The minimum distance between all nodes is 750.Straight lines are the shortest path between any two places. The formula for measuring distance can be used to get this distance.
What does "shortest path" mean?The goal of the shortest-route issue is to determine the shortest path between two points. Finding the shortest route between one network node and each of the other nodes is commonly required. The shortest-route method reduces the length of a network's path.
How is the minimum distance calculated?The formula for the distance between two points (x 1, y 1) and (x 2, y 2) is d = (x 2, x 1) 2 + (y 2, y 1) 2.
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Lab Report Sun, Earth, and Moon Models It’s time to complete your Lab Report. Save the lab to your computer with the correct unit number, lab name, and your name at the end of the file name (e.g., U5_ Lab_SunEarthAndMoonModels_Alice_Jones.doc). Introduction 1. What was the purpose of the investigation? Type your answer here: 2. What causes the bright part of the moon to appear bright? Type your answer here: Experimental Methods 1. What materials did you use to create your model? Type your answer here: 2. Describe how you created your model. Type your answer here: Develop a Model 1. Show your model and the relationships between the components. Include labeled pictures or diagrams that describe causal accounts for the phases of the moon and eclipses. Type your answer here: Use a Model 1. Use your model to predict the relative positions of the earth, sun, and moon when the moon is full. Type your answer here: 2. Use your model to explain why a lunar eclipse does not occur every month when there is a full moon. Type your answer here:
1. The purpose of the investigation was to study the relationship between the Sun, Earth, and Moon.
2. The bright part of the moon appears bright due to the reflection of sunlight.
Introduction: The purpose of the investigation was to study the relationship between the Sun, Earth, and Moon. By creating models of the three celestial bodies, we aimed to understand how their movements and positions influence the phases of the moon and eclipses.The bright part of the moon appears bright due to the reflection of sunlight. As sunlight hits the moon's surface, it bounces back and reflects into space. This reflected light is what we see as the bright part of the moon.
Experimental Methods: To create our model, we used a lamp to represent the Sun, a ball to represent the Earth, and a smaller ball to represent the Moon. We also used a ruler, tape, and a protractor to measure distances and angles.We created our model by placing the lamp at one end of a table, the Earth in the middle, and the Moon at the other end. We attached the Moon to a string and moved it around the Earth to simulate the Moon's orbit around the Earth.
Develop a Model: Our model consists of a lamp, a ball, and a smaller ball on a string. The lamp represents the Sun, the ball represents the Earth, and the smaller ball on the string represents the Moon. As the Moon moves around the Earth, it goes through phases, from a new moon to a full moon and back again.We used diagrams and pictures to label the components of our model and describe causal accounts for the phases of the moon and eclipses.
Use a Model: When the Moon is full, it is in a direct line with the Earth and the Sun. Using our model, we can predict that the Moon would be directly opposite the Sun in the sky during a full moon. A lunar eclipse does not occur every month when there is a full moon because the Moon's orbit around the Earth is tilted at an angle of about 5 degrees to the Earth's orbit around the Sun. Therefore, the Moon is not always in a direct line with the Earth and the Sun during a full moon, which is necessary for a lunar eclipse to occur.
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What is normalization
Answer:
Normalization is a systematic approach of decomposing tables to eliminate data redundancy. It is a multi-step process that puts data into tabular form, removing duplicated data from the relation tables.
Explanation:
Answer:
the process of bringing or returning something to a normal condition or state.
Explanation:
In "your own words"- Normalization is when you change something back into it's average form.
In the image which element is the most massive ?
Answer:
fluorine
Explanation: it has the largest mass number which is almost rounded to 19.
