A fan blade rotates with angular velocity given by ωz(t)= γ − β t2, where γ = 4.90 rad/s and β = 0.750 rad/s3 . part a calculate the angular acceleration as a function of time.

Answers

Answer 1
The angular velocity as a function of time is given by
[tex]\omega (t)=\gamma-\beta t^2[/tex]
where [tex]\gamma=4.90 rad/s[/tex] and [tex]\beta=0.750 rad/s^3[/tex]. The angular acceleration as a function of time is equal to the derivative of the angular velocity. If we calculate the derivative of w(t), we find:
[tex]\alpha(t)= \frac{d\omega}{dt} =-2\beta t[/tex]
and this is the angular acceleration of the fan blade.
Answer 2

Answer:

Angular acceleration, α = -2βt

Explanation:

Angular velocity of fan is [tex]\omega_{z(t)}=\gamma -\beta t^2[/tex]

[tex]\gamma=4.90\ rad/s[/tex]

[tex]\beta=0.750\ rad/s^3[/tex]

Angular acceleration is given by :

[tex]\alpha=\dfrac{d\omega}{dt}[/tex]

[tex]\alpha=\dfrac{d(\gamma -\beta t^2)}{dt}[/tex]

[tex]\alpha=-2\beta t[/tex]

Hence, the above equation is the angular acceleration as a function of time.   


Related Questions

Estimate the first three standing-wave frequencies of the vocal tract. use v=344m/s. (the answers are only an estimate, since the position of lips and tongue affects the motion of air in the vocal tract.)

Answers

Vocal tract behaves like a stopped pipe. 
The fundamental frequency for a stopped pipe is given with the following formula:
[tex]f_0=\frac{v}{4L}[/tex]
Higher harmonics are simply:
[tex]f=nf_0; n=1,3,5,7,9...[/tex]
Keep in mind that the stopped pipe produces only odd harmonics. 
Lenght of a human vocal tract is 17cm(for males, females have slightly shorter vocal tract). We can now calculate the answers.
[tex]f_0=\frac{344}{4\cdot 0.17}=505.88$Hz[/tex]
Now we can calculate higher harmonics:
[tex]f_3=3f_0=1517.64$Hz[/tex]
[tex]f_5=5f_0=2529.4$Hz[/tex]

A fixed mass of an ideal gas is heated from 50 to 80℃ at a constant pressure of (a) 1 atm and (b) 3 atm. for which case do you think the energy required will be greater? why?

Answers

Final answer:

The energy required to heat a fixed mass of an ideal gas from 50 to 80℃ is the same at both 1 atm and 3 atm, as it depends on the gas's heat capacity and the temperature change, not pressure.

Explanation:

The energy required to heat a fixed mass of an ideal gas from 50 to 80℃ would be the same for both cases of constant pressure at 1 atm and 3 atm. The reason behind this is that the amount of energy required to raise the temperature of an ideal gas is dependent on its heat capacity and the change in temperature, not the pressure at which it is heated. In both cases (a) and (b), the change in temperature is the same, so the energy required will also be the same.

A spring with a spring constant of 95 n/m is compressed a distance of 0.45 m from its relaxed position. by how much does the spring\'s potential energy change?

Answers

Final answer:

The potential energy change of a spring with a spring constant of 95 N/m compressed by 0.45 m is approximately 9.62 J, calculated using the formula U = 1/2 kx².

Explanation:

When a spring with a spring constant of 95 N/m is compressed a distance of 0.45 m from its relaxed position, the potential energy of the spring changes according to the formula for elastic potential energy, U = 1/2 kx², where 'k' is the spring constant and 'x' is the distance of compression or extension from the equilibrium position. In this case, the spring's potential energy change is calculated as U = 1/2 × 95 N/m × (0.45 m)².

By computing this, U = 1/2 × 95 × 0.45² = 0.5 × 95 × 0.2025 J. This results in U = 9.61875 J, so the potential energy of the spring changes by approximately 9.62 J.

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The potential energy of a book on a shelf is 50 J. If the book is now on the floor (below the shelf), its potential energy is

Answers

Hello!

If the book is now on the floor (below the shelf), its potential energy is 0 J.

Potential Energy
is defined as the energy that is capable of generating work as a consequence of the location of the object.

