Complete question is;
A long, circular aluminum rod is attached at one end to a heated wall and transfers heat by convection to a cold fluid. If the diameter of the rod is doubled, by how much would the rate of heat removal change?
Answer:
182.84 %
Explanation:
Formula for rate of heat transfer of an infinite log fin is given as;
q_f1 = (π/2) × (hk)^(½)) × D^(3/2)) × (T_b - T_∞)
Where D is diameter.
Now, if the diameter of the rod is doubled, it means Diameter is now 2D.
Thus;
q_f2 = (π/2) × (hk)^(½)) × (2D^(3/2)) × (T_b - T_∞)
To find how much the rate of heat removal will change, we will calculate as follows;
((q_f2/q_f1) - 1) × 100
Plugging in the relevant expressions, we have;
([[(π/2) × (hk)^(½)) × ((2D)^(3/2)) × (T_b - T_∞)]/[(π/2) × (hk)^(½)) × (D^(3/2)) × (T_b - T_∞)]] - 1) × 100
Upon simplifying, we have;
(((2D)^(3/2))/(D^(3/2)) - 1) × 100
((2^(3/2)) - 1) × 100
This gives;
182.84 %
A 250 g ball travels at a velocity of 40 m/s. Its momentum is
The momentum of a 250 g ball travelling at 40 m/s is 10 kg m/s.
What is velocity?Velocity is a measure of the rate of change in a physical quantity over time. It is a vector quantity, meaning it is composed of both magnitude and direction. Velocity measures the speed of an object at a specific point in time, as well as the direction of its motion.
Momentum is a vector quantity, meaning it has both a magnitude and a direction. In this case, the magnitude of the momentum is 10 kg m/s and the direction is the same as the velocity, i.e. 40 m/s.
Momentum is a product of mass and velocity. It is calculated by multiplying mass (in kg) by velocity (in m/s) and then multiplying the answer by the direction of the velocity (1 for positive and -1 for negative). In this case, the momentum is calculated as follows:
Momentum = Mass x Velocity x Direction
= 250 g x 40 m/s x 1
= 10 kg m/s
In physics, the law of conservation of momentum states that the total momentum of a system remains constant. This means that if an object has a certain momentum, it will keep this momentum unless an external force acts on it to change it. The only way to change the momentum of the 250 g ball travelling at 40 m/s is to apply an external force to it, such as a collision or a frictional force.
In conclusion, the momentum of a 250 g ball travelling at 40 m/s is 10 kg m/s. This momentum can only be changed by applying an external force to the ball.
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The four conducting cylinders shown in the figure are all made of the same material, though they differ in length and/or diameter. They are connected to four different batteries, which supply the necessary voltages to give the circuits the same current, I. Rank the four voltages. V_1, V_2, V_3, and V_4. in order of decreasing value. Rank from largest to smallest. To rank items as equivalent, overlap them.
The voltages V2, V3, V4 and V1 are ranked in decreasing order of voltage value as follows: V2 > V3 > V1 >V4
What is an electric circuit's voltage?The difference in potential or pressure that pushes or ignites the passage of electrical current in a conducting loop is known as a voltage.
The following formula can be used to determine the current flowing through the circuit:
I = V/ R
The conductivity formula is presented as follows;
σ = l / RXA
Where;
σ = The material's conductivity
| = The length
R stands for electrical resistance.
A is the conductor's cross-sectional area.
Therefore;
R = V/I
R = l / A σ
V/I = l × L / A × σ
Based on the cylinders' dimensions, which were discovered using a similar query, we discover;
V1 = 3V4
V2 = 8 V4
V3 = 4 V4
The rank is - V2 > V3 > V1 >V4
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write the balanced nuclear equation for the formation of polonium−215 through α decay.
