Please help me with this problem for physics !

When the acceleration is 0, the time t is 1/3 and 2 seconds. The position and velocity at these two times are 6.24 and 4.50, and 63 and 39, respectively.

The motion of a particle is a critical aspect of physics that involves studying the movement of an object over a specific period of time. The motion of a particle is described by its position and velocity at a given time. In this case, the motion of a particle is defined by the equation \(x = 6t^4 - 2t^3 - 12t^2 + 3t + 3\), where x is the position of the particle and t is the time expressed in meters and seconds, respectively. To determine the time, position, and velocity of the particle when acceleration is 0, we need to perform some calculations based on the equation given.

First, let's find the velocity of the particle at a given time t. The velocity of a particle is the derivative of its position, which means that we need to find the first derivative of the equation \(x = 6t^4 - 2t^3 - 12t^2 + 3t + 3\). The derivative of the equation is\(v = 24t^3 - 6t^2 - 24t + 3\). This equation represents the velocity of the particle at any time t.

Next, let's find the acceleration of the particle at a given time t. The acceleration of a particle is the derivative of its velocity, which means that we need to find the first derivative of the equation \(v = 24t^3 - 6t^2 - 24t + 3\). The derivative of the equation is \(a = 72t^2 - 12t - 24\). This equation represents the acceleration of the particle at any time t.

Now, since we are looking for the time, position, and velocity when acceleration is 0, we can set the equation \(a = 72t^2 - 12t - 24\) equal to 0 and solve for t. By using the quadratic formula, we get two values for t, t = 1/3 and t = 2. These two values represent the time when the acceleration is 0.

To find the position and velocity at these two times, we can plug in t = 1/3 and t = 2 into the equation x = \(6t^4 - 2t^3 - 12t^2 + 3t + 3\) and\(v = 24t^3 - 6t^2 - 24t + 3\), respectively. When\(t = 1/3\), the position \(x = 6 * (1/3)^4 - 2 * (1/3)^3 - 12 * (1/3)^2 + 3 * (1/3) + 3 = 6.24\), and the velocity \(v = 24 * (1/3)^3 - 6 * (1/3)^2 - 24 * (1/3) + 3 = 4.50\). When t = 2, the position \(x = 6 * 2^4 - 2 * 2^3 - 12 * 2^2 + 3 * 2 + 3 = 63\), and the velocity \(v = 24 * 2^3 - 6 * 2^2 - 24 * 2 + 3 = 39\).

To learn more about acceleration here:

https://brainly.com/question/460763#

#SPJ11

1) The direction it points depends on the direction of the electric current in the wires.

2) The magnetic field lines in the region would form circles around each individual wire carrying current.

3) This is because of the right-hand rule

The magnetic field produced by the electric current forms a circular magnetic field around the wire in accordance with the right-hand rule, which is applicable to conventional current flow.

The current's flow direction determines the direction of the magnetic field lines. The curled fingers of your right hand, which is holding the wire with your thumb pointing in the direction of the current flow, would point in the direction of the magnetic field.

Learn more about current:https://brainly.com/question/31686728

#SPJ1

Answer:

3rd law of motion

Explanation:

third law of motion because when ever force is applied on a body equal and opposite force will be applied by the body

The linear displacement of the wheel will be 1.5m.

Linear displacement is the measure of straight path covered by the object .

Rotating angular speed of the wheel = 2.0 rad/s

Radius of the wheel = 0.25 m

According to the angular speed and linear speed relationship, we can say that linear speed is the product of angular speed and the the radius of the object

V = linear velocity

r = radius of the wheel

ω = angular velocity

V = 0.25 * 2

V = 0.5 m/s

Also, speed is equal to distance upon time.

V = d/t

Time at wheel the the wheel's linear distance is to be found = 3 s

therefore d = V * t

d = 0.5 * 3

d = 1.5 m

The linear displacement of the wheel after 3.0 s is 1.5 m.

To know more about linear displacement,

https://brainly.com/question/19549027

#SPJ4

Answer:

COMPACTED MOLECULES

Explanation:

The molecules are compacted in a solid

MTTF or Mean Time to Failure can be calculated using the given data. The term MTTF is often used to describe the expected lifetime of electronic devices and other items.

