If an automobile drives 500 miles at an average speed of 54.9%, it will take 14.6 hours to finish the journey. The total distance that the thing has gone is its average speed.
divided by the entire amount of time it took to go the distance. The equation for average speed is: The difference between instantaneous and average speed.
The measurement of distance between two objects or points can be quantitative or occasionally qualitative. Distance in physics or common language can refer to a physical length or an assumption based on other factors (e.g. "two counties over").
Time taken = distance travelled/ speed
Time taken = 500 miles/ 54.9minutes/hr
Time taken = 804.67 km/54.9minutes/hr
Time taken = 14.6 hours
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Note that outgoing longwave radiation is also determined by the Stefan-Boltzmann equation. If we assume that energy is balanced, we can substitute 342 W/m
2
for F
Lout.
Insert this and your answer to question 1 for F
sin,
and rearrange Equation 2−8 to solve for the Earth temperature without an atmosphere. Type your answer and submit Given an answer to the previous question of 255 K, convert this to degrees Celsius and degrees Fahrenheit. Do you believe this is colder or warmer than the actual average temperature of the Earth? Type your answer and submit
The Earth's temperature without an atmosphere, determined by substituting 342 W/m² for outgoing longwave radiation and rearranging the Stefan-Boltzmann equation, is approximately 255 K.
By substituting the given values into the Stefan-Boltzmann equation, we can solve for the Earth's temperature without an atmosphere. Assuming an emissivity of 1, the equation becomes 342 = (5.67 × 10^-8) × T^4. Solving for T yields a temperature of approximately 255 K.
Converting this temperature to degrees Celsius, we subtract 273.15 to obtain approximately -18.15 °C. Similarly, converting to degrees Fahrenheit using the conversion formula, we find approximately -0.67 °F.
This temperature of -18.15 °C (or -0.67 °F) represents the hypothetical temperature of the Earth without an atmosphere. Comparing it to the actual average temperature of the Earth, around 15 °C (or 59 °F), we can see that it is significantly colder. The presence of the atmosphere is crucial for trapping heat through various greenhouse gases, such as carbon dioxide and water vapor, which maintain a habitable temperature range on Earth. Without the atmosphere's greenhouse effect, the Earth's temperature would be much colder, emphasizing the vital role played by our atmosphere in sustaining life on the planet.
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Look at the circuit diagram.
What type of circuit is shown?
open series circuit
open parallel circuit
closed series circuit
closed parallel circuit
The type of circuit shown in the diagram is a closed series circuit. The Option C.
What type of circuit is depicted in the circuit diagram?The circuit diagram illustrates a closed series circuit, where the components are connected in a series, forming a single loop. In a closed series circuit, the current flows through each component in sequence, meaning that the current passing through one component is the same as the current passing through the other components.
The flow of current is uninterrupted since the circuit forms a complete loop with no breaks or open paths. Therefore, the correct answer is a closed series circuit.
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17) Name two ways you could decrease the potential energy of a bucket full of water sitting on a bench.
Explanation:
The potential energy of an object has the following formula
Potential energy = mgh
where m = mass of the object
g = acceleration due to gravity
h = height of the object
This means that the potential energy of an object depends upon its mass, acceleration due to gravity, and height.
In the given situation we have a bucket full of water. If the mass and acceleration due to gravity are not changed, the only way the potential energy can be decreased is by reducing the height of the bucket full of water.
This can be done by: -
(i) Lifting the bucket full of water in such a way that you
decrease its height as compared to the bench.
(ii) Put the bucket full of water on a stool whose height is
lower than the bench.
Answer:
1.By decreasing it's contents- this decreases the weight of the bucket thus decreasing the potential energy of the bucket.
2.By decreasing the height of the bench we have decreased the amount of potential energy stored in the bucket
What's the kinetic energy of the roller coaster at the top and bottom of the hill? Use KE
mu
A kiddie roller coaster car has a mass 100 kilograms. At the top of a hill, it's moving at a speed of 3 meters/second. After reaching the bottom
of the hill, its speed doubles. The car's kinetic energy at the bottom is
v its kinetic energy at the top. The car has
joules of kinetic energy at the bottom of the hill.
Reset
Next
The kinetic energy of the car is four times greater at the bottom than it is at the top. At the base of the hill, the car's kinetic energy is 1800 joules.
