To find the maximum mass that can hang without sinking from a 70-cm diameter styrofoam sphere in water, we need to calculate the buoyant force exerted by the water on the sphere and compare it to the weight of the sphere and the hanging mass.
The maximum mass that can hang without sinking from a 70-cm diameter styrofoam sphere in water is approximately 1763 kg.
What is buoyant force?The upward force that a fluid (such water or air) applies to an item that is partially or completely submerged in it is known as buoyant force. Archimedes' principle governs this force, which arises from the pressure difference between the top and bottom of the item brought on by the weight of the fluid.
To calculate the maximum mass that can hang without sinking from a 70-cm diameter styrofoam sphere in water:
The buoyant force is equal to the weight of the water displaced by the sphere, which is given by:
Fb = Vwater x ρwater x g
Where Vwater is the volume of water displaced by the sphere, ρwater is the density of water, and g is the acceleration due to gravity.
The volume of water displaced by the sphere is equal to the volume of the sphere, which is:
Vsphere = (4/3)πr^3 = (4/3)π(35 cm)^3 = 179594 cm^3
The density of water is approximately 1 g/cm^3, and the acceleration due to gravity is 9.8 m/s^2.
Therefore, the buoyant force on the sphere is:
Fb = Vwater x ρwater x g = 179594 cm^3 x 1 g/cm^3 x 9.8 m/s^2 = 17618 N
Now we can find the maximum mass that can hang without sinking by comparing the buoyant force to the weight of the sphere and the hanging mass. The weight of the sphere can be calculated using its volume and density, which is given as:
Wsphere = Vsphere x ρsphere x g
where ρsphere is the density of the styrofoam sphere, which is approximately 0.03 g/cm^3.
Thus, the weight of the sphere is:
Wsphere = Vsphere x ρsphere x g = 179594 cm^3 x 0.03 g/cm^3 x 9.8 m/s^2 = 526 N
To find the maximum hanging mass, we subtract the weight of the sphere from the buoyant force:
Fb - Wsphere = m x g
Where m is the maximum hanging mass.
Substituting the values we have calculated, we get:
17618 N - 526 N = m x 9.8 m/s^2
Therefore,
m = (17618 N - 526 N) / (9.8 m/s^2) = 1763 kg (to two significant figures)
Hence, the maximum mass that can hang without sinking from a 70-cm diameter styrofoam sphere in water is approximately 1763 kg.
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A moon orbits a planet in a circular orbit so that its velocity along the circular path changes continuously with time. Explain how the force of gravity changes the moon's velocity.
Answer: The Earth exerts a gravitational force on the Moon which acts as a centripetal force, directed toward the center of the Earth which creates a centripetal acceleration, of which is also directed toward the center of the Earth causing the velocity of the Moon to constantly change direction in a circular orbit.
Explanation:
The force that causes objects to follow a circular path is called the centripetal force and acts towards the center of the circle. Gravitational force on the other hand is the force that objects exerts on each other. As shown on the attached picture when an object moves in a uniform circular motion, its velocity is always in the direction of the tangent of the orbit. This accounts for the constant change in velocity of the object as it is moving around the circle. Furthermore the acceleration of the object which is the moon in this case is directed towards the center of the circle which accounts for the changing direction of the velocity of the moon. Simply the Earth's gravity pulls the Moon in an orbit with circular motion.
write a report on why is water a poor conductor of heat
Answer:
Because water is wet
Explanation:
Water is wet
4) [10 pts] Explain in words how quantum mechanics solves the problem of stability of atoms. Be sure to explain the argument for instability of atomes in classical mechanics.
The quantization of energy levels and the restrictions on electron transitions in quantum mechanics ensure the stability of atoms. Electrons occupy specific energy levels and are confined to certain orbits around the nucleus, maintaining a balance between the attractive force of the nucleus and the centrifugal force of their motion.
In classical mechanics, atoms are described as miniature solar systems with electrons orbiting around the nucleus.
According to classical electromagnetic theory, an accelerated charged particle emits electromagnetic radiation.
