what type of observation can astronomers use to measure the composition of extrasolar planet atmospheres?

Answers

Answer 1

The type of observation that astronomers can use to measure the composition of extrasolar planet atmospheres : comparisons of a star's spectrum when planet is in transit versus when it is eclipsed.

What are extrasolar planets?

Several planets outside the Solar System called exoplanets have been observed to have atmospheres. At the present , most atmosphere detections are of hot Jupiter or Neptune that orbit very close to their star and therefore have heated and extended atmospheres.

As a transiting extrasolar planet passes in front of its host star, one can observe the exoplanet's atmosphere as it is backlit by the star. Additional atmospheric observations can also be made by watching as exoplanet disappears and reappears from behind the star.

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Related Questions

A solid ball of inertia m rolls without slipping down a ramp that makes an angle θ with the horizontal. What frictional force is exerted on the ball?

Answers

The frictional force exerted on the ball is given by the equation f = m g sin θ - m a.

When a solid ball of inertia m rolls without slipping down a ramp that makes an angle θ with the horizontal, the frictional force exerted on the ball can be determined by the following steps:

Step 1: Determine the forces acting on the ball:Gravity: m g

Force perpendicular to the surface: m g cos θ

Force parallel to the surface: m g sin θ

Step 2: Determine the net force acting on the ball:

The net force acting on the ball is equal to the force parallel to the surface minus the force of friction acting on the ball:

Net force = m g sin θ - f

Step 3: Determine the acceleration of the ball:

The acceleration of the ball is equal to the net force acting on the ball divided by the mass of the ball:

a = (m g sin θ - f) / m

Step 4: Determine the frictional force:

The frictional force can be determined by substituting the value of acceleration in the equation:

f = m g sin θ - m a

Therefore, the frictional force exerted on the ball is given by the equation f = m g sin θ - m a.

Explanation:The ball rolling down a ramp experiences a force that pulls it down called the force of gravity (Fg). This force is directed straight downwards, towards the center of the Earth.

There are two components of this force: a component that is perpendicular to the ramp (Fgcosθ) and a component that is parallel to the ramp (Fgsinθ).

The force of friction acting on the ball opposes the force that is parallel to the surface. When the ball is rolling without slipping, the force of friction is static and the frictional force is given by the equation f = m g sin θ - m a.

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A student is creating a table with properties of electromagnetic and mechanical waves.

A student is creating a table with properties of electromagnetic and mechanical waves.

Answers

Answer:

The property of the wave marked X is related to the source of the wave

Explanation:

The source of of origin of waves

Electromagnetic wave are waves that consists of varying electric and magnetic field that vibrate perpendicular to each other and to the direction of propagation of the wave and they are therefore transverse waves and transfer energy

Electromagnetic waves originate from the vibration of charged particles that gives off varying electric and magnetic fields

Mechanical waves are defined as waves that require a material medium such as air, water, metal, plastic, stretched leather, or wood to propagate

Mechanical waves originate from vibration of the particles of a medium

Sound waves which is a form of longitudinal mechanical waves that propagates by the vibration of the particles of a given medium about a point parallel to the direction of propagation of the wave.

A potential difference is set up between the plates of a parallel plate capacitor by a battery and then the battery is removed. If the distance between the plates is decreased, then how the (a) charge (b) potential difference (c) electric field (d) energy and (e) energy density will change

Answers

When the battery is removed

(a) Charge remains constant

(b) Potential difference increases

(c) Electric field increases

(d) Energy remains constant

(e) Energy density increases

When the battery is removed, the charge on the plates remains constant since there is no path for the charge to flow. As the distance between the plates is decreased, the electric field between the plates increases since the charge density on the plates remains constant.

This leads to an increase in the potential difference between the plates since the potential difference is proportional to the electric field times the distance. However, the energy stored in the capacitor remains constant since it depends on the charge and potential difference, both of which remain constant.

As the distance between the plates decreases, the energy density (energy per unit volume) of the electric field increases since the volume between the plates decreases while the energy remains constant.

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A whale swims at a constant speed of 8 m/s for 17 s. What distance did the whale travel in km?

Answers

Answer:

0.136 km

Explanation:

whale speed = 8 m/s for 17 sec.

find distance traveled in km

distance = velocity x time

              = 8 m/sec. x 17 sec.