Here is how to calculate MTTF when given data:(c) Life testing was made on six non-replaceable) electrical lamps and the following results were obtained.

Calculate MTTF.The following data has been given:Number of lamps, n = 6Total time, T = 10000 hoursFailures, f = 2MTTF formula is given as:MTTF = T / n * fWhere, T = total time during which the test was conducted.n = the number of items tested.f = the number of items failed.Using the given data, we can calculate the value of MTTF as follows:MTTF = T / n * f = 10000 / 6 * 2= 1666.67 hoursTherefore, the MTTF of the six non-replaceable electrical lamps is 1666.67 hours.

To know  more about Failure visit:

https://brainly.com/question/32870226

#SPJ11

The volume of the reservoir in cubic meters is approximately 432,523.8272 cubic meters.

To calculate the volume of the reservoir in cubic meters, we first need to convert the area of 50 acres to square meters. One acre is equal to 4046.86 square meters, so 50 acres is:

50 acres = 50 x 4046.86 = 202,343 square meters

Next, we need to convert the depth of 7 feet to meters. One foot is equal to 0.3048 meters, so 7 feet is:

7 feet = 7 x 0.3048 = 2.1344 meters

Now, we can calculate the volume of the reservoir using the formula:

Volume = Area x Depth

Volume = 202,343 square meters x 2.1344 meters

Volume = 432,523.8272 cubic meters

To know more about volume refer here

https://brainly.com/question/1578538#

#SPJ11

Answer: Energy conservation is the decision and practice of using less energy. Turning off the light when you leave the room, unplugging appliances when they're not in use and walking instead of driving are all examples of energy conservation.

Explanation: I'm not very sure but hope this is right

So a tube that is open on one end will resonant at a wavelength that is one-fourth of its fundamental frequency. By multiplying 4 by 0.028 m, yielding 0.112 m, we get the wavelength.

Fundamentals are the lowest frequency sound waves produced by an instrument. Harmonics are secondary waves that an instrument produces at various frequencies.

Hertz (Hz) and cycles per second are two possible units of measurement (cps). While during discussion, the average fundamental frequency for males is between 100 and 150 Hz and between 180 and 250 Hz for females.

To know more about fundamental frequency visit:

https://brainly.com/question/29264927

#SPJ4

If the isotope has a half-life of 1150 years, this means that every 1150 years the amount of the isotope is halved. After one half-life, the amount is reduced to 1/2, after two half-lives it is reduced to 1/4, after three half-lives it is reduced to 1/8, and so on.

To determine how many years are required for the isotope to decay to 25% of its original amount, we need to determine how many half-lives it takes to get from 100% to 25%.

25% is the same as 1/4, so we need to determine how many times we need to halve the original amount to get to 1/4.

1/4 = (1/2)^n, where n is the number of half-lives

Solving for n:

n = log(1/4) / log(1/2)

n = 2

This means that it takes two half-lives for the isotope to decay to 25% of its original amount.

Since the half-life is approximately 1150 years, the time required for two half-lives is approximately:

2 x 1150 years = 2300 years

Therefore, it would take approximately 2300 years for a given amount of this isotope to decay to 25% of that amount.

Answer:

the Noble gases

Explanation:

the Noble gases are atoms that do not easily react with or form bonds with other atoms

Answer:

Probably because it's not anytype of solid or liquid and it's not a gas

Explanation:

The charge on the plastic bead is (a) + 1.7 nC

To find the charge on the plastic bead, we can use Coulomb's Law, which describes the electric force between two charged objects. The formula for Coulomb's Law is:

F = k * |q1 * q2| / r^2

where F is the electric force, k is Coulomb's constant (8.99 x 10^9 Nm²/C²), q1 and q2 are the charges of the two objects, and r is the distance between them.

We are given that the glass bead is charged to 3.8 nC (q1), the electric force (F) is 7.0 × 10^(-4) N, and the distance (r) is 2.9 cm, which we should convert to meters: 0.029 m.

