The activation energy of a reaction if it has the following rate constants is calculated to be 126.8 kJ/mol.
To calculate the activation energy of a reaction, we can use the Arrhenius equation:
k = A × e^(-Ea/RT)
where,
k is the rate constant
A is the pre-exponential factor
Ea is the activation energy
R is the gas constant
T is the temperature in Kelvin
We have two rate constants at different temperatures, so we can set up two equations:
k₁ = A × e^(-Ea/RT₁)
k₂ = A × e^(-Ea/RT₂)
We want to solve for Ea, so we can take the natural logarithm of both sides of each equation:
ln(k₁) = ln(A) - Ea/RT₁
ln(k₂) = ln(A) - Ea/RT₂
We can subtract the second equation from the first to eliminate ln(A):
ln(k₁) - ln(k₂) = Ea/R × (1/T₂ - 1/T₁)
Now we can solve for Ea:
Ea = -R × (ln(k₁) - ln(k₂)) / (1/T₂ - 1/T₁)
Plugging in the given values, we get:
Ea = -8.314 J/mol/K × (ln(6.20 × 10⁻⁴) - ln(2.39 × 10⁻²)) / (1/760 K - 1/700 K)
Ea ≈ 126.8 kJ/mol
Therefore, the activation energy of the reaction is approximately 126.8 kJ/mol.
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Question 1 (1 point)
A massive asteroid in our solar system's asteroid belt, having an estimated mass of 2.6 x
1021 kg and an orbital speed of 14900 m/s. Determine the amount of kinetic energy
possessed by the asteroid.
Answer:
17.8 x 10^29 J
Explanation:
The kinetic energy (KE) of an object can be calculated using the formula:
KE = 0.5 * m * v^2
where m is the mass of the object and v is its velocity.
In this case, the mass of the asteroid is 2.6 x 10^21 kg, and its velocity is 14900 m/s. Plugging these values into the formula:
KE = 0.5 * 2.6 x 10^21 kg * (14900 m/s)^2
KE = 0.5 * 2.6 x 10^21 kg * 22.11 x 10^7 m^2/s^2
KE = 0.5 * 2.6 x 10^21 kg * 22.11 x 10^7 m^2/s^2
KE = 17.8 x 10^29 J
The asteroid possesses 17.8 x 10^29 J of kinetic energy.
Aɳʂɯҽɾҽԃ Ⴆყ ɠσԃKEY ꦿ
an alpha particle (two protons and two neutrons) moves from a to c. what is the change in potential energy of the system (alpha source charges)? note: a neutron is electrically neutral (no net electrical charge).
The change in potential energy of the system depends on the charges and distances of the source particles, as well as the charge of the alpha particle and the distances between the alpha particle and the source particles.
To calculate the change in potential energy of the system, we need to know the electric potential at points A and C, and the charge of the particles involved.
If we assume that the alpha particle is moving in a vacuum and that the source charges are fixed, then we can use the formula for the potential energy of a point charge in an electric field:
U = qV
where U is the potential energy, q is the charge of the particle, and V is the electric potential at the point where the particle is located.
Since an alpha particle consists of two protons and two neutrons, its net charge is +2e, where e is the elementary charge. We also need to know the charges of the source particles.
Let's assume that the source charges are two positive point charges, located at points A and B, respectively. We can also assume that the alpha particle starts at point A and moves to point C, which is at a distance r from point A and a distance s from point B.
The electric potential at point A, VA, is given by:
VA = k(q1/r1 + q2/r2)
where k is the Coulomb constant, q1 and q2 are the charges of the source particles at point A and B, respectively, and r1 and r2 are the distances between the source particles and point A.
Similarly, the electric potential at point C, VC, is given by:
VC = k(q1/(r+s) + q2/s)
The change in potential energy of the alpha particle as it moves from point A to point C is:
ΔU = Uc - Ua = qVC - qVA
Substituting the values of VA and VC, we get:
ΔU = qk(q1/(r+s) + q2/s) - qk(q1/r1 + q2/r2)
Simplifying this expression, we get:
ΔU = qk(q1/r1 - q1/(r+s) + q2/s - q2/r2)
So, the change in potential energy of the system depends on the charges and distances of the source particles, as well as the charge of the alpha particle and the distances between the alpha particle and the source particles.