              = 136 meters  x        1   km      

                                           1000 meters

              =  0.136 km

   

The human ear canal is about 2.6 cm long and can be regarded as a tube open at one end and closed at the eardrum. What is the fundamental frequency around which we would expect hearing to be most sensitive? Assume the speed of sound in air to be 338 m/s. Answer in units of kHz

The human ear canal is about 2.6 cm long and can be regarded as a tube open at one end and closed at

Answers

6.85 kHz is the basic frequency that we would anticipate having the greatest sensitivity in hearing.

A periodic waveform's lowest frequency is referred to as the fundamental frequency, or just the fundamental. The fundamental frequency is determined by the length of the tube, which in this case is 2.6 cm. The equation for the fundamental frequency of a tube open at one end and closed at the other is  \(f=\frac{v}{2L}\),

where L is the tube's length and v is the sound-traveling speed in air. In this situation

we have

 \(f=\frac{338 m/s}{2(0.026 m)}\\\\f = 6.85 kHz.\)

Consequently, we would anticipate that hearing would be most sensitive around the fundamental frequency of 6.85 kHz.

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a skier starts from rest and skis down a 82 meter tall hill labeled h1, into a valley and staught back up another 35 meter hill(labled h2). How fast in m/s is she going at the top of the 35 meter hill? Assume no friction

Answers

Answer:

She is going at 30.4 m/s at the top of the 35-meter hill.    

Explanation:

We can find the velocity of the skier by energy conservation:

\( E_{1} = E_{2} \)

On the top of the hill 1 (h₁), she has only potential energy since she starts from rest. Now, on the top of the hill 2 (h₂), she has potential energy and kinetic energy.

\( mgh_{1} = mgh_{2} + \frac{1}{2}mv_{2}^{2} \)    (1)

Where:

m: is the mass of the skier

h₁: is the height 1 = 82 m

h₂: is the height 2 = 35 m

g: is the acceleration due to gravity = 9.81 m/s²  

v₂: is the speed of the skier at the top of h₂ =?

Now, by solving equation (1) for v₂ we have:

\( v_{2}^{2} = \frac{2mg(h_{1} - h_{2})}{m} \)  

\( v_{2} = \sqrt{2g(h_{1} - h_{2})} = \sqrt{2*9.81 m/s^{2}*(82 m - 35 m)} = 30.4 m/s \)    

Therefore, she is going at 30.4 m/s at the top of the 35-meter hill.

I hope it helps you!  

A system consists of two identical small balls of mass 2 kg each connected to the two ends of a 1 m long light rod. The system is rotating about a fixed axis through the centre of the rod and perpendicular to it at angular speed of 9 rad/s. An impulsive force of average magnitude 10 N acts on one of the masses in the direction of its velocity for 0.20 s. Calculate the new angular velocity of the system.

Answers

To solve this problem, we can use the principle of conservation of angular momentum. Initially, the system is rotating with an angular speed of 9 rad/s. Let's denote this initial angular momentum as L_initial.

L_initial = I_initial * ω_initial,

where I_initial is the initial moment of inertia of the system and ω_initial is the initial angular velocity.

Since the two balls are identical and connected to the ends of a rod, the moment of inertia of each ball about the axis of rotation is given by the parallel axis theorem:

I_ball = (1/12) * m * (2 * r)^2,

where m is the mass of each ball and r is the distance from the axis of rotation to the center of the ball. In this case, r is half the length of the rod, so r = 0.5 m.

Substituting the values, we find:

I_ball = (1/12) * 2 kg * (2 * 0.5 m)^2 = 0.1667 kg·m².

The total initial moment of inertia of the system is given by:

I_initial = 2 * I_ball = 2 * 0.1667 kg·m² = 0.3334 kg·m².

The initial angular momentum of the system is:

L_initial = I_initial * ω_initial = 0.3334 kg·m² * 9 rad/s = 3 kg·m²/s.

During the impulsive force, the torque acting on the system is given by:

τ = ΔL / Δt,

where ΔL is the change in angular momentum and Δt is the time interval during which the force acts. The force acts only on one of the masses, so ΔL is the change in angular momentum of that mass.

The change in angular momentum of one mass is equal to the impulse applied to it, which is the average force multiplied by the duration of the force:

ΔL = F_avg * Δt.

Substituting the values, we find:

ΔL = 10 N * 0.20 s = 2 N·s.

ΔL_system = 2 * ΔL = 2 * 2 N·s = 4 N·s.

L_final = L_initial + ΔL_system.

Since the masses are connected to the ends of a rigid rod, the final moment of inertia of the system remains the same as the initial moment of inertia:

I_final = I_initial = 0.3334 kg·m².

