The average speed of the molecules in body A is 465.52 m/s, and in body B is 147.07 m/s.
The average speed of molecules in a substance is directly related to the temperature and inversely related to the square root of the mass. According to the kinetic theory of gases, the average kinetic energy of gas molecules is directly proportional to their temperature.
Given that both bodies A and B have the same temperature of 40 degrees Celsius, the average speed of the molecules in body A will be higher than that of body B because it has a smaller mass. where v is the average speed, k is the Boltzmann constant, T is the temperature in Kelvin, and m is the mass of the molecule.
As the masses are given as 5 kg and 50 kg for bodies A and B, respectively, it is important to convert them to molecular masses. Assuming the bodies are composed of air, the average molecular mass of air is approximately 29 g/mol.
For body A, the molecular mass will be
5kg
/0.029kg/mol
=172.41mol
5kg/0.029kg/mol=172.41mol. For body B, the molecular mass will be
50
kg
/
0.029
kg/mol
=
1724.14
mol
50kg/0.029kg/mol=1724.14mol.
Substituting the values into the formula, we find that the average speed of the molecules in body A is
3
⋅
1.38
×
1
0
−
23
J/K
⋅
(
40
+
273
)
172.41
mol
=
465.52
m/s
172.41mol
3⋅1.38×10
−23
J/K⋅(40+273)=465.52m/s.
Similarly, the average speed of the molecules in body B is
31.38
×1
0
−23J/K
⋅
(40
+
273)
1724.14mol
=147.07m/s
1724.14mol
3⋅1.38×10
−23
J/K⋅(40+273) =147.07m/s.
Therefore, the average speed of the molecules in body A is 465.52 m/s, and in body B is 147.07 m/s.
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What is the momentum of a 110kg fullback running at 860 m/s?*
Answer:
94600kgm/s
Explanation:
Linear momentum of a body can be calculated using the formula;
P = mv
Where;
P = linear momentum (Kgm/s)
m = mass of body (kg)
v = speed of the moving body (m/s)
According to the provided information in the question, m = 110kg, v = 860m/s
P = 110 × 860
P = 94600kgm/s
estimate the angular momentum of the earth - moon system measured from the center of the earth. assume that both the moon and the earth are solid spheres and everything spins/rotates in the same sense. answer in terms of m e
The angular momentum of the earth-moon system measured from the center of the earth is approximately 7.07 x 10^33 kg m^2/s. The angular momentum of the earth-moon system can be estimated by multiplying the moment of inertia of the system by the angular velocity.
The moment of inertia for a solid sphere is (2/5)mr^2, where m is the mass of the sphere and r is the radius.
For the earth, the moment of inertia is (2/5)m_eR_e^2, where R_e is the radius of the earth. For the moon, the moment of inertia is (2/5)m_mR_m^2, where m_m is the mass of the moon and R_m is the radius of the moon.
Assuming that both the earth and moon are rotating in the same sense, the angular velocity of the system can be calculated by dividing the angular displacement (2π radians) by the time it takes for one complete revolution, which is the sidereal month of about 27.32 days.
Using the values for the moment of inertia and angular velocity, the angular momentum of the earth-moon system can be estimated as:
L = (2/5)m_eR_e^2ω + (2/5)m_mR_m^2ω
where ω is the angular velocity. Plugging in the values and solving for L, we get:
L = (2/5)m_eR_e^2(2π/27.32 days)
L = (2/5)m_e(6.371 x 10^6 m)^2(2π/27.32 x 24 x 60 x 60 seconds)
L = 7.07 x 10^33 kg m^2/s
Therefore, the angular momentum of the earth-moon system measured from the center of the earth is approximately 7.07 x 10^33 kg m^2/s.
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You are driving at 25 m/s with your cruise control on when you see a fallen tree in the road. It takes you 0.30 s to put on the brakes, your car decelerates at a rate of 5.0 m/s2, and the tree is 75 m ahead. Will you hit the tree? Choose the correct answer and reason below.
