a. Star A
b. Can't tell
QUESTION 3) a. Can't tell
QUESTION 4) a. Star A
QUESTION 5) b. Star B
QUESTION 6 )The brightest set of stars would best represent the relative distribution in a sample of all stars in our Galaxy.
a) In scenario a, where Star A is red and Star B is blue, we can tell that Star A is more luminous. Generally, blue stars are hotter and more luminous than red stars. Therefore, Star B being blue implies it has a higher luminosity compared to Star A.
b) In scenario b, no information is provided about the colors or sizes of Star A and Star B. Without this information, we cannot determine which star is more luminous.
3) In scenario a, where Star A and Star B are the same color but Star A is larger than Star B, we cannot determine which star is more luminous based solely on their sizes and colors. Luminosity depends on factors such as surface temperature and stellar composition, which are not provided
4) In scenario a, where Star A is larger than Star B and Star A is blue while Star B is red, we can tell that Star A is more luminous. As mentioned before, blue stars are generally hotter and more luminous than red stars. Additionally, the larger size of Star A suggests it has a higher luminosity.
5) In scenario b, where Star A is larger than Star B and Star A is red while Star B is blue, we can tell that Star B is more luminous. Blue stars are hotter and more luminous than red stars, so Star B being blue implies it has a higher luminosity. Additionally, the larger size of Star A does not necessarily mean it is more luminous in this case.
The brightest set of stars would best represent the relative distribution in a sample of all stars in our Galaxy.
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HELP ASAP!! WILL TRY TO GIVE BRAINLIEST
Distinguish among hypertonic, hypotonic, and isotonic solutions
Explanation:
ttggffgggggtttggcasvsydjx
What is the low end of the range of surface temperature for blue white stars
B 10,000 - 30,000 K Blue-white stars
A 7,500 - 10,000 K White stars
F 6,000 - 7,500 K Yellow-white stars
G 5,000 - 6,000 K Yellow stars (like the Sun)
The lowest temperature stars are red while the hottest stars are blue. Astronomers are able to measure the temperatures of the surfaces of stars by comparing their spectra to the spectrum of a black body.
As you walk to science class, you start out at a speed of 2 m/s, for a time of 120 seconds (you’re really excited to get to class). Then you see your friend and slow down to a speed of 0.5m/s for 30 seconds. You stop at your locker for 40 seconds (a speed of 0 m/s). You realize that you are about to be late so you hurry to class at a speed of 1 m/s and get to class just as the bell rings (4 minutes after your trip started). How far did you travel total?
The total travelled distance is • Speed, time and distance is one of the most common and important topics in the Mathematics or Quant section.
What is Speed?Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
For instance, 50 km/hr west denotes the velocity of a car whereas 50 km/hr (31 mph) denotes the speed at which it is moving down a route.
The average speed of an object is determined by dividing the distance traveled by the amount of time it takes the object to reach the distance.
Therefore, The total travelled distance is • Speed, time and distance is one of the most common and important topics in the Mathematics or Quant section.
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What does Newton's law all about?
HELPPPPP
Jermaine runs exactly 2 laps around a 400 meter track.
Find displacement.
Answer:
0
Explanation:
she runs 2 whole laps around a 400 meter track, but she is always ending up back where she started, therefor there is no displacement.
Ice at 0 degrees celsius is mixed with water at 0 degrees celsius in a perfectly insulated calorimeter. what options correctly describe what will happen next.
1. what happens depends on the relative masses of ice and water.
2. all the ice will melt.
3. no ice will melt and no water will freeze.
4. all the water will freeze.
Ice at 0 degrees celsius is mixed with water at 0 degrees celsius in a perfectly insulated calorimeter.what happens depends on the relative masses of ice and water,some of the ice will melt and the final temperature will be 0 degrees Celsius.So the correct options are 1,2 and 3.
The amount of ice that melts depends on the relative masses of ice and water. If there is more ice than water, then all of the ice will melt. If there is more water than ice, then some of the ice will remain. The final temperature will be 0 degrees Celsius regardless of how much ice melts.
