A 1.15-kg mass oscillates according to the equation where x is in meters and in seconds. Determine (a) the amplitude, (b) the frequency, (c) the total energy, and (d) the kinetic energy and potential energy when

Answer:

STATES OF MATTER The three important states of the matter are (i) Solid state (ii) Liquid state (iii) Gaseous state, which can exist together at a particular temperature and pressure e.g. water has three states in equilibrium at 4.58 mm and 0.0098ºC.

Explanation:

Explanation:

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Answer:lever

Explanation:

Answer:

74.0 meters

Explanation:

We can use the kinematic equation for displacement with constant acceleration to solve this problem:

Δy = v0t + 1/2at^2

where Δy is the displacement (i.e., the change in height), v0 is the initial velocity (which is 0), a is the constant acceleration, and t is the time taken.

Plugging in the given values, we get:

Δy = 0 + 1/2(71.0 m/s^2)(1.45 s)^2

Δy = 74.0 m

Therefore, the maximum altitude achieved by the rocket is 74.0 meters above the ground.

The wave function of the resultant wave, Y1 + Y2 is Y = 4.95sin[π(3.80x - 1180t - 0.206)].

The wave function Y1 describes a sinusoidal wave with an amplitude of 4.95 meters, a wavelength of λ = 2π/3.8 ≈ 1.65 meters, and a frequency of f = 1180/3.8 ≈ 310 Hz. The phase of the wave is such that the maximum displacement occurs at x = 0 and t = 0, and the wave is moving in the negative x direction.

The wave function Y2 also describes a sinusoidal wave with the same amplitude and wavelength as Y1, but with a phase difference of 0.25 seconds. This means that Y2 is shifted to the left (negative x direction) by a distance of Δx = λΔφ/2π = λ(0.25)/2π ≈ 0.206 meters. The frequency and speed of Y2 are the same as Y1.

To determine the resultant wave Y, we add the two wave functions: Y = Y1 + Y2. Using the trigonometric identity sin(a + b) = sin(a)cos(b) + cos(a)sin(b), we can simplify the expression for Y:

Y = 4.95sin[π(3.80x - 1180t)] + 4.95sin[π(3.80x - 1180t)cos(0.25) + cos(π/2)sin(0.25)]

Y = 4.95sin[π(3.80x - 1180t)] + 4.95sin[π(3.80x - 1180t + 0.25)]

Y = 4.95sin[π(3.80x - 1180t - 0.206)]

The resultant wave Y is a sinusoidal wave with the same amplitude and wavelength as Y1 and Y2, but with a phase shift and a different waveform due to interference. The frequency and speed of Y are also the same as Y1 and Y2.

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-- The given question is incomplete, the complete question is

"Two traveling sinusoidal waves are described by the wave functions

Y1 : 4.95sin[π(3.80x-1180t)]

Y2 : 4.95sin[π(3.80x-1180t-0.250)]

Where x , y1 and y2 are in meters and t is in seconds. Find the wave function of the resultant wave (Y1 + Y2)." --

Explanation:

as there is plastic covering around the wires because at the copper when we cover with like a insulators that can flow current are called insulators for when we when we touch the wire then we get current that's conductor orchid covering of fire so we can't be get a current

This question involves the concept of the conservation of energy.

(a) The child's speed halfway will be "12.13 m/s".

(b) The child's speed three-fourth way will be "14.86 m/s".

