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suppose you want a telescope that would allow you to see distinguishing features as small as 6.5 km on the moon some 384,000 km away. assume an average wavelength of 550 nm for the light received.
Answers
The diameter of the telescope's mirror that would allow us to see details as small as is 0.03899m.
θ=1.22λ/D
θ=x/d
x/d=1.22λ/D
D=1.22λd/x
=1.22*550*10⁻⁹*3.84*10⁸/6.5*10³
=0.03899m
Thus, the diameter of the telescope's mirror that would allow us to see details as small as is 0.03899
The diameter of a telescope's primary optical component, which can either be a lens or a mirror, known as the aperture, is considered to be the most crucial factor. Both the light-gathering capacity (how bright the picture looks) and the resolving power of a scope from mirror are determined by its aperture (how sharp the image appears).
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Describe how the
amplitude
of a wave is
related to the energy in a
wave. Support your answer
with details from the
animation.
Answers
The amplitude of a wave is directly related to the energy carried by the wave. This is because the amplitude of a wave is defined as the distance between the rest position of the wave and its highest or lowest point.
As the amplitude of a wave increases, the energy carried by the wave also increases .In the animation, we can see that as the amplitude of the wave increases, the height of the wave increases as well. This means that more energy is being transferred through the wave. Conversely, when the amplitude of the wave decreases, the height of the wave decreases and the energy carried by the wave decreases as well.
This relationship between amplitude and energy can be further illustrated by considering sound waves. A louder sound corresponds to a higher amplitude sound wave, which carries more energy. Similarly, a quieter sound corresponds to a lower amplitude sound wave, which carries less energy.
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A plane traveling to Europe takes 12 hours to fly 86000 km. What is the planes velocity
Answers
The velocity of the plane is approximately 7166.67 km/h.
The rate at which an item changes its location in a certain direction over a predetermined amount of time is referred to as velocity in the study of physics. Due to the fact that it is a vector quantity, it possesses both magnitude and direction. The direction of velocity describes whether an object is moving in a straight line or along a curved path, whereas the magnitude of velocity represents the object's speed.
To calculate the velocity of the plane, can use the formula:
Velocity = Distance / Time
Given:
Distance = 86000 km
Time = 12 hours
Putting the values, may get:
Velocity = 86000 km / 12 hours
To obtain the velocity in km/h, we divide the distance by the time:
Velocity = 7166.67 km/h
So, the velocity of the plane would be approximately 7166.67 km/h.
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The magnitude of the force between two point charges 1. 0 m apart is 9 x 10^9N. If the distance between them is doubled, what does the force become?
a. 0. 65 x 10-4N
b. 2. 25 x 10°N
c. 3. 75 x 10-6N
d. 1. 76 x 10°N
Answers
According to Coulomb's law, the force between two charges is given by: F = k * (q1 * q2) / r^2, where, F is the force between two chargesq1 and q2 are the charges, r is the distance between the two charges, k is Coulomb's constant k = 9 x 10^9 Nm^2/C^2.
As the distance between the charges is doubled, the new distance, r = 2m.
We know that F α 1/r^2.
When the distance is doubled, the force between them becomes F' = k * (q1 * q2) / (2r)^2= k * (q1 * q2) / 4r^2= F / 4.
Hence, the force between them becomes one-fourth of its original value.
Hence, the correct answer is an option (d) 1.76 × 10^0N.
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The process of a nucleus giving off radioactive particles to become more stable is called
Answers
Answer:
Radioactive Decay
Explanation:
a watermelon is balanced by a dog, a pumpkin, a flowerpot, and a baseball as shown below. Is the weight of the watermelon equal to the dog, pumpkin , flowepot, and baseball? why or why not?
Answers
Answer:
pumpkin
Explanation:
watermelon and pumpkins are close to shape and size
Suppose the albedo of a planet is measured to be 40 percent. This means that: 40 percent of the Sun's energy is absorbed. 40 percent of the Sun's energy is reflected. 60 percent of the Sun's energy is reflected. more energy is reflected than absorbed.
Answers
If the albedo of a planet is 40% then it means that 40% of the sun's energy is reflected by the planet.
