Given that average speed is distance traveled divided by time, determine the values of m
and n
when the time it takes a beam of light to get from the Sun to the Earth (in s
) is written in scientific notation. Note: the speed of light is approximately 3.0 ×
108 m/s
.

When a ray of light strikes a plane mirror, the angle of reflection is equal to the angle of incidence.

In this case, the ray of light makes an angle of 35 degrees with the plane mirror. Therefore, the angle of reflection will also be 35 degrees. To understand why this happens, we need to consider the properties of reflection. When light interacts with a smooth surface like a mirror, it follows the law of reflection.

According to this law, the incident ray, the reflected ray, and the normal (a line perpendicular to the mirror's surface) all lie in the same plane. The angle of incidence is the angle between the incident ray and the normal, measured on the side of the normal where the light is coming from. In this case, the angle of incidence is 35 degrees.

According to the law of reflection, the angle of reflection is the angle between the reflected ray and the normal, also measured on the side of the normal where the light is coming from. Since the incident and reflected rays are on opposite sides of the normal, the angle of reflection is also 35 degrees.

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The quantity of heat energy that must be transferred to 2.25 kg of brass to raise its temperature from 20 °C to 240 °C is 195030 J

First, we shall list out the given parameters from the question. This is shown below:

The quantity of heat energy that must be transferred can be obtained as follow:

Q = MCΔT

= 2.25 × 394 × 220

= 195030 J

Thus, we can conclude quantity of heat energy that must be transferred is 195030 J

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We used the conservation of momentum to find the final velocity of a 3 kg collision cart that collided with a 2 kg cart. We found that the final velocity of the 3 kg cart is -6.07 m/s.

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The force that results in the decrease in speed from the midpoint to the end of the track is friction. The friction force slows down the vehicle because it acts in the opposite direction of the car's motion.

The force that would cause the Hot Wheels car to slow down from the midpoint of the track to the end of the track is friction between the car's wheels and the track.

Friction is a force that opposes motion between two surfaces in contact.

In this case, the wheels of the car and the surface of the track are in contact, and the friction force acts in the opposite direction of the car's motion, which slows it down.

As the Hot Wheels car travels down Track #2 during the Speed Lab activity, its initial velocity decreases due to friction.

Friction is a resistance force that opposes motion.

It is caused by the interaction between the surfaces in contact. In this case, the surface of the track and the wheels of the car are in contact.

When the car is moving, there is friction between the two surfaces.

The direction of the friction force is opposite to the direction of motion of the car.

This means that the friction force slows the car down.

In conclusion, the force that results in the decrease in speed from the midpoint to the end of the track is friction.

The friction force slows down the vehicle because it acts in the opposite direction of the car's motion.

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Answer: Here you go, i hope this kinda helps.

Explanation:Disambiguation is just a fancy way of saying "asking clarifying questions".

Watson Assistant replies to user's questions based on a confidence score.

Sometimes the customer's question could be interpreted in two or three different ways.

For example, if you say you'd like to "book a table for 8", the assistant is able to ask a clarifying question:

Did you mean booking a table for 8PM, 8AM, or booking a table for 8 guests?

Watson Assistant will ask the question when its confidence score is divided between a few options to ensure that your customers get exactly the right service they need.

The length of side YZ (c) is approximately 119.13 miles.

To find the length of side c, we can use the Law of Cosines, which states:

c² = a² + b² - 2ab * cos(C)

Plugging in the given values:

a = 222 miles

b = 150 miles

C = 30 degrees

We need to convert the angle from degrees to radians to use it in the cosine function. The conversion is as follows:

θ (radians) = θ (degrees) * π / 180

C (radians) = 30 degrees * π / 180 = π / 6 radians

c² = 222² + 150² - 2 * 222 * 150 * cos(π / 6)

c² = 49284 + 22500 - 66600 * cos(π / 6)

c² = 49284 + 22500 - 66600 * (√3 / 2)

c² = 71784 - 66600 * (√3 / 2)

c² = 71784 - 66600 * 0.866

c² = 71784 - 57600

c² = 14184

c = √14184

c ≈ 119.13 miles (rounded to two decimal places)

Therefore, the length of side YZ (c) is approximately 119.13 miles.

