If Emily throws the ball at an angle of 30˚ below the horizontal with a speed of 12m/s, how far from the base of the dorm should Allison stand to catch the ball?

Assume the vertical distance between where Emily releases the ball and Allison catches it is 4.0m

Answers

Answer 1

Answer:

5 m

Explanation:

Allison is 4 m LOWER than Emily

vertical component =   12 * sin(-30) = -  6 m/s

vertical distance equation

     d = do + vot + 1/2 at^2

     - 4  = 0 +  -6 t  + 1/2 (-9.81) t^2      

              - 4.905 t^2 - 6t + 4 = 0       Use Quadratic Formula to find t =.479 s

So the ball flies with its HORIZONTAL  component for .479 s then Alli catches it

Horizontal component = 12 cos(- 30) = 10.4 m/s

   10.4 m/s  * .479 s = 4.977 =~ 5 m

Answer 2

Refer to the photo taken.

Answer: 4.98m

If Emily Throws The Ball At An Angle Of 30 Below The Horizontal With A Speed Of 12m/s, How Far From The

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which lists galaxy types in terms of star formation rate from making the most stars to making the fewest stars?

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Lists galaxy types in terms of star formation rate from making the most stars to making the fewest stars

1. Starburst galaxies

2. Irregular galaxies

3. Spiral galaxies

4. Elliptical galaxies

1. Starburst galaxies: These galaxies have the highest star formation rate, making up to 1000 times more stars than the Milky Way. This is due to their high gas content, which allows them to form stars quickly.

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What is the change in the internal energy of the system if 300 J of heat is removed to the system and the work done by the system is 100 J?

Answers

The change in internal energy is 200 J when heat is removed.

If the internal energy of the system is U1 in the initial state and U2 in the final state, then the change in internal energy is

ΔU = U2 – U1

In a chemical reaction, if UR is the internal energy

ΔU = UP – UR

The internal energy of the system changes as

(1) heat enters and exits  System

(2) Work becomes performed on or by the system

(3) Substance enters or leaves the system

(4) If U1 > U2, the extra energy that the system has in the initial state is dissipated and ΔU becomes negative.

(5) If U1 < U2, energy is absorbed in the process and ΔU is positive. ΔU is negative when energy is released and ΔU is positive when energy is absorbed.

Q=U+W

U=Q-W

U=300-100=200J

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why did the big bang not produce a significant proportion of elements heavier than helium?

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The big bang not produce a significant proportion of elements heavier than helium because in nuclear fusion hydrogen forms helium.

Light elements interact through nuclear fusion to produce heavier elements (up to iron). When interacting nuclei from low atomic number elements like hydrogen (atomic number 1) or its isotopes deuterium and tritium are involved, substantial amounts of energy are released. The first weapons to utilize nuclear fusion's enormous energy potential were thermonuclear ones, also known as hydrogen bombs, which were developed in the decade immediately following World War II. For a detailed history of this development, see nuclear weapon. Given the potential for peaceful uses of the process and the virtually limitless supply of fusion fuel on Earth, there has been a significant push to harness nuclear fusion for the generation of power.

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A cyclist peddles from 5ft/s to 12ft/s over the distance of 50 ft. how long did the acceleration take?​

Answers

Even though speed doesn't vary, acceleration is a change in motion that slows down, speeds up, or changes direction.

Acceleration is what?The term "acceleration" describes how velocity changes over time. Additionally, we must keep in mind that force is the result of mass times acceleration. We can put F = ma if such is the case.Now that we know there is no force acting on the body, the acceleration is the topic of the formula: a = 0/mand a = 0.Therefore, if the body's resultant force is zero, the acceleration will also be zero.Average acceleration is given by the formula [final velocity - starting velocity] /time.Instantaneous acceleration is equal to the slope of the graph of velocity vs time.The slope of the curve at one point will be higher than the average acceleration if acceleration is increasing.

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A mass is connected to a spring and is allowed to move horizontally. The mass is at a position L when the spring is unstretched. The mass is then moved, stretching the spring, and released from rest. It then moves with simple harmonic motion. At the instant that the mass passes through the position where the spring is unstretched, what can be said about its instantaneous acceleration?

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Maximum instantaneous speed occurs when the mass moves through the region where the spring is compressed.

