To calculate the average power delivered to the load when ro=2000 ω and co=0.2 μf, we need to use the formula P = V^2/R, where P is the power, V is the voltage, and R is the resistance.
Since we don't have the voltage or resistance values, we need to find them using the given values of ro and co. We can use the formula Z = R + jXc, where Z is the impedance, R is the resistance, Xc is the capacitive reactance, and j is the imaginary unit.
The capacitive reactance is given by Xc = 1/(2πfco), where f is the frequency. Since we don't have the frequency, we can assume a value of 50 Hz, which is the standard frequency for AC power in most countries. Substituting the given values, we get Xc = 1/(2π x 50 x 0.2 x 10^-6) = 159.2 Ω.
Now we can find the impedance using Z = ro + jXc = 2000 + j159.2 Ω.
To find the voltage, we need to know the current flowing through the load. Let's assume a value of 1 A. Then the voltage is given by V = IZ = 1 x (2000 + j159.2) = 2000 + j159.2 V.
The real part of the voltage (i.e., 2000 V) is the voltage across the load resistor, and the imaginary part (i.e., 159.2 V) is the voltage across the load capacitor.
Finally, we can calculate the power using P = V^2/R = (2000)^2/2000 = 2000 W. Therefore, the average power delivered to the load is 2000 W.
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what is the electrical potential at the surface of the droplet and the center of the droplet
The electrical potential at the surface of the droplet is the same as the electrical potential at the center of the droplet.
This is because the electric field inside a charged conductor is zero, and therefore the potential difference between any two points inside the conductor is also zero.
In mathematical terms, we can write:
V(surface) - V(center) = 0
Therefore:
V(surface) = V(center)
This means that the electrical potential is the same throughout the entire droplet, and there is no difference between the potential at the surface and the potential at the center.
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What if? what would be the change in electric potential energy (in j) of the system if the charge q were moved a distance d
The change in electric potential energy depends on the initial and final positions of the charge, as well as the electric field that exists between those positions.
The change in electric potential energy (ΔU) of a system when a charge q is moved a distance d in an electric field depends on the strength of the field and the magnitude and direction of the charge.
The formula for calculating the change in electric potential energy is:
\(\triangle U = q * E * d cos\theta\)
where q is the magnitude of the charge, E is the strength of the electric field, d is the distance the charge is moved, and θ is the angle between the direction of the field and the direction of the movement of the charge.
If the charge q is positive and is moved in the direction of the electric field, then θ = 0 and cos(θ) = 1, and the formula simplifies to:
\(\triangle U = q * E * d\)
If the charge q is negative and is moved in the direction of the electric field, then θ = 180 degrees and cos(θ) = -1, and the formula becomes:
\(\triangle U = -q * E * d\)
If the charge is moved perpendicular to the electric field, then θ = 90 degrees and cos(θ) = 0, and the change in electric potential energy is zero.
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What is the maximum flow rate of water in a smooth pipe 8.0 cm diameter if the flow is to be laminar
Answer:
0.05 m/s
Explanation:
We start by finding the average velocity of water in the pipe. This is done by saying
R(e) = ρv(avg)d/μ
Where,
R(e) = Reynolds number, and that's 2000
ρ = Density of water, 1000 kg/m³
μ = Viscosity of water, 10^-3
d = diameter of pipe
v(avg) = average velocity
Since we're interested in average velocity, we make v(avg) the subject of formula. So that
V(avg) = R(e).μ/ρ.d
V(avg) = 2000 * 10^-3 / 1000 * 0.08
V(avg) = 2 / 80
V(avg) = 0.025 m/s
The maximum flow rate of water in the pipe usually is twice the average velocity, and as such
V(max) = 2 * V(avg)
V(max) = 2 * 0.025
V(max) = 0.05 m/s
3 resitor is connected in series to a 6 resior and a 12-v battery.what is the current in each of the resistors ? what is the voltage drop across each resitor?
The current in each resistor is 4 A, 2 A, and 4 A, respectively. The voltage drop across each resistor is 12 V.
When three resistors are connected in series with a six resistor and a 12-volt battery, the total resistance of the series circuit is R = R1 + R2 + R3 + ...
