The precession rate of the gyroscope on the lunar base would be approximately 0.066 rad/s.
To solve this problem, we need to use the equation for the precession rate of a gyroscope: ω = (mgh) / (Iωr)
where ω is the precession rate, m is the mass of the gyroscope, g is the acceleration due to gravity, h is the height of the center of mass of the gyroscope above the point of contact with the ground, I is the moment of inertia of the gyroscope, and r is the radius of the gyroscope.
First, we need to find the moment of inertia of the gyroscope. We can assume that the gyroscope is a solid sphere, so its moment of inertia is:
I = (2/5)mr^2
where r is the radius of the sphere.
Simplifying, we get: 0.40 = (4.905 / r) * (5 / 2)
r = 4.905 / 1.0 = 4.905 m
So the radius of the gyroscope is 4.905 meters.
Now we can use the same equation to find the precession rate on the lunar base:
ωlunar = (mgh) / (Iωr)
ωlunar = (m * 0.165 * 9.81 * r) / ((2/5)mr^2 * 0.165 * r)
ωlunar = (0.165 * 9.81 / (2/5)) * (1 / r)
ωlunar = 2.03 / r
Substituting the value of r we found earlier, we get:
ωlunar = 2.03 / 4.905
ωlunar = 0.414 rad/s
So the precession rate of the gyroscope on the lunar base is 0.414 rad/s.
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How far would a car travel in 3 s if it's acceleration was 5 m/s²?
12.5 m
22.5 m
15.0 m
0.4 m
1.6 m
The distance a car will travel in 3 s if it's acceleration was 5 m/s² is 22.5m and is denoted as option B.
What is Acceleration?This is defined as the rate at which velocity changes with time and is usually in terms of both speed and direction which makes it a vector quantity.
Acceleration = velocity / time
5 m/s² = v / 3s
v = 15m/s.
To calculate the distance we can use:
D = 1/2*a*t²
= 1/2 × 5 × 3²
= 22.5m.
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A pulse has a speed of 0,5cm.s-¹. How far does it travel in 2,5s?
The pulse traveled 1.25 cm in 2.5s. with 0.5 cm/s
From the equation of motion in 2 dimensions d = v*t ...... ( i )
As
v= d/t so d=v*twhere the time taken is 2.5 s
the velocity of pulse is 0.5 cm/s
to find the distance covered in a given time which a velocity of 0.5 m/s
so from equation (i)
d= v*t..........................(from i)d = 0.5 * 2.5d= 1.25So the distance it will be covered is 1.25 cm
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Order the molecules from the strongest intermolecular force (top) to the weakest (bottom). Refer the table of electronegativities to help you.
The order of intermolecular forces among the given compounds will be as follows: H F > H Cl > H Br > H I
Electronegativity is defined as the property of the element to attract the shared pair of electrons towards itself.
Strongest intermolecular forces of attraction means that the electronegativity difference between the elements forming bond is more, more polar is the bond.
Electro negativities of the elements are:
Hydrogen: 2.1
Fluorine: 3.98
Chlorine: 3.16
Bromine: 2.96
Iodine: 2.66
Electro negativity difference in H F = 3.98 - 2.1 = 1.88
Electro negativity difference in H Cl = 3.16 - 2.1 = 1.06
Electro negativity difference in H Br = 2.96 - 2.1 = 0.86
Electro negativity difference in H I = 2.66 - 2.1 = 0.56
As, the electronegativity difference of H F is the highest, so it has the strongest intermolecular forces of attraction.
Thus, the order of intermolecular forces among the given compounds is H F > H Cl > H Br > H I.
The given question is incomplete. The complete question is attached in the below attachment.
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Efficiency of a machine if energy input is 7.55 and energy output is 5.05
The efficiency of this machine is 66.67%.
What is efficiency?
Efficiency is a measure of how well a machine or system is able to convert input energy into useful output energy. It is a ratio of the output energy to the input energy, expressed as a percentage.
An efficient machine or system is one that is able to convert a large portion of the input energy into useful output energy, with minimal energy loss. Conversely, an inefficient machine or system is one that loses a significant portion of the input energy as waste heat, sound, or other forms of energy that are not useful to the desired output.
The efficiency of a machine can be calculated using the formula:
Efficiency = (Energy Output / Energy Input) x 100%
In this case, the energy input is 7.55 and the energy output is 5.05, so we can calculate the efficiency as follows:
Efficiency = (5.05 / 7.55) x 100% = 66.67%
Therefore, the efficiency of this machine is 66.67%.
