The cost of running the refrigerator for 30 days is 18.72 dollars.
The energy usage of a refrigerator with a 1000 W compressor that runs only 20% of the time is to be calculated in dollars per kWh, as electricity costs 0.13 dollars/kWh.SolutionThe energy consumption of a refrigerator can be determined by calculating the energy consumed over time. Let's assume that electricity costs 0.13 dollars/kWh.Cost of running the refrigerator in 1 hour = 0.13 * 1kW = 0.13 dollars
Since the compressor only runs 20% of the time, its running time will be 0.2 * 1 hour = 0.2 hoursThe energy used by the refrigerator in 30 days is the product of energy used per hour and the number of hours in 30 days. There are 24 hours in a day, so there are 24 * 30 = 720 hours in 30 days.
Cost of running the refrigerator in 0.2 hours = 0.13 * 1kW * 0.2 = 0.026 dollars
Cost of running the refrigerator in 30 days = 720 * 0.026 dollars= 18.72 dollars
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Earthquakes
Shaking of the ground
Seismographs
Scientific method
Answer:
C. seismographs
Explanation:
Theirs another name for seismographs but c is correct
what is the expression for the electric potential energy of a particle of charge q in a uniform electric fieeld
The expression for the electric potential energy of a particle of charge q in a uniform electric field is given by the following formula: U = q Ed where U is the electric potential energy, q is the charge of the particle, E is the strength of the electric field, and d is the distance between the particle and the reference point in the field.
The electric potential energy of a particle in an electric field is the energy that the particle has due to its position in the field. The amount of energy depends on the strength of the field, the charge of the particle, and the distance between the particle and the reference point in the field.
The electric potential energy can be used to calculate the work done by an electric field on a charged particle. When a charged particle is moved in an electric field, the field does work on the particle, and this work is equal to the change in the electric potential energy of the particle. Thus, the electric potential energy is an important concept in understanding the behavior of charged particles in electric fields.
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If the normal force of the bow on the string is 0. 75 N , how far can the string be pulled before it slips if the string is bowed at its center
If the normal force of the bow on the string is 0. 75 N ,The string be pulled before it slips if the string static friction is bowed at its center is 0.60mm.
The normal force exerted by the bow on the string is the force perpendicular to the surface of contact between them. In this case, the normal force is given as 0.75 N. The string can be pulled before it slips when the applied force reaches the maximum static friction force between the string and the bow.
The maximum static friction force is determined by the coefficient of static friction (μs) between the string and the bow, multiplied by the normal force. The coefficient of static friction represents the interaction between the two surfaces and their tendency to resist relative motion. The maximum normal force force can be calculated using the equation Fmax = μs * N, where Fmax is the maximum static friction force, μs is the coefficient of static friction, and N is the normal force.
Fmax=0.8×0.75
Fmax=0.60mm
The distance to which the string can be pulled before it slips depends on the relationship between the applied force and the maximum static friction force. Once the applied force exceeds the maximum static friction force, the string will start to slip. The specific distance at which this occurs would require additional information about the coefficient of static friction and the applied force.
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PLEASE ONLY A B C OR D || During an experiment, your teacher gives you two objects: tissue paper and a balloon. You observe that the tissue paper repels the balloon. What does this most likely tell you about the charges of the two objects?
a.Both objects have negative charges.
b.The tissue has a positive charge, and the balloon has a negative charge.
c. The tissue has a negative charge, and the balloon has a positive charge.
d.The objects have no interactive with each other.
c. The tissue has a negative charge, and the balloon has a positive charge.
The balloon is repelled by the tissue paper, why?Due to the opposing charges of both things, the tissue paper repels the balloon. In this instance, it is likely that the balloon has a positive charge whereas the tissue paper has a negative charge. While like charges repel one another, opposite charges attract.
The balloon is repelled by the tissue paper, so what can we assume about the charges of the two items from this observation?The fact that the balloon is repelled by the tissue paper leads us to conclude that both items have opposing charges. The tissue paper has a negative charge, but the balloon is most likely to have a positive charge.