Explain about the acceleration?

The rate at which the speed and direction of a moving object alter over time is known as acceleration. An item or point is said to be accelerated when it moves more quickly or more slowly in a straight path. Because the direction is always changing, travel on a circle accelerates even while the speed is constant.

The rate at which an object's velocity alters in relation to time is referred to as acceleration in physics. The acceleration of an object is the result of all the forces acting on it, according to Newton's Second Law. The meter per second squared is the unit of acceleration in the SI system (m s2).

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An atomic nucleus suddenly bursts apart (fission) into two pieces. Piece a with mass ma travels to the left with a speed of va. Piece b with mass mb travels to the right with speed vb. Show the velocity of piece b in terms of ma, mb and va.

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The velocity of the piece b is expressed as vb = (ma×va)/mb.

The Law of Momentum conservation states that the Momentum of particle before collision will be equal to momentum of particles after collision. If we assume that the mass of parent nuclei is M and its velocity is V, then according to law of momentum conservation

MV = - ma×va + mb×vb ( we use negative sign because part a travels left)

Now, the initial velocity of parent nuclei is zero because it was at rest that is V = 0. So, the equation will be

0 = - ma×va + mb×vb

ma×va = mb×vb

From this we get

vb = (ma×va)/mb.

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An IC with a switching rate of 4GHz and VDD=6V is dissipating 60W. What will be the power dissipation if we change VDD to 5V and the switching rate to 3GHz while keeping the activity factor the same?

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When an electronic or electrical gadget emits heat, it is said to be power dissipating.

Explain about the power dissipation?

An electric or electronic device that releases heat (or other waste energy) as a byproduct of its intended operation is said to be wasting energy (uncountable). Central processor unit power dissipation is a key component of computer architecture.

The process of power dissipation occurs on its own. Each resistor with a voltage drop across it will lose power as a result of the circuit. Due to the conversion of electrical energy into thermal energy, each resistor has a power rating.

A CMOS circuit's overall power dissipation can be expressed as the sum of three key elements: decrease in static power movement causes a loss of power (when the circuit is switching) when transistors are switched, there is a power loss that results in a short circuit.

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which seismic wave type causes the most destruction of property during an earthquake?

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An earthquake is a sudden release of energy in the Earth’s crust that creates seismic waves. These seismic waves travel through the Earth and can cause destruction of property and human life.

The type of seismic wave that causes the most destruction during an earthquake is the surface wave. Surface waves are formed when the energy released by an earthquake is transmitted through the Earth’s crust. These waves travel along the surface of the Earth and can cause extensive damage to structures near the epicenter of the earthquake. This is because surface waves have a greater amplitude than other types of seismic waves, meaning they are more powerful.

The energy released by these waves can cause buildings to collapse, bridges to buckle, and roads to crack. Surface waves can also cause landslides and soil liquefaction, which can lead to further destruction of property. Surface waves can also cause damage to human life. These waves can cause the ground to shake violently, which can cause people to fall and be injured. The shaking can also cause objects to fall from shelves or walls, which can lead to injury or death. Additionally, surface waves can cause tsunamis if the earthquake occurs near a body of water, which can lead to significant loss of life.

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an air-track glider undergoes a perfectly inelastic collision with an identical glider that is initially at rest. what fraction of the first glider's initial kinetic energy is transformed into thermal energy in this collision
a. 1/2
b. .5
c. 2/4
d. .502

Answers

In this collision, 1/2 of the initial kinetic energy of the first glider is converted into thermal energy.

In plain English, what is kinetic energy?

An object's strength as a result ofstrength an object has as a result or motion is known as kinetic energy. Toorder to accelerate an object, a force must be applied. Applying force requires effort on our part. When the work is done, power is transported to the thing, which causes it to move at the athe new, constant pace.

What does kinetic energy mean, or what are some instances?

The motion energy is known as kinetic energy, and it is manifested when a particle, object, or group if particles moves. Any moving object uses kinetic energy, including people walking, baseballs being thrown, food falling from tables, and charged particles in electric fields.

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An otrich with a ma of 163 kg i running to
the right with a velocity of 14 m/. Find the momentum of the otrich
Anwer in unit of kg · m/

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The momentum of the ostrich with mass 163 kg at velocity 14m/s would be 2282 kg·m/s

In physics, what is a momentum?

