The frequency of thunder, the sound associated with lightning, is about 100 cycles per second. Find the wavelength of this wave in dry air at 30 °C. Explain your reasoning

The length of the browser window (x) is 6. The dimensions of the screen are approximately 3 inches (width) and 18/13 inches (height).

Let's solve the equations step by step:

Part A:

The area of the browser window is given by the equation:

(x - 2) * x = 24

Expanding the equation:

[tex]x^{2}[/tex] - 2x = 24

Rearranging the equation to standard quadratic form:

[tex]x^{2}[/tex] -  2x - 24 = 0

Factoring the quadratic equation:

(x - 6)(x + 4) = 0

Setting each factor to zero:

x - 6 = 0 or x + 4 = 0

Solving for x:

x = 6 or x = -4

Since the length of the monitor cannot be negative, we discard the solution x = -4.

Therefore, the length of the browser window (x) is 6.

Part B:

The dimensions of the screen can be calculated using the length of the monitor (x+7) and the coverage ratio of the browser window (3/13).

The width of the screen is given by:

Width = (3/13) * (x + 7)

The height of the screen is given by:

Height = (3/13) * (x)

Substituting the value of x = 6:

Width = (3/13) * (6 + 7) = (3/13) * 13 = 3

Height = (3/13) * 6 = 18/13

Therefore, the dimensions of the screen are approximately 3 inches (width) and 18/13 inches (height).

To know more about dimensions here

https://brainly.com/question/23246002

#SPJ4

1. The value of g measured from the experiment is approximately 5.646 m/s^2.

To determine the value of acceleration due to gravity (g) using the given information, we can utilize the kinematic equation for the motion of a falling object:

h = 0.5 * g * t^2

where:

h is the height (1.650 m),

g is the acceleration due to gravity (what we want to find), and

t is the time taken (0.585 s).

a) To find the value of g, we rearrange the equation to solve for g:

g = 2h / t^2

Substituting the given values:

g = 2 * 1.650 m / (0.585 s)^2

g = 5.646 m/s^2

Therefore, the value of g measured from the experiment is approximately 5.646 m/s^2.

2. Air resistance: In real-world scenarios, the presence of air resistance can affect the motion of falling objects. The simplified equation used assumes no air resistance, which may result in a deviation from the accepted value.

Imperfect timing device: The accuracy of the timing device used in the experiment can introduce errors. Even small errors in measuring the time can lead to significant differences in the calculated value of g.

Read more on Air resistance :https://brainly.com/question/9143942

#SPJ4

According to the information we can infer that the features of a thermos flask include double-walled insulation, a vacuum seal, a durable exterior, and a convenient lid. Its main function is to keep hot beverages hot and cold beverages cold for extended periods.

According to the above the thermos flasks are designed with features such as double-walled insulation, a vacuum seal, a durable exterior, and a convenient lid.

Learn more about thermal flask in: https://brainly.com/question/31517920
#SPJ4

The error in the student's reasoning is that they have conflated the concept of atomic number with the process of beta-minus decay.

While it is true that the atomic number of the nucleus decreases by one in beta-minus decay, this alone does not accurately model the entire process. Beta-minus decay is a specific type of radioactive decay in which a neutron in the nucleus is converted into a proton, emitting an electron (beta particle) and an antineutrino. This conversion results in the increase of the atomic number by one, not the decrease.

Therefore, the equation representing beta-minus decay should show an increase in the atomic number, not a decrease. The student's claim overlooks the fundamental mechanism of beta-minus decay and misinterprets the change in atomic number, leading to an incorrect understanding of the process.

for such more questions on atomic

https://brainly.com/question/621740

#SPJ8

The mass of the sample of solid Y is approximately 56.6 grams. "Solid" is a term used to describe a state of matter. In the context of materials, a solid refers to a substance that has a definite shape and volume.