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3. Bamey is walking with all his good friends. If he began walking away from Lucy 12 seconds ago at an average speed of 1.5 m/s and is now 25 m from Lucy, the how far from her was he when he began walking?
Answer:
7 meters away
Explanation:
12 x 1.5 = 18
25 - 18 = 7
Which of these describes a real image?
1. Suppose you weigh 580.00 Newtons (that is about 130 pounds) when you are standing on a beach near San Diego. How much will you weigh at Big Bear lake, which is about 2000 meters high? 2. A spring, with spring constant k = 0.50 N/m, has an m = 0.20 kg mass attached to its end. During its (horizontal) oscillations, the maximum speed achieved by the mass is Umax = 2.0 m/s. (a) What is the period of the system? (b) What is the amplitude of the motion?
Therefore, the period of the system is 2.513 s and the amplitude of the motion is 1.591 m.
1. In order to calculate how much you will weigh at Big Bear lake, we need to take into account the effect of gravity. The force of gravity depends on the mass of the two objects involved and the distance between them. The mass of the Earth is much larger than our own mass, so we can assume that it does not change significantly. However, the distance between us and the center of the Earth does change as we move higher up.
Using the formula for the force of gravity (F = G * m1 * m2 / r^2), where G is the gravitational constant (6.6743 × 10^-11 N*m^2/kg^2), m1 is the mass of the Earth, m2 is our own mass, and r is the distance between us and the center of the Earth, we can calculate the force of gravity acting on us at each location.
At the beach near San Diego, the force of gravity acting on us is F1 = G * m1 * m2 / r1^2 = (6.6743 × 10^-11) * (5.97 × 10^24) * (58) / (6,371,000)^2 = 570.09 N.
At Big Bear lake, the force of gravity acting on us is F2 = G * m1 * m2 / r2^2 = (6.6743 × 10^-11) * (5.97 × 10^24) * (58) / (6,373,000)^2 = 567.60 N.
Therefore, our weight at Big Bear lake is approximately 567.60 N, which is slightly less than our weight at the beach near San Diego.
2. The period of an oscillating spring-mass system is given by the formula T = 2π * √(m/k), where T is the period, m is the mass of the object attached to the spring, and k is the spring constant.
In this case, m = 0.20 kg and k = 0.50 N/m, so we can calculate the period as T = 2π * √(0.20/0.50) = 2.513 s.
The amplitude of the motion is the maximum displacement from the equilibrium position. We can find this value by using the formula Umax = A * ω, where Umax is the maximum speed achieved by the mass, A is the amplitude of the motion, and ω is the angular frequency (which is equal to 2π/T).
Rearranging this formula, we get A = Umax / ω = Umax / (2π/T) = Umax * T / (2π) = 2.0 * 2.513 / (2π) = 1.591 m.
Therefore, the period of the system is 2.513 s and the amplitude of the motion is 1.591 m.
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A block of mass m is initially at rest at the origin x = 0. A one-dimension force given by F = Fo ex, where Fo & λ are positive constants, is appl block. a. What are the units of Fo & λ? (2pts) b. Argue that the force is conservative. (1pt) c. Find the potential energy associated with the force. (2pts) Find the total energy of the block. (1pt) d. f. e. Find the velocity of the block as a function of position x. (4pts) What is the terminal speed of the block as x→→[infinity]o? Justify the valu
a. Units of Fo & λFor the given question,A block of mass m is initially at rest at the origin x = 0. A one-dimension force given by F = Fo ex, where Fo & λ are positive constants, is applied to the block.a. What are the units of Fo & λ?The unit of force F = Fo ex is N (newton). Here, x is a dimensionless quantity since it is a unit vector with no magnitude. Hence, the dimension of Fo is N.λ is the wavelength which is the distance between two similar points of a wave. It is measured in meters (m). Therefore, the dimension of λ is m.
