What is the gravitational potential energy of a 2100 kg car at the top of an 18 m parking garage?

Answer:

Answer:

I would say the answer is false because you need to watch where you're going and you can't do that when you're head is down. Also I think that If you're hiking you would want to enjoy a hiking trip so you would want to enjoy the time you have and want to explore. But that's just my opinion.

Explanation: Hope this helps:)

Also I don't know if this is what you were asking for if so I'm glad.......if not then I'm sorry

The minimum area for a pool and deck built as in the application such that the pool's area is 1800 square meters is \(1400 \mathrm{~m}^2\)

Let ' l ' be the length of the pool and ' b ' be the breadth of the pool.

\($\Rightarrow l \times b=1800$\)

This gives:

Length of Total area (deck and pool)

\($=(l+5+5) \mathrm{m}$\)

Breadth of Total area (deck and pool )

\(=(b+10+10) m$\)

Area of Total space (deck and pool)

\($=(l+10)(b+20)$\)

Area:

\($=(l+10)\left(\frac{1800}{l}+20\right)$\)

\(A(l)=1800+20 l+\frac{18000}{l}+200$\)

Our aim is to minimize A(l), for this put \(A^{\prime}(l)=0$\)

\(\Rightarrow 20-\frac{18000}{l^2}=0\\ \Rightarrow \frac{1800 \phi}{l^2}=2 x \\\Rightarrow l^2=900$\\$\Rightarrow l=\pm 30$.\)

But length can not be negative

\(\Rightarrow l=30 \mathrm{~m} \\\Rightarrow b=\frac{1800}{300}=60$ m\)

Now:

\(A^{\prime \prime}(l)=-\frac{18000}{l^3} \times\left(-2 l^{-3}\right)=\frac{36000}{l^{\prime \prime}}$\\$\Rightarrow A^{\prime \prime}(t=30)=\frac{36000}{(30)^3} > 0$\)

Therefore  \(A(l)$\) is minimum for l=30 m.

Hence minimum area:

\(=A(l=30)=(30+10)(60+20) \mathrm{m}$\\\\=40 \times 80 \mathrm{~m}^2$\\\\=3200 \mathrm{~m}^2$$\)

And minimum area of deck:

\(=(3200-1800) \mathrm{m}^2 \\& =1400 \mathrm{~m}^2\end{aligned}$$\)

Therefore the minimum area of deck is \(1400 \mathrm{~m}^2\)

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Answer:

In my opinion, I think we do change when people come to our lives because the way we feel around people makes us feel a certain way around all people in our lives in a good way. They can change our lives by being there and helping us physically and mentally. We do have the choice to follow what someone is trying to change us. Example if we have a problem like addiction, we can choose to get help from anyone or choose not to. Traumas can affect us, but we need to seek help to not fear those problems anymore, thats why people who care about us really want us to change our way of health, addictions, and mental health. For me, as a child my dad was deported because he got a dui and decided for as punishment to be deported or to have a life sentence in the U.S. My mom suffered addiction to drugs and alcohol. I lived with my grandparents for almost my whole childhood untill the age of 9. Then my aunt got engaged and my new uncle decided to take us in because DC.S foound out that me and my other sibling weren't in school at all. Like we never attended school. So we were going to be seperated and taken for adoption untill my uncle had the heart to adopt us and here I am today. He gave us a better life because I finally experienced school,clothes, food, and a safer place to live. All the things I went through even abuse. He changed my life and we changed his. He cares about us, we helped him quit drinking, and that impacts him a lot to open up his heart and quit drinking.

Explanation:

Answer:

2=2

Explanation:

Answer:

It takes 21.7 seconds for Skid to reach the edge of the pond.