Explanation:
Given data
velocity v= 25m/s
The time it takes to put on brake t= 0.3s
the distance covered when the brake was put on is
v=s/t
s= v*t
s= 25*0.3s
s= 7.5m
hence the distance covered is 7.5m
Also the rate of decrease in aceleration is 5m/s^2
we can also calculate the distance covered at this rate
v^2=u^2+2as
25^2= 0+2*5*s
625=10s
divide both sides by 10
s=625/10
s= 62.5m
The total distance covered between putting on the brakes and decelareation is 7.5+62.5= 70m
Given that the tree is 75m ahead, the car would not hit the tree
Which way do the trade winds usually blow in the Pacific Ocean
Answer:
Hey mate.....
Explanation:
This is ur answer......
Winds and currents in the Pacific flow predominantly from East to West. Above the equator Pacific Ocean trade winds blow from the northeast. Below the equator they blow from the southeast.
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A 46.4 kg wolf is running at 12.2 m/s what is the wolfs kinetic energy
The 46.4 kg wolf moving at a speed of 12.2 m/s has a kinetic energy of 3,456.98 J.
What establishes an object's entire amount of kinetic energy?The amount of work done on an item and its acceleration following a moment of inertia caused by external forces are two aspects that affect the overall kinetic energy of an object.
The formula: gives the kinetic energy (KE) of an item.
KE = (1/2) × mass × velocity²
where velocity is measured in meters per second (m/s) and mass is measured in kilograms (kg).
Plugging in the following numbers will allow us to determine the wolf's kinetic energy:
KE = (1/2) × 46.4 kg × (12.2 m/s)²
= (1/2) × 46.4 kg × 148.84 m²/s²
= 3,456.98 joules (J)
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Kayaks have been used for thousands of years to hunt and fish in Arctic regions. The total volume of a particular kayak is 285 litres (which is 0.285 m3). It has a mass of 75 kg. The man using it has a volume of 0.066 m3. When sitting in the kayak, half of man’s volume is inside the kayak. The density of the human body is about 1000 kg/m3.Calculate the density of the empty kayak.
Given,
The volucme of Kayak, V₁=0.285 m³
The mass of the Kayak when the man is sitting in it, m₁=75 kg
The volume of the man, V₂=0.066 m³
The density of the man, d=1000 kg/m³
The mass of the man inside the Kayak is given by,
\(m_2=V_2\times d\)On substituting the known values,
\(\begin{gathered} m_2=0.066\times1000 \\ =66\text{ kg} \end{gathered}\)The mass of the empty Kayak is,
\(\begin{gathered} M=m_1-m_2 \\ =75-66 \\ =9\text{ kg} \end{gathered}\)Given that only half of the volume of the man is inside the Kayak when he is sitting in it. Half of the man's volume which is outside the Kayak will be considered in the total volume of the Kayak when he is sitting in it. Thus we have to subtract half of his volume, which is outside the Kayak, while we calculate the density of the Kayak.
Thus the density of the empty Kayak is
\(\rho=\frac{M}{V_1-\frac{V_2}{2}}\)On substituting the known values,
\(\begin{gathered} \rho=\frac{9}{0.285-\frac{0.066}{2}} \\ =35.71kg/m^3 \end{gathered}\)Thus the density of the Kayak is 35.71 kg/m³
50 pt please answer. If the voltmeter in the series circuit connected in parallel with one user shows 220V and the second voltmeter connected to a user in parallel shows 230V, in which case is more energy released?
Answer:
A voltmeter device determines the electrical potential difference between two points in an electrical circuit. The voltmeter has high internal resistance because of which it does not allow current to pass through it. So, it is in parallel connection with the circuit component as it does not draw any current and also does not affect the net resistance of the circuit.
Explanation:
The force F between two parallel wires carrying electric currents is inversely proportional to the distance d between the wires. If a force of 0.750 N exists between wires that are 1.75 cm apart, what is the force between them if they are separated by 2.50 cm?
the force between the two wires if they are separated by 2.50 cm is 0.525 N.
