a projectile is launched at an initial speed (magnitude of velocity) at an angle above the horizontal. if the horizontal (to the right) is denoted as the direction and vertical (upward) as the direction, what are the x- and y-components of the initial velocity of this projectile?

Answers

Answer 1

The x and y-components of the initial velocity of the projectile are [tex]V_x = v_o cos\theta[/tex] and [tex]v_y = v_osine\theta- gt[/tex]respectively.

Projectile motion is what?

When a particle is launched obliquely near the surface of the earth, it travels along a curved path while accelerating continuously in the direction of the planet's core (we assume the particle remains close to the surface). Such a particle's motion is known as projectile motion, and its path is known as a projectile.

A projectile motion is the simultaneous occurrence of two different rectilinear motions:

Uniform velocity along the x-axis, which drives the particle's forward (horizontal) motion.

Uniform acceleration down the y-axis, which drives the particle's downward (vertical) motion.

Applying 1st equation of motion on the x-axis,

[tex]Vx = v_ocos\theta + (0)t \\Vx = v_o cos\theta[/tex]

Applying the same 1st law of motion on the y-axis,

[tex]V_y=v_osine\theta - gt[/tex]

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Related Questions

a small sports car collides head-on with a massive truck. the greater impact force (in magnitude) acts on which of the following? the car the truck neither, the force is the same on both which vehicle undergoes the greater magnitude acceleration? the car the truck the accelerations are the same

Answers

When a car and a truck collide, the accelerations have an equal overall impact force.

Which two laws of acceleration are they?

Law 1: Until acted upon by an imbalanced force, any item at rest will stay at rest and an object travelling at a constant speed will continue to move at a constant speed. Law 2: An object's acceleration is influenced by its mass and the force being applied.

What causes a speedup?

An object's motion is altered by a net force; the larger this net force, the higher the acceleration. To accelerate at the same rate as less massive objects, higher net forces are needed.

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tonight you see a waxing crescent moon. seven days from now, which phase will you see if the night sky is clear?

Answers

Answer: the phase of the Moon would be a waxing gibbous.

Explanation:

You decide to change the mass of the sandbag for the two actors to reduce the acceleration. The mass of the dolly and actors combined is still 94 kg, and the coefficient of kinetic friction between the dolly and the stage floor is
0.20. If you want the dolly to accelerate at 1.9 m/s?, what should the mass of the sandbag be?

Answers

A 35–40 pound sandbag must be filled halfway to two thirds of the way. The maximum permitted weight for a typical pickup truck is 30 sandbags, or around 1,000 pounds.

What sand bag weighs the most?

Eight various size options for these Strongman Sandbags allow for approximative maximum load capabilities of 25LB or 50LB (for developmental practice or introduction young people to sandbag exercise) or 100, 150, 200, 250, 300, or 400LB (for experienced athletes).

How do you figure out the weight of a volume of sand?

Determine the size of each mineral inside the sand to compute its weight, then multiply that volume by its mass density. The weight of the sand can then be calculated by multiplying the mass of each component element by the regional acceleration of gravity.

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two identical aluminum objects are insulated from their surroundings. object a has a net charge of excess electrons. object b is grounded. which object is at a higher potential?

Answers

Object A has net charge of excess electrons and object B is grounded. Object that is at a higher potential is : B.

What is meant by potential difference?

Electric potential difference is also known as voltage. It is the external work needed to bring charge from one location to another location in electric field. Electric potential difference is change of potential energy experienced by test charge that has value of +1 .

Electric potential is the amount of work needed to move unit charge from a reference point to specific point against electric field. Electric potentials and electric fields in given region are related to each other and thus either can be used to describe the electrostatic properties of space.

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At the beach in the daytime, a cool breeze generally blows from the water to the shore.
What is the name of this process of thermal energy transfer?

Answers

The name of this process of thermal energy transfer is convection.

How does the heat get transmitted during land breeze by convection?

The sea and the land breeze are due to the convection current of air. The conduction or the radiation can not take place because the process of conduction generally takes place in solids and the process of radiation process must need an inert medium to transmit heat energy from one place to another.

Convection is the process in which energy is transferred between two mediums that is a surface and fluid which flows over the surface. In the convective method, the heat energy transfer is transferred by diffusion (conduction) and by bulk fluid motion (advection).

so we can conclude that Convection is the main method of heat energy transfer in fluids such as water and air.