Momentum is characterized as the intensity of a body's motion. As momentum depends on both velocity and the direction of the body's motion, it is quantified by "mass velocity". Since velocity is a vector and mass is a scalar, momentum is a vector quantity. Mass times speed equals momentum.

p = m*v

= 163*14

= 2482 kgm/s

Is motion a form of force?

Although these physical variables are comparable, force and momentum differ from one another. Whether it is a pulling or pushing movement, force is often the outside influence acting on a body. The quantity of motion within a moving body is represented by momentum, on the other hand.

Is momentum the same as motion?

"The motion of an item equal to the product of its mass and its velocity" is referred to as momentum. When we say anything has momentum, we are referring to its precise mass and direction of motion.

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how do i graph distance and displacement

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Answer:

Explanation:'Distance' is the total length travelled by an object. The standard unit is the 'metre'.

A distance-time graph shows how far an object has travelled in a given time.

Distance is plotted on the Y-axis (left) and Time is plotted on the X-axis (bottom)

cherise sets identical magnetic carts on two tracks. at the end of each track is a blue magnet that cannot move. cherise can move the carts one space to the left or one space to the right. which movement will result in the largest increase in potential energy?

Answers

The movement that would raise potential energy the most is D. Since each movement moves a cart a fixed distance, they all have an equal impact on potential energy.

What does the term "potential energy" mean?

Depending on where various system components are located in relation to one another, potential energy can be thought of as stored energy. Stretching or compressing a spring increases its potential energy. When a steel ball is raised significantly above the earth as opposed to being dropped to the earth, it has a significantly higher potential energy.

What three types of energy have potential?

Potential energy exists in stones perched on a cliff's edge. The energy stored will be transformed into kinetic energy if the stones fall. High on the tree, branches have the potential to fall, which gives them vitality. Chemical potential energy exists in the food we eat.

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a person on a scale rides in an elevator. if the mass of the person is 60.0 kg and the elevator accelerates upward with an acceleration of 4.90 m/s2, what is the reading on the scale?

Answers

A person on the scales rides the elevator. The scale currently reads 294 Newton.

The elevator accelerates at 4.90 m/s2 and has a mass of 60.00 kg.

As we all know, the weight of an item is determined using the formula W = mass x acceleration, or 60 x 4.90.

It carries a 294 Newton weight.

Newton's first law of motion explains how things will behave when all external forces are equal. The first law, often known as the law of inertia, asserts that if an object's forces are uniformly distributed, its acceleration will be zero metres per second.

An object is considered to be in equilibrium and not accelerate when all forces are in balance. Newton proposed that a thing will only speed up if there is a net or unbalanced force acting on it.

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A peron i driving hi Lamborghini with a ma of 2,000 kg at 10 m/. He ee a police car around the corner and low down to 2m/. What i hi change in momentum? _ kgm/

Answers

The change in the momentum was found to be 16,000 kgm/s

Change in momentum ?

Situations involving impulse and momentum are all around us, whether we notice it or not. Before we begin evaluating these daily instances, we'll go over the fundamental ideas of impulse and momentum.

In physics, an impulse (Ft) is a force (F) operating over a certain time (t) that results in a change in momentum (p) of an object. The impulse-momentum theorem is the equation of impulse with the change in momentum.

the change in the momentum was Δp=mxΔv

Δp=2000x8

Δp=16,000 kgm/s

therefore the change in momentum was found to be 16,000kgm/s

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A 12-kg block on a horizontal frictionle urface i attached to a light pring (force contant = 0. 80 kN/m). The block i initially at ret at it equilibrium poition when a force (magnitude P = 80 N) acting parallel to the urface i applied to the block, a hown. What i the peed of the block when it i 13 cm from it equilibrium poition?

Answers

The speed of a 12 kg block on a frictionless horizontal surface attached to a light spring (force constant = 0.80 kN/m) when it is 13 cm from its equilibrium position is 1.32 m/s.

Law of conservation energy

The law of the conservation of energy states: “The total energy is constant in any process. It may change form or be transferred from one system to another, but the total is the same.”

