How long does it take a car to travel 330 m at a speed of 30.0 m/s

A prize wheel is spinning in a vertical circle when an acceleration of 2.0 rad/s2 is applied to the edge of the wheel for 3.0 s. if the final velocity of the wheel was measured to be 9.0 rad/s, the initial velocity of the wheel will be  ω0 = 3 rad/s

time = 3 seconds

acceleration = 2 [tex]rad/s^{2}[/tex]

final velocity = 9.0 rad/s

initial velocity = ?

using

ω = ω0 + αt

9 = ω0  + 2 * 3

ω0 = 3 rad/s

The initial velocity of the wheel will be ω0 = 3 rad/s

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There is 20% probability that the seal catches a mackerel.

How likely something is to occur is known as its probability.

To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur. There are differences between probability and odds. Odds are calculated by dividing a situation's likelihood of occurring by its likelihood of not occurring.

Given,

mackerel 15

herring 23

harbor pollock 37

probability = possible event/ no. of event

probability = 15/ 15+23+37

probability = 15/ 75

probability = 0.2

∴ probability is 20%

For numbers less than 1 out of 1,000 (such as 0.20 out of 1,000), it is clearer to recast them as “200 out of 10,000” (“2 out of 10,000,” for instance).

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a. The height of the bungee jumper above the water is 171.72 m

b. The maximum speed of the bungee jumper is 83.1 m/s

Since the bungee jumper barely touches the water surfaces and comes to rest after numerous bounces, using the law of conservation of mechanical energy,

K = U where

So, 1/2 kx² = mgH

1/2 k(H - L)² = mgH

Making k subject of the formula, we have

k = 2mgH/(H - L)²

Substituting the values of the variables into the equation, we have

k = 2mgH/(H - L)²

k = 2 × 124 kg × 9.81 m/s² × 352 m/(352 m - 55 m)²

k = 856373.76 kgm²/s² ÷ (297 m)²

k = 856373.76 kgm²/s² ÷ 88209 m²

k = 9.71 N/m

Next, we find the extension of the bungee cord. WE know that the spring force, F = kx where

equals the weight of the bungee jumper, W = mg when the bungee jumper is at rest.

so, F = W

kx = mg

x = mg/k

Substituting the values of the variables into the equation, we have

x = 124 kg × 9.81 m/s²/9.71 N/m

x = 1216.44 kgm/s²/9.71 m

x = 125.28 m

So, the total stretched length of the bungee cord after it comes to rest is L' = L + x = 55 m + 125.28 m = 180.28 m

So, the height of the bungee jumper above the water is H' = H - L'

= 352 m - 180.28 m

= 171.72 m

So, the height above the water is 171.72 m

To find the maximum speed of the jumper, we must have minimum extension of the bungee cord.

Using the law of conservation of mechanical energy, the maximum potential energy of the jumper, U equals the mnimum elastic potential energy of the cord, U' + the maximum kinetic energy of the bungee jumper, K'

So, U = U' + K'

mgH = 1/2kx'² + 1/2mv² where

Making v subject of the formula, we have

v = √[2gH - (kx'²/m)]

Substituting the values of the variables into the equation, we have

v = √[2gH - (kx'²/m)]

v = √[2 × 9.81 m/s² × 352 m - (9.71 N/m × (0 m)²/124 kg)]

v = √[6906.24 m²/s² - (9.71 N/m × 0 m²/124 kg)]

v = √[6906.24 m²/s² - 0 Nm/kg)]

v = √(6906.24 m²/s²)

v = 83.1 m/s

So, the maximum speed is 83.1 m/s

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An object has an acceleration of 8.0 m/s/s. If the net force experienced by the object is decreased by a factor of 3.7 and if the mass of the object is decreased by a factor of 2.6, then the new acceleration would be 5.62 [tex]m/s^{2}[/tex]

force 1 = mass1 * acceleration 1

force 1 = mass1 * 8  

f1 = m1 * 8

force 2 = mass 2 * acceleration 2

force1 / 3.7  = (mass 1 / 2.6) * acceleration 2

f1 / 3.7 = (m1 / 2.6) * a2  

( m1 * 8 ) / 3.7 = (m1 / 2.6) * a2

a2 = 5.62 [tex]m/s^{2}[/tex]

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The gravitational force acting on 25000 kg mass at a given location is 2.45 × 10⁵ N.

