a force of 300N is applied to a 1500kg car at rest. a)what is its acceleration. b)what will its velocity be 5secs later​

The accelaration of the edge of the rotor is linear acceleration.

Accelaration is the rate of the change of the velocity of an object with respect by time.

The electric motor is  spinning at a rate of 2695 Devolution Permanent. By two by over 60 is how this can be converted into reading persecond. The value is coming out at 282.08 ingredient per second. The areas of the model is 7.605 cm. The linear acceleration of the by  motor is what we have to l find. We have to find out of  the tangential acceleration that is given by the formula and omega squared R, if I substitute the values. This will be to 82.08 The  motor has a linear Acceleration.

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VL (peak) = VL × √2= 2.335 angle (90) volts is the rms current in the circuit.

Rms current is Root-Mean-Square of instantaneous current values. The RMS value of alternating current is given by direct current which flows through a resistance

At resonance the capacitive and inductive reactance are such that they cancel each other and the circuit is entirely resistive at that point

so,

At resonance the current is given as

I(rms) = Erms/R = 125 /740 = 0.169 A= 1.6 × 10^-1 A

Now for series RLC circuit the resonant frequency is given as

w= 2πf=1/• LC = 1/√41× 10^-3* 0.44××10^-3

f= 37.94 Hz

The inductive reactance at resonant frequency is given as

xL= jwL = j 2πf×L = j×2×π×37.94×41×10^-3 = j9. 77 ohm= 9.77 angle (90)

as 9.77 angle (90) = 9.77 cos 90+ j9. 77 sin (90) = 0+ j9.77

So the voltage across the inductor is given as

VL= I×XL

=0.16 × 9.77 angle (90) = 1.65 angle (90)

Note this is the rns value for the peak value the voltage is to be multiplied by √2

VL (peak) = VL ×√2= 2.335 angle (90) volts

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According to the given statement, the speed of a point on the rim  is 2.68 m/s.

Energy is a major factor in our everyday routines even though it is an essential need for humans. Our human-made structures are not only heated by energy, but also cooled by it. To lift you finger, climb out of bed, or even stroll down main sidewalk, you need energy.

kinetic energy = E = 0.18 J  

mass = m = 100g = 0.1 kg

diameter = d = 8.0 cm = 0.08 m

Speed = v = ?

v = 2.44 m/s

Briefing:

First convert diameter into radius

r = d/2 = 0.08/2 = 0.04 m

The moment of inertia of disc is given by

I = 0.5mr²

In which m is the disk's mass & r is its radius

I = 0.5(0.1)(0.04)²

I = 0.00008 kg.m²

Additionally, since we are discussing rotating motion, rotational kinetic energy is provided by

E  =  0.5 I ω²

we have to separate ω

ω² = E/0.5 I

ω = √E/0.5 I

ω = √0.18/0.5(0.00008)

ω = 67.08 rad/sec

Finally we know that speed is given as

v = ω r

v = 67.08 (0.04)

v = 2.68 m/s

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From wave speed formula, period is 1.96 × 10^-15  seconds per cycle and the frequency is 5.1 × 10^14 Hertz

The frequency of a wave is the number of complete revolution per second made by a vibrating body.

Given that the wavelength of the yellow light from a sodium flame is 589 nm. This light originated from a sodium atom in the hot flame.

(a) In the sodium atom from which this light originated, the period of the simple harmonic motion which was the source of this electromagnetic wave will be found by using the formula

v = λ/T

Where

Substitute all the parameters

300000000 = 589 × 10^-9/T

T = 589 × 10^-9/300000000

T = 1.96 × 10^-15  seconds per cycle.

(b) The frequency of this light wave is the reciprocal of its period. That is,

F = 1/T

F = 1/1.96 × 10^-15

F = 5.1 × 10^14 Hertz

Therefore, the period of the wave is 1.96 × 10^-15  seconds per cycle and its frequency is 5.1 × 10^14 Hertz

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When helium-3 and deuterium combine in this nuclear process, regular helium and a proton are produced, wasting less energy and making the reaction easier to contain.

The fusion of deuterium and tritium is the most promising of the hydrogen fusion processes that make up the deuterium cycle.

