why longitudinal wave called mechanical wave?​

Heavy elements like pb (lead) and u (uranium) were generated during the collapse of a star and subsequent nuclear.

It looks like you're given

\(x(t) = -11\,\mathrm m + \left(1\dfrac{\rm m}{\rm s}\right) t - \left(5\dfrac{\rm m}{\mathrm s^3}\right) t^3\)

\(y(t) = 19\,\mathrm m + \left(3\dfrac{\rm m}{\rm s}\right) t - \left(9\dfrac{\rm m}{\mathrm s^2}\right) t^2\)

The particle's position vector at time \(t\) is given by

\(\vec r(t) = x(t)\,\vec\imath + y(t)\,\vec\jmath\)

Differentiate \(\vec r\) twice to recover the velocity and acceleration vectors.

\(\vec a(t) = \dfrac{d\vec v(t)}{dt} = \dfrac{d^2\vec r}{dt^2} = x''(t)\,\vec\imath + y''(t)\,\vec\jmath \\\\ \implies \vec v(t) = \left(1\dfrac{\rm m}{\rm s} - \left(15\dfrac{\rm m}{\mathrm s^3}\right) t^2\right)\,\vec\imath + \left(3\dfrac{\rm m}{\rm s} - \left(18\dfrac{\rm m}{\mathrm s^2}\right) t\right) \,\vec\jmath \\\\ \implies \vec a(t) = -\left(30\dfrac{\rm m}{\mathrm s^3}\right)t \, \vec\imath - \left(18\dfrac{\rm m}{\mathrm s^2}\right) \,\vec\jmath\)

At \(t=1.4\,\rm s\), the particle has acceleration

\(\vec a(1.4\,\mathrm s) = \left(-42\,\vec\imath - 18\,\vec\jmath) \dfrac{\rm m}{\mathrm s^2}\)

with magnitude

\(\|\vec a(1.4\,\mathrm s)\| = \sqrt{\left(-42\dfrac{\rm m}{\mathrm s^2}\right)^2 + \left(-18\dfrac{\rm m}{\mathrm s^2}\right)^2} \approx 45.695\dfrac{\rm m}{\mathrm s^2}\)

and making an angle \(\theta\) relative to the positive \(x\)-axis such that

\(\tan(\theta) = \dfrac{-18}{-42} = \dfrac37\)

Since both components of the acceleration vector have negative sign, the acceleration points into the third quadrant, so that we add a multiple of 180° after taking the inverse tangent of both sides, namely

\(\theta = \tan^{-1}\left(\dfrac37\right) - 180^\circ \approx -156.801^\circ\)

Now, (a) the magnitude of the net force acting on the particle is, by Newton's second law,

\(F = (0.41\,\mathrm{kg})\|\vec a(1.4\,\mathrm s)\| \approx \boxed{18.735\,\mathrm N}\)

and (b) makes the same angle as the acceleration vector, \(\theta \approx \boxed{-156.801^\circ}\).

At this moment, its velocity vector is

\(\vec v(1.4\,\mathrm s) = \left(-28.4\vec\imath - 22.2\,\vec\jmath\right) \dfrac{\rm m}{\rm s}\)

which (c) makes an angle \(\theta\) such that

\(\tan(\theta) = \dfrac{-22.2}{-28.4} = \dfrac{111}{142}\)

This vector also points in the third quadrant, so

\(\theta = \tan^{-1}\left(\dfrac{111}{142}\right) -180^\circ \approx \boxed{-142.986^\circ}\)

(a) The mechanical advantage of the ramp is determined as 2.5.

(b) The pulley provides additional advantage since it assisted the boy in pulling up the load.

The mechanical advantage of an object is the ratio of output force to input force, hence it is called force ratio.

M.A = Lp/h

where;

M.A = 10/4

M.A = 2.5

Learn more about mechanical advantage here: https://brainly.com/question/25984831

#SPJ1

We can determine how the density changes with the radius of the sun using helioseismology.

