When the ball is at its peak possible position, it's velocity remains Zero. Unfortunately, this moment of zero velocity is hardly visible, since it occurs in a very short amount of time.
where is the ball t seconds later?For the first part, solve the equation you were given to find the time at which the height of the ball is 0. Sos(t) = -16t^2 - 64t + 800 = -16t^2 - 64t + 80
This is a standard quadratic equation that you can solve using the quadratic formula with a = -16, b = -64, and c = 80, so the roots are: 1 and -5.We can ignore the -5 root since that's what the situation would have looked like if we went back in time 5 seconds and launched the ball upwards from the ground. But since we're not doing time travel, the solution of interest is the 1. So the ball hits the ground one second after throwing it.The formula for distance under constant acceleration is d = 1/2 A T^2. That formula accounts for the -16t^2 term, so A is 32. So during that 1 second it takes for the ball to hit the ground, it will be accelerated 1 * 32 = 32 ft/sec. That is added to the initial velocity the ball was given. So at the moment it hits the ground it's going-64 ft/sec - 32 ft/sec = -96 ft/sec.
For the second problem, the key thing to note is "instantaneous rate of change". When you see that phrase you should immediately think "first derivative". So let's calculate the first derivative of the equation given,
S(r)=2πrh+2πr^2S'(r)=2πh+4πr
Now substitute the value 4 for r, giving
S'(4)=2πh+4π4 = 2πh+16π
And we have a problem. That value isn't one of the available options, so something is wrong. The problem is choice "b" takes into account the increase in surface area for the end caps on the cylinder, but it doesn't take into account the increase in surface area for the side of the cylinder which is what the 2πh term accounts for. Please show this to your teacher.
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A graph titled Position versus Time shows time in seconds on the x axis, numbered 0 to 5, and position in meters on the y axis, numbered 0 to 15. The graph is a straight line from the (0, 3) to (4, 15).
Based on the information presented in the graph, what is the velocity of the object?
Answer:
3 m/s
Explanation:
distance (rise) over time (run) gives speed, that is velocity
it can be found using the gradient (m) formula
m=(y2-y1)/(x2-x1)
m=(15-3)/(4-0) =12/4=3 m/s
Answer:
3 m/s
Explanation:
.....as the answer for your question is 3m/s ..
THANK YOU..
Discuss four errors made by the participants in the dialogue
The four errors are (1) The participants did not use proper grammar in dialogue. (2) not clarify their points or ask questions. (3)not use logical transitions between topics. (4) not use active listening skills.
1. The first participant speaks condescendingly to the second participant. This can seem disrespectful and make the conversation unkind.
2. The second participant interrupts the first participant. Any type of Interruption is impolite and can lead to the loss of communication.
3. The first participant speaks impolitely, that could offend the second participant.
4. The second participant does not pay attention to the words of the first participant, that may lead to misunderstandings and can also lead in breaks in communication.
These mistakes can lead to a breakdown in communication, create feelings of disrespect and discontent, and create a hostile environment. It is important to ensure that both interlocutors are attentive, respectful and polite in order to maintain effective communication.
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bow long does it take earth to rotate once on its axis
Answer:
23 hours, 56 minutes
a typical open cluster will dissolve in about the same amount of time as the time since
A typical open cluster will dissolve in about the same amount of time as the time since its formation. This is due to the gravitational interactions between its member stars and the surrounding environment, which can cause the cluster to gradually disperse over millions of years.
Factors such as the mass and size of the cluster, as well as its location within the galaxy, can also affect its dissolution rate. However, on average, most open clusters will have dissolved completely within a few hundred million years after their formation.
Open clusters are groups of stars that form together from the same molecular cloud and are loosely bound by gravity. Due to various factors such as gravitational interactions with other stars and the gravitational pull of the Milky Way, open clusters tend to dissolve over time.
The dissolution time of an open cluster depends on its initial mass and density, as well as the environment in which it is located. However, on average, a typical open cluster will dissolve in about the same amount of time as the time since its formation.
Based on observations, it is estimated that the average lifetime of an open cluster is around a few hundred million years, with some lasting up to a billion years or more. This means that if an open cluster formed around the same time as the Sun, roughly 4.6 billion years ago, it is likely to have already dissolved or be in the process of dissolution.
