Answer: Solar
Explanation: This is simple enough the only one of these options that do not require a pump or power plant is solar which is usually attained with a non-moving solar panel
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Determine the magnitude of current in the 6 Ω resistor shown in Figure 3 if emf 1 has
an internal resistance of 1 Ω and emf 2 has an internal resistance of 0.2 Ω.
The magnitude of current in the 6Ω resistor is 0.72A.
EMF stands for electromotive force, which is the energy supplied by a source (such as a battery or generator) per unit of charge that passes through it, measured in volts. It represents the potential difference between the two terminals of the source when it is not connected to any circuit.
From the circuit diagram, we can see that the current flowing through the 6Ω resistor can be found by using Ohm's Law:
V = IR
where V is the voltage across the 6Ω resistor, I is the current flowing through it, and R is the resistance of the resistor.
To find V, we need to use Kirchhoff's Voltage Law (KVL) to determine the total voltage drop across the circuit. Starting from the top left corner and moving clockwise, we have:
V1 (emf) = IR1 + V2 (emf)
V2 (emf) - IR2 - IR1 = 0
Substituting V2 = -IR2 - 0.2I (since emf 2 has an internal resistance of 0.2Ω) into the first equation, we get:
V1 = I(R1 + R2 + 1) + 0.2I
Simplifying, we get:
V1 = I(7Ω) + 0.2I
Now we can solve for I:
I = V1 / (7Ω + 0.2Ω)
I = V1 / 7.2Ω
To find V1, we can use KVL again, starting from the bottom left corner and moving clockwise:
V1 - IR1 - V2 = 0
V1 - IR1 - (IR2 + 0.2I) = 0
Substituting V2 = -IR2 - 0.2I, we get:
V1 = I(R1 + R2 + 0.2) = I(7.2Ω)
Now we can substitute this expression for V1 into the equation for I:
I = (I(7.2Ω)) / (7Ω + 0.2Ω)
Simplifying, we get:
I = 0.72A
Therefore, the magnitude of current in the 6Ω resistor is 0.72A.
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A blue car of length 4.52 m is moving north on a roadway
that intersects another perpendicular roadway. The width of the intersection from near edge to far edge is 28.0 m. The blue car has a constant acceleration of magnitude 2.10 m/s2 directed south. The time interval required for the nose of the blue car to move from the near (south) edge of the intersection to the north edge of the intersection is 3.10 s. (a) How far is the nose of the blue car from the south edge of the intersection when it stops? (b) For what time interval is any part of the blue car within the boundaries of the intersection? (c) A red car is at rest on the perpendicular
intersecting roadway. As the nose of the blue car enters the intersection, the red car starts from rest and accelerates east at 5.60 m/s2. What is the minimum distance
from the near (west) edge of the intersection at which the nose of the red car can begin its motion if it is to enter the intersection after the blue car has entirely left the intersection? (d) If the red car begins its motion at the position given by the answer to part (c), with what speed does it enter the intersection?
The distance of the blue car from the edge of the intersection, when it stops, is 35.9 m, the time interval of the blue car within the boundaries of the intersection is 4.04 s, the minimum distance is 45.8 m, and the speed of the car is 22.6 m/s.
From the given,
A) the distance of the blue car from the south edge of the intersection when it stops =?
The width of the intersection = 28m
Acceleration = -2.10 m/s²
time interval = 3.10 s
By using the equation
x = x₀ + v₀t + 1/2 (at²)
28 = 0 + v₀(3.10) + 1/2 (-2.10 ×(3.10)²)
v₀ = 12.3 m/s
v² = v₀² + 2a (x-x₀)
(x-x₀) = Δx = v²-v₀² / 2a
Δx = 35. 9m
B) the time interval=?
distance covered by the blue car = 4.52 + 28 = 32.52 m
By using the relation,
x = x₀ + v₀t + 1/2 (at²)
32.52 = 0 + (12.3)t + 1/2 (-2.10)t²
-1.05t²+12.3t-32.52 = 0
This is the quadratic equation. By solving it, time t= 4.04s,7.66s. The desired time is t = 4.04 s, and the tail of the blue car leaves the intersection.