Therefore, in the classical view, orbiting electrons would continuously lose energy and eventually spiral into the nucleus, causing atoms to collapse.
Quantum mechanics, on the other hand, provides a different perspective on the stability of atoms.
It introduces the concept of wave-particle duality, where particles like electrons can exhibit both particle-like and wave-like behavior.
In quantum mechanics, electrons are described by wave functions, which represent the probability distribution of finding the electron in different regions around the nucleus.
The key idea in quantum mechanics is that electrons can only occupy specific energy levels, or quantized states, within the atom. These energy levels are distinct and separated by energy gaps.
Electrons can transition between these energy levels by absorbing or emitting discrete amounts of energy, corresponding to the emission or absorption of photons.
The stability of atoms in quantum mechanics arises from the concept of the ground state.
The ground state is the lowest energy level that an electron can occupy, and it represents the most stable configuration for the atom. In this state, the electron does not emit any radiation and does not spiral into the nucleus.
The quantization of energy levels and the restrictions on electron transitions in quantum mechanics ensure the stability of atoms.
Electrons occupy specific energy levels and are confined to certain orbits around the nucleus, maintaining a balance between the attractive force of the nucleus and the centrifugal force of their motion.
Overall, quantum mechanics resolves the classical problem of instability in atoms by introducing the concept of quantized energy levels, which govern the behavior of electrons and prevent their collapse into the nucleus.
This understanding of atomic stability forms the basis for our modern understanding of the structure of matter and the functioning of atoms in chemical reactions.
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Question 2 (2 points)
(01.01 MC
Once a scientist has made a hypothesis, what would they typically do next? (2 points)
Оа
Analysis
Ob
Testing
Ос
Research
d
Sharing
I don’t understand this question. Can you help me?
Answer:
Testing
Explanation:
This is basically asking you what the next step of the scientific method is. First, you would ask a question. Next, you would research that question to get some background information. Once you have that information, you would create a hypothesis (typically "If..., then..., because..." format). Then you would conduct an experiment to test your hypothesis. Then you would gather data, draw conclusions, and see if your hypothesis was correct.
Hope this helps!
find the amplitude , period , and phase shift of the function . y = - 1/2 * sin(2x - pi) 1 give the exact values , not decimal approximations .
The amplitude of the function y = -1/2 * sin(2x - pi) is 1/2, the period is pi, and the phase shift is pi/2 to the right.
To find the amplitude, period, and phase shift of the given function y = -1/2 * sin(2x - pi), we can analyze it using the general sine function form y = A * sin(Bx - C). In this case, A = -1/2, B = 2, and C = pi.
1. Amplitude: The amplitude is the absolute value of A, which is |-1/2| = 1/2.
2. Period: The period of the sine function is found by dividing 2pi by the absolute value of B. So, the period is (2pi) / |2| = pi.
3. Phase shift: The phase shift is the horizontal shift of the function and is determined by C / B. In this case, the phase shift is pi / 2 to the right since it is positive.
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Proved that
V = u+at
Answer:
\(\sf Proof \ below\)
Explanation:
We know that acceleration is change in velocity over time.
\(\sf a=\frac{\triangle v}{t}\)
\(\sf a=\frac{v-u}{t}\)
v is the final velocity and u is the initial velocity.
Solve for v.
Multiply both sides by t.
\(\sf at=v-u\)
Add u to both sides.
\(\sf at + u=v\)
Answer:
Acceleration = v-u/t when we flip -u and t to right hand side
then -u changes to plus and denominator t changes to numerator
then then this equations becomes v=u+at
Explanation:
The three elements of emotion are?
Answer: Physical component- state of physiological arousal triggered by autonomic nervous system
Behavioral component- outward expression of emotion, including facial expression and behavior
Cognitive component- appraisal of the situation determine which emotion we are experiencing and why.
Explanation:
hope that helps :)
The three elements of emotions are a subjective experience, a physiological response, and a behavioral or expressive response.