You and some friends visit the Florida State Fair and decide to play a game. To play the game you must slide a metal hockey-type puck up a wooden ramp so that it drops through a hole at the top of the ramp. Your prize, if you win, is a large, stuffed gorilla. You realize the secret to winning is giving the puck just enough velocity at the bottom of the ramp to make it to the hole. You estimate the distance from the bottom of the ramp to the hole at about 3 m, and the ramp appears to be inclined with an angle of 10o from the horizontal. You just got out of physics class and recall the coefficient of static friction between steel and wood is 0.1 and the coefficient of kinetic friction between steel and wood is 0.08. The mass of the puck is about 1 kg. You decide to impress your friends by sliding the puck at the precise speed on the first try so as to land it in the hole. You slide the puck at 2.0 m/sec. Do you win the stuffed poodle? Let g = 10 m/s2. Note: A slightly too hard throw will win since your aim is so good the puck would drop in the hole.
Answer:
No you didn't win the stuffed poodle
Explanation:
From the question we are told that
The distance of the ramp to the hole is d = 3 m \
The angle of inclination is \(\theta = 10^o\)
The coefficient of static friction is \(\mu_s = 0.1\)
The coefficient of kinetic friction is \(\mu_k = 0.08\)
The mass of the puck is m = 1 kg
The velocity of the first slide is \(v_1 = 2.0 m/s\)
Generally the kinetic energy at the bottom of the ramp is equal the energy loss due to friction and this can be mathematically represented as
\(\frac{1}{2} m * v^ 2 = \mu_k * [m * g] * cos (theta ) * d\)
=> \(\frac{1}{2} * v^ 2 = 0.08 * 9.8 * cos (10 ) * 3\)
=> \( v= 2.17 \ m/s \)
Comparing the relative velocity obtained and the velocity of your first throw we can see that you didn't win the stuffed animal
1. Ignoring air resistance, a 1.4 kg metal can was dropped from an unknown height. Just before it hits the ground, the metal can had a velocity of 3.8 m/s. Find the height the can was dropped from.
Answer:
The can was dropped from a height of 0.74 meters.
Explanation:
We can use the Conservation of Energy to evaluate the height.
The formula for the Conservation of Energy is
\(\frac{1}{2} mv^2=mgh\)
Lets solve for \(h\).
Cancel the common factor of \(m\).
\(\frac{1}{2} v^2=gh\)
Rewrite \(\frac{1}{2} v^2\) as \(\frac{v^2}{2}\) .
\(\frac{v^2}{2}=gh\)
Multiply both sides by 2.
\(v^2=2gh\)
Divide both sides by \(2g\).
\(\frac{v^2}{2g}=h\)
Numerical Evaluation
We are given
\(v=3.8\\g=9.81\)
Substituting our values into our equation for height gives us
\(h=\frac{3.8^2}{2*9.81}\)
Evaluate \(3.8^2\).
\(h=\frac{14.44}{2*9.81}\)
Multiply \(2\) and \(9.81\).
\(h=\frac{14.44}{19.62}\)
\(h=0.736235\)
Note: We also could have solved this using the kinematics equations. Both methods give you the same answer.
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Two charged particles are a distance of 1.72 m from each other. One of the particles has a charge of 8.01 nC, and the other has a charge of 4.22 nC.
a. The magnitude of the electric force that one particle exerts on the other is 1.72 millinewtons (mN). and b. the force is repulsive
To calculate the magnitude of the electric force between two charged particles, we can use Coulomb's Law, which states that the magnitude of the electric force (F) between two charged objects is given by:
F = k * (|q1| * |q2|) / r^2
where k is the electrostatic constant (k = 8.99 x 10^9 N·m^2/C^2), q1 and q2 are the charges of the particles, and r is the distance between them.
Given:
q1 = 8.01 nC (nanocoulombs)
q2 = 4.22 nC (nanocoulombs)
r = 1.72 m
Converting the charges to coulombs:
q1 = 8.01 x 10^-9 C
q2 = 4.22 x 10^-9 C
Plugging the values into Coulomb's Law:
F = (8.99 x 10^9 N·m^2/C^2) * ((8.01 x 10^-9 C) * (4.22 x 10^-9 C)) / (1.72 m)^2
Calculating the magnitude of the force:
F ≈ 1.72 x 10^-3 N
Therefore, the magnitude of the electric force that one particle exerts on the other is approximately 1.72 millinewtons (mN).
