With the aid of sunshine, the skin produces vitamin D, which aids in the bones' ability to absorb calcium.
Increased intestinal absorption of calcium, magnesium, and phosphate is one of vitamin D's many biological effects. It is also one of a class of fat-soluble secosteroids. Vitamins D (cholecalciferol) and D2 are the most significant substances in this category in people (ergocalciferol).
The primary natural source of the vitamin is cholecalciferol production, which occurs in the lower layers of the epidermis of the skin as a result of a chemical process that is reliant on sun exposure (specifically UVB radiation).
The diet and supplements both contain cholecalciferol and ergocalciferol. Vitamin D is only present in considerable concentrations in a select few meals, such the meat of fatty fish. Cow's milk, plant-based milk replacements, and a lot of breakfast cereals are all vitamin D-fortified in the United States and other nations.
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Which kinds of objects emit visible light in the electromagnetic spectrum?
answer :
Visible: Our eyes detect visible light. Fireflies, light bulbs, and stars all emit visible light. Ultraviolet: Ultraviolet radiation is emitted by the Sun and are the reason skin tans and burns. "Hot" objects in space emit UV radiation as well.
Which objects emit electromagnetic waves?
All objects emit electromagnetic radiation according to their temperature. Colder objects emit waves with very low frequency (such as radio or microwaves), while hot objects emit visible light or even ultraviolet and higher frequencies.
A(n) _____ is used to convert mechanical energy into electrical energy.
Answer:
take any of them
Explanation:
mechanisms that convert mechanical energy to electrical energy are turbine steam engines, internal combustion engines, and wind turbines (Electric Generator
People under going physical therapy after an injury often find it helpful to perform exercise in water? Why?
(No links please)
1. What is the potential energy of a 1.6 kg book that is placed on a shelf that is
2.5meters high?
1
Answer:
yes
Explanation:
3. The driver of a blue car is moving at a speed of 35 mph. A red car passes him at a speed of
49 mph. From the frame of reference of the red car, how would you describe the motion of
the blue car?
The cable lifting an elevator is wrapped around a 1. 2-m -diameter cylinder that is turned by the elevator's motor. The elevator is moving upward at a speed of 2. 3 m/s. It then slows to a stop, while the cylinder turns one complete revolution
This is the same speed as the elevator's initial speed, so the elevator and the cylinder should be in sync again after one complete revolution.
When the elevator is moving upward at a speed of 2.3 m/s, the cable is unwinding from the cylinder at a rate that is equal to the elevator's speed. Since the diameter of the cylinder is 1.2 m, its circumference is:
C = πd = 3.7699 m
Therefore, the length of cable that unwinds from the cylinder in one second is:
L = 2.3 m/s × 1 s = 2.3
Dividing this by the circumference of the cylinder gives us the number of complete revolutions that the cylinder makes in one second:
N = L / C = 2.3 m / 3.7699 m = 0.6097 revolutions/s
If the cylinder turns one complete revolution, it means that N = 1. Therefore, the time it takes for the cylinder to complete one revolution is:
t = 1 / N = 1 / 0.6097 revolutions/s = 1.639 sDuring this time, the elevator has slowed down and come to a stop. The speed of the cylinder during this time can be calculated using the formula:
v = ωr
where ω is the angular velocity of the cylinder, and r is its radius. Since the diameter of the cylinder is 1.2 m, its radius is 0.6 m. One complete revolution corresponds to an angle of 2π radians, so the angular velocity of the cylinder is:
ω = 2π / t = 2π / 1.639 s = 3.834 rad/s
Therefore, the speed of the cylinder during the time it takes to make one complete revolution is:
v = ωr = 3.834 rad/s × 0.6 m = 2.3004 m/s
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A 70.0 kg person leaps from a bridge in with a bungee cord attached and falls 120 meters. If the bungee cord stretches 2.5 meters during the stopping process, what’s its force constant (k)?
The force constant of the bungee cord when a person of mass 70 kg leaps on a bridge with it is 219.52 N/m.
