The detection technique that was used to find the first exoplanet is Astrometry. What is an exoplanet? An exoplanet, also known as an extrasolar planet, is a planet that orbits a star other than the Sun in a planetary system. As of 1 April 2021, 4,395 exoplanets in 3,245 planetary systems have been identified.
Radial velocity, astrometry, and transits are the most prevalent methods used to detect exoplanets. However, astrometry was used to detect the first exoplanet. Astrometry is a detection method that involves tracking the movement of a star around the center of mass in its solar system. Astrometry was used to detect the first exoplanet, which was discovered in 1995.
The exoplanet orbits a star called 51 Pegasi and has a mass similar to that of Jupiter. This discovery opened up a whole new field of astrophysics research and led to the detection of thousands of exoplanets. Astrometry is a detection method that involves tracking the movement of a star around the center of mass in its solar system. Astrometry was used to detect the first exoplanet, which was discovered in 1995.
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we utilized the normal force as compression force. is this right? show your reasoning based on a free-body diagram of the forces acting on the spring.
Based on the free-body diagram of the forces acting on the spring, we can determine that the normal force can be utilized as a compression force.
When considering a spring, it is important to consider its behavior when it is compressed. A free-body diagram of the forces acting on a spring that is being compressed can be used to determine if the normal force is being utilized as a compression force.In general, the normal force is a force that acts perpendicular to a surface. When an object is resting on a surface, the normal force acts in the opposite direction of gravity. However, when a spring is compressed, the normal force can act as a compression force. This is because the normal force is exerted by a surface, and in the case of a compressed spring, the surface is the object or force that is compressing the spring.In a free-body diagram of a compressed spring, the normal force is represented by an arrow pointing upwards.
This arrow represents the force that is being exerted on the spring by the object or force that is compressing it. The weight of the spring is represented by an arrow pointing downwards, and the tension force in the spring is represented by an arrow pointing upwards. If the normal force is greater than the weight of the spring, the spring will compress. If the normal force is less than the weight of the spring, the spring will expand.
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a nonconducting wall carries a uniform charge density of 8.52 μc/cm2 . what is the electric field 9.7 cm in front of the wall? the permittivity of a vacuum is 8.8542 × 10−12 c 2 /n · m2 .
The electric field in front of a nonconducting wall with a charge density of 8.52 μC/cm² is approximately 4.82 × 10⁶ N/C. To find the electric field in front of a nonconducting wall with a uniform charge density, we can use the formula for the electric field due to a charged plane:
E = σ / (2ε₀)
where E is the electric field, σ is the charge density, and ε₀ is the permittivity of vacuum.
Given that the charge density is 8.52 μC/cm², we need to convert it to the appropriate units. 1 μC/cm² is equal to 10⁻⁶ C/m². Therefore, the charge density becomes 8.52 × 10⁻⁶ C/m².
Substituting the values into the formula, we have:
E = (8.52 × 10⁻⁶ C/m²) / (2 × 8.8542 × 10⁻¹² C²/(N·m²))
Simplifying the expression, we get:
E = 4.82 × 10⁶ N/C
Therefore, the electric field 9.7 cm in front of the wall is approximately 4.82 × 10⁶ N/C.
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Determine the orbital speed of a satellite that circles the Earth with a period of 1.60 104 s. The mass of the Earth is 5.97 1024 kg.
I need help on how to find the orbital speed. I know that we have to find the radius first. Please help and explain!
The orbital speed of the satellite is approximately 1.19 x 10^7 m/s. To find the orbital speed of a satellite, we first need to find the radius of the satellite's orbit.
We can use the period of the satellite's orbit and the gravitational force between the satellite and the Earth. The period (T) of an orbit is the time it takes for the satellite to complete one full revolution. In this case, the period is given as 1.60 x 10^4 s. The gravitational force (F) between the satellite and the Earth is given by the equation:
F = (G * m1 * m2) / r^2
Where G is the gravitational constant (approximately 6.674 x 10^-11 Nm^2/kg^2), m1 is the mass of the satellite, m2 is the mass of the Earth, and r is the radius of the satellite's orbit.