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This is an AP physics problem on the subject of Conservation of Momentum
The Momentum is the product of mass and velocity.
What is the momentum?Momentum is a measure of an object's motion. It is defined as the product of an object's mass and its velocity. In physics, momentum is a conserved quantity, which means that the total momentum of a closed system remains constant unless acted upon by an external force.
Final momentum of Ax = 1 * 2 * cos 30 = 1.73 Kgm/s
Final momentum of Ay = 1 * 2 * sin 30 =1 Kg m/s
Final momentum of Bx = 1 * Vs * cos 30
Final momentum of By = 1 * Vy * sin 30
The velocity is then;
1 * 5 + 0 = (1 * 2) + (1 * vs)
5 = 2 + vs
Vs = 3 m/s
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consider a 20 mm x 20 mm x 1 mm silicon die that dissipates 50 w. the electrical circuitry is on the back side of the die and all the heat is transferred from the front side and is dissipated from there. if the thermal conductivity of silicon is 125 w/moc, what is the temperature difference across the die?
A temperature difference (T) is the result of subtracting two independent isolated temperature measurements or measuring the amount of temperature rise or decline.
The two layers are the same thickness, but the materials are not. A's thermal conductivity is double that of B's. The temperature difference between the two ends of the wall in thermal equilibrium is 36o C. Determine the beginning and end temperatures, as well as the sample mass and energy provided. Subtract the end and starting temperatures to get the temperature change (T). Multiply the temperature difference by the mass of the sample. Distribute the heat/energy supplied by the product.
To calculate the temperature difference, just subtract the smaller figure from the bigger one, in this example 19 degrees Celsius from 25 degrees Celsius. This results in a six-degree Celsius temperature differential.
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HELP ME ASPPP THANKYOU
A window pane would gain heat the fastest
Why does a window pane gain heat fast?
We have to note that the heat capacity of the material would be very important to know the object that would be able to gain the heat fast. If the object is gaining the heat fast, it means that it has a low specific heat capacity.
Again the window pane does have a low specific heat capacity and is able to absorb heat and the temperature would rise faster causing the object to gain heat the fastest as we can see from the explanation here.
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The time needed for a water wave to change from the equilibrium level to the crest is 0.5731 s.
1. What is the period of the wave? Answer in units of s.
2. What is the frequency of the wave? Answer in units of Hz.
The period of wave is 2.2924s and the wavelength of the wave 0.436Hz.
Time and wavelengthA wavelength's worth of space separates the equilibrium and the crest.
As a result, the amount of time needed to get there would be
t=T/4
0.5731=T/4
T= 2.2924s,
where T is the time period.
The frequency is now determined by f=1/T
f=1/2.2924
f =0.436Hz.
The distance covered by a wave during one revolution is referred to as its wavelength. To put it another way, we can say that the wavelength is the distance between two consecutive crests and troughs.
The following formulas, f = v, make it simple to determine the frequency if we are aware of the wave's velocity and wavelength beforehand. After calculating the frequency, we can use T = 2 = 1 f to calculate the time period.
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how can the momentum of a speeding bullet be the same as the momentum of a supertanker moving toward a dock
Mass in motion is quantified by momentum, which is the measure of how much weight is moving. It typically has the sign math
What does motion mean in mathematics?
In mathematics, movement, distance, velocity, impulse, and speed are used to explain motion. By securing a reference point to the environment or the observer, a body's motion can be seen. A body's motion is quantified by tracking how its location changes in relation to the perspective it occupies.
What types of motion may an object make?
The force acting on a body determines how it moves. These are some examples of various motion types. Translational: When an item goes along a route across all 3 components, it is of this type. Rotational: This sort of movement involves an object moving in a circular motion around a fixed axis.