To determine the mass of the sample of solid Y, we can use the equation:

Q = m * C * ΔT

Where:

Q is the heat absorbed (in calories)

m is the mass of the sample (in grams)

C is the specific heat capacity of the solid Y (in cal/g°C)

ΔT is the change in temperature (in °C)

Given:

Specific heat of solid Y (C) = 11.5 cal/g°C

Initial temperature (T₁) = 135 K

Final temperature (T₂) = 260 K

Heat absorbed (Q) = 7.90 kcals = 7.90 * 1000 cal

First, we need to convert the temperatures from Kelvin to Celsius:

T₁ = 135 K - 273.15 = -138.15 °C

T₂ = 260 K - 273.15 = -13.15 °C

Next, we can calculate the change in temperature:

ΔT = T₂ - T₁ = (-13.15 °C) - (-138.15 °C) = 125 °C

Now, we can substitute the values into the equation and solve for the mass (m):

Q = m * C * ΔT

7.90 * 1000 cal = m * 11.5 cal/g°C * 125 °C

Divide both sides of the equation by (11.5 * 125):

7.90 * 1000 cal / (11.5 cal/g°C * 125 °C) = m

m ≈ 56.6 grams

Learn more about solid Y here:

https://brainly.com/question/24785267

#SPJ11

The approximate vertical component of the initial velocity is 21.7 m/s.

option D.

The approximate vertical component of the initial velocity is calculated by applying the following equation as follows;

Mathematically, the formula vertical component of velocity is given as;

Vy = V sinθ

where;

The approximate vertical component of the initial velocity is calculated as;

Vy = 25 m/s  x sin (60)

Vy = 21.7 m/s

Learn more about vertical component of velocity here: https://brainly.com/question/24949996

#SPJ4

The International Astronomical Union (IAU) has identified 88 constellations.

A constellation is an area of the celestial sphere as defined by the International Astronomical Union (IAU).

There are 88 constellations, each with a particular area and a list of stars associated with it. The majority of constellations are named after ancient Greek and Roman mythological characters, with a few named after animals, scientific instruments, and seasonal objects like planets and the zodiac, as well as a handful named after navigational tools and historical figures. The concept of constellations dates back thousands of years, and their use in astronomy has allowed astronomers to create a map of the sky and chart the motions of celestial objects.

learn more about constellations here

https://brainly.com/question/667281

#SPJ11

The highest-order number that can be observed with this grating using diffraction formula is 1/1555.

It is determined using the formula for diffraction: mλ = d sinθ. Where m is the order number, λ is the wavelength of light, d is the grating spacing, and θ is the angle of diffraction. In this case, the grating has 1555 lines/cm, which means the grating spacing is 1/1555 cm.

To determine the highest-order number, calculate m × (565 × 10^-9 meters) = (1/1555 cm) × sinθ, where θ must be less than or equal to 90 degrees to satisfy sinθ ≤ 1. Given the wavelength of light as 565 nm (or 565 × 10^-9 meters), we can proceed with the calculation. Since sinθ ≤ 1, the highest-order number (m) can be determined by substituting θ = 90 degrees into the equation: m = (1/1555 cm) × sin(90 degrees).

To know more about grating, visit

https://brainly.com/question/30460514

#SPJ11

If the nozzle of the print head in an inkjet printer ejected ink droplets with a higher speed than normal, the strength of the field between the deflection plates would need to be adjusted to accommodate this higher speed to ensure that the ink goes into the gutter.

Inkjet printers utilize deflection plates to change the path of the ink droplets. In a situation where the nozzle of the print head ejects ink droplets at a higher velocity than normal, the deflection plates would require a stronger electric field to redirect the ink droplets to the gutter.

The electric field's strength applied to the deflection plates determines the ink droplets' direction, and the droplets can be directed to the print paper or gutter. The strength of the electric field is determined by the deflection plate's width and the voltage applied to it.

The force applied on the ink droplet depends on the charge of the droplet and the strength of the electric field applied to the deflection plates. The strength of the electric field must be adjusted to accommodate the droplets' increased velocity, and this would ensure that the ink goes into the gutter.

learn more about force here

https://brainly.com/question/30236242

#SPJ11

To calculate the average speed, we need to convert the distances and times into a consistent unit. Let's convert the distance in kilometers to miles for the second part of the run.

1 kilometer is approximately equal to 0.62137 miles. Therefore, 3 km is approximately 1.86411 miles.

Now, let's calculate the total distance and total time for the entire run:

Total distance = 2 miles + 1.86411 miles = 3.86411 miles

Total time = 13 minutes + 20 minutes = 33 minutes

Average speed is calculated by dividing the total distance by the total time:

Average speed = Total distance / Total time = 3.86411 miles / 33 minutes

To convert the average speed to a more common unit, let's convert minutes to hours:

33 minutes is equal to 33/60 = 0.55 hours

Average speed = 3.86411 miles / 0.55 hours ≈ 7.02657 miles per hour

Therefore, the runner's average speed for the entire run is approximately 7.03 miles per hour.