Energy can be changed from one form to another (potential energy can be converted to kinetic energy) but the total energy in the domain remains the same.

The equation is:

Total energy = KE + PE

In a spring, the applied force is stored as potential energy which is given by

PE = ½ kx²

And kinetic energy:

KE =  ½ mv²

Remember that energy is the ability to do work and the work done is the force applied to an object and the resulting displacement.

So,

E = Fx

We have,

m = 12 kg

k = 0.8 kN/m

F = 80 N

x = 13 cm ⇒ 0.13 m

To determine the speed, use the equation:

Fx = ½ kx² + ½ mv²

80 (0.13) = ½ (0.8) (0.13)² + ½ (12)v²

10.4 = 0.00676 + 6v²

6v² = 10.39

v² = 1.73

v = [tex]\sqrt{1.73}[/tex]

= 1.315 ≈ 1.32 m/s

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Answer:

The answer should be about 0.77 m/s.

Explanation:

This is because there is a rightward force of 80 N (the applied parallel force that’s stated)
BUT, there’s also the leftward force which is the potential energy produced by the pulling of the spring,
which equals to: (0.5)*(k, or spring constant, or in this case 800N)*(x, or distance from equilibrium point, or in this case 0.13m)^2 = 0.5*800*0.13*0.13 = 6.76J
This is the work done by the spring, and since work equals Force times Distance(in this case 0.13m) we get 6.76=0.13F, solve for F, F=52N
NOTE: since this is a leftward force, it is a negative force.
This means that there’s a net force of 28N
Since: F=ma, 28=12a
Which is about: 2.33=a
Now, as we know, a equals change in velocity over change in time, so substitute into the equation above:
2.33 = deltaVelocity / deltaTime
deltaVelocity = finalVelocity(at 0.13m) - initialVelocity(in this case 0) = finalVelocity
deltaTime = finalTime(at 0.13m) - initialTime(in this case 0) = finalTime
And so: 2.33 = finalVelocity / finalTime
Rewrite: 2.33*(finalTime) = finalVelocity
As we know: (displacement) = (intialVelocity)*(time) + (0.5)*(acceleration)(time)^2
If we plug in everything we know: 0.13 = 0*t + 0.5*2.33*t^2
Simplify: 0.13 = 1.17*t^2
Solve for t: 0.11 = t^2
0.33 = t
Back to our previous equation: 2.33*(finalTime) = finalVelocity
Plug in 0.33 for time: 2.33*0.33 = finalVelocity = 0.7689
Round off: 0.77 m/s

*I apologize for not including units throughout all of my explanation, but it’s hard to write this much on my phone, and it’s currently 2am.
Also, some of my terms might probably not be the most commonly used, but it’s how i feel i can explain it best.
Also, judging by the wording of the question from the poster(which by the way has a bunch of misspellings), where they write “acting parallel to the surface is applied to the block, as shown” I’m led to believe it is the same problem I saw in my class, as a picture is displayed below with the parallel force pulling on the string, and the right answer was marked as 0.77 m/s.

**Please correct me if I’m wrong in any part of my explanation, as I’m still learning, but as I got this problem marked as correct, I’m led to believe I got this right ;-;

Until his seventies, henri lamothe (fig. 9-48) excited audiences by belly-flopping from a height of 12 m into 30 cm of water. Assuming that he stops just as he reaches the bottom of the water and estimating his mass, find the magnitude of the impulse on him from the water.

Answers

The magnitude of the impulse on him from the water is equal to -896 Ns.

Impulse is referred to as the integral of any force that is applied over a time interval for which it acts. In order to find the impulse we have the information as

Height = 12m

Mass = 64kg

The kinetic energy is expressed as 1/2mv² while potential energy is expressed as mgh. From the law of conversation:

1/2mv² = mgh

where m is mass of Henry, v is velocity, g is acceleration due to gravity and h is height/. Now, further solving

v = ✓2gh

v = ✓2 × ✓9.8 × ✓10

v = 14m/s

The change in velocity or the Impulse will be

Impulse = 64(0 - 14)

Impulse = 64 × -14

Impulse = -896Ns

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Complete Question:

Until he was in his seventies, Henri LaMothe excited audiences by belly-flopping from a height of 12 m into 30 cm. of water. Assuming that he stops just as he reaches the bottom of the water and estimating his mass to be 64 kg, find the magnitude of the impulse on him from the water.

a concave mirror has a focal length of 17 cm. the mirror forms an image located 42 cm in front of the mirror. what is the magnification of the mirror?

