the 0.9-kg ball strikes the rough ground and rebounds with the velocities shown.

Answers

Answer 1

The amount of energy transferred is 73.8 Joules.

When a ball strikes the rough ground and rebounds with the velocities shown, there is a transfer of energy between the ball and the ground. The amount of energy transferred can be determined using the law of conservation of energy, which states that energy cannot be created or destroyed, only transferred from one form to another. In this case, the energy is transferred from the ball to the ground and then back to the ball again when it rebounds.

To calculate the amount of energy transferred, we can use the formula:
E = (1/2)mv^2

Where E is the energy, m is the mass of the ball, and v is the velocity of the ball. In this case, the mass of the ball is 0.9 kg and the velocities are shown in the diagram. We can calculate the energy for each velocity using the formula above.
For the first velocity, the energy is:
E = (1/2)(0.9)(10)^2
E = 45 Joules

For the second velocity, the energy is:
E = (1/2)(0.9)(-8)^2
E = 28.8 Joules

So the total energy transferred is:
E = 45 + 28.8
E = 73.8 Joules

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Related Questions

How did Asian art start ?

Answers

Answer:

The history of Asian art includes a vast range of arts from various cultures, regions and religions across the continent of Asia. ... Central Asian art primarily consists of works by the Turkic peoples of the Eurasian Steppe, while East Asian art includes works from China, Japan, and Korea.

The Evolution of Asian Art

History marks the beginning with Hindu and Buddhist art around the 5th century BCE. These ancient religions were largely represented by an introspective way of life, and their followers adorned their temples with elaborately carved walls and stone statues.

analysis of a bus crashgiven the following theoretical data for the collision, answer the following questions and complete the data table. show work! bus suv m v p m v p total momentum before collision 1600 kg 10 m/s 600 kg 0 after collision 1600 kg 3 m/s 600 kg 1. what is the change in momentum of the bus?

Answers

The change in the momentum of the bus is 10600 kg-m/s, if bus of 1600 kg crashes with a SUV of 600 kg.

The mass of the bus, m₁ = 1600 kg

The mass of the SUV, m₂ = 600 kg

Initial velocity of the bus, v₁ = 10 m/s

initial velocity of the SUV, v₂ = 0 (at rest)

Velocity of the bus after collision, v₃ = 3 m/s

Velocity of the SUV after collision, v₄ = 1 m/s

The change in momentum(Δp) is given by,

Δp = (m₁v₁ + m₂v₂) - (m₁v₃ + m₂v₄)

Δp = (1600 × 10 + 600 × 0) - (1600 × 3 + 600 × 1)

Δp = 16000 - 5400

Δp = 10600 kg-m/s

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if you stand on a bathroom scale and it reads 498 n, what is the value of the upward support force, in n, acting on you?

Answers

If you stand on a bathroom scale and it reads 498 N, the value of the upward support force, in N, acting on you is also 498 N.

If the bathroom scale reads 498 N, it means that the scale is measuring the force exerted on it by your weight. Therefore, the value of the upward support force acting on you is also 498 N. This is because the scale is designed to balance out the downward force of your weight with an equal and opposite upward force. To find the value of the upward support force acting on you, we need to understand the concept of weight and the forces acting on an object.

1. Weight: Weight is the force exerted on an object due to gravity. It is the product of an object's mass and the acceleration due to gravity.

2. Mass: Mass is a measure of the amount of matter in an object. It is a scalar quantity and is usually measured in kilograms (kg).

3. Acceleration due to gravity: On Earth, the acceleration due to gravity is approximately 9.8 meters per second squared (m/s²).

4. Upward support force: When you stand on a bathroom scale, it measures the force exerted on it by your weight. The scale displays the magnitude of this force.

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Write a 4-5 sentences paragraph explaining how one of the following organisms with adapt to a new environment (what adaptations would they not need and what ones what they need?What would they eat?)