Therefore, we can solve for ω_final:

ω_final = L_final / I_final = 7 kg·m²/s / 0.3334 kg·m² = 21 rad/s.

Thus, the new angular velocity of the system after the impulsive force is 21 rad/s.

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Hey!!
I need help in a question...

• Different types of fuels and the amount of pollutants they release.

Please help me with the question.
Thankss​

Answers

Answer: Different types of fuels have varying compositions and release different amounts of pollutants when burned. Here are some common types of fuels and the pollutants associated with them:

Fossil Fuels:

a. Coal: When burned, coal releases pollutants such as carbon dioxide (CO2), sulfur dioxide (SO2), nitrogen oxides (NOx), and particulate matter (PM).

b. Petroleum (Oil): Burning petroleum-based fuels like gasoline and diesel produces CO2, SO2, NOx, volatile organic compounds (VOCs), and PM.

Natural Gas:

Natural gas, which primarily consists of methane (CH4), is considered a cleaner-burning fuel compared to coal and oil. It releases lower amounts of CO2, SO2, NOx, VOCs, and PM.

Biofuels:

Biofuels are derived from renewable sources such as plants and agricultural waste. Their environmental impact depends on the specific type of biofuel. For example:

a. Ethanol: Produced from crops like corn or sugarcane, burning ethanol emits CO2 but generally releases fewer pollutants than fossil fuels.

b. Biodiesel: Made from vegetable oils or animal fats, biodiesel produces lower levels of CO2, SO2, and PM compared to petroleum-based diesel.

Renewable Energy Sources:

Renewable energy sources like solar, wind, and hydropower do not produce pollutants during electricity generation. However, the manufacturing, installation, and maintenance of renewable energy infrastructure can have environmental impacts.

It's important to note that the environmental impact of a fuel also depends on factors such as combustion technology, fuel efficiency, and emission control measures. Additionally, advancements in clean technologies and the use of emission controls can help mitigate the environmental impact of burning fuels.

What is the use of intrinsic attributes?

Answers

Intrinsic attributes refer to the inherent characteristics or qualities of an object, concept, or entity. These attributes are essential in defining and understanding the nature of something.

The use of intrinsic attributes can vary depending on the context, but here are a few common applications:

1. Classification and categorization: Intrinsic attributes help in categorizing and classifying objects or entities based on their inherent properties. For example, in a product catalog, intrinsic attributes such as size, color, and material are used to classify items into different categories.

2. Descriptive analysis: Intrinsic attributes analyze and describe objects by detailing their characteristics and features. Product reviews use attributes like performance, durability, and design for comprehensive evaluations.

3. Search and retrieval: Intrinsic attributes aid information retrieval by enabling efficient search and filtering. Attributes like author, title, and genre in a book database facilitate specific book searches.

4. Decision making: Intrinsic attributes are often used as factors in decision-making processes. By considering the intrinsic attributes of various options, individuals or systems can make informed choices. For example, when purchasing a car, attributes such as fuel efficiency, safety features, and price are considered to make a decision.

5. Personalization and customization: Intrinsic attributes personalize experiences by tailoring offerings to individual preferences. E-commerce websites utilize attributes like purchase history and preferences for personalized recommendations. Customization based on intrinsic attributes enhances user satisfaction and engagement.

Overall, the use of intrinsic attributes helps in understanding, organizing, and making informed decisions about objects, concepts, or entities by considering their inherent qualities and characteristics.

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twenty-two-year-old Tawana is slightly overweight and loves to eat, particaulary snack foods and rich desearts. Fearful of gaining more wieght, she frequently takes lazatives andvomits following episodes of binge eating. Tawanan most clearly suffers form what

Answers

Tawana most clearly suffers from an eating disorder called bulimia nervosa.

Bulimia nervosa is characterized by recurrent episodes of binge eating, which involve consuming a large amount of food within a short period while feeling a loss of control over eating. Following these episodes, individuals with bulimia often engage in compensatory behaviors to prevent weight gain, such as self-induced vomiting, excessive exercise, or misuse of laxatives or diuretics.

In Tawana's case, her frequent use of laxatives and vomiting after binge eating episodes indicates a pattern consistent with bulimia nervosa. Additionally, her concern about weight gain and her preference for snack foods and rich desserts further support this diagnosis. It's important for Tawana to seek professional help, as bulimia nervosa can have severe physical and psychological consequences if left untreated.

