a ball of mass 2.0 kg is thrown vertically upward from the top of a building. the ball’s velocity v is given as a function of time t by the equation v(t)

Answers

Answer 1

The acceleration of the ball at t = 1.5 sec is -10 m/s².

The height of the building is 16 m.

The ball will reach maximum height after 0.2 seconds.

The mass of the ball is 2 kg.

The ball is thrown vertically from upwards top of the building.

Let the velocity of the ball is v and the total time taken by the ball be t.

Now, the velocity of the ball as a function of t is given as:

v(t) = 2 - 10t

The acceleration can be obtained by differentiating the velocity with respect to time.

Therefore,

a = dv/dt

a = d/dt ( 2 - 10t )

a = - 10 m/s²

When t = 1.5 sec

The acceleration of the ball is - 10 m/s².

(b) The ball reaches the ground at t = 2.0 sec.

Now, velocity can be defined as the differentiation of velocity with respect to time.

v(t) = dx/dt

dx/dt = 2 - 10t

dx = 2 - 10t

Now integration the above equation for limits x = 0 to x and time t = 0 to t = 2sec as the balls reached the ground in 2 seconds.

Then,

∫dx = ₀∫² [ 2- 10t]dt

x = [2t]₀² - [10t²/2]₀²

x = 4 - 20

x = -16 m

Therefore, the height of the building is 16 m.

(c) The ball will reach the maximum height when the instantaneous velocity is zero.

v(t) = 2 - 10t

0 = 2 - 10t

t = 2/10 = 0.2 sec

The ball will reach maximum height after 0.2 seconds.

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The complete question is mentioned below:

A ball of mass 2.0kg is thrown vertically upward from the top of a building. the ball velocity v is given as a function of time t by the equation v(t)= 2-10t. the positive direction is upward. what is the ball acceleration at time t = 1.5 complete. (b) if the ball reaches the ground at t=2.0s what is the height of the building? (c) at what time does the ball reach a maximum height above the building?


Related Questions

A tennis ball with a speed of 17.9 m/s is
moving perpendicular to a wall. After striking
the wall, the ball rebounds in the opposite
direction with a speed of 16.0026 m/s.
If the ball is in contact with the wall for
0.0084 s, what is the average acceleration of
the ball while it is in contact with the wall?
Take "toward the wall" to be the positive
direction.
Answer in units of m/s².

Answers

The acceleration of the ball while it is in contact with the wall is 4036.023 m/s²

ball strikes the wall at a speed of 17.9m/sec

after striking its goes in opposite direction with a speed of 16.0026m/sec

We have given that speed towards the wall is positive

So, u = 17.9m/sec

v = -16.0026m/sec

t = 0.0084 sec

We know that acceleration is given by

a = v-u/t

where

v = final speed

u = initial speed

t = time taken

a = v-u/t

a = 17.9 - (-16.0026) / 0.0084

a = 33.9026 / 0.0084

a = 4036.023 m/s²

So the acceleration of the ball while it is in contact with the wall is 4036.023 m/s²

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when discussing a particular body, the action forces are defined as those forces that directly affect the acceleration of that body. with this in mind, classify the forces acting on each object according to whether they are action forces or reaction forces. to simplify matters, ignore the friction acting on the front tires of the car. be sure to answer both parts of the question.

Answers

The force acting on a car will be an action type of force.

What is Newton's second law?

The effects of net force and mass on a material's acceleration are described by Newton's second law. Newton's second law is given as,

F = ma

Where m is the mass, a is the acceleration, and F is the force acting on a body.

The forces that actually affect a body's acceleration are referred to as the active forces when a specific body is under discussion. Ignore the resistance the car's front tires experience to make things easier.

A force of the action kind will be exerted on an automobile.

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what is the magnitude of the force (in newtons) exerted on a charge 1.4 mc by an electric field 211.1 n/c that points due east? your answer should be a number with four decimal places, do not include the unit.

Answers

The magnitude of the force is  295.54 x 10⁻³ N

Attraction betweem nucleus and electron is by electric force. Now, a positive or negative charge generates a field in the void surrounding it. We refer to this void as the electric field.