To determine if the force is attractive or repulsive, we need to consider the signs of the charges. If the charges have opposite signs (one positive and one negative), the force is attractive. If the charges have the same sign (both positive or both negative), the force is repulsive.
In this case, both charges are positive, so the force between them is repulsive. The particles will experience a repelling force due to their like charges, causing them to push away from each other.
The question was incomplete. find the full content below:
Two charged particles are a distance of 1.72 m from each other. One of the particles has a charge of 8.01 nC, and the other has a charge of 4.22 nC.
(a) What is the magnitude (in N) of the electric force that one particle exerts on the other?
(b) Is the force attractive or repulsive?
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A car slows from 95.0 km/hr to a stop in 4.0 s. What is the car's initial velocity in m/s?
The initial velocity of the car in m/s is 26.41 m/s
Data obtained from the question Initial velocity (u) = 95 Km/hFinal velocity (v) = 0 Km/h Time (t) = 4 sInitial velocity (m/s) =? How to determine the initial velocity in m/sWe can convert 95.0 km/hr to m/s as illustrated below:
1 km/h = 0.278 m/s
Therefore,
95 km/h = 95 × 0.278
95 km/h = 26.41 m/s
Thus, the initial velocity in m/s is 26.41 m/s
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A puffin accidentally drops a 0.3 kg fish from a height of 9 meters. What is the fish's GPE (in J) from this height?
Answer:
Therefore, the GPE of the fish from the given height is 26.19 J.
Explanation:
The gravitational potential energy (GPE) of an object at a height h is given by the formula:
GPE = mgh
where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object.
In this case, the mass of the fish is 0.3 kg, the height from which it was dropped is 9 meters, and the acceleration due to gravity on Earth is approximately 9.81 m/s². Thus, the GPE of the fish can be calculated as:
GPE = (0.3 kg) × (9.81 m/s²) × (9 m) = 26.19 J
Therefore, the GPE of the fish from the given height is 26.19 J.
I like puffins
the radiation that is least damaging to humans is
The radiation that is least damaging to humans is non-ionizing radiation.
What is non ionizing radiationNon-ionizing radiation refers to the type of radiation that does not have enough energy to remove tightly bound electrons from atoms or molecules, thus not causing significant damage to biological tissues.
Examples of non ionizing radiation include radio waves, microwaves, visible light and low energy ultraviolet (UV) radiation. while excessive exposure to any form of radiation can have adverse effects, non-ionizing radiation is generally considered to be less harmful compared to ionizing radiation, which includes X-rays and gamma rays.
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.......................is a force, measured in newtons.
Weight
Mass
Gravity
Answer:
Weight
Explanation:
If it is wrong then tell me to edit my answer
Put the numbers in the right box
Answer: 2134
Explanation:
I just had this question on my exam
What is the period of a blender blade that spins around 400 times in 5.0s
Answer:
f = 400 / 5 s = 80/sec frequency of revolution
P = 1/f = 1/(80/sec) = .0125 sec period of revolution
a defender running away from a goalkeeper at 5m/s is hit in the back by the goal kick. the ball stops dead and the players speed increases to 5.5m/s if the ball had a mass of 500g and the player mass is 70k how fast was the ball moving?
The goal kick strikes a defender racing at 5 m/s away from a goalkeeper in the back. The ball was moving at a speed of 70 m/s if it weighed 500g and the player's mass was 70k.
Why does the goalie in a football game pull his hands back after holding the ball that has been shot towards the goal?The goalkeeper extends the amount of time he has to hold the ball by pulling his hands back. He lessens the force (rate of change of momentum) the football exerts on him by lengthening the time.
Write the formula for momentum and define it.A vector quantity, momentum. A body's momentum is equal to P=m.v if it is travelling at a speed of v while having mass m. P=mv describes the magnitude of the momentum. Because momentum is a function of mass and velocity, its unit is the product of those two quantities.