What are emotions?Emotions enable us to express our needs to others, such as when we are depressed and in need of assistance. They can also assist us in taking swift action when necessary.
For instance, panic causes you to jump back onto the curb when you're ready to cross the street, and you see a car approaching swiftly. Three components make up the “feeling” aspect of consciousness: a particular physical arousal, a particular conduct that communicates the feeling to others, and an internal awareness of the emotion.
Therefore, the elements of emotions are subjective experience, physiological response, and behavioral or expressive response.
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i add 4000 joules to 1 kg of a liquid and it warms up by 2 oc. what is the specific heat of the liquid? group of answer choices 200 j/kg oc 500 j/kg oc 2000 j/kg oc 8000 j/kg oc
Pressure and temperature, a liquid's specific heat conductivity (Cp) is approximately 4.2 J/g°C. According to this, 4.2 watt years of energy needed to raise 1 water gram's temperature 1 degree Celsius.500 j/kg oc
What does liquid and solid specific heat mean?In other terms, a solid's or liquid's specific heat is the amount of energy needed to increase the temperature of an unit weight of the solid by one degree Celsius. We represent it as C. The heat needed to raise the temperature for 1 kg solid or liquid by 1K is measured in S.I. units.
Is the liquid's specific heat constant?The specific thermal conductivity of various states of materials varies often with temperature. At 20 °C, liquid water has one of the largest specific heat capacities of any common solid (4184 J kg 1 K), whereas ice's is just 2093 J kg 1 K.
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A fish inside the water 12cm below the surface looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is 4/3 the radius of circle is
Answer:
13.6 cm
Explanation:
From Snell's law:
n₁ sin θ₁ = n₂ sin θ₂
In the air, n₁ = 1, and light from the horizon forms a 90° angle with the vertical, so sin θ₁ = sin 90° = 1.
Given n₂ = 4/3:
1 = 4/3 sin θ
sin θ = 3/4
If x is the radius of the circle, then sin θ is:
sin θ = x / √(x² + 12²)
sin θ = x / √(x² + 144)
Substituting:
3/4 = x / √(x² + 144)
9/16 = x² / (x² + 144)
9/16 x² + 81 = x²
81 = 7/16 x²
x ≈ 13.6
Does light change direction toward or away from the normal when it goes from air to water? explain.
Light slows down and somewhat changes direction as it passes through water from air. Refraction is the name for this shift in direction.
Light "bends" more in the direction of the normal line when it enters a denser substance (one with a higher refractive index). Some light is reflected off of water when light that is going through the air collides with it. The remaining light enters the water and travels through it, but it bends (or refracts) as it does so. When light strikes glass or any other transparent substance, the same thing occurs. Air is lighter and thinner than glass and water. It is claimed that they are "denser" than air. Light slows down when it transitions from less dense air into denser glass or water.
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Please help me with this (20 points)
Answer:
1. troposphere
2. troposphere (still)
3. The most abundant gas in the atmosphere is nitrogen, with oxygen second. Argon, an inert gas, is the third most abundant gas in the atmosphere.
4.The stratosphere is where you'll find the very important ozone layer. The ozone layer helps protect us from ultraviolet radiation (UV) from the sun. In fact, the ozone layer absorbs most of the UV radiation the sun sends to us. Life as we know it wouldn't be possible without this layer of protection.
5. It contains the ozone, which protects Earth from the sun's radiation. Why aren't there many meteors in the troposphere? They burn up before they reach the troposphere.
Explanation:
1.The troposphere is the atmospheric layer closest to the planet and contains the largest percentage (around 80%) of the mass of the total atmosphere. Temperature and water vapor content in the troposphere decrease rapidly with altitude.
2.The layer closest to Earth's surface is the troposphere, reaching from about seven and 15 kilometers (five to 10 miles) from the surface. The troposphere is thickest at the equator, and much thinner at the North and South Poles.