When the book is on a shelf, it is capable of generating work by falling from the shelf onto the floor by the force of gravity. This is called gravitational potential energy.

When the book is on the floor, it is no longer capable of generating work by falling, and its potential energy is 0 as it can't fall anymore and generate work.

Have a nice day!

Answer:

shelf a is increase shelf b is stay the same and shelf c is decrease

Explanation:

i did it on edu

The maximum kinetic energy of photoelectrons is 3.10 ev . when the wavelength of the light is increased by 50%, the maximum energy decreases to 1.50 ev . part a what is the work function of the cathode?

Answers

The work function of the cathode is found to be 0.10 eV, calculated by using the relationship between the maximum kinetic energy of photoelectrons, the photon energy, and the work function within the context of the photoelectric effect.

The question involves finding the work function of a cathode in a photoelectric effect scenario. We know that the maximum kinetic energy (KE) of photoelectrons is related to the photon energy (hf) and the work function (
W) as KE = hf - W. We were given that the kinetic energy decreased to 1.50 eV when the wavelength increased by 50%, which implies the initial wavelength corresponds to a photon energy that gives photoelectrons a kinetic energy of 3.10 eV. Let's express these energies in the equation form:

KE1 = hf1 - W, where KE1 = 3.10 eV

KE2 = hf2 - W, where KE2 = 1.50 eV and hf2 = hf1/1.5 (since the wavelength increased by 50%, energy decreases by the same factor)

By subtracting the second equation from the first, we eliminate W and can solve for hf1. Once we have hf1, we can solve for the work function using either of the equations:

3.10 eV - 1.50 eV = hf1 - hf1/1.5

1.60 eV = 0.5 * hf1

hf1 = 3.20 eV

Work function W = hf1 - KE1 = 3.20 eV - 3.10 eV = 0.10 eV

The work function of the cathode is therefore 0.10 eV.

The second law of thermodynamics dictates that ____. 1 point low-quality energy becomes static some high-quality energy is always degraded the amount of energy in the universe is constantly changing low-quality energy is required to get high-quality energy

Answers

The correct option for this completion exercise is: "Some high-quality energy is always degraded". Therefore, the complete text is shown below:
 
 The second law of thermodynamics dictates that "Some high-quality energy is always degraded.
 
 It is important to know that the "Thermodynamics" is defined as a branch of physics that studies the mechanical action of heat and the others forms of energy.

Final answer:

The second law of thermodynamics states that in any energy transfer, some high-quality energy is always degraded, leading to increased disorder or entropy in the system.

Explanation:

The second law of thermodynamics dictates that some high-quality energy is always degraded to a lower quality form during energy transfers. This law further implies that no energy transfer is completely efficient, thus resulting in an increase in entropy, or disorder, within a system. This is a fundamental concept in physics that puts an arrow on the transformations of matter and energy, signifying a one-way flow from usable to less-usable forms of energy. It is most commonly observed through heat loss, where energy spontaneously transfers from a hotter object to a cooler one, increasing the disorder of the system.

Using _________ permits scientists to temporarily enhance or depress activity in a specific area of the brain. A. TMS B. EEG C. MRI D. ESB

Answers

Using TMS permits scientists to temporarily enhance or depress activity in a specific area of the brain.

What is Transcranial magnetic stimulation ?

Transcranial magnetic stimulation (TMS) is a noninvasive procedure that uses magnetic fields to stimulate nerve cells in the brain to improve symptoms of depression. TMS is typically used when other depression treatments haven't been effective.

The electromagnet painlessly delivers a magnetic pulse that stimulates nerve cells in the region of your brain involved in mood control and depression. It's thought to activate regions of the brain that have decreased activity in depression.

a single Transcranial magnetic stimulation (TMS) pulse can cause disruption in the contralateral hand muscles for ∼200 ms. These different temporal windows of disruption across different brain regions

Transcranial magnetic stimulation targets the activity of nerve cells in your brain, which may alleviate depression symptoms. It could also have benefit for disorders like OCD, anxiety, and PTSD as well.

hence , correct option is  A. TMS (Transcranial magnetic stimulation)

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Where are the most reactive nonmetal elements found on the periodic table?

at the top of group 17
at the bottom of group 17
at the top of group 18
at the bottom of group 18

Answers

Answer: Option (a) is the correct answer.