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a wave is traveling at a speed of 5 m/s. it has a frequency of 10hz. what is its angular wave number?

Answers

The angular wave number of a wave with a speed of 5 m/s and a frequency of 10 Hz is equal to ω = 2πf/v = 2π (10 Hz) / (5 m/s) = 6.283185 rad/s.

The angular wave number is an important parameter in describing the characteristics of a wave. It is a measure of the number of wave cycles that occur in a given distance, and it is related to the wavelength, frequency, and speed of the wave.

The angular wave number can also be used to calculate the frequency of a wave from its wavelength and speed. This is done by using the equation f = v/2πλ, where f is the frequency, v is the speed of the wave, and λ is the wavelength.

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a large ship is being towed by two tugs. the larger tug exerts a force which is greater than the smaller tug and at an angle of 30 degrees north of east. which direction must the smaller tug pull to ensure that the ship travels due east?

Answers

In order for the east to west components of the two forces to balance each other out, the smaller tug must be tugging in the south or east direction.

What do you name the separation between an object's location and your own?

The smallest distance between an object's initial and final locations is referred to as the displacement. It has two dimensions and a magnitude and direction vector quantity.

Distance is the distance covered by an item travelling in any direction or even changing direction. Position refers to an object's location inside a frame of reference. Positions can be shown using a number line for motion in a straight line. Displacement is the distance between the initial and final positions.

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a heat transfer of 9.5 x 105 j is required to convert a block of ice at -150c to water at 150c. what was the mass of the block of ice?

Answers

The block of ice had a mass of approximately 4.94 kg.

In a system, what is heat transfer?

Any material made up of atoms and molecules can transmit heat through it. There are numerous ways in which the atoms are constantly moving. All matter has heat, or thermal energy, which results from atomic and molecular motion.

With increased molecular mobility, heat energy levels rise. However, when referring to heat transfer, it simply means the procedure by which heat is transferred from a body with a high temperature to one with a low one.

In thermodynamic systems, heat transmission is defined as

A temperature difference between a system and its surroundings causes heat transfer across the system's boundary.

It's odd that the temperature difference is referred to as a "potential."

q = mLf + mLf + mCp(T2 - T1)

where:

q = heat transfer (Joules)

mLf = heat of fusion of ice (Joules/kg)

mLf = 333.5 J/g

m = mass of ice (kg)

Cp = specific heat capacity of water (Joules/kg/°C)

Cp = 4.18 J/g/°C

T1 = initial temperature of ice (-150°C)

T2 = final temperature of water (150°C)

Rearranging the equation for mass:

m = q / (mLf + mLf + mCp(T2 - T1))

Substituting values:

m = 9.5 x 105 J / (333.5 J/g + 333.5 J/g + 4.18 J/g/°C × 300°C)

m = 9.5 x 105 J / (666.9 J/g + 1254.4 J/g)

m = 9.5 x 105 J / 1921.3 J/g

m = 9.5 x 105 J / 1921.3 J/g × (1 kg / 1000 g)

m = 9.5 x 105 J / 1921.3 J/g × (1 kg / 1000 g)

m = 4.94 kg

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a 45 kg gymnast begins to prepare for his dismount from the parallel bars by increasing his angular velocity by a factor of 4. by what factor does the centripetal force change? (you may assume that radius does not change).

Answers

When his angular velocity increases by a factor of 4, then centripetal force changes by factor of 16.

What is centripetal force?

Centripetal force is that force which makes body follow a curved path.

Centripetal force acting on the gymnast is given by the formula:

F = m * v² / r

where m is mass of the gymnast, v is his linear velocity and r is radius of the circular path he is moving along.

When the gymnast increases his angular velocity by factor of 4, his linear velocity also increases by factor of 4:

v' = v * 4

Centripetal force changes with the change in velocity:

F' = m * v'² / r = m * (v * 4)² / r = 16 * m * v² / r = 16 * F

So, the centripetal force changes by a factor of 16.

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a bullet of mass 10 g strikes a ballistic pendulum of mass 2.0 kg.the center of mass of the pendulum rises a vertical distance of 12 cm.assuming that the bullet remains embedded in the penduluffi, calculate the bullet's initial speed.

Answers

In this problem all the kinetic energy of the bullet is converted to potential 308.25∼308m/s.