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A point charge of +10 μC is at (+3 m, 0 m) on the x-axis and a point charge of +10 μC is at (-3 m, 0 m).
1) Determine the work required to assemble this charge distribution.

Answers

Hi there!

Recall the equation for electric potential energy for point charges:
\(\boxed{U = \frac{1}{4\pi \epsilon_0} \frac{q_1q_2}{r}}\)

U = Electric potential energy (J)

ε₀ = Permittivity of Free Space (8.85 × 10⁻¹² C/Vm)

q₁, q₂: Charges (C)
r = distance between charges (m)

Solving for r:
3 - (-3) = 6m

Now, plug in the values:

\(U = \frac{1}{4\pi \epsilon_0} \frac{(.00001)(.00001)}{6} = \boxed{1.498 J}\)

Drag each label to the correct location on the chart.
Sort the statements based on whether the described outcomes result from thermal energy being added or being removed.
Particles move faster.

Particles move slower.

Temperature increases.

Temperature decreases.

Kinetic energy increases.

Kinetic energy decreases.

those are the options

Answers

The outcomes based on whether thermal energy is added or being removed are:

Thermal energy added :

Particles move fasterTemperature increasesKinetic energy increases

Thermal energy being removed :

Particles move slower.Temperature decreases.Kinetic energy decreases

How does thermal energy affect particles, temperature and kinetic energy ?

When thermal energy is added to a substance, the particles absorb this energy and start moving faster, which means their kinetic energy increases. This leads to an increase in temperature because the faster-moving particles collide with each other more frequently, transferring this extra energy in the form of heat.

Therefore, an increase in temperature and an increase in the kinetic energy of particles result from thermal energy being added, while a decrease in temperature and a decrease in the kinetic energy of particles result from thermal energy being removed.

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Four materials have the same initial temperature and mass, if all the four materials absorbed 5000 Joules of heat which material has the highest temperature?
Glass


Copper


Lead


Gold

Answers

Answer:

reaches a higher temperature is LEAD.

Explanation:

In this exercise we have a calorimeter problem, in which the initial energy is absorbed by each body

       E₀ = m c_e ΔT

where E₀ = 5000 J

       ΔT = \(\frac{E_o}{m \ c_e}\)

the specific heats for each material are tabulated

      material   c_e (J / kg ºC)

     glass           837

     copper       387

     lead            128

     gold            129

As they indicate that the mass of the materials is the same, the one with the greatest temperature difference is the one with the least specific heat, consequently the one that reaches a higher temperature is LEAD.

let's calculate for a mass of 1 kg

glass

       ΔT = 5000/(1 837)

       ΔT = 6ºC

Lead

       ΔT = 5000/(1 128)

       ΔT = 39.1º

GOLD

       ΔT = 5000/(1 129)

       ΔT = 38.8º C

in which of the following types of galaxies would you expect to find active star formation

Answers

The correct answer is: b. elliptical , Elliptical galaxies are typically characterized by older populations of stars and have very little ongoing star formation.

They consist of mostly old, red stars and lack the active star-forming regions commonly found in spiral and irregular galaxies. Elliptical galaxies are often considered "dead" or in a quiescent state, where the majority of their stellar formation occurred in the distant past. On the other hand, spiral and irregular galaxies are known for their active star formation regions, where new stars continue to be born. Barred spiral galaxies, which have a central bar structure, can also exhibit active star formation in their spiral arms.

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Full Question ;

User

In which of the following galaxy types would you never expect to observe active star formation?

a. spiral

b. elliptical

c. irregular

d. barred spiral

Electric current is a flow of electric __________. What one word completes the sentence?

Answers

Answer:charge

Explanation:

So the electric current is a flow of electric charge

A plane flies 1562km from Pittsburg to Orlando. After a brief layover, the plane flies 753km from Orlando to Charlotte. What's the plane's displacement in meters?

Answers

The displacement of the plane is equal to 809 Km.

What is displacement?

The displacement can be defined as the shortest distance between two points on the path. The displacement is a vector parameter because it has both direction and magnitude. The displacement may be positive, negative, or zero as well as can change with time.

Consider that A is Pittsburg, B is Charlotte and C is Orlando as shown below:

A------------------B---------------C

Given, the distance between Pittsburg to Orlando, AC = 1562 Km

The distance  from Orlando to Charlotte, BC = 753 Km

Displacement is the distance between the starting point (Pittsburg) and the ending point (Charlotte).