1. Polar bear moving to a tropical rainforest.

2. Lizard moving to the North Pole

Be Creative!!!!!
No googling! Or no links

Answers

Answer:

We're supposed to write a 4-5 paragraph essay for only 6 points...sorry but no

Explanation:

1. Place the following in logical order by writing the numbers 1 through 6 in the spaces provided.
a. analyze the data
b. test the hypothesis
c. form a hypothesis
d. gather information
e. state the problem
f. draw conclusions

1. Place the following in logical order by writing the numbers 1 through 6 in the spaces provided.a.

Answers

Answer:

ecdbaf

Explanation:

The logical order of the steps of the scientific method is as follows:

a. analyze the data -- 5

b. test the hypothesis - 4

c. form a hypothesis - 3

d. gather information - 2

e. state the problem - 1

f. draw conclusions - 6

Each experiment and research uses the scientific method to test their hypothesis or solving the problem. The scientific method is a step-by-step process to acquire knowledge about a particular problem. There are the following steps in the scientific method

1st step - state the question/problem2nd step - gather information3rd step - form a hypothesis4th step - test the hypothesis5th step - analyze the resultsThe final step - draw a conclusion

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When the switch is closed electrons will flow from.

Answers

The statement is true, when the switch is closed electrons will flow.

What is current?

Current can be defined as the rate of flow of charges or electrons in a given circuit.

Q = It

I = Q/t

where

Q is charget is timeI is currentWhat is a Closed circuit?

A closed circuit is a type of circuit in which the wire connection of the circuit is complete and in which current flows.

Switch can be used close or open a circuit.

Thus, the statement is true, when the switch is closed electrons will flow.

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Two spheres a and b of mass 6.5 kg and 8.3 kg, respectively, are separated by a distance of 0.56 m. (a) calculate the magnitude, in n, of the gravitational force a exerts on b and b exerts on a. force a exerts on b n force b exerts on a n (b) if the force between the spheres is now 3.50 10-9 n, how far apart are their centers, in meters

Answers

Force here between 3.50 10-9 n is equal to 0.94892 m in meters, and the force from A on B is equal to 9.0536x10-9 N in force. Measured is units of n, gravitational force is the force that one item exerts on another.

What is a force in science, exactly?

In science, "force" is defined in a precise manner. For a force of this magnitude, either the term "push" or "pull" is perfectly suitable.. A force from one thing can exert pressure on it. A force is a force, regardless of whether anything is alive or not.

F = Gm1m2/r2 F = 6.67x10-11*7.5*6.3/0.592 = 9.0536x10-9 N force applied by B to A = F = 9.0536x10-9 N b) F = 3.5x10-9 N G7.5*6.3/r2 = 3.5x10-9 r2 = 0.9 r = 0.94892 m

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The mass of a bag of sugar is 1kg
On earth the weight of this bag of sugar is 10N
On mars the weight of this bag of sugar is 4N

Suggest why the weight of this bag of sugar is different on earth and on mars.

Answers

Answer:

See below

Explanation:

The weight of an object on the surface of a planet is given by

\(F = G\dfrac{mM}{r^2}\\\\\)

where F is the force or weight in Newtons

G is the universal gravitational constant

m is the mass of the object

M is the mass of the planet

r is the radius of the planet

Mars has a smaller radius and smaller mass than the Earth.

The gravitational force on Mars is approximately 38% of the gravitational force on Earth because of the smaller mass and smaller radius

So an object weighing about 10N on earth will weigh only about 3.8N ≈ 4N

The luminostiy of a star is a measure of the star's...

brightness

color

spectral class

size

Answers

The luminosity of a star is a measure of its brightness, specifically, the total amount of energy it emits per unit time.

It is often described in terms of the star's apparent magnitude, which is how bright it appears to us on Earth, or its absolute magnitude, which is how bright it would appear if it were placed at a standard distance of 10 parsecs from Earth. Luminosity is an important property of stars, as it is related to their size, mass, and temperature, and can be used to classify them into different spectral classes.

These classes, which range from O to M, are based on the star's surface temperature and the elements present in its atmosphere. For example, hotter stars with a blue-white color are classified as O or B, while cooler, reddish stars are classified as K or M.

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For the curve defined by r(t) = (e-t, 2t, et) = find the unit tangent vector, unit normal vector, normal acceleration, and tangential acceleration at t T(t) = Ñ(t) = ат aN = 2.