Option 4 is incorrect because the water is already at 0 degrees Celsius, so it cannot freeze. Option 3 is incorrect because heat is not being transferred into or out of the system, so the temperature will not change.Therefore correct option are 1, 2 and 3.
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What is the displacement of an object launched straight up into the air if it returns to its launch position?
Answer:
The displacement would be 0
Explanation:
The displacement is the shortest distance between two points, and the distance traveled is the actual distance. It would be zero because a ball thrown into the air would come down and the shortest distance is 0.
using the δg values calculated at room temperature and ice-bath temperature, does the solvation of borax favors products or reactants? explain.
The δg values calculated at room temperature and ice-bath temperature can be used to determine whether the solvation of borax favors products or reactants.
If the δg value at room temperature is negative, it means that the reaction favors the products, while if it is positive, the reaction favors the reactants. On the other hand, if the δg value at ice-bath temperature is negative, it means that the reaction favors the reactants, while if it is positive, the reaction favors the products.
Therefore, by comparing the δg values calculated at room temperature and ice-bath temperature, we can determine whether the solvation of borax favors the products or the reactants. If the δg value is more negative at room temperature than at ice-bath temperature, it means that the solvation of borax favors the products. Conversely, if the δg value is more negative at ice-bath temperature than at room temperature, it means that the solvation of borax favors the reactants.
In summary, the solvation of borax may favor the products or the reactants depending on the temperature and the δg values calculated.
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what is the wavelength of a 28Hz periodic wave at 10 meters per second?
AnswerAnswerAnswerAnswerAnswer:0.3571m
Explanation:
An object appears red when viewed with white light. What color would it appear when viewed with blue light?
Answer:
Colour of any object is by the colour of light it reflects i.e if white light is incident on the object,it will reflect blue color.so it will appear blue.But if red light is incident on it,it will not reflect that and absorb it.so as it will not reflect any light it will appear black.
Explanation:
Max Planck and Albert Einstein developed the idea that light is energy radiated at the speed of light in the form of wave packets of energy
called.
A. high energy waves
B. electromagnetic waves
C. photons
D. clusters
Please help me Calculate the total energy stored in the capacitor
La fórmula: P = W/t ó W = P x t. donde:
P = potencia
W = trabajo
t = tiempo
Otra fórmula de potencia es: P= I x V
Proceso de carga de un capacitor - condensador
Una fórmula muy importante que también hay que tener en cuenta es: V = q/C que indica que el voltaje es proporcional a la carga que hay en un condensador.
De la fórmula de potencia P= I x V y considerando que la corriente es constante (corriente continua), entonces la potencia es proporcional al voltaje. Si el voltaje aumenta en forma lineal, la potencia aumentará igual. Ver el siguiente diagrama.
Como la potencia varía en función del tiempo, no se puede aplicar la fórmula W = P x t, para calcular la energía transferida. Pero observando el gráfico, se ve que esta energía se puede determinar midiendo el área bajo la curva de la figura.
Energía Almacenada en un Condensador - Capacitor
El área bajo la curva es igual a la mitad de la potencia en el momento “t”, multiplicada por “t”.
Entonces: W = (P x t) / 2. Pero se sabe que P = V x I. Si se reemplaza esta última fórmula en la anterior se obtiene: W = (V x I x t) / 2, y como I x t = CV = Q, entonces para saber cuanta energía (W) hay en un condensador usamos una de las siguientes fórmulas:
W = (CV2/2) julios
W = (QV/2) julios
W = (Q2/2C) julios
, donde:
W = Trabajo (Energía) en julios
C = Capacidad en faradios
V = voltaje en voltios en los extremos del condensador
Q = carga del condensador
Answer with the given explanations below: First the given formula that looks like this is: or where:
P = power
W = work
t = time
Next with another given power formula that looks like this is:
This is the charging process of a capacitor - capacitor #1.
Then it's a very important given formula that it must also be taken into account is: which it was indicated that the voltage is proportional to the charge on a capacitor.