What is force constant?The force constant or spring constant is a measure of the stiffness of a spring. It is the force per unit deformation of the spring. Its SI unit is N/m.
To calculate the force constant of the bungee cord, we use the formula below.
Formula:
K = 2mgh/e²............. Equation 1Where:
K = Force contant of the bungee cordm = Mass of the persong = Acceleration due to gravityh = Height at which the person falle = extensionFrom the question,
Given:
m = 70 kgg = 9.8 m/s²h = 120 me = 2.5 mSubstitute these values into equation 1
K = (2×70×9.8/2.5²)K = 219.52 N/mHence, the force constant of the bungee cord is 219.52 N/m.
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11. In the original Ghostbusters, when asked by Dr. Peter Venkman what would happen if they crossed the streams from their proton packs, Dr. Egon Spengler responded, "It would be bad." The same thing could reasonably be said about _________ Specifically, the reason for this is due to violation of the assumption of _____________
The same thing could reasonably be said about multicollinearity. Specifically, the reason for this is due to the violation of the assumption of independent predictors.
Let us understand what these terms mean:
MulticollinearityIn statistical analysis, multicollinearity is the high correlation among predictors in a regression model. It is problematic because of its adverse effects on the model, including making it difficult to determine the effect of an independent variable, coefficients becoming insensitive to small changes in the model, and reducing the reliability of the model.
Independent PredictorsIn regression analysis, independent predictors are those variables that contribute to the prediction of the dependent variable or outcome, and their inclusion in the model improves the accuracy of the prediction of the model.
In a regression model, it is an assumption that predictors are independent, which means that the predictors have little to no correlation with each other. If this assumption is violated, it is known as multicollinearity.
Therefore, the same thing could reasonably be said about multicollinearity. Specifically, the reason for this is due to the violation of the assumption of independent predictors.
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. What is the mass of an object if it is pulled by a 5 Newton force and it accelerates at a rate of 20 m/s/s?
Please help ASAP
F = ma
so, we can write it as;
= 5 = m × 20
= 5/20 = m
= 1/4 = m
= 0.25 kg = m
Johnny often hits his brother even though his brother does not do anything to the tag and eyes assume Johnny aggression is more like most likely due to a combination of
an astronaut of mass 60 kg is on a space walk when suddenly someone throws a 3 kg book to her with speed 4m/s. she catches the book in an inelastic collision. find: a. the velocity of the astronaut book system after the collision. b. the initial kinetic energy of the system c. the final kinetic energy of the system d. the impulse exerted by the book on the astronaut..
There are 4 questions here that need to be solved.
a. The velocity of the astronaut & book system after the collision (using conservation of momentum) is 0.19 m/s
b. The initial kinetic energy of the system is 24J
c. The final kinetic energy of the system is 1.14J
d. The impulse exerted by the book on the astronaut is 11.43 kg.m/s
What is kinetic energy?In physics, the kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during acceleration, the body maintains this kinetic energy unless its speed changes.
Now, let's answer the question.
a.
m1 book = 3kg
m2 astronaut = 60kg
vi1 = 4m/s
vi2 = 0m/s
Vf = final speed after collision
Now, let calculate using conservation of momentum formula
ρi = ρf
m1 * vi1 + m2 * v2 = (m1 + m2) * vf
3 * 4 + 60 * 0 = (3 + 60) * vf
12 = 63vf
vf = 0.19 m/s (rounded)
So, the velocity of the astronaut-book system after the collision is 0.19 m/s.
b. Initial kinetic energy will be calculated using kinetic energy formula
KEi = 1/2 * m1 * Vi1^2
= 1/2 * 3 * 4^2
= 24J
So, the initial kinetic energy of the system is 24J
c. Final kinetic energy will be calculated as follows
KEf = 1/2 * (m1 + m2) * vf^2
= 1/2 * (3 + 60) * 0.19^2
= 1.137J
So, the final kinetic energy of the system is 1.137J
d. To calculate the impulse, it is basically the change in momentum of the book, calculated as follows
I (impulse) = m1 * (Vi1 - Vf)
= 3 * (4-0.19)
= 11.43 Kg.m/s
Therefore, the impulse exerted by the book on the astronaut is 11.43 Kg.m/s
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Please help I'm so lost.