Overall, the dissolution of open clusters is a natural process in the evolution of galaxies, and studying their lifetimes can provide insights into the formation and evolution of stars and galaxies.
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scientific notation. jst 11a
Answer:
2 * 10^4
Explanation:
(3 * 10^4)(4 * 10^4) / (6 * 10^4)
= (12 * 10^8)/(6 * 10^4)
= 2 * 10^4
The muon is a subatomic particle with the same charge as an electron but with a mass that is 207 times greater: mμ=207me. Physicists think of muons as "heavy electrons." However, the muon is not a stable particle; it decays with a half-life of 1.5 μs into an electron plus two neutrinos. Muons from cosmic rays are sometimes "captured" by the nuclei of the atoms in a solid. A captured muon orbits this nucleus, like an electron, until it decays. Because the muon is often captured into an excited orbit (n>1), its presence can be detected by observing the photons emitted in transitions such as 2❝1 and 3❝1. Consider a muon captured by a carbon nucleus (Z=6). Because of its large mass, the muon orbits well inside the electron cloud and is not affected by the electrons. Thus the muon "sees" the full nuclear charge Ze and acts like the electron in a hydrogen-like ion.
What is the orbital radius of a muon in the n=1 ground state? Note that the mass of a muon differs from the mass of an electron.
The orbital radius of a muon in the n=1 ground state when captured by a carbon nucleus is approximately 4.26 × 10^(-13) meters.
To determine the orbital radius of a muon in the n=1 ground state when it is captured by a carbon nucleus (Z=6), we can use the formula for the Bohr radius of a hydrogen-like ion:
r = a0 * (me / mμ) * (1 / Z)
Where r is the orbital radius, a0 is the Bohr radius (approximately 5.29 × 10^(-11) meters), me is the mass of an electron, mμ is the mass of a muon, and Z is the atomic number of the nucleus (6 for carbon).
Given that the mass of a muon (mμ) is 207 times greater than the mass of an electron (me):
r = a0 * (1 / 207) * (1 / 6)
Now, plug in the value for a0:
r = (5.29 × 10^(-11) m) * (1 / 207) * (1 / 6)
Multiply the numbers:
r ≈ 4.26 × 10^(-13) meters
The orbital radius of a muon in the n=1 ground state when captured by a carbon nucleus is approximately 4.26 × 10^(-13) meters.
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The lensing of a distant quasar is produced by of a foreground galaxy.
Question 32 options:
the total mass (amount of matter)
the nucleus
an individual massive star
the collective effect of all the black holes
the magnetic field
The lensing of a distant quasar is produced by the total mass (amount of matter) of a foreground galaxy.
What's gravitational lensingGravitational lensing, where the galaxy's mass bends and magnifies the light from the quasar, allowing us to observe it more clearly.
Gravitational lensing occurs when a massive celestial body — such as a galaxy cluster — causes a sufficient curvature of spacetime for the path of light around it to be visibly bent, as if by a lens. The body causing the light to curve is accordingly called a gravitational lens.
According to Einstein’s general theory of relativity, time and space are fused together in a quantity known as spacetime. Within this theory, massive objects cause spacetime to curve, and gravity is simply the curvature of spacetime. As light travels through spacetime, the theory predicts that the path taken by the light will also be curved by an object’s mass.
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What advantages does a large diameter astronomical telescope have over a telescope of a smaller diameter?.
Larger diameter, capabilities of the better gathering of light, and better resolving power are those advantages that a large diameter astronomical telescope has over a telescope of a smaller diameter.
The larger the lens or mirror which is having the diameter or aperture, the telescope will then gather more light and will be at higher resolution as the viewer has the chance to see fine in detail it can. Larger scopes also have focal lengths of longer size, which means the magnifications will be greater and the sizes of images are possible with accessibility by both the eye as well as the camera.
A larger telescope mirror is a type that allows us to view the fainter objects farther into the region of space, therefore the larger one in round nature is better. The shape does not matter just as long as it can bring light to the focus point.
Large telescopes will be having several merits over their smaller counterparts, and the concerned resolution will be as how much in detail we are able to see a celestial object is the first priority. Generally, the resolution depends mainly on two things the stability of the atmosphere as well as the aperture present in your telescope. The user can only control any one of these factors.