The balanced nuclear equation for the formation of polonium-215 through alpha decay is:
[tex]At_{211} +4He - > Po_{ 215}+ 2 n[/tex]
Polonium-215 is an isotope of the element polonium that is formed through alpha decay. In alpha decay, a parent atom loses an alpha particle, which is a helium nucleus, to form a daughter atom. In the case of polonium-215, the parent atom is astatine-211, which loses an alpha particle (4He) to form polonium-215 (215Po) and also two neutrons (2n). The process is represented by the equation 211At + 4He → 215Po + 2n. This equation shows that the total atomic number and mass number are conserved on both sides of the equation. It's important to note that alpha decay is one of the common types of decay in the heavy elements but not all elements can decay by alpha emission.
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Which of the following best describes the motion of a working gyroscope moving through space? a. the gyroscope both translates and rotates b. the gyroscope rotates, abut does not translate c. the gyroscope neither translates nor rotates d. the gyroscopes translates, but does not rotates
The best description of the motion of a working gyroscope moving through space is the gyroscope both translates and rotates.
What is gyroscope?
An instrument used to determine or maintain orientation and angular velocity is a gyroscope. It consists of a spinning wheel or disc mounted onto a set of three gimbals, which are pivoted supports that allow the rotation of the wheel or disc about a single axis. A good example of a gyroscope is a spinning top. It can maintain its orientation when spinning around its vertical axis, as the gyroscopic effect causes it to remain level. Gyroscopes are used in a variety of applications, ranging from navigation and astronomy to robotics and aircraft control systems. In navigation, gyroscopes measure the rate of rotation around the vertical axis, allowing navigators to determine the aircraft’s heading.
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A 1.5-kg ball is thrown at 10 m/s. What is the ball's momentum?
Explanation: Momentum: It is defined as the motion of a moving body. Or it is defined as the product of the mass or velocity of an object.
The formula of momentum is: p=mt
where,
p = momentum =?
m = mass = 1.5 kg
v = velocity = 10 m/s
Now put all the given values in the above formula, and we get:
p = 1.5 kg * 10 m/s
p = 15kg.m/s
Therefore, the momentum of the ball is 15 kg.m/s
You are in the year where the earth has no more land available for houses you decide to build an apartment up and need things to survive in each earths 5 layers (troposphere,stratosphere, mesosphere, thermosphere, exosphere) Question: what things would you need to survive the thermosphere(really hot it is 2000 degrees fahrenheit)
You would need to survive the thermosphere: The temperature ( 2000° C or more), the cosmic radiation and charged particles.
What is thermosphere?The layer of the Earth's atmosphere known as the thermosphere is situated above the mesosphere and under the exosphere. The thermosphere is the bigger portion of the ionosphere because ultraviolet energy inside this layer of the atmosphere promotes photoionization/photodissociation of molecules, creating ions.
The remaining atmospheric gases stratify at these high elevations according to molecular mass. As a result of the sun's intensely powerful energy being absorbed, atmospheric temperatures rise with altitude. Temperatures, which can reach 2,000 °C or higher, are largely reliant on solar activity.
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Which color of light will generate photoelectrons with the highest kinetic energy?
(Remember, a photoelectron is an electron that absorbed a photon.)
Near Ultraviolet
Violet
Green
Blue
Yellow
Violet light has the highest frequency, hence. Consequently, violet light has the most energy.
Violet light has the shortest wavelength of all visible light, giving it the most energy. The longest wavelength and lowest energy are found in radio waves. Yellow light is less energetic than green light. This is due to the fact that yellow light's wavelength is 580 nanometers, whereas green light's is 550 nanometers. The highest energy photons ever observed have been discovered by a team of Chinese and Japanese astronomers. These photons are gamma rays with energies up to 450 trillion electron volts (TeV). Violet light has the highest frequency, hence. Consequently, violet light has the most energy.
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Compared to the mass of a uranium nucleus before splitting, the pieces it splits into have O more mass O the same mass. O less mass.
Compared to the mass of a uranium nucleus before splitting, the pieces it splits into have less mass.
What is mass?