(a)

Using the law of conservation of energy:

Potential Energy Lost = Kinetic Energy Gained

\(mgh = \frac{1}{2}mv^2\\\\2gh = v^2\\\\v = \sqrt{2gh}\)

where,

v = speed = ?

g = acceleration due to gravity = 9.81 m/s²

h = height lost = halfway = height/2 = 15 m/2 = 7.5 m

Therefore,

\(v = \sqrt{(2)(9.81\ m/s^2)(7.5\ m)}\)

v = 12.13 m/s

(b)

Using the law of conservation of energy:

Potential Energy Lost = Kinetic Energy Gained

\(mgh = \frac{1}{2}mv^2\\\\2gh = v^2\\\\v = \sqrt{2gh}\)

where,

v = speed = ?

g = acceleration due to gravity = 9.81 m/s²

h = height lost = three-fourth way down = \(\frac{3}{4}height = \frac{3}{4}(15\ m) = 11.25\ m\)

Therefore,

\(v = \sqrt{(2)(9.81\ m/s^2)(11.25\ m)}\)

v = 14.86 m/s

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The attached picture shows the law of conservation of energy.

Answer:

Energy, in physics, the capacity for doing work. It may exist in potential, kinetic, thermal, electrical, chemical, nuclear, or other various forms. There are, moreover, heat and work—i.e., energy in the process of transfer from one body to another.

Explanation:

Hope this helps!

The part of a road vehicle which must be tested to ensure that there is sufficient friction to stop the vehicle in an emergency is the tyre.

This is referred to as a force that resists the motion of one object against another when they roll or slide against each other.

When dealing with braking, the main factor is to have sufficient friction between the road surface and tyre to bring the vehicle to a standstill. If the tyres are wornout there won't be enough friction to make the vehicle stop during emergencies which is therefore the reason why it was chosen as the correct choice.

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Answer:

  1.15 N

Explanation:

You want to know the force exerted on a mass of 0.003 kg to accelerate it from 0 to 23 m/s in a period of 0.06 s.

The acceleration of the mass is the change in velocity divided by the change in time:

  a = ∆v/∆t

  a = ((23 -0) m/s)/(0.06 s) = 1150/3 m/s²

The force applied is the product of mass and acceleration:

  F = ma

  F = (0.003 kg)(1150/3 m/s²) = 1.15 kg·m/s² = 1.15 N

The applied force is 1.15 newtons.

Answer:

\(Vf^2=Vo^2+2aS\\(0m/s)^2=(4.67m/s)^2+(2*-10m/s^2)S\\-(4.67)^2 m^2/s^2=-20m/s^2*S\\S=(21.8089/20) m\\S=1.090445 m\\\)

The magnetic field of the wire will be directed towards west. Using right thumb rule one can get the direction of field lines.

Answer is zero

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Explanation:

Outside two infinite parallel plates with opposite charge the electric field is zero, and that can be proved with Gauss's law using any possible Gaussian surface imaginable

Gerard's average velocity for the ride is 6 meters per second.

To find Gerard's average velocity for the ride, we can use the formula:

Average velocity = Total displacement / Total time

First, we need to convert the distance traveled from kilometers to meters:

7.20 kilometers * 1000 = 7200 meters

Next, we convert the time from minutes to seconds:

20.0 minutes * 60 = 1200 seconds

Now, we can calculate the total displacement by subtracting the initial position from the final position. Since Gerard is riding directly east, there is no change in the east-west direction, so the displacement is equal to the distance traveled:

Total displacement = 7200 meters

Finally, we substitute the values into the average velocity formula:

Average velocity = 7200 meters / 1200 seconds

Average velocity = 6 meters per second

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The formula used by the momentum calculator is p=mv, or momentum (p) equals mass (m) equals velocity (v).

The Momentum-Impulse Theorem for just a single item yields the final momentum by adding the beginning momentum and the impulse: pi + p Equals p f p I Plus p. Impulse is measured in the same units as momentum, which are kgms=Ns s n g m s =0 N s.

The mass of the both balls multiplied by the final velocity, or (4+6), would give the final momentum (vf). The conservation of momentum allows us to find vf; the final momentum must equal the sum of the original momentum values. As a result of their opposing directions, ball B's velocity was negative.

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Answer:

2.5 m/s^2

Explanation:

Given the following data;

Force = 80N

Mass = 32kg

To find acceleration;

Force is given by the multiplication of mass and acceleration.