In the following below, from the given power formula that looks like this is: and we are considering that the current is the constant (direct current), and then the power is proportional to the voltage. If the voltage increases linearly, the power will increase the same. See the following diagram. (I'm sorry, Yhungbabe, I don't have the diagram to show you in order to refer to the total energy stored in the capacitor because I havenèt learned the energy stored in the capacitor)
Anyway, since the power varies as a function of the time, the given formula that looks like this is: cannot be applied to calculate the energy transferred. But looking at the graph, it seems that this energy can also be determined by measuring the area under the curve of the figure.
This is The Energy Stored in a Capacitor - Capacitor #2.
The area under the curve is equal to the half of the power at time "t", being multiplied by "t".
Then with the given formula below that looks like this is:
But it's known that If this is the last given formula is being replaced in the previous one, we obtain the new given formula that looks like this is: and as another new given formula that looks like this is: there's so to find out how much energy (W) that there's in a capacitor that we use in one of the new given formulas that looks like in the listed below are:
joules
joules
joules
Now finally where:
W = Work (In The Energy) in Joules
C = Capacity in the farads
V = voltage in the volts at the ends of the capacitor
Q = a capacitor charge
I apologize for the late answer and the replies, so anyway, I use the online language translator in order to translate Spanish to English for you in order to understand my work given below, so, I hope my answer with the given explanation below here is very helpful to your own question about how to calculate the total energy stored in the capacitor with the image has been provided, please mark me as Brainliest and have a great rest of the day! :D
Sincerely,
Jason Ta,
The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.
Wat is the statement of law intertia
Answer:
here
Explanation:
Law of inertia states that a body remains in a position of rest or motion along a straight line unless an external force is applied..
Please mark me as brainliest
A parallel-plate capacitor has square plates that are 7.40 cm on each side and 3.20 mm apart. The space between the plates is completely filled with two square slabs of dielectric, each 7.40 cm on a side and 1.60 mm thick. One slab is Pyrex glass and the other slab is polystyrene. If the potential difference between the plates is 84.0 V, find how much electrical energy (in nJ) can be stored in this capacitor.
Answer:
The energy that can be stored in the capacitor is 239 nJ
Explanation:
We first calculate the capacitance of each material. Let C₁ be the capacitance of pyrex glass and C₂ be the capacitance of polystyrene.
C₁ = κ₁ε₀A/d where κ₁ = dielectric constant of pyrex glass = 5, A = area of plates = L² where L = length of square plate = 7.40 cm = 7.40 × 10⁻² m and d = thickness of pyrex slab = 1.60 mm = 1.60 × 10⁻³ m and ε₀ = permittivity of free space = 8.854 × 10⁻¹² F/m
C₁ = κ₁ε₀A/d = κ₁ε₀L²/d = 5 × 8.854 × 10⁻¹² F/m × (7.40 × 10⁻² m)²/1.60 × 10⁻³ m = 2424.2252/1.60 × 10⁻¹¹ F = 1515.14 × 10⁻¹¹ F = 15.2 × 10⁻⁹ F = 15.2 nF
C₂ = κ₂ε₀A/d where κ₂ = dielectric constant of polystyrene = 3, A = area of plates = L² where L = length of square plate = 7.40 cm = 7.40 × 10⁻² m and d = thickness of polystyrene slab = 1.60 mm = 1.60 × 10⁻³ m and ε₀ = permittivity of free space = 8.854 × 10⁻¹² F/m
C₁ = κ₁ε₀A/d = κ₁ε₀L²/d = 3 × 8.854 × 10⁻¹² F/m × (7.40 × 10⁻² m)²/1.60 × 10⁻³ m = 1454.5351/1.60 × 10⁻¹¹ F = 909.08 × 10⁻¹¹ F = 9.09 × 10⁻⁹ F = 9.09 nF
Since the capacitors are in series, we find their effective capacitance C from
1/C = 1/C₁ + 1/C₂
C = C₁C₂/(C₁ + C₂)
= 15.2 × 10⁻⁹ F × 9.09 × 10⁻⁹ F/(15.2 × 10⁻⁹ F + 9.09 × 10⁻⁹ F)
= 138.168 × 10⁻¹⁸/24.29 × 10⁻⁹ F
= 5.69 × 10⁻⁹ F
The amount of electrical energy stored in a capacitor is given by W = 1/2CV² where C = capacitance and v = voltage applied. Now C = 5.69 × 10⁻⁹ F and V = 84.0 V for this capacitor
So W = 1/2 × 5.69 × 10⁻⁹ F × 84.0 V
= 238.98 × 10⁻⁹ J
≅ 239 × 10⁻⁹ J
= 239 nJ
So the energy that can be stored in the capacitor is 239 nJ
what is the acceleration of a box weighing 666N if a force of 777N is applied to it
Answer:
6.67
Explanation:
force=mass*gravity(10)
666/10=66.6
777/66.6=11.6666667
round off
a small asteroid that has a mass of 100 kg is moving at 200 m/s when it is 1550 km above the moon. 1) how fast will the meteorite be traveling when it impacts the lunar surface if it is heading straight toward the center of the moon? (express your answer to three significant figures.)