Albedo of a planet is the amount of solar energy that is reflected by a planet of surface. This term is used in astronomy to describe the reflective properties of a planet, satellite, or asteroids. Venus planet has the highest albedo in our solar system, which is 0.7 as a ratio of the light strikes the surface of the planet to the light reflected by the planet. Venus reflect 70% of the sunlight.
Albedo can be measured using a pyranometer device or satellite imagery, which detects the solar radiation of shorter wavelength in the form of watts per square meter (W/sq m).
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The Great Pyramid is 146m high. How long is a ramp from the top of the pyramid to the ground that has a mechanical advantage of 4?
Please give equation.
Answers
To find the length of the ramp, we can use the equation for mechanical advantage (MA), which is:
MA = load / effort
The mechanical advantage of the ramp is 4, which means that for every 4 units of distance the load is moved, the effort required is moved 1 unit of distance. Therefore the effort is 4 times shorter than the load distance.
We know that the load distance is the height of the pyramid, which is 146m. So, we can use this information to find the effort distance.
Effort distance = Load distance / MA
Effort distance = 146m / 4 = 36.5m
So, the ramp would need to be 36.5m long in order to provide a mechanical advantage of 4.
a movable bin and its contents have a combined weight of 2.1 kn determine the shortest chain sling acb that can be used to lift the loaded bin if the tension in the chain is not to exceed 5 kn. the shortest chain sling acb that can be used is m.
Answers
The shortest chain sling ACB for a movable bin is 1.228 m.
The question is not complete. A similar question is in the attachment. Use the image in a similar question for this problem. Look at the picture. In the system works
Tension in the chain T₁ and T₂The weight of a movable bin = wTriangle ABC is an isosceles triangle. If ∠ CAB = ∠ CBA = θ.
T₁ = T₂ ≤ 5 kNT₁ = T₂ = 5,000 N AC = BCw = 2.1 kN = 2,100 N
At point C, the direction of the weight is upward.The forces T₁ and T₂ can be described with respect to the y-axes and become T₁y and T₂y. Look at triangle ACO
sin θ = T₁/T₁y
T₁y = T₁ sin θ Look at triangle BCO
sin θ = T₂/T₂y
T₂y = T₂ sin θ
According to Newton's first law, in the y-axis
∑ F = 0
w - T₁y - T₂y = 0
T₁y + T₂y = 2,100
T₁ sin θ + T₂ sin θ = 2,100
5,000 sin θ + 5,000 sin θ = 2,100
10,000 sin θ = 2,100
sin θ = 2,100 ÷ 10,000
sin θ = 0.21
θ = sin⁻¹ (0.21)
θ = 12.12°
Look at AOC
AO = OB = AB ÷ 2 = 1.2 ÷ 2 = 0.6 m cos θ = AO ÷ACcos 12.12° = 0.6 ÷ AC
0.978 = 0.6 ÷ AC
AC = 0.6 ÷ 0.978
AC = 0.614 mACB = AC + BC
ACB = 0.614 + 0.614
ACB = 1.228 m
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true or false, the gastrocnemius is also known as the calf muscle.
Answers
Answer:
It's true
Explanation:
Have a great day:)
(Newton's Law of Cooling): The mathematical formulation of Newton's empirical law of cooling/warming of an object is given by the linear first-order differential equation
dt
dT
=k(T−T
s
), where k is a constant of proportionality, T(t) is the temperature of the object at any time t≥0, and T
s
is the surrounding environmental temeperature, that is, the temperature of the medium around the object. (i). Assuming that T
s
is constant, find the temeperature of the object as a function of time if T(0)=T
0
. (ii). Then what is the temepretauer of the object after 5 minutes?
Answers
Newton's Law of Cooling is described by the first-order linear differential equation dt/dT = k(T - Ts), where T(t) is the temperature of the object at time t, Ts is the surrounding environmental temperature, and k is the constant of proportionality.
