Consider light reflecting off of a mirror. Now think about light reflecting off of a solid yellow vase. Type a paragraph that compares and contrasts the interactions of each light wave with each material.

a) Tina drives approximately 69.93 meters before passing David.

b) Her speed as she passes him is approximately 34.77 m/s.

To find the distance Tina drives before passing David, we can use the equation:

\(\[d = ut + \frac{1}{2}at^2\]\)

where:

d is the distance traveled,

u is the initial velocity (0 m/s for Tina),

a is the acceleration (2.90 m/s² for Tina), and

t is the time.

First, we need to determine the time it takes for Tina to catch up with David. Since David is driving at a constant speed of 31.0 m/s, the time Tina needs to catch up can be found using the equation:

\(\[t = \frac{d}{v}\]\)

where:

\(\(t\)\)  is the time,

\(\(d\) \\\) is the initial distance between Tina and David (0 m), and

v  is the relative velocity of Tina with respect to David (31.0 m/s).

Substituting the values, we find:

\(\[t = \frac{0\,m}{31.0\,m/s} = 0\,s\]\)

Since Tina begins to accelerate at the instant when David passes, she starts from rest and requires no time to catch up.

a) Using the equation for distance, we find:

\(\[d = ut + \frac{1}{2}at^2 = 0 + \frac{1}{2}(2.90\,m/s²)(0\,s)^2 = 0\,m\]\)

Therefore, Tina does not drive any distance before passing David.

b) Since Tina catches up with David at the same instant he passes, her speed is equal to his speed. Thus, her speed as she passes him is approximately 31.0 m/s.

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Tina drives approximately 158.2 meters before passing David. Tina's speed as she passes David is 31.0 m/s.

To find the distance Tina drives before passing David, we need to determine the time it takes for Tina to catch up with David first. We can use the equation:

d = v0t + 0.5at2

Where d is the distance, v0 is the initial velocity, a is the acceleration, and t is the time. Rearranging the equation to solve for t:

t = (v - v0) / a

Substituting the given values:

t = (0 - 31.0 m/s) / (-2.90 m/s²)

t ≈ 10.69 seconds

To find the distance:

d = v0t + 0.5at2

d = 0 + 0.5(-2.90 m/s²)(10.69 s)2

d ≈ 158.2 meters

Therefore, Tina drives approximately 158.2 meters before passing David.

To find Tina's speed as she passes David, we can use the equation:

v = v0 + at

Substituting the given values:

v = 0 m/s + (2.90 m/s²)(10.69 s)

v ≈ 31.0 m/s

Therefore, Tina's speed as she passes David is 31.0 m/s.

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Answer:

The speed of light is a constant, but it can accelerate by changing direction. For instance, light accelerates under the influence of gravity like every other falling object. Reflection is not a very meaningful form of acceleration since the Δt≈0, but it certainly a change in velocity.

The probability that exactly 5 customers will buy the oversize racquet is 0.041, 0.185, 0.360, 0.304 and 0.171.

In this case, we have two possible outcomes (midsize and oversize versions) with a probability of 77% for the oversize version. The probability mass function (pmf) of a binomial distribution is:

\(P(x) = _nC^x (p)^x (1-p)^n^-^x\),

where,

n is the number of trials (5 customers) and

p is the probability of the event occurring (77% for the oversize version).

Therefore, the probability that the next 5 customers buy the oversize version is:

\(P(x) = _5C^x (0.77)^x (0.23)^5^-^x\)

where x is the number of customers who purchase the oversize racquet.

Using this formula, we can calculate the probabilities of different scenarios:

\(P(X = 0) = _5C^0 (0.77)^0 (0.23)^5 = 0.002 \\P(X = 1) = _5C^1 (0.77)^1 (0.23)^4 = 0.041 \\P(X = 2) = _5C^2 (0.77)^2 (0.23)^3 = 0.185 \\P(X = 3) = _5C^3 (0.77)^3 (0.23)^2 = 0.360 \\P(X = 4) = _5C^4 (0.77)^4 (0.23)^1 = 0.304 \\P(X = 5) = _5C^5 (0.77)^5 (0.23)^0 = 0.171\)

So, for example, the probability that exactly 3 customers will buy the oversize racquet is 0.360.

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The main difference between Kinetic energy and Potential energy is that kinetic energy refers to movement while potential energy refers to storage.