3. Explained in the answer.
4. Explained in the answer.
5. Explained in the answer.
A man whoe Ma i 40kg walk up a flight of 20 tep each 150mm height in 10ec. Find the average power developed. (g=10m-2)
A man whose mass is 40kg walk up a flight of 20 step each 150mm height in 10 sec. The average power developed is 12.0 W.
The average power developed by the man as he walks up the stairs, you need to know the work he does and the time it takes him to do it. First, you can find the work done by the man by multiplying his weight (which is equal to his mass multiplied by the acceleration due to gravity) by the distance he travels:
= Work = (40 kg) x (10 m/s^2) x (20 steps x 0.150 m/step)
= 120 J
Then, you can divide the work done by the time it takes to do it to find the average power developed:
= Power = Work / Time
= 120 J / 10 s
= 12.0 W
So, the average power developed by the man as he walks up the stairs is 12.0 W.
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7. (a) How much heat energy would be required to convert 2.5kg of ice at 10 °C to steam at 100 °C?
Answer:
the answer up top is correct
Evaporation requires the particles to _____ energy.
Answer:
create
release
absorb
destroy
Answer:
Release
Explanation:
The water is heated until
Why do some people in the music industry still prefer analog music storage? Analog introduces background noise to the original recording. Analog devices record the music in its original form. It takes less time to record the music through analog devices. The equipment is lighter and less bulky for recording analog signals.
The people in the music industry still prefer analog music storage. Because analog devices record the music in its original form.
What is analog device storage?There are advantages to both digital and analog music. Even today, music connoisseurs debate the subject incessantly.
Understanding both recording methods can help you appreciate music more by providing you with a better understanding of playback depth. Analog and digital songs have different effects on playback,
But both can identify the various aspects of a song. In honor of music as a whole, we're diving into both and bringing out the best of each.
Hence people in the music industry still prefer analog music storage. Because analog devices record the music in its original form.
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Answer:
B
Explanation:
first person to answer correctly will get brainlist
5. All the resistors in this circuit, the 18 Ω resistor included, are in parallel. The voltage drop across each resistor is the same, which is the equivalent to the potential difference of the battery. That is, 36 V [choice K].
6. The ammeter is in series with the branch containing a 12 Ω resistor. Since the voltage drop across this resistor is 36 V, the current in this branch will be I = V/R = (36 V)/(12 Ω) = 3.0 A [choice D].
7. The equivalent resistance of the circuit can be calculated as follows:
1/R = 1/12 + 1/9 + 1/18 = 1/4; thus, R = 4.0 Ω [choice G].
8. Electrical power can be defined as electrical work/time, and electrical work can be given by W = qV. If P = qV/t and q/t = I (charge flowing per unit time is equal to current), then P = VI. From Ohm's law, V = IR, and I = V/R. Substituting V/R for I in the power equation, P = V²/R.
For this circuit, the V = 36 V and R (the equivalent resistance) = 4.0 Ω. So, the power loss in the circuit is P = (36 V)²/(4.0 Ω) = 324 W [choice J].
convert a mass of 1012 micrograms to kilograms.
The convert a mass of 1012 micrograms to kilograms, we need to use the metric conversion factor. The metric system uses prefixes to denote different orders of magnitude, and the prefix "micro" denotes a factor of 10^-6. This means that one microgram is equal to one millionth of a gram, or 0.000001 grams.
The convert micrograms to kilograms, we need to move six decimal places to the left, since one kilogram is equal to 1,000 grams. Therefore, we can express 1012 micrograms as 1.012 grams by dividing 1012 by 1 million. Then, we can convert grams to kilograms by dividing 1.012 by 1000, since there are 1000 grams in a kilogram. The final answer is 0.001012 kilograms, which is the mass equivalent of 1012 micrograms. This conversion is important when dealing with small masses in scientific and medical research, where measurements are often expressed in micrograms or even nanograms. Accurate conversion between units of measurement is essential to ensure accurate results and proper interpretation of data.
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In this chemical reaction, one or more atoms replaces a part of a
compound.