The temperature of an object, governed by Newton's Law of Cooling
(i) To find the temperature of the object as a function of time, we first solve the differential equation dt/dT = k(T - Ts). This is a separable differential equation, and the solution can be obtained by rearranging and integrating:
dt/dT = k(T - Ts)
dt = k(T - Ts) dT
∫ dt = ∫ k(T - Ts) dT
t = k * ∫ (T - Ts) dT
t = k * (T^2/2 - Ts*T) + C
Now, we apply the initial condition T(0) = T0. At t=0, the temperature of the object is T0:
T(0) = T0
k * (\(T0^2\)/2 - Ts*T0) + C = T0
C = T0 - k * (\(T0^2\)/2 - Ts*T0)
C = T0 - k * (\(T0^2\)- 2 * Ts * T0) / 2
C = T0 - k * (\(T0^2\) - 2 * Ts * T0) / 2
So, the equation becomes:
t = k * (\(T^2\)/2 - Ts*T) + (T0 - k * (\(T0^2\)- 2 * Ts * T0) / 2)
(ii) Now, we can find the temperature of the object after 5 minutes (t = 5 minutes). We'll use the initial condition T(0) = T0 and the formula obtained in part (i):
t = 5 minutes = 5/60 hours = 1/12 hours
T(t) = Ts + (T0 - Ts) * exp(-kt)
T(1/12) = Ts + (T0 - Ts) * exp(-k * (1/12))
This equation gives us the temperature of the object after 5 minutes, considering the given initial temperature T0 and the surrounding environmental temperature Ts.
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Which energy change is caused by an endothermic chemical reaction?
A. An increase in temperature
B. Absorption of thermal energy
C. Release of light
D. Production of thermal energy
Answers
The energy change caused by an endothermic chemical reaction is the absorption of thermal energy. So, option B.
What is meant by endothermic reaction ?Endothermic reactions are defined as, those reactions in which the reactants take in heat energy from the environment to create products.
Here,
The endothermic reactions lower the temperature of their surrounding area, thereby creating a cooling effect.
When bonds in the reactants are broken, more energy is absorbed than is released when new bonds are generated in the products. This is known as an endothermic reaction.
A drop in the temperature of the reaction mixture is a characteristic of endothermic reactions.
In endothermic reactions, the enthalpy of the products of the reaction is greater than that of the reactants. Energy is absorbed from the surroundings.
Hence,
The energy change caused by an endothermic chemical reaction is the absorption of thermal energy.
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Una bola de 60 Kg se hace descender por medio de un cable, con una aceleración hacia abajo de 4 m/s2 . ¿Cuál es la tensión en el cable?
Answers
Answer:
240 N
Explanation:
La fuerza de la tensión del cable es la masa por la aceleración (F=ma).
F = (60)(4) = 240 N
4 Suggest four ways in which participating in physical activities can build healthy relationship? 5.Show in two ways the influebces of values on the choices of goals you set as your life goal❤
Answers
Answer:
Increases levels of well-being neurotransmittersImproves fitnessImproves mental healthReduces the risk of developing diseasesExplanation:
Performing physical activities helps to build a healthy relationship with yourself, in the sense that physical activity promotes health at all levels. Health is a set of physical, mental and social well-being, so physical activity reaches all these levels and increases the quality of life for a person as a whole.
There are several types of physical activities that can be performed and you can choose the one that best fits your preferences and routine. A walk for example can be done in any safe place and at any time and it already helps in improving physical conditioning, in receiving serotonin and endorphins, in reducing blood pressure and protecting the heart and in improving mental health.
So the ideal is for each person to set their own goals in relation to their health and seek to achieve them, either to have a better quality of life, to socialize more with people, to prevent diseases, etc.
Physical exercise helps build relationship by:
Reducing one's stress and good level of mental health. One can be able handle anxiety and less mental health problem.What are Exercise?This is known to be any physical activities such as walking, running, etc., that is often done so as to keep the body fit.
It is very important when as it helps one to maintain a good balance of mental health. As a person moves their body, there is the release of endorphins that functions to make us feel good and helps handle the effects of stress and anxiety. The more a person exercise, the less mental health cases and more happier relationships.
Note that Values are the drive force of your actions and they push or motivate as you set your life goals. They help to eliminate any obstacle in term of foreign ideas that are against one's value and it keeps one's focus on the goal.
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5. The temperature of air in a foundry increases when molten metals cool and solidify. Suppose 4.5 x 10^7 J energy is added to the surrounding air by the solidifying metal. The air's temperature increases by 55°C and the air has a specific heat capacity of 1.0 × 10 J/kg °C. What is the mass of the heated air?
Answers
The mass of the heated air is 2475000 kg.
What is specific heat capacity?The heat capacity of a sample of a substance is equal to the mass of the sample divided by the specific heat capacity of the substance (symbol c) in thermodynamics.