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which structural fragment would give rise to a characteristic triplet-quartet pattern in the 1h nmr spectrum?
A split signal in NMR spectroscopy is made up of three lines that are near together. The line height will be close to a 1:2:1 ratio. The CH3 group causes a triplet at 1.2 ppm in the simulated 1H-NMR spectra of 2-ethylphenol.
The amount of signals in 1H NMR spectroscopy tells you about the numerous sorts of chemically equivalent protons in the molecule. In NMR spectroscopy, chemically comparable H atoms in a molecule give a single signal. A triplet of doublets (tdd) happens when the two biggest coupling constants are the same. A triplet of triplets (tt) arises when the two greatest coupling constants and the two lowest coupling constants are the same.
A quarter note triplet is made up of three quarter notes played at the same time as two quarter notes or a single half note. In the United Kingdom, quarter note triplets are known as crotchet triplets. Tetra methy lsilane was chosen as the internal reference compound for 1H NMR because it exhibits a strong, crisp resonance line from its 12 protons, as well as a chemical shift at low resonance frequency compared to practically all other 1H resonances.
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I need help in this please
The net force acting on the charge Q is in the direction D. The net force is the sum of forces from the two point charges Q+ each.
What is Coulomb's law ?According to Coulomb's law of force, the electrostatic force between two charges separated by a distance of r is given as follows:
Fq = k q1 q2 /r²
where, k is a constant.
As per this equation, the electrostatic force between two charges will increase as the magnitude of charge increases and the force decreases as the distance between them increases.
Here, the forces acting on the point charge Q- are the forces from the two Q+ charges. They are of different distances from the charges. The force in the direction E will be greater here. The net force on -Q is acting in the direction D.
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What types of intermolecular forces are exhibited by each compound? 1. lon-lon 2.Hydrogen bonding 3.Dipole-Dipole 4.van der Waals forces OH N 'N
It's worth noting that most molecules can exhibit a variety of intermolecular forces. The types of intermolecular forces that exist are determined by the molecule's specific structure and composition.
OH: The OH molecule can exhibit hydrogen bonding, which is a type of intermolecular force that occurs when a hydrogen atom is bonded to a highly electronegative atom such as oxygen or nitrogen.
Nitrogen gas (N2) is a nonpolar molecule that does not form hydrogen bonds. It can, however, exhibit van der Waals forces, which are weak attractive forces that occur between all molecules, including nonpolar ones like N2.
'N': It is unclear what is meant by "'N," but assuming it refers to a nitrogen-containing molecule, the types of intermolecular forces it can exhibit vary depending on the molecule. Hydrogen bonding can occur when a hydrogen atom is bonded to a highly electronegative atom, such as oxygen or nitrogen. If the molecule is polar (has a separation of positive and negative charge across the molecule), dipole-dipole interactions can occur. Van der Waals forces can be observed in nonpolar molecules.
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Help please. Urgently need answer
The final kinetic energy of the lead bullet after the impact is 50 J.
option A.
What is the final kinetic energy of the system?
The final velocity of the lead bullet system will be used to determine their final kinetic energy after the impact.
m1u1 + m2u2 = v ( m1 + m2 )
where;
u1 and u2 are the initial velocitiesm1 and m2 are the massesv is the final velocity of the lead bullet after the impact( 0.05 x 200) + 0.95(0) = v ( 0.05 + 0.95 )
10 m/s = v
K.E_final = ¹/₂mv²
= ¹/₂ ( 0.05 + 0.95 ) (10²)
= 50 J
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A 0.112-kg billiard ball moving at 154 cm/s strikes a second billiard ball of the same mass moving in
the opposite direction at 46 cm/s. The second billiard ball rebounds and travels at 72 cm/s after the
head-on collision.
Determine the post-collision velocity of the first billiard ball.
The post-collision velocity of the first billiard ball is 272 cm/s.