Mass is the measure of an object's quantity of matter. It is measured in kilograms and is calculated by multiplying the object's density by its volume. Mass is an intrinsic property of an object and is independent of its location in the universe. It is inversely proportional to the acceleration due to gravity, meaning that the more massive an object is, the less it is affected by gravity. Mass is also the source of an object's inertia, which is the resistance of an object to change its motion. The total mass of a system is conserved throughout any transformation, meaning it cannot be created or destroyed. Mass is an important concept in physics and can be used to calculate the effects of force, energy, and momentum.
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The sixth energy level can hold up to 32 electrons.
How many orbitals are in energy level 6?
The 7 - 16 orbitals are in energy level 6.
What is orbitals ?
A mathematical function called orbitals in physics and chemistry illustrates the wave-like behaviour of an electron or a pair of electrons in an atom. Using this function, one can figure out the likelihood of discovering an electron near the nucleus.
What is energy level ?
Energy level, also known as energy state, is any discrete value from a range of total energy values for a system of subatomic particles, such as an atom or a nucleus, that are constrained by a force in a finite region.
Therefore, 7 - 16 orbitals are in energy level 6.
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Input. Output and storage devices are part of a computer hardware.
O True
O False
Two pieces of clay, one white and one gray, are thrown through the air. The white clay has a momentum 25kg. M/s and the grey clay has a momentum of -30kg. m/s immediately before they collide
What is the magnitude and direction of their final momentum immediately after the collision?
Your answer should have one significant figure.
___ kg. m/s
Two clay pieces—one white and the other gray—are hurled through the air. The white clay has a momentum of 25 kg/m/s.
What direction is momentum after a collision?The momentum will be conserved in each direction separately for a collision if the moving objects are travelling in two dimensions (for example, x and y) (as long as there is no external impulse in that direction). In other words, both before and after the impact, the total momentum will be the same in the x direction.
The momentum of the cue ball is defined as mass times velocity. Because it isn't moving yet, the 8 ball has no momentum. Due to the conservation of momentum, if you strike it straight on and the cue ball stops at the point of collision, all of its momentum must transfer to the 8 ball.
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WILL GIVE BRAINLEST PLS HELP ASAP
1 Select the correct answer. The motion of a car on a position-time graph is represented with a horizontal line. What does this indicate about the car’s motion? A. It’s not moving. B. It’s moving at a constant speed. C. It’s moving at a constant velocity. D. It’s speeding up.
Answer:
B, it's moving at a constant speed
The two graphs in (Figure 1) are for two different vertical mass/spring systems.
0 t (s) 12
Part A
What is the frequency of system A?
Express your answer using two significant figures.
Part B
What is the first time at which the mass of system A has maximum speed while traveling in the upward direction?
Express your answer using two significant figures.
Part C
What is the period of system B?
Express your answer using two significant figures.
Part D
What is the first time at which the mechanical energy of system B is all potential?
Express your answer using two significant figures.
Part E
If both systems have the same mass, what is the ratio kA/kB of their spring constants?
Express your answer using two significant figures.
We have two graphs for two different vertical mass spring systems that are relevant to this query. We have to explain in the first section that the frequency is the system frequency.
A Because of this, we can observe that the time period Or for solutions is 34 a from the graph. It is four seconds since we know that one cycle takes one second to complete, and one cycle takes four seconds to complete. Thus, this time frame applies.
As a result, we can observe that the frequency will be one upon the And that is 1.4, which is 0.25, if A is equal to this. Therefore, the integration of the 50 frequency, number information. We must mention that when using the mask for the first time, it moves at its fastest pace while moving in an unfavorable direction toward 50.
Since we are aware that it is maximum at the mean position, at which the displacement is zero, we must inform you that I am currently in second place. Inferring from the graph that a's displacement on the time axis is zero at three seconds Consequently, it equals 23 seconds. We can see that the maximum is, in fact, quite the maximum.