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Two pans of a balance are 79 cm apart.
The fulcrum of the balance has been shifted 0.99 cm away from the center by a dishonest shopkeeper.
By what percentage is the true weight of the goods being marked up by the shopkeeper?
Assume the balance has negligible mass.
Answer in units of %.
The true weight of the goods is being marked up by 0.0126%.
Solving for the percentage is the true weight of the goods being marked up by the shopkeeper:The percentage markup can be found using the formula:
distance moved x 100%
original distance
In this case, the original distance is 79 cm and the distance moved is 0.99 cm, so the formula would be:
= 0.99 x 100%
79
= 0.0126%
Hence, the true weight of the goods is being marked up by 0.0126%.
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A load of unknown ma i place in the rear of an 18-wheeler truck. The truck rear hock are intantly compreed 10. 0cm. Conider the hock acting a pring with a pring contant, k = 50,000N/m. What i the ma of the load the 18-wheeler jut picked up?
The mass of the load is 50,000N/m multiplied by 10.0cm, which is 500,000N.
Hooke's law states that the force (F) required to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, Fs = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness) and x is small in comparison to the total possible deformation of the spring.
B. Using Hooke's law, F = kx, where F is the force of the truck's hock, k is the spring constant, and x is the compression of the hock. Rearranging for mass, m = F/g, where g is the acceleration due to gravity. Thus, m = kx/g, or m = (50,000N/m * 10.0cm)/9.8m/s^2, which yields 500,000N.
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7. What is the power (in Watts) of the Pokemon Machamp that uses 237 N of force to move a huge boulder 83 m in 5s?
The power in watts of the Pokemon Machamp that uses 237N of force to move a huge boulder 83 m in 5s is 3,934.2Watts.
How to calculate power?Power refers to the measure of the rate of doing work or transferring energy.
The quantity that has to do with the rate at which a certain amount of work is done is known as the power. The power of a substance can be calculated using the following formula;
P = Work done ÷ time
Since work = Force × distance
Power = (Force × distance)/time
Power = (237 × 83)/5
Power = 3,934.2Watts
Therefore, 3,934.2Watts is the power of the Pokémon machamp.
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How did the heavy elements originate and what did they create?
Heavy elements, such as gold, silver, and mercury, as well as the elements that make up the earth's core, such as iron and nickel, originated in the hearts of stars. They were created through the process of nuclear fusion, which occurs when the temperatures and pressures inside a star are high enough to overcome the electrostatic repulsion between the positively charged nuclei of atoms.
What are heavy element?When fusion occurs, the nuclei of the atoms merge, creating a new, heavier element. This process is called nucleosynthesis. The fusion of lighter elements, such as hydrogen and helium, produces heavier elements, such as carbon, oxygen, and neon.
Therefore, most heavy elements, such as gold and platinum, are created in supernovae, massive explosions that occur when the fuel in a star runs out, and the star collapses under its own gravity. The intense pressure and temperatures that are created during the collapse cause the nuclei of atoms to fuse together, creating elements with atomic numbers higher than iron.
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A roller coaster car is on a track that forms a circular loop in the vertical plane. If the car is to just maintain contact with track at the top of the loop, what is the minimum value for its centripetal acceleration at this point?.
The minimum value for the roller coaster car’s centripetal acceleration at the top of the loop is g downward.
When the roller coaster car is going at less than the minimum speed, it means there will be too much force, and the roller coaster car will fall from the track. At the minimum speed, the centripetal force at the top of the loop will be exactly equal to the force of gravity, mg, since no normal force will be needed.
What is normal force?The normal force is the force which surfaces exert to prevent solid objects from passing through each other. Normal force is a contact force. If two surfaces are not in contact, they cannot exert a normal force on each other.
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Your classmate hernando wants to draw lines that create a sense of energy and movement in his drawing. Which type of line would you recommend to him to best articulate this feeling?.
I would suggest him to use curved lines to articulate the energy and movement motion n his drawing
Arcs of lines may be referred to as curves segments, rays, or lines depending on how they are linked.
A typical illustration of a curve is the arc of a circle, often known as a circular arc. The term "great arc in a sphere" refers to an arc of a great circle or a great ellipse or a spheroid.The numerous types of curves include simple curves, closed curves, simple closed curves, transcendental curves, and algebraic curves.