Define VelocityVelocity is a vector quantity that describes an object's speed and direction of motion.
We can solve this problem by using the law of conservation of momentum, which states that the total momentum of an isolated system remains constant.
The momentum of an object is defined as the product of its mass and velocity:
p = m * v
The total initial momentum of the system is the sum of the momenta of the two billiard balls before the collision:
p_initial = m * v1 + m * v2
where m is the mass of each billiard ball, v1 is the initial velocity of the first billiard ball, and v2 is the initial velocity of the second billiard ball.
After the collision, the first billiard ball will rebound with a velocity v1', and the second billiard ball will rebound with a velocity v2'. The total final momentum of the system is the sum of the momenta of the two billiard balls after the collision: p_final = m * v1' + m * v2'
Since the law of conservation of momentum applies, we can set the initial momentum equal to the final momentum
p_initial = p_final
Substituting the given values, we get:
m * v1 + m * v2 = m * v1' + m * v2'
Simplifying, we get:
v1' = (m * v1 + m * v2 - m * v2') / m
v1' = v1 + (v2' - v2)
Plugging in the given values, we get:
v1' = 154 cm/s + (72 cm/s - (-46 cm/s))
v1' = 272 cm/s
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An object has 10 J of GPR.What would be its GPE if its mass was halved?
If the mass of the object is halved, its new GPE would be 5 J. The gravitational potential energy (GPE) of an object near the surface of the Earth is given by the formula:
GPE = mgh
where:
m is the mass of the object
g is the acceleration due to gravity (9.81 m/s² near the surface of the Earth)
h is the height of the object above some reference level (usually taken to be the ground level)
The given information of the object having 10 J of gravitational potential energy (GPE) is insufficient to calculate its mass or height. As a result, we cannot use the above formula to calculate the object's GPE if its mass is halved.
However, we can take advantage of the fact that an object's GPE is directly proportional to its mass. That is, if we cut the object's mass in half, its GPE will be cut in half as well. This is mathematically expressed as:
GPE2 = (1/2) GPE1
where:
GPE1 is the object's first GPE.
GPE2 is the object's new GPE after its mass has been halved.
As a result, if the object's GPR is considered its initial GPE and its mass is halved, its new GPE is:
GPE2 = (1/2) GPR
Substituting the given value of GPR = 10 J, we get:
GPE2 = (1/2) x 10 J = 5 J
So, if the mass of the object is halved, its new GPE would be 5 J.
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Problems 9 and 10 are related to the following situation: It's a dirty little Menlo
secret that every time the floors in Stent Hall are waxed, Mr. Colb likes to slide
down the hallway in his socks. Mr. Colb weighs 950 N and the force of friction
acting on him is 100 N.
●
Calculate Mr. Colb's acceleration down the hall.
Oh no! There's an open door leading nowhere at the end of the second floor
hallway! Mr. Colb is traveling at 2.8 m/s when he becomes a horizontally
launched projectile and plummets to the ground below (don't worry, he lands
on a pile of backpacks and only his pride is injured). If the window is 3.7 m
high, calculate how far from the base of the wall Mr. Colb lands.
Mr. Colb's acceleration down the hallway is 0.91 m/[tex]s^2[/tex] as per the given data.
What is acceleration?Acceleration is the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.
To calculate Mr. Colb's acceleration down the hallway, we can use the formula:
a = (F - f) / m
a = (F - f) / m
a = (950 N - 100 N) / (950 kg * 9.81 m/[tex]s^2[/tex])
a = 0.91 m/[tex]s^2[/tex]
To calculate how far from the base of the wall Mr. Colb lands, we can use the equations of motion for a projectile:
y = yo + voyt + 0.5a[tex]t^2[/tex]
x = xo + voxt
y = yo + voyt + 0.5a[tex]t^2[/tex]
3.7 m = 0 m + 0 m/s * t + 0.5 * 9.81 [tex]m/s^2[/tex] x [tex]t^2[/tex]
t = 0.89 s
Now we can use the horizontal equation of motion to calculate how far Mr. Colb travels horizontally in 0.89 s:
x = xo + vox x t
x = 0 m + 2.8 m/s x 0.89 s
x = 2.49 m
Thus, Mr. Colb lands 2.49 meters away from the base of the wall.