By using conservation of momentum,
Initial momentum = Final momentum
(5 x 70) + (v x 0.5) = (5.5 x 70) + (0 x 0.5)
350 + 0.5v = 385 + 0
0.5v = 35
v = 70 m/s
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A man pulls a refrigerator using 48 N of force. The refrigerator accelerates 0.35 m/s2. What is the mass of the refrigerator?
Answer:
Explanation:
Formula
F = m * a
Givens
F = 48 N
a = 0.35 m/s^2
m = ??
Solution
F = m * a Substitute the givens
48 = m * 0.35 Divide by 0.35
48 / 0.35 = m *0.35/0.35
137.1 kg = mass
An amateur blacksmith wants to cool off a 42kg glowing piece of iron, specific heat 470and decides to toss it into a 5.0 kg iron bucket with 10.0 kg of room temperature(23 C) water in it. To his surprise the water completely evaporates away (meaning once it vaporizes it is no longer part of the system) and after some time he goes to pick up the bucket but finds that the bucket is at 150 C.
Required:
What was the initial temperature of the glowing piece of iron?
Answer:
The right approach is "1479°C".
Explanation:
The given values are:
Mass of iron piece,
\(m_p=42 \ kg\)
Mass of iron bucket,
\(m_I=5 \ kg\)
Mass of water,
\(m_w=10 \ kg\)
Iron's specific heat,
\(C_I=470 \ J/Kg^{\circ}C\)
Water's specific heat,
\(C_w=4186 \ J/Kg^{\circ}C\)
Initial temperature,
\(t_I=23^{\circ}C\)
Final equilibrium temperature,
\(T=150^{\circ}C\)
Latent heat,
\(L_v=2260\times 10^3 \ J/Kg\)
As we know,
The heat lost by the glowing piece of iron will be equal to the heat gain by the iron bucket as well as water, then
⇒ \(m_IC_I \Delta T=m_wC_w(100-23)+m_wL_v+m_bC_I(150-23)\)
On substituting the given values, we get
⇒ \(42\times 420\times \Delta T=10\times 4186(100-23)+10(2260\times 10^3)+5\times 420(150-23)\)
⇒ \(17640 \Delta T=3.22\times 10^6+2.26\times 10^7+2.667\times 10^5\)
⇒ \(\Delta T=\frac{2.60867\times 10^7}{17640}\)
⇒ \(\Delta T=1479^{\circ}C\)
A 1000 kg compact car stops without skidding on asphalt with a
coefficient of friction of 0.85. What is the stopping distance of the car if it was originally traveling at 27 m/s?
43.8 m
Explanation:
The only force acting on the car is the frictional force f and since friction is a force that is always directed opposite to the direction of motion, it will have a negative sign. Therefore, we can write Newton's 2nd law as
\(x:\;\;\;\;F_{net} = -f = -\mu N = ma\) (1)
\(y:\;\;\;\;F_{net} = N - mg = 0\) (2)
Substituting Eqn(2) into Eqn(1), we get
\(\Rightarrow a = -\mu g\) (3)
To find the stopping distance x, we are going to use the equation
\(v^2 = v_0^2 + 2ax\)
Initially, the car was moving at \(v_0 = 27\:\text{m/s}.\) When it stopped, its final velocity \(v\) is zero. Using these, as well as Eqn(3) on the equation for v^2, we find that
\(0 = v_0^2 + 2(-\mu g)x \Rightarrow 0 = v_0^2 - 2\mu gx\)
or solving for x,
\(x = \dfrac{v_0^2}{2\mu g} = \dfrac{(27\:\text{m/s})^2}{2(0.85)(9.8\:\text{m/s}^2)}\)
\(\:\:\:\:= 43.8\:\text{m}\)
Climate Change has been a hot topic in the news, politics, and science. To help clarify the issue, address the following:
1. Compare and contrast the terms "climate change" and "global warming"
2. Explain how burning fossil fuels contributes to climate change.
3. Explain concerns about the results of climate change.
2020 State of the Bay Summary PLS HELP PLS ILYSM IF U DO!!!!
What are your first feelings or impressions when looking at the tables above?