b. Argue that the force is conservative The work done by the force is conservative if it is equal to the negative of the potential energy. To verify if the force is conservative, we must check if the cross-partial derivatives are equal. Hence,∂F/∂x = Fo∂/∂x (ex) = 0∂F/∂y = Fo∂/∂y (ex) = 0∂F/∂z = Fo∂/∂z (ex) = 0Since the cross-partial derivatives are zero, the force is a conservative force.
c. Find the potential energy associated with the forceThe potential energy is the negative of the work done by the force. Therefore, the potential energy is given byU = -W(x2, x1) = - ∫(x1, x2) F · drWe know, F = Fo exTherefore, U = - Fo ex · xThus, the potential energy isU = - Fo x.d. Find the velocity of the block as a function of position xWe know that the work done by the force is equal to the change in kinetic energy. Therefore,W(x2, x1) = K(x2) - K(x1)Since the block starts at rest, the initial kinetic energy is zero. Hence,K(x1) = 0Therefore,W(x2, x1) = K(x2)Solving for velocity,v(x) = [2/m ∫(0,x) F dx]^(1/2)We know that F = Fo exTherefore,v(x) = [2/m ∫(0,x) Fo ex dx]^(1/2)v(x) = [2Fo/m ∫(0,x) ex dx]^(1/2)v(x) = [2Fo/m (ex)|0x]^(1/2)v(x) = [2Fo/m (e^(x) - 1)]^(1/2)
e. Find the terminal speed of the block as x → ∞As x approaches infinity, the velocity approaches a maximum value, known as the terminal velocity. Therefore,vt = lim (x → ∞) v(x)We know that,v(x) = [2Fo/m (e^(x) - 1)]^(1/2)Taking the limit,vt = lim (x → ∞) [2Fo/m (e^(x) - 1)]^(1/2)vt = lim (x → ∞) [2Fo/m (e^(2x) - 2e^x + 1)]^(1/2)vt = lim (x → ∞) [(2Fo/m) (e^(2x))]^(1/2)vt = lim (x → ∞) [(2Fo/m) (e^x)]Therefore, the terminal speed of the block as x approaches infinity isvt = [(2Fo/m) ∞]^(1/2) = ∞Therefore, the block does not have a terminal speed.
About Potential energyPotential energy is energy that affects objects because of the position of the object, which tends to go to infinity with the direction of the force generated from the potential energy. The SI unit for measuring work and energy is the Joule. What are the uses of potential energy? Potential energy is energy that is widely used to generate electricity. Even so, there are two objects that are used to store potential energy. These objects, namely water and fuel, are used to store potential energy. In general, water can store potential energy like a waterfall.
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A 20 kg truck drives in a circle of radius 4 m at 10m/s. What causes
the circular motion?
A. Normal Force
B. Friction
C. Tension
D. Gravity
Answer:
Normal force
Explanation:
The force is centipetral forceCalculating :-
Mass=m=20kgRadius=r=4mVelocity=10m/s=vWe know
\(\boxed{\sf F_c=\dfrac{mv^2}{r}}\)
\(\\ \sf\longmapsto F_c=\dfrac{20(10)^2}{4}\)
\(\\ \sf\longmapsto F_c=\dfrac{20(100)}{4}\)
\(\\ \sf\longmapsto F_c=\dfrac{2000}{4}\)
\(\\ \sf\longmapsto F_c=500N\)
a ufo going 64 m/s west suddenly experienced a constant acceleration for 63 s during which its displacement was 21,892.5 m west. determine the final speed of the ufo
The final speed of the UFO after experiencing a constant acceleration for 63 seconds is 351.3 m/s.
What is accelaration?Acceleration is the rate at which an object increases its speed, velocity or rate of change. It is the rate of change of velocity over time, or the rate of change of the position of an object. Acceleration can be either positive, when the speed of an object is increasing, or negative, when the speed of an object is decreasing.
The final speed of the UFO can be determined by using the equation, v = u + at, where u is the initial velocity, a is the acceleration, and t is the time. So, in this case, v = 64 + (21,892.5/63) = 351.3 m/s. Therefore, the final speed of the UFO after experiencing a constant acceleration for 63 seconds is 351.3 m/s.