Describe kinetic energy.The momentum an object has as a result of motion is known as kinetic energy. We must exert force on an object if we desire to accelerate it. To apply a force, we must exert effort. Once the work is finished, the objects will be moving because energy has now been transferred to it.
What elements influence the kinetic energy?Describe that a travelling internal force and speed are major factors that impact the amount of kinetic energy it will possess. Partially particles can result in the loss of kinetic energy through frictional, sound, and heat.
k = 1 /2 mv²
K = 1 /2 (100 kg) (3 m/s)²
= 450 J
K = 1 /2 (100 kg) (6 m/s)²
k = 1800 J
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A tennis player makes a return at a speed of 15m/s and at height of 3m to land in the court at a horizontal distanceof 12m from her. what are the possible angles of projection of the ball
With the use of range formula, also, in multiple of 180 degree, 59 and 239 degrees are the angles of projection.
What is a Projectile ?A projectile in kinematic under physics can be defined as any object that is projected or thrown to take a trajectory path.
Given that a tennis player makes a return at a speed of 15 m/s and at height of 3m to land in the court at a horizontal distance of 12 m from her.
Let us assume that the ball fall at height 3m. U = 0. Let us find the time
h = ut + 1/2gt²
3 = 0 + 1/2 × 9.8 × t²
3 = 4.9t²
t² = 3/4.9
t² = 0.612
t = √0.612
t = 0.782 s
Total time T = 2t
T = 2 × 0.782
T = 1.564 s
The possible angles of projection of the ball can be calculated by using the range formula
R = UcosФT
12 = 15cosФ × 1.564
12 = 23.46cosФ
cosФ = 12 / 23.46
cosФ = 0.512
Ф = \(Cos^{-1}\) (0.512)
Ф = 59. 2 degree
Ф = 59°
Therefore, the possible angles of projection of the ball are 59° and 239°
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The frequency of the first harmonic in a pipe is measured. An adjustment [1 mark] is then made which causes the speed of sound in the pipe to increase. What is true for the frequency and the wavelength of the first harmonic when the speed of sound has increased? Frequency Wavelength А increase unchanged B unchanged increase C increase increase D unchanged unchanged
When the speed of sound in the pipe increases, the frequency and wavelength of the first harmonic will both increase. Therefore, the correct answer is C (increase, increase).
When an adjustment is made which causes the speed of sound in the pipe to increase, the frequency of the first harmonic also increases while the wavelength remains unchanged. This is because the frequency of a wave is directly proportional to its speed, and the wavelength is inversely proportional to its speed. Thus, when the speed of sound increases, the frequency of the first harmonic increases while the wavelength remains constant.
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A spacecraft flies within 500,000 km of each of these planets. Based on its mass, which planet would gravitationally attract the spacecraft the least?
Answer:
Mars
Explanation:
It would be Mars because Mars has the least mass out of al the planets in the Solar System, and that would affect its gravitational pull.
I hope it helps! Have a great day!
Anygays-
Many people believe that if the human race continues to use energy as we are now, without change, we’ll witness a significant worldwide environmental impact in this century. Research this topic and discuss this possibility. Include concrete examples of specific environmental consequences of global warming.
It is correct to state that if the human race continues to use energy as it currently does, without change, we will see negative environmental impacts all over the world in this century.
What is global warming?Global warming is the heating of the Earth's surface seen since the pre-industrial period because of human activities, mainly the combustion of fossil fuels, which boosts heat-trapping greenhouse gas levels in the Earth's atmosphere.
As an example, vehicles that run on fossil fuels, such as cars and buses, emit polluting gases into the atmosphere, causing the greenhouse effect and contributing to global warming.
To address these issues, it is necessary to raise public awareness so that there is a growing interest in and search for environmentally responsible solutions, such as mass production of electric cars that do not pollute the environment.
It is right to argue that if the human race persists to use power in the same manner that it as of now does, we will see negative environmental impacts all over the world in this century.
Thus, these are some of the consequences regarding the given scenario.
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please help me out with this.
To find the current in the resistor, we can use Ohm's Law and the concept of equivalent resistance. Thus, option A is correct.