Answers

The unit tangent vector T(t) for the curve defined by r(t) = (e², 2t, e) at t = 2 is \(\[T(2) = \left(\frac{e^2}{\sqrt{e^4 + 16 + e^2}}, 4, e\right)\]\). The unit normal vector N(t) for the curve at \(\[N(2) = \left(\frac{-2e^2}{\sqrt{4e^4 + 1}}, 1, 0\right)\]\).

The normal acceleration ar at \(\[ar(2) = \frac{\sqrt{4e^4 + 1}}{\sqrt{e^4 + 16 + e^2}}\]\). The tangential acceleration at t = 2 is aT(2) = 0 since the curve is defined as a straight line and has no curvature.

Determine how to find the tangent vector?

To find the unit tangent vector T(t), we take the derivative of the position vector r(t) with respect to t and normalize it by dividing by its magnitude. The derivative of \(\[T(t) = \frac{(e^2, 4, e)}{\sqrt{e^4 + 16 + e^2}}\]\).

To find the unit normal vector N(t), we differentiate T(t) with respect to t and normalize the resulting vector. The derivative of T(t) is (0, 0, 0), which means the curve is a straight line. Therefore, N(t) is constant and given by \(\[N(t) = \frac{(-2e^2, 1, 0)}{\sqrt{4e^4 + 1}}\]\).

The normal acceleration ar at t = 2 is the magnitude of the derivative of T(t) with respect to t, which simplifies to \(\[\frac{\sqrt{4e^4 + 1}}{\sqrt{e^4 + 16 + e^2}}\]\).

Since the curve is a straight line, there is no change in the direction of the velocity vector, and therefore, the tangential acceleration aT is zero.

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if the truck has a mass of 2000 kg what is the momentum (V=35 m/s) express your answer in kg Point m/s?​

Answers

Answer:

70 000 kg•m/s

Explanation:

You can find the momentum multiplying the velocity by the mass:

Momentum = 2000 • 35

Momentum = 70 000

Two cars, each having a mass of 1,000 kg are being tested at the Department of Highway Safety facility. Car A is moving at 30 m/s to the north. Car B is moving at 15 m/s to the south. When they collide, which of the following is true?

a- Car A applies a greater force on car B than car B applies on car A.

b- Car A applies a force on car B equal to the force car B applies on car A.

c- Car B applies a greater force on car A than car A applies on car B.

d-Car A and car B do not have the same velocity; you cannot compare the forces.

Answers

Two cars, each having a mass of 1,000 kg are being tested at the Department of Highway Safety facility. Car A is moving at 30 m/s to the north. Car B is moving at 15 m/s to the south. When they collide a- Car A applies a greater force on car B than car B applies on car A.

Momentum, product of the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both magnitude and direction. Isaac Newton's second law of motion states that the time rate of change of momentum is equal to the force acting on the particle.

When both the cars will collide , one with greater momentum will applies greater force .

As momentum is calculated  as mass multiplied by velocity , since both the car have same mass then the car with a greater velocity will exert more force on the other car .

since , car A has a velocity of 30 m/s and car B is moving with a velocity of 15 m/s , then car A will have greater momentum and will exert  a greater force on car B.

correct option will be

a- Car A applies a greater force on car B than car B applies on car A.

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Name one process that requires a force in the human body. Hint: the question is asking about something happening inside of the body like muscle contractions.

Answers

Answer:

Movement

Explanation:

At a given temperature, 3.00 m of carbon dioxide has a mass of 5.94 kg. What is the density of carbon dioxide at this temperature​

Answers

Answer:

1.98 kg/m

Explanation:

5.94 divided by 3.00

The following question is in the category of Physics under Light and SoundYour boss asks you to design a room to be as soundproof as possible and provides you with three samples of material. The only information on each samples label is the materials coefficient of absorption. The coefficient of absorption listed on sample A is 30%, on sample B is 47%, and on sample C is 62%. Which material would you recommend and why?A.) Sample C, because the percentage of the energy in an incident wave that remains in a reflected wave from this material is the largestB.) Sample C, because the percentage of the energy in an incident wave that remains in a reflected wave from this material is the smallestC.) Sample A, because the percentage of the energy in an incident wave that remains in a reflected wave from this material is the smallestD.) Sample A, because the percentage of the energy in an incident wave that remains in a reflected wave from this material is the largest

Answers

Given:

Three types of materials A, B, and C are there.