Using the conservation of momentum

Therefore we have

By substitution to find the speed of the bullet

v= m bm b+m d

​2gh=0.012.01

2(9.8)(0.12)

​ =308.25∼308m/s.

What does the term "ballistic pendulum" mean?

Ballistic pendulum, a tool for determining a projectile's velocity, such as a bullet's. The pendulum bob is a large wooden block hung by two ropes. A bullet's momentum is transferred to the bob when it is shot into it. The pendulum swing's amplitude may be used to calculate the momentum of the bullet.

In this experiment, a ball shot from a spring pistol will have its velocity measured. Police laboratories have been measuring the muzzle velocities of weapons using ballistic pendulums for many years. Large block hanging by ropes made up the ballistic pendulum.

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The formula vw=f⋅λ
describes the relationship between the speed of a wave (vw) , and its frequency (f) and wavelength (λ)

For example, if a wave has a frequency of 120 Hz and a wavelength of 5m, it would have a speed of 600 m/s.

In one or two sentences, describe what would happen to the frequency of this wave if the wavelength is increased to 10m but the speed stays the same at 600 m/s.

Answers

If the wavelength of the wave is increased to 10m and the speed stays the same, the frequency of the wave will be halved i.e. 60Hz.

What is the relationship between frequency and wavelength?

Wavelength is the length of a single cycle of a wave, as measured by the distance between one peak or trough of a wave and the next.

The wavelength is often designated in physics as λ, and corresponds to the velocity of the wave divided by its frequency.

λ = v/f

This equation reveals that the wavelength is inversely proportional to the frequency of a wave. Hence, if the wavelength of the wave in this question is increased to 10m, the frequency will decrease by half i.e. 60Hz.

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When are the kinetic and gravitational potential energy levels the same?

Answers

Answer:

the halfway point

Explanation:

As an object falls under the influence of gravity, kinetic energy and potential energy are equal at the halfway point only.

now consider a pipe that is stopped (i.e., closed at one end) but still has a fundamental frequency of 300 hz in air. how does your answer to part a, fhe , change?

Answers

The fundamental frequency of pipe in helium is 879Hz while in air is 300Hz indicating the increase in frequency of helium.

Given the fundamental frequency of pipe in air (fa) = 300Hz

The molar mass of Helium = 4

Let the specific heat ration = α

The length of the pipe = L

We know that for the open ends of pipe frequency = v/2L while for the closed ends the frequency is v/4L where v is the velocity of sound wave.

We can see that f is directly proportional to v

We also know that the velocity of wave is calculated as: v = √αRT/M such that v is directly proportional to √α/M

Let the frequency of air = fa and frequency of helium = fh such that:

fh/fa = √αh/αa x Ma/Mh = √1.68 x 28.8 / 1.4 x 4

fh/fa = 2.93

fh = 300 x 2.93 = 879Hz

Hence the frequency of helium = 879Hz

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complete question: Now consider a pipe that is stopped (i.e., closed at one end) but still has a fundamental frequency of 285 in air. How does your answer to Part A, , change? a. fHe increases. b. fHe decreases. c. fHe stays the same.

20 POINTS! I NEED IT ASP!
1 .
Ohm's Law
electroscope leaves repel
2 .
ion
charged atom
3 .
electromagnet
alignment of atoms
4 .
conductor
invented the lightning rod
5 .
magnetism
carries current
6 .
power
developed the light bulb
7 .
Thomas A. Edison
wire-wrapped core
8 .
Benjamin Franklin
V = I × R
9 .
like charges
I × V

Answers

Like Charges are the electroscope leaves repel, Ion is the charged atom. Magnetism is the alignment of atoms, Benjamin Franklin invented the lightning rod, Conductor carries a current.

What are Like charge?

Like charges refer to the positive-positive or negative-negative charges whereas the unlike charges refers to set of positive-negative or negative-positive charges. Repulsion occurs in the like charges which refers to the force which makes the two charges move away from each other.

Like Charges are the Electroscope leaves repel. Ions are the charged atoms. Magnetism is the alignment of atoms. Benjamin Franklin invented the lightning rod. Conductor carries a current. Thomas Edison developed the light bulb. Electromagnet is a wire-wrapped core. Ohm's Law expression: V= I × R. And, Power is equal to I × V.

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An 65 kg Olympic runner leaps over a hurdle . The acceleration of gravity is 9.81m/s^2 if the runner initial vertical speed is 2.8 m/s, how much will the runners center of mass be raised during the jump

Answers

The runner's center of mass will be  0.40 meter raised during the jump.