We know that , force can be found out by given formula

F = q × E where,

F = Force

q = Charge

E = Electric field

Here, the direction of Force is the same as that of the Electric field

Substituting the values, we get

F = 1.4 x 10⁻³ x 211.1

=295.54 x 10⁻³ N

Thus, the magnitude of force is 295.54 x 10⁻³ N

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The most soaring vocal melody is in Johann Sebastian Bach's Mass in B Minor. In one section, the basses, tenors, altos, and sopranos carry the melody from a low D to a high
A. In concert pitch, these notes are now assigned frequencies of 146.8Hz and 880.0 Hz . Find the wavelengths of(c) the initial note and

Answers

The wavelength of the initial note is 2.34m

What do you mean by the term wavelength?

The distance between two successive crests or troughs of a wave is known as its wavelength. It is measured in the wave's direction. The distance a wave travels between its crests or troughs is known as its wavelength (which may be an electromagnetic wave, a sound wave, or any other wave). The wave's crest is its highest point, while its dip is its lowest. Because a wavelength represents a distance or length, it is expressed in length units like meters, centimeters, millimeters, nanometers, etc. Light's wavelength changes with color, or it differs for each hue. While violet has the shortest wavelength, red has the longest.

wavelength = v/f

Given:

Initial frequency, [tex]f_{initial} = 146.8 Hz[/tex]

Final frequency, [tex]f_{final} = 880\;Hz[/tex]

Sound Level, [tex]\beta = 79\;dB[/tex]

We know that,

Speed of the sound, [tex]v=343\;m/s[/tex]

Density of air, [tex]\rho=1.2\;kg/m^{3}[/tex]

Wavelength, [tex]\lambda = \frac{v}{f}[/tex]

Wavelength of initial note is,

[tex]\lambda = \frac{v}{f_{initial} }[/tex]

Substitute the known values in the above equation,

[tex]\lambda = \frac{343}{146.8}[/tex]

[tex]\lambda = 2.34\;m[/tex]

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Review. (c) Assume the dipole is a compass needle-a light bar magnet-with a magnetic moment of magnitude μ . It has moment of inertia I about its center, where it is mounted on a frictionless, vertical axle, and it is placed in a horizontal magnetic field of magnitude B. Determine its frequency of oscillation.

Answers

The frequency of oscillation is [tex]\frac{1}{2\pi } \sqrt{\frac{\mu B}{I} }[/tex].

What is a magnetic moment?

The magnetic moment is the magnetism of a magnet or other item that creates a magnetic field, as well as its orientation and strength. Electromagnets, permanent magnets, elementary particles like electrons, different compounds, and a variety of celestial objects are examples of things that have magnetic moments (such as many planets, some moons, stars, etc). The phrase "magnetic moment" typically refers to a system's magnetic dipole moment, which can be represented by an analogous magnetic dipole, which has a magnetic north and south pole that are barely separated from one another. For sufficiently small magnets or at sufficiently wide distances, the magnetic dipole component is adequate. For extended objects, additional terms may be required in addition to the dipole moment, such as the magnetic quadrupole moment.

[tex]T = \frac{ Id^{2}\theta }{dt^{2} }[/tex]

[tex]-\mu B\theta=\frac{ Id^{2}\theta }{dt^{2} }[/tex]

[tex]\frac{d^{2}\theta }{dt^{2} } = -(\frac{\mu BI}{\theta} )[/tex]

By Comparing the above equation with the SHM equation

[tex]\frac{d^2 \theta} {dt^{2} } = -\omega^{2} \theta[/tex]

[tex]\omega^{2} =\frac{ \mu B}{I}[/tex]

Frequency = [tex]\frac{\mu}{2\pi }[/tex]

=[tex]\frac{\sqrt{\frac{\mu B}{I} } }{2\pi}[/tex]

=[tex]\frac{1}{2\pi } \sqrt{\frac{\mu B}{I} }[/tex]

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(ii) What happens to the field if instead the length of the solenoid is doubled, with the number of turns remaining the same? Choose from the same possibilities as in particular

Answers

Part A: Since the magnetic field is proportional to the number of turns per length (n), it follows that the magnetic field within the solenoid stays constant when both the number of turns and the length are doubled.

Answer C for portion B) is accurate; there are still the same number of turns per length.

What is the function of a solenoid?

A solenoid, to put it simply, transforms electrical energy into mechanical work. Many turns of tightly wound copper wire make up the coil. A powerful magnetic field or flux is produced when an electrical current passes through this wire.

Many turns of tightly wound copper wire make up the coil. A powerful magnetic field or flux is produced when an electrical current passes through this wire.

The housing, which is often composed of iron or steel, encloses the coil and concentrates the magnetic field it produces.

By concentrating the magnetic field, which generates the necessary mechanical force, the plunger is drawn to the stop.

