The total kinetic energy of the rolling solid cylinder is 0.000623125 J or 0.623125 mJ.
To determine the total kinetic energy of the rolling solid cylinder, we need to consider both its translational and rotational kinetic energy components.
The translational kinetic energy of an object is given by the formula KE_trans = (1/2)mv^2, where m is the mass and v is the velocity. In this case, the mass of the cylinder is given as 0.356 kg, and the velocity is 5.00 cm/s, which can be converted to 0.05 m/s. Plugging these values into the formula, we have KE_trans = (1/2)(0.356 kg)(0.05 m/s)^2 = 0.000445 J.
The rotational kinetic energy of a solid cylinder rolling without slipping is given by the formula KE_rot = (1/2)Iω^2, where I is the moment of inertia and ω is the angular velocity. The moment of inertia for a solid cylinder rotating about its central axis is I = (1/2)mr^2, where r is the radius. Plugging in the given values, we have I = (1/2)(0.356 kg)(0.02 m)^2 = 0.00002848 kg·m^2.
Since the cylinder is rolling without slipping, the linear velocity v is related to the angular velocity ω by v = rω. Rearranging this equation, we have ω = v/r = 0.05 m/s / 0.02 m = 2.5 rad/s.
Plugging these values into the rotational kinetic energy formula, we have KE_rot = (1/2)(0.00002848 kg·m^2)(2.5 rad/s)^2 = 1.78125 x 10^-4 J.
To find the total kinetic energy, we simply add the translational and rotational kinetic energy components: KE_total = KE_trans + KE_rot = 0.000445 J + 1.78125 x 10^-4 J = 0.000623125 J.
Therefore, the total kinetic energy of the rolling solid cylinder is 0.000623125 J or 0.623125 mJ.
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The electronic energy level of a certain system are given by En = E1*n2, where n = 1, 2, 3. Assume that transitions can occur between all levels. If one wanted to construct a laser from this system by pumping the n = 1 to n = 3 transition, which energy level or levels would have to be metastable?
The n = 2 level must be metastable in order to achieve a population inversion and construct a laser from this system.
What is the metastable energy level(s) required?To construct a laser from this system, we need to have a population inversion, which means that the number of atoms in the higher energy state is greater than the number of atoms in the lower energy state. This can be achieved by pumping energy into the system to excite the atoms to a higher energy state.
In this case, we want to pump the n = 1 to n = 3 transition, which means that we need to have a metastable state between these two levels. A metastable state is a state with a relatively long life so that the excited atoms can stay in this state long enough to undergo stimulated emission and produce coherent light.
The energy levels of the system are given by:
\(E_n = E1 * n^2\)
where n = 1, 2, 3.
The energy difference between the n = 1 and n = 3 levels is:
\(ΔE = E_3 - E_1 = E1 * (3^2 - 1^2) = 8E1\)
To pump the n = 1 to n = 3 transitions, we need to supply energy equal to ΔE. This energy will excite some of the atoms from the ground state (n = 1) to the metastable state (n = 2), and then from the metastable state to the upper state (n = 3) where they can undergo stimulated emission and produce coherent light.
Therefore, the n = 2 level must be metastable in order to achieve a population inversion and construct a laser from this system.
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Where would you least expect to find an ionization nebula? a. in the halo. b. in the disk c.in the spiral arms. d. None of the above.
The ionization nebula would expected in the halo. (option A)
However, there are some locations in a galaxy where ionization nebulae are less likely to be found.
Similarly, in the disk of a galaxy, ionization nebulae are more common but may be less frequent in some areas due to variations in the density of gas and the distribution of hot stars.
By taking into account the density of gas and dust, the temperature and luminosity of hot stars, and other factors, scientists can predict where ionization nebulae are most likely to be found and how their distribution may vary across different types of galaxies.
In summary, while ionization nebulae are most commonly found in regions of active star formation, there are some locations in a galaxy where they are less likely to be found, such as in the halo or in areas with lower levels of gas and dust.