Helioseismology is the study of the interior of the Sun through its surface oscillations, similar to how seismologists study the Earth's interior through earthquakes. By analyzing these oscillations, scientists can determine how the density changes with the radius of the Sun.

The other options are a. radar observations, b. neutrino detections, c. high-energy (gamma ray) observations, and e. infrared observations, can provide valuable information about the Sun, but they are not the most effective methods for determining changes in density with radius.

So, option d is correct.

To know more about solar neutrino visit:

https://brainly.com/question/29678174

#SPJ11

Answer:

The correct option is;

A.

Explanation:

The speed of sound varies with the medium within which the sound propagates. Therefore, the wavelength of the sound wave changes as it moves from one medium to another

The speed of sound in liquid which is given by the square root of the ratio of the bulk modulus (compression resistance) to the density of the liquid is generally faster than in gas, therefore, given that the frequency of the sound source in constant, the wavelength, λ, given as λ = v/f, which is therefore, directly proportional to the speed of sound, also reduces, which is represented by a reduced distance between successive crest as seen in figure A.

Answer:

15 m/s^2 The first thing to calculate is the difference between the final and initial velocities. So 180 m/s - 120 m/s = 60 m/s So the plane changed velocity by a total of 60 m/s. Now divide that change in velocity by the amount of time taken to cause that change in velocity, giving 60 m/s / 4.0 s = 15.0 m/s^2 Since you only have 2 significaant figures, round the result to 2 significant figures giving 15 m/s^2

Explanation:

Answer:

The speed is 1.5 m/s.

Explanation:

Given that,

Distance = 3 m

Time = 2 sec

We know that,

The position and time graph shows the speed of motion.

We need to calculate the speed

Using formula of speed

\(v=\dfrac{d}{t}\)

Where, d = distance

t = time

Put the value into the formula

\(v=\dfrac{3}{2}\)

\(v=1.5\ m/s\)

Hence, The speed is 1.5 m/s.

Sara pushed a box of lab equipment along the ground, displacing it by 1 meter. she has done work on the box of lab equipment.

When a force is applied and an object is moved over a specified distance, a work has been completed. The following formula is used to calculate an object's work,

W = Fd

Where, F is the applied force, and d is the object's displacement.

Therefore ,Sara has therefore completed her work on the box of lab equipment when she moves it by 1 m.

To know more about work

https://brainly.com/question/29673580

#SPJ4

Answer:

Work is directly proportional to energy.

Explanation:

Work is said to be done when a body is displaced from one position to another. A force is required to make this displacement. This force applied is a kind of energy that is kinetic in nature. So when we displace an object by applying force, we are changing its kinetic energy to do the work.

Work Done = Change in Kinetic Energy.

If v is the frequency of the emission, then the frequency of the reflected wave is ′=(vv+vs)=620(340340+8.333)=605.2 Hz. v v + v s = 620 (340 340 + 8.333) = 605.2 H z is what "′" equals.

Moving away from the source causes an observer to pick up a lower frequency, while moving toward it causes them to pick up a higher frequency. Therefore, the perceived frequency often rises as the source and observer get closer to one another.

This is because the moving ambulance is squishing the sound waves in front of the car together. Your ear receives more vibrations per second as a result.

To know more about frequency visit:-

https://brainly.com/question/5102661

#SPJ4

4.5 billion years. This  method of radiometric dating is based on the decay of radioactive isotopes, such as uranium and potassium, into stable isotopes over time.

By measuring the ratio of the radioactive isotope to its decay product in a sample of rock, scientists can calculate the amount of time that has passed since the rock formed.

The accuracy of radiometric dating depends on a number of factors, including the precision of the measurement instruments used, the quality of the rock samples being analyzed, and the assumptions made about the initial concentrations of the isotopes being measured. However, with modern techniques and instrumentation, radiometric dating can typically provide an accuracy of within 1-2% for rocks that are a few billion years old.