The coefficient of absorption of A is 30 %, B is 47 %, and C is 62 %.

To find:

Which material would you recommend and why?

Explanation:

Soundproofing is usually achieved by using materials that absorbed or reduce sounds. The coefficient of absorption of a material refers to that material's ability to absorb sound. The higher the percentage of a material absorption coefficient, the better the material's ability to absorb sound.

Hence, the material with a 62 % absorption coefficient that is Sample C has the greatest ability of the three materials to absorb sound effectively.

B) Sample C, because the percentage of the energy in an incident wave that remains in a reflected wave from this material is the smallest.

Answer:

Given:

Three types of materials A, B, and C are there.

The coefficient of absorption of A is 30 %, B is 47 %, and C is 62 %.

To find:

Which material would you recommend and why?

Explanation:

Soundproofing is usually achieved by using materials that absorbed or reduce sounds. The coefficient of absorption of a material refers to that material's ability to absorb sound. The higher the percentage of a material absorption coefficient, the better the material's ability to absorb sound.

Hence, the material with a 62 % absorption coefficient that is Sample C has the greatest ability of the three materials to absorb sound effectively.

B) Sample C, because the percentage of the energy in an incident wave that remains in a reflected wave from this material is the small

Kinetic energy is the energy of an object in motion. Potential energy is the energy associated with an object
that can do work even if it isn’t doing so yet.
True
False

Answers

True!!!!!!!!!!!!!!!!!!!!!!

A 1.5 kg baseball is pitched at 38 m/s and is hit by the batter. It heads directly back at the pitcher at 27 m/s.

a) Find the impulse applied to the ball.

b) If the bat is in contact with the bat for 0.45 sec, how much force was applied.

Show all your work.

Answers

Answer:

The initial velocity of the ball is +38.0 m/s. The final velocity is -27.0 m/s.  

momentum = mass x velocity

(mass x final velocity) – (mass x initial velocity)

(1.5)(-27) – (1.5)(38) = -97.5

The impulse applied to the ball is -97.5 kg m/s

impulse = force x time interval

force = impulse/time interval

-97.5/0.45 s = - 216.6  

The force applied was 216.6 N.

An infrared beam of light as a wavelength of 7.7 mm What is this energy

Answers

Answer:

E=2.58155844×10^-29

Explanation:

we use this formula

E= hc/ lambda

E= [(6.626×10^-34)( 3×10^8)]/(7.7×10^-3)

E=2.58155844×10^-29

How long will it take an object traveling at 7 m/s to reach a distance of 26 meters

Answers

Answer:

3 hours 71 minutes

Explanation:

As because Speed= distance/time taken

so time taken= 3.71

HELP me now what is the meaning of the word scalars and vectors​

Answers

Answer:

Scalars are quantities that are fully described by a magnitude (or numerical value) alone. Vectors are quantities that are fully described by both a magnitude and a direction.

Can someone help me solve this?

Can someone help me solve this?

Answers

Total distance taken by the ball until it reaches the ground is   41.2 m. The closest correct option is D.

h = (vi²)/2g

where h = height reached by the ball

vi = initial velocity

g = acceleration due to gravity

The maximum height reached by the ball, using the same equation

vi = 20 m/s and g = 9.81 m/s²

h = (20²)/2(9.81) = 20.3 m

The ball travels more than twice as far as it can go before touching the ground.

Total distance = 2h = 2(20.3) = 40.6 m

The closest answer is 41.2 m.

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you are driving your motorcycle in a circle of radius 31 m on wet pavement. what is the fastest you can go before you lose traction, assuming the coefficient of static friction is 0.20?express your answer in miles per hour.

Answers

When you are driving your motorcycle in a circle of radius 31 m on wet pavement,

the fastest you can go before you lose traction is given by the formula:

v = sqrt(rgμ)

where: r = radius of the circle, g = acceleration due to gravity, μ = coefficient of static friction and v = speed of the             motorcycle.

We can substitute the given values into the formula to get:

v = sqrt(31 * 9.8 * 0.20)

v = 7.672 m/s.

To convert to miles per hour, we multiply by 2.2369:

v = 7.672 m/s × 2.2369

  = 17.168 mph.

Therefore, the fastest you can go before you lose traction is 17.168 mph.