Explanation:

Elements of group 17 are known as halogens whereas elements of group 18 are known as noble gases.

Noble gases have completely filled valence shell. Therefore, they are stable and does not react easily.

Whereas halogens have incompletely filled sub-shells, therefore, in order to gain stability they react readily with another atom.

Halogen atoms are also electronegative in nature. On moving down the group, the electronegativity decreases. Thus, the atom at the top of group 17, that is, fluorine is the most reactive non-metal because fluorine has high electronegativity so, it readily attracts an electron in order to completely fill its sub-shell.

Thus, we can conclude that at the top of group 17 most reactive nonmetal elements are found on the periodic table.

Answer: A

Explanation: 100 on edge

A sealed container holding 0.0262 l of an ideal gas at 0.989 atm and 72.3 °c is placed into a refrigerator and cooled to 40.1 °c with no change in volume. calculate the final pressure of the gas.

Answers

A boiling pot of water (the water travels in a current throughout the pot), a hot air balloon (hot air rises, making the balloon rise) , and cup of a steaming, hot liquid (hot air rises, creating steam) are all situations where convection occurs. 
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To calculate the final pressure of a gas after cooling, the combined gas law is used. The final pressure of the gas cooled from 72.3 0C to 40.1 0C in a constant volume is calculated to be 0.896 atm.

The student is asking to calculate the final pressure of an ideal gas after it is cooled from 72.3 0C to 40.1 0C without changing its volume. To find the final pressure, you can use the combined gas law, which relates the pressure, volume, and temperature of a gas. The combined gas law is P1/T1 = P2/T2, where P1 and T1 are the initial pressure and temperature, and P2 and T2 are the final pressure and temperature. Given that the initial pressure (P1) is 0.989 atm and the initial temperature (T1) is 345.45 K (72.3 0C + 273.15), and the final temperature (T2) is 313.25 K (40.1 0C + 273.15), and the volume remains constant, we can solve for the final pressure (P2).

Initial pressure (P1): 0.989 atm
Initial temperature (T1): 345.45 K
Final temperature (T2): 313.25 K
Final pressure (P2): ?
To solve for P2, we rearrange the combined gas law to P2 = P1 imes (T2 / T1):

P2 = 0.989 atm imes (313.25 K / 345.45 K)

P2 = 0.989 atm imes 0.906 = 0.896 atm (rounded to three significant digits)

Therefore, the final pressure of the gas would be 0.896 atm after it is cooled to 40.1 0C.

What does it mean to say that science is a “systematic” process?

Answers

done or acting according to a fixed plan or system; methodical.

Science is a systematic process, which means it follows a careful method that involves observation and experimentation. Through experimentation, information is collected that supports or refutes a scientist’s hypothesis.

edginuity answer


Suppose we are told that the acceleration a of a particle moving with uniform speed v in a circle of radius r is proportional to some power of r, say rn, and some power of v, say vm. Determine the values of n and m and write the simplest form of an equation for the acceleration.

Answers

The equation:
[tex]a = r^nv^m[/tex]

The units for that equation must be:
[tex](\frac{m}{s^2}) = (m)^{-1} ( \frac{m}{s} )^2[/tex]

Answer:

Acceleration, [tex]a=k\dfrac{v^2}{r}[/tex]

Explanation:

It is given that, the acceleration a of a particle moving with uniform speed v in a circle of radius r is proportional to some power of r and some power of v. Mathematically, it can be written as :

[tex]a\propto r^nv^m[/tex]

or

[tex]a=r^nv^m[/tex]...........(1)

Dimensional formula of a = [tex][LT^{-2}][/tex]

Dimensional formula of r = [tex][L][/tex]

Dimensional formula of v = [tex][LT^{-1}][/tex]

Using dimensional analysis in equation (1) as :

[tex][LT^{-2}]=[L]^n[LT^{-1}]^m[/tex]

[tex][LT^{-2}]=[L]^{n+m}[T^{-m}][/tex]

Equation both sides of equation as :

n + m = 1,  m = 2

This gives, n = -1

Use the value of m and n in equation (1) in order to get the formula :

[tex]a=kr^{-1}v^2[/tex]

[tex]a=k\dfrac{v^2}{r}[/tex]

Hence, this is the required solution.

