Answer:
The answer is 0.019232211646643. We assume you are converting between moles Chromium and gram. You can view more details on each measurement unit: molecular weight of Chromium or grams The molecular formula for Chromium is Cr. The SI base unit for amount of substance is the mole. 1 mole is equal to 1 moles Chromium, or 51.9961 grams. Note that rounding errors may occur, so always check the results. Use this page to learn how to convert between moles Chromium and gram. Type in your own numbers in the form to convert the units!
Answer:
0.019232211646643
Explanation:
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Match the following vocabulary terms with their correct definition.
Respiratory System 1. Made up of your heart.
Cardiorespiratory Endurance 2. Used to describe good cardiorespiratory function.
Maximal Oxygen Uptake 3. Bad Cholesterol
LDL 4. The ability to exercise your entire body for a long period of time without stopping.
Cardiovascular System 5. Carries blood filled with waste products from the muscle cells back to the heart.
Cholesterol 6. Made up of your lungs.
Artery 7. Carries blood from your heart to another part of your body
Vein 8. Good Cholesterol
Aerobic Capacity 9. The best assessment to measure the fitness of the cardiovascular and respiratory systems.
HDL 10. A waxy, fat like substance found in meat, dairy, and egg yolks.
The correct matching of the terms is as follows:
Cardiovascular SystemMaximal Oxygen Uptake LDLCardiorespiratory EnduranceVein Respiratory SystemArteryHDLAerobic CapacityCholesterolWhat is the correct matching of the given terms?The correct matching to the given terms depends on the definition of the terms.
The correct matching of the terms is as follows:
Cardiovascular System - Made up of your heart.Maximal Oxygen Uptake - Used to describe good cardiorespiratory function.LDL - Bad CholesterolCardiorespiratory Endurance - The ability to exercise your entire body for a long period of time without stopping.Vein - Carries blood filled with waste products from the muscle cells back to the heart.Respiratory System - Made up of your lungs.Artery - Carries blood from your heart to another part of your bodyHDL - Good CholesterolAerobic Capacity - The best assessment to measure the fitness of the cardiovascular and respiratory systems.Cholesterol - A waxy, fat like substance found in meat, dairy, and egg yolks.In conclusion, respiratory function is measured by means of aerobic capacity.
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1.Under normal atmospheric pressure what temperature does:
i.Ice turn to water?
ii.water turn to steam?
2.In which order do the following take place during water purification?
a)chlorination b)screening c)filtration d)sedimentation
b.Which of these processes ensures that the water contains no harmful microorganisms
Answer:
1.i)heat
ii.)heat
2.a.)b,c,d,a
b.)a.chlorination
Answer:
B
Explanation:
B
What is the name of the kind of stretch that involves stretching as far as you can and then holding for 10-30 seconds
Question 2 options:
PNF
ballistic
dynamic
static
Answer:
Static stretching.
Explanation:
It is static stretching because it is a form of stretching which u can do actively for a period of time and you hold position for about 30 to 60 seconds which allow the muscles and connective tissues to lengthen. It is done after work out with out movement in order to loosen up muscles so as to gain flexibility.
calculate the electric field acting on a proton so that proton remains stationary in a space a)2.04*10^-2 b)1.02*10^-7
Answer:
No electric field will exist.
Explanation:
Given the following:
In other to for the proton to remain stationary in space, the electric field acting on the proton will be 0 or no electric field will exist. From the formulae ;
F = qE ; where q = charge of the particle
E = electric field intensity
The electric field force = F
At a stationary position in space, the electric field intensity = 0
F = qE = q * 0 = 0.
Also according to Heisinberg, measuring the momentum and position of a quantum object becomes more and more uncertain when measured simultaneously.
Here, one of position or momentum is know, measuring the electric field becomes very uncertain.
Centripetal force is
A. provided by some other force, like gravity or friction.
B. directed along the direction of motion.
C. necessary to make objects move in a straight line.
D. a fundamental force, like gravity or electric force.
Another force, such as gravitation or friction, provides the centripetal force. This energy is directed toward the center of the circular path that an object is moving along.
The centripetal force is required to keep an object moving in a circular path because it continually changes the direction of the object's velocity vector.