First, let's calculate the equivalent resistance of the three cells connected in parallel. When resistors are connected in parallel, the reciprocal of the equivalent resistance is equal to the sum of the reciprocals of the individual resistances:
1/Req = 1/R1 + 1/R2 + 1/R3
Given that R1 = R2 = R3 = 22 Ω (internal resistance of each cell), we can substitute the values:
1/Req = 1/22 + 1/22 + 1/22
1/Req = 3/22
Taking the reciprocal of both sides, we find:
Req = 22/3 Ω
Now we can use Ohm's Law to calculate the current (I) in the resistor. Ohm's Law states that the current flowing through a resistor is equal to the voltage across it divided by its resistance:
I = V/R
Given that V = 1.1 V (emf of each cell) and R = 32 Ω (resistance), we can substitute the values:
I = 1.1/32
Calculating this value, we find:
I ≈ 0.034375 A
Therefore, the current in the resistor is approximately 0.034375 A.
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Which two elements are the most abundant in the Earth's crust? A. silicon and oxygen B. silicon and magnesium C. iron and nickel D. iron and magnesium
Answer: A. silicon and oxygen
Explanation:
The two most abundance elements in earth's crust are silicon and oxygen.
The most abundant element in earth's crust is Oxygen (O) which has a percentage composition of 46.6%. Oxygen is mainly present as silicates, carbonates, sulphates etc.
The second most abundant element in earth's crust is Silicon (Si) which has a percentage composition of 27.7% . Silicon is present in the form of silicates.
The third most abundant element in earth's crust is aluminium (Al) which has a percentage composition of 8.1 %.
The fourth most abundant element in earth's crust is Iron (Fe) which has a percentage composition of 5.0 %.
Answer:
A
Explanation:
A smaller bucket with capacity 1 (unit of volume) is used to fill a larger bucket with capacity v (units of volume). A farmer successively draws water from a well using the smaller bucket and poors the content in the larger bucket. Suppose the successive amounts of water taken out of the well form a sequence of independent uniform over [0, 1] random variables. (a) On average, how many times will the farmer have to draw water out of the well to fill the larger bucket if its volume is v = 1? (b) Repeat for v = 2.
(a) On average, the farmer will have to draw water out of the well approximately 2 times to fill the larger bucket when its volume is v = 1. (b) When the volume of the larger bucket is v = 2, on average, the farmer will have to draw water out of the well approximately 4 times to fill it.
In this scenario, the farmer uses a smaller bucket with a capacity of 1 unit of volume to fill a larger bucket with a volume of v units. The amounts of water drawn from the well form a sequence of independent uniform random variables over the interval [0, 1].
(a) When the volume of the larger bucket is v = 1, it means that the larger bucket has the same capacity as the smaller bucket. To fill the larger bucket, the farmer needs to draw water until its total volume reaches 1. On average, it takes approximately 2 draws to fill the larger bucket completely.
(b) When the volume of the larger bucket is v = 2, the farmer needs to draw water until the larger bucket's total volume reaches 2. Since each draw yields a random value between 0 and 1, on average, it takes approximately 4 draws to achieve a total volume of 2 in the larger bucket.
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Evaporation requires the particles to _____ energy.
Answer:
create
release
absorb
destroy
Answer:
Release
Explanation:
The water is heated until
Shortly after receiving a traffic ticket for speeding, Fred made numerous comments about the road signs being inadequate and is GPS telling him a different speed limit. This would be an example of:
Answer:
External locus of control
Explanation:
External locus of control is an attitude people possess that makes them attribute their failures or successes to factors other than themselves. The opposite of this type of attitude is the Internal locus of control where the individuals take responsibility for the outcomes of their actions whether good or bad. One good thing about the external locus of control is that when the individuals with this characteristic record successes, they attribute it to others and this presents them as people with team spirit. However, when they record failures, they do not want to take the blame, but rather attribute it to others.
Fred exhibits an external locus of control because he attributed his speeding to other factors like the road signs and GPS instead of fully admitting that it was his fault.
The chart shows data for a moving object.
Time (s)
Velocity (m/s)
AN
8
8
8
Which conclusion is best supported by the information
in the chart?
The object has negative displacement.
The object has negative acceleration
The object does not have displacement
The object is not accelerating.