*
synthesis
decomposition
combustion
replacement
neutralization
Explanation:
If there are more reactants than products, it is a synthesis reaction. If oxygen is a part of the reactant, it is a combustion reaction. If one ion replaces another, it is a single replacement reaction. If there are two compounds in a reactant where cations switch, it is a double replacement reaction.
If you throw a 0.3kg ball straight up with an initial speed of 39m/s, how fast will it be moving when it’s 21m above the release point?
The question relies on conservation of energy
2 Energy equations:
Kinetic Energy = 1/2mv^2
Gravitational potential energy = mgh
Initial energy = final energy
1/2m(v0)^2 = mgh + 1/2m(vf)^2
Divide mass out to save time
1/2(v0)^2 = gh + 1/2(vf)^2
PLug in what we know:
v0 = 39 m/s
h = 21 meters
1/2(39)^2 = 9.8(21) + 1/2(vf)^2
1/2(39)^2 - 9.8(21) = 1/2(vf)^2
554.7 = 1/2(vf)^2
1109.4 = (vf)^2
vf = 33.3076 m/s
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In Video 2, you observed a "Frictionless Pendulum", the frictionless pendulum can only be simulated. Go back and see if you can observe any changes in motion. How would the motion of the pendulum change if that was a demonstration rather than a simulation? Use the CER (claim, evidence, reasoning) template to answer.
CLAIM: Write your answer to the question given: The motion of a real pendulum would ______________________ (describe how it would or would not change).
EVIDENCE: This is your example, model, observation, or idea demonstrating your claim, you could begin with “According to…” or “Based on...”, or "Watch how..."
REASONING: You could begin with, “This is because…” or “The fact that supports this evidence is…”. ONLY state science facts to support your example, do not guess, use opinion, or use inferences here.
Answer:
When the mass is drawn upwards and let go, the force of gravity accelerates it,
Explanation:
if you send me the video i can give you a better answer its just hard without seeing it
the hot and neutral wires supplying dc power to a light rail commuter train carry 800 a and are separated by 75.0 cm.
Main answer: The magnetic field between the hot and neutral wires supplying DC power to the light rail commuter train is 0.0053 T.
The magnetic field between two parallel conductors can be calculated using the equation B = (μ0*I)/(2π*r), where B is the magnetic field, μ0 is the permeability of free space, I is the current, and r is the distance between the wires. Plugging in the given values, we get:
B = (4π x 10^-7 T*m/A)*(800 A)/(2π*0.75 m)
B = 0.0053 T
Therefore, the magnetic field between the hot and neutral wires supplying DC power to the light rail commuter train is 0.0053 T.
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You lift a 44 N box from the floor and place it on a shelf that is 1.5 m above the ground . How much work did you use in lifting the box ?
Answer:
W = 66 J
Explanation:
Given that,
The weight of the box, W = 44 N
It is placed on a shelf that is 1.5 m above the ground.
We need to find the work done in lifting the box.
We know that,
Work done, W = Fd
So,
W = 44 N × 1.5 m
= 66 J
So, the required work done is equal to 66 J.
Which two characteristics determine the setrength of the gravitational force between two objects ? a. Th distance between the objects near edges
Answer:
Product of masses and square of the distance them.
Explanation:
The gravitational force between two objects is given by :
\(F=\dfrac{km_1m_2}{r^2}\)
The two characteristics that determine the strength of the gravitational force between two objects are :
1. The product of masses of two objects
2. The distance between the charges
8 A small smooth object slides from rest down a smooth inclined plane inclined at
30° to the horizontal. What is (i) the acceleration down the plane, (ii) the time
to reach the bottom if the plane is 5 m long?
The object is now thrown up the plane with an initial velocity of 15 ms -1.
(iii) How long does the object take to come to rest? (iv) How far up the plane has
the object then travelled?