The current flowing through the circuit is the same at every point. So, if we want to know the current flowing through each resistor, we need to use Ohm's law, I = V/R, where V is the voltage of the battery and R is the resistance of each resistor.
I1 = V/R1 = 12/3 = 4 AI2 = V/R2 = 12/6 = 2 AI3 = V/R3 = 12/3 = 4 A. The voltage drop across each resistor can be calculated using Ohm's law, V = IR.
V1 = I1R1 = 4 x 3 = 12 VV2 = I2R2 = 2 x 6 = 12 VV3 = I3R3 = 4 x 3 = 12 V.
Therefore, the current in each resistor is 4 A, 2 A, and 4 A, respectively. The voltage drop across each resistor is 12 V.
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What force will cause a displacement of 2m, while doing a work of 50J
Using the work done relation, the value of force is 25 Newton.
When a force is applied along a displacement, "work" in physics refers to the energy that is transported to or away from an object. The following situations include work: relocating a table. a door being pulled and pushed. Walking. raising a stone.
The work W that a force F traveling across a distance x exerts on an object is calculated using the formula W=Fs. If the object is moving in the opposite direction from how we expect it to, we add a minus sign.
Work done is equal to displacement times force.
50J = force × 2
f=50/2
Force = 25 Newton.
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which assumption about level of measurement is made for the chi square test?
The chi-square test assumes that the variables being analyzed are measured at a nominal or ordinal level of measurement.
In statistics, the level of measurement refers to the nature and properties of the data being collected. There are four levels of measurement: nominal, ordinal, interval, and ratio. Nominal and ordinal levels are considered categorical, while interval and ratio levels are considered numerical. The chi-square test is specifically designed for analyzing categorical data, where the observations can be classified into distinct categories or groups. It is used to determine whether there is a significant association or relationship between two categorical variables.
The test calculates the difference between the observed frequencies and the expected frequencies under the assumption of independence between the variables. It compares the observed and expected frequencies using a chi-square statistic and determines the p-value to assess the statistical significance of the association. Therefore, the chi-square test assumes that the variables being analyzed are measured at a nominal or ordinal level because it deals with categorical data and evaluates the relationship between different categories or groups.
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Pls Answer I’m Being Timed!!
Substance Specific Heat (1 kg ? K')
Aluminum
900
Copper
390
Brass
380
Silver
230
Platinum
130
of the five metal samples, with equal masses, which would be the best material to use if you needed something to heat up quickly?
A aluminum
B. platinum
C. copper
D. gold
Answer:
Platinum
Explanation:
The specific heat of a substance gives the amount of energy it takes to raise the temperature.
5. A cubic shark was thrown downwards from the 8th floor of a 27-storey building. The shark was later caught at a position below its starting position. Consider the origin at the 8 th floor. Determine the final velocity of the shark if the shark moved for 1.4 s and was caught 19.5 m below the 8 th floor.
The final velocity of the shark, if the shark moved for 1.4 s and was caught 19.5 m below the 8th floor, is 13.67 m/s.
The 8th-floor shark is thrown downwards, therefore, its acceleration will be due to gravity, g = 9.8 m/s².The formula for displacement, s of a falling object is given by:s = ut + (1/2)gt²Where u is the initial velocity, t is the time taken and g is the acceleration due to gravity.
Using the above formula for the shark, s = displacement = 19.5 m, t = time taken = 1.4 s and g = 9.8 m/s², we can find the initial velocity as follows:19.5 = u(1.4) + (1/2)(9.8)(1.4)²19.5 = 1.4u + 9.716u = (19.5 - 19.432)u = -0.068u = -0.068 / 1.4u = -0.04857 m/s.
The initial velocity of the shark is -0.04857 m/s (negative sign indicates it was thrown downwards). The final velocity of the shark, v = u + gtSubstituting the values of u, t, and g we get:v = -0.04857 + (9.8)(1.4)v = -0.04857 + 13.72v = 13.67143 m/s.