Explanation:

We can calculate the time that takes Skid to reach the edge of the pond by conservation of linear momentum:

\( p_{i} = p_{f} \)

\( m_{1}v_{1_{i}} + m_{2}v_{2_{i}} = m_{1}v_{1_{f}} - m_{2}v_{2_{f}} \)  (1)

Where:

m₁: is the Skid's mass

m₂: is the book's mass = 2.6 kg

\(v_{1_{i}}\): is the initial speed of Skid = 0 (he was at rest)

\(v_{2_{i}}\): is the initial speed of the book = 0 (it was at rest)

\(v_{1_{f}}\): is the final speed of Skid =?

\(v_{2_{f}}\): is the final speed of the book = 4 m/s. This value is negative since it is moving in the opposite direction of Skid.

First, we need to calculate Skid's mass.  

\( m_{1} = \frac{P}{g} \)

Where:

P: is the weight of Skid = 440 N

g: is the acceleration due to gravity  = 9.81 m/s²

\( m_{1} = \frac{P}{g} =\frac{440 N}{9.81 m/s^{2}} = 44.8 kg \)

Now, we can find the speed of Skid from equation (1):

\( 0 = 44.8 kg*v_{1_{f}} - 2.6 kg*4 m/s \)          

\( v_{1_{f}} = \frac{2.6 kg*4 m/s}{44.8 kg} = 0.23 m/s \)

Finally, the time to reach the edge can be found by using the following equation:

\( v_{1_{f}} = \frac{d}{t} \)

Where:

d: is the distance = radius = 5 m

t: is the time =?

\( t = \frac{d}{v_{1_{f}}} = \frac{5 m}{0.23 m/s} = 21.7 s \)

Therefore, it takes 21.7 seconds for Skid to reach the edge of the pond.

I hope it helps you!  

Answer:

Total Energy consumed = 146.94 kwh

Total cost = rs 587.76

Explanation:

Given:

3 bulbs each 60 watt [for 3 hours daily]

4 fans each 100 watt [for 8 hours daily

1 electric heater of 2 kWh (2,000 watt) [for half hour daily ]

Rate = rs 4/Kwh

Find:

Total Energy consumed

Total cost

Computation:

Energy used = Power × time

3 bulbs each 60 watt [for 3 hours daily]  = 3 x 60 x 3 x 31 = 16,740 watt = 16.74 kw

4 fans each 100 watt [for 8 hours daily  = 4 x 100 x 8 x 31 = 99,200 watt = 99.2 kw

1 electric heater of 2 kWh [for half hour daily ] = 1 x 2000 x (1/2) x 31 = 31,000 watt = 31 kw

Total Energy consumed = 16.74 + 99.2 + 31

Total Energy consumed = 146.94 kwh

Total cost = 146.94 x 4

Total cost = rs 587.76

In the opposite figure, the work done by the force F to push the box upwards from the ground to the top of the inclined plane is 600 J.Option c is correct.

Work done is defined as the product of applied force and the distance through which the body is displaced on which the force is applied.

The displacement value from the triangle is;

\(\rm sin 30^0 = \frac{P}{H} \\\\ H=S =\frac{3 \ m}{sin 30^0} \\\\ S = 6\ m\)

The work done is found as ;

\(\rm W= Fd \\\\ W = 100 \ N \times 6 \\\\ W= 600 \ J\)

The force F in the opposing figure does 600 J of effort to lift the box from the ground to the top of the inclined plane.

Hence option c is correct.

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Answer:

i like trains 45654

Explanation:

Answer:

Explanation:

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

\(m = \frac{f}{a} \\ \)

f is the force

a is the acceleration

From the question we have

\(m = \frac{11968}{8.8} \\ \)

We have the final answer as

Hope this helps you

Answer:

\(\displaystyle 1360\:kg.\)

Explanation:

\(\displaystyle am = F_{net} \\ \\ \frac{11968}{8,8} = \frac{8,8m}{8,8} \\ \\ \boxed{1360 = m}\)

I am joyous to assist you at any time.

Sound waves are longitudinal waves. Hence, option (C) is correct.

