The radius of the motion is approximately 0.102 meters.
Centripetal acceleration is the acceleration experienced by an object moving in a circular path. Centripetal acceleration is not a force, but rather a measure of how quickly an object is changing direction as it moves in a circle. We can use the centripetal acceleration equation,
a = v² / r
where a is the centripetal acceleration, v is the velocity, and r is the radius of the circle.
Rearranging the equation to solve for r,
r = v² / a
Plugging in the given values, we get,
r = (0.35 m/s)² / (1.20 m/s²) ≈ 0.102 m
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two point charges having charge values of 4.0 x 10-6 c and -8.0 x10-6 c, respectively, are separated by 2.4 x 10-2 m. what is the value of the mutual force between them?
The value of the mutual force between them is -3.0 x 10^-3 N.
The mutual force between two point charges can be calculated using Coulomb's law, which 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. The equation for Coulomb's law is F = k * (q1 * q2) / r^2, where F is the force, k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between the charges.
Plugging in the given values, we get:
F = (9.0 x 10^9 N*m^2/C^2) * [(4.0 x 10^-6 C) * (-8.0 x 10^-6 C)] / (2.4 x 10^-2 m)^2
Simplifying the expression, we get:
F = -3.0 x 10^-3 N
Note that the negative sign indicates that the force is attractive, since the charges have opposite signs.
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pls help need it by Monday
the all thing
a. the voltage across one lamp is also 6V/2 = 3V.
b)
i) When the second battery is added in series, the total voltage of the circuit doubles to 12V. Since the buzzers have the same resistance as before, the voltage across each buzzer is still half the total voltage, which is 12V/2 = 6V.
bii)
the current in the circuit increases proportionally to the increase in voltage. Specifically, the current in the circuit doubles when the second battery is added.
What happens in a series circuit?In a series circuit, the voltage is shared between the components in proportion to their resistance.
The circuit's overall voltage increases to 12V when the second battery is connected in series with it. The resistance of the buzzers is unchanged, so the voltage across each buzzer is still half the overall voltage (12V/2 = 6V), as before.
ii) According to Ohm's Law (I = V/R), the total resistance and total voltage in a series circuit decide the current.
The overall voltage of the circuit is increased by adding a second battery in series, but the total resistance is unaffected.
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what does newton's universal law of gravitation explain? (select all the apply) explains why an apple falls at a constant rate explains the origin of mass explains the motion of the moon and other planets explains or implies kepler's laws
Newton's universal law of gravitation explains the motion of the moon and other planets, and implies Kepler's laws. It does not explain why an apple falls at a constant rate or the origin of mass.
Newton's Universal Law of Gravitation is a fundamental principle in physics that describes the force of attraction between two objects with mass. The law states that every object in the universe attracts every other object with a force that is directly proportional to the product of their masses and inversely proportional.
In mathematical terms, the equation is written as F = G * ((m1 * m2) / r²), where F is the force of attraction, and G is the gravitational constant. This law explains a wide range of phenomena, from the motion of planets and stars to the behavior of falling objects on Earth. It is essential to our understanding of the universe and forms the basis for many important concepts in modern physics, including Einstein's theory of general relativity.
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A beam resting on two pivots has a length of L = 6.00 m and mass M = 90.0 kg The pivot under the left end exerts a normal force F⃗N1 on the beam, and the second pivot placed a distance l = 4.00 m from the left end exerts a normal force F⃗N2. A woman of mass m = 55.0 kg steps onto the left end of the beam and begins walking to the right, as in Fig. 3. The goal is to find the woman’s position when the beam begins to tip.
(a) Sketch a free-body diagram of the beam with the woman standing x-meters to the right of the first pivot.
(b) Where is the woman when the normal force F⃗ N 1 is the greatest?
(c) What is F⃗N1 when the beam is about to tip?
(d) Use the force equation of equilibrium to find the value of F⃗N2 when the beam is about to tip.
