what is the maximum speed of a 330 kg car if the spring is compressed the full amount? express your answer with the appropriate units.

The average kinetic energy of a gaseous molecules is directly proportional to the absolute temperature. This indicates that the motion of all the molecules stops if the temperature decreases to absolute zero.

The product of each gas molecule's half mass and its square RMS speed yields the average kinetic energy of a gas molecule. In mathematical terms,

[tex]K=\frac{1}{2}mv_{rms}^{2}[/tex]

Here, K = Average kinetic energy

         m = Mass

         vrms = RMS velocity.

The Kelvin scale, where 0 represents absolute zero, is used to measure absolute temperature. The temperature at which matter's particles move the least and cannot cool down is known as the zero point (minimum energy).

[tex]K=\frac{1}{2}mv_{rms}^{2}\\[/tex]

Now, [tex]v_{rms} = \sqrt{\frac{3RT}{M} }[/tex]

Substituiting the value vrms we get,

[tex]K=\frac{1}{2}mv_{rms}^{2}\\\\K= \frac{3}{2} RT[/tex]

Thus from the above equation we can see that a gas particles average kinetic energy is directly proportional to the absolute temperature (T) of the gaseous particles. All the gases at the same temperature have the same average kinetic energy (K).

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The center of mass of an irregularly shaped object 10 m long that is placed with each end on a scale from the left is 5.57 m

Let the object length be L.

L = 10 m

Let the distance from center of mass to the right end be x. The irregular shaped object exerts an upward force on both left and right side.

Fl = 74 N

Fr = 93 N

Since the object is at rest,

τ = 0

Fr * x - Fl ( L - x ) = 0

93 x = 74 ( 10 - x )

93 x = 740 - 74 x

167 x = 740

x = 4.43 m

Distance from left end = L - x

d = 10 - 4.43

d = 5.57 m

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The time when the particle crosses the origin is t = 0.

What is time?
Time is the ongoing progression of existence and things that happen in what seems to be an irreversible order from the past, present, and forward into the future. It is a quantity that is a part of many measurements that are used to compare the length of events or the gaps between them, to compare how long they last, to order events, and to measure how quickly things change in the real world or in our conscious experience. Along with the three spatial dimensions, time is frequently referred as a fourth dimension. Time has long been a crucial topic of study in philosophy, religion, and science, but scholars have never been able to define it in a way that is applicable to all of these disciplines without being circular.

(a) The particle crosses the origin when the position m is equal to 0. Since the position of the particle is given by m, we have to solve the equation m = 0. Therefore, the time when the particle crosses the origin is t = 0.

(b) The displacement of the particle between 0 and 28 is 28 - 0 = 28 km. The displacement of the cyclist between 0 and 20 is 8 km. Therefore, the displacement of the cyclist over the 20 minutes is 8/20 km/min. Since there are 28 minutes in total, the total displacement of the cyclist is 28 x (8/20) = 14 km.

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Bobby is more powerful because he runs up the stairs faster.

Power is known to be the speed at which work is done. P = gravimetric power The SI unit is Watt W, where 1 Watt equals 1 Joule/second (1W=1J/s). Since work is energy transfer, power is also the rate at which energy is consumed. For example, a 60 W light bulb consumes 60 J of energy per second.

W = F × s

Where, W = work done

F = Force

s = distance

Since both of them are of same weight and can exert equal force while running and are covering same distance, their work done will be equal.

Now according to, P = W/T

Where, P = Power

W = Work

T = Time

Hence, power is inversely proportional to time.

Lesser the time for a particular work higher will be the power.

Time taken by Bobby to reach the bleachers = 30s

Time taken by Michael to reach the bleachers = 40s

As Bobby took lesser time to reach the bleachers, implies his high rate of work.

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It continues to move in a new angle or direction as it slows down.

When a light ray travels from a rarer medium to a denser medium, it bends toward the normal to the boundary between the two media due to refraction.

Refraction is the bending of light beams when they pass through a medium with a variable speed. When a light ray travels from a rarer medium to a denser medium, it bends toward the normal to the boundary between the two media due to refraction. The indices of refraction of the two mediums affect how much bending occurs. As a result, when an airborne light beam encounters a denser material, it bends in the direction of normal.

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320 kg.m/s is the momentum of lineman (p)lineman =mv and 440 kg.m/s is the momentum of football fullback (p)fullback =mv.