We are solving for the charge on the plastic bead (q2). Rearrange the formula for q2:

q2 = (F * r^2) / (k * q1)

Now, plug in the given values:

q2 = (7.0 × 10^(-4) N * (0.029 m)^2) / (8.99 × 10^9 Nm²/C² * 3.8 × 10^(-9) C)

q2 ≈ 1.7 × 10^(-9) C

Converting back to nanocoulombs, q2 ≈ +1.7 nC. Therefore, the charge on the plastic bead is:

(a) + 1.7 nC

For more information on Coulomb's Law visit:

brainly.com/question/506926

#SPJ11

The distance between the two parallel plates can be found using the equation E = V/d where E is the electric field, V is the potential difference and d is the distance between the plates. Thus, d = V/E = 125V / 4.25 x 103N/C = 29.41cm

The relationship between electric field, potential difference and distance in parallel plates is inversely proportional. As the potential difference increases, the electric field between the plates increases and the distance between the plates decreases. And as the distance between the plates increases, the electric field between the plates decreases and the potential difference applied to the plates decreases.

It can be mathematically represented by the formula E = V / d, where E is the electric field, V is the potential difference, and d is the distance between the plates.

To know more about parallel plates visit: https://brainly.com/question/12733413

#SPJ4

The distance between the two parallel plates can be found using the equation E = V/d  , 29.41cm far apart are the plates .

                             E = V/d

where E is the electric field,

V is the potential difference and

d is the distance between the plates.

                          Thus, d = V/E

                          = 125V / 4.25 x 103N/C

                                    = 29.41cm

The relationship between electric field, potential difference and distance in parallel plates is inversely proportional. As the potential difference increases, the electric field between the plates increases and the distance between the plates decreases. And as the distance between the plates increases, the electric field between the plates decreases and the potential difference applied to the plates decreases.

It can be mathematically represented by the formula E = V / d, where E is the electric field, V is the potential difference, and d is the distance between the plates.

Learn more about parallel plates:

brainly.com/question/12733413

#SPJ4

The geological change happens here is the formation of a land by the deposits by river stream. This process is called accretion.

If you kept a close eye on the bank of a river or the shoreline of a lake or ocean for an extended period of time, you'd notice that the water was depositing soil on the shoreline or bank. Accumulation is the natural, slow, and almost imperceptible deposit of soil by water.

The owner of the bank or shoreline upon which the accretion occurs is generally recognized to own the land formed by accretion. However, keep in mind that accretion does not destroy an existing right of way, which is the legal right to travel along another person's property.

Here, the  ranch deposits sediment along the banks of the river and adds half an acre of land to the ranch by the rive stream . Hence, it is an example of accretion. Thus, option A is correct.

Find more on accretion:

https://brainly.com/question/27816499

#SPJ1

You can disregard the weight of the rope and assume that the rope does not stretch. Use 9.81m/s2 as the gravitational acceleration value.

The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. It is a vector quantity to accelerate (in that they have magnitude and direction). The direction of the net force acting on an object determines the direction of its acceleration. According to Newton's Second Law, an object's acceleration is the result of two factors working together: the object's mass, which varies depending on the materials it is made of, and the net balance of all external forces acting on it. The magnitude of an object's acceleration is inversely proportional to the object's mass.

To know more about above topic visit:

https://brainly.com/question/28743430

#SPJ4

R(F) = 4F - 160

a. R¹(P) represents the temperature at which a cricket chirps at a rate of P chirps per minute.

b. R(60) refers to the chirping rate of the cricket when the temperature is 60 degrees Fahrenheit, while R¹(60) represents the temperature at which the cricket chirps at a rate of 60 chirps per minute.

The equation R(F) = 4F - 160 represents the relationship between the temperature of the cricket's environment (F) and its chirping rate (R). By plugging in different temperature values, we can determine the corresponding chirping rate.

For example, when we calculate R(60), we find the chirping rate at 60 degrees Fahrenheit.

In this case, R(60) = 4(60) - 160 = 240 - 160 = 80 chirps per minute.

On the other hand, when we calculate R¹(60), we are looking for the temperature at which the cricket chirps at a rate of 60 chirps per minute. Solving the equation 60 = 4F - 160, we find F = 70 degrees Fahrenheit. Therefore, R¹(60) = 70.

Learn more about chirping rate

brainly.com/question/29017815

#SPJ11

At an equilibrium position of a pendulum, the velocity is at a maximum.

The pendulum hangs straight down while it is at rest, not swinging. This position is called the equilibrium position. It is practical to consider this position to be the origin or reference position indicated in the definition of position.