Potential energy is changed into potential energy as the asteroid moves from a high height to a lower one.
When the meteorite strikes the lunar surface, its speed is roughly 1,449.9 m/s.
Energy in kinetic and potential form is;
We obtain the following using the energy conservation equation:
\(-\frac{G.M.m}{R+h} +\frac{1}{2} .m.v^{2} =-\frac{G.M.m}{R} +\frac{1}{2} .m.v_{2} ^{2}\)
G = Universal gravitation constant = 6.67408× 10⁻¹¹ m³/(kg·s²)
M = Mass of the Moon = 7.34767309 × 10²² kg
m = Mass of the asteroid = 100 kg
R = Radius of the Moon = 1,737.400 meters
\(\frac{G.M.m}{R+h}- \frac{G.M.m}{R} +\frac{1}{2} .m.v^{2} =-+\frac{1}{2} .m.v_{2} ^{2}\)
\(G.M.m.(\frac{1}{R}-\frac{1}{R+h}) +\frac{1}{2} .m.v^{2} =+\frac{1}{2} .m.v_{2} ^{2}\)
\(G.M.(\frac{1}{R}-\frac{1}{R+h}) +\frac{1}{2} .m.v_{1} ^{2} =+\frac{1}{2} .m.v_{2} ^{2}\)
Plugging in the values gives;
=1051105.6191=1/2.v2
v₂² = 2× 1051105.6191 = 2102211.2382
v₂ = √(2102211.2382) ≈ 1,449.9
The speed of the meteorite when it impacts the lunar surface, v₂ ≈ 1,449.9 m/s
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8. explain why the outdoor fan motor is de-energized during the defrost cycle?
During the defrost cycle of a heat pump or air conditioning system, the outdoor fan motor is turned off.
Why the outdoor fan motor is de-energized during the defrost cycle?This is to prevent cold air circulation, optimize heat transfer, prevent potential damage to the fan blades from contact with ice or frost, and reduce noise levels.
De-energizing the outdoor fan motor allows for efficient defrosting, faster melting of ice or frost on the outdoor unit, and improved overall system performance. It ensures that the heat pump or air conditioner operates effectively even in colder temperatures while minimizing any potential disruptions or issues.
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A diffraction-limited laser of length L and aperture diameter 0.50 cm generates light of wavelength 700nm . If the beam is directed at the surface and the radius of the illuminated area on the surface is approximately 45cm, how far away is the surface
The distance of the surface illuminated by the light of the given wavelength is 5,269.32 m.
Distance of the surface
The distance of the surface illuminated by the light of the given wavelength is calculated as follows;
D = (rd)/(0.61λ)
where;
r is the radius of the illuminated area = 45 cm = 0.45 md is the diameter of the diameter = 0.5 cm = 0.005 mλ is wavelength = 700 nm = 700 x 10⁻⁹ mD = (0.45 x 0.005) / (0.61 x 700 x 10⁻⁹)
D = 5,269.32 m
Thus, the distance of the surface illuminated by the light of the given wavelength is 5,269.32 m.
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When a cannonball is fired from a cannon, the momentum of the recoiling cannon is momentarily?1)the same as that of the fired cannonball2) less than the momentum of the fired cannonball3) greater than the momentum of the fired cannonball4) equal and opposite to the momentum of the fired cannonball
When a cannonball is fired from a cannon, the momentum of the recoiling cannon is momentarily option 4) equal and opposite to the momentum of the fired cannonball.