Informally, it is the quantity of heat that must be added to one unit of a substance's mass in order to raise its temperature by one unit.
The specific heat capacity of air = 1.0 × 10³ J/kg °C.
Hence, the mass of the heated air is =
( 4.5 x 10⁷ × 55) ÷ ( 1.0 × 10³ ) kg
= 2475000 kg.
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a 2.0 μfμf capacitor is discharged, starting at tt = 0ss. the displacement current through the plates is idisp=(10a)exp(−t/2.3μs)idisp=(10a)exp(−t/2.3μs).
Answers
The current flowing through the circuit at any given time t is a decaying exponential function of time, with a maximum initial value of -(A/ε0)(10 A), which is determined by the initial value of the displacement current.
In electromagnetism, displacement current is the electric current that appears in a region of space where there are no physical currents but where there is a changing electric field. It is given by the equation:
idisp = ε0(dΦE/dt)
where ε0 is the permittivity of free space, ΦE is the electric flux through the surface, and dΦE/dt is the rate of change of electric flux.
In the case of a capacitor that is discharged, the electric field between the plates of the capacitor is changing as the charge on the plates decreases. This changing electric field creates a displacement current in the space between the plates, even though there is no physical current flowing. The displacement current in this case is given by the equation:
idisp = ε0(dΦE/dt) = ε0(dQ/dt)/A
where Q is the charge on the plates, A is the area of the plates, and dQ/dt is the rate of change of charge.
Using the capacitance equation C = Q/V, we can express the rate of change of charge as:
dQ/dt = -i(t)
where i(t) is the current flowing through the circuit at time t.
Substituting this into the expression for displacement current, we get:
idisp = ε0(-i(t))/A
Using the given displacement current idisp=(10a)exp(−t/2.3μs) and the capacitance C = 2.0 μF, we can find the current flowing through the circuit at any given time t using the expression:
idisp = ε0(-i(t))/A
i(t) = -(A/ε0)idisp
i(t) = -(A/ε0)(10 A)exp(-t/2.3 μs)
where A is the area of the plates of the capacitor.
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How would you describe your appetite over the past couple of weeks? Have your eating habits altered in any way?
Answers
Answer:
no im in a rehab program so we eat the sam shi every day
Explanation:
brainlest?
Explanation:
During lockdown, I ate LOADS OF JUNK FOOD. TRUST ME!!
I gained 14 kg of weight and became 68 kg
just due to junk food.I am 13 btw and at that time I was 5 feet 4 so definitely fat. all those pizzas and burgers and all.then I realised that I have gained weight. I have to REDUCE MY WEIGHT. I am quite determined on what I say. it took me 3 months or so and I finally got back to my original weight. How? just by going for a stroll everyday, eating healthy and constantly working out. eating less is not the solution,eating less calories is the solution.Also, by eating healthy food,I grew taller. I am 5 feet 6 now. So yes, definitely it helps put alot and keep eating healthy food and you will definitely be healthy.
Thank You.
why does fiberglass insulation used in walls of houses often layered with shiny aluminum foil on one side
Answers
Answer:
Foil insulation can prevent radiant heat loss all year round. In summer, it can prevent heat from entering by reflecting sunlight. In winter, it can reflect heat back inside a room, keeping it warmer.
A single tube-pass heat exchanger is to be designed to heat water by condensing steam in the shell. The water is to pass through the smooth horizontal tubes in turbulent flow, and the steam is to be condensed dropwise in the shell. The water flow rate, the initial and final water temperatures, the condensation temperature of the steam, and the available tube-side pressure drop (neglecting entrance and exit losses) are all specified. In order to determine the optimum exchanger design, it is desirable to know how the total required area of the exchanger varies with the tube diameter selected. Assuming that the water flow remains turbulent and that the thermal resistance of the tube wall and the steam-condensate film is negligible, determine the effect of tube diameter on the total area required in the exchanger.
Answers
The total required area of the heat exchanger decreases with increasing tube diameter.
When designing a single tube-pass heat exchanger to heat water by condensing steam in the shell, the total required area of the exchanger is influenced by the tube diameter selected. In this scenario, the water flows through smooth horizontal tubes in a turbulent flow while the steam is condensed dropwise in the shell.