6
Answer:
number 2
Explanation:
explain the important difference between classical and quantum particles. discuss the requirements that determine whether a particle obeys bose-einstein or fermi-dirac statistics. (b) under what conditions is it possible to expect a transition from fermi-dirac to maxwell-boltzmann statistics? is it correct to say that the boltzmann distribution is the limiting case of the fermi-dirac distribution? (c) assume that in a hypothetical system there are only three particle states, with energies e1, e2 and e3. determine the maximum number of fermions in this system. (d) show that the entropy of an ideal fermion gas is in agreement with the third law of thermodynamics.
Bose-Einstein statistics apply to particles called bosons, which have integer spins, and can occupy the same quantum state. Fermi-Dirac statistics apply to particles called fermions, which have half-integer spins and are subject to the Pauli Exclusion Principle, meaning they cannot occupy the same quantum state.
Classical particles follow the laws of classical mechanics, whereas quantum particles obey the principles of quantum mechanics. In classical mechanics, particles have well-defined positions and velocities, while quantum particles are described by wave functions that determine the probabilities of their positions and momenta.
Bose-Einstein statistics apply to particles called bosons, which have integer spins, and can occupy the same quantum state. Fermi-Dirac statistics apply to particles called fermions, which have half-integer spins and are subject to the Pauli Exclusion Principle, meaning they cannot occupy the same quantum state.
A transition from Fermi-Dirac to Maxwell-Boltzmann statistics occurs when the quantum effects become negligible. This typically happens at high temperatures or low particle densities, where the particles behave more classically. The Boltzmann distribution can be considered a limiting case of the Fermi-Dirac distribution under these conditions.
For a system with only three particle states (e1, e2, e3), the maximum number of fermions is three. This is because, according to the Pauli Exclusion Principle, each fermion must occupy a unique quantum state.
The entropy of an ideal fermion gas can be shown to agree with the Third Law of Thermodynamics, which states that the entropy of a system approaches zero as its temperature approaches absolute zero. In an ideal fermion gas, at absolute zero, all fermions occupy their lowest energy states, and the system's entropy reaches its minimum value, consistent with the Third Law.
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8. Challenge: A delivery truck travels 18 blocks north, 10 blocks east, and 16 blocks south. What is the
distance traveled and displacement?
distance: 44 mi
Motion and Force Unit
Assume all blocks are the same length.
displacement:
OIt's Not Rocket Science 2017
original taste
Explanation:
islam new jersey
Suppose that during a test drive of two cars, one car travels 234 miles in the same time that a second car travels 180 miles. If the speed of the first car is 12 miles per hour faster than the speed of the second car, find the speed of both cars.
The speed of the first car is _____ mph. (Simplify your answer.)
The speed of the second car is _____ mph. (Simplify your answer)
The speed of the first car is 52 mph.
The speed of the second car is 40 mph.
Let's use "x" mph to represent the second car's speed. We can express the first car's speed as "x + 12" mph because it is 12 mph faster. According to our knowledge, the first car travelled 234 miles, while the second car covered 180 miles.
The relationship between speed and distance travelled is inversely proportional. As a result, the proportion of distances covered by the two vehicles will match the proportion of their speeds:
234 / 180 = (x + 12) / x
To solve this equation, we can cross-multiply:
234x = 180(x + 12)
Expanding the equation:
234x = 180x + 2160
Rearranging terms:
234x - 180x = 2160
54x = 2160
Dividing both sides by 54:
x = 40
Therefore, the speed of the second car is 40 mph.
To find the speed of the first car, we can substitute the value of x back into the expression "x + 12":
x + 12 = 40 + 12 = 52
Hence, the speed of the first car is 52 mph.
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a train of length 200m passes over a bridge of length 600m how long does it take to cross the bridge with a uniform speed of 36kmph?
80Sec or 1.33 min time taken by train to cross a bridge with a uniform speed of 36 kmph.
Given data,
length of bridge = 600m
length of train = 200m
Length of bridge + Length of train is the total distance travelled by train to cross the bridge.
So, 600+200 = 800m = 0.8km
Now, applying the formula for time,
\(time =\frac{distance}{speed}\)
\(time = \frac{0.8}{36}\)
time = 0.022hours
time in seconds= 0.022×60×60
time in seconds= 1.33×60
time in seconds= 80seconds
Therefore, 80Sec or 1.33 min time taken by train to cross a bridge with a uniform speed of 36 kmph.