Erbium-165 has a half-life of 10.4 hours. If you start with 1,000 grams of erbium-165, how much time will it take to have 125 grams of erbium-165 left in the sample?
A. 41.6 hours
B. 31.2 hours
C. 10.4 hours
D. 20.8 hours
If you start with 1,000 grams of erbium-165, the time it will take to have 125 grams of erbium-165 left in the sample is 20.8 hours.
option D is the correct answer.
What is half life?Half life is the time that it takes for half of the original value of some amount of a radioactive element to decay.
If you start with 1,000 grams of erbium-165, the time it will take to have 125 grams of erbium-165 left in the sample is calculated as follows;
1,000 ---------- 0 time
500 ----------- 10.4 hours
125 ------------- 20.8 hours
Thus, from the calculation done above, we can see that If you start with 1,000 grams of erbium-165, the time it will take to have 125 grams of erbium-165 left in the sample is 20.8 hours.
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Express the answer to 6.51 x 107
divided by7.61 x 10
in scientific notation
Answer:
Below
Explanation:
\(6.51\times 10^7 \div 7.61 \times 10\\\\\frac{6.51\times \:10^7}{7.61\times \:10}\\\\\mathrm{Multiply\:the\:numbers:}\:7.61\times \:10=76.1\\=\frac{10^7\times \:6.51}{76.1}\\\\6.51\times \:10^7=65100000\\\\=\frac{65100000}{76.1}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{65100000}{76.1}=855453.35085\dots \\=855453.35085\\\\= 855.4533085 \times 10^3\)
A 500 kg satellite experiences a gravitational force of 3000 N, while moving in a circular orbit around the earth. Determine the speed of the satellite.
Answer:
Speed of the satellite V = 6.991 × 10³ m/s
Explanation:
Given:
Force F = 3,000N
Mass of satellite m = 500 kg
Mass of earth M = 5.97 × 10²⁴
Gravitational force G = 6.67 × 10⁻¹¹
Find:
Speed of the satellite.
Computation:
Radius r = √[GMm / F]
Radius r = √[(6.67 × 10⁻¹¹ )(5.97 × 10²⁴)(500) / (3,000)
Radius r = 8.146 × 10⁶ m
Speed of the satellite V = √rF / m
Speed of the satellite V = √(8.146 × 10⁶)(3,000) / 500
Speed of the satellite V = 6.991 × 10³ m/s
2. Is it possible to break a Scientific Law?
which energy change corresponds to the first ionization energy of potassium?
The first ionization energy of potassium corresponds to the energy required to remove one electron from a neutral atom of potassium, resulting in a positively charged potassium ion.
The first ionization energy of an element is the energy required to remove one electron from a neutral atom of that element in the gas phase. For potassium (K), the first ionization energy refers to the energy needed to remove the outermost electron from a neutral potassium atom to form a potassium ion with a positive charge (K+). This process can be represented by the following equation:
\(\[\text{K} (g) \rightarrow \text{K}^+ (g) + \text{e}^-\]\)
The first ionization energy is an endothermic process because energy is required to overcome the electrostatic attraction between the negatively charged electron and the positively charged nucleus. The first ionization energy of potassium is relatively low compared to some other elements, as potassium has a single valence electron in its outermost energy level (electron shell), which is farther away from the nucleus and thus less strongly attracted. As a result, it takes less energy to remove the outermost electron from a potassium atom compared to elements with more valence electrons or a higher effective nuclear charge.
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13. Explain whether the following answers are reasonable or not. Check the magnitude, the units, and the
direction. You DO NOT have to solve the problems yourself.
a) A car speeds up as it enters the freeway. It accelerates at 5.4 m/s? What was the car's final speed?