Which indicators do you believe are most important for the health of the Bay? Explain.
Chesapeake Bay Report Grade vs. Year Graph
From your viewpoint, 1) what does the graph reveal about the current state of the Chesapeake Bay? 2) Do you believe your community contributes to the Chesapeake Bay’s condition? Explain your answer.
There is likely to be eutrophication in the water
There are less turbid substances deposited in the water within the time.
The decrease of water grasses means the primary productivity reduced.
What does increase in nitrogen and phosphorus content mean for Chesapeake Bay ?An increase in nitrogen and phosphorus content in Chesapeake Bay can have significant environmental impacts. Chesapeake Bay is an estuary that is highly sensitive to nutrient pollution, which can cause the growth of harmful algal blooms and oxygen depletion in the water.
When excess nitrogen and phosphorus from fertilizers, animal waste, and sewage enter the Bay, they can cause an overgrowth of algae. As these algae die and decompose, they consume oxygen in the water, leading to low oxygen conditions known as "hypoxia" or "dead zones". This can harm fish, shellfish, and other aquatic life, and can also have economic impacts on the fishing and tourism industries.
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This Subject is Actually Science So Am Stuck On This Question
Q: Objects in orbit appear to be weightless because
Options:
a. they are weightless
b. they are in free fall
c. their mass becomes zero
d. the applied gravity force becomes zero
Answer:
b. they are in free fall
Explanation:
-
The Mars Rover Curiosity has a mass of 900 kg. Taking the gravitational field strength to be 9.8 N/kg
on Earth and 3.7 N/kg on Mars, give the value of the weight of the Rover on earth and mars
The weight of the Mars Rover Curiosity on Earth and on Mars is 8820 N and 3330 N respectively.
Weight of objects on Earth and on MarsThe weight of an object is given by the product of its mass and the gravitational field strength at its location.
On Earth:
Weight = mass x gravitational field strengthWeight = 900 kg x 9.8 N/kgWeight = 8820 NOn Mars:
Weight = mass x gravitational field strengthWeight = 900 kg x 3.7 N/kgWeight = 3330 NTherefore, the weight of the Mars Rover Curiosity on Earth and on Mars are 8820 N and 3330 N respectively.
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Sanjay and Ting, each with a mass of 25 kg, are riding opposite each other on the edge of a 150 kg, 3.0-m-diameter playground merry-go-round that's rotating at 15 rpm. Each walks straight inward and stops 35 cm from the center.
What is the new angular velocity, in rpm?
Express your answer in revolutions per minute.
The merry-go-round's new angular velocity is 0.321 rpm.
Calculation-
the system's overall angular momentum is:L = Iω
The moment of inertia of a solid disk rotating about its centre is given by:
\(I = (1/2)mr^2I = (1/2)(150 kg)(1.5 m)^2 = 168.75 kg·m^2\)
initial angular momentum of the system
L = Iω = \((168.75 kg·m^2)(15 rpm)(2π/60 s) = 52.36 kg·m^2/s\)
The new angular velocity is determined by:
L = I'ω'
where L represents the system's initial angular momentum.
The system's new moment of inertia is:
\(I' = I - 2mr^2\)
we get:
\(I' = 25 kg - 2(168.75 kg/m2)(0.35 m)^2 = 162.88 kg·m^2\)
We get the following by substituting into the conservation of angular momentum equation:
L = I'ω'
\((162.88 kg/m2) / 52.36 kg/m2\)
ω' = 0.321 rpm
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Which most likely has the greatest conductivity?
a warm plastic rod
a cool rubber tube
a cool lead metal strip
a warm copper wire
Answer:
Which most likely has the greatest conductivity?
a warm plastic rod
a cool rubber tube
a cool lead metal stripa warm copper wire
Explanation:
The warm copper wire most likely has the greatest conductivity.