The reaction produces 17.6 MeV of energy, but in order to induce fusion, one must tunnel through the coulomb barrier, which requires extremely high temperatures.

Therefore, 8.4 1020 joules of energy would be released if one ton of deuterium were to undergo the fusion reaction with tritium. This is comparable to the 2.9 1010 joules of energy found in a ton of coal.

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Galaxies should be getting farther apart right now, according to the accelerating coasting critical re collapse model, which is positioned on the graph at time=0 years.

In mechanics, acceleration is the rate at which an object's velocity with respect to time changes. The vector quantity of accelerations (in that they have magnitude and direction). The direction of the net force imposed on an object determines its acceleration in relation to that force. The rate of change in an object's position relative to a frame of reference is called velocity, and it depends on time. An object's speed and direction of motion are specified by its velocity.

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Here is the diagram,

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The figure D shows the correct charge distribution on the conductor. The magnetic field is out of the page and velocity is upwards.

A substance as well as material that permits the flow of electricity is known as an electrical conductor. When voltage was provided, electric charges carriers, often electrons as well as ions, travel effortlessly between atom to atom inside a conductor.

Insulators were substances that prevent electricity from passing through them. Insulators are employed as a defense against the potential dangers of electricity because they oppose electric currents. Glass, air, wood, plastic, as well as rubber are just a few characteristics of insulators.

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The terminal velocity of gold sphere is 39.2 cm/s

Terminal velocity is the maximum velocity attainable for an object as it falls through a fluid.

The terminal velocity of the gold sphere is given by v = 2gr²(ρ - σ)/9η where

So, susbtituting the values of the variables into the equation, we have that

v = 2gr²(ρ - σ)/9η

v = 2 × 9.8m/s²× (10⁻² cm)²(19 g/cm³ - 1.0 g/cm³)/(9 × 10⁻³ Pa-s)

v = 2 × 9.8 m/s² × 10⁻⁴ cm² × (18 g/cm³)/(9 × 10⁻³ Pa-s)

v = 2 × 980 cm/s² × 10⁻⁴ cm² × 2 g/cm³/(1 × 10⁻³ Pa-s)

v = 3920 g/s² × 10⁻⁴/(1 × 10⁻³ Pa-s)

v = 392 cm/s × 10³ × 10⁻⁴

v = 392 × 10⁻¹ cm/s

v = 39.2 cm/s

So, the terminal velocity is 39.2 cm/s

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The wavelength of light emitted from the tube as atom returns to the ground state is 1.02×[tex]10^{-7[/tex]m.

The spectrum of the electromagnetic radiation emitted or absorbed by an electron during transitions between different energy levels within an atom. When an electron gets excited from one energy level to another, it either emits or absorbs light of a specific wavelength.

The wavelength can be determined by either energy or by frequency.

in the question energy of an atom is given, so we will use wavelength energy formula.

λ=hc/E =6.626×10⁻³⁴J⋅s×2.998×10⁸m⋅s⁻¹/12.08 ×1.6×[tex]10^{-19[/tex]

= 19.864×[tex]10^{-7[/tex]/19.328

= 1.02 ×[tex]10^{-7[/tex] m

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The SI unit for the penetration coefficient of ultrasonic waves is m⁻¹.

option A is the correct answer.

Penetration coefficient describes the amount of particles reduced from the infiltration of outdoor particles due to the filtering effect of the building envelope.

Ultrasonic waves describes sound waves with frequencies higher than the upper audible limit of human hearing.

The SI unit of penetration coefficient of ultrasonic waves is expressed in either decibels per meter ( dB/mv ), or nepers per meter ( Np/m ) or equivalent to per meter ( m⁻¹ ).

Thus, the SI unit for the penetration coefficient of ultrasonic waves is per meter ( m⁻¹ ).

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Answer:

heat and pressure is the correct answer

The Thevenin Voltage (Vr) of the circuit with respect to Z is 6V.

Thevenin Voltage (Vr) is the equivalent voltage source in a Thevenin equivalent circuit. It is the open circuit voltage that exists between the two terminals of a circuit when all other elements are removed.