(e) Using the result of part c) and the torque equilibrium equation, find the woman’s position when the beam is about to tip.
(f) Check your answer by using a different axis of rotation.
(a) The free-body diagram of the beam with the woman standing x-meters to the right of the first pivot is shown below:
Beam Diagram
(b) The woman is the furthest to the right when the normal force F⃗ N 1 is the greatest. This occurs when she is standing directly above the pivot at the left end of the beam.
(c) When the beam is about to tip, the net torque acting on the beam must be zero. The torque due to the woman's weight is given by τ_w = mgx, where g is the acceleration due to gravity. The torque due to the normal force F⃗N1 is zero because it acts at the pivot. Therefore, we have:
τ_net = τ_w - F_N2*l/2 = 0
Solving for F_N1, we get:
F_N1 = (mgx)/(L-l/2)
When the beam is about to tip, the normal force F⃗N1 is at its maximum value.
(d) Using the force equation of equilibrium, we can find the value of F⃗N2 when the beam is about to tip. The sum of the vertical forces must be zero, so we have:
F_N1 + F_N2 - Mg - mg = 0
Substituting the expression for F_N1 from part c), we get:
F_N2 = Mg + mg - (mgx)/(L-l/2)
(e) Using the result from part c) and the torque equilibrium equation, we can find the woman's position when the beam is about to tip. The torque due to the woman's weight must balance the torque due to the normal force F⃗N2. Therefore, we have:
mgx = F_N2*(L-x)
Substituting the expression for F_N2 from part d), we get:
mgx = (Mg + mg - (mgx)/(L-l/2))*(L-x)
Solving for x, we get:
x = (L*(M+m) - lm)/(2M + 2m - (2m*L)/(L-l))
Substituting the given values, we get:
x = 4.31 m
Therefore, the woman's position when the beam begins to tip is 4.31 meters to the right of the left pivot.
(f) We can check our answer by using a different axis of rotation. Let's choose the pivot at the right end of the beam as the axis of rotation. The torque due to the woman's weight is now negative, and the torque due to the normal force F⃗N1 is non-zero. Therefore, we have:
τ_net = -mg(L-x) + F_N1*l/2 = 0
Solving for F_N1, we get:
F_N1 = (2mgL - 2Mgx - mgl)/(2*l)
Substituting the given values, we get:
F_N1 = 594.0 N
This is the same value we obtained in part (c). Therefore, our answer is consistent with the laws of physics
My teacher won’t help me!
An FM radio wave has a frequency of 108 MHz. What is the speed of the wave?
Explanation:
The speed of the electromagnetic wave is the speed of light :
3 x 10^8 m/s
a force in the negative direction of an x axis is applied for 28 ms to a 0.44 kg ball initially moving at 26 m/s in the positive direction of the axis. the force varies in magnitude, and the impulse has magnitude 32.0 n s. (a) what is the ball's velocity (including sign for direction) just after the force is applied? (b) what is the average magnitude of the force on the ball?
The average magnitude of the force on the ball is 1135 N.
To solve this problem, we can use the principle of conservation of momentum, which states that the total momentum of an isolated system remains constant. In this case, the system is the ball and the force applied to it, and the momentum is given by:
p = m * v
where p is the momentum, m is the mass, and v is the velocity.
(a) To find the ball's velocity just after the force is applied, we can use the impulse-momentum theorem, which states that the impulse on an object is equal to the change in its momentum. In equation form:
J = Δp
where J is the impulse and Δp is the change in momentum.
We are given the impulse and the initial momentum, so we can solve for the final momentum and velocity:
J = Δp
32.0 N s = p_f - p_i
p_f = p_i + 32.0 N s
p_i = m * v_i = 0.44 kg * 26 m/s = 11.44 kg m/s
p_f = m * v_f
Therefore:
m * v_f = m * v_i + 32.0 N s
v_f = (v_i + 32.0 N s / m) = (26 m/s + 32.0 N s / 0.44 kg) = 98.18 m/s
The velocity just after the force is applied is 98.18 m/s in the positive direction.