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An object has a height of 0.064 m and is held 0.240 m in front of a converging lens with a focal length of 0.140 m. (Include the sign of the value in your answers.)
(a) What is the magnification?
(b) What is the image height?
m
(a) To find the magnification, we first need to determine the image distance (q). We can use the lens formula:
1/f = 1/p + 1/q
where f is the focal length (0.140 m), p is the object distance (0.240 m), and q is the image distance. Rearranging the formula to solve for q:
1/q = 1/f - 1/p
1/q = 1/0.140 - 1/0.240
1/q = 0.00714
q = 1/0.00714 ≈ 0.280 m
Now, we can find the magnification (M) using the formula:
M = -q/p
M = -0.280/0.240
M = -1.17
The magnification is -1.17.
(b) To find the image height (h'), we can use the magnification formula:
h' = M × h
where h is the object height (0.064 m). Plugging in the values:
h' = -1.17 × 0.064
h' ≈ -0.075 m
The image height is approximately -0.075 meters. The negative sign indicates that the image is inverted.
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can someone please help me I don’t understand how i’m supposed to solve this
Answer:
the net force is 10 and it is pushing to the right
Explanation:
The net force is the total and sonce the 20N is overpowering the 10N it will have 10N which will put the 20N ahead
A 500 kg satellite experiences a gravitational force of 3000 N, while moving in a circular orbit around the earth. Determine the speed of the satellite.
Answer:
Speed of the satellite V = 6.991 × 10³ m/s
Explanation:
Given:
Force F = 3,000N
Mass of satellite m = 500 kg
Mass of earth M = 5.97 × 10²⁴
Gravitational force G = 6.67 × 10⁻¹¹
Find:
Speed of the satellite.
Computation:
Radius r = √[GMm / F]
Radius r = √[(6.67 × 10⁻¹¹ )(5.97 × 10²⁴)(500) / (3,000)
Radius r = 8.146 × 10⁶ m
Speed of the satellite V = √rF / m
Speed of the satellite V = √(8.146 × 10⁶)(3,000) / 500
Speed of the satellite V = 6.991 × 10³ m/s
WHAT IS THE VOLUME OF A 5.71 G PLASTIC CUBE THAT HAS A DENSITY OF 1.15 G/CM3
Answer:4.96\(cm^{3}\)
Explanation: Density is \(\frac{Mass}{Volume}\)
so you are now looking for volume.
Volume= Density x Mass so
Volume = (5.78g) x(1.15g/ \(cm^{3} \frac{x}{y}\)) =4.96\(cm^{3}\)
Predict the energy transformations when a fast moving roller coaster finishes its ride and comes to a stop. Give three possibilities.
Since energy cannot be destroyed nor created but it can only be transformed from one form to another, the three possibilities energy transformations will be:
Kinetic energykinetic energy + potential energypotential energy.What is Conservation of Energy ?Conservation of energy state that energy cannot be destroyed nor created but it can only be transformed from one form to another.
When a fast moving roller coaster finishes its ride, before this, the roller coaster will be experiencing maximum kinetic energy. when it is trying to come to rest, the maximum energy = kinetic energy + potential energy and when it finally comes to a stop, the maximum energy will be equal to potential energy.
Therefore, the three possibilities energy transformations will be Kinetic energy, kinetic energy + potential energy and potential energy.
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it is a state of matt3r where molecules are very far apart from each øther a.sølid b.liqüid c.gàs d.plasma Jwksjwkajb
Answer:
gas
Explanation:
Solids are compact together, liquida arent compact but are still close, and gases are free roaming and may be very far apart from eachother.
Answer:
The Answer is Gas.
Explanation:
A man lowers an object of mass 12 kg from a height of 0.5m to the floor. What is the work done by him?
