1. If some unimaginable calamity destroyed the Sun, using the astronomical unit for the Earth-Sun distance and the value for the speed of light above, how long would we still have light after the Sun ceased to exist? (5)

Answer:

d =  186.3 m

Explanation:

Given that,

Speed of Matthew 3.45 m/s due eastward

It takes 54 seconds to walk to the store.

We need to find the distance covered. The product of speed and time is equal to the distance covered.

d = vt

Putting all values,

d = 3.45 m/s × 54 s

d = 186.3 m

Hence, he will cover a distance of 186.3 m.

Answer:

Gamma

Explanation:

The emission of light from a radioisotope occurs during Gamma decay.

Hence , the correct answer is Gamma decay .

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Answer:

The Bohr atom The Rutherford–Bohr model of the hydrogen atom. In this view, electron orbits around the nucleus resemble that of planets around the sun in the solar system.

Magnetic polarity is related to the current flowing in a loop of wire through the different ends of the circuit.

When a direct current (DC) voltage run through an electromagnet, then it flows from the positive end to the negative end of the DC circuit. Electrons flow in the opposite direction of the current in a circuit. This creates a magnetic field and the magnetic polarity which has both the north and south poles.

Direct current is an important to notice that the current flows through loads from negative to positive, and the current flows through the sources from positive end to negative end. A more precise way of stating that which is outside the source, the current flows from negative to positive point, however inside the source current flows from positive to negative.

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\(\\ \sf\longmapsto F=ma\)

\(\\ \sf\longmapsto m=\dfrac{F}{a}\)

\(\\ \sf\longmapsto m=\dfrac{50}{6.8}\)

\(\\ \sf\longmapsto m=7.3kg\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ ‎ ‎‎‎ ‎\(\bigstar\boxed{\large\bf{\leadsto{7.35\:kg}}}\)

__________________________________________

\(\large\bf{\underline{Given:}}\)

\(\large\bf{\underline{According\:to\: formula:}}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\underline{\boxed{\large\sf\pink{F=M\times A}}}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\large\bf{⟼50=M\times 6.8}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\large\bf{⟼M = \frac{50}{6.8}}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\large\bf{⟼M= 7.35}\)

\(\large\mathfrak{Therefore,\:Mass=7.35\:kg}\)

Answer:

Explanation:

Remark

The only thing that might trip you up is what to do with the angle. The vertical component of the 15 degrees does no work against anything. So the 15 degrees limits the horizontal force.

The formula is

Work = F * d * cos(15)

The givens are

F = 2000 N

d = 30 m

Cos(15) = 0.9659

Solution

Work = 2000 * 30 * cos(15)

Work = 57,955

Rounded to two places would be 5.8 * 10^4

C

When the light waves pass through the slit, the wave spreads, diffracting into a pattern on a screen behind it. The diffraction pattern is characterized by a series of bright fringes interspersed with dark ones.

We can calculate the distance between each dark fringe using the formula:dsinθ = mλ, where d is the width of the slit, θ is the angle of the dark fringe, m is the order of the fringe, and λ is the wavelength of the light.Let's now use this formula to solve the given problem. The first minimum occurs when m = 1. Therefore,1 × λ = d sinθ. The slit width is given as 1.31 µm = 1.31 × 10⁻⁶ m, and the angle of the dark fringe is 22.5°.We can convert this angle to radians as follows:θ = 22.5° = 22.5 × π/180 = 0.3937 radians.

Substituting the values into the formula, we get:λ = d sinθ / m= (1.31 × 10⁻⁶) × sin 0.3937 / 1= 7.52 × 10⁻⁷ m = 752 nmTherefore, the wavelength of light that produces its first minimum at an angle of 22.5° when falling on a single slit of width 1.31 µm is 752 nm (more than 100 words).

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Answer:

what table?

Explanation:

Answer:

-5

Explanation:

Answer:

A free falling object is an object that is falling under the sole influence of gravity. Any object that is being acted upon only by the force of gravity is said to be in a state of free fall. ... Free-falling objects do not encounter air resistance.

Explanation:

Answer:

Tt can be calculated by copy

Answer:

(a) 3.22 m

(b) The vertical velocity, \(v_y\), at maximum height is 0 m/s, the horizontal velocity, vₓ, is 12.72 m/s

(c) The acceleration at maximum height = g = 9.81 m/s²

(d) The time it takes for the paper to reach the balcony is 1.212 seconds

(e) The horizontal range, of the paper is 15.42 m.