A curved line that encircles a central point is what is referred to be a circle. The line is continuously and uniformly curved. If a circle can be folded into two identical pieces, it is considered to be symmetrical.
Thus curved lines can be used to best articulate the feeling.
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Answer:
Curved
Explanation:
A skydiver is falling at a constant velocity of m/s. Gravity is producing a downward force of n. What is the force of drag acting on the skydiver?.
The force of drag acting on the skydiver is 795 N upwards.
When a parachutist jumps from a plane, only one force is acting on him, namely the force of gravity (the weight of the parachutist) so that the parachutist moves down. When jumping from a height when parachuting, the force of gravity will pull us down very quickly. Thus, we will freefall very quickly
Given in the questions: Constant velocity = 54.4 m/s
According to Newton's first law, when the net resultant force on an object is 0, the object is moving at a constant speed or is at rest and remains at rest. So, we know the resultant force is 0.
Now we use Newton's second law.
Resultant force = ma
Resultant force = Driving force (acting downwards) - Resistive force (acting upwards)
0 = mg (weight) - drag
drag = mg
drag = 795N upwards
Complete the questions:
A skydiver is falling at a constant velocity of 54.4 m/s. Gravity is producing a downward force of 795 N. What is the force of drag acting on the skydivers?
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Which word best describes covalent bonding?
Answer: Option (a)
Solution: The covalent bond is best described as the bond where one atom shares its electron(s) with another neighboring atom to become stable. Here, the word “co” represents jointly and “valent” represents valency shared by them. Therefore, option (a) is the most appropriate choice amongst all the provided options.
Can anyone help me answer this question?
______ is an instrument that measures small electric currents due to changing magnetic fields.
a) Ammeter
b) Galvanometer
c) Voltmeter
d) Dynanometer
Calculate the change in the kinetic energy (ke) of the bottle when the mass is increased. Use the formula ke = one half. Mv2, where m is the mass and v is the speed (velocity). Assume that the speed of the soda bottle falling from a height of 0. 8 m will be 4 m/s, and use this speed for each calculation. Record your calculations in table a of your student guide.
Kinetic energy is affected by the mass (m) and speed (v) of an object. If an object with mass m moves with speed v, then it can be said that the object has a kinetic energy of:
KE = 1/2 x mv2
In the given problem:
The speed of the soda bottle from a height of 0.8 meters is 4 m/s.
If the mass of the soda bottle is 0.125 kg, the KE is:KE = 1/2 x mv2
KE = ½ x 0.125 x (4)2
KE = ½ x 0.125 x 16
KE = 1 Kgm²/s²
If the mass of the soda bottle is 0.250 kg, its KE is:KE = 1/2 x mv2
KE = ½ x 0.250 x (4)2
KE = ½ x 0.250 x 16
KE = 2 Kgm²/s²
If the mass of the soda bottle is 0.375 kg, the KE is:KE = 1/2 x mv2
KE = ½ x 0.375 x (4)2
KE= ½ x 0.375 x 16
KE = 3 Kgm²/s²
If the mass of the soda bottle is 0.500 kg, its KE is:KE = 1/2 x mv2
KE = ½ x 0.500 x (4)2
KE = ½ x 0.500 x 16
KE = 4 Kgm²/s²
Complete the questions is:
Calculate the change in the kinetic energy (KE) of the bottle when the mass is increased. Use the formula KE = mv2, where m is the mass and v is the speed (velocity). Assume that the speed of the soda bottle falling from a height of 0.8 m will be 4 m/s, and use this speed for each calculation. Record your calculations in Table A of your Student Guide.
When the mass of the bottle is 0.125 kg, the KE is kg m2/s2. When the mass of the bottle is 0.250 kg, the KE is kg m2/s2. When the mass of the bottle is 0.375 kg, the KE is kg m2/s2. When the mass of the bottle is 0.500 kg, the KE is kg m2/s2.Learn more about kinetic energy at https://brainly.com/question/25959744
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A train tart from ret ,it move through 1km in 100 with uniform acceleration. What will be it peed at the end of 100
The train velocity (speed) at the end of 100km will be 10m/s.
The train starts from rest and moves through a distance of 1 km in 100 km with a uniform acceleration. The formula for velocity at the end of a certain time period is calculated by the following formula:
where:
v = final velocity (speed)
u = initial velocity (0 m/s, since the train starts from rest)
a = acceleration (0.01 m/s^2)
t = time (100,000 seconds, since the train travels 1 km in 100 km)
v = u + at
v = 0 + (0.01 m/s²)(100,000 s)
v = 10 m/s
It means at and after 100km onward, the train will be moving at a speed of 10m/s. The train's velocity increases linearly with time due to the uniform acceleration, and after 100 km of travel, it reaches a final velocity of 10 m/s.