Answer:
Work = Force × distance
= m × g × d
= 12 × 9.8 × 0.5
= 58.8 N
If in the case , you need any help pleasee leg me know! [ you'll have to pay btw]
today, this part of kansas is rolling hills and farm fields. describe the environment ni which the sediment ni this rock sample (photograph )x was deposited there about 290 million years ago.
The environment was quite different. Based on the sediment in the rock sample (photograph X), it is likely that this area was once covered by a shallow sea or ocean. The presence of fine-grained sediment, such as silt and clay, suggests that the water was relatively calm and quiet.
About 290 million years ago, during the Paleozoic era, Kansas was covered by a shallow sea known as the Permian Sea. The sedimentary rocks found in Kansas, including limestone, sandstone, and shale, were deposited in this sea over millions of years.
The environment in which sediment is deposited can provide clues about the conditions of the area at the time. Based on the type of rock you mentioned, it is likely that the sediment was deposited in a marine environment, such as a shallow sea or a shoreline. The limestone could have been formed from the accumulation of shells and other organic material from marine organisms, while the sandstone and shale could have been deposited by erosion and transport of sediment from nearby land.
In terms of the landscape, it is possible that the area that is now Kansas was a low-lying coastal plain, with rivers and streams carrying sediment into the sea. The rolling hills and farm fields seen today are a result of more recent geologic processes, such as erosion and deposition by wind and water.
Overall, the sediment in the rock sample you mentioned was likely deposited in a marine environment in what is now Kansas, during the time period of the Permian Sea.
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Two cables support a 1100-lb weight, as shown. Find the tension in each cable. The tension of the cable on the right is pounds and the tension on the cable on the left is pounds. (Round to the nearest pound as needed.)
The tension in the cable on the right is 550 lbs, and the tension in the cable on the left is also 550 lbs when supporting the 1100-lb weight.
For determining the tension in each cable, consider the given weight of 1100 lbs. Since the weight is supported by two cables, assume that each cable shares an equal portion of the load.
Denote the tension in the cable on the right as \(T_1\) and the tension in the cable on the left as \(T_2\). Since the weight is balanced and the cables are vertical, the total tension in both cables should be equal to the weight.
Therefore, have the equation:
\(T_1 + T_2 = 1100 lbs\)
Since both cables share the weight equally, can set up another equation:
\(T_1 = T_2\)
By substituting the value of \(T_1\) from the second equation into the first equation:
\(T_2 + T_2 = 1100 lbs\\2T_2 = 1100 lbs\\T_2 = 550 lbs\)
Since \(T_1\) is equal to \(T_2\), can conclude that the tension in each cable is 550 lbs.
In conclusion, the tension in the cable on the right is 550 lbs, and the tension in the cable on the left is also 550 lbs when supporting the 1100-lb weight.
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the definition of Force
Answer:
A force is a push or pull upon an object resulting from the object's interaction with another object.
Explanation:
Answer: force is a push or pull upon an object resulting from the object's interaction with another object.
Explanation: Hope this helps and it also on googIe
They confessed their guilt.
Answer:
heyyy
May I Know the full question
25 POINTS!!! NEED ASAP!
Which quantities do you need to know in order to determine the change in an object's momentum?
A. Change in time and force
B. Velocity and change in time
C. Acceleration and change in direction
D. Change in speed and force
Answer:
B.
Explanation:
The amount of momentum that an object has is dependent upon two variables: how much stuff is moving and how fast the stuff is moving. Momentum depends upon the variables mass and velocity. In terms of an equation, the momentum of an object is equal to the mass of the object times the velocity of the object.
The change in momentum is the mass and the change in velocity. Option E is correct.
To determine the change in an object's momentum, you need to know the object's mass and the change in its velocity. The momentum of an object is termed as the product of its mass as well as velocity. Mathematically, momentum (p) is expressed as:
p = m × v
Where:
p is the momentum,
m is mass of the object, and
v is the velocity of the object.
The change in an object's momentum (∆p) is given by the difference between its initial momentum (p₁) and its final momentum (p₂):
∆p = p₂ - p₁
Since momentum is dependent on both mass and velocity.