Explanation:

(a) Given that we re given a projectile motion, we have the following governing equations;

y = y₀ + v₀·sin(θ₀)·t - 0.5×g·t²

\(v_y\) = v₀·sin(θ₀) - g·t

Where:

y = Height of the paper

y₀ = Initial height of the paper = Ground level = 0

v₀ = Inititial velocity of the paper = 15.0 m/s

θ₀ = Angle in which the paper is thrown = 32° above the horizontal

g = Acceleration due to gravity = 9.81 m/s²

t = Time taken to reach the height h

\(v_y\) = Vertical velocity of the paper

At maximum height, \(v_y\) = 0, therefore;

\(v_y\) = v₀·sin(θ₀)·t - g·t = 0

v₀·sin(θ₀) = g·t

t = v₀·sin(θ₀)/g = 15×sin(32°)/9.81 = 0.81 seconds

y = y₀ + v₀·sin(θ₀)·t - 0.5×g·t² = 0 + 15×sin(32°)×0.81-0.5×9.81×0.81² = 3.22 m

(b) The vertical velocity, \(v_y\), at maximum height = 0 m/s, the horizontal velocity, vₓ, = 15×cos(32°) = 12.72 m/s

(c) The acceleration at maximum height = g = 9.81 m/s²

(d) The time it takes to maximum height = 0.81 seconds

The time the paper will take to fall to 1.25 m above the ground, which is 3.22 - 1.25  = 1.97 meters below maximum height is therefore given as follows;

y = y₀ + v₀·sin(θ₀)·t - 0.5×g·t²

Where:

v₀ = 0 m/s at maximum height

y = -1.97 m downward motion

y₀ = 0 starting from maximum height downwards

1.97 = 0 + 0·sin(θ₀)·t - 0.5×9.81×t²

-1.97 =  - 0.5×9.81×t²

t = (-1.97)/(-0.5*9.81) = 0.402 seconds

The time the paper will take to fall to 1.25 m above the ground = 0.81+0.402 = 1.212 seconds

Therefore, the time it takes for the paper to reach the balcony = 1.212 seconds

(e) The horizontal range, x, is given by the relation;

x = x₀ + v₀·cos(θ₀)·\(t_{tot}\)

x₀ = Starting point of throwing the paper = 0

\(t_{tot}\) = Total time of flight of the paper

∴ x = x₀ + v₀·cos(θ₀)·\(t_{tot}\) = 0 + 15×cos(32°)×1.212 = 15.42 m

The horizontal range, of the paper = 15.42 m.

final velocity, v  = 16.0 m/s in a direction 45° from the +x axis.

x component of v = , v(x) = 16 cos(45°) = 11.314 m/s

y component of v = , v(y) = 16 sin (45°) = 11.314 m/s

The speed where the speed increases is known as acceleration. Acceleration typically, but not always, indicates a change in speed. Because of the shifting direction of its velocity, an item moving on a circular route at a constant speed is still accelerating.

The rotation of an object's acceleration is determined by the orientation of the net force exerted on that object.

now as acceleration is along x axis only x component is affected by this acceleration.

let, u(x) be the initial x component of velocity. then

v(x) = u(x) +a*t

11.314 = u(x) + (-2) × 2.7

u(x) = 16.714 m/s

hence initial velocity magnitude  = [(u(x))² + (u(y))²]⁰·⁵ = 20.18 m/s

angle of initial vector (θ) = arctan (11.314/ 16.714)  = 34.09

hence , initial velocity vector of the object = 20.18 m/s in a direction 34.09 degrees from +x axis

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The part of the Sun's electromagnetic spectrum that has wavelengths between ultraviolet and infrared radiation is the visible light spectrum.

Visible light consists of wavelengths ranging approximately from 400 nanometers (nm) to 700 nm. This portion of the electromagnetic spectrum includes the colors that we can perceive with our eyes, such as red, orange, yellow, green, blue, indigo, and violet.

It is worth noting that ultraviolet (UV) radiation has shorter wavelengths than visible light, while infrared (IR) radiation has longer wavelengths. The visible light spectrum occupies the region between UV and IR and is responsible for the colors we see in our everyday lives.

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Answer:

225 meters

Explanation:

45*5 or 225 meters.

Hope this helps plz hit the crown :D

Answer:

The answer to your question is given below

Explanation:

From the question given above, we can see that the wave with a higher frequency has a shorter wavelength while that with a lower frequency has a longer wavelength. This is so because the frequency and wavelength of a wave has inverse relationship. This can further be explained by using the following formula:

Velocity = wavelength x frequency

Divide both side by wavelength

Frequency = Velocity /wavelength

Keeping the velocity constant, we have:

Frequency ∝ 1 / wavelength

From the above illustration, we can see clearly that the frequency and wavelength are in inverse relationship. This implies that the higher the frequency, the shorter the wavelength and the shorter the frequency, the higher the wavelength.

On a cold windy day when the outside air temperature is 10oC and the wind chill factor is -10oC, you feel colder than 10oC because of (c) convection.