Displacement of the plane, AB = AC - BC = 1562 - 753 = 809 Km

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help please.
How many days occur between a new moon and a first quarter moon?

Answers

Answer:

7 days or a week

Explanation:

How is the formula for the stiffness of a spring determined?

Answers

F = -kx. The proportional constant k is also known as the "spring constant. "It measures the spring's rigidity. any time a spring is compressed or extended.

What is the spring's stiffness?

The "spring constant," denoted by the letter "k," is a figure that effectively indicates how "stiff" a spring is. A significant value of k indicates that more power is needed to extend it a given distance than would be necessary to stretch a less stiff spring the same distance.

Is the stiffness equivalent to the spring constant?

The spring constant, or k, is used to calculate spring stiffness.. For various springs and materials, it varies. Stretching a spring is more difficult the stiffer it is and the higher its spring constant.

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A ball is dropped from rest from a height of 12 m above the ground. How long will that
ball take to reach the ground?

Answers

Answer:

1.56 s

Explanation:

d = 1/2 a t^2      d = distance = 12 m    a = 9.81 m/s^2

12 = 1/2 ( 9.81) t^2     shows t = 1.56 s

EOC сD10 * *TuesesUsing this graph can you tell me when the vehicle is decelerating the most

EOC D10 * *TuesesUsing this graph can you tell me when the vehicle is decelerating the most

Answers

Take into account that the relation between speed and time can be written as follow:

\(v=v_o+at\)

where a is the acceleration of the motion. Furthermore, in a graph, acceleration a is the slope of the line. If the slope is positive, the vehicle accelerates, if the slope is negative, the vehicle decelerates.

Then, based on the given graph, you can notice that between points B and C, you have the greater negative slope. Then, on this interval the vehicle is decelerating the most.

What makes a ship float​

Answers

Answer:

Ships can float because a ship is less dense than that of the water that it floats on.

Explanation:

Hope this helps!

True or False
1. Conduction occurs only when molecules are in contact with each other.
2. Fast moving particles will take heat from slow moving particles.
3. Energy is carried in waves during conduction.
4. Conduction can transfer heat through space.
5. Warmer particles will give heat to cool particles.
6. During conduction, the movement of the molecules is important.
7. Light is a form of conduction heat transfer.
8. A carrier is needed for conduction to occur - something must carry the heat.
9. Fast moving particles will speed up slow moving particles.

Answers

#1

True

#2

No it happens opposite as heat transfers from high to low

False

#3

True

#4

No it can't be happened in vaccum

False

#5

True(Stated in no 2)

#6

True

Faster the movement faster the heat transfer

#7

Light particles get transferred from low to high (sun light)

True

#8

True

#9

False

5. You are running at your maximum speed of 6m/s to catch a bus which is
standing at the bus stop. The bus move off with an acceleration of 1m/s when
you are 20 m from it.
A. Can you catch the bus?
B. Show graphically.​

Answers

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The conditions for a ticking time bomb scenario include:

Answers

The conditions for a ticking time bomb scenario may vary, but typically involve a time-sensitive situation where there is a risk of imminent danger or harm if certain actions are not taken within a specific timeframe.

This could involve factors such as the presence of explosives or other hazardous materials, a specific location or target, a perpetrator with a clear motive or intention, and limited resources or options for resolving the situation. Ultimately, the key factor in a ticking time bomb scenario is the urgency and pressure to act quickly and decisively in order to prevent a catastrophic outcome.


The conditions for a ticking time bomb scenario include a high-pressure situation with a limited time frame, impending danger or threat, and crucial decisions that must be made to prevent potential catastrophic consequences.

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To warm up for a match, a tennis player hits the 57.0 g57.0 ball vertically with her racket. If the ball is stationary just before it is hit and goes 5.50 m5.50 high, what impulse did she impart to it?

Answers

To calculate the impulse imparted by the tennis player to the ball, we need to use the equation for impulse, which is Impulse = Force x Time. In this case, we can assume that the force applied by the racket on the ball is constant and that the time of contact between the ball and the racket is very small, so we can simplify the equation to Impulse = Change in Momentum.

Since the ball is stationary just before it is hit, its initial momentum is zero. After it is hit and goes 5.50 m high, its final momentum is mv, where m is the mass of the ball (57.0 g) and v is its velocity just after being hit. We can assume that the ball is moving vertically, so its vertical velocity just after being hit is given by v = sqrt(2gh), where g is the acceleration due to gravity (9.81 m/s^2) and h is the height reached by the ball (5.50 m).