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a 1000-kg car is moving at 15 km/h. if a 2000-kg truck has 23 times the kinetic energy of the car, how fast is the truck moving? 51 km/h 72 km/h 61 km/h 41 km/h
Answer:
51 km/hr
Explanation:
car: KE = 1/2mv² = 1/2(1000 kg)(15 km/hr)² = 112500
truck: KE = 23(112500) = 2587500
KE = 1/2mv² → v² = 2(KE)/m → v = √2(KE)/m
v = √2(2587500)/(2000 kg) = 50.9 ≈ 51 km/hr
a solid sphere of silver, which is a good conductor, has a spherical cavity at its center. there is a point charge at the center of the cavity. the silver sphere has a charge of 9.00 nc on its outer surface and a charge of -2.00 nc on the surface of the cavity. what is the value of the point charge?
The value of the point charge is zero.
What do you mean by charge?
Charge, also known as electric charge, electrical charge, or electrostatic charge and denoted by the symbol q, is a property of a unit of matter that indicates how many more or fewer electrons than protons it contains.
When a subatomic particle is exposed to an electric and magnetic field, its electric charge causes it to feel a force. There are two sorts of electric charges: positive and negative. The electric field outside the sphere is the same as the field from a point charge with a net charge of Q, according to Gauss' law, whereas the electric field inside the sphere is zero. For a solid or hollow sphere, this conclusion holds valid.
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suppose a 59.5 kg gymnast climbs a rope. (a) what is the tension (in n) in the rope if he climbs at a constant speed?
The required tension in the rope if he climbs at constant speed is said to be 583.7 N.
The mass of the gymnast is given as 59.5 kg.
It is said that he climbs a rope at constant speed. This speed is to be calculated.
An object is said to be moving at a constant pace when it covers the same distance in the same amount of time. When moving at a constant pace, an object covers a fixed distance in a fixed amount of time.
The action-reaction pair of forces operating at either end of the aforementioned elements can also be thought of as tension. A string, rope, chain, or other similar object, or both ends of a rod, truss member, or other equivalent three-dimensional object, transmits tension when they pull in the same direction.
Drawing a free-body diagram has allowed us to:
T - m g = 0
T = m g = 59.5(9.81) = 583.7 N
Thus, the tension in the rope if he climbs at constant speed is said to be 583.7 N.
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if the distance between two isolated parallel plates that are oppositely charged is doubled, the electric field between the plates is essentially unchanged. however, the:
The charged density of the parallel plates affects the electric field between them. The field between plates is 0 if they are neutral or 0 if they carry charges, depending on which way they are charged. While there is no field inside the sphere.
What is the electric field between the plates?The capacitor's two oppositely charged plates are separated by an electric field that is constant throughout, except the plate edges.
The electric field does not change since the space between the plates is smaller than their combined surface area.
Because the two parallel charged plates are kept apart from one another, a homogenous electric field is created there.
Therefore, Potentially, there will be a double differential between the plates.
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An airplane flies 1400 miles in 2 1/2 hours.
4 What is its average speed in miles per hour?
Answer:
the average speed of the airplane is 560 miles per hour.
Explanation:
To calculate the average speed of an airplane, you need to divide the total distance it travels by the total time it takes to travel that distance.
In this case, the total distance is 1400 miles and the total time is 2 and a half hours, so we can calculate the average speed as follows:
Average Speed = Total Distance / Total Time
Average Speed = 1400 miles / 2.5 hours
Average Speed = 560 miles per hour
Mallory pushes her water bottle of 1.70 kg to the side. She applies a force of 108.20 N to the right. If the bottle accelerates at 8.79 m/s2, what is the coefficient of friction?