Mathematically, Force is;

\( F = ma\)

Where;

F represents force.

m represents the mass of an object.

a represents acceleration.

Making acceleration (a) the subject, we have;

\(Acceleration (a) = \frac{F}{m}\)

Substituting into the equation;

\(Acceleration (a) = \frac{80}{32}\)

Acceleration = 2.5m/s²

Using the formula F = G * (m1 * m2) / r^2, where G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them, we can calculate the gravitational force between Jupiter and the sun.

Plugging in the values, we get:

F = (6.674 x 10^-11 N * (m^2 / kg^2)) * ((1.9 x 10^27 kg) * (2 x 10^30 kg)) / (78 x 10^6 m)^2

Simplifying this, we get:

F = 1.98 x 10^27 N

Therefore, the gravitational force between Jupiter and the sun is approximately 1.98 x 10^27 Newtons.

The gravitational force between Jupiter and the sun, calculated using Newton's law of gravitation with their masses and distance, is \(1.95 * 10^{22} N.\)

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Answer: A heat engine uses temperature differences which cause pressure changes to exert force on a moving part. A Carnot Process is a theoretical explanation of a process involving pressure and temperature changes during ,amongst other things, phase changes.

Explanation:

Answer: The difference is a heat engine uses temperature differences which cause pressure changes to exert force on a moving part, A Carnot engine is only a theoretical explanation of a process involving pressure and temperature changes during or amongst other things.

Explanation:

Answer:

1×10⁶ J/Kg

Explanation:

From the question given above, the following data were obtained:

Mass (m) of metal = 2 Kg

Heat (Q) = 2 MJ

Latent heat of Fusion (Hf) =?

Next, we shall convert 2 MJ to J. This can be obtained as follow:

1 MJ = 1×10⁶ J

Therefore,

2 MJ = 2 MJ × 1×10⁶ J / 1 MJ

2 MJ = 2×10⁶ J

Finally, we shall determine the latent heat of fusion. This can be obtained as follow:

Mass (m) of metal = 2 Kg

Heat (Q) = 2×10⁶ J

Latent heat of Fusion (Hf) =?

Q = m•Hf

2×10⁶ = 2 × Hf

Divide both side by 2

Hf = 2×10⁶ / 2

Hf = 1×10⁶ J/Kg

Thus, the latent heat of fusion for the metal is 1×10⁶ J/Kg

Answer:

Is the vector is(mathematics) a directed quantity, one with both magnitude and direction, the (soplink) between two points while velocity is (physics) a vector quant that denotes the rate of change of position with respect to time or a speed with the directional component.

For b)

We will use the formula of Newton's second law

where F is the force, m is the mass and a is the acceleration. In this case we have

F=85N

m=75 kg

a=?

We will isolate the a

we substitute the values

c)

We will use the same formula that we use previously but in this case, we have the next data

F=-85N

m=55 kg

ANSWER

b) 1.13 m/s^2

c)-1.55 m/s^2

The speed of the roller coater at the bottom of the hill is 31 m/s.

Apply the principle of conservation of mechanical energy as follows;

K.E(bottom) = P.E(top)

¹/₂mv² = mgh

v² = 2gh

v = √2gh

where;

v = √(2 x 9.8 x 49)

v = 31 m/s

Thus, the speed of the roller coater at the bottom of the hill is 31 m/s.

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It takes 5.0 s for a wave to travel 3.0 m along the spring.

The time it takes for a wave to travel 3.0 m along the spring is 5.0 s. This can be calculated by dividing the distance (3.0 m) by the wave speed, which is equal to the frequency (2.5 Hz) multiplied by the distance between successive peaks (0.60 m).

3.0 m / (2.5 Hz x 0.60 m) = 5.0 s

What is frequency?

Frequency is a measure of the number of times a particular event or phenomenon occurs within a given period of time. It is usually expressed as an oscillations per second (Hertz). Frequency is an important measure in many fields, including physics, engineering, electronics, and music.