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(a) Explain the physical significance of Reynolds number (2) ms' (b) The roof of a coach 6 m long, traveling at 100 km/h in air (μ = 1.8 x 10-5 kg, Р = 1.2 kg/m³). Calculate the Reynolds number and state if the flow is laminar or turbulent. (4) 1.4 (a) Explain emissivity and state its range. (2) (b) Surface A is coated with white paint and is maintained at a temperature of 200°C. It is located directly opposite surface B which is considered a black body and is maintained at a temperature of 800°C. Calculate the amount of heat that needs to be removed from surface A per unit area to maintain its constant temperature. Assume the following: emissivity = 0.97, view factor = 1; Stefan Boltzmann constant = 56.7 x 10-9 W/m².K4.
The amount of heat that needs to be removed from surface A per unit area to maintain its constant temperature is 409.3 W/m².
(a) Reynolds number is a non-dimensional parameter in fluid dynamics that is used to estimate the type of fluid flow. It expresses the ratio of inertial forces to viscous forces, which can be seen as the relative importance of these two forms of forces for given flow conditions. It has physical significance since the Reynolds number is used to forecast flow patterns in various engineering systems such as fluid dynamics, heat transfer, mass transfer, and others.(b) Reynolds number (Re) is given by the equation, Re = ρvL/μ
Where, ρ is the fluid density, v is the velocity of the fluid, L is the characteristic length, and μ is the fluid viscosity. Given, Length of coach, L = 6 m
Velocity of the coach, v = 100 km/h = 27.78 m/s
Density of air, ρ = 1.2 kg/m³
Viscosity of air, μ = 1.8 × 10⁻⁵ kg/ms
Re = (ρvL)/μ
= (1.2 × 27.78 × 6)/1.8 × 10⁻⁵
= 2.0833 × 10⁸
From the Reynolds number values, it can be concluded that the flow is turbulent since the Reynolds number is greater than 4000. Hence the flow of air over the coach is turbulent.
(a) Emissivity refers to the measure of an object’s capacity to emit thermal radiation relative to that of a perfect black body.
It is dimensionless and varies from 0 to 1, indicating the effectiveness of an object to emit energy to the surroundings concerning a black body of the same temperature. It is represented by the Greek symbol ε. Emissivity ranges between 0 and 1, with black surfaces having ε = 1, and surfaces that reflect all radiation have ε = 0.(b)The rate of heat transfer between two surfaces is given by the Stefan-Boltzmann law as,
Q/A = εσ(T₁⁴ − T₂⁴)
Here, Q/A is the amount of heat energy transfer per unit area, ε is the emissivity of surface A, σ is the Stefan-Boltzmann constant, T₁ is the temperature of surface A, and T₂ is the temperature of surface B.
Given, ε = 0.97,
A = 1 m²,
T₁ = 200°C = 473 K,
T₂ = 800°C = 1073 K,
σ = 5.67 × 10⁻⁸ W/m².K⁴
Substituting the values in the equation,Q/A = εσ(T₁⁴ − T₂⁴)= 0.97 × 5.67 × 10⁻⁸ (473⁴ − 1073⁴)= - 409.3 W/m²
Therefore, the amount of heat that needs to be removed from surface A per unit area to maintain its constant temperature is 409.3 W/m².
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As of 2018, how many space probes had flown past Uranus closely enough to take detailed pictures?
As of my knowledge cutoff in September 2021, no space probes have flown past Uranus closely enough to take detailed pictures.
The only spacecraft that has ever visited Uranus is Voyager 2, which conducted a flyby of the planet in 1986. During the flyby, Voyager 2 captured images and collected data, providing valuable information about the planet and its moons. However, the images obtained were not at a level of detail considered "detailed pictures" by today's standards. It's important to note that my information is accurate up until September 2021, and there may have been new missions or developments since then. For the most up-to-date information, it is recommended to refer to reliable sources or official space agency announcements.
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ou connect a battery, resistor, and capacitor as in Fig. 26.20a, where ε=36.0 V, C=5.00 μF, and R=120 Ω. The switch S is closed at t=0. (a) When the voltage across the capacitor is 8.00 V, what is the magnitude of the current in the circuit? (b) At what time t after the switch is closed is the voltage across the capacitor 8.00 V? (c) When the voltage across the capacitor is 8.00 V, at what rate is energy being stored in the capacitor?