Whenever to body collides there is no change in the momentum of the body as momentum of body is equal to the momentum before the collision to the momentum after the Collison.

As per the given data:

Mass of lineman=  160 kg

velocity  of lineman=2m/s

mass of fullback=88 kg

velocity=5 m/s

now momentum of lineman (p)lineman =mv

(p)lineman =160*2

(p)lineman =320 kg.m/s

now momentum of football fullback (p)fullback =mv

(p)fullback =88*5

(p)fullback =440 kg.m/s

now both travelling towards each other so final momentum after collision = 440-320

=120 kg.m/s

hence, the final momentum = 120 kg.m/s after collision .

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The distance between a node and an adjacent antinode is 1.2m.

If λ is the wavelength then the length of the pipe L = 5λ/4

Now F₁ = ν/4L

        F₃ = 5F₁ for second overtone for system of two different ends,

so, wavelength λ = [tex]\frac{4L}{5}[/tex] = 4 × [tex]\frac{6}{5}[/tex] = 4.8m

the distance between a node and adjacent antinode = λ/4 = [tex]\frac{4.8}{4}[/tex] = 1.2m

In physics, what do node and antinode mean?

The location of a point on a standing wave is described by its node and antinodes. The points known as nodes are those that do not deviate from the equilibrium position. At nodes, amplitude is at its lowest. Antinodes are locations where deviations from the mean position are at their highest (at crests and toughs). Antinodes have the highest amplitude.

On the other side, antinodes are created in regions where constructive interference takes place. For instance, a point of significant positive displacement happens when the crests of two waves collide.

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The Minimum Angular Separation Between Two Stars is 4 × 10−6 Rad, If Telescope is Used to Observe Them with an Objective of Aperture 16 Cm.

The angular resolution measure is the angular size of the smallest features that the telescope can see. θ ≈ a / d . A complete circle is 2π radians = 360 degrees. Angular sizes or separations may also be measured in arcminutes (60 arcmin = 1 degree) or arcseconds (60 arcsec = 1 arcmin).

To find Angular Separation

It represents cosine angle between two vectors. ...

Formula. ...

Exercise: ...

From vector algebra we remember that cosine angle between two vectors can be represented as dot product divided by length of the two vectors.

The length of a vector (sometimes called modulus) is the root of square of its coordinate.

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Answer: In order for an object to move at a constant speed or to accelerate or decelerate, the applied (horizontal) force and the frictional force must be unequal.

Explanation: How does the frictional force compare to the applied force?

Frictional force serves to keep the crate in place by acting in the opposite direction as the applied force. The term for this rubbing force is static friction. If you push harder, the frictional force will rise until it achieves its maximum value as a result of the increased applied force.

Do we have even or uneven friction?

Friction was the driving force that kept the bucket in place. It absorbed the tiny force applied to the bucket and offset it. a move

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The reflected rays of light don't produce visible colored interference fringes in a window pane because the glass structure of a window pane prevents the interference patterns to be observed.

A window pane is the glass that acts as a window in a building. While usually a window pane is only composed of a single piece of glass, sometimes two or more glass sheets are used with some space between each.

When it strikes a window pane, some rays will be reflected back and forth between the glass surfaces. Theoretically, it should produce some visible colored interference fringes. However, the glass structures in window panes do not have the ability to produce these visible fringes. They do produce the effect, but they are negated by the effect of other sections of the glass.

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If the solar cells are 15% efficient, the electrical power that the calculator is receiving is 0.10962mW.

It is a photovoltaic cell, an electronic device that converts the energy of light directly into electricity by the photovoltaic effect, which is a physical and chemical phenomenon.

So, the solar cells on your calculator will trap solar energy and convert it into electrical energy to give power your calculator's liquid display.

How to calculate the electrical power that the calculator will receive?

P = 120W

r = 2.8m

A = 3cm² = 3 * 10^-4 m²

Intensity = 15/100 * P/4*π*r^2

= 0.15 * 120 / 0.5 * 4π * 2.8²

I = 0.3654 W/m^2 (rounded)

Received power = I * A

= 0.3654 * 3 * 10^-4

= 1.0962 * 10^-4 W

= 0.10962 mW

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The gravitational force is 2-92 X 10⁻¹¹ N

Solution:

F = [tex]\frac{ Gm_{1} m_{2} }{r^{2} } = \frac{6.67*10^{-11} (7)(a)}{12^{2} }[/tex]

= 2-92 X 10⁻¹¹ N

Gravity or attraction pulls objects with mass together. We often think about Earth's gravity. This force locks the body to the ground. However, all objects with mass exert gravitational force on all other objects with mass.