Therefore, It takes 5.0 s for a wave to travel 3.0 m along the spring.

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Answer:

Explanation:

(m1 + m2)*V1 = m2*V2 + m1*Vx

Vx = ((m1 + m2)*V1 -  m2*V2) / m1

Vx = ((82 + 48)*7.4 - 48*8.6) /82 = 6.7 m/s

The escape velocity for the rocket taking off from Earth is v0, then its escape velocity on Planet X is  (A) 2v0.

The surface gravity of a planet is given by:

g = \(GM/R^2,\)

where G is the gravitational constant, M is the mass of the planet, and R is the radius of the planet.

Let's assume that the mass of the astronaut is m. On Earth, the weight of the astronaut is given by:

mg = \(GMearth/Rearth^2,\)

where Mearth and Rearth are the mass and radius of the Earth, respectively.

On Planet X, the weight of the astronaut is given by:

mgx =

Since the astronaut weighs twice as much on Planet X as on Earth, we have:

mgx = 2mg.

Combining these equations, we get:

\(GMx/Rx^2 = 2GMearth/Rearth^2.\)

Since Planet X has half the radius of Earth, we have:

Rx = Rearth/2.

Substituting this into the above equation, we get:

GMx/\((Rearth/4)^2\) = 2GMearth/\(Rearth^2,\)

or

GMx = 8GMearth.

The escape velocity of a planet is given by:

v_escape = sqrt(2GM/R),

where R is the radius of the planet.

On Earth, the escape velocity is:

v_escape,earth = sqrt(2GMearth/Rearth).

On Planet X, the escape velocity is:

v_escape,x = sqrt(2GMx/Rx).

Substituting the expressions for GMx and Rx, we get:

v_escape,x = sqrt(2(8GMearth)/(Rearth/2)),

or

v_escape,x = sqrt(32) * sqrt(GMearth/Rearth).

Since sqrt(32) is approximately equal to 5.66, we have:

v_escape,x = 5.66 * v_escape,earth.

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Answer:

The value is \(\delta P = 9000 \ Pa\)

Explanation:

From the question we are told that

    The inlet and outlet velocity is \(v = 3 \ m/s\)

     The  loss coefficient is  \(k = 2\)

      Th specific weight of water  is  \(w = 9800 \ N/m^3\)

Generally the pressure drop across the valve is mathematically represented as

       \(\delta P = \frac{1}{2} * k * \rho * v^2\)

Here  \(\rho\) is the density which is mathematically represented as

      \(\rho = \frac{w}{g}\)

=>    \(\rho = \frac{9800}{9.8}\)

=>   \(\rho = 1000 \ kg/m^3\)

So

    \(\delta P = \frac{1}{2} * 2* 1000 * 3^2\)

    \(\delta P = 9000 \ Pa\)

Answer:

Increasing an object's thermal energy increases particle motion and can cause a change of state. Decreasing an object's thermal energy increases particle motion and can cause a change of state.

Answer:

Researchers use a wide range of technologies today to help gather data, depending on the field of study and the type of data they need to collect. Here are some examples:

   Sensors: Sensors are devices that can detect and measure physical quantities such as temperature, pressure, and motion. Researchers use sensors to collect data on the environment, human behavior, and other phenomena.

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   Social media and online platforms: Social media and online platforms provide researchers with access to large amounts of data on human behavior, opinions, and attitudes. Researchers use this data to study social trends, political movements, and public opinion.

   Wearable technology: Wearable technology such as fitness trackers and smartwatches collect data on physical activity, heart rate, and other health metrics. Researchers use this data to study human health and behavior.

These are just a few examples of the many technologies researchers use today to help gather data. The use of advanced technology has revolutionized the way researchers collect and analyze data, allowing them to make new discoveries and gain a deeper understanding of the world around us.