an auditorium measures 30.0 m ✕ 15.0 m ✕ 5.0 m. the density of air is 1.20 kg/m3. (a) what is the volume of the room in cubic feet? 79458 correct: your answer is correct. ft3 (b) what is the weight of air in the room in pounds?

Answer:

250 Joules

Explanation:

The formula is KE = 1/2m*v^2

When a pendulum in the shape of a rod is held at one end and released from rest at an angle, it begins to oscillate about its equilibrium position.

The motion of the pendulum can be described by the simple harmonic motion equation:

θ = θ0*cos(ωt + φ)

where θ is the angle of the pendulum at time t, θ0 is the amplitude of the oscillation (i.e., the maximum angle from the equilibrium position), ω is the angular frequency of the oscillation, and φ is the phase angle.

The angular frequency of a simple pendulum depends on its length and the acceleration due to gravity.

However, the rod pendulum is a special case where the length is not well-defined, and the motion is affected by the mass distribution of the rod.

Therefore, the angular frequency of the rod pendulum is more complicated and depends on its moment of inertia and the torque due to gravity.

The period of oscillation T, which is the time for the pendulum to complete one full oscillation, is related to the angular frequency by:

T = 2π/ω

The period of a rod pendulum is typically longer than that of a simple pendulum with the same length, due to its more complex motion. However, the exact value of the period depends on the specific geometry and mass distribution of the rod.

In summary, when a rod pendulum is released from rest at an angle, it begins to oscillate about its equilibrium position with a complex motion that depends on the mass distribution of the rod.  The period of the oscillation is related to the angular frequency and is longer than that of a simple pendulum.

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Answer:

When thermal energy is added to a substance, its temperature increases, which can change its state from solid to liquid (melting), liquid to gas (vaporization), or solid to gas (sublimation). ... When the pressure exerted on a substance increases, it can cause the substance to condense.

Explanation:

Hope it will help use

Answer:

It improves mental clarity allowing you to think better

it allows you to take a break from studying and provides a healthy destressor

Alleviates feelings of stress

Explanation:

The direction of the force of sliding friction is always that of velocity of the object.

Moving against the surface's normal, the force of sliding friction acts in a direct proportion to the weight.

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When temperature of water rises, it stats moving from higher to lower temperature area - this  evidence supports that water can be thought of as a mass of moving particles .

The volume retention and conformity to the shape of a liquid's container are two of its most noticeable physical characteristics. When a liquid substance is poured into a container, it conforms to the shape of the container and will stay inside the container so long as the liquid state persists.

Water is a liquid. Hence, water can be thought of as a mass of moving particles.

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Potential and kinetic energy are at play when we talk about Newton's second law of motion through the various positions in relation to the bodies involved.

This law states that force is equal to the rate of change of momentum and is denoted as F = mv where m is mass and v is velocity.

Potential energy is the energy is possessed by a body by virtue of its position while kinetic energy is possessed by a body by virtue of its motion. Both forms of energy are influenced by forces and are equal to the total momentum.

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Answer:

When one system vibrating at its natural frequency is put closer to a stationary system, the stationary system receives impulses.

At resonant frequency, the system vibrating at its own natural frequency suddenly goes on decreasing in order to cope with neighboring system.

These decrease in frequency is known as damping.

Answer:2AgI + Na2S → Ag2S + 2NaI I am pretty sure this is the answer

Explanation:

Answer:

Srry for the delay but this might help ppl in the future

Explanation:

PEACE OUT!

The three options are 1,3 and 5 Moving the balls closer together. The distance decreases and forces increase.

The gravitational force ia s type of force has the ability attracts any two objects with mass. Gravitational force tries to pull two masses towards each other.

The value of the gravitational force is given by;

\(F_g=\frac{ Gm_ 1m_2}{r^2}\)

It is observed that the gravitational force is directly propotional to the product of mass and inversly propotional to the square of the distance between them.

So, the correct options are :

(1) Moving the balls closer together. The distance decreases and forces increase.

(3) Wrapping the soccer ball in layers of duct tape will also increase force because the mass will increase.

(5) Similarly, putting the baseball in a plastic case will increase mass, and hence force increases.

Hence the three options are 1,3 and 5.

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Answer:

Real Image

Explanation:

Images which are formed on the screen by the actual intersection of light rays are called real images.

Answer:

Explanation:

hope this helps you.

will give the brainliest!