ANSWER: 6.3 m/s forward
I
How much work is done on a pumpkin with a force of 24 newtons when you lift it 15 meters? *
Answer:
I'm not that busy solving but I'll tell you the formula that Force x distance is equal to work done
The work is done on a pumpkin when we lift it by 15 m with 24 N is 360 J
What is Work ?Work done is the amount energy gained (loosed) in bringing the body from initial position to final position. It is denoted by W and its SI unit is joule(J).
i.e. Work(W) is force(F) times displacement(s).
W=F× s
When a body is displaced with 1 newton of force by 1 m, then we can say that work has been done on the body by 1 joule.
Writing for it's dimension,
W=F× s
Force has dimension [L¹ M¹ T²]
Displacement has dimension [L¹]
multiplying both the dimensions Force and Displacement
we get,
dimension of Work [L² M¹ T²]
According to newton's second law of motion,
Force(F) is mass(M) times acceleration(a).
i.e. F=ma
Given,
Force = 24 N
Displacement = 15 m
W=F.s= 24*15 = 360 J
Hence work done on pumpkin is 360 J
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Question 8 of 10
What is the equivalent resistance of the circuit?
120.0 V
OA. 40.0 2
Β. 200.0 Ω
C. 20.02
D. 80.0 2
60.002
20.0 Ω
The equivalent resistance of the circuit will be option (D) 80.0 Ω
According to Ohm's law, the voltage across two places is precisely proportional to the current flowing through a conductor between them.
The obstruction to current flow in an electrical circuit is measured by resistance. The Greek letter omega (Ω) represents the unit of measurement for resistance, known as ohms. Georg Simon Ohm is the name given to ohms.
Since in the given figure the resistance are in series so there equivalent resistance will be sum of the two resistance. If they were in parellal connection then we will add reciprocal of their resistance.
Let R1 = 60 Ω and R2 = 20 Ω. So their equivalent resistance will be as follow:
R = R1 + R2
R = 60 + 20
R = 80 Ω
Hence the equivalent resistance of the circuit will be 80 Ω
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In induction, what charge does a neutral substance gain compared to the object brought near it?
Explanation:
In induction, what charge does a neutral substance gain compared to the object brought near it?
The neutral object gains the same type of charge as the object that touched it because the electrons move from one object to the other (Figure 10.16). Induction is the movement of electrons within a substance caused by a nearby charged object, without direct contact between the substance and the object.
The charge gained by the neutral substance, gained compared to the object brought near it, had the same kind of charge that was present when it touched it.
What is induction?The alteration of the distribution of electric charge on a substance is caused by the effect of induction. A negatively charged object brought close to an electrically neutral object causes a positive charge on the near side and a negative charge on the far side of the neutral object as a result of the electric force between charged particles that make up materials.
This very little polarization, or separation of charge, lessens the electric field inside the dielectric.
Because the electrons go from one thing into the next, the neutral object acquires the same kind of charge that was present when it touched it. Lacking physical touch, induction is the movement of electrons within a substance as a result of a nearby charged item.
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A physics student stands on a cliff overlooking a lake and decides to throw a softball to her friends in the water below. She throws the softball with a velocity of 23.5 m/s at an angle of 39.5∘ above the horizontal. When the softball leaves her hand, it is 11.5 m above the water. How far does the softball travel horizontally before it hits the water? Neglect any effects of air resistance when calculating the answer.