The system's time period must be determined in the following section, and we must state when the mechanical energy was initially used. which also applies to kinetic energy. As a result, we can state that from the perspective of the time. The cycle does end after six seconds. It lasts for six seconds. And as we are aware, there is no kinetic energy at the extreme point. So, at the extreme, kinetic energy is equal to both zero and the potential of one mechanical energy. Therefore, an extreme point is where there is a maximum amount of displacement on either side.
Thus, we may still perceive that. To 1.5 seconds, he moves. Given that this is the extreme point, we obtain the total energy as mechanical energy. A maximum displacement point is there. No, in the following one we must ensure that both systems have the same mask. By using M by K as masses as the under root, the risk taken is equal to these two. Directly proportionate to one upon under the root of K is the same time period. That contrasts with a K note from KB. We can observe that the value of K upon kb is obtained from here. 2.25 has been vanquished there.
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A) Which metals exhibit the photoelectric effect for light with ? =400nm ?Which metals exhibit the photoelectric effect for light with ?
O sodium
O copper
O gold
B)Which metals exhibit the photoelectric effect for light with ?=250nm?
O gold
O iron
Only sodium work function is less than the energy of the photon
max Kinetic Energy (Kmax) = Ephoton - Wfunction.
What is Work Function?
When a free electron tries to leave the metal surface, this positive charge pushes it back. For electrons, this force creates a "surface barrier." Only until external energy is used to break through the surface barrier will the free electrons be able to escape the metal surface. "Electron emission" is the process of releasing electrons from a metal surface.
The work function of a metal is the amount of additional energy required to remove an electron from a metal surface barrier. The term "work function" refers to the minimal amount of energy needed for an electron to simply escape from the metal surface.
Energy of a photon of wavelength (lambda) 400 nm = hf = hc/lambda = 3.105 eV
Work functions of
Sodium = 2.28 eV
Copper = 4.7 eV
Gold = 5.1 eV
In order for the metals to exhibit the photoelectric effect, their electrons must absorb a photon of energy that is greater than their work functions!
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In Young's double slit experiment, the bright spots correspond to
O regions of constructive interference
O regions of either constructive or destructive interference
O regions of destructive interference
In Young's double slit experiment, the bright spots correspond to regions of constructive interference.
Thomas Young carried out an experiment in 1801, which contributed to the debunking of the light-wave hypothesis. Since Isaac Newton's late 1600s proposal, the wave theory of light has been the preeminent explanation for how light moves across space. However, Young's experiment also served to highlight certain flaws in the wave theory. The Young's Double Slit Experiment involves shining a coherent light source—like a laser—on a screen that has two slits cut into it. Coherent light waves going through the two slits interfere with one another, resulting in the interference pattern behind the slits seeming like a wave.
Coherent light emits a distinctive interference pattern of dark and bright bands on a screen with two apertures. The wavelength of the light is closely correlated with the separation between the light bands. This finding demonstrated that light acts as a wave and backed the wave theory of light over Newton's particle theory.
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A monatomic ideal gas expands from point A to point B along the path shown in the drawing. (a) Determine the work done by the gas. (b) The temperature of the gas at point A is 185 K. What is its temperature at point B? (c) How much heat has been added to or removed from the gas during the process?
An ideal monoatomic gas with 2 moles expands from its initial state (P0V0) to its end state. The answer is (3/2)(PBVB - PAVA) (PBVB - PAVA)
The noble gases argon, krypton, and xenon are some examples. Therefore, the amount of work done as a gas expands is equal to the product of the gas's pressure and its change in volume. One joule, by definition, is the amount of work required to move an item one meter with a force of one newton.
In a perfect monatomic gas,
U(T) = (3/2)nRT ⇒
ΔU = (3/2)nRΔT
T is the exact temperature.
R is the global gas constant.
The number of moles is n.
T = TB — TA — PBVB (nR) - PAVA/(nR) (nR)
T = (3/2)nR, and
U = (3/2)nR. PAVA/(nR) - PBVB/(nR)
= (3/2)(PBVB - PAVA) (PBVB - PAVA)
Insert the appropriate PB, VB, PA, and VA.