Since the gravitational force provides the necessary centripetal force for the satellite to maintain its orbit, we can equate the gravitational force to the centripetal force:
F = (m * v^2) / r
Where m is the mass of the satellite and v is the orbital speed.
By equating the two expressions for the force, we can solve for the orbital speed:
(G * m1 * m2) / r^2 = (m * v^2) / r
Rearranging the equation:
v^2 = (G * m2) / r
Taking the square root of both sides:
v = sqrt((G * m2) / r)
Now, we can substitute the given values: m2 = 5.97 x 10^24 kg (mass of the Earth) and T = 1.60 x 10^4 s (period).
First, let's find the radius (r) using the period (T):
T = (2 * π * r) / v
1.60 x 10^4 s = (2 * π * r) / v
Solving for r:
r = (T * v) / (2 * π)
Substituting the known values:
r = (1.60 x 10^4 s * v) / (2 * π)
Now, we can substitute this expression for r into the equation for orbital speed:
v = sqrt((G * m2) / r)
v = sqrt((G * m2) / ((1.60 x 10^4 s * v) / (2 * π)))
Simplifying the equation by squaring both sides:
v^2 = (G * m2) / ((1.60 x 10^4 s * v) / (2 * π))
Multiplying both sides by (1.60 x 10^4 s * v) / (2 * π):
v^2 * ((1.60 x 10^4 s * v) / (2 * π)) = G * m2
Expanding and rearranging the equation:
v^3 = (G * m2 * (1.60 x 10^4 s)) / (2 * π)
Now, we can substitute the values: G = 6.674 x 10^-11 Nm^2/kg^2 and m2 = 5.97 x 10^24 kg:
v^3 = (6.674 x 10^-11 Nm^2/kg^2 * 5.97 x 10^24 kg * (1.60 x 10^4 s)) / (2 * π)
Simplifying the equation:
v^3 = 1.074 x 10^20
Taking the cube root of both sides:
v = (1.074 x 10^20)^(1/3)
Calculating the value, we find:
v ≈ 1.19 x 10^7 m/s
Therefore, the orbital speed of the satellite is approximately 1.19 x 10^7 m/s.
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A force of 30 newtons and a force of 20 newtons act concurrently on an object Which of the following resultant forces could be produced using these two forces? (1) 0 N (2) 25 N (3) 5 N (4) 60 N roof: Explain your reasoning/show calculations.'
To determine the resultant force produced by two concurrent forces, we can use vector addition. The resultant force is the vector sum of the individual forces.Based on the calculations, none of the given options (2), (3), or (4) can be the resultant force produced by the combination of the forces.
Given that a force of 30 newtons and a force of 20 newtons act concurrently, we need to add these two forces together to find the resultant force.
Option (1) 0 N: This cannot be the resultant force because adding two non-zero forces will never result in a zero force.
Option (2) 25 N: To calculate the resultant force, we add the magnitudes of the forces together: 30 N + 20 N = 50 N. Therefore, a resultant force of 25 N is not possible.
Option (3) 5 N: Similarly, adding the magnitudes of the forces together: 30 N + 20 N = 50 N. Therefore, a resultant force of 5 N is not possible.
Option (4) 60 N: Adding the magnitudes of the forces together: 30 N + 20 N = 50 N. Therefore, a resultant force of 60 N is not possible.
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A 1.40 mm-diameter ball bearing has 2.20×10^9 excess electrons.
What is the ball bearing's potential? Express your answer with the appropriate units.
To calculate the ball bearing's potential, we can use the equation for electric potential, which is given by:V = k * (Q / r).The ball bearing's potential is approximately 5.70 × [tex]10^{-7}[/tex] volts.
In this case, we are given the diameter of the ball bearing, so we need to calculate the radius (r) first:
Radius (r) = Diameter / 2 = 1.40 mm / 2 = 0.70 mm = 0.70 × [tex]10^{-3}[/tex] m
The excess charge is given as 2.20 × [tex]10^{9}[/tex] electrons. To convert this to Coulombs, we need to multiply it by the elementary charge (e), which is approximately 1.602 × [tex]10^{-19}[/tex] C.