Learn more about average speed here:

brainly.com/question/13318003

#SPJ11

When a motor runs in an electric circuit, the primary energy transformation that takes place is the conversion of electrical energy into mechanical energy. This conversion is made possible by the interaction of electromagnetic forces within the motor.

Initially, the battery in the circuit supplies electrical energy to the motor. The electrical energy is in the form of a flow of electrons through the wires, creating an electric current. This current is directed through the motor's coils, which are usually made of conducting materials, such as copper wire, wrapped around a core.

As the electric current passes through the coils, it generates a magnetic field around them due to the principles of electromagnetism. The magnetic field interacts with the permanent magnets or electromagnets within the motor, resulting in a force that causes the motor's rotor (the moving part) to rotate.

The rotation of the rotor leads to the mechanical energy transformation. The electrical energy provided by the battery is converted into kinetic energy as the motor's shaft starts to turn. This kinetic energy can be harnessed to perform useful work, such as driving a fan, operating machinery, or propelling a vehicle.

In summary, the energy transformation that occurs when a motor runs in an electric circuit is the conversion of electrical energy into mechanical kinetic energy. This transformation enables the motor to perform various tasks and is fundamental to the operation of numerous devices and systems in our daily lives.

To know more about Energy visit-

brainly.com/question/1932868

#SPJ11

When the results of an experiment disagree with a major scientific theory, it is important for the scientist to follow a systematic and rigorous approach to understand and address the discrepancy. Here are some steps the scientist should consider:

1. Verify the experiment: Ensure that the experiment was conducted accurately and all variables were controlled properly. Check for any errors or potential sources of bias in the experimental setup or data collection process.

2. Repeat the experiment: Replicate the experiment multiple times to confirm the results and rule out any chance occurrences or anomalies. If the discrepancy persists, it strengthens the need for further investigation.

3. Review the existing theory: Thoroughly examine the major scientific theory that is being contradicted. Consider the strength of the theory, its supporting evidence, and its applicability to the specific experimental context.

4. Analyze the results: Conduct a detailed analysis of the experimental data, taking into account any potential confounding factors or alternative explanations. Look for patterns, correlations, and inconsistencies that could shed light on the discrepancy.

5. Seek peer review and collaboration: Engage with the scientific community by presenting the findings at conferences, publishing in reputable journals, and seeking feedback from peers. Collaborating with other scientists who have expertise in the field can provide valuable insights and guidance.

6. Conduct further research: Design follow-up experiments or studies to gather additional data and investigate the underlying mechanisms causing the discrepancy. Consider incorporating different methodologies or approaches to gain a more comprehensive understanding.

7. Refine or propose new theories: If the discrepancy persists and is supported by robust evidence, it may be necessary to refine or propose new theories that can better explain the experimental results. This could involve modifying existing theories or developing entirely new frameworks.

In summary, when experimental results disagree with a major scientific theory, it is crucial for the scientist to carefully evaluate and investigate the discrepancy, seek feedback from the scientific community, and consider the implications for existing theories. This iterative process contributes to the advancement of scientific knowledge and understanding.

Learn more about the scientific method and addressing discrepancies in scientific research here:

brainly.com/question/30713602

#SPJ11

The magnitude of the electric force is 8.21 × 10⁻⁸ N and the gravitational force is 3.61 × 10⁻⁸ N. The electric force acting between the electron and proton of hydrogen atom is given by: Coulomb's Law of electrostatics, F = 1 / 4πε₀ × q₁q₂ / r².

Given that, Distance between the electron and proton of a hydrogen atom, r = 5.3 × 10⁻¹¹m, Mass of an electron, m₁ = 9.1 × 10⁻³¹ kg, Mass of a proton, m₂ = 1.67 × 10⁻²⁷ kg, Charge of an electron, q₁ = -1.6 × 10⁻¹⁹ C, Charge of a proton, q₂ = +1.6 × 10⁻¹⁹ C.