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Why do you think that our model of the atom changed after rutherford’s experiment?.

Answers

Because according to Rutherford's atomic model electrons revolve around the nucleus and are not embedded in it just like plum in pudding. Therefore, it was J.J Thomson's model was rejected.

Rutherford disapproved the previous atomic model of J.J Thomson which suggested that electron are embedded in a positively charged nucleus like the plums in a pudding also known as plum pudding model.

He performed gold foil experiment to determine the atomic model.

However, after conducting the experiment he found that many electrons went starting without changing path.

Only few changed their path showing that atom has a dense massive structure called nucleus.

Thus, Rutherford model shows that electron are not embedded in the nucleus instead they revolve around it.

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A man on a scooter travels directly west for 50 meters, it took the man 45 seconds to reach his destination. What was his velocity?

Answers

Answer:

1.2 m/s

Explanation:

You must divide the distance by time in order to find velocity! 50/45. He was going 1.2 m/s!

Answer: 34

Explanation:

A guitar's steel string vibrates (see Fig. 31.5). The component of magnetic field perpendicular to the area of a pickup coil nearby is given byB=50.0+3.20 sin 1046 πtwhere B is in milliteslas and t is in seconds. The circular pickup coil has 30 turns and radius 2.70mm. Find the emf induced in the coil as a function of time.

Answers

The emf induced in the coil as a function of time is 2.2 mV.

emf induced in the coil

The emf induced in the coil is calculated as follows;

emf = NAdB/dt

where;

N is number of turnA is the area of the coildB/dt is the change in magnetic field with time

A is area of the coil, A = πr² = π(2.7 x 10⁻³)² = 2.29 x 10⁻⁵ m².

dB/dt = 3.2cos(1046π) = 3.2

emf = (30 x 2.29 x 10⁻⁵ x 3.2) = 2.2 x 10⁻³ V

emf = 2.2 mV

Thus, the emf induced in the coil as a function of time is 2.2 mV.

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in fig. 5-64, a force f of mag- nitude 12 n is applied to a fedex box of mass m2 ???? 1.0 kg. the force is directed up a plane tilted by u ???? 37°. the box is connected by a cord to a ups box of mass m1 ????3.0kg on the floor. the floor, plane, and pulley are frictionless, and the masses of the pulley and cord are negligible. what is the tension in the cord?

Answers

The tension in the cord is 4.6 N

Applying Newton's Second Law to each box:

According to Newton's second law, an object's acceleration is determined by two factors: the net force acting on the object and the mass of the object.

So, if we chose the positive +x uphill for the FedEx box of mass m2= 1.0 kg and +ve axis for m1 = 3.0 kg such that their accelerations have the same magnitude.

As we apply Newton's second law to each box, we discover that:

[tex]\mathbf{F - T -m_2gsin\theta = m_2a}[/tex]

where;

[tex]\mathbf{T=m_1a}[/tex]

Thus, the first equation can be rewritten as:

[tex]\mathbf{F-m_2gsin\theta = (m_1+m_2)a}[/tex]

Now, the acceleration moving in the same direction can be computed as:

[tex]\mathbf{a=\dfrac{12N (1.0 kg)(9.8 \ m/s^2)sin 37^0}{(1.0+3.0)kg}}[/tex]

a = 1.53 m/s²

Finally, the tension [tex]\mathbf{T=m_1a}[/tex] = (3.0 kg) (1.53 m/s²)

= 4.6 N

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the force that gravitation exerts upon a body, equal to the mass of the body times the local acceleration of gravity

Answers

The force that gravitation exerts upon a body, equal to the mass of the body times the local acceleration of gravity is known as weight.

Weight is the force of gravity acting on a body.

The formula is :

                                W =mg

Here,

W is the weight or force acting on the body. m is the mass of the body, and g is the gravitational acceleration.

Since weight is also a force, so its SI unit is also newton. The value of weight varies from place to place depending on the gravity. Its value can also be equal to zero.

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When the volume of gas in the syringe was 45 cm3, the pressure gauge showed a value of 60 kPa.
Calculate the pressure in the gas when the volume of gas in the syringe was 40 cm3.

Answers

The Pressure of gas in the syringe when at an initial pressure of 60 kPa and when the volume decreased from 45 cm³ to 40 cm³ is 67.5 kPa.

What is pressure?

Pressure can be defined as the force acting perperdicular per unit area to the surface of an object.

To calculate the pressure in the gas, we use the formula below

Formula:

PV = P'V'............ Equation 1

Where:

P = Initial pressureV = Initial volumeP' = Final pressureV' = Final volume.