Charge (Q) = (2.20 × [tex]10^{9}[/tex]) × (1.602 × [tex]10^{-19}[/tex]) C
Now we can calculate the potential (V):where k is the Coulomb constant (k ≈ 8.99 × [tex]10^{9}[/tex]10^9 [tex]N m^2/C^2[/tex]),
V = (8.99 × [tex]10^{9}[/tex] [tex]N m^2/C^2[/tex]) * [(2.20 × [tex]10^{9}[/tex]) × (1.602 ×[tex]10^{-19}[/tex] ) C] / (0.70 × [tex]10^{-3}[/tex] m)
Calculating this expression gives:
V ≈ 5.70 ×[tex]10^{-7}[/tex] V
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a ray of light is refracted by an angle of 34.5 as it enters water from glass. find te angle of incidentce
A ray of light is refracted by an angle of 34.5 as it enters water from glass. We need to find the angle of incidence.If the angle of refraction is given, we can find the angle of incidence using Snell's law.
Snell's law states that the ratio of the sines of the angles of incidence and refraction is constant for a given pair of media. The formula is n1sinθ1 = n2sinθ2, where n1 and n2 are the refractive indices of the two media and θ1 and θ2 are the angles of incidence and refraction, respectively.
So, we can use this formula to find the angle of incidence. Given, the angle of refraction, θ2 = 34.5 degrees.The refractive indices of glass and water are 1.5 and 1.33 respectively. So, we can substitute these values in the formula and solve for the angle of incidence.n1sinθ1 = n2sinθ2⇒ sinθ1 = (n2/n1) sinθ2⇒ sinθ1 = (1.33/1.5) sin 34.5⇒ sinθ1 = 0.753⇒ θ1 = sin⁻¹(0.753)≈ 49.9 degreesTherefore, the angle of incidence is approximately 49.9 degrees.
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Two particles are separated by 0.38 m and have charges of -6.25 x 10-°Cand 2.91 x 10-9 C. Use Coulomb's law to predict the force between the
particles if the distance is doubled. The equation for Coulombs’ law is Fe=kg1g2/r^2 and the constant, k, equals 9.00 x 10^9 N•m^2/C^2
Answer:
The answer is B.
Explanation:
Two particles are separated by 0.38 m, and the force between the particles, if the distance is doubled, is F = -2.83 × 10⁻⁷ N.
What is a magnetic field?
It is the type of field where the magnetic force is obtained. With the help of a magnetic field.
The magnetic force is obtained, it is the field felt around a moving electric charge.
Putting the values in the equation to calculate the force
[tex]F = 9 \times 10^9 \times \dfrac{-6.2 \times 10^-^6 \times 2.91 \times 10^-^9}{0.38} =\ -2.83 \times 10^-^7 N[/tex]
Thus, the force [tex]\rm F =\ -2.83 x 10^-^7 N[/tex]
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A steel factory is expected to have an annual maximum load of 120MW, and the LF of 0.85 A power plant (PP) constructed to supply this load have the following characteristics: - PP Installed capacity: 140MW I/O curve: 80+6P+0.009P
2
MBTU/h Capital cost =2400SR/kW, Annual Fixed charge rate (FCR)=11%, Annual O\&M cost =45MSR/ year, fuel price =8SR/MBTU. Find out: a. The cost of producing a unit of energy (H/kWh). b. The load at which maximum efficiency occurs. c. The increase in input required to increase the output from 60MW to 90MW.
The cost of energy production is X SR/kWh. Maximum efficiency occurs at Y MW load. To increase output from 60MW to 90MW, Z MW additional input is needed.
a. To find the cost of producing a unit of energy (H/kWh), we need to calculate the operating cost per unit of energy produced by the power plant. The operating cost per unit of energy can be determined by dividing the total cost (including fixed and variable costs) by the total energy output. The total cost consists of the annual fixed charges and the annual operating and maintenance cost.
First, let's calculate the fixed charges per year:
Fixed charges = Installed capacity × Capital cost × FCR
Fixed charges = 140 MW × 2400 SR/kW × 11%
Fixed charges = 369,600 SR/year
Next, let's calculate the variable cost per year:
The variable cost is based on the fuel price and the energy output. The energy output can be determined by integrating the I/O curve equation, where P represents the power output of the power plant. We'll integrate the equation over the desired output range, from 0 MW to the maximum load of 120 MW.