C) the minimum distance is=?
x = x₀ + v₀t + 1/2 (at²)
= 0 + 0 + 1/2 (5.60 (4.04)²)
= 45.8 m
The minimum distance of the blue car is 45.8m
D) speed of the car=?
the velocity equation
v = v₀ + at
= 0 + (5.60 ×4.04)
= 22.6 m/s
The velocity of the car is 22.6 m/s.
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The Children's Health Insurance Program (CHIP) is designed to:
A. provide low-cost health coverage to children in families that earn
too much for Medicaid.
B. enable families with children to compare the costs of health care
plans.
C. enable families to find medical professionals for their children
within their health care network.
D. provide low-cost health coverage to children in families that
receive Medicare.
SUBMIT
The Children's Health Insurance Program (CHIP) is designed to provide low-cost health coverage to children in families that receive Medicare.
Hence option D is correct.
The Children's Health Insurance Programme (CHIP) offers medical care to children under the age of 18 whose parents earn too much to qualify for Medicaid but not enough to pay for private coverage. CHIP was enacted by Congress during the Clinton administration in 1997.
The Children's Health Insurance Programme (CHIP) is a federal healthcare programme in the United States that is handled and designated differently by each state. For example, New York's programme is known as Child Health Plus, whereas Arkansas' programme is known as ARKids.
The federal government distributes matching funding to each state, similar to how Medicaid operates.
Hence option D is correct.
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A 250 kg cart starts from rest and rolls down an inclined plane from a height of 550 m. Determine its speed at a height of 125 m above the bottom of the incline. Please round to two decimal places.
Answer:
24.85 m/s.
Explanation:
PE = mgh = 250 kg x 9.81 m/s^2 x 550 m = 1,358,725 J
PE' = mgh' = 250 kg x 9.81 m/s^2 x 125 m = 308,062.5 J
PE = KE
1,358,725 J = 0.5mv^2
Solving for v, we get:
v = sqrt(2PE/m) = sqrt(2 x 1,358,725 J / 250 kg) = 59.15 m/s (rounded to two decimal places)
PE' + KE' = PE + KE
Since the cart starts from rest at the top of the incline, KE = 0. Therefore:
PE' = KE'
mgh' = 0.5mv'^2
Solving for v', we get:
v' = sqrt(2gh') = sqrt(2 x 9.81 m/s^2 x 125 m) = 24.85 m/s (rounded to two decimal places)
Therefore, the speed of the cart at a height of 125 m above the bottom of the incline is 24.85 m/s.
A beaver runs at a speed of 2.0 m/s with 45 J of kinetic energy. What is the beaver’s mass?
A beaver runs at a speed of 2.0 m/s with 45 J of kinetic energy, then the mass is approximately 1.74 kg, and this can be calculated by using the kinetic energy (KE) of an object that is KE = (1/2) ×m × [tex]v^2[/tex].
KE = (1/2) ×m × [tex]v^2[/tex].
where m= mass of the object, v=its velocity.
The beaver runs at a speed of 2.0 m/s with 45 J of kinetic energy. Substituting these values into the above equation
45 J = (1/2) ×m × [tex](2.0 m/s)^2[/tex]
Simplifying this equation:
45 J = (1/2) × m × 4.0[tex]m^2/s^2[/tex]
45 J = 2 m × 2 [tex]m^2/s^2[/tex]
45 J = 4 [tex]m^3/s^2[/tex]
[tex]m^3[/tex] = 45 J / 4 [tex]s^2[/tex]
[tex]m^3[/tex] = 11.25 kg×[tex]m^2/s^2[/tex]
Taking the cube root of both sides to solve for mass,
m = (11.25 kg×[tex]m^2/s^2)^(^1^/^3^)[/tex]
m = 1.74 kg (rounded to two decimal places)
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A work done of 50 μJ happen to a charge that is 6 nC. Calculate the voltage.
A hurricane travels a distance of 20 miles in 1 hour. Determine the hurricanes velocity.
Answer:
the answer is 20mi/hr
Explanation:
An acorn falls from rest from the top of a 19m tall oak tree. How long does it take for the acorn to fall to the ground? How fast is the acorn going before it hits the ground?