According to Newton's first law of motion, without a centripetal force, an object would continue to travel in a straight line tangent to the circular path. As a result, response A is accurate.
The centripetal force operates on an item moving in a circular path and is directed toward the center of the circle. It is necessary to maintain the object moving in a circular path rather than a straight line. The magnitude of centripetal force is determined by the object's mass, speed, and radius of the circular route.
The centripetal force is caused by the object's inertia, which causes it to move in a straight path. When an object moves in a circular path, the direction of its velocity and acceleration shift continuously. This acceleration is known as centripetal acceleration because it is oriented toward the center of the circle.
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Which of the four listed units would not be appropriate for describing a rotational acceleration. Or are they all appropriate units of rotational acceleration? Explain.
1) rad/s
2) rev/s^2,
3) rev/m^2
4) degrees/s^2?
Units 1 ("rad/s"), 2 ("rev/s^2"), and 4 ("degrees/s^2") are appropriate for describing rotational acceleration. However, unit 3 ("rev/m^2") is not suitable as it combines angular displacement with area and does not represent rotational acceleration.
Out of the four listed units, the third unit, "rev/m^2," would not be appropriate for describing rotational acceleration.
1) "rad/s" (radians per second) is an appropriate unit of rotational acceleration. Radians are a standard unit for measuring angles, and when divided by time, it represents the rate of change of angular velocity or rotational acceleration.
2) "rev/s^2" (revolutions per second squared) is also an appropriate unit of rotational acceleration. It represents the rate of change of angular velocity in terms of revolutions per second squared.
4) "degrees/s^2" (degrees per second squared) is another valid unit of rotational acceleration. Although radians are generally preferred over degrees in scientific calculations, degrees can still be used to express rotational acceleration.
However, the third unit, "rev/m^2" (revolutions per square meter), is not appropriate for describing rotational acceleration. It does not represent a rate of change of angular velocity or rotational acceleration. Instead, it combines a unit of angular displacement (revolutions) with a unit of area (square meter), which is unrelated to rotational acceleration.
In summary, the first three units ("rad/s," "rev/s^2," and "degrees/s^2") are appropriate for describing rotational acceleration, while the fourth unit ("rev/m^2") is not.
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Một dây dẫn bằng nicorom dài 30m, tiết diện 0,3mm2 được mắc vào hiệu điện thế 220v . tính cường độ dòng điện chạy qua dây dẫn
Answer: it is A hope that helps
Explanation:
If a vehicle is traveling at constant velocity and then comes to a sudden stop, has it undergone negative
acceleration or positive acceleration? Explain your answer.
Answer:
Negative.
Explanation:
Negative acceleration implies that a vector is present while the vehicle slows down its speed (over time, because of the vector), while deceleration just kinda means its slowing down.
A spring with a cart at its end vibrates at frequency 5.5 Hz.
A: Determine the period of vibration.
B: Determine the frequency if the cart's mass is doubled while the spring constant remains unchanged.
C: Determine the frequency if the spring constant doubles while the cart's mass remains the same.
The period of vibration A) is 0.182 seconds. B) If the cart's mass the frequency will be 3.88 Hz. C) If the spring constant doubles while the cart's mass remains the same, the frequency will be 7.78 Hz.
What is vibration?
Vibration refers to the rapid back-and-forth or oscillatory motion of an object or a system around a reference point or equilibrium position. It involves the periodic movement of an object or system between two extreme positions or states.
A) The period of vibration is the reciprocal of the frequency, so the period T is given by T = 1/f.
Substituting the given frequency f = 5.5 Hz, we find T = 1/5.5 = 0.182 seconds.
B) The frequency of vibration is inversely proportional to the square root of the mass of the cart. If the mass is doubled, the frequency will decrease. Using the relationship f' = f√(m/m'), where f' is the new frequency, m is the original mass, and m' is the doubled mass,
we find f' = 5.5 Hz √(1/2) = 3.88 Hz.
C) The frequency of vibration is directly proportional to the square root of the spring constant. If the spring constant doubles, the frequency will increase.
Using the relationship f' = f√(k'/k), where f' is the new frequency, k is the original spring constant, and k' is the doubled spring constant, we find f' = 5.5 Hz √(2/1) = 7.78 Hz.
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Find the maximum velocity possible for the person on the swing.
if someone could explain with work that would be very much appreciated since I wasn't there when this was discussed in class.