Convection is the heat transfer that occurs between a surface and a moving fluid when the two are at different temperatures. When the air temperature is 10oC and the wind chill factor is -10oC, the wind blows cold air over your skin, removing the layer of heat that surrounds your body and making you feel colder than the actual temperature.The high specific heat of air, radiation, and conduction are not the reasons why you feel colder than 10oC. The specific heat of air refers to the amount of energy required to raise the temperature of air by one degree Celsius. Radiation is the transfer of heat through electromagnetic waves, and conduction is the transfer of heat through direct contact. These methods are not relevant in explaining why you feel colder than 10oC in this scenario.

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Inelastic collision and a host of other factors causes the loss of energy.

Kinetic energy of an object is the energy that it possesses due to motion.

It can be defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. When it has gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.

In an inelastic collision which is the case of ball X and Y, the kinetic energy of the system is not conserved. The energy that you find lost has been dissipated as other forms of energy. This can be heat, friction, vibrational energy transferred to atoms of the colliding particles, energy lost to deform the atomic structure etc.

In conclusion, the inelastic collision nature of the two balls results in the loss of energy through different forms.

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False. A non-spontaneous reaction cannot be converted into a spontaneous reaction in a voltaic cell by the expense of electrical energy.

In a voltaic cell, also known as an electrochemical cell or a galvanic cell, the conversion of chemical energy into electrical energy occurs through a spontaneous redox reaction.

A spontaneous reaction is one that occurs naturally and releases energy, while a non-spontaneous reaction requires an input of energy to proceed. In a voltaic cell, the spontaneous redox reaction takes place spontaneously, generating electrical energy. The electrons flow from the anode (where oxidation occurs) to the cathode (where reduction occurs) through an external circuit, creating an electric current.

If a reaction is non-spontaneous, it cannot occur naturally without an input of energy. In an electrolytic cell, which is the reverse of a voltaic cell, electrical energy can be used to drive a non-spontaneous reaction. In this case, the electrical energy is used to force a reaction to proceed against its natural tendency.

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Answer:

The geological features that is not created by the movement of the Earth's plates is Canyons.

Answer: An orbit cleared of other objects.

There are three basic characteristics that a planet must have. Dwarf planets have two of these characteristics: an orbit and a spherical shape. However, dwarf planet orbits are not cleared of other objects like the orbits of planets.

Answer: approx 3.61 seconds

Explanation:

To calculate the acceleration during the first 3.5 seconds and the next 2 seconds, we can use the formula:

Acceleration = Change in Velocity / Time

First, let's convert the speed from miles per hour to meters per second:

60 mi/hr = (60 * 1609.34 m) / (1 hr * 3600 sec) ≈ 26.82 m/s

Acceleration during the first 3.5 seconds:

Velocity change = 26.82 m/s - 0 m/s = 26.82 m/s

Time = 3.5 sec

Acceleration = 26.82 m/s / 3.5 sec ≈ 7.66 m/s²

Acceleration during the next 2 seconds:

Velocity change = 0 m/s - 26.82 m/s = -26.82 m/s (negative sign indicates deceleration)

Time = 2 sec

Acceleration = -26.82 m/s / 2 sec ≈ -13.41 m/s²

To calculate the distance traveled in the 5.5 seconds, we can use the formula:

Distance = Initial Velocity * Time + (1/2) * Acceleration * Time²

For the first part (acceleration):

Initial Velocity = 0 m/s

Time = 3.5 sec

Acceleration = 7.66 m/s²

Distance = 0 m/s * 3.5 sec + (1/2) * 7.66 m/s² * (3.5 sec)² ≈ 44.89 meters

For the second part (deceleration):

Initial Velocity = 26.82 m/s (velocity at the end of the first part)

Time = 2 sec

Acceleration = -13.41 m/s²

Distance = 26.82 m/s * 2 sec + (1/2) * (-13.41 m/s²) * (2 sec)² ≈ 20.93 meters

Total distance traveled in 5.5 seconds:

Total Distance = Distance during acceleration + Distance during deceleration

Total Distance = 44.89 meters + 20.93 meters ≈ 65.82 meters

To calculate how long the car needs to go 50 meters, we can use the formula:

Distance = Initial Velocity * Time + (1/2) * Acceleration * Time²

For the first part (acceleration):

Initial Velocity = 0 m/s

Distance = 50 meters

Acceleration = 7.66 m/s²

50 meters = 0 m/s * Time + (1/2) * 7.66 m/s² * Time²

Simplifying the equation:

3.83 m/s² * Time² = 50 meters

Time² = 50 meters / 3.83 m/s²

Taking the square root of both sides:

Time ≈ √(50 meters / 3.83 m/s²)

Time ≈ √(13.05 seconds²) ≈ 3.61 seconds

Therefore, the car needs approximately 3.61 seconds to travel 50 meters.