Variable cost = ∫[0, P] (80 + 6P + 0.009P^2) dP
Variable cost = [80P + 3P^2 + 0.003P^3/3] evaluated from 0 to P
Variable cost = 80P + 3P^2 + 0.003P^3/3
Now, we can calculate the total cost per year:
Total cost = Fixed charges + Annual O&M cost + Variable cost
Total cost = 369,600 SR/year + 45,000,000 SR/year + (80P + 3P^2 + 0.003P^3/3)
To find the cost of producing a unit of energy, we divide the total cost by the total energy output:
H/kWh = Total cost / Total energy output
b. To determine the load at which maximum efficiency occurs, we need to find the point on the I/O curve where the slope is zero. This can be achieved by taking the derivative of the I/O curve equation with respect to P and setting it equal to zero.
d(I/O curve)/dP = 6 + 0.018P = 0
P = -6 / 0.018
P = -333.33 MW
Since a negative power output is not physically meaningful in this context, we can ignore this result. Therefore, there is no load at which maximum efficiency occurs within the given constraints.
c. To calculate the increase in input required to increase the output from 60 MW to 90 MW, we need to find the difference between the inputs required at these two output levels.
Input required at 60 MW: P1 = 60 MW
Input required at 90 MW: P2 = 90 MW
Increase in input = P2 - P1
Therefore, the increase in input required to increase the output from 60 MW to 90 MW is 90 MW - 60 MW = 30 MW.
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The electric potential inside an object made from a conducting material is O zero everywhere. O greatest near the center of the object. O greatest at the surface of the object. O unaffected by the presence of the conductor O constant, but not necessarily zero.
The correct answer is O constant, but not necessarily zero.
When an object is made from a conducting material, the electric potential inside the object is constant. This is known as the "electrostatic equilibrium" of conductors. However, the value of the electric potential inside the conductor can be any constant value and is not necessarily zero.
In an electrostatic equilibrium, the charges within the conductor redistribute themselves in such a way that the electric field inside the conductor becomes zero. As a result, the electric potential inside the conductor remains constant. This means that the electric potential is the same at all points inside the conductor, regardless of their location.
Therefore, option O constant, but not necessarily zero, is the correct answer. The electric potential inside a conducting object is constant throughout the object but can have any value, not necessarily zero.
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Assume circular orbits and no losses.
The radius of Jupiter's orbit is dJ = 7.78x1011 m, and the Radius of Jupiter is RJ = 7.14x107 m.
(a) Determine the flux of solar radiation at the orbit of Jupiter.
(b) Jupiter has an Albedo of A=0.5, which means that 50% of the radiation is reflected.
Using this value, calculate Jupiter's total Luminosity.
At Jupiter's orbit, the solar radiation flux is approximately 50 W/m^2, while Jupiter's total luminosity is estimated at 3.823x10^17 Watts.
(a) The flux of solar radiation at a given distance from the Sun can be determined using the inverse square law. According to the law, the intensity of radiation decreases with the square of the distance. The luminosity of the Sun, which is the total power it radiates, is approximately 3.828x10^26 Watts. Therefore, at the orbit of Jupiter, which has a radius of dJ = 7.78x10^11 m, the flux of solar radiation can be calculated as follows:
Flux = Luminosity / (4 * π * distance^2)
Flux = 3.828x10^26 / (4 * π * (7.78x10^11)^2)
Flux ≈ 50 W/m^2
(b) The albedo of an object represents the fraction of incident radiation that is reflected. In this case, Jupiter's albedo is given as A = 0.5, meaning that 50% of the radiation it receives is reflected. To calculate Jupiter's total luminosity, we need to consider both the absorbed and reflected radiation.
Luminosity = (1 - Albedo) * Flux * Surface Area
The surface area of a sphere can be calculated using its radius (RJ) as follows:
Surface Area = 4 * π * (radius^2)
Surface Area = 4 * π * (7.14x10^7)^2
Substituting the values into the formula, we get:
Luminosity = (1 - 0.5) * 50 * 4 * π * (7.14x10^7)^2
Luminosity ≈ 3.823x10^17 Watts
Therefore, Jupiter's total luminosity, accounting for its albedo, is estimated to be approximately 3.823x10^17 Watts.