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Diagram A shows two laser beams, one blue and one red, that are incident on a mirrored surface. Diagram B shows two laser beams, one blue and one red, that are incident on a transparent block of glass.
Which statement about the situation shown in these diagrams is CORRECT when light is refracted through the glass and reflected from the mirror?
A
The blue and red laser beams reflect at different angles, and they refract at different angles.
B
The blue and red laser beams reflect at the same angle, and they refract at the same angle.
C
The blue and red laser beams reflect at different angles, and they refract at the same angle.
D
The blue and red laser beams reflect at the same angle, and they refract at different angles.
Diagram A shows two laser beams, one blue and one red, that are incident on a mirrored surface. Diagram B shows two laser beams, one blue and one red, that are incident on a transparent block of glass then The blue and red laser beams reflect at the same angle, and they refract at different angles.
A laser emits a very focused beam of light that can be used in a variety of equipment and technologies. Light Amplification by Stimulated Emission of Radiation is what the letters in the term laser stand for. The word "laser" is an acronym for "Light Amplification by Stimulated Emission of Radiation." In a laser beam, the light waves are "coherent," which means they are all traveling at the same speed and wavelength. To do this, excited electrons are passed through an optical "gain medium," which could be a solid substance like glass or a gas.
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a wave of wavelength travels along a straight line between two points in space separated by distance l. a) find the phase difference in the wave at these two points.
The phase difference between the two points is
Δϕ = (2π/λ) * l
The phase difference (Δϕ) between two points in a wave can be calculated using the formula
Δϕ = (2π/λ) * Δx
Where
Δϕ is the phase difference in radians.
λ is the wavelength of the wave.
Δx is the distance between the two points.
In this case, the distance between the two points in space is given as l, and the wavelength of the wave is λ.
Therefore, the phase difference between the two points is
Δϕ = (2π/λ) * l
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how to prove the first linear motion
Answer:
Then solve for v as a function of t. This is the first equation of motion . It's written like a polynomial — a constant term (v0) followed by a first order term (at). Since the highest order is 1, it's more correct to call it a linear function.
Explanation:
Electricity flows from what to what
Answer:
electric current refers to electrons and protons flow in the opposite direction. current is flow electrons ,but current and electron flow in the opposite direction. current flows from positive to negative and electron flows from negative to positive.
Please select all answers that go with a parallel circuit
if the switch is open the bulbs will be off
if the switch is open the bulbs will be on
when one light goes out they all go out
when one light burns out the rest stay on
parallel circuit makes the light bulbs dimmer
parallel circuits allow the bulbs to maintain the brightness of a single circuit
Answer:
if the switch is open the bulbs will be on
when one light burns out the rest stay on
parallel circuit allow the bulbs to maintain the brightness of a since cricuit
When one light burns out the rest stay on in parallel circuit.
Parallel circuits allow the bulbs to maintain the brightness of a single circuit.
Hence, option (d) and (F) are correct answer.
What are series combination and parallel combination?It is referred to as a series combination when two or more resistors are connected end to end in a row. Any number of resistances connected in series have a combined resistance that is equal to the sum of the individual resistances.
It is referred to as a parallel combination when two or more resistances are coupled between the same two sites. The sum of the reciprocals of all the individual resistances is equal to the reciprocal of the combined resistance of a number of resistances connected in parallel.
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The volume of an irregular object can be measured by
a. multiplying the object’s length, width, and height.
b. multiplying the object’s density by its mass.
c. submerging the object in water in a graduated cylinder.
d. placing the object on a triple-beam balance.
You throw a ball straight down off the roof of a 47 m tall building with an initial velocity of -8m/s.
When does the ball hit the ground?
Answer:
t = 2.38 [s]
Explanation:
To solve this problem we must use the following equation of kinematics. We must clarify that both the acceleration and the initial velocity were taken as positive, since the velocity of the movement coincides with the direction of the acceleration.