Where,ε₀ = permittivity of free space = 8.854 × 10⁻¹² C²/N m²

F = 1 / 4π (8.854 × 10⁻¹²) × (1.6 × 10⁻¹⁹)² / (5.3 × 10⁻¹¹)²

F = 8.21 × 10⁻⁸ N

The gravitational force acting between the electron and proton of hydrogen atom is given by:

Newton's Law of gravitation, F = G × m₁m₂ / r², Where, G = gravitational constant = 6.67 × 10⁻¹¹ N m²/kg²

F = (6.67 × 10⁻¹¹) × (9.1 × 10⁻³¹) × (1.67 × 10⁻²⁷) / (5.3 × 10⁻¹¹)²

F = 3.61 × 10⁻⁸ N

Therefore, the magnitude of the electric force is 8.21 × 10⁻⁸ N and the gravitational force is 3.61 × 10⁻⁸ N.

To know more about electric force, refer

https://brainly.com/question/30236242

#SPJ11

According to the solving the percentage of voltage drop is 2.8%

Let V = Source voltage

= 277 volts

Let R = Total line resistance of the circuit conductors

= 0.5 Ω

Let A = Each row drawing

= 12.5 amperes

Let k = 12.6

The voltage drop formula is given by:

Vdrop = kRA

Where; Vdrop = Voltage drop

= Constant of the wire

= Total line resistance

A = Load Current

Putting the given values in the voltage drop formula, we get;

Vdrop = 12.6 x 0.5 Ω x (12.5 + 12.5) amps

Vdrop = 12.6 x 0.5 Ω x 25 amps

Vdrop = 7.875 volts

Percentage of Voltage drop = (Vdrop / V) x 100%= (7.875 / 277) x 100%

Percentage of Voltage drop = 2.8427 % ≈ 2.8%

Therefore, the percentage of voltage drop is 2.8%.

To learn more about voltage, visit:

https://brainly.com/question/32002804

#SPJ11

The velocity with which the car and man will start moving is d.) 3.02 m/s. Hence, option d) is the correct answer. The formula for the momentum is p= mv.

Initially, the momentum of the man is given by: mv = 70 kg × (18 km/h) × (1 h/3600 s) × (1000 m/1 km)

= 35/18 m/s × 70 kg

= 1225/18 kg m/s

The momentum of the car is given by: p = mv

= 0 kg × v

= 0

Since the total momentum before the man jumps into the car is zero and the total momentum after the man jumps into the car is conserved, the total momentum is given by: mv + mv' = 0

where v' is the velocity of the car and man after they combine. Rearranging the equation above gives: v' = -mv / m' where m is the mass of the man and m' is the combined mass of the car and man: v' = -70 kg × 35/18 m/s / (70 kg + 100 kg)

= -35/26 m/s

≈ -1.35 m/s

Note that the negative sign implies that the velocity of the man is opposite to that of the car. The magnitude of the velocity is obtained by taking the absolute value: v' = 35/26 m/s ≈ 1.35 m/s

Therefore, the velocity with which the car and man will start moving is 3.02 m/s (to two decimal places).

To know more about velocity, refer

https://brainly.com/question/80295

#SPJ11

The gravitational potential energy of the rock is 1,372 Joules.

The gravitational potential energy (PE) of an object can be calculated using the formula:

PE = m * g * h, where:

m is the mass of the object,

g is the acceleration due to gravity, and

h is the height or distance above the reference point.

In this case, the mass of the rock (m) is 20 kilograms, and the height (h) is 7.0 meters.

The acceleration due to gravity (g) is approximately 9.8 m/s².

Now we can calculate the gravitational potential energy:

PE = 20 kg * 9.8 m/s² * 7.0 m

PE = 1,372 Joules

Therefore, the gravitational potential energy of the rock is 1,372 Joules.

Learn more about gravitational PE visit:

brainly.com/question/3910603

#SPJ11

While the frequency of a wave does not directly affect its wave speed, it can influence other wave properties.

The frequency of a wave is defined as the number of complete cycles or oscillations it completes in one second. The wave speed, on the other hand, refers to the speed at which the wave propagates through a medium.

In general, the frequency of a wave does not have a direct impact on its wave speed. Wave speed is primarily determined by the properties of the medium through which the wave is traveling, such as its density and elasticity.

Therefore, the ten-fold increase in frequency from about 0.1 Hz to about 10 Hz would not have a noticeable or appreciable effect on the wave speed itself. The wave speed would remain relatively constant unless there are changes in the properties of the medium.

However, it is worth noting that changes in frequency can affect other wave characteristics, such as wavelength and period. The wavelength is the distance between two consecutive crests or troughs of a wave, while the period is the time it takes for one complete cycle of the wave. These quantities are related to frequency through mathematical relationships.