Gravity is described as the force of attraction that attracts all physical forms with mass. It is by far the weakest known force of nature. The reason gravity pulls you to the ground is that all objects with mass like our Earth actually bend or distort the fabric of the universe called space-time. This curvature is what we perceive as gravity.

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a) Kinetic energy of ball is 450J.

A 1kg ball is thrown into the air with an initial velocity of 30m/s. Newtonian physics says the kinetic energy that the ball have is:

( [tex]\frac{1}{2} )[/tex] ×1 kg×[tex](30 \frac{m}{s}) ^{2}[/tex]= 450 J.

In physics, what is kinetic energy?

The energy a thing has as a result of motion is known as kinetic energy. A force must be applied to a thing in order to accelerate it. We must put forth effort in order to apply a force. After the job is finished, energy is transferred to the thing, which then moves at a new, constant speed.

b) Potential energy of ball is 450J

The whole amount of energy will be in the form of potential energy since the ball's kinetic energy will be equal to zero. As a result, when the ball reaches the peak of its climb, its potential energy will be 450 J.

c) 45m high into the air ball travel.

KE at start = GPE at the peak

450 = mgh

450 = (1)(g)(h)

450= (1)(10)(h)

45=h

Therefore, the ball will reach up to a height of 45m.

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Answer: Speed and velocity both involve distance traveled over time, but velocity also includes direction

Explanation: speed is the time rate at which the object travels & velocity is the time rate at which the object travels also but includes direction too.  

The rotation curve for the solar system show speeds that become slower with increasing distance from the sun Because the Sun contains most of the mass of the solar system

The Solar System is composed of the Sun, eight planets, and another collection of celestial bodies. These celestial bodies and planets are drawn to and orbit the Sun. The Sun, an average star, the planets Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune make up our solar system.

As the distance from the galactic centre increases, it is discovered that the rotation speed does not decrease, suggesting that the galaxy's mass distribution cannot be concentrated like the light distribution.

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The tension in the rope is 366 N, and the floor's strain on the plank is 221 N, based on the answer to the question.

Compression force's opposite is tension. All of the things in the scene that are in contact with one another apply forces to one another. The finest demonstration of a tension force is when a rope is being pulled. The rope builds up a lot of tension when ever a pull force is applied to it.

a). Taking into account the plank's torque at the floor:

(T sin 60 )(L ) = (20g cos 30)(L/2) + (50g cos 30)(3L/4)

T = ( 10g cos 30 + (150 g cos 30) / 4) / sin 60

= 466 N

b). R + T = (20 + 50 )g

R = 70g − T

= 686 − 466

= 221 N

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The complete question is-

A 20.0-kg uniform plank (10.0 m long) is supported by the floor at one end and by vertical rope at the other end shown in the figure A 50.0-kg mass person stands on the plank distance three-fourths of the length plank from the end on the floor.

(a) What is the tension in the rope?

(b) What is the magnitude of the force that the floor exerts on the plank?

We may determine the height of the branch using the pendulum's expression of time period. The swinging tyre can be compared to the pendulum's swinging bob. Here, the pendulum's length will match the height of the branch.

So let h be. From the formula for the pendulum's duration, let T denote the time period of the tire's swing.

T = 2π√l/g where l is length of pendulum

l = h so

T = 2π√h/g

h = T^2g/4π^2

Calculating the tyre swing time allows us to determine the height of the branch.

A stop watch can be used to estimate the length of the tyre swing. Time period is the length of time it will take the tyre to go from one extreme to the other before returning.

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The wire has a diameter of  1.596 × (10) -5 m.

L = 4.0 m is the length of the wire.

The battery's emf is 1.5 volts.

I = 4 mA = 0.004 A is the wire's current.

The wire's resistance can be calculated using;

R = V / I

R = 1.5 / 0.004

R = 375 ohms

The wire's resistance in terms of resistivity is determined by;

R = pL / A

A = pL / R

Where;

The wire's area A is

Gold has a resistivity of (2.44 x 10)-8 ohm.

A = (2.44 x 10)-8 × 4 /375

A = 2.603 × (10) -10 m²

A = πd² / A

πd²  = 4A

d = √4A / π

d = √4/ (2.602 × (10) -10 / π

d = 1.596 × (10) -5 m.