\(x =x_{o} +v_{o} *t+(\frac{1}{2} )*a*t^{2}\)
where:
x - Xo = distance = 47 [m]
Vo = initial velocity = 8 [m/s]
a = gravity acceleration = 9.81 [m/s²]
t = time [s]
Now replacing these values in the equation:
47 = 8*t + 0.5*9.81*t²
47 = 8t + 4.905t²
47 = 4.905*t(1.63 + t)
9.58 = t*(1.63 + t) solving this equation (cuadratic)
we found that t = 2.38 [s]
Part ACharge q1 is distance r from a positive point charge Q. Charge q2=q1/3 is distance 2r from Q. What is the ratio U1/U2 of their potential energies due to their interactions with Q?Part BCharge q1 is distance s from the negative plate of a parallel-plate capacitor. Charge q2=q1/3 is distance 2s from the negative plate. What is the ratio U1/U2 of their potential energies?
The ratio of the potential energies U1/U2 of charges q1 and q2. The ratio of the potential energies U1/U2 of charges q1 and q2.
The ratio of the potential energies U1/U2 of charges q1 and q2 due to their interactions with point charge Q is equal to the ratio of the inverse squares of their respective distances from the charge Q: U1/U2 = (1/(r^2))/(1/(2r^2)) = 1/4.
The ratio of the potential energies U1/U2 of charges q1 and q2 due to their interactions with the negative plate of a parallel-plate capacitor is equal to the ratio of the inverse squares of their respective distances from the negative plate: U1/U2 = (1/(s^2))/(1/(2s^2)) = 1/4.
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What information is included in the general
profile for a serial killer/ criminal?
How do the 4 different types of serial killers
differ from each other?
Describe the typical childhood of a serial
criminal. What types of childhood trauma is
typically found in the background of serial
criminal?
What types of behavioral changes occur from pre-crime to crime spree to post-crime? Are there any warning signs that begin to committheir crimes?
A serial killer is one that goes on from one place to another killing people everywhere.
Who is a serial killer?The information about a serial killer that is documented are;
demographic information, such as age, sex, race, occupation, education level, etc.Behavior patterns include things like the modus operandi (MO), signatures, and criteria for choosing victims, among others.Psychopathy, emotional stability, intellect, and personality disorders are examples of personal traits.criminal history, including prior infractions, arrest records, and sentence.Information on a person's relationships, relationships, and other events are included in their social history.Learn more about a serial killer: https://brainly.com/question/29513340
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Beer producers and bread bakers depend on types of yeast to respirate anaerobically to make their products.
True
False
Answer:
True
Explanation:
Consider the 636 N weight held by two cables shown below. The left-hand cable had tension T and makes an angle of θ with the wall. The right-hand cable had tension 890 N and makes an angle of 26◦ with the ceiling.
What is the angle θ which the left-hand cable makes with respect to the wall?
The angle θ which the left-hand cable makes with respect to the wall is 17⁰.
What is resultant force on the cables?The resultant force on the cables is determined by resolving the forces into x and y components as shown below.
y-component of the weight;
Wy = -636 N
y-component of the tension in the right cable;
Ty = 890 x sin(26)
Ty = 390.15 N
x-component of the tension in the right cable;
Tx = 890 x cos(26)
Tx = 799.93 N
y-component of the tension in the left cable;
Ty = T sinθ
x-component of the tension in the left cable;
Tx = -T cosθ
Sum of the forces in y-direction;
∑F_y = 0
T sinθ - 636 + 390.15 = 0
T sinθ - 245.85 = 0
T sinθ = 245.85 -------- (1)
Sum of the forces in x-direction;
∑Fx = 0
-T cosθ + 799.93 = 0
T cosθ = 799.93 -------- (2)
Divide equation (1) by (2)
T sinθ / T cosθ = 245.85/799.93
tanθ = 0.307
θ = arc tan(0.307)
θ = 17.1⁰ ≈ 17⁰
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The currents are flowing in the direction
indicated by the arrows. A negative current
denotes flow opposite to the direction of the
arrow. Assume the batteries have zero internal resistance.
Image for The currents are flowing in the direction indicated by the arrows. A negative current denotes flow opposite to
B.
Find the current through the 22.7 Ohms resistor in the center of the circuit.
Answer in units of A.
The current through the 22.7 Ω resistor in the center of the circuit is 0.5 A.
How to find the current through the center of the circuit?
The current is flowing in the direction indicated by the arrows. A negative current denotes flow opposite to the direction of the arrow. Assume the batteries have zero internal resistance.
We can find the current through the 22.7 Ω resistor in the center of the circuit by using Kirchhoff's laws.
Let's consider the loop of ABCDA.