Plugging in the values, we get v = sqrt(2 x 9.81 x 5.50) = 11.93 m/s. Therefore, the final momentum of the ball is mv = 0.057 x 11.93 = 0.682 kg m/s.

Since the initial momentum is zero, the change in momentum is simply the final momentum, so the impulse imparted by the tennis player to the ball is also 0.682 kg m/s.

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Which best illustrates the way in which radiation transfers thermal energy?
Brainliest to first correct answer !!!

Answers

The best illustration of the way in which radiation transfers thermal energy is the transfer of heat from the sun to the Earth. This is an example of radiation transfer, as the sun emits energy in the form of electromagnetic radiation, which is then absorbed by the Earth's atmosphere and surface.

A car is traveling at 15kph and speeds up to 30kph in 5 seconds. What is its acceleration? Converted to m/s 2

Answers

Answer:

a=0.84m/s²

Explanation:

a=v-u/t

where a=acelleration of the car,u=initial velocity,v=final velocity, t=time taken

a=?,u=15km/h,v=30km/h,t=5s

velocity is in m/s and we were given in km/h so we convert

or we say

v-u=30-15=15km/h

(v-u)=15×1000/3600=4.2m/s

a=v-u/t

a=4.2/5

a=0.84m/s²

Kyle, a 90.0 kg
football player, leaps straight up into the air (with no horizontal velocity) to catch a pass. He catches the 0.430 kg
ball precisely at the peak of his jump, when he is 0.589 meters
off the ground. He hits the ground 0.0396 meters
away from where he leapt. If the ball was moving horizontally when it was caught, how fast was the ball traveling?

Answers

As Kyle caught the ball, it was moving horizontally at a speed of roughly 0.116 m/s.

What is the formula for momentum change?

Momentum, which is the outcome of an object's mass and velocity, is used to represent mass in motion. An impulse is a force that is used to alter an object's velocity. The impulse, J, and the change in momentum of an object, p=m(vfvi), are equivalent.

mgh = (90.0 kg)(9.81 m/s²)(0.589 m) = 520.6 J

Therefore, Kyle's velocity just as he catches the ball is:

√{1}{2}mv² = 520.6 J implies v = √{2(520.6 J)}{90.0 kg} approx 10.4 m/s

Now, we can use Kyle's velocity and the horizontal distance he traveled to find the time he was in the air. The time is given by:

Delta x = vt implies t = {Delta x}{v} = {0.0396 m}{10.4 m/s} approx 0.0038 s

h = {1}{2}gt² implies t = √{2h}{g} = √{2(0.589 m)}{9.81 m/s²} approx 0.341 s

During this time, the ball traveled a horizontal distance of:

Delta x = vt = (v_{x,ball})(t) implies v_{x,ball} = {Delta x}{t} = {0.0396 m}{0.341 s} approx 0.116 m/s

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a tug-of-war that results in one team pulling the other across the line is an example of

Answers

A tug-of-war that results in one team pulling the other across the line is an example of reaction force.

What is reaction force?

A reaction force  can be described as the consequence of an action force which is opposite in direction.

It should be noted that the  Newton's third law of motion is the one that deals with these two forces, which  can be considered as the action and reaction forces however the Newton's third law made us to understand that for every action, there is an equal and opposite reaction, hence the case above can be seen as an example of reaction force.

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If 1000 droplets of water of surface tension 0. 07N/m,having same radius 1mm each,combine to form a single drop. In the process the released surface energy is

Answers

Surface energy released when 1000 droplets of water of surface tension 0.07 N/m, each with a radius of 1 mm, combine to form a single drop is approximately \(8.82 * 10^-7 J.\)

When the 1000 droplets of water combine to form a single drop, the surface area of the resulting drop decreases. As a result, the surface energy of the drop decreases because the surface tension of water is a measure of the energy required to increase the surface area of the water.

The surface area of the combined droplets can be calculated using the formula for the surface area of a sphere:

A = \(4pi*r^2\)

where A is the surface area, and r is the radius of the individual droplets.

Substituting the known value of the radius, we get:

A =\(4pi*(0.001 m)^2\)

A ≈ \(1.26 * 10^-5 m^2\)

The surface energy of the combined droplets can be calculated using the formula:

E = σA

where E is the surface energy, and σ is the surface tension of water.

Substituting the known values, we get:

E = \((0.07 N/m) * (1.26 * 10^-5 m^2)\)

E ≈\(8.82 * 10^-7 J\)

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