Gravity can be described as an attractive force on a body towards the center of the earth. Every object having mass applies some force or gravitational pull on another object having mass. Gravity is responsible for the planets in orbit around the sun.

Given, the mass of the object, m = 25000 Kg

The acceleration of gravity at Hartford, Connecticut, g =9.80336 m/s²

The gravitational force acting on the given mass at this location is given by:

F = mg

F = 25000 Kg × 9.80336 m/s²

F = 245084 N

F = 2.45 × 10⁵ N

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The voltage and current are related is to resistive circuit.

What is resistive circuit?

In a fully resistive circuit, current and voltage are in phase, and the power factor is 1. In a circuit where the current lags the voltage by 90 degrees, the power factor is zero trailing. The current leads the voltage in a completely capacitive circuit by 90 degrees, and the power factor is zero.

What is the relationship between the phases of voltage and current?

Current and voltage in a pure resistive circuit are in phase with one another. Thus, the peak values of both the current and the voltage will occur simultaneously.

Therefore, the phase angle between the voltage and the current is, capacitive circuit by 90 degrees, and the power factor is zero.

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the maximum velocity of movement of any particle of the wire is 3.87 m/s

AND)

and)

L = wire length = 25 m

m = weight of wire = 100 g = 0.1 kg

The linear mass density of the wire is given as

μ = m/L = 0.1/25 = 0.004 kg/m

T = tensile force in the wire = 10 N

the speed of the wave along the wire is given as

v =√(T/μ)

v = √ (10/0.004)

v = 50 m/s

(ii)

A = amplitude = 15 mm = 0.015 m

f = frequency = 25 Hz

the maximum lateral velocity is given as

Vmax = 2πfA

Vmax = 2(3.14)(25)(0.015)

Vmax = 2.4 m/s

b)

F = force acting on each edge = 2.5 N

L = length of each edge = 0.75 m

m = weight of each edge = 125 g = 0.125 kg

the speed of the waves on the sheet is given as

v = √(FL/m) = √(2.5 x 0.75/0.125) = 3.87 m/s

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Dropping sandbags does not change cart speed. After the bag drops no energy leaves the system, so the cart always returns to the equilibrium point with the same kinetic energy and thus the same maximum velocity.

This means that the equilibrium position of the horizontal spring is independent of the mass attached to it. For example, if a spring is replaced with a rigid spring of the same natural length, the same considerations apply. That is, the equilibrium position does not change. The duration of the pendulum does not depend on the mass of the weight.

Changing the concentration of something in equilibrium does not change the equilibrium constant. The only thing that changes the equilibrium constant is a change in temperature. Changing the concentration of something in the mixture changes the position of the equilibrium.

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In both the cases gravitational potential energy is same.

Gravitational potential energy is energy an object possesses because of its position in a gravitational field. The most common use of gravitational potential energy is for an object near the surface of the Earth where the gravitational acceleration can be assumed to be constant at about 9.8 m/s².

Given two cases height of the top is 3 ft so the potential energy is same as potential energy is dependent on height of the ball.

In both the cases gravitational potential energy is same.

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222.22 m/s is how fast these waves are moving. Relationship between wave speed, wavelength, frequency, and period.

The equation wave speed = frequency x wavelength describes the relationship between wave speed, wavelength, frequency, and period.

Reason: A. Given that we are aware that the formula for calculating a wave's speed is:

v = f, where v is the wave's speed.

f = the wave's frequency

A wavelength is

Here, stands for the separation between adjacent wave crests.

f = 1/Time Period = (1/1 hr)(1 hr/3600 s) f = 2.77 x 104 s1 = 800 km = 8 x 105 m

Therefore,

v = (2.77 x 10⁻⁴ s⁻¹)(8 x 10⁵ m)

v = 222.22 m/s.    

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The electrons are transferred from hair to balloon when a balloon is being rubbed on a girl’s hair and attains a negative charge.