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This is a direct calculation question. You are in a spacecraft orbiting Venus. This is a direct calculation question. You are in a spacecraft orbiting Venus.
The mass of Venus is 4.87E+24 kg, and it's radius is 6.05E+3 km.
What is the escape velocity from the surface? ______m/s.
At a height of 13 radii above the surface of the Venus, what is the circular orbital velocity (orbital velocity, not escape velocity)? _____m/s
The escape velocity of the spacecraft, launched from the surface, is about 10.3km/s, and when launched from a height of 13R, its orbital velocity would be around 7.53km/s.
We need to understand the basics of how human-made objects are launched into space and the effect of gravity on such bodies.
Any satellite or spacecraft launched into space first needs a certain speed to orbit around the planet. Any speed less than this would result in the spacecraft falling back into the planet due to its gravity. This speed is needed to beat the centripetal force on the satellite.
This velocity is known as the orbital velocity of the body.
In a few cases, we need the body to be sent out of the gravitational field of the planet, thus allowing it to explore planets and moons outside the field. This would require an even larger velocity, by inference. We need the body to not stop before it crosses the boundaries of the planet's field
This velocity is known as the escape velocity of the body.
Now, we define the expressions for these velocities, from the surface.
V (Orbital) = √(G*M/R)
V (Escape) = √(2*G*M/R)
Notice that escape velocity is √2 times the orbital velocity for any planet.
In the question, we have
M = 4.87E + 24
R = 6.05E + 3 for Venus
So,
The escape velocity from the surface
V = √2 *√[6.67*10⁻¹¹ *(4.87E + 24)/6.05E + 3]
V ≈ 10,356 m/s = 10. 35 km/s
For orbital velocity, we need to take into consideration the height of the body.
Thus, in place of R (dist. from the center), we use
new R = R + 13R = 14R
So, the orbital velocity from the given height is:
V = √[6.67*10⁻¹¹ *(4.87E + 24)/14(6.05E + 3)]
V = 7531 m/s = 7.53km/s
Thus, the orbital velocity for the body is 7.53km/s from the height of 13R, and the escape velocity is 10.35km/s.
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a particle is movieng with velcotiy v(t) t^2-9t 18 with distance s measured in meters left or irght of
The position function of the particle is obtained by integrating the given velocity function. The sign of the coefficient of the highest-degree term in the position function indicates the direction of the particle's movement (left or right).
To determine the particle's position, we need to integrate its velocity function with respect to time. Given that the velocity function is v(t) = t^2 - 9t + 18, we can find the position function by integrating it.
∫(t^2 - 9t + 18) dt
Integrating each term separately:
∫t^2 dt - ∫9t dt + ∫18 dt
Using the power rule of integration, we get:
(1/3)t^3 - (9/2)t^2 + 18t + C
Where C is the constant of integration.
This is the position function, which represents the distance the particle has traveled from some reference point. The position function can provide information about whether the particle is moving left or right based on the signs of the terms. If the coefficient of the t^3 term is positive, it indicates that the particle is moving to the right, and if it is negative, it indicates movement to the left.
Please note that without specific initial conditions or a definite time interval, we cannot determine the exact position or direction of the particle. Additional information is needed to provide a more specific analysis of its motion.
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How is taring accomplished?
Answer:
by taring a balance the process of weighing by difference is done automatically. When a balance is tared with an object, on the balance pan, the weight of the object will be automatically subtracted from reading until the balance is re-tared or zeroed
Answer:
by taring a balance the process of weighing by difference is done automatically. When a balance is tared with an object, on the balance pan, the weight of the object will be automatically subtracted from reading until the balance is re-tared or zeroed
Explanation:
click the play button next to orbit in the upper left. the planet should move around the elliptical orbit, and two segments of the orbit should become shaded in green. what aspect(s) of the orbit and shaded segments are the same?
When the user clicks the play button next to the orbit in the upper left, the planet should move around the elliptical orbit, and two segments of the orbit should become shaded in green. The two aspects of the orbit and shaded segments that are the same are the equal areas that are swept out in equal time.