What enables humans to "see" light in the infrared range of the electromagnetic spectrum? thermogram UV sensor RFID chip video camera

Answers

infrared is heat so thermogram will allow u to see it

Answer:

thermogram

Explanation:

A policeman's whistle has a _____. high pitch low amplitude low pitch

Answers

high pitch
...................

A policeman's whistle has a _____.

high pitch

A property unique to a conducting substance that determines its resistance is called

Answers

It is called "electric resistivity".
Resistivity is a property of every substance that specifies how strongly that material opposes to the flow of electric current through it.
The resistance of a piece of wire of length L and cross-sectional area A is related to the resistivity of the material, [tex]\rho[/tex], by the formula
[tex]R= \frac{\rho L}{A} [/tex]

Answer:

Electrical Resistivity

Explanation:

As we know that all different type of conductors has its different unique resistivity due to which all conductors will show different resistance for same shape and size.

As we know that the resistance of a conductor is given as

[tex]R = \rho\frac{L}{A}[/tex]

here we know

[tex]\rho[/tex] = resistivity

L = length of conductor

A = crossectional area of conductor

so here for all conductors the resistivity is unique property due to which all will show different resistance

A 2.03 kg book is placed on a flat desk. suppose the coefficient of static friction between the book and the desk is 0.522 and the coefficient of kinetic friction is 0.283. how much force is needed to begin moving the book?

Answers

The maximum static friction F is given by:

[tex]F = \mu N [/tex]

μ static friction coefficient
N normal force

The normal force N on a flat desk:
[tex]N = mg[/tex]

m mass
g gravitational acceleration = 9.81 m/s²

If the force exerted on the block is not larger then the maximum friction force, the block stays put. 

A 2.03 kg book is placed on a flat desk, with a coefficient of static friction between the book and the desk of 0.522 and a coefficient of kinetic friction of 0.283, requires a force of 10.4 N to start moving.

First, we have to calculate the Normal force (N), which, in a flat horizontal desk, has the same magnitude and opposite sense as the weight of the object (W). We can calculate its magnitude using the following expression.

[tex]|N| = |W| = m \times g = 2.03 kg \times \frac{9.81m}{s^{2} } = 19.9 N[/tex]

where,

m: mass of the objectg: Earth's gravity

To begin moving the book, we must overcome the highest static friction force (F), which can be calculated using the following expression.

[tex]F = \mu \times N = 0.522 \times 19.9 N = 10.4 N[/tex]

where,

μ: coefficient of static friction

A 2.03 kg book is placed on a flat desk, with a coefficient of static friction between the book and the desk of 0.522 and a coefficient of kinetic friction of 0.283, requires a force of 10.4 N to start moving.

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The value for the index of refraction for any material must be

Answers

Larger than one.

In fact, the index of refraction of a medium is the ratio between the speed of light in vacuum (c) and the speed of light in that medium (v):
[tex]n= \frac{c}{v} [/tex]
But the maximum speed the light can travel at is exactly c, the speed of light in vacuum: so v is always less (or equal, in case of vacuum) than c, and so n is always greater than 1.

If electrons of energy 12.8 ev are incident on a gas of hydrogen atoms in their ground state, photons can be emitted by the excited gas. how many different photon energies could you possibly observe?

Answers

A boiling pot of water (the water travels in a current throughout the pot), a hot air balloon (hot air rises, making the balloon rise) , and cup of a steaming, hot liquid (hot air rises, creating steam) are all situations where convection occurs. 
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Electrons with 12.8 eV energy can excite hydrogen atoms to several higher energy levels without ionizing them. Upon de-excitation, these atoms can emit a series of photons, each with a unique energy corresponding to the energy differences between these levels. Therefore, a variety of different photon energies could be observed, each corresponding to specific transitions between the energy levels.

When electrons of energy 12.8 eV are incident on hydrogen atoms in their ground state, the electrons can be excited to higher energy levels. To determine how many different photon energies can be observed, we must consider the energy levels that 12.8 eV can reach from the ground state. The ground state of hydrogen is -13.6 eV. An electron in this state can be excited to energy levels such as -3.4 eV (second energy level), -1.51 eV (third energy level), and -0.85 eV (fourth energy level), and so on, as long as the energy is less than 12.8 eV. However, an important point to note is that the energy required to excite an electron must match the energy difference between these levels precisely. Upon returning to the ground state or another lower energy state, these electrons will emit photons with energies corresponding to the differences in energies between these levels.