It is worth noting that radiometric dating is just one of several methods used to determine the age of the Earth. Other techniques include studying the rates of erosion and sedimentation, the ages of meteorites, and the ages of rocks and minerals formed during key geological events. These complementary methods provide additional evidence that supports the estimated age of the Earth.

Visit to know more about Radiometric dating:-

brainly.com/question/8831242

#SPJ11

Answer:aaaa

Explanation:aaaa

An icicle shrinks in size when the temperature drops because the water molecules within the icicle lose energy and move closer together, causing the icicle to contract. To determine the amount by which the icicle shrinks at a temperature of -26°C, we need to consider the thermal expansion coefficient of ice.

The thermal expansion coefficient of ice is approximately 51 x 10^(-6) per degree Celsius. This means that for every degree Celsius decrease in temperature, ice contracts by 51 x 10^(-6) of its original size.

If we assume that the icicle is made entirely of ice and has an initial length of L millimeters, the contraction in millimeters can be calculated using the following formula:

Contraction = L * (T2 - T1) * α

Where:

L is the initial length of the icicle,

T1 is the initial temperature (assumed to be 0°C),

T2 is the final temperature (-26°C),

α is the thermal expansion coefficient of ice.

Plugging in the values, we have:

Contraction = L * (-26) * 51 x 10^(-6)

Simplifying the equation, we get:

Contraction = -1.326 L

Therefore, the icicle would shrink by approximately 1.326 times its original length at a temperature of -26°C.

Learn more about Icicle Shrinks :

https://brainly.com/question/31383151

#SPJ11

Answer:

21,294 L

Explanation:

(63.0 atm) (338 L) = (1.00 atm) (x)

338*63=21294

Answer:

\( \mathbf \blue{Pressure}\)

\( \mathbf \green{James \:Prescott \: Joule}\)

\( \mathbf \orange{36.5 - 37 \: °C}\)

\( \mathbf \pink{Daniel \: Farhrenheit}\)

We cannot determine the speed at which a star in the galaxy is moving away from us based on its mass, luminosity, age, or color alone. it is false

The speed at which a star in the galaxy is moving away from us is determined through the measurement of its spectrum using a technique known as redshift.

When a star or galaxy moves away from us, its light is shifted towards longer wavelengths, resulting in a redshift. By analyzing the degree of redshift, astronomers can estimate the speed at which the star is receding.

However, factors such as mass, luminosity, age, and color do not provide direct information about the star's motion away from us.

These characteristics are important for studying other properties of stars, such as their composition, brightness, evolutionary stage, and temperature. To determine the motion of a star in the galaxy, redshift measurements are essential.

To learn more about, luminosity:-

brainly.com/question/13945214

#SPJ11

Answer:

A

Explanation:

Friction is an opposing force that works on a body's surface and tries to stop it from moving. Newton (N) is its unit.

What is the friction force?

Friction is the force created when two surfaces of two things come into contact and slide against one another.

It is described mathematically as the product of the normal reaction and the coefficient of friction.

The equation becomes balanced once the provided force and acceleration in the various components have been resolved. elements moving in the x-direction

To find acceleration on an inclined plane

Ma(sin∅) - F = ma

mg(cos∅) = R

F = μR

To prevent slippage, the frictional force must be less than the maximum static friction force. We'll use constants to represent the ratio of the ramp's opposite and adjacent sides.

At this point, the frictional force equals ma. It was previously discovered that a=gsin

The frictional force is thus mgsin∅. The maximum static friction force, or normal force, is defined as kmgcos∅, where k is the minimal static friction coefficient.