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At an equilibrium position of a pendulum, the is at a maximum.
At an equilibrium position of a pendulum, the velocity is at a maximum.
The pendulum hangs straight down while it is at rest, not swinging. This position is called the equilibrium position. It is practical to consider this position to be the origin or reference position indicated in the definition of position.
The pendulum's lowest point is where the equilibrium point is located. It is called this because, there are no forces acting on it. This is the point at which the pendulum would be at a stable, motionless equilibrium.
It is also the time when the pendulum, after being let go from above, totally converts the gravitational potential energy it began with into kinetic energy. As such, this means that at this point the pendulum is at its maximum velocity.
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A weight suspended from a spring is seen to bob up and down over a distance of 28 cm twice each second. Find the frequency.
Since frequency is the reciprocal of period, the frequency of the spring is 2 Hz
What is Frequency ?Frequency can be defined as the number of complete revolution per second made by a vibrating body.
Given that a weight suspended from a spring is seen to bob up and down over a distance of 28 cm twice each second.
This means that its Period T = t/n
Where
t = time taken = 1 sn = number of oscillations = 2T = 1/2 = 0.5 s
Frequency is an inverse of period. That is,
F = 1/T
F = 1/0.5
F = 2 Hz
Therefore, the frequency of the spring is 2 Hz
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What is MLA formatting used for?
MLA style is most commonly used to cite sources within the language arts, cultural studies, and other humanities disciplines.
MLA Style Citation Writing FormatThe Modern Language Association or better known as the MLA style is a citation issued by MLA with a simple design. The aim is to make it easier for writers to write citations. Usually this style is used in the fields of Humanities and English.
the characteristics of MLA Styles' writing are:
The author's name is written in full with the last name written in front The year of publication is put at the end Quotations on the page simply by writing the last word and the page number of the quote On certain media, information on media type and format can be added, for example print or online On online sources, it is enough to display the month and year accessed without mentioning the online source.Learn more about MLA style at https://brainly.com/question/27750517.
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Calculate the wavelength and energy of light that has a frequency of 1. 5 x 1015 hz.
Answer:
Explanation:
I will assmune that "frequency of 1. 5 x 1015 hz" is actually "frequency of 1. 5 x 10^15 hz"
The wavelength and frequency of light are related by the expression C = λ f , where C is the speed of light (3x10^8 m/s), λ is the wavelength (in m), and f is the frequency (in 1/sec or Hz).
C = λ f
(3x10^8 m/s) = λ (1. 5 x 10^15 sec^-1)
λ = (3x10^8 m/s)/(1. 5 x 10^15 sec^-1)
λ = 2.00x10^-7 m
E=hf, where h is Plank's constant (6.62606957×10-34 J·s)
E = (6.62606957×10-34 J·s)*(1.5x10^15s^-1)
E = 9.94x10^-19 J
A 1.3 kg ball of putty is released from rest and falls vertically 1.2 m until it strikes a hard floor, where it comes to rest in a 0.025s time interval. What is the magnitude of the average force exerted on the ball by the floor during the collision?
The magnitude of the average force exerted on the ball is 4992 N.
What is force?Force is the product of mass and acceleration. The S.I unit of force is newton(N)
To calculate the magnitude of the average force, we use the formula below.
Formula:
F = 2ms/t².................... Equation 1Where:
F = Forcem = Masss = Distancet = TimeFrom the question,
Given:
m = 1.3 kgs = 1.2 mt = 0.025 sSubstitute these values into equation 1
F = 2×1.3×1.2/0.025²F = 4992 NHence, the average force is 4992 N.
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The free-fall acceleration at the surface of planet 1 is 16 m/s2. The radius and the mass of planet 2 are twice those of planet 1.
The free-fall acceleration at the surface of planet 2 is g = 8 m/s². The result is obtained by comparing the accelerations due to gravity on planet 1 and planet 2.
What is the formula of free-fall acceleration?The free-fall acceleration can be counted by the following formula.
g = GM/R²
Where
g = acceleration due to gravity (free-fall acceleration)G = universal gravitational constantM = mass of an objectR = distance from the center of mass of object.Planet 1 has the free-fall acceleration at its surface of 16 m/s². Planet 2 has the radius and the mass twice those of planet 1.