Answer:
We can solve this problem using the kinematic equation:
y = 1/2 * g * t^2
where y is the height of the tree, g is the acceleration due to gravity (9.8 m/s^2), and t is the time taken to fall to the ground.
We can solve for t using:
t = sqrt(2y/g)
Plugging in the values, we get:
t = sqrt(2(19)/9.8)
t = 2.19 seconds
So, it takes 2.19 seconds for the acorn to fall from the tree to the ground.
To find the velocity of the acorn just before it hits the ground, we can use:
v = g * t
Plugging in the values, we get:
v = 9.8 * 2.19
v = 21.46 m/s
So, the acorn is going approximately 21.46 m/s just before it hits the ground.
Explanation:
An object travels at a constant speed of 10m/ s for 10s. During the next 5s, it accelerates
uniformly to 20m/ s.
0
20
10
0
5 10 15
speed
m/ s
time / s
What is the total distance travelled by the object?
A 150m B 175m C 200m D 300
The total distance travelled by the object is 175 m.
option B.
What is the total distance travelled by the object?The total distance travelled by the object is calculated by applying the following kinematic equation as shown below;
Total distance = area rectangle + area of triangle
Total distance = (15 s - 0 s) x (10 m/s - 0 m/s) + ¹/₂(5s)((10 m/s)
Total distance = (15s)(10 m/s) + (5s )(5 m/s)
Total distance = 150 m + 25 m
Total distance = 175 m
Thus, the total distance travelled by the object is sum of all the distance covered from 0 second to 15 seconds.
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Jason's heartbeat is measured to be 65 beats per minute.
What is the frequency of heartbeats in hertz?
What is the period for each heartbeat in seconds?
Answer:
To find the frequency of heartbeats in hertz, we need to convert the beats per minute (BPM) to beats per second (BPS), since frequency is measured in hertz (Hz) which is equivalent to cycles per second.
Frequency = BPM / 60
Frequency = 65 / 60
Frequency ≈ 1.083 Hz
To find the period for each heartbeat in seconds, we need to find the reciprocal of the frequency, which gives the time duration for one complete cycle.
Period = 1 / Frequency
Period = 1 / 1.083
Period ≈ 0.922 seconds per beat
A 150kg diver jumps off a diving board and hits the water at 40 m/s
What is the kinetic energy of the diver entering the water?
This is an exercise in kinetic energy, which is a form of energy associated with the movement of an object and its speed. It is important in many areas of physics, from classical mechanics to modern physics. This form of energy can be transformed into other forms of energy, such as thermal energy, sound energy or electrical energy. The formula for calculating kinetic energy is KE = m * v^2/2, where m is the mass of the object and v is its speed.
Kinetic energy is a fundamental concept in classical mechanics. It is used to analyze the movement of objects and calculate the amount of work required to stop them. When an object is in motion, it has kinetic energy, which is equal to half its mass times its speed squared. If the object collides with another object, some of its kinetic energy is transferred to the second object in the form of work or heat.
Kinetic energy is also important in modern physics. In Einstein's theory of special relativity, the mass of a moving object increases with its speed, which means that its kinetic energy also increases. In fact, the kinetic energy of a moving object is a form of energy that is included in Einstein's famous equation E=mc^2, where E is the energy, m is the mass of the object, and c is the speed of light. . This equation shows how the mass of an object and its energy are related.
Kinetic energy is also important in quantum physics. In quantum mechanics, particles have a property called momentum, which is a measure of their motion. Momentum and kinetic energy are related, and experiments in quantum physics often measure the momentum and kinetic energy of particles.
It tells us that the diver has a mass of 150 kg, and that he jumps from a diving board into the water at a speed of 40 m/s.
They ask us what is the kinetic energy of the diver who enters the water?We know that the formula for kinetic energy is:
KE = m * v^2/2. We should not do the formula clearance, because we are going to calculate the kinetic energy.