Wrap a fur coat around a thermometer. how does the temperature change?

Answers

Heat is not generated by fur coats, it's generated by the person wearing the coat, or the animal the fur is on. That's why when you get into bed on a cold night, the sheets are cold at first, but your own body heat warms them up.

how does a shovel make work easier for digging a hole?

Answers

A shovel makes work easier when digging a hole because it can gather a large amount of dirt in a short period of time. Also, shovels are very strong so they can break through roots and other objects in the ground to make a hole. Hope I helped!!! :)

Which ball (if either) has the greatest speed at the moment of impact

Answers

Whichever ball is placed higher, but if the balls are at the same level then both experience the same acceleration thus same speed.

Whichever ball is placed higher has the greatest speed at the moment of impact. Speed may be described as the distance an item goes in the amount of time.

What is speed?

The distance that an item travels in relation to the length of time it takes to do so may be used to define speed. In other terms, it is a determination of an object's motion's speed without direction Velocities are what we get when speed and direction are combined.

Speed may be described as the distance an item goes in the amount of time it needs to do so. To put it in another way, it is an estimate of how swiftly something travels. Speed is measured in metres per second, or m/s, since the distance is measured in meters and the time is measured in seconds. Whichever ball is placed higher has the greatest speed at the moment of impact.

Therefore, whichever ball is placed higher has the greatest speed at the moment of impact.

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A 58.5-kg athlete leaps straight up into the air from a trampoline with an initial speed of 8.8 m/s. the goal of this problem is to find the maximum height she attains and her speed at half maximum height.

Answers

1) Maximum height
This is a uniformly accelerated motion with initial speed [tex]v_0 = 8.8 m/s[/tex] and acceleration [tex]a=g=-9.81 m/s^2[/tex] (the negative sign is required because the acceleration is directed downward, in the opposite direction of the motion, which is directed upward). The distance covered (S) in a uniformly accelerated motion is related to the acceleration and the initial and final velocity by the relationship
[tex]2aS=v_f^2-v_i^2[/tex]
At maximum height, S=h and the final velocity is zero: [tex]v_f =0[/tex]. So we can solve for h and find the maximum height:
[tex]2ah=-v_i^2[/tex]
[tex]h= \frac{-v_i^2}{g}= \frac{-(8.8 m/s)^2}{-9.81 m/s^2}=3.95 m [/tex]

2) Speed at half maximum height
Half maximum height corresponds to [tex] \frac{h}{2}= \frac{3.95 m}{2}=1.975 m [/tex]. To find the speed at this height, we can use the same relationship used in the previous step:
[tex]2a \frac{h}{2}=v_f^2-v_i^2 [/tex]
where [tex]v_f [/tex] is the speed at half maximum height.
Re-arranging and substituting numbers, we find
[tex]v_f = \sqrt{v_i^2+(2g \frac{h}{2}) }= \sqrt{(8.8m/s)^2+2(-9.81m/s^2)(1.975m)}=6.22m/s [/tex]

A volleyball is dropped from a cliff and a soccer ball is thrown upward from the same position. When each ball reaches the ground at the bottom of the cliff, the volleyball will hit the ground with greater velocity.

Answers

The question is whether the statement is true or false.

The answer if false.

Explanation:

It is exactly the opposite. The soccer ball will hit the ground with greater velocity.

Since the soccer ball is thrown upward, when it returns to the same heigth from which it was throwm it will have a velocity downward, which will make that the soocer ball reaches the ground at the bottom of the clif with greater velocity than the volleball.

The greater the velocity with which the soccer ball is thrown upward, the greater its velocity when reaches the same point from which it was thrown, and the greater the velocity with which it will hit the ground at the bottom of the clif.

A forklift raises a 1020 N crate 3.50 m up to a shelf l. How much work is done by the forklift on the crate? The forklift does J work on the crate.

Answers

A forklift raises a 1,020 N crate 3.50 m up to a shelf. How much work is done by the forklift on the crate?