Learn more about Friction here

https://brainly.com/question/24338873

#SPJ4

The formula to calculate the heat absorbed or released by a substance is given by: Q = mcΔT

where Q is the heat absorbed or released, m is the mass of the substance, c is the specific heat capacity of the substance and ΔT is the change in temperature. The specific heat capacity (c) of the given metal is 741 J/°C. The temperature change (ΔT) of the metal is (42 - 20) = 22°C.

Substituting the given values in the formula, we get: Q = mcΔT= m × 741 J/°C × 22°C= 16284 m JAs we are not given the mass of the metal, we can't determine the exact value of Q.

But we know that the heat absorbed was 16284 times the mass of the metal in joules (J).So, the heat absorbed to cause the temperature increase is 16284m J. This answer is within the word limit of more than 100 words.

To know more about formula visit:

https://brainly.com/question/20748250

#SPJ11

Inelastic collision, the momentum before and after the collision and the total energy of the system remains conserved.

Answer:

im pretty sure its d

Explanation:

The object takes 2.28 s to move from x = 0.0 cm to x = 5.9 cm. when object in SHM oscillates with a period of 4.0 s and an amplitude of 14 cm.

Given:

Amplitude = 14 cm

Period = 4.0 s

To Find: Time taken to move from x=0.0 cm to x=5.9 cm

Formula Used:

Period of SHM = 2π√(m/k)T = 2π√(l/g)

Where, T = Period of SHM

m = Mass

k = Spring Constant

l = Length

g = Acceleration due to gravity

To calculate the time taken by an object to move from x=0.0 cm to x=5.9 cm, we can use the formula for SHM as follows;

x = Acos(2πt/T)

where x = 5.9 cm and A = 14 cm5.9 = 14cos(2πt/4.0)cos(2πt/4.0) = 5.9/14cos(2πt/4.0) = 0.4214(2πt/4.0) = cos⁻¹(0.421)2πt/4.0 = 1.136t = 1.136 * (4.0/2π)t = 2.28 s

Therefore, the object takes 2.28 s to move from x = 0.0 cm to x = 5.9 cm.

To know more about Amplitude refer here :

https://brainly.com/question/3613222

#SPJ11

Answer:

Scientific notation 6.42×10^21

When direct current flows through an electrical coil, it generates a magnetic field.

If the direct current flowing through the coil is increasing, the magnetic field strength will also increase.

This, in turn, will cause the coil to generate a stronger electromagnetic force, which can be used for various purposes such as powering motors, generating electricity, and more.

However, if the current flow becomes too strong, it can cause the coil to overheat and potentially damage it.

Therefore, it's important to ensure that the coil is designed to handle the amount of current flowing through it to prevent any potential damage.

To know more about magnetic field here

https://brainly.com/question/29741079

#SPJ11

Answer:

hydrochlorine +12÷B to the power of 4 -× y reapeated zminus 2 to the power of 9

According to Lazarus' cognitive appraisal approach, the first step in appraising a stressor is called "primary appraisal."

In this step, an individual evaluates the significance of a stressor and determines whether it is a threat, challenge, or irrelevant to their well-being.

Primary appraisal involves evaluating the significance and meaning of an event or situation in relation to one's well-being. It involves assessing whether the event is irrelevant, benign or positive (no stress), or if it is potentially stressful (stressful). If the event is appraised as stressful, it leads to further cognitive appraisals, such as assessing the harm or threat posed by the stressor and evaluating one's coping resources and options (secondary appraisal).

Learn more about lazarus cognitive https://brainly.com/question/29851152

#SPJ11

Two factors determining the strength of the gravitational pull between two objects are: mass and distance.

Gravity is a force that attracts and pulls all matters in the universe toward each other. There is a gravitational pull happens between two objects. Its strength is affected by these two things only:

This correlation can be written as the equation below:

\(F = G\frac{M_{1}M_{2} }{R}\)

Where F stands for gravitational force, G is the gravitational constant, M is the masses of the objects, and R is the distance between them.

Learn more about gravitational force here https://brainly.com/question/24783651

#SPJ4