Answer:
The maximum possible speed is 4.85 m/s.
Explanation:
The Principle Of Conservation Of Mechanical Energy
In the absence of friction, the total mechanical energy is conserved. It means that :
\(E_m=U+K\) is constant, being U the potential energy and K the kinetic energy
U=mgh
Where m is the mass of the object, g is the gravitational acceleration and h is the height from a fixed reference.
\(\displaystyle K=\frac{mv^2}{2}\)
Where v is the speed.
When the person is at a maximum height of 2 meters, the speed is 0. Thus the mechanical energy is made only of potential energy.
Let's fix the reference for the height to the point where the person is at minimum height (1 m from the ground level). The maximum height with respect to this reference is h=2.2 m - 1 m = 1.2 m.
The potential energy is:
U = m*9.8*1.2
U = 11.76m
When the person is at the minimum (zero) height, the mechanical energy is made only of kinetic energy. Since the mechanical energy is conserved, then:
\(\displaystyle \frac{mv^2}{2}=11.76m\)
Multiplying by 2 and simplifying by m:
\(v^2=2*11.76=23.52\)
Solving for v:
\(v=\sqrt{23.52}=4.85\)
\(\boxed{v=4.85}\)
The maximum possible speed is 4.85 m/s.
heathers uncle has HIV/Aids .after visiting ,heathers uncle kisses her good bye on the cheek. Should heather and her uncle be concerned about HIV transmission ?
Answer:
no
Explanation:
HIV transmits only during fluid interaction, only if she Heather had an cut exposing the inner skin then HIV can be transmitted
On a sunny summer day, why does a white car with a light-colored interior stay cooler than a black car with a dark-colored interior?
Solar radiation reflects off the lighter colours, away from the car, thus keeping the car cool
Solar radiation is absorbed into the lighter colours, keeping the car cool
Solar radiation is absorbed into the darker colours, keeping the car cool
Solar radiation reflects off the darker colours, away from the car, thus keeping the car cool
Answer: Solar radiation reflects off the lighter colours, away from the car, thus keeping the car cool
Explanation: This is because lighter colors reflect a good amount of radiation while darker colors absorb it. Just like, Antarctica hasn't completely melted because it reflects a lot of the heat that is acting upon it. Or, you notice that you get hotter when you wear a black shirt opposed to a white one.
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Answer:
4.2 is the answer
Explanation
The image formed in a plane mirror is an equal distance behind the mirror as the object in front of it.
Step 1: the equation to this problem would be: 8.4/2
Step 2: 8.4 ÷ 2 = 4.2
Hope you could understand.
If you have any query, feel free to ask.
If the initial velocity of an object is upward in the positive direction, what must the sign of the acceleration due to gravity be in a calculation?
Therefore, the direction of motion is positive for upward motion if an object is travelling vertically up. Since gravity accelerates downhill, it is assumed that this acceleration is negative.
Depending on the sign convention you desire to adhere to, the sign of the acceleration caused by gravity (g) might be either positive or negative. G will be positive if you decide to make the downward direction positive and the upward direction negative (an often-used convention). The thing is either standing still or descending. The initial velocity of an object is zero meters per second if it is dropped from a height rather than being hurled.
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A 3.1 kg object moving at 5.9 m/s in the positive direction of an x axis has a one-dimensional elastic collision with an object of mass M, initially at rest. After the collision the object of mass M has a velocity of 3.9 m/s in the positive direction of the x axis. What is mass M?
The mass of the second object is 6.2 kg.