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Answer:

4.44m/s

Explanation:

Average speed is the total distance covered within a given period of time.

From the quantities given;

Number of laps  = 4 laps

Length of each lap  = 400m

Time taken to complete race  = 6minutes

Unknown:

Average speed  = ?

Solution:

 Her average speed is given as:

      Average speed  = \(\frac{number of laps x length of lap}{time}\)

We need to convert time to seconds;

         60s  = 1 min;

        6 minute = 60 x 6  = 360s

  Average speed  = \(\frac{4 x 400}{360}\)   = 4.44m/s

Answer:

true

Explanation:

this is true, igneous rocks are formed from molten lava when it cools

Answer: True

Explanation:

Answer:

A. Schwann cells

Explanation:

Receiving 14 complaints of Diarrhea, First the manager should  Gather information, Document the complaints, Take immediate action,  Investigate potential sources,  Report to the appropriate authorities, Communicate with staff, and Monitor and address ongoing concerns.

When a food manager receives calls from 14 people complaining of diarrhea symptoms, the first priority is to take immediate action to ensure the health and safety of the affected individuals and prevent further cases. Here's what the manager should do:

1. Gather information: Engage in a thorough conversation with each person to gather essential details. Inquire about the onset and duration of symptoms, specific food items consumed, time of consumption, and any other pertinent information. This information can help identify potential common factors and sources of contamination.

2. Document the complaints: Maintain a detailed record of each complaint, including the individual's name, contact information, symptoms, and relevant information about the implicated food items. This documentation will be crucial for investigation and potential reporting requirements.

3. Take immediate action: Implement necessary precautions to protect public health. If the affected individuals consumed food from the same establishment, the manager should consider taking steps such as temporarily halting food service, isolating potentially contaminated food items, and ensuring proper sanitation practices.

4. Investigate potential sources: Review food handling, preparation, and storage practices within the establishment. Identify any potential areas where food contamination could have occurred, such as cross-contamination, improper temperature control, or inadequate hygiene practices.

5. Report to the appropriate authorities: Depending on local regulations, the manager may be required to report the incident to the local health department or regulatory agency. Follow the established procedures for reporting foodborne illness outbreaks.

6. Communicate with staff: Inform the staff about the situation and reinforce the importance of strict adherence to food safety protocols. Emphasize proper handwashing, temperature control, and prevention of cross-contamination.

7. Monitor and address ongoing concerns: Stay in touch with the affected individuals to track the progression of symptoms and ensure they receive appropriate medical care. Address any additional complaints promptly and investigate further if needed.

Remember, swift and efficient action is crucial to mitigate the impact of a potential foodborne illness outbreak. The food manager should collaborate with relevant authorities, follow local regulations, and prioritize the health and safety of the affected individuals and the general public.

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The lever is in equilibrium, and is considered massless. all pulleys are massless and frictionless. the slanted string is:: Tensioned.

In an equilibrium state, all forces acting on the system must balance each other out.

In this case, since the lever is in equilibrium and the pulleys are massless and frictionless, the tension in the string is responsible for maintaining the balance.

The tension in the slanted string is crucial for transmitting the force applied at one end of the lever to the other end, allowing for the equilibrium of the lever system. The tension force acts along the string and is directed away from the pivot point of the lever.

By maintaining tension in the string, the force applied to one end of the lever is transmitted to the other end, allowing for the lever to remain in a stable position.

The tension in the string counterbalances the other forces acting on the lever, such as the weight of the masses or external forces applied.

Therefore, the slanted string is an essential component in achieving equilibrium in the lever system and is under tension to maintain stability.

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20 joule is your answer

Answer:

here

mass m =100kg

distance d=50m

acceleration due to gravity a =10m/s²

work =force×displacement

= ma/d=100×10/50=20joule

The final velocity of the race car in m/s calculated with the help Newton's first equation of motion is 35 m/s.

What is Newton's first equation of motion?

The first equation of motion given by Newton is v = u + at. This equation is also referred as the velocity-time relation.

According to Newton's first equation of motion,

v = u + at

where, v = final velocity, u = initial velocity, a = acceleration, t = time taken.

As given in question,

u = 90 km/h = 90 km/h / 3.6 = 25 m/s,

a = 5 m/s^2,

t = 2 seconds,

So, putting the values given in question the the Newton's first equation of motion.

v = u + at

v = 25+(5x2)

v = 25+10

v = 35 m/s

Hence, the final velocity is 35 m/s.