What is speed?

Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.

Initial vertical speed of the Olympic  runner = 2.8 m/s

Acceleration due to gravity = 9.8 m/s²

Mass of the Olympic  runner = 65 kg

Hence, the runner's center of mass will be raised during the jump

=  (Initial vertical speed )² ÷ (2 ×  Acceleration due to gravity)

= 2.8²/(2 ×9.8) meter

= 0.40 meter.

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a flea jumps straight up to a maximum height of 0.550 m . what is its initial velocity v0 as it leaves the ground? express your answer in meters per second to three significant figures.

Answers

The initial velocity of the flea as it leaves the ground is 3.27 m/s.

The initial velocity of the flea as it leaves the ground can be calculated using the equation [tex]v^2 = u^2 + 2as[/tex], where v is the final velocity, u is the initial velocity, a is the acceleration due to gravity ([tex]9.8 m/s^2[/tex]) and s is the displacement (0.550 m).

Therefore, the initial velocity v0 can be calculated as follows:

[tex]v^2 = u^2 + 2as v^2 = 0 + 2(9.8)(0.550) v^2 = 10.71 v0 = √10.71 v0 = 3.27 m/s[/tex]

Therefore, the initial velocity of the flea as it leaves the ground is 3.27 m/s.

The initial velocity of an object is the speed and direction of the object at the time it is released or fired. It is also referred to as the starting velocity or launch velocity. It is the velocity at which the object is released, and it is typically represented as a vector quantity with both magnitude (the speed) and direction.

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Question 14 ptsIn counseling, the segregation of science and practice is essential in order to maintain updatedknowledge that practitioners can integrate in their clinical work.Group of answer choicesTrueFalse

Answers

The given statement is False. The segregation of science and practice is not always essential in order to maintain updated knowledge that practitioners can integrate in their clinical work.

What is meant by the segregation of science and practice?

The segregation of science and practice refers to the separation or divide between the scientific knowledge and research generated in academic and research settings, and the practical application of this knowledge in clinical settings

Why the integration of science and practice is often essential?

The integration of science and practice is often essential for providing the best possible care to patients, and for keeping practitioners informed about the latest advances and developments in their field.

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what must be the sign and magnitude of q for the resultant electric field at the origin to be 50.0 n/c in the x direction? express your answer in coulombs.

Answers

The magnitude of the charge must be 0 C and its sign is positive.

To determine the sign and magnitude of the charge, q, necessary for the electric field at the origin to be 50.0 N/C in the x direction, we can use the formula for the electric field produced by a point charge: E = k × q / [tex]r^{2}[/tex], where k is Coulomb's constant (8.99 × [tex]10^{9}[/tex] N × [tex]m^{2}[/tex] / [tex]C^{2}[/tex]), q is the charge, and r is the distance from the point charge to the location of the field measurement (in this case, the origin).

Since the field is in the positive x direction, the charge must also be positive. Solving for q, we find: q = E × [tex]r^{2}[/tex] / k = 50.0 N/C × [tex]0^{2}[/tex] / 8.99 × [tex]10^{9}[/tex] N × [tex]m^{2}[/tex] / [tex]C^{2}[/tex] = 0 C. Therefore, the magnitude of the charge must be 0 C and its sign is positive.

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a ball is thrown horizontally from the roof of a building 7.6 mm tall and lands 9.9 mm from the base. part a what was the ball's initial speed?

Answers

A ball is thrown horizontally from the roof of a building then the ball's initial speed is 7.98m/s.

What is initial speed?

Initial Velocity is defined as the velocity at time interval t = 0 and is represented by u.

Initial speed will be 7.68 m/s

Given, height of the building is

H = 7.5 m

As now we know that ball is thrown horizontally, so here initial speed in vertical direction is zero.

u = 1/2 * a *t^2

7.6 = 1/2 * 9.8 * t^2

t = 1.24 sec

The horizontal distance covered by the ball in the same time is , d = 9.5m

d= v t

v = 9.9/1.24

= 7.98 m/s

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a compound microscope has: a. two ocular lens b. two locations of magnification (ocular and objective lenses) c. two mechanisms to concentrate light on a specimen. d. multiple objective lenses.

Answers

A compound microscope has  two locations of magnification (ocular and objective lenses).

Option B is correct.

A compound microscope is a type of microscope.