The initial momentum of the system is:
\(p1 = m1 * v1 = (3.1 kg) * (5.9 m/s) = 18.29 kg m/s\)
The final momentum of the system is:
\(p2 = m1 * v1' + m2 * v2'\)
Since momentum is conserved, we can set p1 = p2:
\(m1 * v1 = m1 * v1' + m2 * v2'\)
We can solve for v1' by isolating it on one side of the equation:
\(v1' = (m1 * v1 - m2 * v2') / m1\)
Now we can use the conservation of kinetic energy to solve for m2. The initial kinetic energy of the system is:
\(KE1 = (1/2) * m1 * v1^2\)
The final kinetic energy of the system is:
\(KE2 = (1/2) * m1 * v1'^2 + (1/2) * m2 * v2'^2\)
Since the collision is elastic, the kinetic energy is conserved, so KE1 = KE2:
\((1/2) * m1 * v1^2 = (1/2) * m1 * v1'^2 + (1/2) * m2 * v2'^2\)
Substituting in the expression for v1' that we found earlier, we get:
\((1/2) * m1 * v1^2 = (1/2) * m1 * [(m1 * v1 - m2 * v2') / m1]^2 + (1/2) * m2 * v2'^2\)
Simplifying, we get:
\(m2 = (m1 * (v1 - v2')) / (v2' - v1)\)
Plugging in the values we know, we get:
\(m2 = (3.1 kg * (5.9 m/s - 3.9 m/s)) / (3.9 m/s - 5.9 m/s) = 6.2 kg\)
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Suppose a weight of 1 kg is attached to an oscillating spring with friction constant b=7 and stiffness constant k=6. Suppose the external forces on the weight are: F ext
(t)=−6te −3t
+e −3t
. y ′′
+7y ′
+6y=−6te −3t
+e −3t
a) Show y(t)=te −3t
is a possible position function for this weight. y ′1
+7y ′
+6y=−6tc −3t
+e −3t
r 2
+7r+6=0
(r+a)(r+1)
e −6t
e −t
y=1e −4t
+1e −t
y ′
=−61)e −4t
+Ae t
y ′
=−609e −4t
+e −+
(6,6e −4t
)+Me −t
b) Find a general equation for all possible position functions. y=Ae −6t
+AC 2
=−6+e 3t
+e −3t
(10 points) c) Find the exact motion equation for this weight if its initial position is y(0)=3, and its initial velocity is v(0)=y ′
(0)=
a) y(t) = te⁻³ᵗ is a possible position function.
b) General equation: y(t) = C₁e^(-2t) + C₂e^(-3t) + t(e^(-3t))(At + B).
c) Exact motion equation: y(t) = (23/5)e^(-2t) - (8/5)e^(-3t) + t(e^(-3t))(At + B), with initial conditions y(0) = 3 and v(0) = -7.
a) To show that y(t) = te⁻³ᵗ is a possible position function, we substitute it into the differential equation:
y(t) = te⁻³ᵗ
y'(t) = e⁻³ᵗ - 3te⁻³ᵗ
y''(t) = -6e⁻³ᵗ + 9te⁻³ᵗ
Substituting these expressions into the differential equation, we have:
-6e⁻³ᵗ + 9te⁻³ᵗ + 7(e⁻³ᵗ - 3te⁻³ᵗ) + 6(te⁻³ᵗ) = -6te⁻³ᵗ - e³ᵗ
Simplifying this equation, we find that both sides are equal, thus confirming that y(t) = te⁻³ᵗ is a possible position function.
b) The general equation for all possible position functions can be written as:
y(t) = C₁e^(-2t) + C₂e^(-3t) + t(e^(-3t))(At + B)
c) Given the initial conditions y(0) = 3 and y'(0) = v(0) = -7, we substitute these values into the general equation and solve for the constants:
3 = C₁ + C₂
-7 = -2C₁ - 3C₂
Solving these equations, we find C₁ = 23/5 and C₂ = -8/5.
The exact motion equation for the weight is:
y(t) = (23/5)e⁻²ᵗ - (8/5)e⁻³ᵗ + t(e⁻³ᵗ)(At + B)
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Suppose a weight of 1 kg is attached to an oscillating spring with friction constant b = 7 and stiffness constant k = 6. Suppose the external forces on the weight are: Fₑₓₜ(t) = - 6te⁻³ᵗ - e³ᵗ
y" + 7y' + 6y = - 6te⁻³ᵗ - e³ᵗ
a) Show y(t) = te⁻³ᵗ is a possible position function for this weight.
b) Find a general equation for all possible position functions.
c) Find the exact motion equation for this weight if its initial position is y(0) = 3, and its initial velocity is v(0) = y'(0) = -7.
If a 1 kg book has 46 Joules of gravitational potential energy how high is the shelf it is on?
g = 9.8 m/s^2 KE = ½ mv^2 PE = mgh
Answer:
4.7m
Explanation:
Given parameters:
Mass of the book = 1kg
Gravitational potential energy = 46J
Unknown:
Height of the shelf = ?