According to Kirchhoff's voltage law,
Total voltage in the loop = voltage across the 1st resistance + voltage across the 2nd resistance + voltage across the 3rd resistance - voltage across the 4th resistance.
VAB - IR₁ - IR₃ - IR₂
= VDC⇒ VAB - IR₁ - IR₃ - IR₂
= -VAB⇒ VAB = IR₁ + IR₃ + IR₂ + VAB
Again consider the loop of ABFEA
According to Kirchhoff's voltage law,
Total voltage in the loop = voltage across the 1st resistance + voltage across the 2nd resistance
VAB - IR₂ = 0⇒ VAB
= IR₂ From the above two equations,
IR₁ + IR₃ + IR₂ + VAB
= IR₂⇒ IR₁ + IR₃
= -VAB⇒ IR₁ + IR₃
= -IR₂
From the above equation,
IR₁ + IR₃ + IR₂ = 0⇒ IR₂ = -IR₁ - IR₃
Now, we can write the Kirchhoff's current law at node B,
Sum of currents entering the node B = Sum of currents leaving the node B
I₁ - I₃ = I₂I₁ = 1 AI₃ = 1.5 AI₂ = -0.5 AI₂
= -I₁ - I₃I₁ - I₃ = -0.5 AI₁ + I3
= 0.5 A
Apart from that,
I₁ - I₃
= I₂I₂
= -0.5 A
Therefore, the current through the 22.7 Ω resistor in the center of the circuit is 0.5 A.
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steam is accelerated in a steady-flow nozzle from a low velocity to a velocity of 210 m/s at a rate of 3.2 kg/s. if the temperature and pressure of the steam at the nozzle exit are 200 ºc and 600 kpa, what is the exit area of the nozzle?
The exit area of the nozzle is 0.000861 m² which is calculated using ideal gas equation.
What is an ideal gas?
Velocity = 280 m/s
Rate = 2.5 kg/s
Pressure = 2 MPa
Temperature = 400°C
Using equation of Ideal gas
PV= RT
V= RT/P
V= 0.0965 \(m^{3}\)/ kg
Using equation of continuity
(dm/dt) = \(A_{1}\)v/V
\(A_{1}\)= 0.000861 \(m^{2}\).
A theoretical gas known as an ideal gas is made up of several randomly moving point particles with no interparticle interactions. Because it abides by the ideal gas law, a condensed equation of state, and is amenable to statistical mechanics analysis, the ideal gas concept is helpful.
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a 2.0 kg ball is dropped from a height of 20 m onto a soft surface and rebounds to a height of 5.0 m . what is the magnitude of the impulse exerted on the ball by the floor?
Based on the data provided, the impulse of the floor on the ball is 59.4 Ns.
What is the impulse of the floor on the ball?Using the equation of motion to determine the velocity at the end of the fall
v^2 = u^2 + 2ghWhere v is velocity at the end of fall
u is initial velocity = 0
g is acceleration due to gravity = 9.81 m/s^2
h is height = 20
Taking downward velocity as negative and up as positivev^2 = 0 + 2 (9.81)(20)
v^2 = 392.4
v = - 19.8 m/s
The velocity, v after bouncing is calculated also:
u = 0
g = 9.81 m/s^2
h = 5.0 m
v^2 = 0 + 2(9.81)(5)
v^2 = 98.1
v = 9.904 m/s
Impulse = change in momentum Impulse = m(v- u)Impulse = 2.0 × (9.9 -(-19.8)
Impulse = 59.4 Ns
Therefore, the impulse of the floor on the ball is 59.4 Ns.
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A state in which the fluid outside an axon has a mostly positive charge and the fluid inside the axon has a mostly negative charge is called
The state in which the fluid outside an axon has a mostly positive charge and the fluid inside the axon has a mostly negative charge is called a resting potential.
A resting potential is a state in which the fluid outside an axon has a mostly positive charge, whereas the fluid inside the axon has a mostly negative charge. It's a type of electric potential that exists across the cell membrane when a neuron is not transmitting an impulse. A sodium-potassium pump maintains the resting potential of a neuron by actively transporting sodium ions out of the cell and potassium ions into the cell. Sodium ions are more abundant outside the neuron, whereas potassium ions are more abundant inside the neuron. As a result, when the pump expels more sodium ions than potassium ions into the extracellular fluid, there is a net loss of positive charges outside the cell, resulting in a negative charge inside the neuron's cell membrane. The resting potential plays a significant role in the transmission of impulses across a neuron. When the neuron is stimulated, it causes the resting potential to depolarize, or become more positive inside. The depolarization reaches a critical threshold that causes an action potential, which propagates down the axon and results in the release of neurotransmitters from the terminal end of the axon. Thus, the resting potential sets the stage for the initiation of an action potential in neurons.
