})\\6.82*10^{16}\)
so 7.2 light years is
6.82 x 10^(16) meters or
68.2 Quadrillion meters
A beaker (glass jar) contains 1 kg of water; when converted to a volume measurement it is the same as:
1,000 mL
1,000 L
1,000 cm 3
Pick more than 1
Answer:
a and c
Explanation:
didn't actually do the math, but i am pretty positive that those are equal
7. Two bikes travelling in the same direction move at a speed of 30 km/hr. The bikes are separated by a distance of 5 km. What would the speed of the car travelling in the opposite direction be if it meets these bikes at an interval of 4 minutes?
Answer:
Explanation:
Call the bike on the right A
Call the bike on the left B
The car begins it's time when it passes A
4 minutes later, it passes B.
But B has moved in 4 minutes and that is the key to the problem.
How far has B moved.
t = 4 minutes = 4/60 hours = 1/15 of an hour.
d = ?
rate = 30 km / hr
d = r * t
d = 30 km/hr * 1/15 hours = 2 km
The distance between the bikes is 5 km.
So the car has traveled 5 - 2 = 3 km
d = 3 km
r = ?
t = 4 minutes = 1/15 hour
r = d/t = 3/(1/15)= 3 / 0.066666666 = 45 km/hr.
An alpha particle (a helium nucleus, containing 2 protons and 2 neutrons) starts out with kinetic energy of 10 MeV (10 × 106 eV), and heads in the +x direction straight toward a gold nucleus (containing 79 protons and 118 neutrons). The particles are initially far apart, and the gold nucleus is initially at rest. Assuming that all speeds are small compared to the speed of light, answer the following questions about the collision. (a) What is the final momentum of the alpha particle, long after it interacts with the gold nucleus? (b) What is the final momentum of the gold nucleus, long after it interacts with the alpha particle? (c) What is the final kinetic energy of the alpha particle? (d) What is the final kinetic energy of the gold nucleus? (e) Assuming that the movement of the gold nucleus is negligible, calculate how close the alpha particle will get to the gold nucleus in this head-on collision.
(a) The momentum of the alpha particle is conserved, so the final momentum is also 2mv, where m is the mass of the alpha particle and v is its final velocity. Therefore, we need to find the final velocity. The initial kinetic energy of the alpha particle is all converted to potential energy when it is very close to the gold nucleus. Using conservation of energy, we have:
Initial KE = Final PE + Final KE
(1/2)mv2 = kq1q2/r + (1/2)mv2f
where k is Coulomb's constant, q1 and q2 are the charges on the alpha particle and gold nucleus (2e and 79e, respectively), r is the distance of closest approach, and v2f is the final velocity of the alpha particle after the collision. We can rearrange this equation to solve for v2f:
v2f = sqrt[(mv2)2 + 2kq1q2/mr - (2kq1q2/r)]
Plugging in the values given, we get:
v2f = 2.37 x 106 m/s
So the final momentum is:
p = 2mv2f = 9.48 x 10-22 kg m/s
(b) Since the gold nucleus is initially at rest, the final momentum of the gold nucleus is also equal to the momentum of the alpha particle. Therefore:
p = mv
where m is the mass of the gold nucleus and v is its final velocity. Solving for v, we get:
v = p/m = (2mv2f)/m = 3.39 x 104 m/s
(c) The final kinetic energy of the alpha particle is:
KE = (1/2)mv2f = 5.60 x 10-14 J = 350 keV
(d) The final kinetic energy of the gold nucleus is:
KE = (1/2)mv2 = 1.45 x 10-19 J = 9.03 keV
(e) At the point of closest approach, the potential energy between the alpha particle and gold nucleus is converted entirely into kinetic energy. Therefore, we can equate the potential energy to the initial kinetic energy of the alpha particle:
kq1q2/r = (1/2)mv2i
Plugging in the values given, we get:
r = kq1q2/(mv2i) = 7.09 x 10-15 m
Therefore, the alpha particle will get as close as 7.09 x 10-15 m to the gold nucleus in this head-on collision.
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Which of these statements is true?
When heat is added to a substance, its temperature usually increases
When a substance gives of heat, its temperature increases
O Heat is transferred from an object to the air surrounding it until it has no energy lett.
Hoat and temperature are the same
O
a detective holds a magnifying glass 8.6 cm above an object he is studying, creating an upright image three times as large as the object. what is the focal length of the lens used for the magnifying glass (in cm)?
In optics, the magnification produced by a lens is given by the formula `M = v/u`, where `v` is the distance between the image and the lens and `u` is the distance between the object and the lens. It is also equal to the ratio of the height of the image (`h'`) to the height of the object (`h`), which is given by `M = h'/h`.Using the formula `M = v/u`, we can rearrange it as `v = Mu`.
In this case, the magnifying glass creates an upright image that is three times as large as the object. Therefore, `M = 3` and `h' = 3h`.The detective holds the magnifying glass 8.6 cm above the object he is studying. This distance between the object and the lens (`u`) is equal to 8.6 cm.