Solution:
The potential energy is due to the position of a body above the ground.
Gravitational potential energy = mgh
m is the mass,
g is the acceleration due gravity = 9.8m/s²
h is the height which is unknown
46 = 1 x 9.8 x h
h = 4.7m
if the open circuit voltage of a circuit containing ideal sources and resistors is measured at 10 , while the current through the short circuit across the circuit is 400 , what would be the power absorbed by a 60 resistor placed across the terminals?
The power absorbed by a 60 resistor placed across the terminals would be 166.67 mW.
The power absorbed by a 60 ohm resistor placed across the terminals of a circuit containing ideal sources and resistors can be calculated using the formula Power = (Open Circuit Voltage)2 / Resistance. In this case, the open circuit voltage is 10V and the resistance is 60 ohms. Therefore, the power absorbed by the resistor is 102 / 60 = 166.67 mW.
To calculate the open circuit voltage, you first need to find the total current in the circuit. The total current is equal to the current through the short circuit, 400A. Then, using Ohm's law (V = I x R), you can calculate the open circuit voltage by multiplying the total current by the total resistance of the circuit.
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QuestionThe temperature of a body is the measure of average kinetic energy of the molecules of a body. ATrueBFalse
A. True. The temperature of a body is indeed a measure of the average kinetic energy of the molecules of that body.
The temperature of a body is related to the random motion of its constituent particles, such as atoms or molecules. The greater the kinetic energy of the particles, the higher the temperature of the body. Temperature is measured using a thermometer, which works by detecting the expansion or contraction of a material in response to changes in temperature. This expansion or contraction is caused by the kinetic energy of the particles in the material, which increases or decreases as the temperature changes. The relationship between temperature and kinetic energy is a fundamental concept in thermodynamics, and is used to describe many physical phenomena, such as heat transfer, phase transitions, and chemical reactions. Therefore, it is important to understand that temperature is indeed a measure of the average kinetic energy of the molecules of a body.
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Within what distance must an amateur station protect an FCC monitoring facility from harmful interference?
Correct Answer
A. 1 mile
B. 3 miles
C.10 miles
D. 30 miles
The correct option is A, The distance must an amateur station protect an FCC monitoring facility from harmful interference is 1 mile.
Interference refers to the phenomenon where two or more waves meet and their combined effect alters their individual behaviors. When waves interact with each other, they can either reinforce or cancel each other out, depending on their amplitudes and phases. This results in either an increase or decrease in the overall amplitude of the wave.
Interference occurs in many different types of waves, including sound waves, light waves, and water waves. For example, when two sound waves of the same frequency and amplitude meet, they can combine to produce a louder sound. However, if the two waves are out of phase, they can cancel each other out and produce silence. Interference has many practical applications, such as in radio communication and medical imaging.
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uh could i get a little help please im very confused
1) Frequency
2) I dont know this one sorry
55 points question
please put the answer in order by up to down
please help me
Answer:
animal and plant
Explanation:
1st is animal
mitochondria
cell membrane
nucleus
endoplasmic reticulum
golgi body
plant cell
cell wall
cell membrane
chloroplast
nucleus
vacuole
endoplasmic reticulum
mitochondria
golgi body
A _____ is a series of events and activities with no slack time. a. risk path b. foundation path c. baseline path d. critical path.
The D. critical path is a series of events and activities with no slack time.
It is a path that defines the longest duration required to complete a project. It is significant in the project management methodology as it helps the project manager establish a timeline for the project while also identifying the activities that are most critical to the project's completion. If an activity on the critical path takes longer than anticipated, the whole project will be delayed, and if an activity is completed earlier than expected, then it might not be worth it to continue the project, and the client might not be willing to pay for it.
The critical path analysis allows managers to identify and control the critical factors that can impact a project's success, enabling them to focus on the most important areas and make informed decisions about the project. So the correct answer is D. critical path, is a series of events and activities with no slack time.
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Hello I don’t quite understand this question I could really use some help thank you! :)
The necessary to determine the amount of thermal energy applied to the water by the stove is option C. The initial temperature of the room, the initial mass of water, the specific heat of water, the latent heat of fusion of water, and the boiling point of water.