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You toss a tennis ball straight upward. At the moment it leaves your hand it is at a height of 1.5 m above the ground, and it is moving at a speed of 7.0 m/s.

(a) How much time does it take for the tennis ball to reach its maximum height? (s)

(b) What is the maximum height above the ground that the tennis ball reaches? (m)

(c) When the tennis ball is at a height of 2.4 m above the ground, what is its speed? (m/s)

Answers

a). 1.2 s

b). 3.81 m

c) v= 6.8 m/s

d) v= 27.05 m/s

What is speed?

Speed is define as the distance per unit time. It is also define as how fast an object is  moving.

According to the question:

Height = 1.5 m , speed = 7.0 m/s.

a)By using 1st equation of motion

\(V = V_{0} + g*t.\\V = 0 \\V_{0} = 7.0 m/s.g = -9.8 m/s^2\\0 = 7 + (-9.8 m/s^2)*t\\t = 1.2 s\)

b.

\(h = 1.5 + V_{0} *t + 0.5g*t^2\\V_{0} = 7.8 m/s\\t = 1.2s , g = -9.8 m/s^2\\h = 3.81 m\)

c.

\(V^2 = V_{0} ^2 + 2g*d\\V_{0} = 7.8 m/s\\g= -9.8 m/s^2.\\d= 2.2-1.5 = 0.7 m\\V = 6.8 m/s\)

d.

\(V^2 = V_{0} ^2 + 2g*h\\V_{0} = 0\\g = +9.8 m/s^2.\\h = 6.8 m\\V = 27.05 m/s\)

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Julietta and Jackson are playing miniature golf. Julietta's ball rolls into a long. Straight upward incline with a speed of 2.95 m/s and accelerates at -0.876 m/s/s for 1.54 seconds until it reaches the top of the incline and then continues along an elevated section. Determine the length of the incline.

Answers

Answer:

The length of the incline is 3.504 meters.

Explanation:

Let suppose that Julietta's ball decelerates uniformly, then we determine the length of the incline is determined by the following equation of motion:

\(\Delta s = v_{o}\cdot t +\frac{1}{2}\cdot a \cdot t^{2}\) (Eq. 1)

Where:

\(\Delta s\) - Length of the incline, measured in meters.

\(v_{o}\) - Initial speed of the ball, measured in meters per second.

\(a\) - Aceleration of the ball, measured in meters per square second.

\(t\) - Time, measured in second.

If we know that \(v_{o} = 2.95\,\frac{m}{s}\), \(t = 1.54\,s\) and \(a = -0.876\,\frac{m}{s^{2}}\), then the length of the incline is:

\(\Delta s = \left(2.95\,\frac{m}{s} \right)\cdot (1.54\,s)+\frac{1}{2}\cdot \left(-0.876\,\frac{m}{s^{2}} \right) \cdot (1.54\,s)^{2}\)

\(\Delta s = 3.504\,m\)

The length of the incline is 3.504 meters.

in what region of space is the potential due to a uniformly charged sphere the same as that of a point charge? in what region does it differ from that of a point charge?

Answers

The electric potential at a point due to the charged sphere will be equal to that due to the point charge if the radial distance of the point is greater than or equal to the radius of the charged sphere since the amounts of the charges are identical.

What is point charge ?

One of the essential components of matter is a point charge, such as an electron. Furthermore, circular charge distributions (such as those seen on a metal sphere; see image below) produce external electric fields in the same way that point charges do. Thus, a scenario that requires our attention is the electric potential caused by a point charge. It may be demonstrated that the electric potential V of a point charge is equal to the work required to transfer a test charge q from a great distance away to a distance of r from it using calculus and observing the relationship between work and potential (W=-qV).

The point charge formula is V=kQr, where k is a constant equal to 9.0109 Nm2/C2.

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Observa a tu alrededor y escribe el nombre de diez objetos que se encuentren en movimiento, Luego escribe el de otros diez que pienses que se encuentran en reposo. ¿Qué criterio tuviste en cuenta para considerar que están en reposo?

Answers

Answer:

Objetos que se encuentran en movimiento:

1) Un automóvil pasando por la calle.

2) Una crustácea que se acerca a mi casa.

3) Un avión volando en el cielo.