The tube diameter plays a significant role in determining the total required area of the exchanger. As the tube diameter increases, the cross-sectional area for water flow also increases. This results in a higher flow area for the water, reducing its velocity. With reduced velocity, the water spends more time in contact with the tube wall, leading to a greater heat transfer rate.
As the heat transfer rate increases, the overall heat transfer efficiency improves, and consequently, the required area of the exchanger decreases. This is because larger tube diameters provide a larger heat transfer surface area, allowing for more efficient heat exchange between the water and the steam.
The effect of tube diameter on the total required area in a single tube-pass heat exchanger can be explained by considering the fluid dynamics and heat transfer processes involved. The increase in tube diameter allows for a larger cross-sectional area, which leads to a decrease in water velocity. This reduced velocity enhances the contact time between the water and the tube wall, facilitating better heat transfer.
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a.
To improve feelings about a poor test result, a student should
Beg the teacher for a second chance at the c. Ask their parents for assistance in persuading
test
the teacher to change a grade
b. Ask for an opportunity to earn extra creditd. All of these
Please select the best answer from the choices provided
A
B
ОООО
С
D
Answers
Answer:
Well, their are two answers in their. It would be Ask their Parent for assistance in persuading and Ask for an opportunity to earn extra credit:)
Explanation:
To improve feelings about a poor test result, a student should ask for an opportunity to earn extra credits. Hence, option D is correct.
How to handle disappointment at result?Remember that you are so much more valuable than a letter on a piece of paper. Your attitude, personality, and experience are things that future employers, coworkers, teachers, friends, and family are interested in. Even while practicing excellent self-care is always important, having a program in place will help you deal with any anxiety you may be experiencing in the future.
Start with the fundamentals, like eating healthily, Getting your five a day is a fantastic place to start Since it provides your body and brain with all the nutrition they require, and it can help you deal with any cortisol increases (stress). Additionally, ensure you get at least eight hours of sleep each night and consume six to eight glasses of water each.
To improve feelings about a poor test result, a student should ask for an opportunity to earn extra credits. Hence, option D is correct.
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True or False
1)All forces cause a change in an object’s speed and direction.
Answers
Answer:
True
Explanation:
Answer and Explanation:
True I believe bc if you put a certain amount of force on an object it'll move and depending on where you place the force on the object it'll move in that direction. How much force and how much weight the object has will determine the speed...
State two units bigger than kilogram and how are they related to kilogram
Answers
Answer:
quintal and metric tone.
Explanation:
1 quintal= 100kg
1 metric =1000kg
quintal measures mass of cars, trucks etc, but metric measures bigger things like cargo ships
hope it helps
Two parallel plates of area 7.34 x 10^-4 m^2 have 5.83 x 10^-8 C of charge placed on them. A 6.62 x 10^-6 C charge q1 is placed between the plates. What is the magnitude of the electric force on q1? Hint: How is force related to the field? (Unit = N)
Answers
Answer:
* if the two plates have the same charge sign F_net = 0
*if one plate is positive and the other is negative F_net = 59.4 N
Explanation:
The electric field created by a parallel plate is
E = \(\frac { \sigma }{2 \epsilon_o }\)
where sigma is the charge density
σ = Q / A
we substitute
E = \(\frac{Q}{A \ 2 \epsilon_o }\)
E = \(\frac{ 5.83 \ 10^{-8} }{7.34 \ 10^{-4}\ 2 \ 8.5 \ 10^{-12} }\)
E = 4.487 10⁶ N / C
the electric force is
F = E / q
in this force it is a vector, so if the charges are of the same sign they repel and if they are of the opposite sign they attract. In this case, the test load is between the two plates that have the same load sign, so the forces are in the opposite direction.
* if the two plates have the same charge sign
F_net = F₁ - F₂
F_net = q (E₁ -E₂)
since the electric field does not depend on the distance
E₁ = E₂
in consecuense
F_net = 0
In a more interesting case
*if one plate is positive and the other is negative
F_net = F₁ + F₂
F_net = q (E₁ + E₂) = 2 q E₁
F_net = 2 6.62 10⁻⁶ 4.487 10⁶
F_net = 59.4 N
net force goes from positive to negative plate
Answer:
59.4 N
Explanation:
acellus
a mixture containing 0.769 mol he(g), 0.305 mol ne(g), and 0.115 mol ar(g) is confined in a 10.00-l vessel at 25 ∘c. part a calculate the partial pressure of he in the mixture.'