This is due to the law of conservation of momentum, which states that the total momentum of a closed system remains constant. In this case, the momentum of the cannonball and the momentum of the cannon are equal in magnitude but opposite in direction, resulting in a net momentum of zero.
The law of conservation of momentum states that unless an outside force acts on a system, its overall momentum stays constant. The cannon and the cannonball make up the mechanism when a cannon fires a cannonball. When a cannonball is fired, it gains momentum in one direction, and the cannon recoils with an equal and opposite momentum in the other direction. As a result, the right response is 4) equal to and in the opposite direction of the cannonball's momentum. The third law of motion of Newton, which asserts that there is an equal and opposite reaction to every action, describes this as the principle of action and reaction.
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An aircraft flies at an altitude of 30,000 feet. Determine the air temperature (in [K]), air pressure (in [Pa]) and air density (in [kg/m]) at this altitude, according to the standard atmosphere.
According to the standard atmosphere, the air temperature at an altitude of 30,000 feet is 93.15 K, the air pressure is 1394.6 Pa, and the air density is 52.18 kg/m^3.
The standard atmosphere is a model of the Earth's atmosphere that describes how the temperature, pressure, and density of air change with altitude. The values for air temperature, pressure, and density at an altitude of 30,000 feet can be found in the standard atmosphere table.
The air temperature at 30,000 feet is 93.15 K, which is about -130 degrees Celsius. The air pressure at this altitude is 1394.6 Pa, which is about 1.4 psi. The air density at 30,000 feet is 52.18 kg/m^3, which is about one-tenth the density of air at sea level.
The decrease in air temperature, pressure, and density with altitude is due to the fact that there are fewer air molecules at higher altitudes. As the altitude increases, the weight of the air above decreases, and the air molecules spread out more. This results in a lower air pressure and density.
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Determine the intantaneou voltage acro a 6 ~F capacitor when the current through
it i i = 4 in (]O6 t 35")A
The voltage across the 6-f capacitor is -67.14 cos (106 t - 25) + k at any given moment.
The immediate voltage across a capacitor is given by the situation v(t) = 1/C × integral (i(t) dt) where C is the capacitance.
Thus, for the given i(t) = 4 sin (106t - 25), the voltage across the capacitor can be determined as:
v(t) = 1/C × integral (4 sin (106 t - 25) dt) = 4/106 × (-cos (106 t - 25)) + k where k is a constant of integration.
Since the capacitance of a 6-f capacitor is 6 × \(10^{-6}\) farads, we can calculate the voltage as:
v(t) = 4/106 × (-cos (106t - 25)) + k = 4/(106 C) × (-cos (106t - 25)) + k
v(t) = 4/(6 × \(10^{-6}\) × 106) × (-cos (106t - 25)) + k
v(t) = -67.14 cos (106t - 25) + k
Therefore, for instantaneous voltage across the 6-f capacitor is -67.14 cos (106 t - 25) + k.
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The question is -
Determine the instantaneous voltage across a 6-f capacitor when the current through it is i(t) = 4 sin (106 t 25) a.
An object of mass m and velocity 3v toward the east has a completely inelastic collision with an object of mass 2m and velocity 2v toward the north. After the collision, the momentum of the combined object has a magnitude of?
A) 5mv
B) 10mv
C) 15mv
D) 7mv
E) 12mv
The magnitude of the momentum of the combined object after the collision is 5mv. So the correct option is A) 5mv.
To solve this problem, we can use the principle of conservation of momentum. The total momentum before the collision should be equal to the total momentum after the collision, assuming no external forces are acting on the system.
Let's break down the velocities into their respective components:
Object 1:
Mass (m)
Velocity toward the east: 3v
Velocity components: 3v toward the east and 0v toward the north (since it's only moving horizontally)
Object 2:
Mass (2m)
Velocity toward the north: 2v
Velocity components: 0v toward the east (since it's only moving vertically) and 2v toward the north
To find the momentum of the combined object after the collision, we need to add the momentum vectors of the two objects.