(a) 0.300 A. is the magnitude of the current in the circuit. (b) infinity is the time at which the voltage reaches 8.00 V. (c) The rate at which energy is being stored in the capacitor is 2.40 watts.
(a) To determine the magnitude of the current when the voltage across the capacitor is 8.00 V, Ohm's Law can be applied. The current (I) in the circuit can be calculated as I = ε/R, where ε is the battery voltage and R is the resistance. Substituting the given values, I = 36.0 V / 120 Ω = 0.300 A.
(b) The time it takes for the voltage across the capacitor to reach 8.00 V can be determined by considering the charging time constant of the RC circuit. The charging time constant (τ) is given by the product of the resistance and the capacitance, τ = RC. Substituting the given values, τ = (120 Ω) × (5.00 μF) = 600 μs. To find the time (t) at which the voltage across the capacitor reaches 8.00 V, we can use the formula t = τ × ln(Vf/Vi), where Vf is the final voltage (8.00 V) and Vi is the initial voltage (0 V). Solving the equation, t = 600 μs × ln(8.00/0) = infinity (the voltage across the capacitor never reaches 8.00 V in this circuit configuration).
(c) The rate at which energy is being stored in the capacitor when the voltage across it is 8.00 V can be calculated by multiplying the current flowing through the capacitor by the voltage. Using the previously calculated current value (0.300 A) and the voltage (8.00 V), the rate of energy storage is P = IV = 0.300 A × 8.00 V = 2.40 W. Therefore, when the voltage across the capacitor is 8.00 V, the rate of energy being stored in the capacitor is 2.40 watts.
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The half-life of radium-226 is 1590 years. (a) A sample of radium-226 has a mass of 100mg. Find a formula for the mass of the sample that remains after t years. (b) Find the mass after 1000 years correct to the nearest milligram. (c) When will the mass be reduced to 30mg ?
The formula for the mass remaining after t years for a sample of radium-226 with an initial mass of 100mg is given by \($M(t) = 100 \times 0.5^{t/1590}$\). After 1000 years, the mass is approximately 87mg. The mass will be reduced to 30mg after approximately 2167 years.
(a) The decay of radium-226 follows an exponential decay model, where the amount of radium remaining decreases by half every 1590 years. The formula for the mass remaining after t years can be derived using the half-life concept. Let M(t) represent the mass remaining after t years, then the equation can be written as \($M(t) = 100 \times 0.5^{t/1590}$\). Here, 100 represents the initial mass of the sample, and 0.5 is the decay constant derived from the half-life.
(b) To find the mass after 1000 years, we substitute t = 1000 into the formula: \($M(1000) = 100 \times 0.5^{1000/1590}$\). Evaluating this expression gives us approximately 87mg.
(c) To determine when the mass will be reduced to 30mg, we need to solve the equation \($M(t) = 30$\) for t. Substituting M(t) and rearranging the equation gives us \($100 \times 0.5^{t/1590} = 30$\). Solving this equation, we find t ≈ 2167 years. Therefore, it will take approximately 2167 years for the mass of the radium-226 sample to be reduced to 30mg.
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what is the velocity at 11 seconds
Answer:
should be A
Explanation:
there isn't a 3, so it must be his deceleration, which would be 5-3=2
After t seconds the displacement, s(t), of a particle moving rightwards along the x-axis is given (in feet) by s(t) = 5t^2 − 7t + 2 . Determine the average velocity of the particle over the time interval [1, 2]. 1. average vel. = 6 ft/sec 2. average vel. = 5 ft/sec 3. average vel. = 8 ft/sec 4. average vel. = 7 ft/sec 5. average vel. = 4 ft/sec
the average velocity is given by the change in displacement divided by the change in time: average velocity = (change in displacement) / (change in time) = 8 ft / 1 sec = 8 ft/sec.
To determine the average velocity of the particle over the time interval [1, 2], we need to find the change in displacement and divide it by the change in time.
Given that the displacement function is s(t) = 5t^2 - 7t + 2, we can find the displacement at the endpoints of the interval:
s(1) = 5(1)^2 - 7(1) + 2 = 5 - 7 + 2 = 0
s(2) = 5(2)^2 - 7(2) + 2 = 20 - 14 + 2 = 8
The change in displacement is s(2) - s(1) = 8 - 0 = 8 feet.
The change in time is 2 - 1 = 1 second.