Answers
A mixture containing 0.769 mol he(g), 0.305 mol ne(g), and 0.115 mol ar(g) is confined in a 10.00-l vessel at 25 ∘c. The partial pressure of He in the mixture is 1.806 atm.
The total number of moles of gas in the mixture is
n(total) = n(He) + n(Ne) + n(Ar) = 0.769 mol + 0.305 mol + 0.115 mol = 1.189 mol
Using the ideal gas law, the pressure of the gas mixture is given by
PV = nRT
Where P is the pressure, V is the volume, n is the total number of moles of gas, R is the ideal gas constant, and T is the temperature.
R = 0.08206 L⋅atm/K⋅mol (the units must be consistent)
T = 25°C + 273.15 = 298.15 K
P = nRT/V = (0.769 mol / 1.189 mol) × (0.08206 L⋅atm/K⋅mol) × (298.15 K) / (10.00 L) = 1.806 atm
Therefore, the partial pressure of He in the mixture is 1.806 atm.
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an 80.5 kg astronaut is working on the engines of his ship, which is drifting through space with a constant velocity. the astronaut, wishing to get a better view of the universe, pushes against the ship and much later finds himself 29.9 m behind the ship. without a thruster, the only way to return to the ship is to throw his 0.501 kg wrench directly away from the ship. if he throws the wrench with a speed of 20.2 m/s relative to the ship, how long does it take the astronaut to reach the ship?
Answers
If he throws the wrench with a speed of 20.2 m/s relative to the ship, 1.49 seconds does it take the astronaut to reach the ship.
The astronaut and ship are initially moving together with a constant velocity, so their momentum is conserved. When the astronaut pushes against the ship, he gains momentum in one direction, causing the ship to gain momentum in the opposite direction. Since the total momentum of the system is conserved, the ship's momentum must be equal and opposite to the astronaut's momentum.
To find the astronaut's momentum, we can use the formula:
momentum = Mass × Velocity
The astronaut's initial momentum is:
momentum = 80.5 kg x 0 m/s = 0 kg m/s
momentum = -(-80.5v) = 80.5v kg m/s
Since the astronaut and ship have equal and opposite momenta, we can set their magnitudes equal:
momentum of astronaut = momentum of ship
80.5v kg m/s = 0.501 kg x 20.2 m/s
v = 0.100 m/s
So the astronaut's velocity relative to the ship after pushing off is -0.100 m/s (negative because it's in the opposite direction of the ship's initial velocity).
distance= Velocity× time
The distance the astronaut travels away from the ship is 29.9 m. To return to the ship, he throws his wrench in the opposite direction with a velocity of 20.2 m/s relative to the ship. This means his initial velocity relative to the ship is:
velocity = -0.100 m/s + 20.2 m/s = 20.1 m/s
So the equation we need to solve is:
29.9 m = 20.1 m/s x time
time = 1.49 s
Therefore, it takes the astronaut 1.49 seconds to return to the ship.
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With gyms being so expensive Anthony is finding it hard to stay in shape. Anthony buys the stiffest exercise band that he can find( k 4,000 N/m). Anthony stretches one of them 1.3 m, how much work did he perform? Hint: Stretching an exercise band is like compressing a springbecause it stores energy/work.
a) -3400J
b)2700J
c)-2700J
d)3400J
Answers
Anthony performed -3,400 J of work when he stretched the exercise band 1.3 m.
When an exercise band is stretched, it behaves like a spring and stores potential energy, which is the energy associated with the deformation or stretching of an object. The formula to calculate the potential energy stored in a spring-like system is given by:
Potential Energy = \((\frac{1}{2} ) * k * x^2\)
Where:
k is the spring constant, given as 4,000 N/m.
x is the displacement or stretch of the exercise band, given as 1.3 m.
Plugging in the values, we get:
Potential Energy = \((\frac{1}{2} ) * 4000 * (1.3)^2\)
\(= (\frac{1}{2} ) * 4000 * 1.69\)
= 3400 J.
Therefore, Anthony performed 3,400 J of work when stretching the exercise band. The correct answer is (a) -3400J.