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a physical chemist measures the temperature t inside a vacuum chamber. here is the result. =t−68.758°c convert t to si units. be sure your answer has the correct number of significant digits. k
The temperature measured by the physical chemist is given by t-68.758°C. To convert this to SI units, we need to add 273.15 K to get the temperature in Kelvin. Therefore, t in SI units is (t-68.758°C + 273.15 K) = (t+204.392 K).
Since the original temperature measurement had 4 significant digits, our final answer should also have 4 significant digits. Therefore, our final answer is (t+204.4 K).
In summary, to convert a temperature measured in Celsius to Kelvin, we add 273.15. In this case, we apply that conversion to t-68.758°C to get the temperature in SI units, which is t+204.392 K, rounded to 4 significant digits as t+204.4 K.
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calculate the smallest value for the coefficient of friction necessary that would keep the block from moving
With the given values of W and d, we can find the smallest value for the coefficient of friction necessary to keep the block from moving.
To calculate the smallest value for the coefficient of friction necessary to keep the block from moving, we can use the formula for static friction:
static friction (fs) = coefficient of static friction (μs) × normal force (N)
Since we know the work done (200 J) and want to find the smallest value for the coefficient of friction (μs), we can use the work-energy theorem, which states:
Work = change in kinetic energy = 0 (since the block is not moving)
Work = force (F) × distance (d) × cos(θ)
200 J = μs × N × d × cos(θ)
Now, let's consider the forces acting on the block.
The weight of the block (W) is acting vertically downward, and the normal force (N) is acting vertically upward. In this case, the angle (θ) between the force and the direction of motion is 0 degrees,
so cos(θ) = 1.
To find the normal force (N), we can equate it to the weight of the block since the block is not moving vertically:
N = W
We need more information to solve for the coefficient of static friction (μs), such as the weight of the block (W) and the distance (d).
Once we have this information, we can substitute it into the equation and solve for μs:
200 J = μs × W × d
μs = 200 J / (W × d)
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An object is moving to the right, and experiencing a net force that is directed to the right. The magnitude of the force is decreasing with time. The speed of the object is:A. increasingB. constant in timeC. decreasing
Answer:
The speed of the object is increasing.
F = M a as long as the magnitude of the acceleration is acting towards the right there will be an acceleration towards the right
a plank is balanced in its center. a 100 n bucket is placed 0.66 m from the center of the plank. how far from the center on the opposite side must a 50 n weight must be placed to balance the bucket.
The 50 N weight must be placed 1.32 m from the center on the opposite side to balance the 100 N bucket.
The formula to find the distance, d, from the center that a weight must be placed to balance a weight placed a distance, x, from the center is:
d = x * (m1 / (m1 + m2)),Where:
m1 and m2 are the masses of the weightsIn this case:
m1 = 100 Nm2 = 50 NPlugging these values into the formula, we find:
d = 0.66 m * (100 N / (100 N + 50 N)) d = 0.66 m * (100 N / 150 N) d = 0.66 m * (2 / 3) d = 1.32 mHence, in order to balance the 100 N bucket, the 50 N weight must be positioned 1.32 m from the center on the opposite side.
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Describe the conceptual relationship between energy and force.
Answer:
When two objects interact, each one exerts a force on the other that can cause energy to be transferred to or from the object. For example, when energy is transferred to an Earth-object system as an object is raised, the gravitational field energy of the system increases.
Explanation:
Force and work are directly proportional to each other, while force and displacement are indirectly propotional. The equation showing the relationship is W= Fd. W represents work measured in joules; F represents force in newtons; and d represents distance in meters.
If Joe Scientist has created his own temperature scale where water freezes at 57 and boils at 296, create a transformation equation that will allow you to convert celcius into his temperatures
The transformation equation to convert Celsius temperatures (C) to Joe Scientist's temperature scale (J) is:
J = 2.39C + 57
How do we calculate?In Joe Scientist's temperature scale,
water freezes = 57
water boils = 296.
In Celsius scale, water freezes at 0 and boils at 100.
To convert Celsius temperatures (C) to Joe Scientist's scale temperatures (J), we can use a linear transformation equation.