According to the question, the coefficient of friction is found to be 0.138. It is the ratio of the frictional force resisting the motion of two surfaces in contact to the normal force pressing the two surfaces together.
What is the coefficient of friction?The coefficient of friction may be defined as a measure of the amount of friction that is significantly existing between two surfaces. When you find a coefficient of friction, you're calculating the resistance to motion at the interface of two surfaces of similar or dissimilar materials.
According to the question,
The force, F = m × a = 1.70 kg × 8.79 = 14.94 N.
The formula for calculating the coefficient of friction is as follows:
μ = F/N = 14.94/108.20 = 0.138.Therefore, the coefficient of friction is found to be 0.138.
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what is the range of distance before and behind the main focus distance? the character or object remains in focus if they remain in this range
The range of distance before and behind the main focus distance is referred to as the depth of field.
The depth of field is determined by several factors, including aperture size, focal length, and distance to the subject. Generally, the depth of field is greater behind the main focus distance than in front of it. The distance before the main focus distance is referred to as the near focus limit, and the distance behind it is referred to as the far focus limit. The depth of field is an important consideration in photography and videography as it affects the sharpness and clarity of the final image or video. It can be adjusted by changing the aperture size, focal length, or distance to the subject. The range of distance before and behind the main focus distance is referred to as the depth of field.
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metal rods of length 20cm each are laid end to end to form a bridge at 25°C. What gap will be provided between consecutive rails for the bridge to withstand 75°C?
Answer:
1 mm
Explanation:
To find the gap between the metal rods that would allow the bridge to withstand a temperature change from 25°C to 75°C, we need to calculate the increase in length of the metal rods due to thermal expansion.
The linear expansivity of most metals is around 10^-5 / K. So, the increase in length of each metal rod can be calculated as:
ΔL = α * L * ΔT
where α is the linear expansivity, L is the initial length of the rod (20 cm), and ΔT is the change in temperature (75°C - 25°C = 50°C).
Converting the units to SI units, the initial length of the rod becomes 0.2 m and the change in temperature becomes 50 K. So, the increase in length of the rod becomes:
ΔL = 10^-5 / K * 0.2 m * 50 K = 0.001 m = 1 mm
So, the gap between the metal rods should be at least 1 mm to allow for the thermal expansion of the metal rods and avoid buckling or breaking of the bridge under the temperature change from 25°C to 75°C.
For both waves on strings and sound waves in tubes,
A. The mode number is independent of the wavelength.
B. A higher mode number means a shorter wavelength.
C. A higher mode number means a longer wavelength.
The correct statement is B.
A higher mode number means a shorter wavelength.
What is Wavelength?
Wavelength is an important characteristic of all types of waves, including electromagnetic waves (such as light and radio waves) and mechanical waves (such as sound waves and water waves). In general, the wavelength of a wave is determined by the source of the wave, the medium through which it travels, and the frequency of the wave.
The correct statement is B. A higher mode number means a shorter wavelength.
In both cases, the mode number refers to the number of segments, or nodes, into which the wave can be divided. The wavelength, on the other hand, refers to the distance between two adjacent peaks or troughs of the wave.
When the mode number increases, the number of segments or nodes in the wave increases, which means that the wavelength must decrease in order to maintain the same frequency of the wave. This is because the total length of the string or tube remains the same, and so the length of each segment must decrease as the number of segments increases. Therefore, a higher mode number corresponds to a shorter wavelength.
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Suppose you have two metal cubes, one made of iron and one made of aluminum. You transfer the same amount of heat Q to each of them. Which cube will have the higher final temperature, given they have the same masses and initialtemperatures? a. Iron Cube b. Aluminum Cube
If the same amount of heat Q is applied to each cube, the aluminum cube will have a greater end temperature than the iron cube.