Rubbing the balloon against the hair leads to the transfer of electrons from the hair to the balloon because electrons are negatively charged, the balloon attains a negative charge, while on the other hand, the hair with the loss of negative charges gets a net positive charge. Static electricity occurs due to an imbalance between negative charges and positive charges in a body. These charges can build up on the surface of a body until they find a path to be released or discharged. Static electricity is produced when positive and negative charges are not in a balanced situation. Protons and neutrons don't move around but electrons jump from one place to another place. When an object has more electrons than protons, it has a negative charge.

So we can conclude that when a balloon is being rubbed on a girl’s hair, the electrons are transferred from hair to balloon.

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The minimum number of steps visible on the escalator at any given time is 150.

Let's assume that the escalator is moving upward at a constant rate, so that the distance traveled by al in one unit of time is equal to three times the distance traveled by bob in one unit of time, which means that al will take three times as many steps as bob does.

Let's say that al walks down 50 steps per unit time, and bob walks up 25 steps per unit time. We know from our earlier assumption about constant speed that al will take three times as many steps as bob does, so if al walks down 50 steps per unit time, then bob walks up 75 steps per unit time—but we also know that there are 150 total visible steps on the escalator at any given point in time.

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The gravitational force exerted on the satellite of mass 1000 kg moving in a circular orbit with a centripetal acceleration of 5 m/s² by the planet is 5000 N (option C). The, the force acting on the satellite is: Therefore, the gravitational force exerted on the satellite by the planet is 5000 N (option C).

f

An influence that can alter an object's motion is called a force. A mass-containing object's velocity can change, or accelerate, as a result of a force. Intuitively, a push or a pull can also be used to describe force. Being a vector quantity, a force has both magnitude and direction. The rate at which an object's velocity with respect to time changes is called its acceleration. Vector quantities include accelerations. The direction of the net force acting on an object provides information about its acceleration.

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The total work done by the gas during this cycle is A −40J.

For process 2→3 (volume constant)

Q=−40 J

W=0 (As V is constant)

ΔU=Q=−40

U3−U2=−40 (i)

For process 1→2 (temperature constant)

T1=T2

U1=U2 (ii)

From (i) & (ii)

U3−U1=−40

ΔU3→1=40 J

For process 3→1 (Adiabatic process)

W=−ΔU

W=−40J

A thermodynamic cycle comprises of a connected grouping of thermodynamic forms that include the exchange of warm and work into and out of the framework.

Whereas changing weight, temperature, and other state factors inside the framework, inevitably returns the framework to its introductory state.

The thermodynamic cycles are exceptionally fundamental for the control-creating frameworks (such as petrol motors, diesel motors, gas turbines, etc.).

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The electric field is radially outwards from positive charge and radially in towards negative point charge.

Any sort of charge causes an electric field to be associated to a location in space. The strength and direction of the electric field are expressed by the value of E, also referred to as the electric field strength, electric field intensity, or simply the electric field. The SI unit for the electrical field is volts per meter (V/m). This unit is equivalent to the Newtons per coulomb. Both Newton, which represents for force, and Coulomb, which stands for charge, are the ancestors of these units. These two are sometimes referred to as the sources of the field since they produce the magnetic field with moving charges (currents) and the electric field with stationary charges, respectively.

AV = EAX = (2.4*10N.X0.018) V/M

off = 432

N2V jk N.mm

1/2=12

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The size of the shadow hangs on the distance of the source of light and on the angle at which the light rays drop on the object.

A person or object chunks more light when the sun is low in the sky. More brick light makes shadows longer. Less light is wad when the sun is high in the sky. This makes shadows shorter. The angle at which light hit an object affects the size and shape of its shadow. Shadows are longer when the light source is at a low angle (side on) and squat when the light source is at a higher angle (overhead). find design when investigating how shadows change size and how a shadow is formed understand the role of light-position

So we can conclude that The Sun's position in the sky influences the length of the shadow. When the Sun is low on the horizon, the shadows are long.

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The ratio of turns in the primary and secondary coils of her transformer is 1.916

Primary voltage = 230v

secondary voltage = 120v

The ratio of turns in primary and secondary coils of transformer is given by,

Np/Ns = 230/120

           = 1.916

Transformer: a piece of equipment used to increase or decrease voltage while transferring electrical energy from one alternating-current circuit to another or several circuits. Transformers are used for a wide range of tasks, including lowering the voltage of traditional power circuits to operate low-voltage appliances like doorbells and toy electric trains and raising the voltage of electric generators to enable long-distance transmission of electrical power.