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A transformer with 1000 turns on its primary coil has an RMS potential difference across this coil of 240V. A voltmeter is connected across the secondary coil and measures 12V. How many turns are on the secondary coil?
Given that the number of turns in the primary coil is
\(n_p=\text{ 1000}\)The voltage in the primary coil is
\(V_p=240\text{ V}\)The voltage in the secondary coil is
\(V_s=\text{ 12 V}\)We have to find the number of turns in the secondary coil.
Let the number of turns in the secondary coil be denoted by
\(n_s\)The formula to calculate the number of turns in the secondary coil is
\(\begin{gathered} \frac{V_p}{V_s}=\frac{n_p}{n_s} \\ n_s=\frac{V_s}{V_p}\times n_p \end{gathered}\)Substituting the values, the number of turns in the secondary coil will be
\(\begin{gathered} n_s=\frac{12}{240}\times1000 \\ =50 \end{gathered}\)Thus, the number of turns in the secondary coil is 50
Carbon dioxide undergoes a phase change called sublimation, how does a single molecule of carbon dioxide change as a result of this process in terms of its energy and physical characteristics? a. There is a physical change from a gas to a liquid; energy is released into the environment reducing the molecular movement. b. There is a physical change from the solid state to a gas state where energy between the molecules increases. c. There is a chemical change between the carbona nd oxygen resulting int he formation of oxygen gas which has more energy d. There is a chemical change as the carbon dioxide is transferred from a liquid to a solid reducing the amount of energy
The correct answer is(b). There is a physical change from the solid state to a gas state where energy between the molecules increases.
What is the process of sublimation in carbon dioxide?During sublimation, carbon dioxide transitions directly from the solid state (dry ice) to the gas state without passing through the liquid phase. In this process, individual molecules of carbon dioxide gain energy from the surroundings, leading to an increase in their kinetic energy and molecular movement.
As a result, the carbon dioxide molecules separate from each other and form a gas. This phase change is considered a physical change rather than a chemical change since the chemical composition of carbon dioxide remains the same throughout the process.
Therefore, the sublimation of carbon dioxide results in a physical change where the molecules transition from the solid state to the gas state, gaining energy and increasing their molecular movement.
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How Will An Electromagnet's Strength Change If The Amount Of Current Traveling Through It Increases?
a. The Electromagnetic Field Will Become Stronger. b. The Electromagnetic Field Will Become Weaker. c. The Electromagnetic Field Will Reverse Direction. d. The Electromagnetic Field Will Remain The Same.
An electromagnet's strength will increase if the amount of current traveling through it increases. The correct option is (a) The electromagnetic field will become stronger.
An electromagnet is a type of magnet that produces a magnetic field by electric current. Electromagnets differ from permanent magnets in that the magnetic field they generate can be controlled by the electric current's magnitude, direction, and frequency flowing through them. Electromagnets have a variety of applications, ranging from simple machines to sophisticated industrial applications. Electromagnet's strength and current It is a well-known fact that an electric current produces a magnetic field. As a result, when the current is high, the magnetic field is also strong. Electromagnet's strength and current are directly proportional, as demonstrated by the following formula: B ∝ I (magnetic field is proportional to current)This implies that if the amount of current traveling through an electromagnet increases, the magnetic field it produces also increases.
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step 1: construct a circle through three points not on a line. points d, e, and f are not in a line. to construct a circle through points d, e, and f, begin by drawing line segments and . then construct the perpendicular bisectors of and , and name the point of intersection of the perpendicular bisectors o. how do you know that point o is the center of the circle that passes through the three points? (10 points)
The point of intersection O of the perpendicular bisectors of DE and EF is equidistant from D, E, and F. This is because it lies on the perpendicular bisectors of both DE and EF, which means it is equidistant from the endpoints of these line segments.
Therefore, O is the center of the circle that passes through the three points.
To construct a circle through three non-collinear points D, E, and F, we can follow the steps below:
Draw line segments DE and EF.
Construct the perpendicular bisectors of segments DE and EF. Let the point of intersection be O.
O is the center of the circle that passes through points D, E, and F.