The shaded segments are swept over the equal amount of time when the planet moves in the elliptical orbit. Kepler's Second Law is based on the principle of equal areas in equal time. This law implies that a planet in an elliptical orbit has a rate of motion that varies depending on its location. A planet moves faster near the Sun than it does farther away because the radius between the Sun and the planet varies during its orbit.
As a result, a planet in an elliptical orbit moves in an elliptical orbit with varying velocities, making equal areas of the orbit swept in equal time. When the user clicks the play button next to the orbit in the upper left, the planet should move around the elliptical orbit, and two segments of the orbit should become shaded in green. The two aspects of the orbit and shaded segments that are the same are the equal areas that are swept out in equal time.
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if a person's hearing threshold at 1000 hz and 2000 hz is 60 db hl, what degree of hearing loss is it at these frequencies?
The degree of hearing loss is Mild to Moderate at these frequencies (1000 Hz and 2000 Hz).
A hearing threshold of 60 dB HL at 1000 Hz and 2000 Hz means that the person is experiencing mild to moderate hearing loss at these frequencies. dB HL stands for decibels hearing level, which is a measure of how loud a sound needs to be in order for someone to hear it compared to an average person with normal hearing. The degree of hearing loss at these frequencies (1000 Hz and 2000 Hz) is mild to moderate.
Hearing loss is defined by the decibel level of the softest sound a person can hear. The degree of hearing loss is determined by comparing the individual's hearing thresholds to a range of average thresholds. Mild hearing loss is characterized by thresholds between 25 and 40 dB HL, moderate hearing loss by thresholds between 40 and 60 dB HL, severe hearing loss by thresholds between 60 and 80 dB HL, and profound hearing loss by thresholds above 80 dB HL.
In this case, the person's hearing threshold at 1000 Hz and 2000 Hz is 60 dB HL, which falls within the range of mild to moderate hearing loss. Therefore, the degree of hearing loss at these frequencies is mild to moderate.
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are scientific theories and laws developed in the acquisition of scientific knowledge
Answer:
Scientific theories and laws develop from the acquisition of scientific knowledge.
Explanation:
t
If you were told an atom was an ion, you would know the atom must have a...
Neutral Charge
Charge
Negative Charge
Positive Charge
---- Thank you !
Answer:
option (b) charge
Explanation:
a projectile is fired vertically upward with a velocity of 224 ft/s, so its position function can be modeled as s(t)
The formula for a projectile's position function is given as follows:
s(t) = -16t² + v₀t + s₀
Where: v₀ is the initial velocity
s₀ is the initial position
t is the time elapsed
Let's calculate s(t) for the given data.
The projectile is fired vertically upwards with an initial velocity of 224 ft/s,
so v₀ = 224 ft/s.
Since the projectile is fired upwards, its initial position is 0 ft.
Therefore,
s₀ = 0 ft.
Substituting the function in the formula, s(t) = -16t² + 224t + 0s(t)
= -16t² + 224t
The position function of the projectile is s(t) = -16t² + 224t.
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A 73 kg human sprinter can accelerate from rest to 10 m/s in 3.5 s . During the same time interval, a 29 kg greyhound can go from rest to 20 m/s. Part A What is the average power output of the human? Average power over a time interval Δt is ΔE/Δt. Part B What is the average power output of the greyhound?
Part A: The average power output of the human sprinter is approximately 1002.3 watts.
Part B: The average power output of the greyhound is approximately 2746.3 watts.
Part A: To calculate the average power output of the human sprinter, we can use the formula ΔE/Δt, where ΔE is the change in energy and Δt is the time interval. The change in energy can be calculated using the formula ΔE = (1/2)mv², where m is the mass and v is the final velocity.
ΔE = (1/2) * 73 kg * (10 m/s)² = 3650 J
The time interval is given as 3.5 seconds, so we can now calculate the average power:
Average power = ΔE/Δt = 3650 J / 3.5 s ≈ 1002.3 W
Therefore, the average power output of the human sprinter is approximately 1002.3 watts.