Transformers alter voltage using electromagnetic induction, which means that current is induced in a second coil known as the secondary as the magnetic lines of force (flux lines) build up and collapse with changes in current travelling through the primary coil. To determine the secondary voltage, multiply the primary voltage by the number-to-number ratio. Transformers are devices that convert electrical energy from a single alternating-current turn in the secondary coil to the number of turns in the main coil, a measurement known as the turns ratio.

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To explore Brown Dwarf, we'll utilize an infrared telescope.

Scientists can determine which galaxies are forming stars and where the stars are forming within those galaxies by observing ultraviolet light.

Brown dwarfs, according to McLean, "are so elusive and difficult to find." They are most easily identified in the infrared, but even there, they are quite challenging to find. These flimsy items emit a heat glow that we can see in the infrared.

The wavelengths of light waves range from roughly 400 to 700 nanometers (4,000 to 7,000 angstroms). Different light wavelengths are seen by our eyes as the colors of the rainbow.

Since fusion becomes feasible at a temperature of roughly 3 million degrees, brown dwarf core temperatures must be below this level. temperatures at the surface are 1,000 degrees Kelvin or less.

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The story that fits the graph is; he elevator moves up, is stationary for a while, then moves down at a slower rate.

The term position time graph shows us how the position of the object is changing with time. The position in this case has to do with the exact point in space where the object can be found. We have here an elevator that could be found at various points.

We now have to turn to the graph and see how the graph can be able to give a description of the motion of the elevator. If we look at the position time graph, it tends to move up and then remain at a point for some time before it moves down.

Based on the analysis that we have made above, we can now look out for any of the stories that fits the description that we have just made here.

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Current ( I ) = charge(Q) * time(t)

(A)     I = 75/1000 * 1*60 = 4.5A

(B)     I =  0.5*10^9 * 2*60*60 = 3.6*10^12 A

(C)     I = 2*10^-6*1000*60*60 =0.55 A

2)   Q = I/t

( A)  Q = 6/5*60 = 0.02 C

( B)   Q = 250*1000/ 4*60*60 = 17.36 C

( C)   Q = 2.5/1000*50 = 5*10^-5 C

3 ) t = I/C

(A)  t =25*1000/ 25*10^-6 = 1*10^9 s

(B)  t = 12/48 = 0.25 s

(C)  t = 4/360 = 0.011 s

4 )

( A) P . d = current * resistance = 10/100 * 4= 0.4V

( B) charge = 10*10^-2/3*60 = 5.55*10^-4 C

What is charge ?

Charge, also known as electric charge, electrical charge, or electrostatic charge and denoted by the symbol q, is a property of a unit of matter that indicates how many more or fewer electrons than protons it contains.

The physical characteristic of matter that causes it to feel a force when exposed to an electromagnetic field is called electric charge. The two types of electric charges that protons and electrons most frequently carry are positive and negative charges.

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The equivalent resistance of the circuit is 14.28 ohms.

Resistance- 25 ohms and 30 ohms in parallel

so, the equivalent resistance

1/R =1/R1+1/R2

1/R =1/25+1/30

1/R =0.07

R =  14.28 ohms

If two or more components are connected in parallel, they have the same difference of potential (voltage) across their ends. The potential differences across the components are the same in magnitude, and they also have identical polarities. The same voltage is applied to all circuit components connected in parallel. The total current is the sum of the currents through the individual components, in accordance with Kirchhoff's current law.

A parallel circuit's total resistance is always lower than any of its branch resistances. The total resistance in the circuit decreases when more parallel resistances are added to the lines.

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The rms voltage will be 82.7 v

"RMS" stands for Root Mean Square and is a way of describing the amount of AC voltage or current in terms that are functionally equivalent to DC. For example, 10 Volts AC RMS is the amount of voltage that will produce the same amount of heat dissipation in a given value resistor as a 10 Volts DC power supply.