The general equation for linear transformation is:
J = aC + b
Celsius: 0 (water freezing point) -> Joe Scientist: 57
Celsius: 100 (water boiling point) -> Joe Scientist: 296
we can set up a system of linear equations to solve for 'a' and 'b' provided we have the data points
Equation 1: 0a + b = 57
Equation 2: 100a + b = 296
We solve this and find that
'a' =2.39
'b'= 57.
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An athlete from your school's cross country team goes for a training
run. she runs 3.6 km east, 4.5 km north, then another 2.4 km east. at the
end of her run, how far is the athlete from her starting position?
(remember, you can rearrange the vectors to make a right triangle and
use pythagorean theorem).
2.4 km
4.5 km
- 3.6 km
The athlete is 7.5 km North east from the starting point.
Consider the athlete's starting point as A. After running 3.6 km east from A, consider the point as B. After running 4.5 km north from B, consider the point as C. After running 2.4 km from C, consider the point as D.So the distance from starting point to ending point is AD.Total distance travelled east is 3.6 + 2.4 = 6 kmTotal distance travelled east is 4.5 kmThis forms a right angled triangle, where AD is the hypotenuse and the distance travelled east and north are the other two sidesAccording to Pythagoras theorem,
\(AD^{2}\) = \(6^{2}\) + \(4.5^{2}\)
AD = √ 36 + 20.25
AD = √ 56.25
AD = 7.5 km
Therefore, the athlete is 7.5 km North east from the starting point.
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in which case would you have the largest mass of gold? a. if your chunk of gold weighs 1 n on the moon. b. if your chunk of gold weighs 1 n on the earth. c. if your chunk of gold weighed 1 n on the planet jupiter.
The largest mass of gold would be in the case c. if your chunk of gold weighs 1 N on the planet Jupiter.
Mass is the quantity of matter in an object. The mass of an object is a measure of the amount of matter it contains. Mass is usually measured in grams (g) or kilograms (kg). A measure of the resistance to acceleration given by an object to any force used to modify its speed, direction or shape is referred to as mass. The following statement can be used to describe mass: “Mass is the amount of matter present in a body.”
Weight is the force with which gravity pulls on an object. Weight is not the same as mass, which is a measure of how much matter is present in an object. On the other hand, weight is the measure of the amount of gravitational force that is acting on an object.The answer to this question is "The largest mass of gold would be in the case when your chunk of gold weighs 1 N on the planet Jupiter."
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How long will it take for a body
accelerating by 2 m/s² to gain a
velocity of 10 m/s, starting from rest.
We are given:
Initial velocity (u) = 0 m/s [starting from rest]
Final velocity (v) = 10 m/s
Acceleration (a) = 2 m/s²
Time taken = t
Solving for time taken:
v = u + at [first equation of motion]
10 = 0 + (2)(t) [plugging the values]
10 = 2t
t = 5 seconds
I need help please hurry ??!!!
Answer:
I would use the model of Ammonia because it helps you visualize the structure of NH3 better than the description. It would be easier to understand the structure of it if you can see it, rather than reading its description.
Three vector are oriented as shown in figure below where. A=20.0units, B=40.0units, And C=30.0. (a) The x and Y component of the resultant vector. (b) The magnitude of the resultant vector. (c) Direction of the resultant vector { please help me}
Answer:
Explanation:
a). Vertical component of vector B = Bsin(45)
= 40sin(45°)
= 28.28 units
Horizontal component of vector B = Bcos(45°)
= 40cos(45°)
= 28.28 units
Vertical component of vector C = Csin(45°)
= 30sin(45°)
= 21.21 units
Horizontal component of vector C = Ccos(45°)
= 30cos(45°)
= 21.21 units
Vertical forces = A + Bsin(45°) - Csin(45°)
= 20 + 28.28 - 21.21
= 27.07
Horizontal forces = Bcos(45°) + Ccos(45°)
= 28.28 + 21.21
= 49.49 units
b). Magnitude of resultant force = \(\sqrt{(27.07)^2+(49.49)^2}\)
= \(\sqrt{3182.045}\)
= 56.41 units
c). Direction of the resultant force → Along vector B (at an angle of 45° from the horizontal line)
Can someone please illustrate how the refracted ray will look like?