The Thevenin equivalent of the above circuit with respect to Z is Vr

= 6V, ise = 0.5A, and ZT = 4Ω.

Calculate the Thevenin Voltage (Vr)

Step 1a: Calculate the total resistance in the circuit

Rtotal = (2Ω + 3Ω) || (4Ω + 5Ω)

      = (2Ω*5Ω)/(2Ω + 5Ω) + 4Ω

      = 7 Ω

Step 1b: Calculate Thevenin Voltage (Vr):

Vr = (Rtotal/(Rtotal + 4Ω))*6V

  = (7Ω/(7Ω + 4Ω))*6V = 6V

Calculate the Thevenin Impedance (ZT)

ZT = Total = 7Ω

Calculate the short-circuit current (ise)

ise = Vr/ZT  = 6V

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According to statement no, only system in general is constrained by conservation of momentum.

A surface is said to be frictionless if it has a loads applied on any thing that is virtually zero or insignificant, i.e., there is no resistance between the surface and the substance, allowing that object simply slide & freely move without any friction.

Although gas, sand, radiation, fields, and minuscule particles are present in outer space, their concentration is too low for them to have a significant impact on spacecraft. As a consequence, traveling objects cannot be slowed down in space by any kind of friction.

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Answer:

this video shows how to solve the problem :)

Explanation:

The potential energy (PE) and kinetic energy (KE) of the skateboarder at the end of the simulation is PE = 0 J; KE = 1,560 J. Hence option 2 is correct.

Potential energy is defined as the energy stored that an object can hold due to its position in relation to other objects, internal tensions, electric charge, or other circumstances. One of the two types of energy is potential energy, which is the latent energy in an object at rest.

The skateboarder's potential energy is transformed into kinetic energy, also known as the energy of motion, as her position along the track and speed vary. The system's total potential energy determines the maximum amount of kinetic energy the skateboarder can possess.

Thus, the potential energy (PE) and kinetic energy (KE) of the skateboarder at the end of the simulation is PE = 0 J; KE = 1,560 J. Hence option 2 is correct.

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Dark matter was first detected because the excess for the amount of gravity that could be present due to the luminous mass.

Since, by measuring the rotation of the galaxies and their gravitational attraction, the scientists determined that there appeared to be an excess of gravity, which could not be explained by the amount of luminous mass present. This led to the conclusion that dark matter must exist to explain this excess gravity.

Dark matter plays a fundamental role in the formation and evolution of galaxies. This invisible matter is composed of subatomic particles that interact with gravity, but does not emit light, so it cannot be detected directly. Despite this invisibility, advances in technology have allowed scientists to determine the amount of dark matter present in the Universe and its contribution to the evolution of galaxies.

Studies of galaxies suggest that dark matter plays an important role in their formation, this means that dark matter is responsible for the formation of galactic structures, such as disks and the central bar.

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A 1.0 kg block is pushed 20 m at a constant velocity up a vertical wall by a constant force applied at an angle of 26.0° with the horizontal.The acceleration of gravity is 9.81 m/s². Thus, calculated values are:

a)  the work done by the force on the block: 19.62 J

b)  the work done by gravity on the block: -19.62 J

c) the magnitude of the normal force between the block and the wall:  17.7 N

Anything that causes a change in velocity is referred to as an acceleration. You can only accelerate by changing the speed, direction, or both as velocity is a function of both speed and direction.

let m = 1.0 kg

d = 2.0 m

θ = 29°

let, F is the applied force.

let, Fx and Fy are components of F.

As the block is moving upward with constant velocity, net force acting on the block must be zero.

F×nety = 0

or, Fy - m×g = 0

or, Fy = m×g

or, Fy = 1×9.81 N

or, Fy = 9.81 N

a) The work done by the force on the block, WF = Fy×d×cos(0°)

= (9.81×2) J

= 19.62 J

b) The work done by gravity, Wg = Fg×d×cos(180°)

= 1 ×9.81×2×(-1)

= -19.62 J

c) we know, Fy = F×sin(29°)

Fx = F×cos(29°)

Fy/Fx = tan(29°)

Fx = Fy/tan(29°)

Fx = 9.81/tan(29)

Fx = 17.7 N

now use, Fnetx = 0

or, Fx - N = 0

or, N = Fx

or, N = 17.7 N

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The acceleration will be constant and in a downward direction. And as the ball moves in direction of the acceleration so the velocity will keep increasing because velocity is inversely proportional to height, when the ball is in free fall.