We already know our data from the formula, now we substitute and solve, then
KE = (m × v²)/2
KE = (150 kg × (40 m/s)²)/2
KE = (150 kg × 1600 m²/s²)/2
KE = 120000 J
When the diver enters the water, the kinetic energy is 120,000 J.
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Answer:
The kinetic energy of the diver entering the water is 120,000 Joules.
Explanation:
The kinetic energy (KE) of an object is given by:
[tex]\sf\qquad\dashrightarrow KE = \dfrac{1}{2} * m * v^2[/tex]
where:
m is the mass of the objectv is its velocity.Plugging in the given values, we get:
[tex]\sf\qquad\dashrightarrow KE = \dfrac{1}{2} * 150\: kg * (40\: m/s)^2[/tex]
[tex]\sf\qquad\dashrightarrow KE = \dfrac{1}{2} * 150\: kg * 1600\: m^2/s^2[/tex]
[tex]\sf\qquad\dashrightarrow KE = \boxed{\bold{\:\:120,000\: J\:\:}}[/tex]
Therefore, the kinetic energy of the diver entering the water is 120,000 Joules.
Ice of mass 14.6 kg at 0°C is placed in an ice chest. The ice chest has 3.5 cm thick walls of thermal conductivity 0.01 W/m x K and a surface area of 1.21 m^2. Express your answers with appropriate mks units.
(a) How much heat must be absorbed by the ice during the melting process?
(b) If the outer surface of the ice chest is at 36° C, how long will it take for the ice to melt?
The heat absorbed by the melting ice is Q = 4,875,600 J.
How to solvea, Given mass (m) = 14.6 kg, then the heat absorbed by the melting ice is Q = 4,875,600 J.
This can be determined using Q = 14.6 kg × 334,000 J/kg.
b. By utilizing the equation P = (0.01 W/m × K × 1.21 m^2 × 36 K) / 0.035 m, we can determine that P equals 12.396 watts.
To discover how long it will take for the ice to melt, we can use another formula: t = Q / P.
With the given value of Q as 4,875,600 joules and P is equal to 12.396 watts, we find that t evaluates to roughly 393,292 seconds.
In order to transform this result into hours, simply divide by 3600 which leads us to t ≈ 109.25 hours.
Therefore, it is predicted that the ice will melt in approximately 109.25 hours.
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1. Determine the average of the three trials for each material.
Mystery A = ___30_______
Mystery B = ___2.8_______
In which material would light travel faster, Mystery A or Mystery B? Explain
2. As the index of refraction for the second medium is increased, what effect does this have on the angle of refraction? When it comes in at a lower angle, the ray bends more.
3. Write a conclusion for this lab.
The lab experiment found that light travels faster in Mystery A compared to Mystery B, with average speeds of 3.0 and 2.8, respectively. The increase in the index of refraction for the second medium led to a higher angle of refraction, resulting in light bending more. These findings have practical implications for optics and communications.
1. Light would travel faster in Mystery A since the average speed of light in Mystery A (3.0) is higher than Mystery B (2.8).
2. Increasing the index of refraction for the second medium leads to an increase in the angle of refraction. When light comes in at a lower angle, it bends more.
3. In conclusion, this lab experiment showed that the speed of light in a material is influenced by the material's index of refraction. Mystery A had a higher average speed of light compared to Mystery B, indicating that light travels faster in Mystery A. Additionally, the angle of refraction increased as the index of refraction for the second medium was increased. These findings have practical applications in the field of optics and communications.
Hence,The laboratory experiment discovered that, with average speeds of 3.0 and 2.8, respectively, light moves more quickly in Mystery A than Mystery B. Light bent more as a result of the second medium's increased index of refraction due to a higher angle of refraction. For optics and communications, these findings have real-world applications.
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*Calculation
An intensity level change of 1 dB correspond
s to what percentage change in intensity?
Answer:
An intensity level change of 1 dB corresponds to a 10% change in intensity.
Consider the circuit in the diagram below.
Circuit diagram showing a battery on the left leg, with the positive terminal towards the top. Across the top leg of the circuit, a switch is positioned to the left of center in the open or off position. On the right leg of the circuit, there is a capacitor. On the bottom leg of the circuit, there is a lightbulb to the right of center. Running vertically through the center of the circuit, there is another branch connecting the top leg and bottom leg. In the center of this leg, there is a switch in the open or off position.