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What is the surface area of disk if it's circumstance is 30cm?
The area of the disk, AD = ㅤㅤ Units.
Answer the same question for a perfect square with the perimeter 30cm.
The area of the square, As = Units.
The surface area of the disk is π x (15cm)2 = 706.858 cm2.
The area of the square is (30cm)2/4 = 225 cm2.
What is surface area ?
Surface area is a measurement used to describe the total area of a two-dimensional object such as a flat surface or a curved surface. It is measured in units such as meters squared (m2) or feet squared (ft2). Surface area is an important concept in geometry and calculus, as it can help to determine the size of an object and the total area of a shape. It can also be used to calculate the surface area of a 3D object such as a sphere, cone, or cylinder. Surface area is also used to measure the amount of air or water on a surface, for example to determine the surface area of a lake. It can also be used to calculate the area of a room or a building, as well as the area of a plot of land.
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Consider a radioactive sample with a half-life of one week. How much of the original sample will be left at the end of the second week? The third week? The fourth week?
2nd week's end 25% of or 1/4th original amount 3rd week's end- 12.5% of or 1/8th the original amount 4th week's end 6.25% of or 1/16th original amount [the amount gets half with every passage of half-life period]
What is Radioactivity ?The ability of some forms of materials to spontaneously release energy and subatomic particles is known as radioactivity. In essence, it is an attribute of certain atomic nuclei.
Unstable nuclei either spontaneously decay or decay into more stable structures, but only in a limited number of ways that produce a limited range of electromagnetic energy or particles. Some naturally occurring elements and man-made isotopes of elements exhibit radioactive decay.
for every week it will become half of present week ..
suppose if u have A now, after 1 week it will become a/2..
next week it becomes half of a/2 i.e a/4
by applying same rule, given half life period as 1 week , we get
first week = 50%
second week = 25%
third week = 12.5 %
fourth week = 6.25 % of original
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The figure below shows two charges. Calculate the magnitude of the electric field at point P. Q1= -1.90 muC Q2=-1.10 muC d1= 1.50 m d2= 1.90 m.
Coulomb's law, which states that the force between two charges is proportional to the product of the charges and inversely proportional to the square of the distance between them, can be used to determine the size of the electric field at point P.
E = k * Q / r2 is the formula for the electric field resulting from a single point charge. where Q is the point charge, r is the distance from the point charge, k is the Coulomb's constant (8.99 * 109 N*m2/C2), and E is the electric field.We must sum the electric fields resulting from each charge in order to determine the overall electric field at point P.
E equals k * (Q1/d1 + Q2/d2 ).where d1 = 1.50 m, d2 = 1.90 m, Q1 = 1.90 x 10-6 C, and Q2 = 1.10 x 10-6 C.E = 1.90 * 10-6 C / (1.50 m) + 1.10 * 10-6 C / (1.90 m) * (-1.90 * 10-6 C / (1.90 m)) * (-1.10 * 10-6 C / (1.90 m))
E = -1.07 * 10^6 N/C
Therefore, the electric field at point P is 1.07 * 106 N/C in size.
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For a specific gas, how does its emission spectrum relate to its absorption spectrum?
a) Bright lines in its emission spectrum have different wavelengths than the dark lines of its absorption spectrum.
b) They do not relate directly.
c) Dark lines in its emission spectrum have the same wavelengths as the bright lines of its absorption spectrum.
d) Bright lines in its emission spectrum have the same wavelengths as the dark lines of its absorption spectrum.
Bright lines in its emission spectrum have the same wavelengths as the dark lines of its absorption spectrum. Hence, option (d) is correct.
What are emission spectrum and absorption spectrum?The electromagnetic radiation spectrum that is emitted when an atom or molecule changes from a high energy state to a lower energy state is known as the emission spectrum of a chemical element or chemical compound.
Absorption spectrum: An electromagnetic spectrum where a drop in radiation strength at particular wavelengths or ranges of wavelengths indicative of an absorbing substance (such as chlorophyll) is particularly visible as a pattern of dark lines or bands, in contrast to emission spectrum.