Given statment "The length of the repeat unit of a microsatellite is longer than the length of the repeat unit of the minisatellite"is true. Because the length of the repeat unit of a microsatellite is shorter than that of a minisatellite.

True. Microsatellites and minisatellites are both types of tandem repeats, which are repeating sequences of DNA that occur one after another in a particular location on a chromosome. However, the main difference between the two lies in the length of their repeat units.

Microsatellites have shorter repeat units consisting of 1-6 nucleotides, whereas minisatellites have longer repeat units consisting of 10-60 nucleotides. This means that the length of the repeat unit of a microsatellite is shorter than that of a minisatellite.
Another difference between the two types of tandem repeats is their location on the chromosome. Microsatellites are generally located in the non-coding regions of DNA, whereas minisatellites are found in both coding and non-coding regions.

The difference in the length and location of these tandem repeats makes them useful for different types of genetic analysis. Microsatellites are commonly used for forensic analysis, paternity testing, and population genetics studies, while minisatellites are used for studying genetic variation and mutation rates.
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The force between a pair of cars in a train undergoing constant acceleration is much more significant compared to the forces between other cars in the same train.

The hypothesis on how the force between a pair of cars in a train undergoing constant acceleration compares to the forces between other cars in the same train is detailed below.

As the cars in a train undergo constant acceleration, the force between a pair of cars is more significant than the forces between other cars in the same train. This is due to the fact that as the acceleration increases, the force between a pair of cars increases because the car at the back is pushed forward while the car in front is pulling backward, and as a result, there is an increase in the force acting between the two cars.

                                    However, the forces between other cars in the same train are not as significant as the force between a pair of cars because there is no direct contact between them, and hence the force is much less. The greater the acceleration, the greater the force acting between a pair of cars in the train, while the force acting between other cars remains negligible.

Therefore, the force between a pair of cars in a train undergoing constant acceleration is much more significant compared to the forces between other cars in the same train.

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The rate of water level rising when the water is 30 cm deep will be 1/30 m/min.

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

The complete question is;

"A water trough is 10m long and has a cross-section which is the shape of an isosceles trapezoid

that is 30cm wide at the bottom, 80cm wide at the top, and has a height of 50cm. If the trough is being filled with water at the rate of 0.2 m3/min, how fast is the water level rising when the water is 30cm deep?"

b1 is the width of the water at a height at the bottom

b2 is the width of the water at the height at the top

The length of the trapezoid is L

The volume of the trapezoid is found as;

\(\rm V = 0.5(b_1 + b_2)hL\)

The breadth rises by 1 as the height does, therefore which implies

\(\rm \frac{dh}{dt} =\frac{dw}{dt}\)

The water's breadth at the combined height is [0.3 + h]

\(\rm V = 5h(0.3 +(0.3 + h))\\\\ V = 3h + 5h^2\)

After differentiation we get;

\(\rm \frac{dv }{dt} =3 \frac{dh}{dt} +10 h \frac{dh}{dt} \\\\\ \frac{ \frac{dv }{dt}}{3+10h}=\frac{dh}{dt} \\\\\ \frac{dv }{dt}= 0.2 \\\\\ h = 0.3 \\\\ \frac{dh}{dt} = \frac{1}{30} m/min\)

Hence the rate of water level rising when the water is 30 cm deep will be 1/30 m/min.

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Assuming that there is sufficient time for the piece of iron to reach thermal equilibrium with the water, the temperature of the water after 10 minutes could be 75 °C. The heat from the warmer water would flow into the cooler piece of iron, causing its temperature to rise, and the temperature of the water would decrease slightly until they reached the same temperature.

Answer:

Explanation:

The time taken can be found by using the formula

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

d is the distance

v is the velocity

From the question we have

\(t = \frac{3.5}{4.8} \\ = 0.72916...\)

We have the final answer as

Hope this helps you

Answer:

The apple's  potential energy is 0.9555 Joule

Explanation:

Gravitational Potential Energy

Gravitational potential energy is the energy stored in an object because of its vertical position or height in a gravitational field.

It can be calculated with the equation:

\(U=m.g.h\)

Where m is the mass of the object, h is the height with respect to a fixed reference, and g is the acceleration of gravity, or 9.8 m/s^2.

The apple has a mass of m=0.15 kg and it's located at a height of h=0.65 m. Calculate the potential energy:

\(U=0.15\ kg\cdot 9.8\ m/s^2\cdot 0.65\ m\)

\(U=0.9555\ J\)

The apple's  potential energy is 0.9555 Joule

Answer:

The apple's  potential energy is 0.9555 Joule

Explanation:

Answer:

Gravity

Explanation:

That's easy because gravity is the only thing that can pull us down that hard at that fast without anything helping it.