If the radio waves that are sent from the speed gun have a frequency of 400,000,002 Hz and the radio waves reflected off an approaching car have a frequency of 400,000,109 Hz, what is the speed of the car? (Hz is the SI unit of frequency, equal to cycles per second).

The potential energy  and kinetic energy of the bowling ball are 2,205 J and 37.5 J respectively.

The bowling ball at the given position and speed possess gravitational potential energy and kinetic energy.

The potential energy  and kinetic energy of the bowling ball is calculated as follows;

P.E = mgh

where;

P.E =  (3 x 9.8 x 75 )

P.E = 2,205 J

The kinetic energy of the bowling ball is calculated as;

K.E = ¹/₂ mv²

where;

K.E = ¹/₂ ( 3 ) x (5²)

K.E = 37.5 J

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the universe is infinite in extent and will expand forever.

On the basis of our current best estimate of the present mass density of the universe, astronomers think that the universe is infinite in extent and will expand forever.

The includes as evidence for the big bang.

1) The universe is expanding, as observed.

2) Independent proof of the omnipresent nature of microwave radiation throughout space.

3) The universe has an average temperature of 2.7 Kelvin.

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Answer:

Objects with mass exert forces on each other via the force of gravity. This force is proportional to the mass of the two interacting objects, and is inversely proportional to the square of the distance between them. The factors G, M, and r are the same for all masses at the surface of the Earth.

a) If S is a subspace of vector space V, then the span of S, (S), is equal to S itself.

To show that if S⊆V, then (S) = S, we need to prove two inclusions:(i) (S) ⊆ S:
By definition, (S) is the smallest subspace of V that contains S. Since S⊆(S), it follows that every element in S is also in (S). Therefore, S is a subset of (S).(ii) S ⊆ (S):
Let's consider S as a subspace of V. Since S is already a subspace, it satisfies all the properties of a vector space, including closure under scalar multiplication and addition. Therefore, S is a subset of itself.
Combining both inclusions, we conclude that (S) = S.

b)The span of the union of subspaces W₁ and W₂, (W₁ ∪ W₂), is equal to the sum of W₁ and W₂, denoted by W₁ + W₂.

To show that (W₁ ∪ W₂) = W₁ + W₂, we need to prove two inclusions:
(i) (W₁ ∪ W₂) ⊆ W₁ + W₂:
Let's take an element x from (W₁ ∪ W₂). This means that x is an element of either W₁ or W₂ (or both). If x∈W₁, then x is in the subspace W₁, and therefore, it is also in the sum W₁ + W₂. Similarly, if x∈W₂, then x is in the subspace W₂, and hence it is also in the sum W₁ + W₂. Therefore, any element x from (W₁ ∪ W₂) is also in W₁ + W₂, which implies (W₁ ∪ W₂) ⊆ W₁ + W₂.
(ii) W₁ + W₂ ⊆ (W₁ ∪ W₂):
Let's take an element y from W₁ + W₂. By definition, this means that y can be expressed as the sum of an element in W₁ and an element in W₂. Therefore, y is either an element of W₁ or an element of W₂ (or both), and hence y is in the union (W₁ ∪ W₂). Therefore, any element y from W₁ + W₂ is also in (W₁ ∪ W₂), which implies W₁ + W₂ ⊆ (W₁ ∪ W₂).Combining both inclusions, we conclude that (W₁ ∪ W₂) = W₁ + W₂.

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Using the moment of inertia, the mass (m) of the sphere is found to be approximately 6.513 kg.

To find the mass of the sphere, we need to use the formulas for torque and rotational motion.

The formula for torque (τ) is given by:

τ = I × α

Where:

τ = Torque

I = Moment of inertia

α = Angular acceleration

The moment of inertia (I) for a solid sphere rotating about its center is given by:

I = (2/5) × m × r²

Where:

m = Mass of the sphere

r = Radius of the sphere

The formula for angular acceleration (α) is:

α = (ω - ω0) / t

Where:

ω = Final angular velocity

ω0 = Initial angular velocity

t = Time

First, we need to find the final angular velocity (ω) using the given information. We know that the sphere rotates through a total of 400 revolutions in 12.0 seconds. One revolution is equal to 2π radians, so the total angular displacement (θ) is:

θ = 400 revolutions × 2π radians/revolution

θ = 800π radians

The time (t) is given as 12.0 seconds. We can now calculate the final angular velocity:

ω = θ / t

ω = (800π radians) / (12.0 s)