Given that force F between two parallel wires carrying electric currents is inversely proportional to the distance d between the wires and that a force of 0.750 N exists between wires that are 1.75 cm apart and that we are supposed to find the force between them if they are separated by 2.50 cm.
Let the initial force be F₁ and the initial distance be d₁.
Therefore, we can write the relationship between force and distance as;
F₁d₁ = F₂d₂
Where
;F₁ = 0.750 N (initial force)
d₁ = 1.75 cm (initial distance)
F₂ = ? (force at new distance)
d₂ = 2.50 cm (new distance)
Let us find F₂;F₁d₁ = F₂d₂F₂ = F₁d₁/d₂
Now substitute the values we know;
F₂ = (0.750 N x 1.75 cm) / 2.50 cmF₂ = 0.525 N
Therefore, the force between the two wires if they are separated by 2.50 cm is 0.525 N.
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Which kind of disturbance is created by moving a spring toy up and down?
perpedicular to the wave motion
in the same direction as the wave motion
in a circular motion
parallel to the wave motion
Answer:
This is basically Simple Harmonic Motion - where the wave disturbance is in the same direction as the wave direction.
That describes (B).
note that y = A cos ω t where the disturbance is y and ω the the angular frequency and is in the same direction as the disturbance y
This seems the make (D) a satisfactory answer
The projection of the disturbance y is perpendicular (sinusoidal) to the time axis, but the disturbance is still in the same direction as the wave motion
The wave generated by a spring is a transverse wave where, the particles oscillate in a direction perpendicular to the the wave motion.
What are mechanical waves?Mechanical waves are energy transfer through a medium. Unlike electromagnetic waves, mechanical waves cannot transfer through vacuum.
There are two types of mechanical waves namely, transverse waves and longitudinal waves. Transverse waves are those in which the oscillation of particles or disturbance is created perpendicular to the wave motion.
In longitudinal waves, the particle motion or disturbance is created along the wave motion. The wave generated in a spring is transverse wave thus, the disturbance created by moving it up and down will be perpendicular to the wave motion.
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A light source radiates 60.0 W of single-wavelength sinusoidal light uniformly in all directions. Find the amplitude of the electric field of this light at a distance of 0.400 m from the bulb
Answer:
E = 149.92 N/C
Explanation:
Given that,
The power emitted by a sinusoidal light is 60 W
Intensity is equal to the power per unit area. It can be given by :
\(I=\dfrac{P}{4\pi r^2}\\\\I=\dfrac{60}{4\pi \times (0.4)^2}\\\\I=29.84\ W/m^2\)
The relation between the amplitude of the electric field and the intensity is given by :
\(I=\dfrac{E_o^2c \epsilon_o}{2}\)
Here, \(E_o\) is the amplitude of the electric field
\(E_o=\sqrt{\dfrac{2I}{c\epsilon_o}} \\\\E_o=\sqrt{\dfrac{2\times 29.84}{3\times 10^8\times 8.85\times 10^{-12}}}\\E_o=149.92\ N/C\)
So, the amplitude of the electric field is 149.92 N/C.
A ball is thrown directly downward with an initial speed of 8.55 m/s, from a height of 30.4 m. after what time interval does it strike the ground?
The ball will reach the ground after 1.8 seconds.
We have a ball thrown directly downward.
We have to determine after what time interval does it strike the ground,
According to the question -
u = 8.55 m/s
S = 30.4 m
a = 9.8 m/\(s^{2}\)
Using the Second Equation of Motion -
x = ut + \(\frac{1}{2} at^{2}\)
Substituting the values -
30.4 = 8.55t + 4.9\(t^{2}\)
4.9\(t^{2}\) + 8.55t - 30.4 = 0
Solve this quadratic equation, you will get -
t = 1.8 seconds.
Hence, the ball will reach the ground after 1.8 seconds.