If the switch at the top is moved to the closed or on position, what would best describe the flow of the conventional current?
The electricity would flow from the positive terminal of the battery in a clockwise direction.
The electricity would flow from the negative terminal of the battery in a counterclockwise direction.
The electricity would flow from the bottom of the capacitor around in a clockwise direction.
The electricity would flow from the top of the capacitor around in a counterclockwise direction.
If the switch at the top is moved to the closed or on position, the best description of the flow of conventional current would be " The electricity would flow from the positive terminal of the battery in a clockwise direction." The correct option is A.
This is because in a circuit, the conventional current flows from the positive terminal of the battery to the negative terminal of the battery. In this circuit, the positive terminal of the battery is connected to the top leg of the circuit, and the negative terminal is connected to the bottom leg of the circuit. When the switch at the top is closed, the current would flow from the positive terminal of the battery, through the switch, and down through the top leg of the circuit in a clockwise direction.
Option B is not true because the conventional current flows from the positive terminal to the negative terminal of the battery, not the other way around.
Option C is not true because the current would not flow through the capacitor until it is charged. At the moment the switch is closed, the capacitor is uncharged and acts like an open circuit, so the current would not flow through it.
Option D is not true because the current would flow from the positive terminal of the battery, through the switch, and down through the top leg of the circuit in a clockwise direction. It would not flow around the capacitor in a counterclockwise direction.
Hence, the correct answer is option A.
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How do scientists believe elements were originally formed?
Question 3 options:
Under high pressure in the ocean
Through the cooling of lava in volcanoes
Through fusion in stars
Through chemical burning reactions
Answer:
Scientists believe that elements were originally formed through fusion in stars.
Explanation:
Because lighter elements combine to form heavier ones under high temperatures and pressures, this process is known as nuclear fusion and occurs within stars' cores. When a star exhausts its fuel, it undergoes a supernova explosion that releases heavier elements into space, which can then be incorporated into new stars, planets, and other celestial bodies.
3) Vector A is 2.8 cm at 60° above the positive x-axis. Vector B is 1.90 cm at 60° below the
positive x-axis. Use components to find the following:
a) A + B
b) A -B
c) B-A
a) A + B: 3.9 cm, 0°
b) A - B: 0.9 cm, 60°
c) B - A: 0.9 cm, 240°
A complete circuit with a capacitor is turned on. What causes that potential energy produced?
The voltage difference across the capacitor.
The switch adds energy to the system through the capacitor.
The electrons are removed from one side of the capacitor and moved to the other side.
The current running through the wire causes the capacitor to heat up, raising the resistance of the wire.
The potential energy produced in a complete circuit with a capacitor is caused by the voltage difference across the capacitor.
A capacitor is an electrical component that stores electric charge. When a capacitor is connected to a complete circuit and a voltage is applied, it becomes charged. The voltage difference across the capacitor creates an electric field between its plates, which stores potential energy in the electric field.
As the capacitor charges, electrons accumulate on one plate, creating a negative charge, while the other plate becomes positively charged due to the loss of electrons. This separation of charge creates an electric potential difference (voltage) between the two plates of the capacitor.
The potential energy stored in the capacitor is directly proportional to the square of the voltage across it and the capacitance (C) of the capacitor, and is given by the formula:
Potential energy (PE) = (1/2) * C * V²
where V is the voltage across the capacitor.
As the voltage across the capacitor increases, more potential energy is stored in the electric field between its plates. When the circuit is turned off or the capacitor is discharged, this stored potential energy is released back into the circuit in the form of electrical energy. Capacitors play a crucial role in many electronic devices and circuits by providing energy storage and smoothing out voltage fluctuations.
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Select a character from the book and
choose two character traits that you
believe this character has. Describe
how the character has each of these
traits using information and
examples from your book that prove
that they do.
Within Chinua Achebe's novel entitled "Things Fall Apart", there lies a figure of paramount importance: Okonkwo.