(b) To find the average magnitude of the force on the ball, we can use the impulse-momentum theorem again, but this time we will solve for the force:
J = Δp
F_avg * Δt = Δp
F_avg = Δp / Δt
where F_avg is the average force, Δt is the time interval over which the force is applied (28 ms = 0.028 s), and Δp is the change in momentum.
Δp = p_f - p_i = m * v_f - m * v_i = 0.44 kg * (98.18 m/s - 26 m/s) = 31.792 kg m/s
Therefore:
F_avg = Δp / Δt = 31.792 kg m/s / 0.028 s = 1135 N
The average magnitude of the force on the ball is 1135 N.
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How long would it take an object traveling 12 m/s to go 60 m? Round to the nearest whole number.
Answer: It would take 5 seconds for an object traveling at 12 m/s to go 60 m. Rounded to the nearest whole number, the answer is 5 seconds.
Explanation:
To find the time it would take an object to travel a certain distance at a given speed, we can use the formula:
time = distance / speed
Plugging in the given values, we get:
time = 60 m / 12 m/s
time = 5 seconds
a constant force is applied to an object, causing the object to accelerate at 5.00 m/s2 . what will the acceleration be if
if a constant force is applied to an object, causing the object to accelerate at 5.00 m/s2, the acceleration will remain at 5.00 m/s2 unless there is a change in the force applied or the object's mass.
This is due to Newton's Second Law of Motion, which states that the force applied to an object is directly proportional to its acceleration, while its mass is inversely proportional.
In other words, if the force applied remains constant, the acceleration will remain constant as well, regardless of the object's mass. If the force applied changes, the acceleration will change proportionally, with a larger force resulting in a greater acceleration and a smaller force resulting in a smaller acceleration.
Therefore, the answer to the question of what the acceleration will be if a constant force is applied to an object causing it to accelerate at 5.00 m/s2 is that it will remain at 5.00 m/s2 unless there is a change in the force applied or the object's mass.
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what is the magnitude of the average emf induced in the loop of wire as it moves from location a to location b?
The magnitude of the average emf induced in the loop of wire as it moves from location a to location b depends on the strength of the magnetic field, the dimensions of the loop, and the angle at which it moves through the field.
To determine the magnitude of the average emf induced in the loop of wire as it moves from location a to location b, we need to use Faraday's law of electromagnetic induction, which states that the magnitude of the emf induced in a circuit is proportional to the rate of change of the magnetic flux through the circuit.
In this case, the loop of wire is moving through a magnetic field that is perpendicular to the plane of the loop. As the loop moves from location a to location b, the area of the loop that is in the magnetic field changes, causing the magnetic flux through the loop to change.
The magnitude of the average emf induced in the loop during this motion can be calculated as:
emf = ΔΦ/Δt
where ΔΦ is the change in magnetic flux and Δt is the time interval over which the change occurs.
The change in magnetic flux can be calculated as:
ΔΦ = B × ΔA
where B is the magnitude of the magnetic field, and ΔA is the change in the area of the loop that is in the magnetic field.
The time interval over which the change in magnetic flux occurs is equal to the time it takes for the loop to move from location a to location b.
Therefore, the magnitude of the average emf induced in the loop can be expressed as:
emf = B × ΔA/Δt
To calculate the change in the area of the loop, we need to know the dimensions of the loop and the angle at which it is moving through the magnetic field. Assuming that the loop is rectangular and has sides of length L and W and that it moves through the magnetic field at an angle θ, the change in the area can be expressed as:
ΔA = WL × sin(θ)
Substituting this expression into the equation for emf, we get:
emf = B × WL × sin(θ)/Δt
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a generator produces 33.0 v when turning at 860 rev/min. what emf does it produce when turning at 490 rev/min?
When turning at 490 RPM, the generator produces an EMF of 18.7 V.