ω ≈ 209.4395 rad/s

Since the sphere starts from rest, the initial angular velocity (ω0) is 0 rad/s. Plugging the values into the formula for angular acceleration:

α = (ω - ω0) / t

α = (209.4395 rad/s - 0 rad/s) / (12.0 s)

α ≈ 17.4533 rad/s²

Now, we can use the formula for torque to find the moment of inertia (I):

τ = I × α

30.0 m·N = I × 17.4533 rad/s²

Since the torque (τ) and angular acceleration (α) are given, we can solve for the moment of inertia (I). Rearranging the equation:

I = τ / α

I = 30.0 m·N / 17.4533 rad/s²

I ≈ 1.7204 kg·m²

Finally, we can use the moment of inertia to find the mass (m) of the sphere:

I = (2/5) × m × r²

1.7204 kg·m² = (2/5) × m × (0.8 m)²

Simplifying the equation:

m = (1.7204 kg·m²) / [(2/5) × (0.8 m)²]

m ≈ 6.513 kg

Therefore, the mass of the sphere is approximately 6.513 kg.

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Answer:

I don't know

Explanation:

because I'm not smart

The frequency of the light beam is 4.72 x 10¹⁴ Hz.

The frequency of light beam and wavelength of light is related in the following equations;

c = fλ

where;

f = c/λ

f = (3 x 10⁸) / (636 x 10⁻⁹)

f = 4.72 x 10¹⁴ Hz

Thus, the frequency of the light beam is 4.72 x 10¹⁴ Hz.

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Answer:

The value of Force is

\(f = 0.031n\)

Explanation:

Greetings!!!

Mass(m)= 0.005kg

Acceleration (a)= 6.2m/s²

Force= ?

Firstly, recall the Newton's second law.

substitute known variables into the equation.

Solve for Force.

If you have any questions or unclear ideas tag on comments.

Hope it helps!!!

The force of the bullet is  0.031 N.

The force of the bullet is calculated by applying Newton's second law of motion as shown below.

Mathematically, Newton's second law of motion is given as;

F = ma

where;

The force of the bullet is calculated as follows;

F = 0.005 kg  x  6.2 m/s²

F = 0.031 N

Thus, the force of the bullet is a function of the mass and the acceleration of the bullet.

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1 ) d. Equally accurate on both AC and DC supply.

2 ) c. Highly inductive.

Answer:

Explanation:

1- The correct answer is:

d. Equally accurate on both AC and DC supply

2- The correct answer is:

d. Non inductive

hope it helps!! :)

Answer:

Explanation:

Answer:

8m/s

Explanation:

because frequency×wavelength

Unpeeled hard-boiled eggs can last up to 2 hours at room temperature. However, it is recommended to refrigerate them within 2 hours to ensure food safety. Refrigerated hard-boiled eggs can last up to 7 days.

Unpeeled hard-boiled eggs, if left unrefrigerated, have a limited shelf life due to the potential growth of bacteria. It is generally recommended to store hard-boiled eggs in the refrigerator to maintain their freshness and reduce the risk of bacterial contamination. However, if they are left unrefrigerated, their safety and quality can be compromised.

Unrefrigerated hard-boiled eggs should not be kept at room temperature for more than two hours. Bacteria can multiply rapidly at temperatures between 40°F (4°C) and 140°F (60°C), and prolonged exposure to this temperature range can increase the risk of foodborne illness.

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Answer:

A simple pulley is a wheel with a rope that allows you to pull one end and have it lift whatever is on the other end. A modern, common example of this is a crane, often used in construction.

Explanation:

Use all of the listed words in any order in one sentence that makes scientific sense given below also using other words, including conjunctions.

(a) In the realm of science, Karl Popper's theory of falsification emphasizes the importance of making predictions that can be tested and potentially disproven, allowing for the advancement of knowledge, exemplified by my neighbor's groundbreaking research in the field.

(b) Lord Kelvin's contributions to nuclear physics led to the discovery of the gluon, a fundamental particle that mediates the strong force, enabling the understanding of quark interactions, much like the powerful engine of a car propelling it forward.

(c) The Higgs mechanism, responsible for breaking the symmetry in particle interactions, played a crucial role during cosmic inflation, shaping the flatness and horizon problems observed in the early universe, akin to the mysterious and captivating landscapes of a distant planet.