The forklift does  

⇒ 3,570 J of work on the crate. the answer is 3570

Answer : Work done on the crate is 3570 J

Explanation :

Force acting on forklift due to its mass is 1020 N

Distance covered in lifting it, d = 3.5 m

Mathematically, the work done is defined as :

[tex]W=F\times d[/tex]

So, [tex]W=1020\ N\times 3.5\ m[/tex]

[tex]W=3570\ J[/tex]

The forklift does 3570 J work on the crate.      

Hence, this is the required solution.                      

KCl(aq) + AgF(aq) → AgCl(s) + KF(aq) If 0.45 moles of potassium chloride are consumed completely and we start with twice as much silver fluoride, how many moles of solid silver chloride will be produced?

Answers

0.45 f we use 0.45 moles of KCl completely, we will produce the same amount\of AgCl. The fact about AgF Is irrelevant! 

Answer

0.45 moles of silver chloride will be produced

Explanation

The mole ratios for the reactions are 1 for all reactants and reactants. This means that 1 mol of potassium chloride will react with 1 mol of  silver fluoride to produce 1 mol of silver chloride and 1 mol of potassium fluoride.

If only 0.45 mol of potassium chloride is available to react with 0.9 mol of silver fluoride, the potassium chloride will be the limiting reagent in this reaction. This means that only 0.45 mol of each of the product will be formed. This means that only 0.45 mol of silver chloride will be formed.


.

which jet stream affects weather in south Africa

Answers

Northern subtropical jet stream.

In order to measure motion,one needs to observe?

A.an object’s position at different times.

B.an object’s position one time.

C.an object’s size and direction.

Answers

The answer would be A
I would say A, An object’s position at different times. :)

Please help!
Explain what happens to the pitch of a cell phone ring when the wavelength of a sound wave increases.

Answers

The correct answer is: Pitch of a cell phone ring decreases when wavelength of sound wave increases.

Explanation:
According to wave-equation:
v=fλ
f = v/λ

Where f = frequency (pitch) of the wave.
λ = wavelength of the wave
v = speed of the wave

The frequency of the wave is INVERSELY proportional to the wavelength of the wave. It means that if the wavelength of a sound wave increases the pitch (frequency) of a cell phone ring decreases.

Answer:

Pitch decreases

Explanation:

The number of oscillation or number of vibration per unit time is called the frequency of a sound wave. The frequency of sound wave is also called the pitch of the wave. It is denoted by f or [tex]\nu[/tex]. Its SI unit is hertz or Hz.

The speed of the sound wave is given by :

[tex]v=\nu\times \lambda[/tex]

It is clear form the above expression that the pitch of the sound wave is inversely proportional to the wavelength.

So, when the wavelength of a sound wave increases its pitch decreases.

A torque applied to a flywheel causes it to accelerate uniformly from a speed of 161 rev/min to a speed of 853 rev/min in 5.0 seconds. determine the number of revolutions n through which the wheel turns during this interval. (suggestion: use revolutions and minutes for units in your calculations.)

Answers

First of all, let's convert the time interval into minutes. Since
[tex]60 s: 1 min = 5 s: x[/tex]
we find
[tex]\Delta t = \frac{5.0 s}{60 s/min}=0.083 min [/tex]

Then we can find the angular acceleration of the flywheel:
[tex]\alpha = \frac{\omega _f - \omega_i}{\Delta t}= \frac{853 rpm-161 rpm}{0.083 min}=8337 rev/min^2 [/tex]

At this point, we can use the law of motion of an uniformly accelerated rotational motion. The angular displacement after a time [tex]\Delta t[/tex] is given by
[tex]\theta (\Delta t)= \omega_i t + \frac{1}{2} \alpha t^2 = [/tex]
[tex]=(161 rpm)(0.083 min)+ \frac{1}{2}(8337 rev/min^2)(0.083 min)^2 =42.1 rev[/tex]
So, the flywheel covers 42.1 revolutions.

A 60-kg skier starts from rest from the top of a 50-m high slope. if the work done by friction is -6.0 kj, what is the speed of the skier on reaching the bottom of the slope?

Answers

Answer:

  27.9 m/s

Explanation:

You want the speed of a 60 kg skier at the bottom of a 50 m high slope if 6 kJ of energy is lost to friction.

Potential energy

The potential energy of the skier at the top of the slope is ...

  PE = mgh

  PE = (60 kg)(9.8 m/s²)(50 m)

Kinetic energy

The kinetic energy of the skier at the bottom of the slope is this potential energy, less the energy lost due to friction.