The rate at which an item changes its velocity is known as acceleration, a vector quantity. If an object's velocity is changing, it is accelerating.

Free fall is characterized as a condition where an object is only affected by gravity. The ball experiences an external force, which quickens its motion. Gravitational acceleration is another name for this rate of free-fall acceleration. A downward motion without any beginning force or speed is called a free fall.

Hence, the acceleration will be constant and in a downward direction. And as the ball moves in direction of the acceleration so the velocity will keep increasing because velocity is inversely proportional to height, when the ball is in free fall.

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Answer:
How can you make thoughtful spending decision?

To make thoughtful spending decisions, it's important to consider your financial goals and priorities. Start by creating a budget that reflects your income and expenses, and consider what you can afford to spend on non-essential items.

One effective way to make spending decisions is to use the 50/30/20 budgeting rule. This rule suggests that you should allocate 50% of your budget to necessities like housing and groceries, 30% to discretionary spending like entertainment and dining out, and 20% to saving or paying off debt. By following this rule, you can ensure that you're meeting your basic needs while still allowing yourself some flexibility for fun and leisure activities.

It's also a good idea to consider the long-term value of a purchase. For example, investing in a high-quality item that will last for many years may be more cost-effective in the long run than buying a cheaper item that needs to be replaced frequently. Additionally, think about whether a purchase aligns with your values and goals. If it doesn't, it may not be worth the money, even if it seems like a good deal at the time.

Why do people pay more for Name Brand products?

People often pay more for name-brand products for a variety of reasons. One reason is that these products are often perceived as being of higher quality than generic or store-brand products. This perception may be based on the brand's reputation for producing high-quality products, or it may be the result of marketing efforts that position the brand as a luxury or premium option.

Another reason people may be willing to pay more for name-brand products is that they believe these products will bring them status or social recognition. Some people may view certain brands as symbols of success or status, and may be willing to pay a premium to be associated with these brands.

Additionally, some people simply prefer the look, feel, or other aspects of name-brand products, and are willing to pay more for the product they feel best meets their needs or preferences. In some cases, people may be willing to pay more for name-brand products simply because they are more convenient or easier to find than generic alternatives.

Answer: 0.37 m/s2

Explanation:

This is a Newton's 3rd Law of Motion problem.  The force exerted on the pin by the ball is equal and opposite to the force exerted by the pin on the ball.  F = ma

let x = acceleration of the ball after it hits the pin

(4.5 kg)(x) = (0.25 kg)(6.6 m/s2)

x = ((0.25 kg)(6.6 m/s2)) / (4.5 kg) = 1.65 / 4.5 = 0.37 m/s2

According to the given statement M = 18.67 x 10⁶ Solar masses of the object that the star is orbiting.

The rate at which the position of an object shifts in any direction. Speed is defined as the ratio of the distance traveled to the time required to cover that distance. Speed is a numerical number since it just has a path and no magnitude.

Briefing:

M = Mass of Object = ?

v = orbital speed of star = 1100 km/s = 1100000 m/s

G= 6.67 x 1011 N.m2/kg is the universal gravitational constant,

r = distance between star and object = (22 light-days)(2.59 x 10¹³ m/1 light-day) = 5.698 x 10¹⁴ m

Therefore,

[tex]M=\frac{(1100000 \mathrm{~m} / \mathrm{s})^2\left(5.698 \times 10^{14} \mathrm{~m}\right)}{6.67 \times 10^{-11} N . \mathrm{m}^2 / \mathrm{kg}^2}[/tex]

M = (9.39 x 10³⁷  kg)(1 solar mass/ 1.989 x 10³⁰ kg)

M = 18.67 x 10⁶ Solar masses

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Part A: Y is 7.1 when v = 0.98c.

Part B: When compared to what would be predicted if classical mechanics was accurate, the bus's momentum is much more than seven times greater.