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The decibel level that can cause hearing damage to begin is 80.

The correct answer to the given question is option A.

According to the Occupational Safety and Health Administration (OSHA) standards. When sound intensity reaches 85 decibels or higher, it can cause permanent hearing loss or damage if not protected properly.

Decibels (dB) are the unit used to measure the loudness of sound. Sound is defined as a wave of pressure that arises when energy is transferred from one place to another. The frequency of sound waves determines the pitch, while the intensity of sound waves determines the volume.

Sound that is too loud can cause damage to the hair cells in the cochlea, which are responsible for converting sound vibrations into electrical signals that the brain can understand. The damage to the hair cells is irreversible, so it is essential to protect your ears from loud sounds.

OSHA standards define 85 decibels as the maximum exposure to sound levels that are safe for eight hours per day. If noise levels exceed 85 decibels, earplugs or earmuffs should be used to prevent hearing loss.

Therefore, it is crucial to be cautious with loud sounds and take necessary precautions to avoid hearing damage, such as using earplugs or earmuffs in noisy environments.

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The product of 3 radians, 1 revolution, 60 minutes, and 1 hour is 21600π rad [tex]min^2[/tex] hr.

To find the product, we need to multiply the given values together. Let's break it down step by step:
First, let's convert the given values to a common unit.
1 revolution (rev) is equal to 2π radians (rad). So, 1 rev can be written as 2π rad.
Next, we have 60 minutes (min). Since there are 60 minutes in an hour, we can convert 60 minutes to 1 hour by dividing it by 60. This gives us 1 hour (hr).
Now, let's multiply the values together:
3 rad * 1 rev = 3 rad * 2π rad (since 1 rev = 2π rad)
= 6π rad
Next, we'll multiply by 60 min:
6π rad * 60 min = 360π rad min
Lastly, we'll multiply by 1 hr:
360π rad min * 1 hr = 360π rad min * 1 hr * 60 min (since 1 hr = 60 min)
= 21600π rad [tex]min^2[/tex] hr
Please note that π represents the mathematical constant pi, which is approximately equal to 3.14159.

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The final velocity of the pair of hockey players is 4.12 m/s.

In an inelastic collision, the two objects stick together and move as a single unit after the collision. To calculate the final velocity of the pair of hockey players, we can apply the principle of conservation of momentum.

The initial momentum of the system is given by the sum of the individual momenta of the players before the collision. The momentum (p) of an object is defined as the product of its mass (m) and velocity (v): p = m * v.

For the first player, with a mass of 80 kg and initial velocity of 7.5 m/s, the initial momentum is 80 kg * 7.5 m/s = 600 kg·m/s. For the second player, with a mass of 75 kg and initial velocity of 0.5 m/s, the initial momentum is 75 kg * 0.5 m/s = 37.5 kg·m/s.

The total initial momentum of the system is the sum of these individual momenta: 600 kg·m/s + 37.5 kg·m/s = 637.5 kg·m/s.

Since the collision is completely inelastic, the two players stick together and move as a single unit after the collision. Therefore, the final velocity of the pair of hockey players is determined by dividing the total initial momentum by the total mass of the system: final velocity = total initial momentum / total mass.

The total mass of the system is 80 kg + 75 kg = 155 kg. Dividing the initial momentum (637.5 kg·m/s) by the total mass (155 kg), we find the final velocity of the pair of hockey players to be approximately 4.12 m/s.

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The speed (v1) of the 3.0-kilogram block immediately after being propelled by the spring can be calculated by equating the initial potential energy stored in the spring to the kinetic energy of the block. The formula for kinetic energy is given by KE = 1/2 * m * [tex]v^2[/tex], where m is the mass of the object and v is its velocity.

Therefore, using this formula, we can find the speed (v1) as follows:

1. Determine the potential energy stored in the spring using the formula for potential energy: PE = 1/2 * k * [tex]x^2[/tex], where k is the spring constant and x is the displacement from the equilibrium position. As the question does not provide these values, we cannot determine the potential energy directly.