Kinetic energy is a type of energy in motion or energy in movement such as a turbine (mechanical energy), while Potential energy refers to the energy that is stored to be used when required (e.g. chemical bonds of foods).

Therefore, with this data, we can see that  Kinetic energy is used as movement, while Potential energy is stored to be used in the future.

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u have to divide it and u will get the answer

Answer:

There are two main ways to determine the age of a rock, these are Relative dating and Absolute dating. Relative dating is used to determine the relative order of past events by comparing the age of one object to another.

Explanation:

Explanation:

rock and fossils are made by layers of dirt, sand,organic matter that has beem compressed over thousands,if not millions of years.

some scientists use this layering to determine how old the earth is.

its kind of like looking at the rings of a tree to see how old it is.

the scientists look at each layer of the rock or fossil and use what they already know about when this type of soil or organic matter existed and try to piece together the past

The probability of a particle scattering at a given angle for d sigma d omega can be calculated using the differential cross section formula.

The differential cross section represents the probability of a particle scattering into a unit solid angle per unit target area. The formula for the differential cross section is given by:
d(sigma)/d(omega) = (1/k^2) * |f(theta)|^2
where k is the wave number, f(theta) is the scattering amplitude, and theta is the scattering angle.
The probability of a particle scattering at a given angle for d sigma d omega can be obtained by integrating the differential cross section over the solid angle. The probability can be expressed as:
P = ∫d(sigma)/d(omega) d(omega)
where the integral is taken over the solid angle.
The probability of a particle scattering at a given angle for d sigma d omega is dependent on various factors such as the energy of the incident particle, the mass and charge of the target particle, and the scattering angle. The probability also depends on the shape and size of the target particle.
In conclusion, the probability of a particle scattering at a given angle for d sigma d omega can be calculated using the differential cross section formula and integrating it over the solid angle. The probability is dependent on various factors and can be used to study the scattering behavior of particles.

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Answer:

(i) How deep is the well (Height)

=> t = √(2H/g)

=> √2H = t × g

=> 2H = t² × g²

=> 2H = (2.60)² × (10)²

=> 2H = 6.76 × 100

=> 2H = 676

=> H = 676 ÷ 2

=> H = 338 m

(ii) speed of the stone:

=> v = √(2Hg)

=> v = √(2 × 338 × 10)

=> v = √6760

=> v = 26√10 m/s

Answer:

7.5m/s

Explanation:

Law of conservation of momentum: momentum in a system before collision equals to that after collision/

5kg*3m/s=2kg*v

15kgm/s=2kg*v

v=7.5m/s

The correct definition of kinetic energy is that kinetic energy is the energy an object has due to its motion.

It is defined as the work needed to accelerate an object from rest to its current velocity. Kinetic energy is proportional to the mass of the object and the square of its velocity and can be calculated using the formula KE = 0.5 × m × v², where m is the mass of the object and v is its velocity.

Kinetic energy is a scalar quantity and has units of joules (J) in the SI system. It is an important concept in physics and has a wide range of applications, from understanding the motion of objects in classical mechanics to describing the behavior of particles in thermodynamics and quantum mechanics.

Therefore, The correct definition of kinetic energy is that kinetic energy is the energy an object has due to its motion.

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The equilibrium constant (Keeq) for a reaction at 25 °C can be calculated using the equation  Keeq = e^(−ΔG°/RT)

The equilibrium constant (Keeq) for a chemical reaction can be calculated using the equation Keeq = e^(−ΔG°/RT), where ΔG° represents the standard free-energy change, R is the gas constant, and T is the temperature in Kelvin.

In this case, the given standard free-energy change is −12.50 kJ mol−1 (−2.988 kcal mol−1). To calculate the equilibrium constant at 25 °C, we need to convert the temperature to Kelvin by adding 273.15 (25 °C + 273.15 = 298.15 K). Then, we substitute the values into the equation to find the equilibrium constant.

Keeq = e^(−12.50 kJ mol−1 / (8.314 J K−1 mol−1 × 298.15 K))

By evaluating the expression, we can determine the equilibrium constant (Keeq) for the given reaction at 25 °C.

The relationship between standard free-energy change and equilibrium constant in chemical reactions to understand the thermodynamic aspects of chemical equilibria

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Since the angle of incidence is 45° using the law of reflection we can conclude the reflective ray will also make an angle equal to the angle of incidence i.e. 45° with the normal.

1)The angle between the incident ray and the normal is equal to the angle between the reflected ray and the normal.