To understand why point O is the center of the circle, we need to understand the definition of the perpendicular bisector.
The perpendicular bisector is a line that intersects the given line segment at its midpoint and forms a right angle with it. In this case, point O is the point of intersection of the perpendicular bisectors of segments DE and EF.
As a result, O is equidistant from D, E, and F, as it lies on the perpendicular bisectors of these segments.
Therefore, a circle with center O and radius OD (or OE or OF) will pass through all three points. This is because the distance from O to each point is the same, making it equidistant from all three points and the center of the circle that passes through them.
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explain how the absolute refractory period ensures directionality of action potential propagation
The absolute refractory period, a crucial part in regulating the directionality of action potential propagation, is the brief period immediately following an action potential during which another action potential cannot be fired.
This absolute refractory period ensures that action potentials can only propagate in one direction; once an action potential is generated, its propagation is halted and cannot restart in reverse due to the absolute refractory period. This refractory period prevents the action potential from traveling in both directions, promoting the forward-only motion of the action potential.
Moreover, the absolute refractory period also ensures that once the action potential is generated, it progresses along the axon and does not become localized or fragmented. Thus, the presence of the absolute refractory period is essential for preventing the action potential from depolarizing the neuron in a chaotic manner and ensures proper and efficient transmission.
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the best defensive driving technique for windy conditions is driving _____________.
One of the best defensive driving techniques for windy conditions is driving with both hands on the steering wheel.
When driving in windy conditions, it is essential to take some safety precautions to avoid accidents and maintain control over the vehicle. A vehicle's stability and safety depend on the driver's ability to control it, especially in extreme weather conditions. Driving with both hands on the steering wheel is the most recommended defensive driving technique to stay in control of the vehicle during windy conditions. Besides driving with both hands on the steering wheel, it's essential to maintain a slow and steady speed, pay attention to the wind direction, and stay focused on the road. The strong wind can cause vehicles to drift, sway, or even flip, so it's necessary to keep a safe distance from other vehicles, especially large trucks or buses. When driving on a windy day, it's crucial to remain calm and avoid panic. Sudden movements and reactions can cause the driver to lose control of the vehicle, which could result in a severe accident. Therefore, it's best to stay alert, keep both hands on the steering wheel, and maintain a slow and steady speed to stay safe in windy conditions.
In conclusion, the best defensive driving technique for windy conditions is driving with both hands on the steering wheel, maintaining a slow and steady speed, and keeping a safe distance from other vehicles. Stay focused, stay calm, and stay safe. The answer to the question is: driving with both hands on the steering wheel.
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How much gravitational energy does a 65 kg skydiver have 650 m up in the sky?
Answer:
G.P.E = 414050 Joules or 414.05 Kilojoules
Explanation:
Given the following data;
Mass = 65 kg
Height = 650 m
We know that acceleration due to gravity is equal to 9.8m/s²
To find the gravitational potential energy;
Gravitational potential energy (GPE) is an energy possessed by an object or body due to its position above the earth.
Mathematically, gravitational potential energy is given by the formula;
\( G.P.E = mgh\)
Where;
G.P.E represents potential energy measured in Joules.m represents the mass of an object. g represents acceleration due to gravity measured in meters per seconds square. h represents the height measured in meters.Substituting into the equation, we have;
\( G.P.E = 65 * 9.8 * 650 \)
\( G.P.E = 414050 \)
G.P.E = 414050 Joules or 414.05 Kilojoules.
¡¡first convert revolutions per second to
radians per second by multiplying by
2pi (2). The angular acceleration is
radius*(ang. Velocity)2
.After you find acceleration, force(tension)is just mass∗
accel. >>
An athlete whirls an 8.45 kg hammer tied
to the end of a 1.4 m chain in a simple horizontal circle where you should ignore any vertical
deviations. The hammer moves at the rate of
0.595 rev/s.
What is the centripetal acceleration of the
hammer? Assume his arm length is included
in the length given for the chain.
Answer in units of m/s
004 (part 2 of 2)
What is the tension in the chain?