Therefore, the average velocity is given by the change in displacement divided by the change in time:
average velocity = (change in displacement) / (change in time) = 8 ft / 1 sec = 8 ft/sec.
Therefore, the correct answer is 3. average vel. = 8 ft/sec.
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Calculate the total displacement of a mouse walking along a ruler, if it begins at the location x = 5 m, and then does the following:
- It walks to x = 12 m
- It then walks a displacement of -8 m (NOT the same as x = -8 m)
- Lastly, it walks to the location x = 7 m
Answer:
18
Explanation:
12 - 5 + 8 = 15
12 - 8 = 4
7 - 4 = 3
15 + 3 = 18
Create a cylinder with a height of 9 cm and a radius of 5 cm. Notice that the estimated volume calculation is 706. 9 cm3. Drag the orange dot to double the radius. What do you notice about the volume?.
Answer:
Its D , Its is four times larger
Explanation:
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What role does the sun play in driving the water cycle in Antarctica
Answer:
the inner regions of antarctica gets only about 2 inches of precipitation per year. the winds here blow up snow from the land and put it into the atmosphere, which is part of the water cycle. and the sun helps out, too, causing sublimation to occur, which causes snow to evaporate directly into water vapor gas.
Explanation:
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A 2-kg mass is attached to a spring whose constant is 18 N/m, and it arrives at the position
of balance. From
t = 0, an external force equal to
f(t)=2sin2t.
Find the resulting equation of motion.
The resulting equation of motion for the system is given by m × x''(t) + k × x(t) = f(t), which is 2 × x''(t) + 18 * x(t) = 2 * sin(2t).
What is equation of motion?
The equations of motion are a set of mathematical relationships that describe the motion of objects under the influence of forces. There are different sets of equations of motion, depending on the specific scenario and the type of motion being considered (linear motion, projectile motion, circular motion, etc.). The equations of motion for linear motion, also known as the equations of uniformly accelerated motion.
To find the equation of motion for the system, we start with Newton's second law of motion, which states that the sum of forces acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the object is the 2-kg mass attached to the spring.
The force exerted by the spring is proportional to the displacement of the mass from its equilibrium position, and it can be expressed as F_spring = -k× x(t), where k is the spring constant and x(t) is the displacement of the mass at time t.
In addition to the force exerted by the spring, there is an external force f(t) = 2 ×sin(2t) acting on the mass.
Applying Newton's second law, we have the equation of motion: m ×x''(t) + k ×x(t) = f(t).
Substituting the given values, m = 2 kg and k = 18 N/m, we obtain 2 ×x''(t) + 18 × x(t) = 2 ×sin(2t).
Therefore, the resulting equation of motion for the system is 2 × x''(t) + 18 × x(t) = 2 × sin(2t).
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what is the term for an orbit that electrons occupy at a fixed distance from the nucleus; designated 1, 2, 3, 4 ...? group of answer choices energy level orbital shell subshell none of the above
The term for an orbit that electrons occupy at a fixed distance from the nucleus is called an energy level.
What are energy levels?Electrons occupy specific energy levels in an atom, which are determined by the amount of energy required to move an electron from its present energy level to the next higher energy level. The energy levels are designated by a number, which ranges from one to seven. The lowest energy level is one, and the highest energy level is seven.
Electrons in the first energy level are the closest to the nucleus, while electrons in the seventh energy level are the farthest away.
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in the absence of friction, how much work would a child do while pulling a 12 k g wagon a distance of 1.2 m with a 22 n force? a) 18 j b) 30 j c) 14 j d) 26 j
The work done by the child while pulling the 12 kg wagon a distance of 1.2 m with a 22 N force, in the absence of friction, is 26 J (joules).
The work done is calculated using the formula:
Work = Force × Distance × cos(θ)
Where:
Force is the applied force (22 N)
Distance is the displacement (1.2 m)
θ is the angle between the force and the direction of displacement (assuming it is 0 degrees, as there is no information provided regarding the angle)
Plugging the given values into the formula:
Work = 22 N × 1.2 m × cos(0) = 26 J
Therefore, the child would do 26 joules of work while pulling the wagon.
In conclusion, the correct answer is d) 26 J. The child would do 26 joules of work when pulling the 12 kg wagon a distance of 1.2 m with a 22 N force in the absence of friction. The calculation is based on the work formula, taking into account the given values.
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