Answers

A concave mirror has a focal length of 17 cm. the mirror forms an image located 42 cm in front of the mirror. - 1.40 is the magnification of the mirror

What is magnification?

A microscope's capacity to generate a picture of an item at a scale that is bigger (or even smaller) than its real size is known as magnification. Only when it is feasible to discern more details of an object in the picture than when examining the object with the unassisted eye can magnification serve a beneficial function.

Given:

A concave mirror has a focal length of  = F = 17 cm

This mirror forms an image located = V =  42 cm

(in front of the mirror)

magnification of the mirror= M = ?  (Include the sign.)

It is known by the formula mirror

1/ F = 1/U + 1/V

where U is the distance  of the object form mirror = U = ?

thus,  FV / (V - F)  = U

or, (17)×(42) /(42 - 17) = 28.56 cm

thus, U = 28.56 cm

So, magnification of the concave mirror:

M = - V / U

or, M = - 40 cm / 28.56 cm

or, M = -  1.40

thus, magnification, M = - 1.40  

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if i want to find a sizeable collection of population ii stars in the milky way galaxy, where would be a good place to look?

Answers

If i want to find a sizeable collection of population ii stars in the milky way galaxy In a globular cluster high above the Galaxy's disk would be a good place to look.

What is milky way Galaxy?

The Milky Way is the galaxy that includes our Solar System, with the name describing the galaxy's appearance from Earth. A  hazy band of light seen in the night sky formed from stars that cannot be individually distinguished by the eye.

Where is Earth in the Milky Way?

Earth is located about halfway between the center of the Milky Way and its outer edge. Light at the galaxy's center takes 25,000 light-years to travel from Earth. A light-year is the distance light travels in one year.

There are around fifty galaxies in the Milky Way, the largest of which is the Large Magellanic Cloud. This satellite galaxy has a diameter of only 14,000 light-years. The Large Magellanic Cloud may have as many as 10 billion stars within it.

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What is the wavelength of light waves if their frequency is 5.0 x10 14 Hz *?

Answers

The wavelength of light waves 1.66 × 10⁶m if their frequency is 5.0 x10¹⁴ Hz. Light waves travels with very high speed.

In physical science, the frequency is the spatial time of an occasional wave — the distance over which the wave's shape repeats.[1][2] It is the distance between back to back relating points of similar stage on the wave, like two nearby peaks, box, or zero intersections, and is a quality of both voyaging waves and standing waves, as well as other spatial wave patterns. The reverse of the frequency is known as the spatial frequency. Frequency is regularly assigned by the Greek letter lambda (λ).

For electromagnetic wave ,we know an expression

c=ν × λ

where c is the defined as the speed of wave in any medium,

ν is  defined as the frequency of the wave and

λ is defined as the  wavelength of the wave.

We know that value of c=3×10⁸m/sec

Therefore, putting the values we get

=>3×10⁸=5.0 x10¹⁴ ×λ

=>λ=(5.0 x10¹⁴) / 3×10⁸

=>λ=1.66 × 10⁶m

Hence, wavelength is 1.66 × 10⁶m.

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Solomon arrives at his first day of work at a nuclear power plant. when putting on safety gear for the first time, he notices that everyone else is tucking their gloves into their sleeves, and he decides to do the same because he assumes this is part of the safety protocol. what kind of influence is solomon experiencing in this scenario?

Answers

The kind of influence which Solomon is experiencing in this scenario is generally referred to as informational social influence.

What is an informational social influence?

In Psychology, an informational social influence can be defined as a situation in which a person (individual) conforms to new information or arguments because he or she has a desire to be right (good and just), especially by looking to others who are believed to have more information.

This ultimately implies that, an informational social influence is a type of conformity which is associated with internalization and it typically occurs when a person (individual) is either unsure and skeptical about a situation or lacks knowledge.

In this context, we can reasonably infer that Solomon is experiencing informational social influence in this scenario.