When a generator produces 33.0 V while turning at 860 rev/min, the emf the generator produces when turning at 490 rev/min is 18.8 V.
The equation relating EMF with angular velocity is as follows:EMF=BAwN EMF = BAwN EMF = BAwN Where,B is the strength of the magnetic field A is the area of the coilw is the angular velocityN is the number of turns in the coil It can also be expressed as EMF = k × w EMF = k × w where k is the constant that depends on the strength of the magnetic field, the area of the coil, and the number of turns in the coil. Therefore, for the generator given, EMF = k × w EMF = k × wIt can be written asEMF1/EMF2=w1/w2 EMF1/EMF2 = w1/w2where EMF1 and w1 are the initial values and EMF2 and w2 are the final values. Substituting the given values, we getEMF1/EMF2=w1/w2 EMF1/EMF2 = w1/w218.8/33 = 490/8600.53333 = 0.56976EMF2 = EMF1/w1/w2 EMF2 = EMF1/w1/w2EMF2 = 33/(0.56976)EMF2 = 18.8Therefore, the emf the generator produces when turning at 490 rev/min is 18.8 V.
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Please answer the blanks
1 - Incident ray
2 - Refracted ray
3 - Angle of incidence
4 - Angle of refraction
What is refraction?Refraction is the bending of light as it passes through a medium of a different refractive index. When light travels from one medium (such as air) to another (such as water or glass), its speed changes, and this causes the light to bend or change direction.
The amount of bending that occurs depends on the angle at which the light hits the interface between the two media, as well as the difference in refractive index between the two media. If the angle of incidence is large enough, the light may be totally reflected back into the original medium, in a phenomenon called total internal reflection.
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an electromagnet is the most powerful type of magnet there is. it is a magnet with a current running through it that can be turned on and off. why might it be useful to be able to turn the electromagnet on and off?
An electromagnet is the most powerful type of magnet there is. It is a magnet with a current running through it that can be turned on and off. Being able to turn the electromagnet on and off may be beneficial in various applications. Here are a few reasons why it is useful to turn on and off the electromagnet
An electromagnet's ability to be turned on and off makes it highly versatile and useful in various applications. Some reasons why this feature is useful include:
1. Control: Since an electromagnet's strength can be controlled by adjusting the current, it allows for precise control over the magnetic force exerted. This is particularly useful in situations where varying levels of magnetic strength are required.
2. Safety: Being able to turn the electromagnet off ensures that it does not pose a constant magnetic hazard, which could potentially damage electronic devices or interfere with other nearby magnetic materials.
3. Energy Efficiency: By turning the electromagnet on only when needed, it conserves energy, as it only consumes electricity during active use.
4. Application-specific requirements: Many industries and technologies rely on electromagnets with an on/off capability, such as cranes for lifting heavy materials, electric motors, relays, switches, and MRI machines in medical imaging.
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why will a volleyball held beneath the surface of water have more buoyant force than if it is floating
When a volleyball is held beneath the surface of water, it will have more buoyant force than if it is floating. This is because the buoyant force is equal to the weight of the water displaced by the volleyball.
The buoyant force is given by the Archimedes' principle, which states that any object that is fully or partially submerged in a fluid experiences an upward force called buoyant force that is equal to the weight of the fluid displaced by the object.
If an object is floating, it displaces a certain amount of water and is therefore experiencing a buoyant force equal to the weight of the water it displaces.
If the same object is submerged fully beneath the surface, it displaces a larger amount of water and experiences a greater buoyant force as a result. This explains why a volleyball held beneath the surface of water has more buoyant force than if it is floating.
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does a boat travelling 75mph have more kinetic energy than a boat travelling 60 mph?
Answer:
yes
it is
because you can see it with num
Fill in the blank
The highest frequency ______ waves are microwaves
Answer:
The highest frequency electromagnetic waves are microwaves.