Answer in units of N
Answer:
a. 5.23 m/s² b. 44.23 N
Explanation:
a. What is the centripetal acceleration of the hammer?
The centripetal acceleration a = rω² where r = radius of circle and ω = angular speed.
Now r = length of chain = 1.4 m and ω = 0.595 rev/s = 0.595 × 2π/s = 3.74 rad/s.
So a = rω²
= 1.4 m × (3.74 rad/s)²
= 5.23 m/s²
b. What is the tension in the chain?
The tension in the chain, T = ma where m = mass of hammer = 8.45 kg and a = centripetal acceleration of hammer = 5.23 m/s². This tension is the centripetal force on the hammer.
So, T = 8.45 kg × 5.23 m/s²
= 44.23 N
A beam of light passes through water (n1=1.33) into a mystery substance at an angle of 43 (01) if the beam of the light refracts to an angle of 22 (02) in the mystery substance what is the refractive index (n2) of the mystery substance
The refractive index of the mystery substance is n2 = 2.17.
What is refractive index?Refractive index is a physical quantity that describes how light interacts with a particular material. It is defined as the ratio of the speed of light in a vacuum to the speed of light in the material. Refractive index is an important factor in optics, as it determines how much light is bent or refracted when it enters a material, and the angle at which it is refracted. Refractive index is also used to measure the thickness of a material or to calculate the index of refraction of a material. It is also used to determine the refractive properties of gemstones, for example in gemology.
The refractive index of the mystery substance (n2) can be calculated using Snell's law, which states that n1*sin(01) = n2*sin(02).
Therefore, n2 = n1*sin(01)/sin(02) = 1.33*sin(43°)/sin(22°) = 2.17
This means that the refractive index of the mystery substance is n2 = 2.17.
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How does one stage in a stars life lead to another
A wooden block moves at a constant speed on a rough horizontal surface. Draw a free-body diagram
clearly showing all the forces applied to the block; compare their magnitudes and directions.
The weight of the block and normal reaction are equal in magnitude but opposite in direction. Also, the frictional force and applied force are equal in magnitude but opposite in direction.
The forces acting on the wooden block moving at a constant speed include the following;
weight of block acting downwards, Wnormal reaction on the block acting upwards, Napplied force on the block acting towards positive x-direction, Ffrictional force acting towards negative x-direction, \(F_f\)The free-body diagram is presented below;
N
↑
\(F_f\) ← ⊕ → F
↓
W
The block is moving at a constant speed, we will have the following;
\(W = N \\\\F = F_f\)
Thus, we can conclude that the weight of the block and normal reaction are equal in magnitude but opposite in direction. Also, the frictional force and applied force are equal in magnitude but opposite in direction.
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If the bands in an igneous rock are dark. What kind of magma was present when it was formed?
Answer:
The magma, molten rock under the surface, and lava (molten rock on the surface) harden into igneous rock. The igneous rock then breaks apart over time through the process of weathering.
Explanation:
what happens when a magnet passes through a closed loop of wire?
A) an electric current is generated in the wire
B) any nearby magnets gain an electric charge
C) the looped part of the wire no longer is attracted to magnets
D) any device in the circuit becomes a permanent magnet
(A) an electric current is generated in the wire
Explanation :
When a close loop of wire pass through a magnetic field, an EMF is induced to the wire.
7. A car traveled at a steady speed of 24 m/s north for 30 minutes. What distance was covered?
1 minute = 60 seconds
30 minutes x 60 = 1800 seconds
24 m/s x 1800 seconds = 43,200 meters
1000 meters = 1 km
43,200 meters / 1000 = 43.2 km
The car traveled 43.2 km
if the sprinter travels at a constant speed velocity of 12 m/s for the last 64m, how long will it take to reach the finish line
Answer:
It will take 5.33 seconds
Explanation:
Divide the distance per velocity:
64/12 = 5.33
How do you find the magnitude of the electric field at the origin?
In order to find the magnitude of the electric field at the origin, you need to use the equation E = q/4πεr², where q is the charge, ε is the permittivity of space, and r is the distance from the origin.