2. However, we can assume that all the spring's energy is transferred to the 3.0-kilogram block, which means the potential energy of the spring is equal to the kinetic energy of the block. Thus, we can equate the two energies:

  PE = KE  

3. Substitute the formulas for potential energy and kinetic energy:

  1/2 * k * [tex]x^2[/tex] = 1/2 * m * [tex]v1^2[/tex]  

4. Rearrange the equation to solve for v1:

  [tex]v1^2[/tex] = (k * [tex]x^2[/tex]) / m

5. Take the square root of both sides to find v1:

  v1 = sqrt((k * [tex]x^2[/tex]) / m)

Please note that to provide an exact numerical value for v1, we would need specific values for the spring constant (k) and the displacement (x) of the spring from the equilibrium position.

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A wire perpendicular to the screen carries a current and then the direction of the magnetic field at point Z is upward

To determine the direction of the magnetic field at point Z, we need to apply the right-hand rule for current-carrying wires. The right-hand rule states that if you point your right thumb in the direction of the current flow, then the direction in which your fingers curl represents the direction of the magnetic field around the wire.

In the given scenario, the wire is perpendicular to the screen, and the current is flowing in the direction shown by the arrow (from left to right). To determine the magnetic field at point Z, we can imagine wrapping our right hand around the wire such that our fingers curl in the direction of the current (from left to right). When we do this, our thumb points in the upward direction.

Therefore, the direction of the magnetic field at point Z is upward. This means that the magnetic field lines around the wire at point Z are oriented in a counterclockwise direction when viewed from above the screen.

It's important to note that the direction of the magnetic field depends on the direction of the current flow. If the current were flowing in the opposite direction (from right to left), the direction of the magnetic field at point Z would be downward.

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The circuit in which lamps Q and R light but not lamp P when switch S is open is circuit B.

An electric circuit is a path for transmitting electric current.

Given the circuits below, when switch S is open, we want to determine the circuit in which lamps Q and R light but not lamp P.

To determine the circuit, we proceed as follows.

To determine the circuit in which lamps Q and R light but not lamp P, it must satisfy this condition

Looking at all the circuits, the circuit which satisfy these condition is circuit B

So, the circuit in which lamps Q and R light but not lamp P is circuit B.

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Answer:

In order for the box to be in equilibrium, the third person's force should be equal but opposite in direction to the resultant force of the two forces already acting on the box.

First, let's calculate the resultant force acting on the box. The box is being pushed with 8 N to the east and 20 N to the south. Since these forces are at right angles to each other, we can use the Pythagorean theorem to find the magnitude of the resultant force:

Magnitude = sqrt((8 N)^2 + (20 N)^2)

                = sqrt(64 N^2 + 400 N^2)

                = sqrt(464 N^2)

                = 21.54 N

The direction of the resultant force can be calculated using trigonometry. Specifically, we can use the tangent function, which is the ratio of the opposite side to the adjacent side in a right triangle.

tan(θ) = Opposite/Adjacent

tan(θ) = 20 N / 8 N

θ = atan(20/8)

θ = 68.2°

The direction of the force is therefore 68.2° South of East (since we have taken East as the base direction and South as the angle direction).

The third person should therefore apply a force of 21.54 N in the direction exactly opposite to 68.2° South of East, which is 68.2° North of West.

So, the correct choices are:

Magnitude of the third vector is 21.54 N.

Direction of third vector is 68.2° North of West.

The force of gravity between two objects with masses of 15,000,000kg and 16,000,000kg, separated by 14m, is approximately 1.04 x 10⁸ N.

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a. The energy of the photon is 2.86 × 10^−19 J.

b. The maximum kinetic energy of the ejected photo electron is 1.06 × 10^−20 J.

c. The threshold frequency for the material is 1.06 × 10^15 Hz.

The energy of the photon is given by:

E = hf where f is the frequency of the photon and h is Planck’s constant.

The frequency of the photon is given as f = 6.92 × 10^14 Hz and Planck’s constant is

h = 4.14 × 10^−15 eV.s.E = hf= 6.92 × 10^14 × 4.14 × 10^−15= 2.86 × 10^−19 J.

The maximum kinetic energy of the ejected photo electron is given by:

KEmax = E − φwhere E is the energy of the photon and φ is the work function of the material.

The work function of the material is given as

φ = 2.75 eV = 2.75 × 1.60 × 10^−19 J.