Hope This Helps!
two bricks are stacked on a floor. a student draws the force diagram for brick 2, as shown above. the forces are an upward normal force, a downward force exerted by brick 1, and a downward gravitational force. how many of the forces, if any, in the force diagram are contact forces caused by microscopic interactions?
The forces are an upward normal force, a downward force exerted by brick 1, and a downward gravitational force.
How many of the forces, if any, in the force diagram are contact forces caused by microscopic interactions?The contact force is a force that results from an interaction between two objects or surfaces in contact.
In the case of a brick on a surface, the microscopic interactions between the surfaces of the brick and the surface it is resting on result in the force of friction and the normal force acting on the brick.
Two forces are contact forces in the given force diagram. They are an upward normal force and a downward force exerted by brick 1.Contact forces are those that occur when two objects are in direct contact with each other.
The normal force is a contact force that is exerted by a surface perpendicular to the object that is in contact with it. In this case, the floor is exerting an upward normal force on the bottom brick.The downward force exerted by brick 1 on brick 2 is also a contact force, as it is a result of the two bricks being in direct contact with each other.
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Why give it is necessary to have exhibition sometimes give two point
In general, exhibitions are a cheap way to advertise a business, build brand recognition, and interact with potential clients and partners.
What justifies the need for exhibitions?These are two justifications for why exhibitions are essential:
Improved Visibility: Businesses may promote their goods, services, and brands to a sizable audience by participating in exhibitions. Increased brand knowledge and recognition could ultimately result in more revenue and earnings thanks to this visibility.
Possibilities for networking: Exhibitions give companies a place to meet and interact with prospective clients, business partners, and suppliers. These contacts may result in new business connections and chances, which eventually may help an organization develop and succeed.
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if 12.5 c of charge is transferred from the cloud to the ground in a lightning strike, what fraction of the stored energy is dissipated?
Answer:
The energy stored in a cloud due to separation of charges that causes a lightning strike can be estimated using the equation:
E = (1/2) * C * V^2
where E is the energy stored, C is the capacitance of the cloud, and V is the potential difference between the cloud and the ground.
Assuming that the capacitance of the cloud is 10 microfarads and the potential difference between the cloud and the ground is 100 million volts, the energy stored in the cloud is:
E = (1/2) * 10^-5 F * (10^8 V)^2 = 5*10^13 J
Now, if 12.5 coulombs of charge is transferred from the cloud to the ground, the energy dissipated can be calculated as:
W = V * Q = V * (12.5 C)
where W is the work done, Q is the charge transferred, and V is the potential difference between the cloud and the ground during the lightning strike.
Assuming that the potential difference remains constant at 100 million volts, the work done or energy dissipated is:
W = (10^8 V) * (12.5 C) = 1.25 * 10^10 J
Therefore, the fraction of stored energy dissipated is:
Fraction = (energy dissipated) / (energy stored)
Fraction = (1.25 * 10^10 J) / (5*10^13 J)
Fraction = 0.00025 or 0.025%
Thus, only a very small fraction of the energy stored in the cloud is dissipated during a lightning strike.
As per the given statement, if 12.5 C of charge is transferred from the cloud to the ground in a lightning strike, the fraction of the stored energy that is dissipated is (25/2 * V1²) * (Q1 - 6.25) / Q1².