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True or False: The northern & southern lights are caused by solar wind particles interacting with gases in our atmosphere.
Answer:
False.
Explanation:
An aurora is a natural electric phenomenon that creates bright and colorful light displays in the sky. These dramatic and colorful lights are created when electrically charged particles from solar winds enter the Earth's atmosphere and interact with gases in the atmosphere.
The function of the auditory canal is to enhance the intensities of some frequency sounds by means of _____.
Resonance
The function of the auditory canal is to enhance the intensities of some frequency sounds by means of Resonance.
Resonance: What does that mean?The body rapidly starts to vibrate or is free to vibrate with a greater amplitude when the frequency of an externally applied periodic force is equivalent to the natural frequency of the body. Resonance is the name given to this phenomena.In the actual world, what is resonance?When one of the natural frequencies of vibration of the pushed or driven harmonic oscillator is identical to the frequency of the applied force, resonance results. Resonance can be found in many aspects of daily life, including swing, guitar, pendulum, bridges, and music systems.Why does resonance happen?
Resonance happens when an object's oscillations become more intense because they are matched by the vibrations of another object.
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what is fast carbon and what is slow carbon
please dont search it up need this right now extra points!
Answer:
the fast carbon cycle follows the movement of carbon through living (biotic) components of an ecosystem. This occurs faster because life moves more quickly. The fast carbon cycle focuses primarily on the biosphere, while the slow carbon cycle is more involved with the hydrosphere, lithosphere and atmosphere.
Explanation:
Strength training is beneficial because it decreases your risk of injury. Which statement BEST describes why this is true? A. Muscular fitness training can prevent or improve diabetes and sarcopenia. B. Muscular fitness training increases muscle mass, which increases your metabolism. C. Muscular fitness training strengthens tendons, ligaments, and cartilage. D. Muscular fitness training improves self-image and athletic performance. Please select the best answer from the choices provided. A B C D
Answer: B. Muscular fitness training increases muscle mass, which increases your metabolism
The condenser transfers energy from the coolant to the air in the building.
When the total energy input to the heat pump system is 1560 kJ the temperature of the air
in the building increases from 11.6 °C to 22.1 °C.
The efficiency of the heat pump system is 87.5%.
The mass of the air inside the building is 125 kg.
Calculate the specific heat capacity of the air in the building.
Give your answer in standard form.
Answer:
Approximately \(1.04 \; {\rm J \cdot g^{-1} \cdot K^{-1}}\).
Explanation:
Multiply energy input by efficiency to find the useful energy output:
\(\begin{aligned}& (\text{useful out}\text{put}) \\ &= (\text{efficiency})\, (\text{energy in}\text{put}) \\ &= (87.5\%)\, (1560\; {\rm kJ}) \\&= (0.875)\, (1560\; {\rm kJ}) \\ &= 1365\; {\rm kJ}\end{aligned}\).
In other words, \(1365\; {\rm kJ}\) of energy was supplied to the air in the building.
The standard unit of energy is Joules (\({\rm J}\).) Apply unit conversion:
\(\begin{aligned}(1365\; {\rm kJ})\, \left(\frac{10000\; {\rm J}}{1\; {\rm kJ}}\right) = 1.365\times 10^{6}\; {\rm J}\end{aligned}\).
Let \(c\) denote the specific heat capacity of the air in this building. Let \(m\) denote the mass of the air.
Let \(Q\) denote the energy supplied to the air. Let \(\Delta T\) denote the change in temperature. The equation \(Q = c\, m\, \Delta T\) relates these quantities.
In this question, the change in the temperature of the air in this building is:
\(\Delta T = (22.1\; {\rm ^{\circ} C}) - (11.6\; {\rm ^{\circ} C}) = 10.5\; {\rm K}\).
Rearrange the equation \(Q = c\, m\, \Delta T\) to find specific heat capacity \(c\):
\(\begin{aligned}c &= \frac{Q}{m\, \Delta T} \\ &= \frac{1.365 \times 10^{6}\; {\rm J}}{(125\; {\rm kg})\, (10.5\; {\rm K})} \\ &\approx 1.04 \times 10^{3}\; {\rm J \cdot kg^{-1} \cdot K^{-1}}\end{aligned}\).