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The car will slow down. If the rock is big enough and moving fast enough, the kinetic energy from the rock will transfer to the car. And because of that, the car will slow down (and the windshield will most likely shatter)

The power-factor-correction circuit shapes the inductor current to appear as if a resistive load was connected at the output of the diode rectifier. It is false.

Power Factor Correction may be a technique that employments capacitors to decrease the receptive power component of an AC circuit to improve its efficiency and reduce current. A power factor correction (PFC) circuit is included in a control supply circuit to bring its power factor close to 1.0 or reduce harmonics. Many electronic circuits have a capacitor at the input of the control supply to function with DC voltage. This capacitor might cause a phased move between the sinusoidal AC control supply voltage and current and the control to calculate (PF) will drop. A power factor correction (PFC) circuit diminishes the harmonic twisting within the supply current and makes a current waveform near a crucial sine wave in arrange to extend the power  calculation to unity.

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According to the query, the centrifuge's constant angular acceleration is -305.14 rad/s².

Micro centrifuges and tabletop centrifuges are the two main types of centrifuges. Both of these are to use for sample extraction by rotating the specimens in a contained receptacle at such a high speed. Their sample capacities and rotor types differ, though.

The number of rotation is n = 3650 rev/min

Therefore n = 60.83 rev/sec

ω initial = 2πn

             = 382.012 rad/s

ω final = 0

∅ = 2πn

  = 2*3.14*54

  = 339.12 rad

ω final² = ω initial² + 2a∅

a = (ω final² - ω initial²)/2∅

a = (0 - 382.012²)/2(339.12)

a = -305.14 rad/s²

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The current in the circuit is Zero is true

Define current

An electrical charge carrier flow known as current often involves electrons or atoms lacking in electrons. negative to positive points are crossed by current.

The maximum voltage across the resistor is the first choice. This choice is incorrect because, after a considerable amount of time, the capacity is fully charged and the circuit's current "I" will be equal to zero. Moreover, because current is 0 It will now be equal to zero for the voltage courses resistive "IR."

The next option claims that the voltage across the capacitor is at its lowest. Additionally, this is incorrect because charge across a capacitor reaches its maximum over time. In addition to being maximum, voltage will be maximum and equivalent to charge upon capabilities.

No The capacitor is only partially charged, according to the next option. This is incorrect since it takes a while for the charge to reach its maximum level before the maximum current is claimed. . Which is also incorrect because once the capacitor is fully charged, current eventually zeroes out.

Since the capacitor's charge did not change at all after it reached full charge, the fact that the circuit's current is zero is accurate. Because the charge has achieved its maximum value, the rate of change of charge will be zero, and the current will also be zero.

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Answer:

69,000m/s.

Explanation:

1. Divide

348 ÷ 5.0 = 69.6km

Now, it says to find it in meters. Not km. 1,000 meters = 1 km. So, we can simply move the decimal place over according to how many zeros there are in 1,000. In this case, there are 3 zeros. So, we can move the decimal place over 3 times:

69.6

696.

6,960.

69,600

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The direction of the force on each charge due to the magnetic field will be on the page.

Calculation:-

Force on a charged particle in a magnetic field is given as

F = q(V x B)

As its velocity is in +Y direction = J

The magnetic field in +x-direction = I

So,( Force will be in (I x J).

When a charged particle enters a region of uniform magnetic field and its velocity is perpendicular to the magnetic field, a magnetic force is generated that acts as a centripetal force, causing circular motion of the particle. Since the magnetic force acts perpendicular to the direction of motion, charged particles follow curved paths within the magnetic field.

The Particle continues following this curved path until it forms a perfect circle. Magnetic forces act on particles perpendicular to their velocity, so they do not act on them. The kinetic energy and velocity of the particles do not change. For example, due to their inertia, charged particles drift in inhomogeneous magnetic fields and generate ring currents around the Earth.

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The momentum after the collision is 25500 kg⋅m/s. Each object's momentum may change, but the overall momentum must not change.

In Newtonian mechanics, momentum is calculated as the sum of an object's mass and velocity. It has a magnitude and a direction, making it a vector quantity.

The rate of change of a body's momentum is equal to the net force exerted on it, according to Newton's second law of motion. Regardless of the frame of reference, momentum is a conserved quantity in any inertial frame, which means that if an enclosed system is not subject to outside influences, its total linear momentum remains constant.