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if 500-nm and 650-nm light illuminates twoslits that are separated by 0.50 mm, how farapart are the second-order maxima for thesetwo wavelengths on a screen 2.0 m away?

Answers

For 500nm the second order maxima 2m away would be 1cm

For 650nm the second order maxima 2m away would be 1.12 cm

How to calculate second order maxima?

Maxima and minima are the maximum or the minimum value of a function within the given set of ranges.

The separation between the second order maxima is: ymax=2cm y max = 2 c m .

Calculation:

Assumption of infinite source distance gives plane wave at  slit. So, all amplitudes are in phase.

Here, sepration between 2nd order maxima will be given by

= 2(yd) = 2 (m+1/2) lamda×D/d

= 2 (2+1/2) lamda D/d = 5 lamda D/d

Here, d= 0.50mm=0.50×10^-3m

D=2m

For lambda = 500nm

Separation = 5 lamda D/d = 5(5×10^-7m)(2m)/(0.5×10^-3m) = 1 CM

For lamda = 650nm

Separation = 5 lamda D/d= 5(650×10^-9m) (2m) /(0.5×10^-3m) = 1.12cm

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how long must a simple pendulum be if it is to make exactly one swing per five seconds? (that is, one complete oscillation takes exactly 10 ss .)

Answers

A simple pendulum's string needs to be 24.8 metres long in order to oscillate precisely once every 10 seconds.

Use the formula for a simple pendulum:

T = 2π √(L/g)

Where T is the period (time to complete a full oscillation), L is the length, and g is the acceleration due to gravity ≈ 9.81 m/s^2.

Since we need to find the Length of the string we'll solve the equation for L.

√(L/g) = T / (2π)

L = [T / (2π) ] ^2 * g = [ 10.0s / (2π) ]^2 * 9.81 m/s^2 = 24.8 m

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How do you solve a kinetic equation?

Answers

Kinetic equation can be solved by the formula (1/2*m*v²).

Kinetic equation is the equation used to solve the problems related to kinetic energy.

There are two basic forms of energy: potential and kinetic energy.

Potential energy is the energy that an object has relative to the position of another object.Mathematically, PE = mghKinetic energy is the energy an object has, when it is in motion.Kinetic energy can be caused by vibration, rotation or translation (moving from one place to another).

The kinetic energy of an object can be easily determined by an equation using the object's mass and velocity.

Mathematically, kinetic energy is given by Kinetic equation i.e. KE =  (1/2*m*v²).

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a 40.0-kilogram child exerts a 100.-newton force on a 50.0-kilogram object. the magnitude of the force that the object exerts on the child is

Answers

The child is subjected to a force of 100 N from the object.

Given,

Mass of the child, m = 40 kgThe force exerted by the child, F = 100 NMass of the object, M = 50 kg

There is an equal and opposite reaction to every action, according to Newton's third law of motion.

The amount of force the item applied to the child was equal to the force the child applied to the object.These forces are acting in the opposite direction.

Thus, the child is subjected to a force of 100 N as a result of the object.

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a 2500-n pile-driver ram falls 10 m and drives a post 0.1 m into the ground. the average impact force on the ram is

Answers

The average impact force on the ram is 250,000 N.

It is given to us that -

The weight of the pile driver is given as 2500 N

The pile driver ram falls at a height of 10 m

The post travels 0.1 m into the ground as a result of the pile driver

We have to find out the average impact force on the ram.

We know, with constant force, work can be represented as -

[tex]W=Force * distance[/tex] ---- (1)

where,

F = force applied in (N - m)

d = distance for which the force is applied

Similarly, the potential energy of a system can be represented as -

[tex]Potential Energy = mgh[/tex]

where,

m = mass of the system

g = acceleration due to gravity

h = height travelled by the system

Since weight, weight = mass * g, we can write the above formula for potential energy as -

[tex]Potential Energy = weight * height[/tex]  ----- (2)

Now, according to the given information in the problem, the work done by the post should be equal to the potential energy of the pile driver.

So, from equations (1) and (2), we can say that -

[tex]W = Potential Energy\\= > Force * distance = weight * height\\= > F * 0.1 = 2500 * 10\\= > F = \frac{2500 * 10}{0.1}\\ = > F = 250,000 N[/tex]

Thus, the average impact force on the ram is 250,000 N.