22. radio waves are diffracted by large objects such as buildings, whereas light is not noticeably diffracted. why is this? a) radio waves are unpolarized, whereas light is normally polarized. b) the wavelength of light is much smaller than the wavelength of radio waves. c) the wavelength of light is much greater than the wavelength of radio waves. d) radio waves are coherent and light is usually not coherent. e) radio waves are polarized, whereas light is usually unpolarized.
Radio waves are diffracted by large objects such as buildings, whereas light is not noticeably diffracted, because b) the wavelength of light is much smaller than the wavelength of radio waves.
The diffraction is the bending of waves around obstacles or through small openings, and the amount of diffraction is proportional to the size of the obstacle or opening and the wavelength of the wave. Since radio waves have much longer wavelengths than visible light, they are more easily diffracted by large objects such as buildings. On the other hand, visible light has a much smaller wavelength than radio waves, which makes it less prone to diffraction. Polarization and coherence are not directly related to diffraction.
Polarization refers to the direction of oscillation of the electromagnetic waves, while coherence refers to the consistency of phase between waves. Therefore, the correct answer is b) the wavelength of light is much smaller than the wavelength of radio waves. Radio waves are diffracted by large objects such as buildings, whereas light is not noticeably diffracted, because b) the wavelength of light is much smaller than the wavelength of radio waves.
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what kind are ray diagram is this. pls identify it
Letter A is the plane surface
Letter B is the incident ray
Letter C is the reflected ray.
What are the terms of the ray diagram?The terms of the ray diagram is illustrated as follows;
(i) This arrow indicates the incident ray, which is known as the incoming ray.
(ii) This arrow indicates the normal, a perpendicular line to the plane of incidence.
(iii) This arrow indicates the reflected ray; the out going arrow.
(iv) This the angle of incident or incident angle.
(v) This is the reflected angle or angle of reflection.
Thus, based on the given letters, we can match them as follows;
Letter A is the plane surface (surface containing the incident, reflected rays)
Letter B is the incident ray
Letter C is the reflected ray.
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¿Cuál de las siguientes no es un tipo de fuerza de roce
Which of the following objects had the greatest force applied to it? *
A) An object with a mass of 10 kg and an acceleration of 2.5 m/s^2
B) An object with a mass of 12 kg and an acceleration of 3.0 m/s^2
C) An object with a mass of 20 kg and an acceleration of 1.5 m/s^2
D) An object with a mass of 15 kg and an acceleration of 1.0 m/s^2
Answer:
B) is the answer
Explanation:
A) is 25 N
B) is 36N
C) is 30N
D)15N
Technological design leads to the development and innovation of new technologies.
Which statement represents innovation?
O Solar panels have increased in efficiency over the past 20 years.
O The Sun is the primary source of energy for the solar system
O Previous models of a type of car have fewer engine problems.
O Natural selection ensures that only the fittest survive.
Answer:
Solar panels have increased in efficiency over the past 20 years
Explanation:
Because if efficiency have increased other technologies will be discovered
Answer:
Solar panels have increased in efficiency over the past 20 years
Explanation:
If there were no air resistance, what would happen to hailstones?
Answer: If there are no air resistance the hailstones would hit the earth at velocities near 350 m/s and melt before they hit the ground.
Explanation: Hope This Helps
An electromagnetic wave has a frequency of 8.2 x 10¹⁴ Hz. What is the wavelength of the wave?