To calculate the electric field, you must first determine the charge of the particle, then determine the distance to the origin, and finally, use the equation to calculate the magnitude of the electric field.
Once you have the magnitude of the electric field at the origin, you can then use it to explore the behavior of other electric fields in the area.
To calculate the magnitude, you must first determine the values of k, q, and r, then plug them into the equation and solve. The resulting answer will be the magnitude of the electric field at the origin.
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Question 10 of 10
Two particles are separated by 0.38 m and have charges of 1.25 x 10-9C and
1.92 * 10-°C. Use Coulomb's law to predict the force between the particles if
the distance is doubled. The equation for Coulomb's law is F = kouse, and
the constant, k equals 9.00 x 109 Nm²/C2
A. -1,50x10-7N
B. -3.74 x 10-8N
C. 1,50 x 10-7N
D. 3.74 x 10-8N
SUBMIT
Answer:
Its d 3.74 x 10-8N
Explanation:
Answer: 3.74 x 10-8 N
Explanation:
if you were a submarine commander and wanted to go deep enough that your ship would not feel the effect of 300 ft (91 meters) wavelength storm waves, how deep would you have to dive?
As a submarine commander, if you want to avoid the effect of 300 ft (91 meters) wavelength storm waves, you would need to dive to a depth of at least 152 meters (500 feet). This is because waves lose energy as they travel through the water, and the longer the wavelength, the deeper they penetrate.
Therefore, a 300 ft wavelength storm wave would lose most of its energy at a depth of around 152 meters (500 feet).
Diving to this depth would require careful consideration of several factors, including the safety of the submarine and its crew, the ability to navigate in deep waters, and the impact on mission objectives. It is also important to note that while diving to this depth may provide some protection against storm waves, it does not completely eliminate the risk of encountering dangerous conditions at sea. As such, it is critical for submarine commanders to remain vigilant and adaptable in responding to changing weather and ocean conditions.
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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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A wire of resistance 27 ohm is folded 3 times find its new resistance
Answer:
New resistance = 243 ohm
Explanation:
Given:
Current resistance = 27 ohm
Computation:
The wire is extended to three times its initial size, and its cross-section is therefore shortened to one-third of how it used to be. We found the current resistance to be 3x3= 9 times
So,
New resistance = 27 x 9
New resistance = 243 ohm
Light from an infinite distance way hits a convex lens. Where will the image form?
A.An infinite distance away
B.At the focal point of the lens
C.No image will form
D.Halfway between the focal point and the lens
If light from an infinite distance away hits a convex lens, the image will form at the focal point of the lens. So, the answer is B.
This is because when the object is at an infinite distance, the incoming light rays are parallel to each other. When these parallel rays pass through the convex lens, they converge to a point, which is the focal point of the lens.
Since the light rays converge at the focal point after passing through the lens, the image of the object will be formed at the focal point as well. Therefore, the correct option is B: at the focal point of the lens.
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Which of the following lines exists in a p-V diagram for water? O all of the mentioned O saturated liquid lines O saturated vapor line saturated solid line
In a p-V (pressure-volume) diagram for water, the line that exists is the saturated liquid line. This line represents the boundary between the liquid and vapor phases of water at equilibrium. It indicates the conditions at which water exists as a saturated liquid.
The saturated vapor line, on the other hand, represents the boundary between the liquid and vapor phases of water when it exists as a saturated vapor. The saturated solid line is not applicable in a p-V diagram for water, as water does not have a stable solid phase at standard atmospheric conditions.
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Select the correct answer. If the resistance remains constant and the voltage doubles, what effect will that have on the power? A. The power will remain the same. B. The power will decrease by a factor of 2. C. The power will decrease by a factor of 4. D. The power will increase by a factor of 2. E. The power will increase by a factor of 4.