Hence, E. is the correct option.
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--The given question is incorrect, the correct question is
"Which quantities do you need to know in order to determine the change in an object's momentum? A. Change in time and force B. Velocity and change in time C. Acceleration and change in direction D. Change in speed and force E) Mass and change in velocity."--
Bone has a Young's modulus of about 1.8 x 1010 Pa. Under compression, it can withstand a stress of about 1.51 × 108 Pa before breaking. Assume that a femur (thigh bone) is 0.5 m long, and calculate the amount of compression this bone can withstand before breaking. Answer in units of mm.
The femur can withstand a compression of about 4.1945 mm before breaking.
Compression calculations explained.We can use the formula for compressive stress to calculate the amount of compression that the femur bone can withstand before breaking:
Stress = Force / Area
where the force is the force applied to the bone and the area is the cross-sectional area of the bone.
To find the cross-sectional area of the femur bone, we can assume that it has a circular cross-section and use the formula:
Area = πr^2
where r is the radius of the cross-section.
Since the length of the femur bone is 0.5 m, we can assume that the cross-sectional area remains constant along its length.
Let's assume that the force required to break the bone is the maximum compressive stress that it can withstand, which is 1.51 × 10^8 Pa. We can rearrange the stress formula to solve for the force.
We can use the equation for strain under compression:
strain = stress / Young's modulus
where stress is the maximum stress the bone can withstand before breaking, and Young's modulus is a measure of the stiffness of the material. The strain is a measure of how much the bone compresses under stress.
To find the compression distance, we can rearrange this equation to solve for the compression distance:
compression distance = strain x original length
where the original length is the length of the bone before compression
Substituting the given values:
stress = 1.51 × 10^8 Pa
Young's modulus = 1.8 × 10^10 Pa
original length = 0.5 m
First, we can calculate the strain:
strain = stress / Young's modulus = (1.51 × 10^8 Pa) / (1.8 × 10^10 Pa) ≈ 0.008389
Next, we can calculate the compression distance:
compression distance = strain x original length = (0.008389) x (0.5 m) = 0.0041945 m
Finally, we can convert the result to millimeters:
compression distance = 0.0041945 m x (1000 mm/m) = 4.1945 mm
Therefore, the femur can withstand a compression of about 4.1945 mm before breaking using Stress = Force / Area
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what was the rule of the sticks on each atom model
Answer:
That they must die
Explanation:
Stick = Die
please help thanks :)
The distance travelled by the car after the first four hours of the trip is 370 km and the average speed for the first four hours of the trip is 92.5 kmph
v ( t ) = d ( t ) / t
v ( t ) = Velocity with respect to time
d ( t ) = Distance with respect to time
t = Time
For the first four hours, the following details are taken from the graph shown.
d ( 4 ) = 370 km
t = 4 hr
v ( 4 ) = 370 / 4
v ( 4 ) = 92.5 kmph
Average velocity can also be calculated using the formula V = ( u + v ) / 2 if the initial and final velocities are given. u represents initial velocity and v represents the final velocity.
Therefore,
Distance travelled in first 4 hours = 370 km
Average speed in first four hours = 92.5 kmph
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Which one of the following statements concerning fluid streamlines is true? A) In steady flow, streamlines must remain parallel and equally spaced: In turbulent flow; two or more streamlines may cross. B) In turbulent flow, streamlines can begin or end at any point: Streamlines are perpendicular to the velocity of the fluid at every point: C) In steady flow, the pattern of streamlines does not change with time
The statement that is true is that in turbulent flow, streamlines can begin or end at any point: streamlines are perpendicular to the velocity of the fluid at every point.
At any given point of time, when the flow of water is constant with respect of time then it is called streamline flow. Streamline flow occurs when there are sharp edge obstacles in the path of a fast-moving fluid. Streamline flow is explained by Pascal's principle. In steady flow, the liquid velocity at any particular point is the same. In steady flow of water, we can consider that the two layers of water cannot meet or merge with each other and it will flow continuously without any interruption. The high viscosity index number of any fluid describes many things about that fluid like high viscosity number describes about the rigidity of that fluid with respect to the flowing area. Streamline flow of any fluid means its smooth flow after passing through a cut edge without disturbing its path.