Explanation:
Given parameters:-
Frequency of EMW is - 8.2 x 10¹⁴ HzTo find:-
Wavelength(\(\lambda\))?Solution:-
Here , we are provided frequency of electromagnetic wave and we have to find the wavelength of the wave. To find the wavelength we have to divide the speed of light by given frequency. therefore,
\(\tt\red{wavelength( \lambda)= \frac{speed(c)}{frequency(f)}}\)
\( \rightarrow \sf \: \lambda = \frac{3 \times {10}^{8} }{8.2 \times {10}^{14} } \\ \\ \rightarrow \sf \: \lambda = \frac{3 \times {10}^{8} \times {10}^{ - 14} }{8.2} \\ \\ \rightarrow \sf \: \lambda = 0.36 \times {10}^{6} \\ \\ \rightarrow \sf \: \lambda = 36 \times {10}^{4}m\)
cerebrum what is the meaning
Answer:
Plural cerebrums cerebra The largest part of the vertebrate brain, filling most of the skull and consisting of two cerebral hemispheres divided by a deep groove and joined by the corpus callosum, a transverse band of nerve fibers. The cerebrum processes complex sensory information and controls voluntary muscle activity.
Explanation:
What kind of image can a single converging lens not produce?
A real image that is inverted and is smaller with respect to the object.
A virtual image that is upright and smaller with respect to the object.
A real image that is inverted and is larger with respect to the object.
A virtual image that is upright and is larger with respect to the object.
A single converging lens cannot produce a real image that is inverted and is larger with respect to the object(c).
A single converging lens can produce both real and virtual images, and the characteristics of the image depend on the location of the object relative to the lens. When an object is located beyond the focal point of the lens, a real image is formed on the opposite side of the lens. The image is inverted and smaller than the object.
If the object is positioned between the focal point and the lens, a virtual image is formed on the same side as the object. The virtual image is upright and larger than the object.
However, a single converging lens cannot produce a real image that is inverted and larger than the object. This is because when the object is within the focal length of the lens, the image formed is virtual, upright, and larger than the object. So c is correct option.
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A 5 kg object experiences a horizontal force, which
causes it to accelerate at 2 m/s2, moving it a distance of
10 m horizontally. How much work is done by the force
on the object?
Answer:
The work is done by the force 100 NM.
Explanation:
=5kg * 2 m/s^2
=5* 2 N (kg*m/s^2=N)
=10N
Work done = force* distance
=10N* 10
= 100 NM
For an object of mass 5 kg accelerating at the rate of 2 m/s², then the work done by the force on the object will be 100 Nm.
What is Work?In physics, the word "work" involves the measurement of energy transfer that takes place when an item is moved over a range by an externally applied, at least a portion of which is applied within the direction of the displacement.
The length of the path is multiplied by the element of a force acting all along the path to calculate work if the force is constant. The work W is theoretically equivalent towards the force f times the length d, or W = fd, to portray this concept.
As per the given information in the question,
Mass of the object, m = 5 kg
Acceleration, a = 2 m/s²
Distance, d = 10 m
W = f × d
W = m × a × d
W = 5 × 2 × 10
W = 100 Nm
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Calculate the de broglie wavelength for a proton moving with a speed of 1.0 x 10^6 m/s.
The de Broglie wavelength for a proton moving with a speed of 1.0 x 10⁶ m/s is approximately 6.63 x 10⁻⁹ meters.
The de Broglie wavelength (λ) of a particle is given by the equation:
λ = h / p
Where:
λ is the de Broglie wavelength
h is the Planck's constant (approximately 6.63 x 10⁻³⁴ joule-seconds)
p is the momentum of the particle
The momentum of a particle is given by:
p = mv
Where:
m is the mass of the particle
v is the velocity of the particle
In this case, we are dealing with a proton. The mass of a proton (m) is approximately 1.67 x 10⁻²⁷ kilograms.
Given the speed of the proton (v) as 1.0 x 10⁶ m/s, we can calculate the momentum (p):
p = mv = (1.67 x 10⁻²⁷ kg) x (1.0 x 10⁶ m/s) = 1.67 x 10⁻²¹ kg·m/s
Now, we can calculate the de Broglie wavelength (λ):
λ = h / p = (6.63 x 10⁻³⁴ J·s) / (1.67 x 10⁻²¹ kg·m/s) ≈ 6.63 x 10⁻⁹ meters.