Part B: Similarly, for the greyhound, we can calculate the change in energy using the same formula:
ΔE = (1/2) * 29 kg * (20 m/s)² = 11600 J
Using the same time interval of 3.5 seconds, we can calculate the average power:
Average power = ΔE/Δt = 11600 J / 3.5 s ≈ 2746.3 W
Therefore, the average power output of the greyhound is approximately 2746.3 watts.
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Im timed!!
Tom wants to conduct a scientific study but he needs to finish by the end of the school year. What practical way
could Tom work around this limitation and be successful in his scientific study?
conduct smaller studies over time
o create models for large or complex components
limit the scope of the study
acknowledge limitations
Answer:
c. limit the scope of the study
Explanation:
i did it.
Answer:
c limit the scope of the study
Explanation:
why are we mentley unstable to time travle
Answer:
Mental time travel has been studied by psychologists, cognitive neuroscientists, philosophers and in a variety of other academic disciplines. Major areas of interest include the nature of the relationship between memory and foresight, the evolution of the ability (including whether it is uniquely human or shared with other animals), its development in young children, its underlying brain mechanisms, as well as its potential links to consciousness, the self, and free will.
Explanation:
5. Imagine you're an astronomer who discovers a blue supergiant star that emits high-intensity light with a wavelength of 400 nm. How would the temperature of this star compare to the sun? How do you know?
The temperature of the blue supergiant star would be hotter than the Sun.
We can determine this based on the concept of Wien's displacement law, which states that the wavelength of peak intensity emitted by a black body is inversely proportional to its temperature. The Sun, with its characteristic yellow-white light, has a temperature of approximately 5,500 degrees Celsius (5,773 Kelvin), which corresponds to a peak wavelength of around 500 nm. In comparison, the blue supergiant star emits high-intensity light with a wavelength of 400 nm, which is shorter than the Sun's peak wavelength. Since shorter wavelengths correspond to higher temperatures, the blue supergiant star must have a higher temperature than the Sun. These stars have surface temperatures typically exceeding 10,000 degrees Celsius (10,273 Kelvin) and can reach even higher temperatures, up to tens of thousands of degrees Celsius.
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8. What is the force of attraction between a 20,000 kg truck and a 3,200 kg car when separated by 4 meters? a. 0.0003 N b. 0.5 N c. 9.8 m/s/s d. 10 N
When separated by 4 meters, the 20,000-kilogram truck and the 3,200-kg automobile are attracted to one other with a force of attraction of roughly 0.0000016748 N. The right response in this case is option A.
Newton's rule of universal gravitation, which says that the force between two things is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers, may be used to compute the force of attraction between two objects. The equation can be written mathematically as:
F = G * (m1 * m2) / r^2
Where:
F is the gravitational constant, while G is the force of attraction.
The two objects' masses are m1 and m2, and their separation from one another's centers is r.
In this instance, the truck weighs 20,000 kg, whereas the automobile weighs 3,200 kg. They are 4 meters apart from one another.
With these values entered into the formula, we obtain:
F = (6.674 × 10^-11 N(m/kg)^2) * (20,000 kg * 3,200 kg) / (4 m)^2
F = 1.6748 × 10^-6 N
Therefore, at a distance of 4 meters, the force of attraction between the 3,200-kilogram automobile and the 20,000-kg truck is roughly 0.0000016748 N.
Option A is therefore the one that comes the closest to this value, at 0.0003 N.
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19. Use a scale ray diagram to find the image position of
an object that is 30 cm to the left of a convex lens with
a 10-cm focal length.
If Q=500L0.6K0.8, then which of the followings is true?
MPL=500L−0.4K0.8
MPL=300L−0.4
MPK=400L0.6K−0.2
MPK=400K−0.2
The correct statement is MPK = 400K^(-0.2). This is because the marginal product of capital (MPK) is derived by taking the partial derivative of the production function with respect to capital (K), holding labor (L) constant
To find the marginal product of labor (MPL) and the marginal product of capital (MPK), we need to take partial derivatives of the production function Q = 500L^0.6K^0.8 with respect to each input.
First, let's find MPL:
∂Q/∂L = 500 * 0.6 * L^(0.6-1) * K^0.8
Simplifying, we have:
MPL = 300L^(-0.4)K^0.8
Comparing this with the given options, we see that MPL = 300L^(-0.4)K^0.8 is not one of the options. Therefore, this option is not true.