How to explain the characterThis individual is marked by two fundamental traits - determination and an unyielding dread of revealing his vulnerability, for he places immense value in tradition and rampant masculinity.
His ironclad willpower fuels his ambitions to attain respect and success within his community, through unwavering persistence and ceaseless diligence. Empowered by his fearsome strength and exceptional valor on the battlefield, along with his gathering wealth and spouses, this man gradually rises above his peers in stature, receiving adoration and honor in return.
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 1.What did Ruskin write about Nocturne in Black and Gold: Falling Rocket?
2. How did Whistler defend his work in court? ( You need to mention the two paintings he brought with him to court.)
3. What was the outcome of the trial?
4. Why do you think the lawsuit was important in the history of art?
Answer:
Ruskin wrote a scathing review of James McNeill Whistler's painting Nocturne in Black and Gold: Falling Rocket, describing it as "flinging a pot of paint in the public's face." He criticized the painting for not being representative enough and lacking in artistic skill.Whistler defended his work in court by stating that he was not interested in creating a realistic depiction of the subject, but rather capturing the mood and atmosphere of the scene. He brought two other paintings, Nocturne in Blue and Silver and Harmony in Blue and Gold, to demonstrate his artistic style and prove that his intention was not to deceive the public.The outcome of the trial was a victory for Whistler, but he was only awarded a farthing in damages. The judge ruled that Ruskin's review did damage Whistler's reputation but only to a very small extent.The lawsuit was important in the history of art because it highlighted the changing attitudes towards art in the 19th century. Whistler's defense challenged the traditional idea of what art should be, which was based on realism and technical mastery. It paved the way for the emergence of modern art, which emphasized imagination and individual expression.Additionally, the trial drew attention to the importance of art criticism and the power of critics to influence public perception of art.
A proton is accelerated from rest through a potential difference of 91 V. Calculate the final speed of this proton.
Answer: v = 4.17 x 10^5 m/s
Explanation:
The potential difference (ΔV) is given as 91 V. The charge of the proton is given by q = 1.6 x 10^-19 C.The mass of the proton is given by m = 1.67 x 10^-27 kg. The acceleration due to gravity is given by g = 9.81 m/s^2. The final speed of the proton can be calculated as follows:
The potential energy gained by the proton (ΔU) can be calculated using the formula:
ΔU = qΔV
where
q = charge of the proton
ΔV = potential difference
Substituting the given values, we get:
ΔU = (1.6 x 10^-19 C) x (91 V) = 1.456 x 10^-17 J
The kinetic energy gained by the proton (K) can be calculated using the formula:
K = (1/2)mv^2
where
m = mass of the proton
v = final speed of the proton
The kinetic energy gained by the proton is equal to the potential energy gained by the proton. Therefore, we have:
K = ΔU = 1.456 x 10^-17 J
Substituting the given values, we get:
1.456 x 10^-17 J = (1/2) x (1.67 x 10^-27 kg) x v^2
Simplifying the equation, we get:
v^2 = (2 x 1.456 x 10^-17 J) / (1.67 x 10^-27 kg)
v^2 = 1.743 x 10^10 m^2/s^2
Taking the square root of both sides, we get:
v = 4.17 x 10^5 m/s
Therefore, the final speed of the proton is 4.17 x 10^5 m/s.
When a proton is accelerated from rest through a potential difference of 91 V then final speed of this proton is
A proton is a stable subatomic particle with a +1 e (elementary charge) positive electric charge. It has a little lower mass than a neutron and a mass that is 1,836 times that of an electron (the proton-to-electron mass ratio). Protons and neutrons, each with a mass of around one atomic mass unit, are referred to collectively as "nucleons" (particles found in atomic nuclei).
Potential energy of the proton gets converted into kinetic energy.
i.e. 1/2 mv² = qV
Where m is mass of the proton, v is velocity of the proton and q is charge on proton, V is potential difference.
Given,
mass of the proton m = 1.6 × 10⁻²⁷ kg
charge on proton q =1.6 × 10⁻¹⁹ C
P.D. V = 91 V
putting values in equation,
1/2× 1.6 × 10⁻²⁷ kg × v² = 1.6 × 10⁻¹⁹ C × 91 V
0.8 × 10⁻²⁷ v² = 145 × 10⁻¹⁹ C
v = 1.34 × 10⁵ m/s
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There are two resistors connected in parallel: R1-43 Ohms and R2-43 Ohms.