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7. A bullet leaves a 28-in rifle barrel at 2700 ft/s. What was a) its acceleration and b) time in the barrel?
The acceleration of a bullet that leaves a 28-in rifle barrel at 2700 ft/s is 1.562 x 10⁶ m/s² and its time in the barrel is 0.0017s
a) How to determine the acceleration of the bullet
Converting inches to a foot
1 inch = 1/12 foot
28-in = 1/12 x 28 ft
28-in = 2.33ft
Therefore, the distance, s, covered by the bullet is 2.333ft
Using one of the equations of motion
2as = u² - v²
The initial velocity is 0
Where a = acceleration of the bullet
s = distance
u = initial velocity
v = final velocity
a = v² - u² ÷ 2s
= (2700 ft/s)² - 0 ÷ 2 (2.333ft)
a = 1.562 x 10⁶ m/s²
b) How to determine the time of the bullet in the barrel
s = v² + u² ÷ 2
t = 2 ÷ (v² + u²)
t = 2 (2.333ft) ÷ (0 + 2700 ft/s)
t = 0.0017s
In summary, a bullet that leaves a 28-in rifle barrel at 2700 ft/s would have an acceleration of 1.562 x 10⁶ m/s², spending a time of 0.0017s in the barrel.
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Does ultraviolet light and irradiation destroy riboflavin?
Yes, ultraviolet light and irradiation can destroy riboflavin.
Riboflavin is a light-sensitive vitamin that can break down when exposed to light, particularly UV light. This is why milk and other products that are fortified with riboflavin are often packaged in opaque containers to protect the vitamin from light damage.
When ultraviolet (UV) radiation activates the vitamin B2 riboflavin, active oxygen is produced, which destroys cell membranes and stops the spread of pathogens like viruses, bacteria, and protozoa in all blood products.
However, some studies suggest that controlled exposure to UV light and riboflavin can be used to disinfect surfaces and water. In this process, called UV-C irradiation, the riboflavin helps to enhance the antimicrobial effects of the UV light.
Riboflavin can therefore be destroyed by radiation and UV light.
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Transverse waves on a string have a wave speed of 8.00 m/s, an amplitude of 0.0700 m, and a wavelength of 0.320 m. The waves travel in the positive x direction, and the x=0 end of the string has its maximum displacement at t=0. What is the displacement of a small piece of the string at x=0.360 m and t=0.150 s?
The displacement of the small piece of the string at x = 0.360 m and t = 0.150 s is approximately -0.0198 m.
How to find displacement?To determine the displacement of a small piece of the string at a specific position and time, use the equation for the transverse wave:
y(x, t) = A × sin(kx - ωt + φ)
where:
y(x, t) = displacement of the string at position x and time t,
A = amplitude of the wave,
k = wave number (k = 2π/λ, where λ is the wavelength),
ω = angular frequency (ω = 2πf, where f is the frequency),
φ = phase constant.
Given the values:
A = 0.0700 m (amplitude),
v = 8.00 m/s (wave speed),
λ = 0.320 m (wavelength),
x = 0.360 m (position),
t = 0.150 s (time).
First, calculate the wave number (k) using the wavelength:
k = 2π / λ = 2π / 0.320 ≈ 19.63 rad/m
Next, calculate the angular frequency (ω) using the wave speed and wavelength:
v = ω / k
ω = v × k = 8.00 × 19.63 ≈ 157.04 rad/s
Now plug the values into the equation to find the displacement at the given position and time:
y(0.360, 0.150) = 0.0700 × sin(19.63 × 0.360 - 157.04 × 0.150)
y(0.360, 0.150) ≈ 0.0700 × sin(7.087 - 23.556)
= 0.0700 × sin(-16.469)
= -0.0198
Therefore, the displacement of the small piece of the string at x = 0.360 m and t = 0.150 s is approximately -0.0198 m.
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