Find the free-fall acceleration at the surface of planet 2!
If g, M, and R are the parameters of planet 1, let's say g', m, and r are the parameters of planet 2. So,
m = 2Mr = 2RThe acceleration due to gravity on planet 2 is
g/g' = (GM/R²)/(Gm/r²)
g/g' = (M/R²)/(m/r²)
g/g' = Mr²/mR²
g/g' = M(2R)²/(2M)R²
g/g' = 4MR²/2MR²
16/g' = 2/1
g' = 16/2
g' = 8 m/s²
Hence, the acceleration due to gravity on planet 2 is 8 m/s².
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A metal sphere as a charge of +2.3 x 10^-6 C and lies 2 meters away from another metal sphere of unknown charge.
If the attractive force present between the spheres is 0.05 N, what is the charge on the second sphere?
The charge is on the second sphere 9.67×10⁻⁶ C.
What is charge?Charge is the product of current and time.
To calculate the charge on the second sphere, we use the formula below
Formula:
Q = Fr²/kq.................. Equation 1Where:
F = Force on both sphereq = Charge on the first sphereQ = Charge on the second spherer = Distance between the spherek = Coloumb's constantFrom the question,
Given:
q = 2.3×10⁻⁶ NF = 0.05 Nr = 2 mk = 8.99×10⁹ Nm²/C²Substitute these values into equation 1
Q = (0.05×2²)/(8.99×10⁹×2.3×10⁻⁶)Q = 9.67×10⁻⁶ CHence, the charge is 9.67×10⁻⁶ C.
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The largest moon in the solar system is Ganymede, a moon of Jupiter. Ganymede orbits at a distance of 1.07×109m from the center of Jupiter with an orbital period of about 6.18×105s. Find the mass of Jupiter.
The moon of Jupiter, Ganymede is the largest moon in the solar system. The mass of Jupiter when the orbital period and the distance from the centre of the orbit are given is calculated to be 1.57 × 10²⁷ kg.
The time required to complete one revolution in an orbit around the planet is known as the Orbital Time period of motion. The orbital distance's cube is directly proportional to the square of the time period.
Given that,
Orbital distance R = 1.07 × 10⁹ m
Time period T = 6.18 × 10⁵ s
We know the formula of time period as,
T² = 4 π² R³/ G M
where, M is the mass of Jupiter
G is the gravitational constant
(6.18 × 10⁵)² = 4 π² (1.07 × 10⁹)³/(6.67 × 10⁻¹¹) M
Making M as subject, we have,
M = 4 π² (1.07 × 10⁹)³/[ (6.67 × 10⁻¹¹) (6.18 × 10⁵)²] = 1.57 × 10²⁷ kg
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25 bullets about Pierre&Marie Curie,or the creation of the polonium and or Radium
In 1898, the Curies' study of pitchblende led to the discovery of both the substances radium and polonium.
What was the purpose of pitchblende?The original purpose of pitchblende extraction was to create coloring agents for the glassmaking industry. By analyzing pitchblende, the German geologist Klaproth discovered uranium in 1789. A.H. Becquerel made the discovery of radioactivity in 1896. A naturally occurring organic substance is pitchblende. It is the main source of uranium ore, which is present there as uranium oxide, or U3O8. Risks include those brought on by radiation and dust particles.
What about pitchblende was unexpected?Even more astonishingly, Marie discovered that a uranium rock known as pitchblende included two potently radioactive new elements that she dubbed polonium and radium after her native Poland.
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Question 3 of 10
Brittany learns that her primary care doctor will be switching to electronic
health records. Although she understands that this will improve her care, she
expresses concern to her doctor. What is likely one of her concerns?
A. The risk of her medical information being misused or shared.
B. Lack of personal access to her files.
C. Loss of revenue by her doctor's office.
D. Increased cost of a doctor visit.
SUBMIT
At the time of care, giving patients accurate, complete, and current information. facilitating quick access to patient records to improve coordination and effectiveness of service.