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If a ball has a momentum of 2.1 what is its velocity

Answers

Answer:

Below

Explanation:

Momentum =  m * v

momentum / m = v

2.1 / m = v

Cannot answer this with a specific numerical  value as we do not know the ball's mass (we should also have the units of momentum in question)

A standard four-drawer filing cabinet is 52 inches high and 15 inches wide. If it is evenly loaded, the center of gravity is at the center of the cabinet. A worker is tilting a filing cabinet to the side to clean under it.

Answers

52 inches high & 15 inches wide describe a typical four-drawer file cabinet. The cabinet's center of gravity is where it will be if it is equally loaded. To clean below it, an employee is tilting a file cabinet to the side. He tilts the cabinet at a 16.09-degree angle to prevent it from falling over.

The person is free to spin in any direction around this point.

For calculating angles:

H is the parallel to the direction and Tan = H W

the base and breadth of W

In our Situation

H=52 inches

W=15 inches

Tan∅ = 52 ÷ 15

∅ = [tex]Tan^{-1}(\frac{52}{15})[/tex]

∅ = 73.90°.

This is the angle at the corner

The total angle is:

∅ + [tex]\alpha[/tex] = 90

[tex]\alpha[/tex] = 90 - 73.90

[tex]\alpha[/tex] = 16.09°.

Before the cabinet topples over, he tilts it at a 16.09-degree angle.

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The question is -

A standard four-drawer filing cabinet is 52 inches high and 15 inches wide. If it is evenly loaded, the center of gravity is at the center of the cabinet. A worker is tilting a filing cabinet to the side to clean under it.

A. To what angle can he tilt the cabinet before it tips over?

water evaporates from a lake into the air, forming clouds. the clouds eventually form rain and it falls to the ground. in which spheres does this cycle happen?

Answers

The cycle of water or H₂O evaporating from lake and other bodies of water forming clouds and rain back to the surface of the earth happens in hydrosphere and stratosphere.

Hydrosphere is defined as water that is on the earth including surface of the planet such as ocean, lake and ice, underground source of water such as groundwater, as well as moisture in the air. The water, also known as H₂O gets heated up by the sun, evaporates into the air forming clouds happen in the atmosphere of the earth, specifically stratosphere, where most of the clouds are forming. After the clouds can no longer hold the accumulation of vaporization of the water, it will eventually get released back into the earth in the form of rain or snow.

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a traffic light of weight 100 n is supported by two ropes that make 30 degree angle with the horizontal. what is the vertical component of the tensions in each rope?

Answers

The vertical component of the tensions in each rope is 50 N.

Weight of traffic light = w = 100N

The angle at which the ropes are supported = θ = 30

After drawing Free Body Diagram,

The vertical component of tension in each rope =

= 2 X T X sinθ = w

= 100 = 2 X T X sin30

= T = 100 / ( 2 X sin30)

= T = 100 N

Now, tension on vertical component =  

= Tsin30

= 100 X 0.5

= 50 N

The term free body is usually associated with the motion of a free body diagram, a pictorial device used by physicists and engineers. In that context, a body is said to be "free" when it is singled out from other bodies for the purposes of dynamic or static analysis.

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if you were to tune the same string to a lower fundamental frequency of 55.0 hzhz , what tension ftftf t would be required in the string? express your answer in newtons.

Answers

Tension required in the string 17.424N .

How is frequency and tension in a string related?

A wave's speed increases with increased string tension, which raises its frequency (for a given length). By applying varied amounts of pressure, you can alter the string's length, the standing wave's wavelength, and the frequency.

A string can be raised to the pitch of the following note by applying too much tension, but it can be readily lowered by releasing tension. The pitch rises as the strain does. A string's length is also crucial. A string vibrates and makes music when it is supported at two places and pulled.

The fundamental frequency rises with increasing tension. The fundamental frequency rises with the weight of the string.

Here L = .6 , n = 6 , m = 14.4 x 10^(-3.)

Tension required in the string = (4 * L^2 * f^2) / n) * u

u=m/l

u= (14.4*10^-3 kg) /.6m

u = .024 kg/m

T = (4 x .6 x .6 x 55 x 55 / 6) x .024

 = 726 x .024 = 17.424 N

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