The root mean square (rms) voltage of a sinusoidal source of emf (Vrms) is used to characterize the source. It is the square root of the square of the time-averaged voltage. The value of Vrms is v₀/√2 or equivalently 0.707 v₀

For the given question:

At the same time interval same heat is produced. Therefore, power in both DC and AC will also be same.

So the rms voltage will be:

= 117.0/√2

= 117.0 × 0.7071

= 82.7 v

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Since the toy car is halting, the acceleration is -36 m/s2, which equals the toy's deceleration.

A moving object can occasionally alter its velocity by the same amount every second. The data table above depicts an item altering its velocity by 10 m/s every second, as was described in the paragraph above. Since the velocity is changing by a fixed amount every second, this is known as a constant acceleration.

The object's force is calculated by multiplying its mass by the speed at which it is traveling. The product is the vector. Kg-m/s2 or Newton is the SI symbol for force (N). The force's equation is as follows:

F = ma

where,

Force is F

m is mass

a is acceleration

The specified values for force are f = 9.0N and m = 0.25kg.

∴ F = ma

9.0 = 0.25 × a

a = 36 m/s²

Therefore, the magnitude is -36m/s2 and the negative sign denotes the toy car's deceleration.

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Answer:

3

Explanation:

m.a=load÷effort

thus 150N÷50N=3

The force between the two charges will be 25k N m.

This can be determined by using Coulomb's Law, which is a formula relating the forces between two charges (q 1 and q 2 ) at a distance r apart. The formula states that their force is equal to kq1q2/r2, where k is a constant (9 × 109 N m2/C2). If we plug in the values of 100 newtons for each charge and 4 meters for their distance, we get:

F = 100k/(4 × 109) = 25k N m

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An example of an anomaly that led to a theory being overturned is: The discovery that materials, when burned, release phlogiston.

A theory can be defined as an integrated set of principles and rules that can be used by a scientist to explain and predict observed events.

According to Thomas Kuhn, the process of any scientific discovery usually starts with the awareness of an anomaly and ends with making an adjustment to scientific theory in order to make a previously anomalous to become expected.

The phlogiston theory can be defined as a superseded scientific theory which stated that a fire-like materials (elements) referred to as phlogiston, are found within combustible bodies and they are released when burned or during combustion.

However, the phlogiston theory is an anomaly that was later overturned by a scientists known as Antoine Lavoisier in 1772, who proved that combustion and burning of any chemical substance or materials (elements) requires a gas that has mass.

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The potential energy provided to the car is 19600 joules, or around 20,000 j, when a 1000-kg car is raised two meter's off the ground using a hydraulic lift at an auto repair shop.

The energy that an item retains due to its position in hydraulic lift to other objects, hydraulic lift tensions, electric charge, or other Gravitational potential reasons is known as potential energy in physics. produces gravitational potential energy

GPE=mgh

where;

m equals the object's mass

g stands for the object's gravitational acceleration.

The height has increased by h in metres.

 As The result is:

GPE = 1000kg*9.8m/s*2m

=19600kg m2/s2

=19600J

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The circuit shown has the drawback that it can only operate with alternating current.

The correct answer is D

A type of electrical current known as alternating current (AC) alternates the flow of electrons periodically or in cycles between two directions. Alternating current (AC) is the kind of current that circulates through electrical outlets used in everyday homes and power lines.

Both alternating current (AC) and direct current (DC) are types of electric current (DC). The way that electrons move determines how AC and DC are different from one another. While the flow of electrons in AC is constantly changing, moving first ahead and then backward, as opposed to DC's steady movement in one direction

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The tension must a rope withstand is 1296.42N

Given- Mass m=1054 kg

acceleration= 1.23 m/s²

To find Tension generated .

Principle -Tension is the reaction of the action applied that means due to application of mass along with acceleration there is a urge towards earth and to substantiate it or to form a couple the reaction occurred is tension that equalises the role of force,

Mathematically , Force = ma ⇒Tension

F=T

T=ma

Calculations & Answer - T= 1054 x 1.23

= 1296.42N

Since T=F so unit of force and tension will  be same.

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The kinetic energy will start dropping that is slows down , she keeps slowing down while the kinetic energy keeps decreasing with potential energy rising.

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