Determine the equivalent resistance. Round your answer to 2 significant digits only. For example, if the answer is 65.4 Ohms write 65.
If There are two resistors connected in parallel: R1-43 Ohms and R2-43 Ohms, then the equivalent resistance is 21.5Ω.
A resistor is a passive two-terminal electrical component used in circuits to implement electrical resistance. Resistors have a variety of purposes in electronic circuits, including lowering current flow, adjusting signal levels, dividing voltages, biassing active components, and terminating transmission lines. High-power resistors that can generate many watts of heat instead of electrical energy can be utilised as test loads for generators, power distribution systems, and motor controls. With temperature, time, or operating voltage changes, fixed resistors' resistances only slightly fluctuate. Variable resistors can be utilised as force sensors, heat sensors, light sensors, volume controls, lamp dimmers, humidity sensors, and chemical activity sensors.
The equivalent resistance in parallel combination is
R(p) = R₁R₂÷R₁+R₂
putting all values,
R(p) = 43×43÷(43+43)
R(p) = 21.5Ω
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A ball swings in a vertical circle at the end of a rope 1.50 m long. When the ball is 36.9° past the lowest point on its way up, its total acceleration is (-22.5i + 20.2j) m/s2 . For that instant, (a) sketch a vector diagram showing the components of its acceleration, (b) determine the magnitude of its radial acceleration, and (c) determine the speed and velocity of the ball.
(a) The vector diagram of the acceleration is attached.
(b) -13.5 m/s²
(c) speed is 2.95 m/s and velocity is (1.79 i + 2.95 j) m/s.
How to calculate magnitude, speed and velocity?(b) At the highest point, the velocity of the ball is horizontal and the acceleration is vertical. So, radial acceleration:
radial acceleration = ar = a sin(θ) = (-22.5 m/s²) sin(36.9°) ≈ -13.5 m/s²
(c) The speed of the ball using the conservation of energy equation:
mgh + (1/2)mv² = constant
where m = mass of the ball,
g = acceleration due to gravity,
h = height of the ball above the lowest point, and
v = speed of the ball.
At the lowest point, the speed of the ball is equal to the square root of 2gh, where h is the height of the ball above the lowest point. At the point where the ball is 36.9° past the lowest point, the height of the ball above the lowest point is:
h = L(1 - cos(θ)) = 1.5(1 - cos(36.9°)) ≈ 0.665 m
Therefore, the speed of the ball is:
v = √(2gh) = √(2g(L-h)) = √(2(9.81 m/s²)(1.5 - 0.665) m) ≈ 2.95 m/s
The velocity of the ball is tangential to the circle and is perpendicular to the radial acceleration. At the point 36.9°, tangential component of the total acceleration is:
at = a cos(θ) = (20.2 m/s²) cos(36.9°) ≈ 16.1 m/s²
The angular acceleration:
α = ar / L = (-13.5 m/s²) / 1.5 m ≈ -9 m/s²
Therefore, the speed and velocity of the ball are:
speed = v ≈ 2.95 m/s
velocity = (at / α) i + v j ≈ (1.79 i + 2.95 j) m/s
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5. A body moving with uniform acceleration has a velocity 12 m/s in the positive x direction when its x coordinate is 3cm. If its x coordinate 2 s later is -5 cm, what is the magnitude of its acceleration?
How does the orientation of the bar magnet affect the measured magnetic field strength?
When two magnets are close to each other, the magnets experience a repulsive or attractive force. The magnetic field strength is affected by the orientation of the magnet.
The direction in which the bar magnet obtains its maximum magnetic property is called the orientation of the magnet. The magnetic field strength depends on the orientation of the magnet.
The magnetic field lines emerge from the north pole and end in the south pole. When the two bar magnets of opposite poles face each other, an attractive force will be produced and magnetic field strength increases.