What is conductivity?Conductivity is a measure of how easily a material can conduct electricity. Metals like copper are known for having high electrical conductivity due to the presence of free electrons that can move easily through the material when an electric field is applied.
Non-metallic materials like plastic and rubber generally have low electrical conductivity because they do not have free electrons available for conduction.
Additionally, the temperature of the material can also affect its conductivity. As temperature increases, the movement of atoms and molecules in the material also increases, which can cause a decrease in electrical conductivity.
Therefore, of the materials listed, the warm copper wire is most likely to have the greatest conductivity due to its metallic properties and elevated temperature.
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Select the only true statement:
A)A beam in bending experiences tensile stresses on one side and compressive stresses on the other side.
B)A beam in bending experiences tensile stresses along the beam center and compressive stresses along the beam’s edges.
C)A beam in bending experiences only compressive stresses.
D)A beam in bending experiences only tensile stresses.
Answer:
Sorry I dont know this answer sorry
The two formulas above give the Schwarzschild radius, R, of a black hole in terms of its mass, M. From Equation 1, verify Equation 2, which gives R in meters and M in kilograms, using c = 3x108 m/s for the speed of light, and G = 6.67x10-11 Newtons m2/kg2 for the gravitational constant.
Problem 2: Calculate the Schwarzschild radius, in meters, for Earth where M = 5.7 x 1024 kilograms.
Problem 3: Calculate the Schwarzschild radius, in kilometers, for the sun, where M = 1.9 x 1030 kilograms.
Problem 4: Calculate the Schwarzschild radius, in kilometers, for the entire Milky Way, with a mass of 250 billion suns.
Problem 5: Calculate the Schwarzschild radius, in meters, for a black hole with the mass of an average human being with M = 60 kilograms.
Using the formula given, the Schwarzschild radius are calculated below;
What is the Schwarzschild radius?Problem 1:
Given: R = 2GM/c² and R = 1.48 × 10⁻²⁷M
Using c = 3x10^8 m/s and G = 6.67x10^-11 Nm^2/kg^2
G = gravitational constant, c = speed of light
Substituting the values, we get:
1.48 × 10⁻²⁷M = 2GM/c²
R = 2GM/c² = (2 x 6.67x10^-11 x M)/(9x10^16)
R = 1.48 x 10^-27 M
The radius is 1.48 * 10^-27M
Problem 2:
To calculate the Schwarzschild radius, we simply need to substitute the values into the equation
Given: M = 5.7 x 10^24 kg
Using R = 2GM/c² = (2 x 6.67x10^-11 x M)/(9x10^16)
R = 8.45 * 10^-3m
Problem 3:
Given: M = 1.9 x 10^30 kg
Using R = 2GM/c² = (2 x 6.67x10^-11 x M)/(9x10^16)
R = 2816.2 kilometers
Problem 4:
Given: M = 250 billion suns = 250 x 10^9 x 1.9 x 10^30 kg
Using R = 2GM/c² = (2 x 6.67x10^-11 x 2.5 x 10^11 x 1.9 x 10^30)/(9x10^16)
R = 7.04 x 10^14 kilometers
Problem 5:
Given: M = 60 kg
Using R = 2GM/c² = (2 x 6.67x10^-11 x 60)/(9x10^16)
R = 8.9 x 10^-26 meters
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When a projectile reaches the highest point the vertical component of the acceleration is:
(A) Less than g (B) Greater than g (C) Positive g (D) Negative g
Answer:
The acceleration is g.
Taking the upward direction as positive
V = Vy y - 1/2 g t^2
Taking the downward direction as positive
V = -V y + 1/2 g t^2
One can choose either direction as positive, but the acceleration is
the same as g (it is g) while the projectile is in the air.
When a projectile reaches the highest point the vertical component of the acceleration is negative g (acceleration due to gravity). Thus, the correct option is D.