Longitudinal waves are waves in which the displacement of the medium is in the same (or the opposite) direction as the wave propagation and the medium vibration is parallel ("along") to the direction the wave travels. Because they create compression and rarefaction when passing through a material, mechanical longitudinal waves are also known as compressional or compression waves.

They are also known as pressure waves because they cause pressure changes. Examples from the real world include seismic P-waves (created by earthquakes and explosions)and sound waves (which are the oscillations in pressure, a particle's displacement, and a particle's velocity).

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The vector field that expresses the density of induced or permanent electric dipole moments in a dielectric medium is known as polarization density (also known as electric polarization or just polarization).

Thus, A dielectric is considered to be polarized when its molecules acquire an electric dipole moment when exposed to an external electric field.

Electric polarization of the dielectric is the term used to describe the electric dipole moment induced per unit volume of the dielectric material.

The forces that emerge from these interactions can be calculated using the polarization density, which also defines how a material reacts to an applied electric field and how it modifies the electric field. It is comparable to magnetization, which measures a material's equivalent response.

Thus, The vector field that expresses the density of induced or permanent electric dipole moments in a dielectric medium is known as polarization density (also known as electric polarization or just polarization).

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One of the primary characteristics present in situations in which management science techniques are applied is that the management problems have only a few variables. Thus, the correct option is A.

Management science is important while doing any research, business, or study because it helps the organizations in identification of the issues which they need to solve, streamline management efforts, use resources more effectively, and also develop roadmaps for achieving the set goals.

Management problems are studied and these are so complicated that managers need help to analyze a large number of variables before doing  any research.

Therefore, the correct option is A.

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Your question is incomplete, most probably the complete question is:

One of the primary characteristics present in situations in which management science techniques are applied is ________.

A) that the management problems have only a few variables

B) that the situation deals with quantifiable factors such as sales

C) that the situation deals with the physiological, safety, social, esteem, and self-actualization needs of organization members

D) that the situation deals with assessing qualitative factors of the workplace or environment

E) that social implications are the guidelines for making a particular decision

Answer: λ (wavelength) = 3.3 m →  ΔS = 3.3 m

v (speed) = 5.6 m/s → ΔV = 5.6 m/s

T (period) → ΔT = ?

f (frequency) = ?

If:

Now: (if, ΔT = T), Using the formula of the period of a wave, find the frequency:

Explanation: Your Welcome u.u

The frequency of this wave is approximately 1.697 Hz.

To find the frequency of a wave, we can use the formula:

frequency (f) = speed (v) / wavelength (λ)

Given:

Wavelength (λ) = 3.3 m

Speed (v) = 5.6 m/s

Substituting these values into the formula, we can calculate the frequency:

f = v / λ

f = 5.6 m/s / 3.3 m

f ≈ 1.697 Hz

Therefore, the frequency of this wave is approximately 1.697 Hz.

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Answer:

c. Impulse

Explanation:

Answer:

15.88m/s

Explanation:

At the top of the roller coaster you will have three forces acting on the roller-coaster. See the image below. Fc is the centripetal force (for an object in circular motion), Fg is the gravitational force, and Fn is the normal force. To achieve the minimum speed we assume the roller-coaster is barely touching the vertical loop and so the normal force is zero. This leaves two acting forces.

\(F_g = F_c\\mg = \frac{m\times v^2}{r}\\v = \sqrt{gr} = \sqrt{9.81 \times 25.7} = 15.88 m/s\)

The resulting amplitude of the two waves is 1.25 m

When two waves of different amplitudes interfere, the resulting wave pattern is determined by the relative phase and amplitude of the two waves. If the two waves are in phase, meaning that their peaks and troughs line up, they will reinforce each other and produce a wave with a larger amplitude. This is known as constructive interference.

In this case the amplitude of the resulting wave would be a combination of two amplitudes of the waves and that would be 1.25 m

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(a) The amplitude of the wave is 0.2 m.

(b) The period of the wave is  4 s.

(c) The wavelength of the wave is 100 m.