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A student notices that the image produced from a large concave mirror of a distant skyscraper (h = 59 m) is inverted and the magnitude of the height is |hi| = 1.07 m tall. The image is located d = 175 cm in front of the mirror. ds = - d h/hi ds = 96.49 m Numerically, what is the focal length of the mirror, f , in cm
The focal length of a concave mirror of distant skyscraper is 127.65 cm.
The formula for the focal length of a concave mirror is:
1/f = (1/d) + (1/di)
Where d is the distance from the object to the mirror, di is the distance from the image to the mirror, and f is the focal length.
Given that d = 175 cm and |hi| = 1.07 m, we can calculate the distance from the image to the mirror (di) as follows:
di = (h/|hi|) * d = (59 m / 1.07 m) * 175 cm = 96.49 m
Now we can use this value of di in the above mentioned formula to get the focal length of the mirror :
1/f = (1/d) + (1/di) = (1/175 cm) + (1/-96.49 m)
f = -1/((1/175 cm) + (1/-96.49 m))
f = -1/(1/175 cm - 1/96.49 m)
f = -175 cm / (-1.085)
f ≈ 127.65 cm
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Two 78.5-kg hockey players skating at 4.47 m/s collide and stick together.
If the angle between their initial directions was 120 ∘, what is their speed after the collision?
2.235 m/s is their speed after the collision .
What is momentum ?
Momentum, the product of a particle's mass and its velocity. Momentum is a vector quantity. It has both magnitude and direction. Isaac Newton's second law of motion states that the rate of change of momentum over time is equal to the force acting on a particle. See Newton's Laws of Motion.
From Newton's second law, if a particle is subject to a constant force over a period of time, the product of that force and the time interval (momentum) equals the change in momentum. Conversely, the momentum of a particle is a measure of the time it takes for a constant force to come to rest.
This is an inelastic collision , the momentum is conserved
v = 4.47 x cos(60)
= 2.235 m/s
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In 1933, work by Irène and Frédéric Joliot-Curie proved Einstein’s prediction. They produced:
A. the first working model of a nuclear bomb.
B. an equation to calculate the fusion reaction inside a star.
C. produced an x-ray crystallography image of a nucleus.
D. produced a photograph that showed the creation of two particles when a particle of light was destroyed.
D. produced a photograph that showed the creation of two particles when a particle of light was destroyed.
In 1933, Irène and Frédéric Joliot-Curie produced a photograph that showed the creation of two particles when a particle of light was destroyed, which was Einstein's prediction in the concept of pair production, which was a process in which two particles are created when a photon is absorbed. This photograph was the first experimental evidence of this process, which was a significant discovery in the field of nuclear physics.
can opinion lead to truth?
Answer:
No
Explanation: An opinion is a judgment, viewpoint, or statement that is not conclusive, rather than facts, which are true statements.
a dog runs 25 meters over 4 seconds what is the dog’s average speed
Answer:
The dog's average speed is 6.25 m/s.
Explanation:
To calculate the dog's average speed, you would divide the distance traveled (25 meters) by the time it took to travel that distance (4 seconds).
Average speed = distance / time
Average speed = 25 meters / 4 seconds
Average speed = 6.25 m/s (meters per second)
Answer:6.25 m/
Explanation:average speed =distance/time
HELP!!!!! a 3 kg mass is moving 14.2 m/s east and collides with a 8 kg mass moving 8.2 m/s west. After the elastic collision, what is the velocity of the 8 kg mass? (east is positive and west is negative in terms of direction)
After the elastic collision, velocity of the 8 kg mass is calculated as 13.525 m/s.
What is elastic collision?A collision in which there is no net loss in kinetic energy in the system as a result of the collision is called an elastic collision. Momentum and kinetic energy are conserved quantities in elastic collisions.
m1v1i + m2v2i = m1v1f +m2v2f
m1 =3 kg ; v1i = 14.2 m/s
m2 = 8kg ; v2i= 8.2 m/s
v1f= 0
v2f = m1v1i + m2v2i / m2
= (3* 14.2) + (8 * 8.2)/8
V2f = 13.525 m/s
Velocity of the 8 kg mass is 13.525 m/s.