The average thermal energy of the particles in a system is measured by temperature. It is a scalar number that represents the amount of heat energy present in a substance and is usually expressed in degrees Celsius (°C), Kelvin (K), or Fahrenheit (°F). The kinetic energy of the particles in a system, which is the energy associated with their motion, is proportional to temperature. When a system's temperature rises, so does the kinetic energy of its particles, resulting in quicker and more chaotic motion. In contrast, when the temperature drops, the The particles' kinetic energy reduces, resulting in slower and less chaotic motion.
Here, The eventual temperature of the two cubes will be determined by their respective heat capacities. The quantity of heat energy required to raise the temperature of a unit of mass of a material by one degree Celsius is defined as its specific heat capacity.
Aluminum has a greater specific heat capacity than iron, which means it takes more heat energy to increase its temperature by the same amount.
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HELP ME PLEASE!!!!!!!
Fluffy the Cat falls out of a tree that is 15 meters tall.
How long does it take the cat to land?
Need to show work!!!!!!
Answer:
it would take approximately 1.7 seconds for Fluffy the Cat to fall from a 15 meter tall tree.
Explanation:
To calculate the time it takes for an object to fall, you can use the following formula:
t = sqrt(2d / g)
where:
t is the time in seconds
d is the distance fallen in meters
g is the acceleration due to gravity (approximately 9.8 m/s^2 on the surface of the Earth)
So, substituting in the values for d (15 meters) and g (9.8 m/s^2), we get:
t = sqrt(2 * 15 / 9.8)
t = sqrt(30 / 9.8)
t = sqrt(3.06122448979591836734693877551)
t ≈ 1.744823934831724823036837018032 seconds
how large a cargo can it lift, assuming that the skin and structure of the balloon have a mass of 950 kg ? neglect the buoyant force on the cargo volume itself.
The total lift capacity of a balloon is determined by the amount of lift generated by the hot air or other lighter-than-air gas inside it.
The buoyancy force of a spherical balloon filled with helium is equal to the weight of the helium (Fb = mhg), where mh is the mass of helium, and g is the acceleration due to gravity. The total lifting force (Ft) of the balloon is equal to the buoyancy force of the helium plus the weight of the balloon structure (Ft = Fb + mb g), where mb is the mass of the balloon structure. Therefore, the total lifting force of the balloon is:
[tex]Ft = mhg + mb g[/tex]
The maximum cargo mass (mc) that can be lifted by the balloon is equal to the total lifting force divided by the acceleration due to gravity:
[tex]mc = \frac{Ft}{g} =\frac{ (mhg + mb g)}{g} \\ = mh + mb[/tex]
For a balloon with a radius of 7.15 m, filled with helium and a structure mass of 950 kg, the maximum cargo mass that can be lifted is:
[tex]mc = mh + mb = 0 + 950 kg = 950 kg[/tex]
Threrefore, the total lifting force of the balloon is:950kg
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complete question:A spherical balloon has a radius of 7.15 m and is filled with helium. How large a cargo can it lift, assuming that the skin and structure of the balloon have a mass of 950 kg? Neglect the buoyant force on the cargo volume itself.
(hrwc9p104) an old chrysler with mass 2650 kg is moving along a straight stretch of road at 81 km/h. it is followed by a ford with mass 1550 kg moving at 52 km/h. how fast is the center of mass of the two cars moving?
The two automobiles center's of mass are moving at a 19.79 m/s speed. Calculate the system's total mass and canter of mass velocity to get the velocity of the system's center of mass for the two automobiles.
The weighted average of the velocities of each individual object, multiplied by their mass, equals the velocity of the canter of mass.
Let's refer to the center of mass's velocity as V cm. Then:
V cm is equal to (mass of Chrysler times its velocity plus mass of Ford times its velocity) / (total mass of system)
The speeds must first be changed from km/h to m/s:
Chrysler's speed is 81 km/h, or 81 * 1000 / 3600 m/s, or 20.83 m/s.
Ford's speed of 52 km/h is equal to 52 * 1000 / 3600 m/s, or 18.06 m/s.
Then, we may determine the system's overall mass and center-of-mass velocity:
Overall mass equals the sum of the masses of Chrysler and Ford, or 2650 kg plus 1550 kg, totaling 4200 kg.