The state in which the fluid outside an axon has a mostly positive charge and the fluid inside the axon has a mostly negative charge is called a resting potential. It is maintained by the sodium-potassium pump, which actively transports sodium ions out of the cell and potassium ions into the cell, resulting in a net loss of positive charges outside the cell. The resting potential depolarizes when the neuron is stimulated, leading to an action potential that propagates down the axon.
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a cable of uniform mass density hangs from the top of a building. at a certain point on the cable, the wave speed is 8.90 m/s. how far above the bottom of the cable is this point? type your answer here
The distance or height of that point A from the bottom of the cable is \(8.08\ m\). where the wave speed is 8.90 m/s.
To determine the distance above the bottom of the cable where the wave speed is \(8.90 m/s\), we need to consider the relationship between wave speed, tension, and mass density in a hanging cable.
The mass of the cable is \(m\), and the length of the cable is \(L\).
The linear mass density is given by:
\(\mu=m/L\)
At point, the speed of the wave speed is:
\(v=8.9\ m/s\)
The mass of point AB is:
\(m_{AB}= y*\mu\)
Tension at the point is:
\(T=m_{AB}*g\)
The mass density (μ) of the cable is constant throughout its length, but the tension (T) in the cable varies with the position along the cable.
The speed of the wave at A is:
\(v= \sqrt {T/ \mu}\\v^2=T/\mu\\v^2\mu=T\\v^2\mu=m_{AB}g\\v^2\mu=\mu_y*g\\y=v^2/g\\y=(8.9)^2/9.8\\y=8.08\ m\)
Therefore, the distance or height of that point A from the bottom of the cable is \(8.08\ m\).
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What is the maximum flow rate of water in a smooth pipe 8.0 cm diameter if the flow is to be laminar
Answer:
0.05 m/s
Explanation:
We start by finding the average velocity of water in the pipe. This is done by saying
R(e) = ρv(avg)d/μ
Where,
R(e) = Reynolds number, and that's 2000
ρ = Density of water, 1000 kg/m³
μ = Viscosity of water, 10^-3
d = diameter of pipe
v(avg) = average velocity
Since we're interested in average velocity, we make v(avg) the subject of formula. So that
V(avg) = R(e).μ/ρ.d
V(avg) = 2000 * 10^-3 / 1000 * 0.08
V(avg) = 2 / 80
V(avg) = 0.025 m/s
The maximum flow rate of water in the pipe usually is twice the average velocity, and as such
V(max) = 2 * V(avg)
V(max) = 2 * 0.025
V(max) = 0.05 m/s
What may also be called breakers? Crusher, Grappler, Hydraulic Hammer, Trencher
Two waves are traveling through a tube. Wave X has an amplitude of 1 cm, and wave Y has twice the amplitude of wave X. The energy of wave Y is
A.
four times that of wave X.
B.
two times that of wave X.
C.
one-fourth times that of wave X.
D.
half times that of wave X.
Answer:
it is A
Explanation:
i had the question
What will be the velocity of a 0.23 kg arrow having a potential energy of 61 J after it is shot from a bow?
Answer:
530.43m/s
Explanation:
Given data
Mass m = 0.23kg
PE= 61J
From the expression for potential energy
PE= mgh
after it was shot
PE=KE
KE= 1/2mv^2
So
PE= 1/2mv^2
substitute
61= 1/2*0.23*v^2
61=0.5*0.23*v^2
61=0.115v^2
divide both sides by 0.115
v= 61/0.115
v=530.43 m/s
Hence the velocity is 530.43m/s
which term describes a lens with a surface that curves outward like the exterior of a sphere?
Answer:
Convex lens
hope that helps you
A body moves with uniform velocity, what will be its acceleration.
Explanation:
zero.
when the speed (velocity) does not change, there is no acceleration (which means the measure about how much the speed or velocity changes).