(a) The amplitude of the wave is the maximum displacement of the wave.

amplitude of the wave = 0.2 m

(b) The period of the wave is the time taken for the wave to make one complete cycle.

period of the wave = 5.5 s - 1.5 s = 4 s

(c) The wavelength of the wave is calculated as follows;

λ = v / f

where;

f = 1/t = 1 / 4s = 0.25 Hz

λ = ( 25 m/s ) / 0.25 Hz

λ = 100 m

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The time interval between the man clapping and hearing his echo is approximately 1.75 seconds.

An echo is a repetition or reflection of a sound or signal. It can be caused by sound waves bouncing off a surface, signal interference, or the repetition of a message in communication.

The speed of sound in air at room temperature is approximately 343 meters per second. When a person claps, the sound waves propagate outward in all directions and reach the school building, where they bounce off and return to the person as an echo. The time it takes for the sound to travel the distance to the building and back to the person is the time interval between the clap and the echo.

To calculate the time interval, we can use the following formula:

time = distance / speed

where distance is the total distance traveled by the sound (twice the distance from the person to the school building), and speed is the speed of sound in air.

distance = 2 x 300m = 600m

speed = 343 m/s

time = 600m / 343 m/s = 1.75 seconds (rounded to two decimal places)

Therefore, the time interval between the man clapping and hearing his echo is approximately 1.75 seconds.

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Answer:

false

Explanation:

Answer:

false

Explanation:

edge

Answer:

r = 0.405m = 40.5cm

Explanation:

In order to calculate the length of the string between Wanda and the ball, you take into account that the tension force is equal to the centripetal force over the ball. So, you can use the following formula:

\(F_c=ma_c=m\frac{v^2}{r}\)       (1)

Fc: centripetal acceleration (tension force on the string) = 12N

m: mass of the ball = 60g = 0.06kg

r: length of the string = ?

v: linear speed of the ball = 9.0m/s

You solve for r in the equation (1) and replace the values of the other parameters:

\(r=\frac{mv^2}{F_c}=\frac{(0.06kg)(9.0m/s)^2}{12N}=0.405m\)

The length of the string between Wanda and the ball is 0.405m = 40.5cm

Answer:

a. v = 340.27 m/s

b. t = 0.15 s

Explanation:

a.

The speed of sound at any given temperature can be found out by the use of the following formula:

\(v = (331\ m/s)\sqrt{\frac{T}{273\ k}}\)

where,

T = Absolute temperature = 15.5°C + 273 = 288.5 k

therefore,

\(v = (331\ m/s)\sqrt{\frac{288.5\ k}{273\ k}}\)

v = 340.27 m/s

b.

The time of echo to return can be found by the following formula:

\(s = vt\\\\t = \frac{s}{v}\)

where,

t = time = ?

s = distance = (2)(25 m) = 50 m

v = speed of sound = 340.27 m/s

Therefore,

\(t = \frac{50\ m}{340.27\ m/s}\)

t = 0.15 s

Nuclear power plants have backup generators to ensure that essential equipment, such as cooling systems, can continue to function in the event of a power outage or other emergency.

Nuclear power plants rely on a constant supply of electricity to operate the equipment that controls the nuclear reaction and cools the reactor. If the power supply is interrupted, the reactor can overheat and damage can occur. Backup generators provide power to essential equipment, such as cooling systems, that keep the reactor and spent fuel pools from overheating.  If the backup generators fail, there is a risk of a nuclear accident, as was seen in the disaster in 2011, where the failure of backup generators led to a loss of cooling and a major nuclear incident.

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At 30°C, the rms speed of a sample of oxygen with a molar mass of 16 g/mol is approximately 482.34 m/s.