Momentum of object 1 before the collision:
p1 = m * (3v) = 3mv toward the east
Momentum of object 2 before the collision:
p2 = (2m) * (2v) = 4mv toward the north
Now, let's add the momentum vectors:
p_total = p1 + p2
= 3mv (east) + 4mv (north)
Since these vectors are at right angles, we can use the Pythagorean theorem to find the magnitude of the total momentum:
Magnitude of total momentum:
|p_total| = \(\sqrt{3mv)^2 + (4mv)^2)}\)
= \(\sqrt{9m^2v^2 + 16m^2v^2}\)
= \(\sqrt{25m^2v^2}\)
= 5mv
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Which of the following represents a chemical change?
A. Melting
of ice to water.
B. Combustion of a firecracker
C. Salt dissolves in water
D. The iron stretched into wires-ductile and iron pounded into sheets-malleable.
60.0-kg athlete leaps straight up into the air from a trampoline with an initial speed of 9.0 m/s. the goal of this problem is to find the maximum height she attains and her speed at half maximum height. (a) what are the interacting objects and how do they interact? (b) select the height at which the athlete's speed is 9.0 m/s as y = 0. what is her kinetic energy at this point? what is the gravitational potential energy associated with the athlete? (c) what is her kinetic energy at maximum height? what is the gravitational potential energy associated with the athlete? (d) write a general equation for energy conservation in this case and solve for the maximum height. substitute and obtain a numerical answer. (e) write the general equation for energy conservation and solve for the velocity at half the maximum height. substitute and obtain a numerical answer
The height she can reach at her greatest and her speed at that height.(a)They interact through the force of the trampoline pushing the athlete upward. (b)Since y = 0 at this point, the gravitational potential energy is 0.(c) Gravitational potential energy associated with the athlete at maximum height is m×g×h, where h is the maximum height above the ground. (d)The height is h = 2.75 m. (e) The velocity v = 6.65 m/s.
(a) The interacting objects are the athlete and the trampoline. They interact through the force of the trampoline pushing the athlete upward.
(b) At the height where the athlete's speed is 9.0 m/s, her kinetic energy is (1/2)mv² = (1/2)(60.0 kg)(9.0 m/s)² = 2430 J. The gravitational potential energy associated with the athlete at this height is mgh, where h is the height above the ground. Since y = 0 at this point, the gravitational potential energy is 0.
(c) At maximum height, the athlete's speed is 0, so her kinetic energy is 0. The gravitational potential energy associated with the athlete at maximum height is m×g×h, where h is the maximum height above the ground.
(d) The general equation for energy conservation in this case is: Kinetic energy + Gravitational potential energy = Total energy At the beginning, the athlete only has kinetic energy, so:
(1/2)mv² = (1/2)(60.0 kg)(9.0 m/s)²
= 2430 J
At maximum height, the athlete only has gravitational potential energy, so: m×g×h = (60.0 kg)(9.81 m/s²)h Setting these two equations equal to each other and solving for h, we get:
(1/2)mv²= m×g×h (1/2)(60.0 kg)(9.0 m/s)²
= (60.0 kg)(9.81 m/s²)h
= 2.75 m
(e) The general equation for energy conservation in this case is the same as in part (d): Kinetic energy + Gravitational potential energy = Total energy At half the maximum height, the athlete has some kinetic energy and some gravitational potential energy. Let's call this height y. The total energy is the same as at the beginning, so:
(1/2)mv² + m×g×y
= (1/2)(60.0 kg)(9.0 m/s)² .
Solving for v, we get:
\(v = \sqrt{[(60.0 kg)(9.0 m/s)^2 - 2(60.0 kg)(9.81 m/s^2)y]/60.0 kg}\)
Substituting y = 1.375 m (half of the maximum height),
we get: v = 6.65 m/s
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If the strings have different thicknesses, which of the following parameters, if any, will be different in the two strings?.