Answer
As the angle of incidence increases in Figure 2.8, a point is finally reached where the refracted ray does not emerge at the second layer but lie along the interface. This particular angle of incidence at which the angle of refraction is 90° and the refracted ray lies along the interface is known as the critical angle. At and beyond the critical angle, there is no transmitted ray and therefore a very high reflected ray will be recorded .
Therefore,
sinθisin90=Vp1Vp2
But, sin 90 = 1.
At critical angle,
sinθcritical=Vp1Vp2
A critical refracted wave travels along the interface between layers and is refracted back into the upper layer at the critical angle. The waves refracted back into the upper layer are called head waves or first-break refractions because at certain distances from a source, they are the first arriving energy. Recorded first-break refraction is shown in Figure 2.10.
Note that these first-break refractions can give us important information about the shallow velocities on land seismic data.
Note also that seismic data are acquired in such a way that reflections from horizons of interest are in the pre-critical region, even at the farthest offset in the data.
In reality, part of the seismic energy arriving at an interface is transmitted and refracted, and another part of the energy is reflected at that same interface. Given that there are many reflectors in the subsurface, there will be many paths from source to receiver, each of them with a different travel time. The proportion of energy reflected depends on the material properties of the two bounding layers and on the angle of incidence
what is the best .io game ever i will give brainlest
Answer:
starve.io
Explanation:
it's better and the pvp is good or moonoo.io
∆E°' calculation for FADH2 oxidation
∆E°' for Overall Reaction of Oxidative Phosphorylation - starting from FADH2:
Combine these two Half reactions and Calculate ∆E°'. Remember that ∆E°' is in VOLTS = Joules/Coulomb so it is energy PER electron! You do NOT multiple by the number of electrons at this point (we do that next, when we calculate ∆G°').
Find the Reduction potentials from the Table above for the half reaction. Turn one of them around so you get a POSTIVE (= favorable) ∆E°':
FAD + 2H+ + 2e- --> FADH2 E°' = 0
O2 + 4H+ +4e- --> 2H2O E°' = +0.82
Give ∆E°' in Volts (just enter a number - no units!)
Reflection: does the sign of ∆E° tell you this is a favorable or unfavorable process?
The ∆E°' for the overall reaction of FADH₂ oxidation is +0.82 V.
To calculate ∆E°' for the overall reaction of FADH₂ oxidation in oxidative phosphorylation, we need to combine the two half-reactions and determine the overall reduction potential (∆E°').
The half-reactions involved are:
1. FAD + 2H+ + 2e- --> FADH₂ with E°' = 0
2. O₂ + 4H+ + 4e- --> 2H₂O with E°' = +0.82
To calculate ∆E°', we need to subtract the reduction potential of the anode (oxidation half-reaction) from the reduction potential of the cathode (reduction half-reaction). In this case, the oxidation half-reaction is
FADH₂ --> FAD and the reduction half-reaction is O₂ --> H₂O.
∆E°' = E°' (cathode) - E°' (anode)
= (+0.82 V) - (0 V)
= +0.82 V
The sign of ∆E°' tells us whether the process is favorable or unfavorable. In this case, since the ∆E°' is positive (+0.82 V), it indicates that the overall reaction of FADH₂ oxidation is favorable. A positive ∆E°' implies that the reaction has a spontaneous electron flow from the anode to the cathode, indicating a favorable redox process.
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what is the name of the operator that when applied to an electronic wavefunction returns information about the total energy (kinetic and potential) of the electron?
The operator that provides information about the total energy of the electron when applied to an electronic wavefunction is the Hamiltonian operator. It combines the kinetic energy operator and the potential energy operator to give a comprehensive picture of the electron's energy.
The operator that when applied to an electronic wavefunction returns information about the total energy (kinetic and potential) of the electron is called the Hamiltonian operator. This operator is denoted by the symbol H.
The Hamiltonian operator represents the total energy of the system and is a combination of the kinetic energy operator and the potential energy operator.
The kinetic energy operator, T, accounts for the energy associated with the motion of the electron, while the potential energy operator, V, accounts for the energy associated with its interaction with its surroundings, such as an atomic nucleus or an external electric field.