Answer:
66.86m
Explanation:
Velocity of ball thrown, u = 23.5 m/s
Initial height of the ball above the water, H = 11.5 m
Angle of projection, θ = 39.5°
Vertical components of veloclty = usinθ
Horizontal components of veloclty = ucosθ
The soft ball hits the water after time 't'
Considering the second equation of motion
S = ut + 1/2at^2........ 1
But since the ball went through motion under gravity ( free fall ) rather than linear motion, then equation 1 can be rewritten as:
H = ut +/- 1/2gt^2
H = - 11.5m
U = usinθ
θ = 39.5°
a = -g = -9.8m/s^2
- 11.5m = 23.5(sin39.5°)t + 1/2(-9.8)t^2
-11.5m = 23.5(0.6360)t - 4.9t^2
-11.5m = 14.946t - 4.9t^2
4.9t^2 -14.946t-11.5m = 0
Since the ball drifted horizontally
D = (Ucosθ)t
Where θ = 39.5°
U = 23.5m/s t=
Alternatively,
horizontal component of the velocity is 23.5 cos 39.5º = 18.1331 m/s
now how long does it take the ball to raise to a peak and fall to the water.
vertical component of velocity = 23.5 sin 39.5º = 14.947m/s
time to reach peak t = v/g = 11.947/9.8 = 1.5252 sec
peak reached above cliff top is
h = ½gt² = ½(9.8)(1.5252)²
= ½×22.797
= 11.3985m
now the ball has to fall 11.3985+ 11.5 = 22.8985m
time to fall from that height is
t = √(2h/g) = √(2• 22.8986/9.8) = 2.1617 sec
add up the two times to get time it is in the air, 2.1617 + 1.5252 = 3.6869
now haw far does the ball travel horizontally in that time
d = vt = 18.1331 ×3.6869= 66.856m
= 66.86m
a vacuum gauge connected to a chamber reads 36 kpa at a location where the atmospheric pressure is 100 kpa. determine the absolute pressure in the chamber in kpa.
The chamber has an absolute pressure of 64 kPa.
Absolute pressure is the force that exists in a space when there is no matter present, or when there is a perfect vacuum. This absolute zero serves as the baseline for measurements in absolute pressure. The measurement of barometric pressure is the greatest illustration of an absolute referenced pressure.
By deducting the ambient pressure from the vacuum gauge measurement, the absolute pressure inside the chamber can be calculated:
Atmospheric pressure minus the vacuum gauge reading gives the chamber's absolute pressure.
absolute pressure in the chamber is
=>100 kPa - 36 kPa
=> 64kPa
Therefore, 64 kPa is the chamber's absolute pressure.
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two mercury years are the same length as three mercury sidereal days. (True or False)
( True ) Mercury is the closest planet to the sun and has a unique orbit that takes about 88 Earth days to complete one revolution around the sun. Due to its proximity to the sun, the planet's rotation is also influenced by the sun's gravitational pull, causing it to have a slower rotation rate compared to its revolution.
A sidereal day is the time it takes for a planet to complete one rotation on its axis, relative to the fixed stars. For Mercury, one sidereal day is approximately 58.6 Earth days long.
Therefore, if two Mercury years (which is equal to two revolutions around the sun) are the same length as three sidereal days, it means that each Mercury year is approximately 1.5 sidereal days long, which is true. This can be calculated as follows:
2 Mercury years = 2 x 88 Earth days = 176 Earth days
3 sidereal days = 3 x 58.6 Earth days = 175.8 Earth days
Hence, the statement is true.
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Complete the following Water enters a 200L tank at a rate of 32g/s and is withdrawn at a rate of 10g/s. The tank is initially half full. Write a mass balance for this process and solve the balance equation to determine how long it will take the tank to drain completely in minutes. The density of water conversion is 1000g/1L an Engineering Connect
It will take the time to drain completely in minutes when The density of water conversion is 1000g/1L is 75.76 minutes.
To write a mass balance for this process, we need to consider the inflow of water into the tank and the outflow of water from the tank. The mass balance equation for this process can be written as follows:
dM/dt = Q_in - Q_out
where dM/dt is the rate of change of the mass of water in the tank over time, Q_in is the inflow of water into the tank, and Q_out is the outflow of water from the tank.
In this case, the inflow of water into the tank is 32 g/s, and the outflow of water from the tank is 10 g/s. The initial mass of water in the tank is 200L * 1000 g/L = 200,000 g, and the tank is half full, so the initial mass of water in the tank is 200,000 g/2 = 100,000 g.