  KE = PE -6000 J

That is related to the skier's speed by ...

  KE = 1/2mv²

So, the speed is ...

  [tex]v^2=\dfrac{2\cdot KE}{m}=\dfrac{2(mgh-6000)}{m}=2\left(gh-\dfrac{6000}{m}\right)\\\\\\v^2=2\left(9.8\cdot50-\dfrac{6000}{60}\right)=780\\\\\\v=\sqrt{780}\approx27.9\quad\text{m/s}[/tex]

The speed of the skier at the bottom of the slope is about 27.9 m/s.

Johnny was playing baseball with his friends and they noticed a bolt of lightning. They heard thunder seven seconds later. How far away is the storm?

Answers


That particular strike was very roughly 2.4 km (1.5 miles) away from them.

That's if you use 340 m/s (1120 ft/sec) for the speed of sound. 
But the air in the region for several thousand feet around a thunderstorm
is doing weird things to sounds that pass through it, so you can't use any
exact number for the speed of sound in a stormy area.

The only thing you can be absolutely sure of is that Johnny and his friends
need to round up their equipment and get in the house.  NOW ! 

2,317 meters on edg!!

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How has technology been used to address issues to sewage In the 1990s, a californian was camping in a volcanic area. he died after ignoring posted warnings and sleeping among a stand of dead trees. he was not scalded, not poisoned, not visibly injured, and the campground did not smell bad. what volcanic gas probably killed the camper and the trees? WILL MARK AS BRAINLIEST!! What are topics of brave new world.. any ideas? Please help! Thank you!! Jim and Gail invested a total of $3,600 in a stock, in a ratio of 5:7. The stock made $6,450 on top of the initial capital. If the payoff is done in the same ratio, how much does Gail get? DNA isolated from water samples collected in six different sites was prepared and anaylized by gel eletrophoresis for the presense of carp. the resulting gel is shown. lane 1 through 6 contain the DNA from each site. lane 7 and 8 represent the negative and positive controls. based on the bending patterns, how many sites tested positive for carp? the expression below is scientific notation for what number?? If your coworker is making a quick private call, you should ______. a. Ignore them, so you can concentrate on your work b. Listen carefully, so you can tell others what you hear c. Report them to your supervisor, so they can be punished d. Make your own phone call, so they see how it feels At standard pressure the boiling point of an unsaturated nano3(aq) solution increases when Most ocean waves obtain their energy and motion from _____. the moon's gravitational attraction the sun plate movement the wind A seed that is dispersed to an area far away from the parent plant will always face lessA- competition of space B- chance of self pollination C- favorable conditions for germination D- competition with the parent plants Julia removes her clothes with a "magnificent gesture". winston sees it in political terms. what does it mean? Consider a wire that has resistance r, length l and the cross-sectional areaa. the correct expression for the resistivity of that wire is: Let v be the vector from initial point P1 to terminal point P2. Write v in terms of i and j. 2) P1 = (0, 0); P2 = (3, -4) A woman with type a blood (whose father was type o) has children with a man that has type o blood. both individuals are heterozygous for the mn antigen. recall that mn blood group antigens are independent of the abo locus, and that the alleles are codominant. this question is from "The Watsons go to Birmingham"Which of the following statements best describes how Kenny is affected by his visit toBirmingham?A.He realizes how much he likes the warm weather of the South.B.He values the lessons he learned from Grandma Sands.C.He realizes how much he likes the cold weather of the North.D.He understands the dangers that come with discrimination in the South.@trippedmickdee Lucia was a longtime smoker, despite the pressure put on her by friends and relatives to stop. when she was recently diagnosed with throat cancer, a few of these friends and relatives expressed very little support or sympathy. this is likely because they viewed lucia's sick role as who was Athenian ruler advanced the cause of democracy by taking steps to allow all citizens to participate in their government. A three dimensional object was sliced parallel to its base and the result was a triangular cross-section.The same shape resulted from slicing the object perpendicular to its base.What three dimensional object fits this description? During the French and Indian War, France and Great Britain fought for control of North American territory. What impact did the end of the war have on the American colonies? Which of the following was a cash crop grown in the Caribbean region during the colonial era? A. Pine B. Silk C. Sugar D. Poppies