Learn more about wave here:

https://brainly.com/question/27808898

#SPJ11

The final image of the original triangle after reflection in the line R=5 and translation by (7,-9) is the triangle F"G"H" with vertices F"(11,-3), G"(9,-1), and H"(9,-12).

(a) Reflection is a transformation in which a shape is mirrored, or flipped over a line called the reflection line. In this problem, the reflection is to take place in the line, R = 5.

This line is vertical; therefore, it passes through points (5,0), (5,1), (5,2), and so on.

The reflection image of point F on the line R=5 is point F', where FF' is perpendicular to line R.

FF' intersects line R at point P, which is equidistant from F and F'.

Hence, the reflection image of F(6,6) on R=5 is F'(4,6).

Similarly, the reflection image of point G(8,8) on line R=5 is G'(2,8), and that of H(8,3) is H'(2,-3).

Therefore, the reflected triangle is F'G'H' with vertices F'(4,6), G'(2,8), and H'(2,-3).

(b) Translation: (x, y) - (x - 7, y-9)

Translation involves moving a shape to a new position without changing its size, shape, or orientation. The new position of each point is obtained by adding the translation vector (7,-9) to the coordinates of the corresponding point. The image of F'(4,6) after the translation is F"(11,-3).

Similarly, G'(2,8) maps to G"(9,-1), and H'(2,-3) maps to H"(9,-12).

The translated triangle is F"G"H" with vertices F"(11,-3), G"(9,-1), and H"(9,-12).

To learn more about reflection click here https://brainly.com/question/15487308

#SPJ11

Based on the observation that the air over the land is much warmer than the air over the water during the day, the students most likely observed the wind blowing from the water towards the land.

The movement of air from the water to the land is known as a sea breeze. During the day, the land heats up more quickly than the water due to differences in their heat capacities. As a result, the air over the land becomes warmer and rises, creating a lower pressure area. The cooler air over the water, which has higher pressure, then moves towards the land to replace the rising warm air, resulting in a wind blowing from the water to the land. Therefore, the wind is most likely blowing from the east to the west in this scenario.

To learn more about capacities, https://brainly.com/question/28495814

#SPJ11

True. Research indicates that a speaker's voice quality can have a significant impact on the audience's evaluation, often more than the content of the speaker's speech.

Voice quality includes factors such as tone, pitch, volume, clarity, and overall vocal delivery. The way a speaker uses their voice can influence how their message is perceived and received by the audience. Even if the content of a speech is well-crafted and informative, poor or ineffective voice quality may hinder the audience's engagement and evaluation of the speaker. Therefore, it is crucial for speakers to pay attention to their voice quality and develop effective vocal skills to enhance their overall communication and connection with the audience.

To know more about pitch, visit:

https://brainly.com/question/3478379

#SPJ11

To determine the crate's final velocity after 0.5 seconds, we can use the concept of Newton's second law of motion, which states that the net force acting on an object is equal to its mass multiplied by its acceleration.

In this scenario, the stevedore applies a horizontal force of 175 N to move the crate along the dock. However, there is also an opposing force of friction acting in the opposite direction, which has a magnitude of 120 N. The net force is the difference between these two forces, so we can calculate it as follows:

Net force = Applied force - Frictional force

Net force = 175 N - 120 N

Net force = 55 N

Now, using Newton's second law of motion, we can determine the acceleration of the crate. Rearranging the equation, we have:

Net force = mass * acceleration

55 N = 50 kg * acceleration

Solving for acceleration:

acceleration = 55 N / 50 kg

acceleration = 1.1 m/s²

Since we know the initial velocity of the crate is zero (as it starts from rest), and we want to find the final velocity after 0.5 seconds, we can use the equation of motion:

final velocity = initial velocity + (acceleration * time)

Plugging in the values:

final velocity = 0 + (1.1 m/s² * 0.5 s)

final velocity = 0.55 m/s

Therefore, the crate's final velocity after 0.5 seconds is 0.55 m/s. This means that after being subjected to a 175 N force and experiencing 120 N of friction, the crate gains a velocity of 0.55 m/s in the direction of the applied force.

To know more about Velocity visit-

brainly.com/question/30559316

#SPJ11

Benny spent half of his allowance going to the movies. He washed the family car and earned six dollars. His weekly allowance if he ended with eighteen dollars is 48 dollars.

Let's denote Benny's weekly allowance as 'x'.