Answer:
Wave speed and wavelength
Explanation:
Ferris wheel has a diameter of 76 m and completed one revolution every 20 min.
a)Calculate the tangential speed the car
b) Calculate the magnitude to the centripetal acceleration of one of the car
The tangential speed of a point on the Ferris wheel is approximately 2.01 m/s. the magnitude of the centripetal acceleration of a point on the Ferris wheel is approximately 0.106 m/s².
The tangential speed of a point on the Ferris wheel is given by the formula:
v = (2πr) / T
where v is the tangential speed, r is the radius of the Ferris wheel (half the diameter), and T is the time taken to complete one revolution.
In this case, the diameter of the Ferris wheel is 76 m, so its radius is 38 m. It completes one revolution every 20 min, so the time taken is T = 20 min = 1200 s. Substituting these values in the formula, we get:
v = (2π × 38 m) / 1200 s
≈ 2.01 m/s
The centripetal acceleration of a point on the Ferris wheel is given by the formula:
a = v² / r
where a is the magnitude of the centripetal acceleration, v is the tangential speed, and r is the radius of the Ferris wheel.
In this case, we have already calculated the tangential speed to be approximately 2.01 m/s, and the radius of the Ferris wheel is 38 m. Substituting these values in the formula, we get:
a = (2.01 m/s)² / 38 m
≈ 0.106 m/s²
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plzzz help pop asap
An object with a mass of 20 kg accelerates at a rate of 10 m/s^2. What force was exerted upon the object?
Answer:
F = 200 N
Explanation:
Given that,
Mass of the object, m = 20 kg
The acceleration of the object, a = 10 m/s²
We need to find the force exerted by the object. The force acting on the object is given by :
F = ma
So,
\(F=20\ kg\times 10\ m/s^2\\\\F=200\ N\)
So, 200 N of force was exerted by the object.
Why is an object’s mass, rather than its weight, used to indicate the amount of matter it contains?.
An object's mass, rather than its weight is used to indicate the amount of matter it contains because weight is defined as the amount of force due to an existing field (In most cases, gravitational field) that is experienced by the body. The weight of the same body can be different in different environments it's observed.
However, the mass of the body is the exact measure of the amount of matter contained in a body. Which is constant, regardless of the environment, or conditions the body is observed.
Hence, for real-world calculations and experimentation, the mass of the body is considered to represent the amount of matter it contains rather than its weight.
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two conducting spheres are seperated by a distance d. what is the magntiude of the new attractive force?
If the distance between the spheres is reduced, the magnitude of the attractive force between them will increase according to the inverse square law.
The magnitude of the new attractive force between two conducting spheres that are separated by a distance d can be determined by using Coulomb's law. Coulomb's law states that the force between two charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. However, for conducting spheres, the charges are distributed uniformly on their surfaces.
Assuming that the spheres have charges of q₁ and q₂, the magnitude of the attractive force between them can be given by the following equation:
F = (1/4πε) (q₁ q₂ / d²)
Where ε is the permittivity of the medium between the spheres.
Therefore, if the distance between the spheres is reduced, the magnitude of the attractive force between them will increase according to the inverse square law. On the other hand, if the distance between the spheres is increased, the magnitude of the attractive force will decrease.
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what is the power factor for a series rlc circuit containing a 50-ω resistor, a 10-μf capacitor, and a 0.45-h inductor, when connected to a 60-hz power supply?
The power factor for the given series RLC circuit with a 50-Ω resistor, a 10-μF capacitor, and a 0.45-H inductor connected to a 60-Hz power supply is approximately 0.532. The power factor represents the phase relationship between the current and voltage in the circuit.
The power factor of an RLC circuit is determined by the impedance and the phase angle between the current and voltage. In this case, the impedance of the circuit is calculated by combining the resistance, inductive reactance, and capacitive reactance. By substituting the given values into the impedance formula, we find the impedance to be 50 Ω - j95.61 Ω.
To determine the phase angle, we use the formula tanθ = (XL - XC)/R, where XL and XC are the inductive and capacitive reactances, respectively. By calculating the phase angle, we find it to be approximately -63.55 degrees.
The power factor is obtained by taking the cosine of the phase angle. Thus, the power factor for the given series RLC circuit is approximately 0.532, indicating the phase relationship between the current and voltage in the circuit.
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