The root mean square (rms) speed of a gas molecule is a measure of the average speed of the gas particles in a sample. It can be calculated using the formula:

vrms = √(3kT/m)

Where:

vrms is the rms speed

k is the Boltzmann constant (1.38 x 10^-23 J/K)

T is the temperature in Kelvin

m is the molar mass of the gas in kilograms

To calculate the rms speed of oxygen at 30°C (303 Kelvin) with a molar mass of 16 g/mol, we need to convert the molar mass to kilograms by dividing it by 1000:

m = 16 g/mol = 0.016 kg/mol

Substituting the values into the formula, we have:

vrms = √((3 * 1.38 x 10^-23 J/K * 303 K) / (0.016 kg/mol))

Calculating this expression yields the rms speed of the oxygen sample:

vrms ≈ 482.34 m/s

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The mass of a material with density is required to make a hollow spherical shell having an inner radius of r1 and an outer radius of r2 is given as \(\frac{4\pi.p(r^3_2-r^3_1)}{3}\)

The amount of anything in relation to a unit of volume, area, or length: as. : the substance's mass in relation to its volume. grams per cubic centimeter is a unit of density.

The volume of a spherical shell can be calculated from:

V= \(V_o - V_1 = \frac{4}{3}\pi(r^3_2 - r^3_1)\)

From the definition of density, ρ = m/v

So,

m = pv = p\((\frac{4}{3} \pi)\)\((r^3_2 - r^3_1)\) = \(\frac{4\pi.p(r^3_2-r^3_1)}{3}\)

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The total equivalent resistance for the circuit is 35.89 Ω

First, we shall determine the equivalence resistance between 30 Ω and 40 Ω. Details below:

R = (R₁ × R₂) / (R₁ + R₂)

R = (30 × 40) / (30 + 40)

R = 17.14 Ω

Next, we shall determine the equivalence resistance between 20 Ω and 10 Ω. Details below:

R = R₁ + R₂

R = 20 + 10

R = 30 Ω

Next, we shall determine the equivalence resistance between 50 Ω and the equivalence of 20 Ω and 10 Ω (i.e 30 Ω). Details below:

R = (R₁ × R₂) / (R₁ + R₂)

R = (50 × 30) / (50 + 30)

R = 18.75 Ω

Finally, we shall determine the total equivalent resistance for the circuit. Details below:

Total equivalent resistance = 17.14 + 18.75

Total equivalent resistance = 35.89 Ω

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Answer:

All of the objects in the solar system orbit the

Explanation:

sun

The neighbour weighs Iron. As he is a blacksmith, iron is the only thing he weighs the whole day.

A riddle is a statement, question or phrase having a double or veiled meaning, put forth as a puzzle to be solved.

If Robert, your neighbor, a forty-five-year-old blacksmith is seven feet tall, and eats all day long, based on these statements, we can explain the riddle as Robert weighs iron for the fact that he  is a blacksmith, iron is the only thing he weighs the whole day.

Thus, the correct explanation for the riddle is " The neighbour weighs Iron. As he is a blacksmith, iron is the only thing he weighs the whole day.

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The water flow rate from the faucet, assuming a steady flow, is approximately 0.0001608 cubic meters per second.

The phenomenon of a water stream "necking down" as it falls can be explained by the principle of conservation of mass. According to this principle, the flow rate of water remains constant throughout the system.

In the given figure, the water stream emerges from a faucet with an initial cross-sectional area of 1.8 cm² (Area one). As the water falls, it narrows down to a smaller cross-sectional area of 0.3 cm² (Area two) at a height of 25 cm.

To calculate the water flow rate assuming steady flow, we can use the formula:

Flow rate = A₁√(2gh) / A₁² - A₂²

Where A₁ and A₂ are the initial and final cross-sectional areas, respectively, g is the acceleration due to gravity, and h is the height of the water column.

Plugging in the given values, we have:

Flow rate = 1.8 cm² √(2 × 9.8 m/s² × 25 cm) / (1.8 cm²)² - (0.3 cm²)²

Converting the units to match, we get:

Flow rate = 0.018 m² √(2 × 9.8 m/s² × 0.25 m) / (0.018 m²)² - (0.003 m²)²

Simplifying the expression, we find:

Flow rate ≈ 0.0001608 m³/s

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