Benny spent half of his allowance going to the movies, which is (1/2)x.

He earned six dollars by washing the family car.

Therefore, his total expenses would be (1/2)x + 6 dollars.

If he ended with eighteen dollars, his total expenses must be equal to his initial allowance subtracted by the amount he ended with. So we have the equation:

(1/2)x + 6 = x - 18

x + 12 = 2x - 36

x + 12 - x = 2x - x - 36

12 = x - 36

x = 48

Therefore, Benny's weekly allowance is 48 dollars.

To know more about allowance here

https://brainly.com/question/30547006

#SPJ4

Alice and Bob's swimming speeds with respect to the water are 2.62 km/h each. Let Alice swim across the river straight from A to B while Bob swims perpendicular to the river and is carried some distance downstream by the flow.

Let's consider the distance Alice swims from A to B to be "d," which is the same as the distance Bob walks along the river from the point where he lands to B. Let the time taken by Alice be "t" (hours) to swim across the river straight from A to B, and let the distance Bob is carried by the river be "x."

Let's take "v" as the walking speed of Bob (km/h).Since Alice's and Bob's arrival time is the same at B, d/2.62 = (d-x)/(2.62)² + (x² + d²)¹/²  / 0.523 ...(1) [Applying the Pythagorean theorem in the triangle ABC in the given diagram.]

d/2.62 = (d-x)/0.2734 + (x² + d²)¹/²  / 0.523 ...(2) [Squaring both sides of (1)]Now, equating (1) and (2) and solving for "x," we have: x = 0.6 d

Substituting this value of "x" in (1), we get: d/2.62 = (0.4 d)/(2.62)² + (d² + 0.36 d²)¹/²  / 0.523 ...(3)Substituting the values in equation (3), we get:0.38 d = 2.38d = 6.26 km

Therefore, Alice's time to swim across the river straight from A to B is: d/2.62 = 2.39 hours Now, substituting the value of "d" in (1), we have: v = 0.4×6.26/0.39 = 6.44 km/h Therefore, the speed of Bob's walk to reach point B is 6.44 km/h if he reaches point B at the same time as Alice.

To know more about perpendicular visit :

https://brainly.com/question/25991713

#SPJ11

The loss of heat energy when a 6.4 kg cloud of steam at 150 degrees Celsius hits you and cools to 100 degrees Celsius is 13,440,000 Joules.

To calculate the heat energy loss, we can use the formula:

Q = mcΔT

Where Q represents heat energy, m is the mass of the steam cloud (6.4 kg), c is the specific heat capacity of water (4,186 J/kg°C), and ΔT is the change in temperature (150°C - 100°C = 50°C).

Plugging in the values, we have:

Q = (6.4 kg) × (4,186 J/kg°C) × (50°C)

Q = 13,440,000 Joules

Therefore, the loss of heat energy when the steam cools from 150°C to 100°C is 13,440,000 Joules.

Learn more about heat energy calculations here:

https://brainly.com/question/30320641

#SPJ11

A 0.12-meter-long electromagnetic (radar) wave is emitted by a weather station and reflected from a nearby thunderstorm. The frequency of the radar wave is 2.5 GHz.

To determine the frequency of the radar wave, we can use the wave equation:

v = λf

Where:

v is the speed of light in a vacuum (approximately 3.00 x 10⁸ meters per second)

λ is the wavelength of the radar wave

f is the frequency of the radar wave

Given:

Wavelength (λ) = 0.12 meters

f = v / λ

Substituting the given values:

f = (3.00 x 10⁸ meters per second) / (0.12 meters)

f ≈ 2.5 x 10⁹ Hz

Therefore, the frequency of the radar wave is approximately 2.5 x 10⁹ Hz (or 2.5 GHz).

To know more about electromagnetic wave here

https://brainly.com/question/29774932

#SPJ4

To solve this problem, we can use the principle of conservation of momentum. According to this principle, 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 denote the momentum of the orange ball before the collision as p1, and the momentum of the green ball after the collision as p2.

Given:

Initial momentum of the orange ball (p1) = 135 g · m/s

Final momentum of the orange ball (p1') = 60 g · m/s

Momentum of the green ball after the collision (p2) = ?

Since momentum is a vector quantity, we need to consider both the magnitude and direction. In this case, the orange ball continues in the same direction after the collision, so the magnitude of its momentum decreases from 135 g · m/s to 60 g · m/s.