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Answer:

D. X-rays

Explanation:

the other ones could either damage your tissue or they're not used to "scan" organisms

She travelled in one third of time=160km

Total distance=160×3=480km

Time=6h

\(\\ \bull\tt\dashrightarrow Velocity=\dfrac{Displacement}{Time}\)

\(\\ \bull\tt\dashrightarrow Velocity=\dfrac{480}{6}\)

\(\\ \bull\tt\dashrightarrow Velocity=80km/h\)

Answer: 160km

Explanation:

Answer:

0.6

Explanation:

Answer:

quantity A is mass and quantity B is wright

Answer:

The potential area of wind power in the country is about 6074 sq. km with wind power density greater than 300 watt/m2. More than 3,000 MW of electricity could be generated at 5 MW per sq km. The commercially viable wind potential of the country is estimated to be only about 448 MW.

Answer:

P = 22 watts

Explanation:

Given that,

The output power of the generator = 2 a

The output potential difference = 11 V

We need to find the output power of the generator. The formula for the output power is given by :

\(P=V\times I\\\\P=11\times 2\\\\P=22\ W\)

So, the output power of the generator is equal to 22 Watts.

The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)

The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.

To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).

The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).

In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).

Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.

If co > co_critical, the system is considered overdamped (Option E).

If co = co_critical, the system is considered critically damped (Option D).

If co < co_critical, the system is considered underdamped (Option C).

Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.

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The ratio of the time it takes the satellite circling mars to make one revolution divided by the time it takes the satellite orbiting the earth to make one revolution is (Rm/Re)^3/2.(Me/Mm)^1/2

The orbital velocity of the satellite is given by,

V = √(GM/R)

Where,

V is orbital velocity,

G is gravitational constant,

M is the mass of planet,

R is the distance from the centre of the planet to the satellite.

According to given condition,

Ve = √(GMe/Re)

Ve it the orbital velocity of earth,

Me is mass of the earth,

Re is the radius of the earth.

Also,

Vm = √(GMm/Rm)

Vm it the orbital velocity of mars,

Mm is mass of the mars,

Rm is the radius of the mars.

We know, time period of revolution,

T = distance/velocity

Time period od revolution of satelite of earth,

Te = 2πRe/√(GMe/Re)

Time period of revolution of satelite of mars,

Tm = 2πRm/√(GMm/Rm)

Now, dividing the time time period of revolution of mars by time period of revolution of earth,

Te/Tm = [2πRe/√(GMe/Re)]/[2πRm/√(GMm/Rm)]

Te/Tm = (Rm/Re)^3/2.(Me/Mm)^1/2

So the final ratio of both the time periods is (Rm/Re)^3/2.(Me/Mm)^1/2.

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Answer:

The period (T) of a satellite in a circular orbit can be determined using the formula:

T = 2πr/v

where r is the radius of the orbit and v is the speed of the satellite.

We can rearrange this formula to solve for v:

v = 2πr/T

Substituting the given values, we get:

v = 2π(3.5 × 10^7 m)/(6.3 h × 3600 s/h) ≈ 5,099 m/s

The centripetal force (F) that keeps the satellite in orbit is given by:

F = mv^2/r

where m is the mass of the satellite.

The gravitational force (Fg) between the satellite and Roton is given by:

Fg = GmM/R^2

where G is the gravitational constant, M is the mass of Roton, and R is the radius of Roton.

Since the satellite is in a circular orbit, the centripetal force is equal to the gravitational force:

mv^2/r = GmM/R^2

Simplifying and solving for M, we get:

M = v^2r/GR^2

Substituting the given values, we get:

M = (5,099 m/s)^2 × 3.5 × 10^7 m/(6.674 × 10^-11 m^3/kg s^2) × (1.75 × 10^7 m)^2 ≈ 8.35 × 10^23 kg

The free-fall acceleration (g) on the surface of Roton is given by:

g = GM/R^2

Substituting the calculated value of M and the given value of R, we get:

g = (6.674 × 10^-11 m^3/kg s^2) × (8.35 × 10^23 kg)/(1.75 × 10^7 m)^2 ≈ 8.73 m/s^2

Therefore, the magnitude of the free-fall acceleration on the surface of Roton is approximately 8.73 m/s^2