Answer:
(i) The acceleration of the object down the plane is approximately 4.9 m/s²
(ii) The time it takes for the object to reach the bottom is approximately \(1.\overline{428571}\) seconds
(iii) The time it takes the object to come to rest is approximately 1.030636 seconds
(iv) The object has travelled past the top of the plane by time it comes to rest
Explanation:
(i) The given parameter for the objects motion are;
The angle of inclination of the plane with the horizontal, θ = 30°
The length of the plane, s = 5 m
Let "a" represent the acceleration down an inclined plane, due to the acceleration under gravity "g" we have;
a = g × sin(θ)
Where;
g = The acceleration due to gravity ≈ 9.8 m/s²
∴ a ≈ 9.8 m/s² × sin(30°) = 9.8 m/s² × 0.5 = 4.9 m/s²
The acceleration of the object down the plane, a ≈ 4.9 m/s²
(ii) The time it takes for the object to reach the bottom, can be found from the following kinematic equation of motion;
s = u·t + 1/2·a·t²
Where;
s = The length of the inclined plane = 5 m
u = The initial velocity of the object = 0 m/s
t = The time of motion of the object (Here the time to reach the bottom of the plane)
a = The acceleration of the object = 4.9 m/s²
Therefore, we have;
5 = 0 × t + 1/2 × 4.9 × t² = 2.45·t²
t² = 5/2.45 = 100/49
t = √(100/49) = 10/7 = \(1.\overline{428571}\)
The time to reach the bottom of the plane = t = \(1.\overline{428571}\) seconds
(iii) When the object is thrown up the plane with an initial velocity of 15 m/s, the time, "t", it takes the object to come to rest is found by the following kinematic equation of motion;
v² = u² - 2·a·s
Therefore, we have;
v² = 15² - 2 × 4.9 × 5 = 176
v = √176 = 4·√11
The velocity of the object at the top of the plane = v = 4·√11 m/s
The time it takes the object to come to rest after reaching the top of the plane = The time it takes the object (projectile) to reach maximum height
\(t_m = \dfrac{v_i \cdot sin(\theta _i )}{g}\)
Where;
\(t_m\) = The time it takes the object to reach maximum height
\(v_i\) = The initial velocity of the object at the top of the inclined plane = 4·√11 m/s
\(\theta _i\) = The initial angle of inclination of the path of the object with the horizontal = 30°
Therefore, we have;
\(t_m = \dfrac{4 \times \sqrt{11} \times sin(30^{\circ} )}{9.8} = \dfrac{10 \cdot \sqrt{11} }{49} \approx 0.67686\)
The time it takes the object to come to rest after reaching the top of the plane = The time it takes the object to reach maximum height = \(t_m\) ≈ 0.67686 seconds
The time it takes the object to reach the top of the plane, \(t_{top}\), is given from the kinematic equation of motion, v = u - a·t, as follows
v = u - a·t
∴ t = (u - v)/a
\(t_{top}\) = (15 - 4·√11)/4.9 ≈ 0.353776
The time it takes the object to reach the top of the plane = \(t_{top}\) ≈ 0.353776 s
The total time it takes the object to come to rest, ∑t = \(t_m\) + \(t_{top}\)
∴ ∑t ≈ 0.67686 + 0.353776 = 1.030636
The time it takes the object to come to rest = ∑t ≈ 1.030636 seconds
(iv) The distance up the plane the object reaches, "s", is given by the following kinematic equation;
s = u·t - 1/2·a·t²
Therefore, we have;
s = 15 × 15/4.9 - 1/2 × 4.9 × (15/4.9)² ≈ 22.959 m
However, the plane is 5 meters long, therefore, the object goes further than the top of the plane.
The Voyager 1 space probe was launched by NASA in 1977. It's now the most distant spacecraft from Earth, as it hurtles into space at over 60,000 km/h. It has run out of fuel, so it can't change its own motion.
One of your friends says, "If Voyager 1 doesn't collide with anything and is too far from anything to be affected by gravity, it will gradually slow down and stop."
I have to either agree or disagree with my friend, then i have to explain.
The statement, "The Voyager 1 space probe can't change its own motion" is correct and true. The Voyager 1 space probe was launched by NASA in 1977, and since then it has traveled over 14 billion miles away from Earth. It's the most distant spacecraft from Earth.