Substituting these values into the mass balance equation, we get:
dM/dt = 32 g/s - 10 g/s = 22 g/s
To determine how long it will take the tank to drain completely, we can solve the mass balance equation for t. The mass of water in the tank at any time t is given by:
M(t) = M(0) + dM/dt * t
where M(0) is the initial mass of water in the tank and t is the time in seconds.
Substituting the values for M(0) and dM/dt, we get:
M(t) = 100,000 g + 22 g/s * t
To drain the tank completely, the mass of water in the tank must be zero, so we can set M(t) = 0 and solve for t:
0 = 100,000 g + 22 g/s * t
t = -100,000 g / 22 g/s
t = -4545.45 s
Since there are 60 seconds in a minute, the time it will take the tank to drain completely in minutes is t/60 = -4545.45 s / 60 s/min = 75.76 minutes.
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What is a group on the periodic table?
Answer:
A group is a column (vertical, up and down)
Explanation:
A group is vertical and a period is horizontal!
Hope i helped you
Have a great day!
Answer:
A group is a row that goes up and down. (Its vertical)
Explanation:
I do A P E X.
If you come to an intersection and your view to the side is blocked, you should:
Slow down and look both ways.
Maintain your speed and look both ways.
Stop, then inch forward until you can see clearly in both directions.
When approaching an intersection where your view to the side is blocked, it is important to slow down and look both ways.
Maintaining your speed can be dangerous as there may be a vehicle or pedestrian coming from the blocked side. Stopping and inching forward until you can see clearly in both directions is also not recommended as it can block traffic and create a hazardous situation.
Slowing down gives you more time to react to any unexpected obstacles or dangers that may be present. It also allows you to assess the situation and determine the best course of action. It is important to always be aware of your surroundings when driving and take precautions to ensure your safety and the safety of others on the road.
In summary, when approaching an intersection with a blocked view, slow down and look both ways before proceeding. This simple action can prevent accidents and save lives.
When approaching an intersection with a blocked view, it is crucial to prioritize safety. To do this, you should first slow down as you approach the intersection. Then, come to a complete stop and carefully inch forward until you can see clearly in both directions. This cautious approach allows you to maintain full control of your vehicle, while also giving you the opportunity to observe any oncoming traffic or pedestrians. By stopping and inching forward, you significantly reduce the risk of accidents at the intersection.
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What is the wavelength?
What rock was found on Mars?
Most of the rocks we have studied at Mars landing sites are basaltic in composition. The exceptions to this are the carbonate and high silica rocks at the Spirit landing site and Heat Shield rock at the Opportunity landing site, which is an iron meteorite.
What are rocks ?According to geologists, a rock is a naturally occurring substance made up of fused-together solid crystals of various minerals. It's possible that the minerals originated independently of one another.
A rock is an unbroken mass of geological components. Geological materials can be isolated mineral crystals, inorganic non-mineral substances like glass, fragments of other rocks, and even fossils.
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Convert this decimal into its fractional
form simplified completely.
0.350
Answer:
7/20
Explanation:
0.35 as a fraction =35/100
35/100 can b divided by 5 so =7/20
0.350 simplified as a fraction is 7/20
Answer:
7/20
Explanation:
Rita has two small containers, one holding a liquid and one holding a gas. Rita transfers the substances to two larger containers. Compare the behavior of the atoms in the liquid and in the gas once they are moved to the larger containers
Answer: liquids take the shape of the container they are in, but have definite volume. like liquids the shape of a gas changes with the container. unlike liquids the volume of a gas changes depending on the container it is in
Explanation:
Answer:
liquids flow freely, they take the shape of the container they are in, but have a definite volume. Like liquids, the shape of a gas changes with the container. This is because the atoms in a gas move rapidly and freely to fill any available space. Unlike liquids, the volume of a gas changes depending on the container it
Explanation