Make P' the subject of the equation

P' = PV/V'........... Equation 2

From the question,

Given:

P = 60 kPaV = 45 cm³V' = 40 cm³

Substitute these values into equation 2

P' = (60×45)/40P' = 67.5 kPa

Hence, the pressure of the gas is 67.5 kPa.

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A 55.0-kg woman cheats on her diet and eats a 540 Calorie ( 540 kcal ) jelly doughnut for breakfast. (c) If the human body is only 25.0% efficient in converting chemical potential energy to mechanical energy, how many steps must the woman climb to work off her breakfast?

Answers

The woman needs to climb a step of 1.05 m to work off her breakfast.

What is potential energy?

The potential energy of an object is the energy that is stored in the object due to its position above the ground level.

The potential energy of the woman can be used to determine the number of steps she needs to climb.

potential energy + heat energy = chemical energy

1 kcal = 4184 J

0.540 kcal = ?

= 2259.36 J

P.E = mgh

55 x 9.8 x h = 0.25(2259.36)

h = 1.05 m

Thus, the woman needs to climb a step of 1.05 m to work off her breakfast.

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If a cannonball were launched horizontally (launch angle of 0) with a speed of 35m/s from a height of 15m, how long would the cannonball remain in the air?

Answers

Since the cannonball was launched horizontally (launch angle of 0) with a speed of 35m/s from a height of 15m, the time the cannonball remains in the air is for 1.75 s

What is a projectile?

A projectile is an object that moves through air in a parabolic path

How long would the cannonball remain in the air?

Since the cannonball is a projectile and was launched horizontally (launch angle of 0) with a speed of 35m/s from a height of 15m, using the equation of motion y' - y = ut - 1/2gt² we find the time it takes the cannonball to reach the ground. or remain in the air

Since y' - y = ut - 1/2gt²  where

y' = ground level = 0 my = height cannonball is launched from = 15 m, u = initial vertical speed of cannonball = 0 m/s (since it is launched horizontally), t = time cannonball is in the air, g = acceleration due to gravity = 9.8 m/s²

Substituting the values of the variables into the equation and solving for t, we have

y' - y = ut - 1/2gt²  

0 m - 15 m = 0 m/s × t - 1/2 (9.8 m/s²)t²  

- 15 m = 0 m/s - (4.9 m/s²)t²  

- 15 m = - (4.9 m/s²)t²  

t² = -15 m/- (4.9 m/s²)

t² = 3.061 s²

t = √3.061 s²

t = 1.75 s

So, the time the cannonball remains in the air is for 1.75 s

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GP Submarine A travels horizontally at 11.0 m/s through ocean water. It emits a sonar signal of frequency f = 5.27× 10³Hz in the forward direction. Submarine B is in front of submarine A and traveling at 3.00 m/s relative to the water in the same direction as submarine A. A crewman in submarine B uses his equipment to detect the sound waves ("pings") from submarine A. We wish to determine what is heard by the crewman in submarine B. (c) In Equation 17.19 , should the sign of v(O) be positive or negative?

Answers

The sign of v(O) is positive.

What is frequency in physics?

Recurrence is the quantity of events of a rehashing occasion for each unit of time. It is additionally once in a while alluded to as fleeting recurrence to underscore the difference to spatial recurrence, and customary recurrence to stress the differentiation to precise recurrence. Recurrence is communicated in units of hertz (Hz) which is comparable to one (occasion) each second. The comparing time frame is the time term of one cycle in a rehashing occasion, so the period is the corresponding of the recurrence. Recurrence is estimated in units called hertz (Hz). At the point when one wave passes in a single second its recurrence is 1 wave each second or 1 Hertz. Recurrence and period are really alternate extremes. While period is estimated in seconds per cycle, recurrence is estimated in cycles each second. Think about our wave with a time of 2 seconds.

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Four toy cars are moving at a constant speed until they experience an unbalanced force of 12 n each. Which toy car would have an acceleration of 3 m/s^2?.

Answers

The car that would have the acceleration of 3m/s^2 would be of mass 4 kg.

How Newton's law of motion applied to determine the mass of the car that would have an acceleration of 3m/s^2?For determining the mass of the car that would have 3m/s^2 acceleration, we will calculate net force .The net force acting on a given asset along with the total acceleration against the mass of the asset.The F = F1+ F2+F3.......Fn, here the body or the considered asset is not  at rest .If the question would ask to consider a rest object then the net force would be , F= Fa + Fg, Fa is the force applied over the considered object in the question, Fg is the force due to gravity.