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Mass- 1.50 kg. Angle- 34.4. Coefficient of friction 0.350. find net force and acceleration. Use degrees not radians
The gravitational force has an acceleration of 14.
What is gravity?Gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. It is by far the weakest known force in nature and thus plays no role in determining the internal properties of everyday matter. On the other hand, through its long reach and universal action, it controls the trajectories of bodies in the solar system and elsewhere in the universe and the structures and evolution of stars, galaxies, and the whole cosmos. On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth’s mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects. At Earth’s surface the acceleration of gravity is about 9.8 metres (32 feet) per second per second. Thus, for every second an object is in free fall, its speed increases by about 9.8 metres per second. At the surface of the Moon the acceleration of a freely falling body is about 1.6 metres per second per second.To learn more about acceleration refer to:
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A 0.0300-kg bullet is fired vertically at 200.0 m/s into a 0.159-kg baseball that is initially at rest. The bullet lodges in the baseball and, after the collision, the baseball/bullet rise to a height of 37.0 m. Assume up to be the positive direction. What was the average force of air resistance while the baseball/bullet was rising? If the force is upward, enter a positive answer and if the force is downward, enter a negative answer.
The average force of air resistance while the baseball/bullet was F=-0.94N
Given:
mbullet=0.030 kg
vbullet=200m/s
mbasketball=0.15kg
To solve the velocity after collision, we will use the conversation of momentum
m₁v₁=m₂v₂
[tex]v_{2} =\frac{m_{1}v_{1} }{m_{2} }[/tex]
since the baseball is at rest before the collision, the initial momentum can be calculated purely from the bullet
m₁=mbullet=0.030kg.
v₁=vbullet=200m/s
However, since the bullet lodges to the baseball after the collision, the mass after the collision should be
m₂=mbullet+mbaseball
m₂=0.030kg+0.15kg
m₂=0.18kg
plugging in the values to the equation of v₂
v₂=(0.030)(200)/0.18
v₂=33m/s
To calculate the average force air resistance, we must first determine the work done by the air on the bullet and baseball
-Wair=Wbullet+baseball-Wgravity
Since work done by the bullet and baseball is purely kinetic energy, it can be expressed as
[tex]Wbullet+baseball=\frac{1}{2}mv^2[/tex]
On the other hand, the work done by gravity is purely potential thus
Wgravity=mgh
we can now express the work done on the air as follows
[tex]Wair=\frac{1}{2} mv^2+mgh[/tex]
plugging the given values
[tex]Wair=\frac{1}{2} (0.18)(33.333)^2+(0.18)(9.8)(37)[/tex]
Wair=-34.73J
We will now use the work equation to calculate the average force of air resistance:
W=Fd
[tex]F=\frac{W}{d} \\\\F=\frac{-34.73}{37}[/tex]
F=-0.97N
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What is the temperature of a gas in which the atoms are moving very, very rapidly?
O cold
O room temperature
O hot
The temperature of a gas in which the atoms are moving very, very rapidly is hot.
The correct option is C.
What is temperature?Temperature is defined as the degree of hotness or coldness of something.
Temperature increase results when heat energy is added to a substance resulting in an increase in the kinetic energy of the partticles of the substance.
The effect of temperature increase on substances includes an increase in the motion of the particles of the substances, a color change, an increase in pressure for gases, etc.
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An 800kg roller coaster is at the top of a hill (the hill radius is 7m) moving with a speed of 4 m/s. What is the normal force on the roller coaster at this point?
Normal Force =____ N (round to the nearest tenth)
Explanation:
normal force = mass times gravity
Fn = MG
Fn=?
M=800kg
G=4m/s
Fn = 800*4
Fn = 3200 N