A compound microscope is an upright microscope with a higher magnification than a stereo microscope thanks to the use of two sets of lenses (a compound lens system). A stereo microscope gives you a three-dimensional image, whereas a compound microscope shows things in two dimensions.

What does the term "compound microscope" mean?

The definition of a compound microscope is. two sets of lenses in a high-resolution microscope that produces a two-dimensional image of the sample. The microscope's use of multiple lenses is referred to as a compound.

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if a curve with a radius of 90 m is perfectly banked for a car traveling 45 km/h, what must be the coefficient of static friction for a car not to skid when traveling at 105 km/h?

Answers

On April 6, 2009, m*v 2 bloggers = mg*sin. According to the cos formula, there isn't any acceleration going up or down the slope, so there is no friction. In other words

When something accelerates, what does that mean?

Acceleration is the measure of a change in velocity. Acceleration frequently, though not always, denotes a shift in speed. The source of an object's motion is altering, thus even if it moves in a circle at constant speed, it is still moving forward. (14 votes)

What is constant acceleration?

Continuous Acceleration An object occasionally has the ability to precisely change its speed every moment or every minute. Since

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if you continue to exert this force (in m/s2) once the crate starts to slip, what will the magnitude of its acceleration (in m/s2) then be?

Answers

The magnitude of the acceleration when the crate starts to slip will depend on the coefficient of friction between the crate and the floor.

Generally, the acceleration will be equal to the coefficient of friction multiplied by the acceleration due to gravity, which is 9.8 m/s2. So, if the coefficient of friction is 0.5, the acceleration of the crate will be 4.9 m/s2.

The coefficient of friction between two surfaces is determined by the nature of the materials (for example, the roughness of the surface) and the amount of force that is being applied to the surfaces. Generally speaking, the coefficient of friction increases as the force increases.

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is it possible to have a zero electric field value between two positive charges along the line joining the two charges?

Answers

Yes, it is possible to have a zero electric field value between two positive charges along the line joining the two charges.

What is electric field?

The physical field that surrounds electrically charged particles and exerts force on all the other charged particles in the field, either attracting or repelling them is called electric field. It may also refers to the physical field for a system of charged particles.

Electric property associated with each point in space when charge is present in any form is called electric field . Magnitude and direction of electric field are expressed by the value of E, called electric field strength or electric field intensity.

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according to this, what observational information does one need in order to calculate the combined mass of a planet and its moon?

Answers

Newton's version of Kepler's third law states: р2-4π2G(M1+M2)*а3. According to this, The observational information which one need in order to calculate the combined mass of a planet and its moon is the average distance between the two objects and the orbital period.

Discovery of Kepler's Laws

Orbits are the paths of planets around the Sun. Previously, ancient humans adhered to geocentric views, namely an understanding that suggested that the Earth was the center of the universe. This assumption is based on the limited sensory experience of humans, who observe the sun, moon and stars moving every day, while the Earth feels stationary.

this theory was developed by the Greek astronomer Claudius Ptolemy (100–170 AD), and lasted up to 1400 years. According to him, the Earth is at the center of the solar system. The sun and other planets move around the Earth in circular paths.

Then, in 1543, an astronomer from Poland, Nicolaus Copernicus (1473–1543), sparked the heliocentric theory. Heliocentric is the notion that the Earth and other planets revolve around the Sun in a circular path. However, this Copernicus opinion still uses circles as a form of planetary trajectory.

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The table shows information about two waves. Based on the given information, which conclusion can be made?

(1 point)
Responses

Wave W has a greater amplitude.

Wave X has a faster speed.

Wave X has a greater amplitude.

Answers

Because the information is incomplete, a wave would have a greater amplitude if it has a bigger disturbance when compared to another wave.

What is Amplitude?

In physics, amplitude refers to the greatest displacement or distance that a point on a vibrating body or wave can move relative to its equilibrium location. It is equivalent to the vibration path's half-length.

Hence, it can be seen that the wave's energy determines how far the medium's particles go. The amplitude of the wave determines how far the particles travel.

The energy of the disturbance that generates the wave determines the wave's amplitude. Greater amplitude results from a wave produced by a disturbance with more energy.

The general overview should give you a better understanding of waves, amplitudes and speed.