4) Un repartidor de comida desplazándose en una bicicleta.

5) Las aspas del ventilador en rotación.

6) Una hojarasca afuera de la casa.

7) La puerta de mi habitación abrirse.

8) Un mosquito entrando por la ventana.

9) Un metrónomo en movimiento.

10) Las hojas de mi cuaderno siendo agitadas por la brisa impulsada por el ventilador.

Objetos que se encuentran en reposo:

1) El semáforo de la esquina.

2) El automóvil de mi madre.

3) Las sillas del comedor.

4) Un jarrón de porcelana.

5) La nevera de la cocina.

6) La mesa de noche de mi habitación.

7) El automóvil de policía en la calle.

8) La impresora de memes.

9) El estante de libros.

10) El cesto de galletas.

Un objeto está en reposo si y solo si la posición de todos sus puntos no ha cambiado con respecto a la posición inicial en el tiempo. Los cambios de posición se manifiestan mediante tres formas:

(i) Traslación.

(ii) Rotación.

(iii) Deformación.

Explanation:

Objetos que se encuentran en movimiento:

1) Un automóvil pasando por la calle.

2) Una crustácea que se acerca a mi casa.

3) Un avión volando en el cielo.

4) Un repartidor de comida desplazándose en una bicicleta.

5) Las aspas del ventilador en rotación.

6) Una hojarasca afuera de la casa.

7) La puerta de mi habitación abrirse.

8) Un mosquito entrando por la ventana.

9) Un metrónomo en movimiento.

10) Las hojas de mi cuaderno siendo agitadas por la brisa impulsada por el ventilador.

Objetos que se encuentran en reposo:

1) El semáforo de la esquina.

2) El automóvil de mi madre.

3) Las sillas del comedor.

4) Un jarrón de porcelana.

5) La nevera de la cocina.

6) La mesa de noche de mi habitación.

7) El automóvil de policía en la calle.

8) La impresora de memes.

9) El estante de libros.

10) El cesto de galletas.

Un objeto está en reposo si y solo si la posición de todos sus puntos no ha cambiado con respecto a la posición inicial en el tiempo. Los cambios de posición se manifiestan mediante tres formas:

(i) Traslación.

(ii) Rotación.

(iii) Deformación.

Can the sun explain global warming? ( 2 points) Suppose that the Earth has warmed up by 1 K in the last hundred years. i) How much would the solar constant have to increase to explain this? ii) Compare this to the observed fluctuation of the solar constant over the past 400 years (shown in class) For part (i), begin with the standard 'blackbody' calculation from class, that is: set α=0.30, and assume that the Earth acts as a blackbody in the infrared.

Answers

No, the sun cannot explain global warming. Global warming is a phenomenon in which the temperature of the Earth's surface and atmosphere is rising continuously due to human activities such as deforestation, burning of fossil fuels, and industrialization.

This increase in temperature cannot be explained only by an increase in solar radiation.There are several factors which contribute to global warming, including greenhouse gases such as carbon dioxide, methane, and water vapor. These gases trap heat in the Earth's atmosphere, which causes the planet's temperature to rise. The sun's radiation does contribute to global warming, but it is not the main cause.

i) To calculate the increase in solar radiation that would cause the Earth to warm up by 1 K, we can use the following formula:ΔS = ΔT / αWhere ΔS is the increase in solar constant, ΔT is the increase in temperature, and α is the Earth's albedo (reflectivity).α = 0.30 is the standard value used for the Earth's albedo.ΔS = ΔT / αΔS = 1 K / 0.30ΔS = 3.33 W/m2So, to explain the increase in temperature of 1 K over the last hundred years, the solar constant would need to increase by 3.33 W/m2.

ii) The observed fluctuation of the solar constant over the past 400 years has been around 0.1% to 0.2%. This is much smaller than the 3.33 W/m2 required to explain the increase in temperature of 1 K over the last hundred years. Therefore, it is unlikely that the sun is the main cause of global warming.

The sun cannot explain global warming. While the sun's radiation does contribute to global warming, it is not the main cause. The main cause of global warming is human activities, particularly the burning of fossil fuels, which release large amounts of greenhouse gases into the atmosphere.