KEmax = E − φ= 2.86 × 10^−19 − 2.75 × 1.60 × 10^−19= 1.06 × 10^−20 J

The threshold frequency for the material is given by:

f0 = φ/h where φ is the work function and h is Planck’s constant.

f0 = φ/h= 2.75 × 1.60 × 10^−19/4.14 × 10^−15= 1.06 × 10^15 Hz.

Thus, the energy of the photon is 2.86 × 10^−19 J, the maximum kinetic energy of the ejected photo electron is 1.06 × 10^−20 J, and the threshold frequency for the material is 1.06 × 10^15 Hz.

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The car has traveled a distance of approximately 55.44 m.

In 7.0 s, a car accelerates uniformly from rest to a velocity at which its wheels are turning at 6.0 rev/s. If the tires of the car have a diameter of 42 cm, and they rolled on the ground without slipping, the car will travel a distance of approximately 50.9 meters in those 7.0 seconds.

To calculate the distance, we must first determine the car's final velocity. The angular velocity of the wheels is given by 6.0 rev/s. Since the diameter of the tires is 42 cm, the circumference is:πd = π(0.42 m) = 1.32 m. The velocity of the car can be calculated by multiplying the circumference by the angular velocity: v = 6.0 rev/s × 1.32 m/rev = 7.92 m/s.

Now that we know the final velocity of the car, we can use the formula:d = (vf + vi)t/2where vi = 0 m/s (since the car is initially at rest), vf = 7.92 m/s, and t = 7.0 sd = (7.92 m/s + 0 m/s)(7.0 s)/2 = 27.72 m. The car traveled approximately 27.72 m in the first half of the trip (from rest to the final velocity), and 27.72 m in the second half of the trip (from the final velocity to a complete stop).

Therefore, the total distance traveled by the car in those 7.0 s is approximately 27.72 m + 27.72 m = 55.44 m. However, this is the distance that the wheels have rolled, not the distance that the car has traveled. Since the wheels are not slipping, the distance that the car has traveled is equal to the distance that the wheels have rolled.

So, the car has traveled a distance of approximately 55.44 m. Rounding to the appropriate significant figures, the distance is approximately 50.9 meters.

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The answer is 1) The pressure at point D is 80 kPa. 2) The temperature at point D is 800 K. 3) The net work done on the gas over four cycles is zero. 4) The internal energy of the gas at point A is 100 J. 5) The total change in internal energy during four complete cycles is zero.

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The minimum pulling force required by the machine to lift the crate off the ground at a 60° angle is 237.9 N.

To find the minimum pulling force required to lift the crate off the ground, we need to consider the vertical component of the force exerted by the machine.

Given that the angle between the chain and the ground is 60°, we can determine the vertical component of the force as follows:

Vertical component = Force * sin(angle)

Let's calculate the vertical component of the force:

Vertical component = Force * sin(60°)

= Force * ([tex]\sqrt{3}[/tex] / 2)

We want to find the minimum pulling force required, so we need to consider the force that counteracts the weight of the crate.

Weight = mass * gravity

Weight = 21 kg * 9.8 m/[tex]s^2[/tex]

= 205.8 N

Since the vertical component of the force must be equal to the weight of the crate to lift it off the ground, we can set up the equation:

Force * ([tex]\sqrt{3}[/tex] / 2) = 205.8 N

Solving for Force:

Force = 205.8 N / ([tex]\sqrt{3}[/tex] / 2)

= 205.8 N * (2 / [tex]\sqrt{3}[/tex])

≈ 237.9 N

Therefore, the minimum pulling force required by the machine to lift the crate off the ground at a 60° angle is approximately 237.9 N.

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Answer:

Explanation:

In the microscopic world of quantum mechanics, particles don't behave like familiar everyday objects. They can exist in multiple states simultaneously and behave as both particles and waves. When we try to measure or observe a particle, we typically use light or other particles to interact with it. However, this interaction can disturb the particle's state. Imagine trying to measure the position of an electron using light. Light consists of photons, and when photons interact with the electron, they transfer energy to it. This energy exchange causes the electron's position and momentum to become uncertain. The more precisely we try to measure its position, the more uncertain its momentum becomes, and vice versa. This is known as the Heisenberg uncertainty principle.