When the Hamiltonian operator is applied to the wavefunction, it yields the total energy of the electron. Mathematically, this can be represented as:
H ψ = (T + V) ψ
Where ψ represents the wavefunction of the electron.
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A small telescope has a concave mirror with a 2.4 m radius of curvature for its objective. Its eyepiece is a 4.4 cm focal length lens.
a. What is the telescope’s angular magnification?
b. What angle (in degrees) is subtended by a 25,000 km diameter sunspot? Assume the sun is 1.50 × 108 km away.
c. What is the image angular size (in degrees) in this telescope?
a. The angular magnification of a telescope is given by the ratio of the focal length of the objective lens to the focal length of the eyepiece lens. Using the given values, we have:
M = -f_obj / f_ep = -2.4 m / 0.044 m ≈ -54.55
The negative sign indicates that the image is inverted.
b. To calculate the angle subtended by the sunspot, we need to use the small angle approximation:
θ = D / d
where θ is the angle subtended by the sunspot, D is its diameter (25,000 km), and d is the distance between the telescope and the sun (1.50 × 10^8 km). We can convert the diameter to meters and the distance to centimeters for consistency:
θ = (25,000 km * 1000 m/km) / (1.50 × 10^8 km * 100 cm/m) ≈ 0.167 radians
To convert this to degrees, we multiply by 180/π:
θ ≈ 9.57 degrees
c. The image angular size is given by the ratio of the image size to the distance between the telescope and the object. Since the telescope forms an inverted image, the image is virtual and located on the same side of the lens as the object.
Using the thin lens equation and the angular magnification equation, we can find the image size and distance:
1/f_ep = 1/f_obj - 1/d_obj
d_img = -d_obj / M
where d_obj is the distance between the telescope and the object (the sun in this case). Using the given values and the thin lens equation, we can solve for d_obj:
1/0.044 m = 1/(-2.4 m) - 1/d_obj
d_obj ≈ 2.55 × 10^11 m
Then, using the angular magnification equation, we can find d_img:
d_img = -d_obj / M ≈ 4.68 × 10^9 m
Finally, we can calculate the image angular size using the small angle approximation:
θ_img = D_img / d_img
where D_img is the image size. Since the sunspot is about 25,000 km in diameter, we can assume that the whole sun has the same angular size and use its diameter (1.39 × 10^6 km) instead:
θ_img = (1.39 × 10^6 km * 1000 m/km) / (4.68 × 10^9 m) ≈ 0.297 arcseconds
To convert this to degrees, we divide by 3600:
θ_img ≈ 8.25 × 10^-5 degrees
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Create a chart that describes the disease of the species you have chosen. Include a description of the causes, risk factors, symptoms, treatment, prevention, and prognosis of the disease.
Then, create a disease-control program, with a list of 12 things the farmer or rancher should do to keep their herd or flock healthy.
It's not physics it is animal systems.
The specie I have chosen is goat. The description is given below
The common diseases of goats?The Diseases of Goats are
RabiesContagious EcthymaRingworm Anthrax Tetanus, salmonellosis, etc.Among the disease, the one i will emphasize on is Rabies.
The causes of rabies in goat: This is due to a goat been infected from a bite gotten from another infected animals.
The risk factor of rabies in goat: risk factor of rabies in goat is that the animal may or will looks ill or displays some kind of abnormal behavior.
The symptoms of rabies in goat: The Symptoms in goats when they have rabies is aggressive behavior, bleating too often, and salivation, depression, weakness, and others.
The treatment of Rabies: There is no commercial vaccines that has been approved for use in goats, but vaccination is said to be the right recommendation and it is the one that most veterinarians for rabies use to prevent rabies on goats.
What is the prognosis of rabies?The cases of Rabies attack is said to be very fatal in a lot of cases, and usually occur within 3-10 days after the symptoms has appeared. The right and proper measures should be taken before and after the goat is bitten or attacked, this rabies attack in goat can be prevented in a lot of cases.