Part A: Actual momentum of the bus moving at 0.98 c.

velocity of interplanetary express bus v = 0.98 c.

Thus,

Y = 1/√(1 - v²/c²)

Y = 1/√(1 - (0.98c)²/c²)

Y = 7.07

Thus, Y = 7.1 for v = 0.98c.

Part B: Momentum of an electron traveling at 0.98 c

As Y = 7.1 for v = 0.98c.

Thus, when compared to calculations made using classical physics, the bus's momentum is more than seven times greater.

The same holds true for electrons and other fast moving objects.

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The expression of elevation and solution of the expression is as below -

[tex][X-80x] + [X-16c] +2d/c=0\\x=2c-d[/tex]

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The expression representing width is w = 3l +5, where l = length. When area is 26, the equation for length is 4[tex]l^{2}[/tex]+5l -26=0.

Rectangle is a parallelogram with its opposite sides equal. We can find area of rectangle using the formula,

Area is defined as the extent occupied by an object in 2D plane. The plane may be flat or curved region. The S.I. unit of area is square meter.

Area = length × width

So,  we have length = l,

as per the given information in the question,

width = w = 4l+5

So, area, a = (4l+5) ×l= 26

     4[tex]l^{2}[/tex] +5l = 26

4[tex]l^{2}[/tex] +5l-26 = 0

Solving this equation, we can find the value of l and then width.

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That which occurs during weak electrical stimulation of the presynaptic neuron is;

Weak activity of the presynaptic neuron leads to modest depolarization and calcium influx through NMDA receptors.

what are NMDA receptors?

The N-methyl-D-aspartate receptor, is described as a glutamate receptor and ion channel found in neurons.

The NMDA receptor is one of three types of ionotropic glutamate receptors, the other two being AMPA receptors and kainate receptors.

In the context of the roles of nmda receptors and ampa receptors in long-term potentiation (ltp), weak activity of the presynaptic neuron leads to modest depolarization and calcium influx through NMDA receptors.

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To calculate the distance to a star cluster using the main-sequence fitting method, we must first be able to build the cluster's main sequence in order to "fit" it to the standard main sequence.

The vast collections of stars known as stellar clusters. There are two primary categories of star clusters: globular clusters, which are gravitationally coupled tight groups of stars between 10,000 and 500,000 years old, and open clusters, which are more loosely bound groups of stars, typically with fewer than a few hundred members and frequently extremely young. While open clusters are being disrupted over time by the gravitational pull of massive molecular clouds as they move through the galaxy, cluster members will still move through space largely in the same direction even though they are no longer gravitationally bound; at this point, they are known as a stellar association, also known as a moving group.

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Answer: The frequency of the sound that you will hear depends on the speed of the car relative to the speed of sound. If you are driving towards the stationary car, the speed of the car will be added to the speed of sound, so the frequency of the sound that you will hear will be higher than 440 Hz.

To calculate the frequency of the sound that you will hear, you can use the Doppler effect equation:

f' = f * (Vsound + Vcar) / (Vsound - Vcar)

where f' is the observed frequency, f is the source frequency, Vsound is the speed of sound, and Vcar is the speed of the car.

Plugging in the values given in the question, we get:

f' = 440 * (340 + Vcar) / (340 - Vcar)

This equation will give you the frequency of the sound that you will hear as you approach the stationary car at a speed of Vcar meters per second.

If initial horizontal velocity  (Vxi) = 10 m/s, then final horizontal velocity (Vxf) = positive 10m/s.

option B is the correct answer.

The horizontal velocity of a projectile is the velocity of the projectile along the x - axis or x - direction.

During the horizontal motion of a projectile, the horizontal velocity of the projectile will be constant since gravity does not act in the horizontal direction.

That is to say, that the initial velocity of the projectile along horizontal direction will be equal to the final velocity of the projectile along the same horizontal direction.

Vxi = Vxf

where;

Thus, If the initial horizontal velocity is 10 m/s. then the final horizontal velocity will be 10 m/s.

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The Final tension in the rope is 473.4N.

a=0.0337m/s²

T=mg-ma=m[g-a]

=473.4N

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