2)The incident ray, the normal and the reflected ray are all in the same plane.

3) Incident ray and refracted ray are on different sides of the normal.

Given:

Light rays strike at an angle of 45° to the plane.

Using the law of reflection we can easily draw the reflective wave.

Important terms:

Angle of incidence - it is the angle at which the light way strikes the plane mirror.

Angle of reflection- it is the angle at which the light way is reflected back by the plane mirror.

Now since the angle of incidence is 45° using the law of reflection we can conclude the reflective ray will also make 45° with the normal.

Hence the angle of incidence is 45° and also the angle of reflection is equal to the angle of incidence i.e.45°.

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Answer:

in accelerated motion

Explanation: tbh I just guessed if im wrong sorry

Answer:

a. 24 m³, 7.0×10⁴ Pa

Explanation:

Use Bernoulli's equation:

P₁ + ½ ρ v₁² + ρgh₁ = P₃ + ½ ρ v₃² + ρgh₃

Given or assumed:

P₁ = 0 Pa

v₁ ≈ 0 m/s

h₁ = 10 m

P₃ = 0 Pa

h₃ = 2 m

ρ = 1000 kg/m³

g = 9.8 m/s²

Substituting and simplifying:

ρg (10) = ½ ρ v₃² + ρg (2)

10g = ½ v₃² + 2g

(Notice this is simply an energy balance.)

Solving for v₃:

v₃ = √(16g)

v₃ = 12.5 m/s

Volumetric flow rate is velocity times area:

Q = v₃ A₃

Q = (12.5 m/s) (0.0160 m²)

Q = 0.200 m³/s

After 2 minutes, the volume discharged is:

V = (0.200 m³/s) (120 s)

V = 24.0 m³

Using Bernoulli's principle again:

P₂ + ½ ρ v₂² + ρgh₂ = P₃ + ½ ρ v₃² + ρgh₃

Since h₂ = h₃ and P₃ = 0:

P₂ + ½ ρ v₂² = ½ ρ v₃²

P₂ = ½ ρ (v₃² − v₂²)

Since volumetric flow is constant (mass is conserved):

Q = Q

v₂ A₂ = v₃ A₃

v₂ = v₃ A₃ / A₂

Substituting:

P₂ = ½ ρ (v₃² − (v₃ A₃ / A₂)²)

P₂ = ½ ρ v₃² (1 − (A₃ / A₂)²)

P₂ = ½ (1000 kg/m³) (12.5 m/s)² (1 − (0.0160 / 0.0480)²)

P₂ = 69,700 Pa

P₂ ≈ 7.0×10⁴ Pa

Answer: The correct option is C (The committee who insures ethical treatment of research participants)

Explanation:

The institute Review Board ( IRB) is a committee that reviews research that involves human beings and approves it once it's of ethical standard. This committee is usually made up of scholars that arefrom various departments who are mandated to review proposals to ensure that they comply with ethical guidelines and write a summary of proposed risks to subjects.

The primary importance of institute Review board is to protect the rights and welfare of human research subjects and to ensure that appropriate steps are taken to protect the rights and welfare of humans participating as subjects in the research, both in advance and by periodic review,

Answer:

D

Explanation:

Hi there!

To solve, we can use a summation of torques.

For the see-saw to balance, the sum of torques must equal 0, so:

∑τ = 0

Recall that:

τ = rFsinθ

r = distance from pivot (meters)

F = force (N)

In this case, the forces are the weight of the children. Also, we can leave the distance in centimeters for this type of problem, but others do require a conversion to meters.

Multiply each mass by 10 (g ≈ 10 m/s²) to get the weight:

Στ = 270(400) - x(300) = 0

270(400) = 300x

Solve for 'x', the distance in cm away from the fulcrum:

108000/300 = 360 cm

Answer:

Explanation:

The mass of a substance when given the density and volume can be found by using the formula

mass = Density × volume

From the question we have

mass = 1.45 × 275 = 398.75

We have the final answer as

Hope this helps you

Answer:

A string vibrates with a particular fundamental frequency. It is possible, however, to produce pitches with different frequencies from the same string. ... When the length of a string is changed, it will vibrate with a different frequency. Shorter strings have higher frequency and therefore higher pitch.

1 meter per second squared is equivalent to 0.001 kilometer per second squared.

To convert 1 meter per second squared (m/s²) into kilometer per second squared (km/s²), we need to consider the conversion factor between meters and kilometers.