V cm is equal to (mass of Chrysler times its velocity plus mass of Ford times its velocity) / total mass.
V cm is calculated as (2650 kg at 20.83 m/s and 1550 kg at 18.06 m/s) / 4050 kg.
V cm is equal to 4200 kg / (55,051.5 kg m/s + 25,244 kg m/s).
V cm = 4200 kg / 80,295.5 kg / 19.79 m/s
Hence, the two automobiles center's of mass are moving at a velocity of 19.79 m/s.
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A current of 0.33 A is following through a circuit .If the potential difference across two points of wire is 5V ,Claculate the resistance
Answer:
The value of resistance is
[tex]15.15ohm[/tex]
Explanation:
Greetings!!!
Given values:-current(I)= 0.33A
potential difference(V)= 5V
Required values:-resistance (R)= ?
Solution:-Firstly, recall the ohm's law
V= RISubstitute known variables into the equation
(5)= R(0.33)Solve for Resistance
R= 15.15 ΩIf you have any questions tag me on comments
Hope it helps!!!
Answer:
15 Ω.
Explanation:
The resistance of a circuit can be calculated using Ohm's law, which states that the potential difference (V) across a conductor between two points is directly proportional to the current (I) flowing through it, given by the equation V = IR.
To find the resistance, we can rearrange the equation to R = V/I, where R is the resistance. Substituting the values we have, we get:
R = 5V / 0.33A = 15 Ω
So, the resistance of the circuit is 15 Ω.
a bicycle wheel has a diameter of 74.6 cm and a mass of 0.758 kg. the bicycle is placed on a stationary stand on rollers and a resistive force of 95.7 n is applied to the rim of the tire. assume all the mass of the wheel is concentrated on the outside radius. in order to give the wheel an acceleration of 2.6 rad/s 2 , what force must be applied by a chain passing over a sprocket with diameter 8.38 cm? answer in units of n.
Force applied by a chain passing over a) is 854 N and force is required if the chain shifts to a 8.38 cm is 869N.
A) The expression for force is product of force and distance of force from the axis of rotation,
τ = r x F
Here sum of clock wise moments are negative and sum of anticlockwise moments are positive,
τ = r x Fa
τnet = r x Fa - R x F
Torque is product of inertia and angular acceleration,
I∝ = r x Fa - R x F
[tex]F_a = \frac{I\alpha + R*F_r_e_s}{r}[/tex]
Moment of inertia of wheel is,
I = MR²
= (0.758)(0.746)
= 0.565 kg.m³
Fa = 854 N
B) using the equation,
[tex]F_a = \frac{I\alpha + R*F_r_e_s}{r}[/tex]
= [tex]\frac{(0.565) (2.6) + (95.7)(0.746) }{0.0838}[/tex]
= 869N
Newton's alternate law establishes that the net necklace acting on a body equals the product of the body's moment of indolence and its angular acceleration,
The moment of indolence serves as a measure of the body's resistance to a change in its rotational state of stir.
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Two stars are of equal luminosity. Star A is 3 times as far from you as star B. Star A appears _________ star B.A. 3 times brighter than
B. 9 times brighter than
C. one-third as bright as
D. the same brightness as
E. one-ninth as bright as
The answer is E. One-ninth as bright as star B if two star are of equal luminosity.
The apparent brightness of a star depends on its distance from the observer. According to the inverse square law, the apparent brightness of a star decreases as the square of the distance from the observer increases. In this case, star A is three times farther away from the observer than star B. Therefore, the apparent brightness of star A will be nine times less than that of star B.
Since the two stars are of equal luminosity, we can conclude that star A appears one-ninth as bright as star B. This is because the apparent brightness of a star is proportional to its luminosity divided by the square of the distance from the observer. Since the two stars have the same luminosity, the ratio of their apparent brightness is equal to the inverse square of the ratio of their distances from the observer.
In summary, the answer is E. One-ninth as bright as star B
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