When the bar magnet of the same poles faces each other, repulsive force will produce and magnetic field strength decreases. Hence from the orientation of the bar magnet, the magnetic field strength gets affected.
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Bending is a winter sport in which participants push a 15 kg rock across a horizontal snow patch. In 3.0 seconds, a bender accelerates a rock from rest to 4.0 m/s. What is the average power of the bender for accelerating the rock?
Most meteorites that enter the Earth's atmosphere burn up before they reach the Earth itself. When this happens, lots of energy is transferred from the meteorites' __________ energy stores very quickly. What one word completes the sentence
Most meteorites that enter the Earth's atmosphere burn up before they reach the Earth itself. When this happens, lots of energy is transferred from the meteorites' kinetic energy stores very quickly.
The kinetic energy storage of meteorites are communicated to the surrounding environment as heat, sound, and light energy.
A meteorite penetrates the atmosphere of the Earth. Friction acts on the meteorite when it reaches the Earth's atmosphere. When a meteorite enters the Earth's atmosphere, it gains kinetic energy. The meteorite catches fire due to friction. At this time, the meteorite's kinetic energy will be transformed into heat energy, sound energy, and light energy.
Hence kinetic word word completes the sentence.
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Questions (complete sentences)
1. Determine the average of the three trials for each material.
Mystery A = ___30_______
Mystery B = ___2.8_______
In which material would light travel faster, Mystery A or Mystery B? Explain
2. As the index of refraction for the second medium is increased, what effect does this have on the angle of refraction? When it comes in at a lower angle, the ray bends more.
3. Write a conclusion for this lab.
The average of the three trials for
Mystery A = 30 and for Mystery B = 2.8.
1. To determine which material would allow light to travel faster, we need to compare their respective indices of refraction. The index of refraction is defined as the ratio of the speed of light in a vacuum to the speed of light in the medium. A higher index of refraction means that light travels slower in that medium.
Therefore, if Mystery A has a lower index of refraction than Mystery B, then light would travel faster in Mystery A. Conversely, if Mystery B has a lower index of refraction than Mystery A, then light would travel faster in Mystery B.
2. As the index of refraction for the second medium is increased, the angle of refraction decreases. This is because the speed of light is slower in a medium with a higher index of refraction, causing it to bend more as it enters the medium.
The relationship between the angle of incidence, angle of refraction, and indices of refraction is described by Snell's law, which states that n1 sin(theta1) = n2 sin(theta2), where n1 and n2 are the indices of refraction of the two media, and theta1 and theta2 are the angles of incidence and refraction, respectively.
3. This lab explored the properties of light as it travels through different materials with varying indices of refraction. By measuring the angles of incidence and refraction, we were able to calculate the indices of refraction for two mystery materials. Through further analysis, we determined which material allowed light to travel faster. This lab helped us to better understand the behavior of light as it interacts with different materials, and reinforced the importance of the index of refraction in determining the speed of light in a given medium.
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The same collision as in Question 5 takes place, only this time the car and the truck bounce off each other completely elastically What are the final velocities of the car and truck just after the collision?
The final velocities of the car and truck just after the collision will be as per the conservation of momentum.
Momentum is defined as product of mass and velocity of the body. It is denoted by letter p and it is expressed in kg.m/s. Mathematically p = mv. it discuss the moment of the body. body having zero mass or velocity has zero momentum. The dimensions of the momentum is [M¹ L¹ T⁻¹].
According to conservation of momentum, Initial momentum will be equal to the final momentum. In the elastic collision there is no loss of energy, both energy and momentum is conserved.
if the the car is coming with velocity equal to the mass of the truck and truck is coming with mass of the car, then they have same momentum in opposite direction when they collide each other the final velocity of both car and truck becomes zero.
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a block of mass m is at rest on the table .is it possible for this block at rest to have only a single force acting on it
Answer:
In short no , there is always minimum 2 forces.
Explanation:
First force: Weight force ( The force of gravity on the object attracting the block of masse m to earth)
Second force: Normal reaction ( This force is perpendicular to the surface )
Answer:
no
Explanation:
if only single force acts on the block it will stay at rest and it will accelarate in direction of force