If the resistance remains constant and the voltage doubles, the power will increase by a factor of 4 (option E)
How do i determine the new power?The following data were obtained from the question:
Initial power (P₁) = PInitial voltage (V₁) = VResistance = ConstantNew voltage (V₂) = 2VNew power (P₂) =?P = V² / R
Resistance is constant, we have
V₁² / P₁ = V₂² / P₂
V² / P = (2V)² / P₂
V² / P = 4V² / P₂
Cross multiply
V² × P₂ = P × 4V²
Divide both side by V²
P₂ = P × 4V² / V²
P₂ = P × 4
From the above, we can conclude that the power will increase by a factor of 4 (option E)
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Jacinta wrote the following passage about chemical changes.A chemical change is a change that results in one or more new substances with different properties. When a chemical change occurs, the new substance can give off an odor, such as rotting fruit or cookies baking in the oven. Chemical changes can cause color changes, such as iron rusting and turning a reddish-brown color. When wood is burned or ingredients are mixed for baking a cake, a new substance is made.
Choose the best statement that Jacinta can add to her passage.
Chemical changes, such as rotting fruit and burning wood, are affected by temperature. More heat and energy causes a faster chemical change.
Wood burning and fruit rotting creates new substances through a chemical change that is affected by sound energy.
Rotting fruit and burning wood is a chemical change that occurs because there is a decrease in temperature.
Less heat causes a faster chemical change. When a chemical change occurs, the new substance that is created has properties similar to the original substance.
Answer:
Chemical changes, such as rotting fruit and burning wood, are affected by temperature. More heat and energy causes a faster chemical change.
Explanation:
The best statement that Jacinta can add to her passage is:
Chemical changes, such as rotting fruit and burning wood, are affected by temperature. More heat and energy cause a faster chemical change.
This statement is correct because temperature is a factor that influences the rate of chemical reactions. Higher temperature means more kinetic energy for the molecules, which increases the chances of collisions and bond breaking. This leads to faster chemical changes and new substances being formed. The other statements are either incorrect or irrelevant to the topic of chemical changes.
What kind of energy does an unlit match have?
a. thermal energy
b. kinetic energy
c. chemical energy
Which describes what happens when fuel is ignited in a heat engine?
Chemical energy is converted into thermal energy.
Thermal energy is converted into solar energy.
Solar energy is converted into chemical energy.
O Thermal energy is converted into chemical energy.
Answer:
A
Explanation:
A 2,500 Hz sound wave travels with a speed of 15 m/s in water. A paleontologist measures
the valley to the second valley of the wave to be 7.5 cm.
➤What is the (a) period? What is the (b) frequency? What is the (c) wavelength?
The answers are A. The period of the wave is 4 × 10⁻⁴ s, B. The frequency is 2500 Hz and C. The wavelength is 6 cm.
A sound wave is a type of wave that travels through the medium by compressing and expanding the particles of the medium. These waves have certain characteristics that are used to measure their properties. The following are the answers to the given question: A 2,500 Hz sound wave travels with a speed of 15 m/s in water. A paleontologist measures the valley to the second valley of the wave to be 7.5 cm.a) The period of a wave is the time it takes to complete one cycle. The formula for calculating the period of a wave is Period = 1/Frequency. Here, the frequency of the wave is 2500 Hz. Hence, the period of the wave can be calculated as Period = 1/2500 Hz = 4 × 10⁻⁴ s.b) The frequency of a wave is the number of cycles that pass a point in one second. The formula for calculating the frequency of a wave is Frequency = 1/Period. Here, the period of the wave is 4 × 10⁻⁴ s. Hence, the frequency of the wave can be calculated as Frequency = 1/4 × 10⁻⁴ s = 2500 Hz.c) The wavelength of a wave is the distance between two successive points on the wave that are in phase. The formula for calculating the wavelength of a wave is Wavelength = Wave speed / Frequency. Here, the wave speed of the sound wave is 15 m/s and the frequency of the wave is 2500 Hz. Hence, the wavelength of the wave can be calculated as Wavelength = 15 / 2500 = 0.006 m = 6 cm.For more questions on frequency
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PLEASE HELP!! BRAINEST TO WHOEVER GETS IT
2. Choose the description for a
black hole.
emits intense radio and light energy
two stars moving around each other
a system of stars held together by gravity
repeated radio signal
collapsed star with intense gravitational field