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When a wave encounters an obstacle or a slit that is comparable in size to its wavelength, it bends around it. This characteristic is called ________.

Answers

The answer is Diffraction

a piece of ice at 0 degree cools in a drink more effectively than the same mass of water at the same temperature​

Answers

Answer:

Drinks are cooled more effectively by ice pieces at 00C and not by water at 00C. This is because ice takes away more heat from the drink while melting as a result of high specific latent heat capacity of ice.

Explanation:

It takes an airplane 9 hours to fly from Santiago, Chile to Miami at a speed of 480 km/h. What is the distance travelled by the airplane from Santiago to Miami?
a) 4,320 km
b) 4,800 km
c) 3,240 km
d) 5,333 km

Answers

the plane flies 480km an hour, if it takes 9 hours, do 480 x 9 which would equal 4,320 km
so the answer is a !!
- hope this helps ♡

The most soaring vocal melody is in Johann Sebastian Bach's Mass in B Minor. In one section, the basses, tenors, altos, and sopranos carry the melody from a low D to a highA. In concert pitch, these notes are now assigned frequencies of 146.8Hz and 880.0 Hz . Find the wavelengths of(a) the initial note

Answers

The wavelength of initial node is 2.34m.

What is wavelength?

The wavelength, which in physics refers to the length over which a periodic wave repeats, is its spatial period. It is the distance between two successive corresponding wave points of the same phase, such as two neighboring crests, troughs, or zero crossings, and it is a feature of both traveling waves and standing waves, as well as other spatial wave patterns. The spatial frequency is defined as the wavelength's inverse. Greek letter lambda, which means "wavelength," is frequently used to denote it. Sometimes, modulated waves, their sinusoidal envelopes, or waves created by the interference of several sinusoids are all referred to by the term wavelength.

Wave lengthλ=[tex]\frac{v}{f} = \frac{343 m/g}{146.6/g} =2.34m[/tex].

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A box is at rest on an inclined surface. Which diagram correctly illustrates all forces, including any component forces? Assume the x-axis is parallel to the surface.

Answers

A box is at rest on an inclined surface. The last diagram correctly illustrates all forces, including any component force, therefore the correct option is D.

Describe friction?

When two physical objects' surfaces come into contact, a force called friction acts to hinder or resist the relative motion of the items. Any two surfaces of things cannot simply slide over or across one another due to the friction force. It depends on the amount of force used on the object.

Additionally, there should be no net vertical forces acting on the inclined block. Fv=0

Therefore, the appropriate diagram is D.

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A box is at rest on an inclined surface. Which diagram correctly illustrates all forces, including any component forces?

Assume the x-axis is parallel to the surface.

What is isochronism
brainliest for answer

Answers

Answer:

the study of Earth's magnetic field is known as isochronism

Explanation:

isochronism is having a period that is independent of oscillator amplitude in an oscillator. Like, a pendulum or balance.

3. The runner ran a distance 100m with a force of 45N. How much work
was done? (W=Fx d)

Answers

Answer:

Hope my answer is understandable to you.

A 4.00×100-g glass coffee cup is 20.0°C at room temperature. It is then plunged into hot dishwater at a temperature of 80.0°C, as shown in Figure 12-18. If the temperature of the cup reaches that of the dishwater, how much heat does the cup absorb? Assume that the mass of the dishwater is large enough so that its temperature does not change appreciably.

Answers

The amount of heat the cup absorb is 1003200 J.

Given,

Mass of coffee cup = 4.00 × 100 g or 4 kg

Room temperature = 20°C

Hot water temperature = 80°C

We have to find the amount of heat the cup absorbed.

Now, by using the specific heat formula, we have

Q = mCΔT

Where m is the mass of the substance, c is the specific heat, ΔT is the change in temperature, and Q is the amount of heat received or lost.

Putting the values, we get

Q = 4 × 4180 × (80°- 20°)

Q = 1003200 J/kg K

Hence, the amount of heat absorbed by the cup is 1003200 J/kg K.

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a water holding tank measures 115 m long, 45 m wide, and 9 m deep. traces of mercury have been found in the tank, with a concentration of 65 mg/l. what is the total mass of mercury in the tank? answer in units of kg

Answers

The tank that has a volume of 46575 m³ with a concentration of 65 mg/l has a total mass of mercury of: 3027.375 kg

To solve this problem the formulas and the procedures that we have to use are:

c= m(solute)/v(solution)v =  long * wide * deep

Where

c = concentration of solutionm = mass of solutev = volume of solution

Information about the problem:

long = 115 mwide = 45 mdeep = 9 m c= 65 mg/lv(solution)=?m(mercury)=?