Using the principle of conservation of momentum:

p1 + 0 = p1' + p2

Substituting the given values:

135 g · m/s + 0 = 60 g · m/s + p2

Simplifying the equation:

p2 = 135 g · m/s - 60 g · m/s

p2 = 75 g · m/s

Now, we need to convert the momentum of the green ball from grams to kilograms:

1 g = 0.001 kg

p2 = 75 g · m/s * 0.001 kg/g

p2 = 0.075 kg · m/s

Therefore, the momentum of the green ball right after the collision is 0.075 kg · m/s.

To know more about Momentum visit-

brainly.com/question/30677308

#SPJ11

The angular and linear speed are 5π rads/ seconds and 10π meter/ seconds.

In order to calculate the angular speed of the boy, we will use the equation below.

w =2πn/ T

Where

radius is 2 meter

number of oscillation is 10.

time is 4 s

So, we have

w = 2π * 10/4

w = 5π rads/ seconds.

To calculate the linear speed.

v = r *w

v = 2 * 5π

v = 10π meter/ seconds

Therefore, the angular and linear speed are 5π rads/ seconds and 10π meter/ seconds.

Learn more about speed below.

https://brainly.com/question/10100

#SPJ4

The wavelength of the waves is 48 meters, the frequency of the waves is approximately 0.1515 Hz, and the speed of the waves is approximately 7.272 m/s.

To determine the wavelength, frequency, and speed of the waves, we can use the formula:

v = λf

where:

v is the speed of the wave,

λ is the wavelength of the wave, and

f is the frequency of the wave.

Given:

Time for one complete vibration cycle (T) = 6.6 seconds

Distance between piers (d) = 24 meters

First, we need to find the frequency (f) of the waves:

Since the time for one complete vibration cycle is equal to the period (T), we have:

T = 1/f

Rearranging the equation, we find:

f = 1/T

Substituting the given value:

f = 1/6.6

f ≈ 0.1515 Hz (rounded to four decimal places)

Next, we can find the wavelength (λ) of the waves:

λ = 2d

Substituting the given value:

λ = 2 * 24

λ = 48 meters

Finally, we can find the speed (v) of the waves:

v = λf

Substituting the calculated values:

v = 48 * 0.1515

v ≈ 7.272 m/s (rounded to three decimal places)

Therefore, the wavelength of the waves is 48 meters, the frequency of the waves is approximately 0.1515 Hz, and the speed of the waves is approximately 7.272 m/s.

To know more about  frequency,

brainly.com/question/31143857

#SPJ11

The new angular speed when the man walks to a point 0 m from the center is 1.41 rad/s.

The change in kinetic energy due to this movement is 193 J.

Part 1

To solve this, use the following equation:

ω = ω_0 × I_0 / I_f

where:

ω = new angular speed

ω_0 = initial angular speed

I_0 = initial moment of inertia

I_f = final moment of inertia

The initial angular speed is given as 0.35 rev/s. The initial moment of inertia is the moment of inertia of the merry-go-round alone. The final moment of inertia is the moment of inertia of the merry-go-round plus the man.

The moment of inertia of a solid cylinder is given by the following equation:

I = mr²

where:

I = moment of inertia

m = mass

r = radius

The mass of the merry-go-round is 50 kg and the radius is 2.5 m. The mass of the man is 86 kg.

Plugging these values into the equation:

I_0 = 50 kg × (2.5 m)² = 312.5 kg m²

I_f = 50 kg × (2.5 m)² + 86 kg × 0 m² = 312.5 kg m²

Plugging these values into the equation for ω:

ω = 0.35 rev/s × 312.5 kg m² / 312.5 kg m² = 1.41 rad/s

Part 2

The kinetic energy of a rotating object is given by the following equation:

K = 1/2 I ω²

where:

K = kinetic energy

I = moment of inertia

ω = angular speed

The initial kinetic energy is the kinetic energy of the merry-go-round alone. The final kinetic energy is the kinetic energy of the merry-go-round plus the man.

Plugging the values for I and ω into the equation for K:

K_0 = 1/2 × 312.5 kg m² × (0.35 rev/s)² = 13.8 J

K_f = 1/2 × 312.5 kg m² × (1.41 rad/s)² = 206.25 J

The change in kinetic energy is K_f - K_0 = 206.25 J - 13.8 J = 193 J.

Find out more on kinetic energy here: https://brainly.com/question/30337295

#SPJ4