Do you believe switching from paper records to electronic records is beneficial to a health care practice why or why not?EHRs have the potential to be more effective than paper records because they permit centralised chart management and quicker access to patient data from any location with condition-specific inquiries.The term "Electronic Health Record" (EHR) refers to an electronic version of a patient's medical history that is kept on file by the healthcare provider over time. It may contain all of the essential administrative clinical data pertinent to that person's treatment by that provider, such as demographics, progress notes, issues, and medication information.contain information on a patient's medical history, diagnosis, prescriptions, treatment plans, dates of vaccinations, allergies, radiology images, and results of lab and test work.Providers should have access to evidence-based instruments that they may use to decide how to treat a patient.Streamline and automate provider workflow.To learn more about coordination refer to:
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A person pushes a lawnmower across 20 meters of grass. If the person pushes with 37 Newtons of force while pushing downward at an angle of 15 degrees below the horizontal, what is the amount of work the person does on the lawnmower?
Therefore, the amount of work done on the lawnmower is: W=Fdcosθ=(37 N)(20 m)cos15∘≈710J if is the amount of work the person.
What is the simple definition of work?Work is force applied over distance. Examples of work include lifting an object against the Earth's gravitation, driving a car up a hill, and pulling down a captive helium balloon. Work is a mechanical manifestation of energy. The standard unit of work is the joule (J), equivalent to a newton - meter.
What is work and energy?Work is defined as transferring energy into an object so that there is some displacement. Energy is defined as the ability to do work. Work done is always the same. Energy can be of different types such as kinetic and potential energy.
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An object is moving at a speed of 920 yards every 3. 5 hours. Express this speed in miles per week. Round your answer to the nearest tenth.
The required speed of 920 yards every 3. 5 hours is terms of miles per week is 25 miles/week.
What is speed?Speed is what it means. the speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
According to question:
We have,
Speed = 920/3.5 = 262.85 yd/hour
We know that
1 yard/hour = 0.0954545 mile/week
So,
262.85 yd/hour = 25 miles/week
Thus, speed of 920 yards every 3. 5 hours is 25 miles/week.
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Find , the length of , the sum of and . Express in terms of , , an angle , using radian measure for known angles.
Length of : |AB| = √(x2-x1)2 + (y2-y1)2
|AB| = √(x2-x1)2 + (y2-y1)2
|AB| = √(x2-x1)2 + (y2-y1)2
Sum of : x1+x2+y1+y2
Angle : θ = arctan2(y2-y1, x2-x1)
What is length?Length is a measure of distance in one dimension, typically described as the longest side of an object, such as a line, a road, or a wall. The most common unit of measurement is a linear one, such feet, miles, centimetres, or millimetres. Length can also be measured in three-dimensional units, such as inches, feet, yards, and miles, as well as in other units such as cubits, rods, and fathoms. In terms of physics, length is the physical property of an object that describes its overall size and shape, or the distance between two points.
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Use the information from the graph to answer the
question.
Velocity (m/s)
45
40
35
30
25
20
15
Velocity vs. Time
0 2
4
6 8
Time (s)
10
12
What is the acceleration of the object?
m/s²
The velocity after 8 seconds 15 m/s. the acceleration of the object m/s² 2.
What is velocity ?
Velocity is a vector quantity that expresses both the speed and direction of an object's motion. It can be described in terms of both magnitude and direction, and is measured in terms of meters per second (m/s). Velocity is an important concept in physics because it is used to describe the motion of objects. In addition, it is used to calculate the force of an object, the acceleration of an object, and the momentum of an object.
Velocity is an important concept in physics and engineering, as it is used to measure the rate at which objects move, as well as the rate of change of an object's motion. Velocity can also be used to calculate the work done on an object and to determine the direction of an object's motion.
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When a driver brakes an automobile, friction between the brake disks and the brake pads converts part of the car's translational kinetic energy to internal energy. If a 1600 kg automobile traveling at 42.8 m/s comes to a halt after its brakes are applied, how much can the temperature rise in each of the four 3.5 kg steel brake disks? Assume the disks are made of iron (cp = 448 J/kg·°C) and that all of the kinetic energy is distributed in equal parts to the internal energy of the brakes.
The temperature can rise 234° C in each of the four 3.5 kg steel brake disks.
What is law of conservation of energy?Energy cannot be created or destroyed, according to the law of conservation of energy. However, it is capable of change from one form to another. An isolated system's total energy is constant regardless of the types of energy present.
According to law of conservation of energy:
1/2 × 1600 × 42.8² = 4 × 3.5 × 448 × Δt
Δt = (1600 × 42.8² )/( 2 × 4 × 3.5 × 448)
Δt = 234° C.
Hence, the temperature can rise 234° C in each of the steel brake disks.
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