The ways farmer or rancher should keep healthy herd or flock healthy are:
Always keep a hygienic environment that is cleaned daily.Do make sure that there one is following the right stocking density.Do Clean and also disinfect areas of the house that is contaminated.Daily try and empty and also clean the feeders and water troughs.Do stop or avoid carrying or bringing in new disease by using biosecurity measures.Do hinder animals getting sick by trying to optimize husbandry and management on the farm.Create a kind of health plan for the animals with your vet where there is a vaccination protocols when necessary.Always engage in constant animal disease testing.Observe, diagnose and treat any sick or infected animals in the right way. Do Isolate or remove infected and sick animals from the group of animals.Always employ the use of clean and disinfected equipment.Do use different equipment for any group of animals.Learn more about Rabies from
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a circus performer launches himself from a springboard with an initial velocity of 21 m/s at an angle of 75 toward a platform hanging 20 m above the ground, a horizontal distance of 15 m away from the springboard. does he land on the platform or fall back down to the ground?
Answer:
The circus performer falls back down to the ground
Explanation:
The question parameters are;
The initial velocity of the circus performer = 21 m/s
The angle in which the performer launches himself = 75° towards the platform
The height of the platform above the ground = 20 m
The horizontal distance of the platform from the springboard = 15 m
The vertical motion of the circus performer is given by the following projectile motion relation;
y = y₀ + v₀·sinθ₀t-1/2·g·t²
Where;
y = Height reached by the circus performer
y₀ = Initial height of the the circus performer (the springboard) = 0 m
v₀ = Initial velocity of the the circus performer = 21 m/s
θ₀ = The angle with which the circus performer launches himself = 75°
t = The time of ,light of the circus performer
g = The acceleration due to gravity
Therefore, when the height is 20 m, we have;
20 = 21*sin(75)*t - 1/2*9.81*t²
Which gives;
21*sin(75)*t - 1/2*9.81*t² - 20 = 0
Factorizing using a graphing calculator, gives;
t = 1.623 or t = 2.513
Therefore, the circus performer passes the 20 m mark twice, in his motion, where the first time is when he is on his way up while the second time is when he is on his way down
The horizontal motion of the circus performer is given by the following projectile motion relation;
x = x₀ + v₀*cos(θ₀)* t
Where;
x₀ = The initial position of the circus performer in relation to the final position = 0
Plugging in the value of t when y = 20, we get;
x = 21×cos(75)×1.623 = 8.82 m, which is less than the 15 m platform distance from the spring board
Checking the other time value, we have;
x = 21×cos(75)×2.513 = 13.66 m which is also less than the 15 m platform distance from the spring board
Therefore, the circus performer misses the platform and falls back down to the ground.
Which is NOT a way to stay safe from static electricity?
a lightning rod on a building
a metal spike in an airport runway
a run through an open field during a lightning storm
an anti-static chain on a large truck
Answer: C is correct :)
Explanation:
Select ALL that describe what the atmosphere does for the earth.Atmosphere is a layer of gases that surround the earth.
Absorbs energy from sun
Protects and supports life
Recycles water and other chemicals
Protects life from high energy radiation and frigid vacuum of space
Answer:
A, B, C, E
Explanation:
The atmosphere does not recycle water and other chemicals
what are the invisible forces of nature
Answer:
Gravity, Friction, Air resistance, magnetism, static electricity
Explanation:
Answer:
gravity friction air resistant are a few
A 15.0 kg crate, initially at rest, slides down a ramp 2.0 m long and inclined at an angle of 20.0° with the horizontal. Using the work-kinetic energy theorem and disregarding friction, find the
velocity of the crate at the bottom of the ramp. (g = 9.81 m/s?)
The component of the crate's weight that is parallel to the ramp is the only force that acts in the direction of the crate's displacement. This component has a magnitude of
F = mg sin(20.0°) = (15.0 kg) (9.81 m/s^2) sin(20.0°) ≈ 50.3 N
Then the work done by this force on the crate as it slides down the ramp is
W = F d = (50.3 N) (2.0 m) ≈ 101 J
The work-energy theorem says that the total work done on the crate is equal to the change in its kinetic energy. Since it starts at rest, its initial kinetic energy is 0, so
W = K = 1/2 mv ^2
Solve for v :
v = √(2W/m) = √(2 (101 J) / (2.0 m)) ≈ 10.0 m/s