Now, let's find MPK:
∂Q/∂K = 500 * 0.8 * L^0.6 * K^(0.8-1)
Simplifying, we have:
MPK = 400L^0.6K^(-0.2)
Comparing this with the given options, we see that MPK = 400K^(-0.2) is one of the options. Therefore, this option is true. In conclusion, the correct statement is MPK = 400K^(-0.2).
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Your empty hand is not hurt when it bangs lightly against a wall. Why does your hand hurt when it bangs against the wall while carrying a heavy load? Which of Newton's laws is most applicable?
The newton third law of motion and the second law of motion should be applied in different situations.
Newton law of motion:In the case when it is not at the time when empty hangs lightly should be against the wall because here there is the inverse reaction force should be on you. So here the third law should be used.
In the case when we carry a heavy load so our hand should be hurt due to the downward force act so here the second law should be used.
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Challenge: In a collision, a 15 kg object moving with a velocity of 3 m/s transfers all of its momentum to a 5 kg object. What would be the velocity of the 5 kg object after the collision? (Hint: Think about the Law of Conservation of Momentum and draw a picture of what is happening to get started!) Motion and Force Unit dance 201 32
After the collision, the 5 kg object would move with a velocity of 9 m/s in the same direction as the initial velocity of the 15 kg object.
According to the Law of Conservation of Momentum, the total momentum before the collision is equal to the total momentum after the collision, provided no external forces are acting on the system.
The momentum of an object is defined as the product of its mass and velocity. Therefore, the momentum of the 15 kg object before the collision is given by:
Momentum of 15 kg object before collision = mass × velocity = 15 kg × 3 m/s = 45 kg·m/s
Since the 15 kg object transfers all of its momentum to the 5 kg object, the momentum of the 5 kg object after the collision will be equal to 45 kg·m/s. Let's denote the velocity of the 5 kg object after the collision as v.
Momentum of 5 kg object after collision = mass × velocity = 5 kg × v
According to the Law of Conservation of Momentum, we can equate the momentum before the collision to the momentum after the collision:
45 kg·m/s = 5 kg × v
Solving this equation for v, we find:
v = 45 kg·m/s / 5 kg = 9 m/s
Therefore, the velocity of the 5 kg object after the collision would be 9 m/s, in the same direction as the initial velocity of the 15 kg object.
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can many vehicles passing through non-cemented roads cause soil erosion
Answer: Yes, many vehicles passing through non-cemented roads cause soil erosion.
Explanation: Soil erosion is a gradual process that occurs when the impact of water or wind removes upper layer of soil particles, causing the soil to deteriorate. Since the road is non-cemented so the soil is all exposed to the everything. When a vehicle pass through it the motion of the vehicles causes a mild wind which sweeps away the upper layer of the soil. When a lot many vehicles pass, the quantity soil being swept away increases which leads to soil erosion.
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a bicycle completed the first 300.0 m of a ride in 45.5 s. what was the bicycle's average speed in kilometers per hour?
The bicycle's average speed in kilometers per hour is: 23.81 km/h. To calculate the bicycle's average speed in kilometers per hour, we have to use the formula for speed. The formula for average speed is: Speed = Distance ÷ Time
Let's first convert the distance covered by the bicycle to kilometers.
1 km = 1000 m
Therefore, 300.0 m = 0.3 km
Now we can calculate the average speed of the bicycle in kilometers per hour by dividing the distance by time and converting the answer to kilometers per hour.
Average speed = Distance ÷ Time
= 0.3 km ÷ 45.5 s
First, we have to convert the time to hours.1 hour = 60 minutes and 1 minute
= 60 seconds
Therefore, 1 hour = 60 × 60
= 3600 seconds
Now we can convert the time to hours.
Time = 45.5 s ÷ 3600 s/hour
= 0.0126 hours
Therefore, the bicycle's average speed in kilometers per hour is:
Average speed = 0.3 km ÷ 0.0126 hours
= 23.81 km/h (rounded to two decimal places).
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Describe 2 potential problems or limitations of ratio
analysis.