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7. A 100 kg log is dragged across a horizontal siand of concrete. 7.1 Show by calculation that the weight of the log is 980 N. Use the equation w = mg in which g = 9,8 m.s-2. (Refer back to Unit 6 on page 30.)​

Answers

The weight of the log is 980N

What is the Weight of an object?

The force of gravity acting on an object is its weight, which is equal to its mass times the acceleration of gravity, or w = mg. The newton is the SI unit for weight since it is a force.

The weight of a 100 kg log can be calculated using the equation w = mg,

where m is the mass of the log (100 kg) and g is the acceleration due to gravity (9.8 m/s^2).

So, w = (100 kg)(9.8 m/s^2) = 980 N.

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when a certain spring is expanded 8 centimeters from its natural position and held fixed, the force necessary to hold it is 1600 dynes. find the work w required to stretch the spring an additional 8 centimeters.

Answers

The work required to stretch the spring an additional 8 centimeters is 6400 J.

How much is the spring constant?

F = -kx. The proportional constant k is referred to as the "spring constant". It measures the spring's stiffness. When a spring is stretched or compressed to a length that deviates by an amount x from its equilibrium length, it applies a force F = -kx in the direction of its equilibrium position. A spring's force acts to return the spring to its equilibrium length; it is a restoring force.

There is a perfect spring's equilibrium length. When a spring is compressed, a force pushing the ends apart has an intensity proportional to how far it has deviated from its equilibrium length. When a spring is extended, a force pulling one end toward the other has a magnitude proportional.

W = 1/2 × k

where k is the spring constant and x is the amount of displacement.

Since we know the force necessary to hold the spring (1600 dynes) and the displacement (8 cm), we can use the formula for force:

F = (k) × (x)

to find the spring constant:

k = F / x = 1600 / 8 = 200 N/m

Now that we have the spring constant, we can plug in the values into the formula for work:

W = 1/2 × 200 ×  = 1/2 × 200 × 64 = 6400 J

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Which of the following is NOT an example of physical evidence?(a) Testimony of a witness(b) Fragments of broken glass near the accident scene(c) Fingerprints on the window(d) Footprints in the grass near the victim

Answers

The items discovered at the crime scene are referred to as physical evidence. These proofs may include fingerprints, handprints, footprints, cut marks, tool markings, and other items like knives.

Which of the following are instances of tangible proof?

Guns, weapons, body fluids, a bloodied knife or clothing, fired bullets, or expended casings are a few examples of physical evidence. DNA, fingerprints, footprints, or lipstick smudges on a glass or napkin are further examples of physical evidence. Investigating crimes requires physical evidence, which is crucial.

Which of these is the tangible proof?

Physical evidence includes things like artifacts discovered at crime scenes. The physical evidence includes things like tool marks, tidemarks, cut marks, fingerprints, footprints, and handprints. These are meticulously gathered and put through forensic analysis in the lab.

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why was class 6 called moon rocks, what do moon rocks have to do with a module called exposure and risk?

Answers

Moon rocks have to do with a module called exposure and risk because even if the substance is hazardous, if we're not exposed, we're not at risk.

The measurement of potential future loss resulting from a certain event or business action is known as risk and exposure, and it can be computed as the probability of the event multiplied by the predicted loss as a result of the risk impact.

Risk analysis includes the estimation of the probability that a specific incident will cause the company to suffer a loss. Therefore, it is crucial for management to comprehend, estimate, and take the appropriate actions to avoid or mitigate that risk.

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ArcsecondsA degree can be further divided into arcminutes and arcseconds. One degree contains 60 arcminutes, and one arcminute contains 60 arcseconds. Given this information, how many degrees is 15 arcseconds?

Answers

15 arcseconds is equal to 0.0042 degrees.

What is arcseconds used for?

Arcseconds are a unit of measurement used in astronomy to describe very small angles. They are used to express the angular size or separation of celestial objects, such as stars, planets, galaxies, and more.

Is arcseconds useful to study celestial objects?

Yes, it is useful for the study of celestial bodies. By measuring the accuracy of the instrument in arcseconds, astronomers can determine the precision of their observations and the ability of the instrument to resolve fine details in celestial objects.

To convert 15 arcseconds to degrees:

1 arcminute contains 60 arcseconds, so 15 arcseconds is equal to 15/60 = 0.25 arcminutes.

1 degree contains 60 arcminutes, so 0.25 arcminutes is equal to 0.25/60 = 0.0042 degrees.

Therefore, 15 arcseconds is equal to 0.0042 degrees.

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