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A small dense ball with mass is thrown with initial velocity at time from a location we choose to call the origin. Air resistance is negligible.
Answers
(a) Velocity is zero (b) the time is 0.918 sec (c) the time is 1.836 sec (d) the distance is 14.688 m (e) the angle in degree is 0 degree.
a) When the ball reaches its maximum height, its velocity is entirely in the vertical direction (y-axis) and has no horizontal component (x-axis or z-axis). The velocity vector at this point is <0, vy, 0>, where vy is the vertical component of velocity.
b) To find t when the ball reaches its maximum height, we can set the vertical component of velocity vy = 0, and use the equation of motion for vertical motion:
vy = v0y - gt
where v0y = 9m/s is the initial vertical velocity, g = 9.8 m/s^2 is the acceleration due to gravity, and t is the time since the ball was thrown.
0 = 9 - 9.8t
t = 9/9.8 = 0.918 s
c) The time t when the ball's height y returns to zero can be found by setting y = 0 in the equation of motion for vertical motion:
y = v0y x t - (1/2) x g x t^2
0 = 9t - 4.9t^2
4.9t^2 = 9t
t = 9/4.9 = 1.836 s
d) At the time calculated in part (c), when the ball's height y returns to zero, the range of the trajectory (x) can be found by using the equation of motion for horizontal motion:
x = v0x x t
x = 8 x 1.836 = 14.688 m
e) The angle in degrees with respect to the positive x-axis of the velocity at the time calculated in part (c) is found by using the horizontal component of the velocity vector.
The horizontal component of the velocity vector is vx = 8 m/s.
The angle of the velocity vector with respect to the positive x-axis is found by using the arctangent function.
angle = a tan(vy/vx) = a tan(0/8) = 0 degrees.
It's important to note that the range is the maximum distance that the ball travels horizontally, and it is reached at the time when the ball's height y returns to zero.
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Question - A small dense ball with mass 0.9 kg is thrown with initial velocity <8,9,0>m/s at time =0 from a location we choose to call the origin (<0,0,0>m). Air resistance is negligible.
(a) When the ball reaches its maximum height, what is its velocity?
(b) When the ball reaches its maximum height, what is time ?
(c) At a later time the ball's height has returned to zero, which means that the arithmetic average value of from =0 to this time is zero. At this instant, what is the time ?
(d) At the time calculated in part (c), when the ball's height returns to zero, what is distance? (This is called the range of the trajectory.)
(e) What is the angle in degrees with respect to the positive x-axis of the velocity at the time calculated in part (c)? Present your answer as a positive value less than 360.
What are the two primary factors that control what type of magma erupts from a volcano and what type of volcano it will create?
Answers
Answer:
answers are located on the picture attached to this answer
Explanation:
You and your friend see a ball rolling across the floor to the right. Your friend says
that because it is moving to the right, it must have a net force on it pushing it to
the right. Do you agree with her? Why or why not?
Your answer
Answers
Answer:
unforturnitly
Explanation:
step unstepable
The grounded conductor of a branch circuit is permitted to serve as the equipment grounding conductor for a replacement range or cooktop when all the following conditions are met, except for ___________.a. the grounded conductor is not smaller than no. 10 copper or no. 8 aluminumb. the individual branch circuit is existingc. the grounded conductor is insulated, unless it is part of Type SE cabled. the branch circuit uses listed wire connectorsUnlocked badge showing an astronaut’s boot touching down on the moonSee what the community says and unlock a badge.
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The grounded conductor of a branch circuit is permitted to serve as the equipment grounding conductor for a replacement range or cooktop when all the following conditions are met, except for ___________,
The correct answer is option d. "the branch circuit uses listed wire connectors."
The National Electric Code (NEC) permits the grounded conductor of a branch circuit to serve as the equipment grounding conductor for a replacement range or cooktop when all the following conditions are met:
a. The grounded conductor is not smaller than no. 10 copper or no. 8 aluminum.
b. The individual branch circuit is existing.
c. The grounded conductor is insulated unless it is part of Type SE cable.
However, the NEC also requires the branch circuit to use an equipment grounding conductor that is either a wire or a grounding conductor contained within the cable that is listed for grounding.
Therefore, the branch circuit must use listed wire connectors in order for the grounded conductor of a branch circuit to serve as the equipment grounding conductor for a replacement range or cooktop.
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