The pendulum's lowest point is where the equilibrium point is located. It is called this because, there are no forces acting on it. This is the point at which the pendulum would be at a stable, motionless equilibrium.

It is also the time when the pendulum, after being let go from above, totally converts the gravitational potential energy it began with into kinetic energy. As such, this means that at this point the pendulum is at its maximum velocity.

To know more about pendulum:

https://brainly.com/question/8668597

#SPJ4

The movement of charges from one plate to the other in a capacitor is a fundamental process that underlies many electronic devices and applications.

When a capacitor is connected to a circuit, charges begin to flow from one plate to the other until both plates reach the same potential and the capacitor becomes fully charged.

This process involves the movement of electrons, which are negatively charged particles, from one plate to the other.

Initially, the capacitor is uncharged, and the plates have an equal number of positive and negative charges.

When a voltage is applied to the capacitor, electrons begin to flow from the negative plate to the positive plate, creating an electric field between the two plates. This electric field stores energy in the capacitor, which can be released later when the capacitor is discharged.

If the voltage across the capacitor is removed, the capacitor will retain its charge and will discharge slowly over time as the electrons flow back from the negative plate to the positive plate.

This discharge process can be used in various applications, such as in flash photography, where a capacitor is charged rapidly and then discharged quickly to produce a bright flash of light.

For similar question on capacitor

https://brainly.com/question/13578522

#SPJ11

The resulting amplitude when they meet is 4 units.

Amplitude is a term used in various fields including physics, engineering, and audio technology, with different meanings in each context. In physics and engineering, amplitude refers to the maximum displacement or magnitude of a wave or oscillation from its rest position. For example, in a sound wave, the amplitude is the maximum displacement of the air molecules from their average position, and it determines the loudness of the sound. In light waves, amplitude refers to the maximum intensity of the light wave, which determines its brightness. In audio technology, amplitude refers to the strength or volume of a sound wave. In digital audio, amplitude is typically represented by a numerical value and is used to control the volume of a sound.

As both are amplitude and one overlaps each other, the amplitude formula doesn't apply, we can simply multiply the waves

2 × 2

= 4

To learn more about Amplitude; click the given link ;

https://brainly.com/question/3613222

#SPJ1

Due to the fundamental differences between these two galaxy types, galaxies cannot evolve from elliptical to spiral (or spiral to elliptical).

For example, in contrast to spiral galaxies, which include gas and dust as well as hot, bright O and B type stars, elliptical galaxies are devoid of visible gas and dust and hot, brilliant stars.

A galaxy with an elliptical shape and a uniform brightness distribution is called an elliptical galaxy (no spiral arms). Elliptical galaxies are stretched galaxies with an elliptical shape, according to astronomical physics. The light is distributed evenly and smoothly throughout this type of galaxy, which is typically composed of old stars.

To know more about galaxies

https://brainly.com/question/9869198

#SPJ4

The gene contains the instructions to make a protein that has information about the genetic characters of an organism.

Inside our cells there is presence of DNA.

It is a double stranded deoxyribonucleic acid.

This DNA is the place where the genetic characters resides.

But this DNA is made up of different things like the sugar.

So the genetic material is found in a part of DNA called a gene.

A gene is a short section of DNA.

The genes contain instructions that tell your cells to make molecules called proteins. Proteins perform various functions in your body to keep you healthy. Each gene carries instructions that determine your features, such as eye colour, hair colour and height.

Therefore, the gene contains the genetic information and the instructions to make a protein which determines the characteristics of an individual.

To learn more about genes, refer: https://brainly.com/question/8832859

#SPJ4

Answer:

R = K L / A        resistance proportional to length and inversely proportional  

to area

R2 / R1 = A1 / A2 = A1 /  (4 A1) = 1 / 4

R2 = R1! / 4

Answer:

\(\Huge \boxed{\mathrm{13.5 \ Joules}}\)

Explanation:

\(\sf Kinetic \ energy \ (J)=\frac{1}{2} \cdot mass \ (kg) \cdot (velocity \ (m/s)) ^2\)

\(\mathrm{KE=\frac{1}{2} mv^2}\)

The mass of the ball is 3 kg.