The Voyager 1 was designed to study the outer solar system and it sent valuable data back to Earth. But, now it has run out of fuel and cannot change its own motion as the thrusters that are responsible for keeping the spacecraft’s antenna pointed toward Earth have to be continuously fired to compensate for the small natural imbalances in its motion. Therefore, the statement is correct that Voyager 1 cannot change its own motion. It is still continuing its journey into space at a speed of over 60,000 km/h and is expected to keep traveling until it reaches other stars and the next galaxy beyond our Milky Way. So, I agree with the statement that the Voyager 1 space probe can't change its own motion.For such more question on motion
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Which of the following situations describes a non-contact force acting on an object?
I think its "a dropped penny sinks at the bottom of a pond". Because, non-contact force is a force that you don't touch, like gravity or weight, that falls but you didn't drop it on purpose nature did or gravity itself did.
which particles most likely will be dispositive first as a velocity of a stream carrying a mixture of particles decreases
As the velocity of a stream carrying a mixture of particles decreases, the heaviest particles will most likely be deposited first. This phenomenon is known as sedimentation.
The process of sedimentation separates particles of different sizes and densities from a mixture by allowing them to settle at different rates due to gravity. The heavier particles settle faster than lighter ones. Therefore, they are the first to be deposited.Sedimentation can occur naturally or artificially. For example, in a river, sedimentation can occur naturally due to changes in water flow and velocity. Artificial sedimentation can be used in water treatment plants to remove impurities from water
The heaviest particles will most likely be deposited first as the velocity of a stream carrying a mixture of particles decreases.Explanation: This is due to the process of sedimentation, which separates particles of different sizes and densities from a mixture by allowing them to settle at different rates due to gravity. The heavier particles settle faster than lighter ones, and hence they are the first to be deposited.
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Which of the following changes will increase current?
OA. Decreasing power
OB. Increasing volume
OC. Increasing resistance
OD. Increasing voltage
diffraction also occurs with sound waves. consider 1500-hz sound waves diffracted by a door that is 94 cm wide.
Diffraction is the bending of waves around an obstacle or through an opening. It not only occurs with light waves but also with sound waves.
For instance, when 1500-hz sound waves encounter a door that is 94 cm wide, they can diffract or bend around it to reach the other side.
The amount of diffraction that occurs depends on the size of the obstacle, the wavelength of the wave, and the distance between the source and the obstacle.
In this case, the wavelength of the 1500-hz sound wave is approximately 23 cm, which is smaller than the width of the door. Therefore, some of the sound waves will diffract around the door while others will be absorbed by it.
This effect can be observed in everyday situations, such as hearing someone's voice from the other side of a closed door or hearing music playing in another room.
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A vector a has components a x equals -5. 00 m in a y equals 9. 00 meters find the magnitude and the direction of the vector
A vector has two components: a magnitude and a direction. Magnitude is the length of the vector, and direction is the angle that the vector makes with the x-axis. We can use the Pythagorean theorem to find the magnitude of the vector a.Magnitude of vector a :
\(a = √(a_x² + a_y²)a_x = -5.00 ma_y = 9.00 m\)
Substituting the values in the formula, we get;
\(a = √((-5.00 m)² + (9.00 m)²)a = √(25.00 m² + 81.00 m²)a = √1066 m²a = 32.7 m\) (rounded to one decimal place)
Now, to find the direction of the vector, we can use trigonometry. The direction of the vector a is given by the angle that the vector makes with the positive x-axis. We can find this angle using the tangent function.
\(tan θ = a_y / a_xtan θ = (9.00 m) / (-5.00 m)θ = -60.3°\) (rounded to one decimal place)The angle is negative because it is measured clockwise from the positive x-axis. Therefore, the magnitude of the vector a is 32.7 m, and the direction of the vector is 60.3° clockwise from the positive x-axis.
To know more about Pythagorean theorem visit :
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