What is Projectile motion?Projectile motion is the motion of an object which is thrown or projected high into the air. After the initial force applied on the object that launches the object, the object only experiences the gravitational force. The object is called a projectile and the path of the object is called trajectory.
When a projectile reaches the highest point the vertical component of the acceleration is negative g (acceleration due to gravity). When the object achieves highest point, then the vertical acceleration of a projectile is zero meter per second square when it is at the peak of its trajectory motion.
Therefore, the correct option is D.
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Assuming the input of energy continues for another 5 seconds, where will the particle be?
equilibrium
positive maximum
negative maximum
cannot be determined
Answer:
Without knowing the specifics of the input of energy, it is impossible to determine where the particle will be after 5 seconds. The behavior of the particle will depend on the nature of the input, as well as the initial conditions of the system.
If the input of energy is periodic, the particle may return to its initial position after 5 seconds. If the input of energy is random or chaotic, the particle's position after 5 seconds may be difficult or impossible to predict.
Therefore, the answer is "cannot be determined."
A lamp with a resistance of 60 Ohms is plugged into a 110-Volt household circuit. How much current flows through the lamp?Group of answer choices0.55 [A]1.83 [A]170 [A]6,600 [A]
Given:
The resistance of the lamp is,
\(R=60\text{ ohm}\)The voltage in the household circuit is,
\(V=110\text{ V}\)To find:
The current through the lamp
Explanation:
Ohm's law gives the relation between the current, voltage, and resistance of the circuit.
The current is,
\(i=\frac{V}{R}\)So, the current is,
\(\begin{gathered} i=\frac{110}{60} \\ =1.83\text{ A} \end{gathered}\)Hence, the current through the lamp is 1.83 A.
a) a drone flies 150 m to southwest (directly between south and west), then flies 85 m directly south, and finally flies 550 m in the direction 35 degrees north of east. Use the analytical method to find the resultant displacement of the drone (magnitude and direction)
you can help with a
The resultant of the displacement is 336.5m
What is resolution of vectors?The process of splitting a vector into its components is called resolution of the vector. The vectors are splitted into vertical and horizontal component.
For the first displacement;
The vertical component = - 150 sin45 = -106.1 m
The horizontal component = - 150 cos 45° = -106.1 m
For the second displacement;
The vertical displacement = - 85sin90 = -85
The horizontal component = 0
For the third displacement;
The vertical displacement = 550 sin55 = 450.5
The horizontal displacement = 550 cos 55 = 315.5
Sum of vertical component = 450.5-85-106.1 = 263.4
sum of horizontal component = 315.5 -106.1 = 209.4
Using Pythagorean theorem
R = √ 263.4² + 209.4²
R = √113227.92
R = 336.5m
The resultant angle = tan^-1( 263.4/209.4)
= tan^-1(1.26)
= 51.56°
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A balloon contains 0.04m3 of air at a pressure of 1.20 x 105Pa. Calculate the pressure required to reduce its volume to 0.025m3 at constant temperature.
Answer:
you can simply answer p1v1=p2v2 p2 = p1v1÷ p2 then inter what given in the formula you get it pl=1.20x 105pa vl= 0.40m3 v2=0.025m3
How is it possible for a tree to survive if the inner part is missing?
It is not possible for a tree to survive if the inner part of the tree is missing. This is because, the inner part of the tree is vital for survival and health.
What is a tree?Trees are the plants which carry out the life processes that all plants share on the planet. It is not possible for a tree to survive without the inner part. If the entire inner part is missing, including the heartwood and sapwood, is missing. The inner part of a tree is vital to the survival as well as the health, as it is responsible for the transportation of water, nutrients, and sugars between the root and the leaves.
However, it is possible for a tree to survive if only some part of the inner part is missing. Trees have a remarkable ability to compartmentalize the damage and decay, which means that they can wall off or can isolate the injured or infected parts of the tree for the prevention of the spread of damage to the rest of the tree.
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