So, the act of observing a particle disturbs its state because the interaction between the observer and the particle affects its properties. The very act of measurement or observation introduces a level of uncertainty and alters the particle's behavior. It's important to note that this behavior is specific to the quantum world and doesn't directly translate to the macroscopic world we experience in our daily lives. Quantum mechanics operates at extremely small scales and involves probabilities and uncertainties that are not typically noticeable in our macroscopic observations.

Julie's speed when she hits the water is approximately 9.90m/s.

Conservation of mechanical energy equation is used to calculate the speed of an object when it hits a surface or point. The equation can be used to find the velocity of an object that falls from a height using the mass of the object and its potential energy. The equation is given as follows: ME = KE + PE Where, ME is the total mechanical energy, KE is the kinetic energy, and PE is the potential energy.

Julie is standing on a diving board 5m above the surface of the water. Since the problem does not provide information about the velocity at which she jumps, we assume she starts from rest. Therefore, her initial velocity, u = 0.Julie's mass, m = 48kg, and the height of the diving board, h = 5.0m. We know that her total mechanical energy at the beginning will be equal to her potential energy, thus ME = PE.

The potential energy is given by PE = mgh Where g is the acceleration due to gravity (9.8m/s²)Therefore,PE = 48kg × 9.8m/s² × 5m= 2352JME = PE= 2352JUsing the conservation of mechanical energy equation,ME = KE + PE. Since she starts from rest, her initial kinetic energy is zero (KE = 0). Therefore,2352J = KE + 0JKE = 2352J

The final kinetic energy can be found using the equation: KE = 0.5mv² Where, v is the final velocity.

Therefore,2352J = 0.5 × 48kg × v²v² = (2352J × 2) ÷ (48kg)v² = 98m²/s²v = sqrt(98m²/s²)v = 9.90m/s.

Therefore, Julie's speed when she hits the water is approximately 9.90m/s.

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Answer:

Suppose the  object were stationary and emitting waves that had a distance of 1 m between crests - the receiver would receive waves that had a distance of 1  between crests

Suppose the object were moving towards the receiver, then there would no longer be 1 m between the crests as measured in the laboratory frame because of movement of  the object.

Then the receiver would receive waves that were less than 1 m apart and would report a higher frequency than if the object were stationary,

The eraser on the tilted clipboard needs a minimum static friction coefficient of 0.3907. No option matches; The correct answer is (O) Not enough information to tell.

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The correct answer is 105.98 C

Given,

[tex]R_1 = 40 ohm\\R_2 = 94.6 ohm\\T_1 = 30 C\\[/tex]

Coefficient of resistance for Pt = 3.92×10^-3°C

[tex]R_1/R_2 = (1+\alpha T_1)/(1+\alpha T_2)\\[/tex]

[tex]40/94.6 = (1+(3.92×10^(-3) * 30)/(1+(3.92×10^(-3)* T_2)\\T_2= 105.98 C[/tex]

Therefore, the melting point of tin is 105.98 C

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The minimum distance to speaker 2 for there to be destructive interference at that spot is 1.145 meters.

Destructive interference is said to happen when two waves with identical frequencies and amplitudes interfere with each other resulting in a wave with amplitude zero.

In order for us to calculate the minimum distance to speaker 2 for there to be destructive interference at that spot, we need to follow these steps:

Step 1: Find the wavelength of the sound waves wavelength, λ = speed of sound / frequency, f

The speed of sound is 343 m/s because the question doesn't give any value for it.

Therefore, λ = 343 / 240Hz = 1.43m

Step 2: Determine the distance from speaker 1 to the point of destructive interference

The distance from speaker 1 to the point of destructive interference, d = λ / 2 + kλ where k = 0, 1, 2, 3, ...

The smallest value for k is 0, so d = λ / 2 = 1.43 / 2 = 0.715m

Step 3: Calculate the distance from speaker 2 to the point of destructive interference

Since we want to know the minimum distance to speaker 2 for there to be destructive interference at that spot, we need to find the distance that is one-half wavelength more than the distance from speaker 1 to the point of destructive interference.d2 = d + λ / 2 = 0.715 + 1.43 / 2 = 1.145m

Therefore, the minimum distance to speaker 2 for there to be destructive interference at that spot is 1.145 meters.

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