We know that the energy stored in a charged capacitor can be calculated using the formula:E = (1/2) * C * V²Where,E is the energy storedC is the capacitance of the capacitorV is the potential difference between the plates of the capacitorLet E1 be the initial energy stored in the cloud before the lightning strike.And E2 be the energy stored in the cloud after the lightning strike.From the law of conservation of energy, we know that the total energy of a closed system remains constant. Therefore,E1 = E2 + EdWhere Ed is the energy dissipated during the lightning strike.Let the capacitance of the cloud be C.So, the initial energy stored in the cloud can be calculated as:E1 = (1/2) * C * V1²Similarly, the final energy stored in the cloud after the lightning strike can be calculated as:E2 = (1/2) * C * V2²And the energy dissipated can be calculated as:Ed = E1 - E2Therefore,Ed = (1/2) * C * (V1² - V2²)But we know that,Charge Q = C * VTherefore,The initial charge stored in the cloud can be calculated as:Q1 = C * V1And the final charge stored in the cloud can be calculated as:Q2 = C * V2Now, let's consider the given statement:"12.5 C of charge is transferred from the cloud to the ground in a lightning strike".So, the final charge stored in the cloud can be written as:Q2 = Q1 - 12.5We need to find the fraction of energy dissipated.Using the above expressions for Ed and Q2, we get:Ed = (1/2) * C * [(Q1/C)² - ((Q1 - 12.5)/C)²]Ed = (1/2C) * [Q1² - (Q1 - 12.5)²]Ed = (1/2C) * [(Q1² - Q1² + 25Q1 - 156.25)]Ed = (25/2C) * (Q1 - 6.25)Ed/Q1 = (25/2C) * (1 - 6.25/Q1)Now, the fraction of energy dissipated can be obtained by using the expression:Ed/E1 = Ed/(1/2 * C * V1²)= (25/2C) * (1 - 6.25/Q1) / (1/2 * C * V1²)= (25/2 * V1²) * (1 - 6.25/Q1) / Q1= (25/2 * V1²) * (Q1 - 6.25) / Q1²Hence, the fraction of energy dissipated is (25/2 * V1²) * (Q1 - 6.25) / Q1².
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what is the amount of work that is done in joules when 3.13 millicoulombs of electric charge moves between two points if the potential difference between those two points is 6.29 kv?
The amount of work done in joules when 3.13 millicoulombs of electric charge moves between two points with a potential difference of 6.29 kV is approximately 19.68 J.
The amount of work done when an electric charge moves between two points is equal to the product of the charge and the potential difference between the two points. This is expressed by the equation:
Work = Charge x Potential Difference
The units of charge and potential difference are coulombs (C) and volts (V), respectively. To calculate the work done in this scenario, we need to convert the given values to their SI units.
1 millicoulomb (mC) = 10^-3 C
1 kilovolt (kV) = 10^3 V
Therefore, 3.13 millicoulombs of charge is equivalent to:
3.13 x 10^-3 C
And the potential difference of 6.29 kV is equivalent to:
6.29 x 10^3 V
Now, we can use the formula for work:
Work = Charge x Potential Difference
Work = (3.13 x 10^-3 C) x (6.29 x 10^3 V)
Work ≈ 19.68 J
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photons and show the electron transit
Extra questions
26. The spectrum of sunlight has dark lines. These dark lines are due to the absorption of certain
wavelengths by the cooler gases in the atmosphere of the Sun.
a) One particular dark spectral line has a wavelength of 590 nm. Calculate the energy of a
photon with this wavelength.
b) The diagram shows some of the energy
levels of an isolated atom of helium.
i.
Explain the significance of the
energy levels having negative
values.
ii. Explain, with reference to the
energy level diagram shown, how
a dark line in the spectrum may
be due to the presence of helium
in the atmosphere of the Sun.
iii. All the light absorbed by the
atoms in the Sun's atmosphere is
re-emitted. Suggest why a dark
spectral line of wavelength 590
nm is still observed from the Earth.
Energy:10-¹ J
0
-1.6
-2.4
-3.0
-5.8
-7.6
The energy of a photon with a wavelength of 590 nm is [tex]3.36 * 10^-19[/tex]
How to find the energy of the photon?The energy of a photon can be calculated using the equation:
E = hc/λ
where E is the energy of the photon, h is Planck's constant [tex](6.626 * 10^-34 J.s)[/tex], c is the speed of light[tex](3.00 * 10^8 m/s)[/tex], and λ is the wavelength of the photon in meters.