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A girl rides her cycle round a circular track of diameter 60 m. The track is banked at 15 ∘
to the horizontal. The coefficient of friction between the track and the tyres of the cycle is 0.25. Modelling the girl and her cycle as a particle of mass 60 kg moving in a horizontal circle, find the minimum speed at which she can travel without slipping.

Answers

A girl rides her cycle round a circular track of diameter 60 m. The track is banked at 15° to the horizontal. The coefficient of friction between the track and the tyres of the cycle is 0.25. Modelling the girl and her cycle as a particle of mass 60 kg moving in a horizontal circle, the minimum speed at which she can travel without slipping is 13.64 m/s.

To find the minimum speed at which the girl can travel without slipping, we need to consider the forces acting on her and her cycle as they move in a circular track.

The forces acting on the girl and her cycle are the gravitational force (mg), the normal force (N), and the frictional force (f). The frictional force provides the centripetal force necessary to keep the girl moving in a circular path.

The normal force can be resolved into two components: the vertical component (N⊥) and the horizontal component (N∥). The vertical component balances the gravitational force, while the horizontal component provides the centripetal force.

Mass of the girl and cycle (m) = 60 kg

Diameter of the circular track (d) = 60 m

Bank angle (θ) = 15 degrees

Coefficient of friction (μ) = 0.25

Find the normal force components:

N⊥ = mg cos(θ)

N∥ = mg sin(θ)

The frictional force:

f = μN⊥

The frictional force (f) provides the centripetal force required for circular motion:

f = m(v² / r)

Here, v is the velocity and r is the radius of the circular track. The radius is:

r = d / 2

Combining the equations, we have:

μN⊥ = m(v² / r)

Substituting the values we have:

μmg cos(θ) = m(v² / (d / 2))

v² = (μmg cos(θ) / m) * (d / 2)

v² = (μg cos(θ)) * (d / 2)

v = √((μg cos(θ)) * (d / 2))

v = √((0.25 * 9.8 * cos(15)) * (60 / 2))

v ≈ 13.64 m/s

Therefore, the minimum speed at which the girl can travel without slipping is approximately 13.64 m/s.

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Suppose a free-fall ride at an amusement park starts at rest and Is In free fall.
a. What is the velocity of the ride after 2.3 s?
m/s
b. How far do people on the ride fall during the 2.3-s time period?
m

Answers

Answer: 22.54 m/s and 25.921 meters

Explanation:

hey dog have you ever heard of these cool equations..

\(v=v_{o} + at\)

dude what DOES THIS MEAN??? ok ill tell you. velocity equals initial velocity plus acceleration times time.    uhh... interesting.... hmm...

lets do some substitution...

we know that a means acceleration and gravity is a type of acceleration. ok?

\(v = 0 + (9.8)(2.3)\)

remember I PUT THE ZERO THERE BECAUSE IT STARTED AT REST

22.54 is the velocity

now for b. look at THIS COOL NEW EQUATION

\(delta Y = \frac{1}{2}at^{2} + v_{o}t\)

ok so i put delta Y but it can also be delta X it just means displacement... i put delta Y because these kids are falling straight down in a rollercoaster like space mountain or something... ok lets do some replacing am i right?...

\(\frac{1}{2}(9.8)(2.3^{2}) + 0(2.3)\)

LISTEN! forget about the zero times 2.3 its just gonna be zero anyways.

so lets calculate... and we get 25.921 meters (or if you want to round to 2 sig figs then its 26 meters)

have a swag day

a green laser pointer emits light with a wavelength of 532 nm . what is the frequency of this light?

Answers

The light frequncy of the green laser pointer, which is identified as green light, with the given wavelength is 5,639 × 10^14 hz

The question you asked about is related to light frequency. The frequency is the number of waves that go through a given place in space in a given amount of time, typically one second.

In this case, frequency (f) and wavelength (λ) are combined in the equation fλ=c , where c is the speed of light: 3 × 10^8 m/s. Then, the equation to find frequency (f) is f=c/λ

Given wavelength is 532 nm = 5,32 × 10^-7 m and speed of light is 3 × 10^8 m/s. As a result:

f=c/λ

f=(3 × 10^8 m/s) / (5,32 × 10^-7 m)

f= 5,639 × 10^14 hz

As a result, the frequency of this light is 5,639 × 10^14 hz

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