The formula for calculating momentum is expressed as

momentum = mass x velocity

According to the law of conservation of momentum, initial momentum = final momentum

The formula for initial momentum is

m1u1 + m2u2

where

m1 = mass of first car

u1 = initial velocity of first car

m2 = mass of second car

u2 = initial velocity of second car

From the information given,

m1 = 900

u1 = 0 because it is at rest

m2 =  1700

u2 = 15.0 m/s

Initial momentum = 900 x 0 +  1700 x 15.0 = 25500

Momentum after the collision is 25500 kg⋅m/s

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All light bulbs contain a filament that has some form of resistance hence adding more bulbs in series will increase the total obstacle to the flow, or increases the total resistance

Resistance is the degree to which a substance obstructs or opposes an electric current and electron flow is referred to as electric current.

As electricity passes through the filament, it encounters the resistance due to presence of filament and the energy is converted into light and heat.

According to the Ohm's law, V = IR

if the voltage remains constant then the current(I) is inversely proportional to the resistance(R).

So increasing the number of bulbs connected in series would decrease the current through the battery as it is having constant voltage.

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The surface of Saturn is much colder than the surface of Jupiter.

What is Jupiter?
The largest planet in the Solar System, Jupiter, is the fifth from the Sun. It is a gas giant with such a mass that is slightly less than one thousandth that of the Sun but more than two and half times so on of all of the other planets within the Solar System put together. After the Moon and Venus, Jupiter is indeed the third brilliant natural unit in the Earth's night sky, and people have been observing it since ancient times. It was given the name Jupiter just after Roman god and supreme deity.

This makes it difficult for convection currents to form in the atmosphere of Saturn and for clouds of ammonia and water to form. Without these clouds, the bands of color that are so prominent on Jupiter's surface are not seen on Saturn. Furthermore, the gases on Saturn's surface are much less dense than those on Jupiter's surface, which further prevents clouds from forming and obscuring the underlying surface features.

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Newton's second law of motion gives the following definition of the force formula: "Force exerted by an object equals mass times that object's acceleration." F = m ⨉ a.

To apply this formula, you must use SI units for force (newtons), mass (kilograms), and acceleration (meters per second squared). Every automobile, truck, boat, helicopter, plane, and even spacecraft, Lift, Weight, Thrust, and Drag Newton's first law states that your body, like all mass, tries to remain in its current location. Your body attempts to stay where it was, which is on the left, if the car turns to the right. If an object is travelling and its mass is m, its rate of slowing down is v, and the time it takes is t, then.

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Calculate the maximum stress in the cable if the cable has a cross-sectional area of 500 mm2 , an effective elastic modulus of 70 gpa, and is 25-m long from the crane to the container.   3 mm

The maximum stress in the cable is

Max

= 351.6696 N/mm

2

Elastic modwus , E = 70 GPa = 70x103 MPa ·

Cable length (l): 25 m : 25x10 cross-sectional area of cable

Cross-sectional area-

The go-sectional area is the area of a two-dimensional shape this is received while a 3-dimensional item - along with a cylinder - is sliced perpendicular to a few distinctive axis at a point.

As an example, the go segment of a cylinder - whilst sliced parallel to its base - is a circle. for that reason, the go-sectional area of this slice is the vicinity of a circle with the radius same to the radius of the provided cylinder.

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(a) The angle the rifle should  be pointed to give the maximum range is 45⁰.

(b) The maximum range of the bullet is 47,183.7 m.

The maximum range of the raffle is calculated by applying the following kinematic equation.

R = u² sin(2θ) / g

where;

At the maximum range, the angle of projection = 45⁰

The maximum range of the bullet is calculated as follows;

R = u² sin(2θ) / g

R = (680² x sin(2 x 45) ) / 9.8

R = 47,183.7 m

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A. The angle at which the rifle should be pointed to give the maximum range is 45 degrees.

B. The maximum range of the bullet is 4383.5 m

A. How do I determine the angle for maximum range?

projectile motion involves motion which follows a parabolic path.

However, to obtain a maximum range for projectile motion, the angle of projection must be 45 degrees

B. How do I determine the maximum range?

The maximum range of the bullet can be obtained as follow:

R = u²Sine(2θ) / g

R = [207.264² × Sine (2×45)] / 9.8

R = 4383.5 m

Thus, the maximum range is 4383.5 m

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