Using the volume formula we get:

v=  long * wide * deep

v(solution) =  115 m * 45 m * 9 m

v(solution) = 46575 m³

By converting the volume units from m³ to liters we have:

v(solution) = 46575 m³ * 1000 l/1m³

v(solution) = 43.575*10^6 l

Applying the concentration formula and clearing the mass we get:

c= m(solute)/v(solution)

m(solute) = c * v(solution)

m(mercury) = 65 mg (mercury)/l (solution)  * 43.575*10^6 l (solution)

m(mercury) = 3.027375*10^9 mg

By converting the mass units from (mg) to (kg) we have:

m(mercury) = 3.027375*10^9 mg * 1 kg/ 1 * 10^6 mg

m(mercury) = 3027.375 kg

What is a solution?

In chemistry a solution is known as a homogeneous mixture of two or more components called:

SolventSolute

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In a certain series R L C circuit, Irms=9.00A, ΔVrms=180V, and the current leads the voltage by 37.0⁰. (a) What is the total resistance of the circuit?

Answers

The total resistance of the RLC series circuit is determined as 20 ohms.

Total resistance of the circuit

The total resistance of the RLC series circuit is calculated as follows;

R = Vrms / Irms

where;

Vrms is the root mean square voltageIrms is the root mean square current

Substitute the given parameters and solve for the total resistance

R = (180) / (9)

R = 20 ohms

Thus, the total resistance of the RLC series circuit is determined as 20 ohms.

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A wave has a wavelength of 2.5 m and a frequency of 150 Hz. What is its speed? (Note: c= f)



380 m/s


200 m/s


60 m/s


500 m/s

Answers

If a wave has a wavelength of 2.5 m and a frequency of 150 Hz, then the speed of the wave would be

What is Wavelength?

It can be understood in terms of the distance between any two similar successive points across any wave for example wavelength can be calculated by measuring the distance between any two successive crests.

As given in the problem If a wave has a wavelength of 2.5 m and a frequency of 150 Hz, then we have to find the speed of the wave,

The speed of the wave = frequency of the wave ×  wavelength

                                       = 150 × 2.5

                                       =375 meters / seconds

Thus, the speed of the wave would be 375 meters / seconds.

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The temperature of an object is a direct measure of the amount of
microscopic energy in the object.
O True
O False

Answers

Answer:

true

Explanation:

correct me if i'm wrong

Answer:

False

Explanation:

A convenient definition of temperature is that it is a measure of the average translation kinetic energy associated with the disordered microscopic motion of atoms and molecules. The flow of heat is from a high temperature region towards a lower temperature region.What is the microscopic energy?

Microscopic Energy. This energy is defined as the energy associated with the random, disordered motion of molecules and due to intermolecular forces.Is temperature a direct measure of the amount of energy in an object?

Temperature is a direct measurement of thermal energy, meaning that the hotter an object is, the more thermal energy it has. Heat is a measure of how much thermal energy is transferred between two systems. It is easy to turn mechanical energy into thermal energy, for example using friction.

Sally has a car that accelerates at 5 m/s. If the car has a mass of 1000 kg, how much force does t
car produce?
F=
m=
a=

Answers

Answer:

5000N

Explanation:

Force is given by the formula F = ma where m is the mass and a the acceleration

Plugging in given values of m and a gives us

F = 1000 kg x 5 m/s² = 5000 Newtons or simply 5000N

how high would the atmosphere extend if it were of uniform density throughout. equal to half the present density at sea level?

Answers

The height the atmosphere would extend is 16,218.5 m.

What is air pressure at sea level?

The standard atmospheric pressure at sea level has a magnitude of 101,325 N/m².

Pa = ρgh

where;

Pa is the atmospheric pressure = 101,325 Paρ is density of air = 1.275 kg/m³h is height = ?g is acceleration due to gravity = 9.8 m/s²

when the density of air is half, ρ = 0.5ρ

Pa = (0.5ρ)gh

h = Pa/(0.5ρg)

h = (101,325) / (0.5 x 1.275 x 9.8)

h = 16,218.5 m

Thus, the height the atmosphere would extend is 16,218.5 m.

Learn more about atmospheric pressure here: https://brainly.com/question/19587559

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