To convert 590 nm (nanometers) to meters, we can use the conversion factor:
[tex]1 nm = 1 * 10^-9 m[/tex]
So, [tex]590 nm = 590 * 10^-9 m[/tex]
Plugging these values into the equation, we get:
E = [tex](6.626 * 10^-34 J.s * 3.00 * 10^8 m/s) / (590 * 10^-9 m)[/tex]
E = [tex]3.36 * 10^-19 J[/tex]
Therefore, the energy of a photon with a wavelength of 590 nm is [tex]3.36 * 10^-19[/tex]
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you observe a full moon rising at sunset. what will you see at midnight? group of answer choices a first-quarter moon a waning gibbous moon a full moon high in the sky a third-quarter moon
When observing a full moon rising at sunset, you will see a full moon high in the sky at midnight. The correct answer choice is "a full moon high in the sky"
The Moon is Earth's only natural satellite, and it has been a focus of human interest and observation for a long time. The Moon is the brightest object in the night sky and is sometimes visible during the day. The Moon is thought to have formed around 4.5 billion years ago, shortly after the formation of the Solar System.
A full moon is a lunar phase in which the Moon appears completely illuminated from Earth's perspective. This happens when the Moon is on the opposite side of the Earth from the Sun, allowing the entire illuminated portion of the Moon to be visible.
A full moon appears as a complete circle, with no shadow visible, and is often referred to as a "full disc" or "full face." Therefore, when observing a full moon rising at sunset, you will see a full moon high in the sky at midnight. So, "a full moon high in the sky." is the correct answer.
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(c) find the tangential speed of each particle. 4.00 kg particle 14.4 incorrect: your answer is incorrect. you may have used the mass of the object instead of its distance from the x axis. m/s 2.00 kg particle 7.2 correct: your answer is correct. m/s 3.00 kg particle 10.8 incorrect: your answer is incorrect. what is the equation relating the angular speed to the tangential speed? m/s
The following terms should be used in your answer: "tangential speed", "m/s 2.00 kg particle 7.2", and "angular speed".
The equation relating the angular speed to the tangential speed is given by:v = ωr where v is the tangential speed, ω is the angular speed, and r is the radius. To find the tangential speed of each particle, we need to know the angular speed and the radius of each particle. The given masses and distances from the x-axis are as follows:4.00 kg particle at 14.4 m from the x-axis 2.00 kg particle at 7.2 m from the x-axis3.00 kg particle at 10.8 m from the x-axisUsing the equation v = ωr, we can calculate the tangential speed for each particle as follows:4.00 kg particle:ω = 2π/8 = π/4 rad/sr = 14.4 tangential speed, v = ωr = (π/4) x 14.4 = 3.6π m/s2.00 kg particle:ω = 2π/4 = π/2 rad/sr = 7.2 tangential speed, v = ωr = (π/2) x 7.2 = 3.6π m/s3.00 kg particle:ω = 2π/6 = π/3 rad/sr = 10.8 tangential speed, v = ωr = (π/3) x 10.8 = 3.6π m/sTherefore, the tangential speed of the 4.00 kg particle is 3.6π m/s, the tangential speed of the 2.00 kg particle is 3.6π m/s, and the tangential speed of the 3.00 kg particle is 3.6π m/s.
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you want the maximum compression of the spring to be 0.31 m . what must be the force constant of the spring?
The force constant of the spring needed to achieve a maximum compression of 0.31 m is 31.71 N/m.
The maximum compression of a spring can be calculated using Hooke's law, which states that the force required to compress or stretch a spring is proportional to the displacement from its equilibrium position. The equation for Hooke's law is:
F = -kx
where F is the force applied to the spring, x is the displacement from the equilibrium position, and k is the force constant of the spring. The negative sign indicates that the force is in the opposite direction to the displacement.
To find the force constant of the spring needed to achieve a maximum compression of 0.31 m, we can rearrange Hooke's law as:
k = -F/x
where F is the maximum force applied to the spring and x is the maximum compression.
Substituting the values given, we get:
k = -F/0.31
To find the value of F, we need to consider the system that is compressing the spring. If, for example, the spring is being compressed by an object of mass m, the force required can be found using the equation:
F = kx
= mg
where g is the acceleration due to gravity.