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Calculate the frequency of the photon released for an ionized helium atom (it has a single electron) when the electron transitions from second orbit to first orbit.
The frequency of the photon released when the electron transitions from the second orbit to the first orbit is 2.5 x 10^15 Hz.
The energy of a photon is given by the equation \(E=hf\) where E is energy, h is Planck's constant, and f is frequency.
According to Bohr's model of an atom, the energy of an electron in an orbit is given by the equation \(E= (-13.6eV/n^2)\),
where n is the orbit number, and the negative sign represents the fact that the electron is bound to the nucleus and has potential energy. The initial orbit number is 2, and the final orbit number is 1, and we need to find the frequency of the photon that is emitted.
To calculate the frequency of the photon, we need to find the energy difference between the initial and final orbit.
The energy of the electron in the second orbit is given by:
E₂ = (-13.6 eV/2²) = -3.4 eV
The energy of the electron in the first orbit is given by: E₁ = (-13.6 eV/1²) = -13.6 eV.
The energy difference (ΔE) between the two orbits is given by:
\(ΔE = E₂ - E₁\)
= -3.4 eV - (-13.6 eV)
= 10.2 eV.
Using the equation E=hf, we can calculate the frequency of the photon:
\(f = E/h\)
where E is the energy difference, and h is Planck's constant, which is 6.626 x 10^-34 J s.
Therefore: f = (10.2 x 1.6 x 10^-19 J)/(6.626 x 10^-34 J s)
f = 2.5 x 10^15 Hz
Therefore, the frequency of the photon released when the electron transitions from the second orbit to the first orbit is 2.5 x 10^15 Hz.
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If the coefficient of sliding friction between a 25 kg crate and the floor is 0.45, how much force is required to move the crate at a constant velocity across the floor?
At constant velocity, the crate would be in equilibrium, so that Newton's second law tells us
p + (-f ) = 0
where p and f denote the magnitudes of the added pushing force and friction force, respectively.
The friction force is proportional to the normal force by a factor of µ, the coefficient of friction. There's no vertical movement going on, so Newton's second law says
n + (-w) = 0
where n and w are the magnitude of the normal force and the weight of the crate, respectively.
Compute n :
n = w = (25 kg) (9.80 m/s²) = 245 N
Use this and µ = 0.45 to compute f :
f = µ n = 0.45 (245 N) = 110.25 N
Solve for p :
p + (-110.25 N) = 0
p = 110.25 N ≈ 110 N
The force i.e required to move the crate at a constant velocity across the floor is 110 N.
At the same velocity, the crate should be in equilibrium, so as per Newton's second law, the following formula should be used:
p + (-f ) = 0
p means the magnitudes of the added pushing force
f means the friction force
Calculation of the force:
n = w = (25 kg) (9.80 m/s²) = 245 N
Now
force should be
= µ n
= 0.45 (245 N)
= 110.25 N
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2m east, then 3m north, then 4m west
What the total distance travelled and the net displacement?
The net displacement is obtained to be 3.6 m.
What is the net displacement?We know that distance is a scalar quantity and displacement is a vector quantity. Based on this fact, a scalar has a magnitude but lacks direction while vector has both magnitude and direction.
We know that the total distance could be obtained algebraically since distance is a scalar quantity hence we have the total distance as; 2 m + 3m + 4m = 9 m
The net displacement must be obtained geometrically;
Horizontal component of displacement = 4 m - 2m = 2m
Vertical component of displacement = 3m
Net displacement = √2^2 + 3^2
= 3.6 m
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Help please!
What happens to holes in the ground over time due to weathering and erosion?
Answer:
They are buried in the ground due to weathering and erosion
Explanation:
Answer:
They are buried in the ground due to weathering and erosion.