We need to find the focal length of the lens (`f`). The focal length of a lens is given by the formula `1/f = 1/v + 1/u`.We already know that `u = 8.6 cm`. We can find `v` by using the formula `v = Mu`. Substituting the values of `M` and `u` in this formula.
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer
C. 0 N
F=ma=0.5(0)=0 N
Answer:
c
Explanation:
hope it helps
Solue the Selmultaneous equations:
3y +2x =5 and y-5x = 13
Answer:
x=-2 and y=3
Explanation:
Isolate y and then x to get: y=13+5(-2)
Simplify to get y=3 then plug it back in to get x=-2
We can check, 9+ (-4)=5 hope this helps
which three-terminal switching device only conducts current from cathode to anode?
The three-terminal switching device that only conducts current from the cathode to the anode is called a thyristor. Thyristors are semiconductor devices commonly used in power electronics for various applications, including power control and switching.
One of the most common types of thyristors is the Silicon-Controlled Rectifier (SCR), which consists of three terminals: the anode, cathode, and gate. The SCR operates in a manner where it remains in a non-conductive state until a triggering signal is applied to the gate terminal. Once triggered, the SCR switches into a conducting state and allows current to flow from the cathode to the anode.
The conducting state of the SCR persists even after the triggering signal is removed until the current flowing through the device drops below a certain threshold level. At that point, the SCR automatically returns to its non-conductive state, blocking current flow until another trigger is applied.
Thyristors like the SCR are widely used in applications such as power supplies, motor control, heating systems, lighting controls, and voltage regulation. Their ability to handle high power levels and their robustness make them suitable for various industrial and electronic applications where controlled switching of high currents is required.
It's important to note that while thyristors like the SCR conduct current in only one direction (from cathode to anode), there are other three-terminal devices, such as triacs, which can conduct current in both directions (bidirectional). The choice of device depends on the specific requirements of the application.
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How is a scientific theory different from a scientific law?
What is the supply voltage?
Answer:
[sə′plī ‚vōl·tij] (electricity) The voltage obtained from a power source for operation of a circuit or device.
Explanation:
hope this helps :)
Ft-Fg= ma solve for Ft?
PLEASE HELP!!!! An 85 kg snowboarder accidentally goes off trail and ends up in the middle of a frozen lake and comes to a stop. He remembers taking physics and learning about conservation of momentum in high school and decides to take off his 10 kg backpack
and throw it as hard as he can since he won't need it from being so smart for passing physics) at a speed of 6 m/s East. At what speed and direction will the snowboarder move after throwing the bag?
Okay, so the snowboarder weighs 85 kg and his backpack weighs 10 kg. He throws the backpack with a speed of 6 m/s to the East.According to the law of conservation of momentum, the total momentum before he throws the backpack is 85 kg * 0 m/s (since he's at rest) and the total momentum after he throws the backpack is 85 kg * x m/s + 10 kg * 6 m/s (since the backpack is moving East with a speed of 6 m/s).To find the snowboarder's new speed and direction, we have to set the total momentum before and after equal to each other and solve for x. So,85 kg * 0 m/s = 85 kg * x m/s + 10 kg * 6 m/sWe can solve for x by subtracting 10 kg * 6 m/s from both sides and dividing by 85 kg.x = -0.7143 m/sSo the snowboarder will move with a speed of -0.7143 m/s (which means he will move in the opposite direction of the backpack) and he will move west.
Which represent correct variations of the formula for speed? Check all that apply. t = d/s s = d/t t = s/d s = dt d = st d = s/t
Answer: 1 2 5
Explanation:
Galileo Galilei, an Italian physicist, is credited with being the first to calculate speed by dividing it by the distance traveled and the time required. Galileo defined speed as the distance covered in a predetermined period of time. Thus option A, B. E is correct.
What represent correct variations of the formula for speed?Speed is determined by dividing the distance by the time. Calculating the units for speed requires knowledge of the units for both time and distance. Since the distance is measured in meters (m) and the time is measured in seconds, the units in this example will be meters per second (m/s) (s).
That is speed = distance time. Alternatively, you can calculate the time by dividing the distance traveled by the speed. You can figure out the third input if you know two of the inputs.
Therefore, For instance, if a car drives 120 miles (ca. 193 km) in 2 hours, we may calculate the speed as 120 × 2 = 60 miles per hour (ca. 97 km/h).
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Ajajahsehahsjhabs Oh ya haha is coming over here for a
A construction worker uses an electrical device to attract fallen nails and sharp objects
from a construction site. What is causing the attraction of the metal objects?
O An electrical wave oscillating perpendicular to the electrical device.
O An electrical charge radiating perpendicular to the wire
O Amagnetic wave radiating perpendicular to an electrical device
O A magnetic wave and electrical current moving in opposite directions
Answer:
is the last one, a magnetic wave and electrical current moving in opposite directions
Explanation:
opposite directions always attract in magnetic waves and fields