(d) During nucleosynthesis, the rapid fusion of elements within a stellar environment can produce heavy metals like gold, contrasting with the slower process found in supernovae explosions, where vast amounts of energy are released and dispersed throughout space, reminiscent of the metallic shine found in a precious metal.

(e) When galaxies collide, their spiral structures can be disrupted, resulting in the formation of elliptical or irregular galaxies, displaying peculiar configurations resembling the intricate patterns and textures found in a variety of foods.

(f) Through the analysis of emission and absorption lines using spectroscopy, scientists can deduce the heat distribution and identify elements present in a celestial object, such as a star or nebula, which contributes to the continuum of knowledge and understanding, much like the continuous presence of a beloved celebrity.

(g) Stephen Hawking's groundbreaking work on black holes shed light on the mysterious nature of dark matter and dark energy, unveiling the intricate relationship between matter, radiation, and energy, similar to the enigmatic properties observed on a distant planet.

(h) In the vast cosmos, stars come in various forms, ranging from massive giants to compact pulsars and even enigmatic quasars, each emitting their own unique spectrum of light, including shades of vibrant colors other than black or white, illuminating the cosmic tapestry with their brilliance.

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Answer:

The law of the conservation of mechanical energy states that the total mechanical energy of a closed system remains constant, unless there is work done by non-conservative forces or heat transfer to or from the system.

In other words, the law states that the sum of the kinetic energy (energy of motion) and potential energy (energy due to position) of a system remains constant as long as there are no non-conservative forces acting on the system. Non-conservative forces are forces that dissipate energy, such as friction and air resistance. If these forces are present, they will convert some of the mechanical energy of the system into other forms of energy, such as heat or sound.

For example, if you lift a book off the ground, you are doing work on the book, which increases its potential energy. At the same time, the kinetic energy of the book decreases, because it is not moving. If you then release the book, it will fall to the ground, converting its potential energy back into kinetic energy. If there are no non-conservative forces present, the sum of the kinetic energy and potential energy of the book will remain constant throughout this process. This is an example of the conservation of mechanical energy in action.

The law of the conservation of mechanical energy states that the total mechanical energy of an isolated system remains constant, unless external forces are present. This means that the sum of the kinetic energy and potential energy within the system will remain constant over time, unless the system is subjected to external forces such as friction or gravity. This law is based on the principle that energy cannot be created or destroyed, but rather it can only be transferred or transformed. Therefore, any changes in the mechanical energy of a system must be due to the transfer or transformation of energy from one form to another, rather than the creation or destruction of energy itself.

Answer:

Q=MC(dT)

m= 5kg

c= 400

dt= 33-15 = 18 = 291k

Explanation:

you put in and get q= 582000

now heat = power/time

58200=1000/time

theres time

Answer: The decomposition of H₂O₂ is a first-order reaction. Then, the reaction rate will be 2 times the original rate, if we double its concentration value.

Explanation: To find the answer, we need to know about the decomposition of H₂O₂.

                              2H₂O₂→ 2 H₂O+ O₂

                              Rate = k [H₂O₂]1

              Rate = rate constant × concentration of [H₂O₂]

         rate constant=k and the concentration of [H₂O₂] = 1[H₂O₂].

                              Rate = 2k [H₂O₂].

Thus, we can conclude that the rate of reaction will be 2 times the initial rate if we double the concentration.

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If we double the concentration value, the reaction rate will be twice as fast as before.

In order to determine the solution, we must understand how H2O2 breaks down.

                        2H₂O₂→ 2 H₂O+ O₂

                      Rate = [H2O2] k

                   Rate = rate constant × [H2O2] concentration

                           Rate = [H2O2] 2k.

As a result, we can infer that doubling the concentration will cause the reaction rate to double.

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Answer:

The period of a pendulum does not depend on the mass of the ball, but only on the length of the string.

Explanation:

Two pendula with different masses but the same length will have the same period. Two pendula with different lengths will different periods; the pendulum with the longer string will have the longer period.

Answer:

Elastic Potential Energy because a rubber band that is stretched has elastic potential energy, because when released, the rubber band will spring back toward its resting state, transferring the potential energy to kinetic energy in the process.

Explanation:

Answer:

2.7

Explanation:

The following data were obtained from the question:

Mass (m) of box = 100 Kg

Length (L) of ramp = 4 m

Height (H) of ramp = 1.5 m

Mechanical advantage (MA) of ramp =?