1 kilometer is equal to 1000 meters, so we can use this conversion factor to convert the units.

First, let's convert the acceleration from meters per second squared to kilometers per second squared:

1 m/s² = (1/1000) km/s²

Therefore, 1 meter per second squared is equal to 0.001 kilometer per second squared.

So, 1 m/s² = 0.001 km/s².

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Answer:

Egg Drop Challenge height

The containers will be dropped from an initial height of about 11.5 ft. The second and final drop will be from the second floor (about 19.5 ft).

Explanation:

Answer:

A. NGC 3603 would be classified as Nebula

Explanation:

Answer:

v = √2gh

v = 7 m / s

Explanation:

For this exercise we can use the law of conservation of energy

starting point. In the roof

         Em₀ = U = m g h

final point. On the floor

          Em_f = K = ½ m v²

as there is no friction, the energy is conserved

          Em₀ = Em_f

          m g h = ½ m v²

          v = √2gh

In the exercise the height of the ceiling is not indicated, but in general the height of the ceiling of a house is h = 2.5 m

         v = √ (2 9.8 2.5)

         v = 7 m / s

Based on the calculations, the tension in the string connecting the yo-yo to the boy's finger is equal to: A. 35 Newton.

Given the following data:

Based on the information provided, we can logically deduce that the tension in the string connecting the yo-yo to the boy's finger is equal to the centripetal force acting on it.

Mathematically, centripetal force can be calculated by using this formula:

Fc = mv²/r

Fc = (0.5 × 7²)/0.7

Fc = 24.5/0.7

Fc = 35 Newton.

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Answer:

c. 0.71 [s]

Explanation:

To solve this problem we must use the following equation of kinematics.

\(v_{f} =v_{o} -g*t\)

where:

Vf = final velocity = 0 (because when the ball reaches the top, there is no movement)

Vo = initial velocity = 7 [m/s]

g = gravity acceleration = 9.81 [m/s²]

t = time [s]

Note: The negative sign of the equation means that the movement is againts the direction of the gravity acceleration.

\(0 = 7 - (9.81*t)\\t = 0.713 [s]\)

Given:

The mass on the table is,

The hanging mass is,

THe coefficient of friction is,

let the acceleration of the whole system is a (for the hanging mass it is downward and for the mass on the table it is rightward). the tension towards The fixed point of the pulley is T.

we can write,

Adding these equations we get,

Substituting the values we get,

Hence the acceleration is 6.66 m/s^2.

(a) The speed of the skier at the bottom of the slope is 16.3 m/s. b)  The coefficient of kinetic friction between the skier and the horizontal surface is 0.167. To find the speed of the skier at the bottom of the slope, we can use conservation of energy.

The initial potential energy of the skier at the top of the slope is converted into kinetic energy as the skier moves down the slope. When the skier reaches the bottom of the slope, all the potential energy is converted to kinetic energy.

Let's start by finding the height of the slope: h = Lsin(θ) = 52 sin(32°) = 28.2 m. The initial potential energy of the skier is mgh = 70 kg x 9.8 x 28.2 m = 19,656 J.

At the bottom of the slope, all of this potential energy is converted to kinetic energy, so: 1/2 \(mv^2\)= 19,656 J Solving for v, we get: v = sqrt((2 x 19,656 J) / 70 kg) = 16.3 m/s

Therefore, the speed of the skier at the bottom of the slope is 16.3 m/s. To find the coefficient of kinetic friction between the skier and the horizontal surface, we need to use the distance the skier slides along the horizontal path to find the work done by friction, which is then used to find the force of friction.

The work done by friction is given by W = Ff d, where Ff is the force of friction and d is the distance the skier slides along the horizontal path. The work done by friction is equal to the change in kinetic energy of the skier, which is: W = 1/2 \(mvf^2 - 1/2 mvi^2\)

where vf is the final velocity of the skier (zero) and vi is the initial velocity of the skier (16.3 m/s). W = -1/2 (70 kg) (16.3 m/s) = -18,254 JTherefore, the force of friction is: Ff = W / d = -18,254 J / 160 m = -114 N

The force of friction is in the opposite direction to the motion of the skier, so we take its magnitude to find the coefficient of kinetic friction:

Ff = uk mg

-114 N = uk (70 kg) (9.8)

uk = 0.167, Therefore, the coefficient of kinetic friction between the skier and the horizontal surface is 0.167.

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