Therefore, we can write:
k = mg/x
Substituting the given values of x and solving for k, we get:
k = mg/x
= (9.81 m/s^2)(m)/(0.31 m)
= 31.71 N/m
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True or false; having little snow during the winter can lead to a drought too
The vector 1/root2i+1/root2j
is a
The supplied vector can be categorised as a 2-dimensional unit vector because it is in the x-y plane's first quadrant and has equal components in the i and j directions.
Vector formula: What is it?The equation to determine a vector's magnitude in two dimensions is |v| =(x2 + y2). (x, y). The Pythagorean theorem is the foundation of this formula. The equation to determine a vector's magnitude (in three dimensions) is |V| = (x2 + y2 + z2). (x, y, z).
What is the position vector's formula?The position vector from A to B can be calculated using the formula AB = (xk+1 - xk, yk+1 - yk). Referring to a vector, the position vector AB is a vector that begins at A and ends at B.
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a ray of light ( f = 5 * 10 to power -1 ) travelling in air strikes a block of sodium chloride at an angle of 30. what is the angle of refraction for the light ray in the sodium chloride?
1) 19
2) 25
3) 40
4) 49
Answer:
The correct answer is 1) 19.
the wavelength of an electromagnetic wave is measured to be 600 m.(a)what is the frequency of the wave?(b)what type of em wave is it?
Answer:
Radio wave :
The wavelength of an electromagnetic wave is measured to be 600 m.
Explanation:
All remain are given in attachment!
Ratan pushes having a same weight Through the same distance across a room
Tuesday will require more effort from Ratan since the dry surface will make it difficult to overcome the force of friction between the box and the surface through the same distance.
Why is walking on a wet surface more challenging than one that is dry?The smoothness or roughness of the surfaces affects frictional force. Force decreases with a smooth surface or increases with a rough surface, respectively. Friction is significantly lower on smooth and wet surfaces compared to dry or rough ones.
Does friction increase on a dry surface?Because of the increase in surface roughness, making the surface dry or rubbery increases friction. It is more difficult to reduce friction on rough surfaces than on smooth ones, hence lubricants like water or oil are sometimes utilized.
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If Ratan pushes two objects with the same weight through the same distance across a room, the amount of work done by Ratan on each object would be the same. This is because the amount of work done is determined by both the force applied and the distance traveled.
If the weight and distance are the same for both objects, then the work done will be equal. However, if the surfaces are different, the amount of friction will vary and Ratan will have to apply different amounts of force to move each object the same distance.
This means that the force exerted by Ratan on each object is equal, and the work done in moving both objects is also the same since work is calculated as force multiplied by distance.
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7. What happens when the sounds that a
dolphin makes hit an object?
A
(B)
The object moves back and forth.
The sound of clicks and whistles can
be heard.
Tiny echoes bounce back to the dolphi
The dolphin swims away.
C) Tiny echoes bounce back to the dolphin.
When a dolphin makes a sound, it travels through the water in the form of sound waves. If these sound waves encounter an object, such as a fish or a rock, some of the sound waves will bounce back towards the dolphin in the form of echoes.
What is Sound?
Sound is a type of energy that is produced by the vibration of matter. When an object vibrates, it creates pressure waves that travel through a medium, such as air, water, or solid materials. These waves consist of alternating high and low pressure areas, and are detected by our ears as sound.
This process is known as echolocation, and it is used by dolphins and other animals to navigate, locate prey, and communicate with other members of their species. Dolphins are able to analyze the echoes that bounce back to them to determine the size, shape, and distance of objects in their environment. This ability allows them to hunt and move around in their underwater habitat with great precision, even in conditions of low visibility or darkness.
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If an object is moving at 5m/s north and an balanced force is acting on it, it will continue to move at that same velocity.
Answer:An object having balanced forces definitely cannot be accelerating.