Mechanical advantage of a ramp is simply defined as the ratio of the length of the ramp to the height of the ramp. Mathematically, it is given by:

Mechanical Advantage = Lenght / height

MA= L/H

With the above formula, we can obtain the mechanical advantage of the ramp as follow:

Length (L) of ramp = 4 m

Height (H) of ramp = 1.5 m

Mechanical advantage (MA) of ramp =?

MA = 4/1.5

MA = 2.7

Therefore, the mechanical advantage of the ramp is 2.7

The expected result of the experiment is that the liquid air will boil because the extreme difference in temperature will cause heat to be transferred from the ice to the liquid air ( B ).

The temperature of the liquid air = - 200 °C

The temperature of the block of ice = - 12 °C

Since they are in a thermally insulated flask, the heat will be transferred until both the objects' temperature becomes equal. So the temperature of liquid air rises and the temperature of ice decreases. The boiling point of liquid air is - 194.35 °C. So the liquid air boils.

Option A would have been correct if the final statement was decrease in temperature and not increase in temperature. Option C is incorrect because the ice becomes colder. Option D is incorrect because liquid air will boil.

Therefore, the expected result of the experiment is that the liquid air will boil because the extreme difference in temperature will cause heat to be transferred from the ice to the liquid air and the molecules of the liquid air will begin to leave the liquid ( B ).

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Answer:

The given statement is false.

Explanation:

Answer:

Explanation:

The mass of the object can be found by using the formula

\(m = \frac{p}{v} \\ \)

p is the momentum

v is the velocity

From the question we have

\(m = \frac{10}{20} = \frac{1}{2} \\ \)

We have the final answer as

Hope this helps you

The wind turbine with a blade diameter of 25 m and an average wind velocity of 6 m/s has an average electric power output of 172.34 kW. For an annual operating time of 8000 hours, the turbine will produce approximately 1,378,720 kWh of electricity.

If sold at a price of $0.09/kWh, the revenue generated from the electricity produced by the turbine would be approximately $124,086.72. To calculate the average electric power output, we can use the formula:

\(\[P = \frac{1}{2} \times \text{{density of air}} \times A \times v^3 \times \text{{efficiency}}\]\)

Substituting the given values into the formula, we can calculate the average electric power output:

\(\[P = \frac{1}{2} \times 1.3 \, \text{{kg/m}}^3 \times \left(\frac{\pi}{4} \times (25 \, \text{{m}})^2\right) \times (6 \, \text{{m/s}})^3 \times 0.34 \approx 172340 \, \text{{watts}} \approx 172.34 \, \text{{kW}}\]\)

To determine the amount of electricity produced for an annual operating time of 8000 hours, we multiply the average electric power output by the operating time:

\(\[\text{{Electricity produced}} = P \times \text{{operating time}} = 172.34 \, \text{{kW}} \times 8000 \, \text{{h}} = 1,378,720 \, \text{{kWh}}\]\)

Finally, to calculate the revenue generated, we multiply the electricity produced by the selling price per kilowatt-hour:

\(\[\text{{Revenue}} = \text{{Electricity produced}} \times \text{{price per kWh}} = 1,378,720 \, \text{{kWh}} \times \$0.09/\text{{kWh}} \approx \$124,086.72\]\)

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An LED light bulb is favoured because it is more bright.

An LED light is favored over an incandescent light bulb because it is more bright than the incandescent bulb.

An LED is a light emitting diode. It is used widely for the production of light because it shows some advantages which include:

Many traditional lighting systems like the incandescent bulbs turn more than 90% of the energy which they use to heat, allocating only about  10% of energy to actual light production. LEDs emit almost no heat energy, and most of the light energy they emit is within the visible spectrum.

LEDs use much less energy than that of incandescent bulbs because the diode light is much more efficient, power-wise, than the filament light. LED bulbs use more than 75% less energy than those of incandescent lighting.

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Answer:

It would explode

Explanation:

you're welcome

Answer:

the collisions of air molecules against the wall of the can are stronger and more frequent

Answer:

Below

Explanation:

CO2 buildup during exercise stimulates respiration

Magnetism and electricity are intimately connected. An electric current is created by moving magnets and a magnetic field is created by moving electrons. These two powerful forces interact to create electromagnetism.

The particle motion known as an electric current begins when such an outside voltage is applied to one of the conductor's ends. The electrons with a negative charge that are drawn to the positive electrode of the externally applied electric as a result create an electric field around them.

When describing how much energy flows through a circuit as well as how it travels in an electrical circuits, the phrase "electric current" is often employed. It is measured in amperes (A).

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