The velocity of the ball rolling is 3 m/s.

\(\mathrm{KE=\frac{1}{2} \cdot 3 \cdot 3^2}\)

Evaluating and solving for kinetic energy.

\(\mathrm{KE=\frac{1}{2} \cdot 3 \cdot 9}\)

\(\mathrm{KE=\frac{1}{2} \cdot 27}\)

\(\mathrm{KE} =13.5\)

The kinetic energy of the ball is 13.5 Joules.

Answer:

Kinetic energy =1/2mv^2.

1/2×3×3^2.

1/2×27=13.5 or 13 whole number 1/2.

a)The tension in each cable forms a triangle as shown below

The triangle formed is a right triangle.

AC represents the inclined cable

AB represents the horizontal cable

BC represents the vertical cable

The tension is the force acting on the vertical table. Given that the force is 512N,

the tension on the vertical table is 512N

To find the tension on the inclined cable, we would apply the Sine trigonometric ratio which is expressed as

Sinθ = opposite side/hypotenuse

From the triangle,

θ = 33

opposite side = BC = 512

hypotenuse = AC

Thus,

Sin 33 = 512/AC

By crossmultiplying,

512 = ACSin33

AC = 512/Sin33

AC = 940.1 N

The tension on the inclined cable is 940.1 N

To find the tension on the horizontal cable, we would apply the tangent trigonometric ratio which is expressed as

Tanθ = opposite side/adjacent side

adjacent side = AB

tan 33 = 512/AB

By crossmultiplying,

ABtan33 = 512

Dividing both sides of the equation by tan 33, we have

AB = 512/tan33

AB = 788.4

The tension on the horizontal cable is N788.4

The coefficient of kinetic friction is 0.314.

Friction is the force resisting the relative motion of sturdy surfaces, fluid layers, and material factors sliding towards each specific. There are numerous styles of friction: Dry friction is a strain that opposes the relative lateral movement of two stable surfaces in touch.

Calculation:-

Force = 8000 N

mass = 2548 kg

a = f/mass

  = 8000 / 2548

 = 3.14 m/s²

Force = μkN

 N = mg

     =  2,5480 N

μk(coefficient of kinetic friction) = Force / N

                                                       = 8000/ 2,5480

                                                       = 0.314

Friction is the shape of contact pressure. It exists between the surfaces that are in touch. The frictional force relies upon the character of the floor in contact. The rougher the ground, the extra friction is involved. The frictional force is proportional to the urgent pressure, which is the burden of the body. it's miles impartial of the place of the touch.

Learn more about friction here:-https://brainly.com/question/24338873

#SPJ4

The answer is no, G′ does not necessarily have to be connected. This is because there could be other vertices in G that are not connected to the rest of the graph except through v. When we remove v and e, those vertices would be isolated and G′ would be disconnected.

Suppose we have a connected graph G and a vertex v of degree 1 in G, with e being the edge incident on v. We can obtain a subgraph G′ of G by removing v and e from G. The question is whether G′ must also be connected. For example, consider a graph G with three vertices and three edges, where v is the vertex of degree 1 and e is the edge incident on v. If we remove v and e from G, we are left with two isolated vertices, and G′ is not connected.

However, if there are no other vertices in G that are only connected to the rest of the graph through v, then G′ would be connected. This is because removing v and e would not disconnect any other parts of the graph.

In conclusion, whether G′ is connected or not depends on the connectivity of G beyond the vertex v and edge e.

For such more questions on vertices

https://brainly.com/question/29671672

#SPJ11

The distance is the object from the mirror will be 5cm.

A mirror equation is an equation that relates object distance and image distance to focal length. It is often referred to as a mirror formula.

The object distance in a spherical mirror is the distance between the object and the pole of the mirror (u).

The given data in the problem is;

Image height = 18cm

Object height = 10cm

u is the object distance

v is the image distance = 9 cm

From the symmetry of the triangle;

\(\frac{image \ height }{object \ height} = \frac{v}{u} \\\\ \frac{18 }{10} = \frac{9}{u}\\\\ \rm u=\frac{90}{8} \\\\ u = 5\ cm\),

Hence the distance is the object from the mirror will be 5cm.

To learn more about the mirror equation refer to the link;

https://brainly.com/question/3229491