The latent heat of fusion, also known as enthalpy of fusion, is the quantity of strength that should be furnished to a solid substance (generally in the form of heat) so as to cause a trade in its bodily kingdom and convert it right into a liquid.
Thermal electricity refers to the energy contained inside a device that is chargeable for its temperature. heat is the go with the flow of thermal power. a whole branch of physics, thermodynamics, offers how heat is transferred between distinct systems and the way paintings is carried out inside the method (see the 1ˢᵗ regulation of thermodynamics.
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please help i'm going to throw up from stress
Water at 20.0 °C is mixed with 120.0 g of ethyl alcohol at 10.0 °C in a thermally insulated container. If the final mixture has a temperature of 16.0 °C, how much water was added?
No links istg
Answer:
Explanation:
First of all, I used the specific heat of water as 4182 J/(kgC) and the specific heat of ethyl alcohol (EtOH) as 2440 J/(kgC); that means that we need the masses in kg, not g.
120.g = .1200 kg of ethyl alcohol. Now for the formula:
\(t_f=\frac{(m_{H2O}*spheat_{H2O}*temp_{H2O})+(m_{EtOH}*spheat_{EtOH}*temp_{EtOH})}{(m_{H2O}*spheat_{H2O})+(m_{EtOH}*spheat_{EtOH})}\) where spheat is specific heat.
Filling that horrifying-looking formula in with some values:
\(16.0=\frac{(x*4182*20.0)+(.1200*2440*10.0)}{(x*4182)+(.1200*2440)}\) and
\(16.0=\frac{83640x+2928}{4182x+292.8}\) and
16(4182x + 292.8) = 83640x + 2928 and
66912x + 4684.8 = 83640x + 2928 and
1756.8 = 16728x so
x = .105 kg and the amount of water added is 105 g
What is the length of a one-dimensional box in which an electron in the n=1 state has the same energy as a photon with a wavelength of 700 nm ?
Wavelength of the photons is λ = 700 *10^-9 m
Energy of the photon is E = h c / λ
= 6.625*10^-34 J s * 3.00*10^8 m/s / 700*10^-9 m
= 2.83*10^-19 J
The length of a one-dimensional box in which an electron in the n=1 state is
E = n^2 h^2 / 8 m L^2
2.83*10^-19 J = 1 * ( 6.625*10^-34 Js )^2 / 8 * 9.11*10^-31 kg * L^2
L = 4.6*10^-10m
What is Wavelength?
The distance between wave crests, or a person's overall attitude, is called a wavelength. The distance between two waves' crests serves as an illustration of wavelength. When you and another person have the same overall mindset and can easily communicate, it is an example of being on the same wavelength.The SI unit is the metre (m). The largest distance a particle may travel from its mean location is its amplitude. Frequency is defined as the total number of oscillations that occur in a unit of time.To learn more about wavelength visit:
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Electric kettle with the resistance of 20-02.is used-to-heat:4 kg of water. If
the initial temperature of the water is 20°C, how much time-later will the water boil?
C-water=-4200 J/kg°C. The kettle uses:220 V voltage.
Picture=Example
.
A race car is moving with a speed of 280 Km/hr around a circular track with a radius of 320 m. The car and driver have a combined mass of 820 kg. What is the magnitude of the centripetal force that is acting on the car and driver?
The determine the magnitude of the centripetal force acting on the car and driver, we can use the formula Fc = mv^2/r, where Fc is the centripetal force, m is the combined mass of the car and driver, v is the speed of the car, and r is the radius of the circular track.
The First, we need to convert the speed from Km/hr. to m/s by dividing 280 by 3.6, which gives us 77.78 m/s. Then, we can plug in the values into the formula: Fc = (820 kg) x (77.78 m/s) ^2 / (320 m). Simplifying this equation gives us a centripetal force of approximately 15,066 N. This means that the track is exerting a force of 15,066 N towards the center of the circular path, keeping the car and driver moving in a circular motion. It is important to note that the determine the magnitude of the centripetal force increases as the speed or radius of the circular path increases. This force is also necessary for any object moving in a circular path, and without it, the object would move in a straight line instead.
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Balloon a is ___ charged and balloon c is ___ charged. If balloon a approaches balloon c there will be a force of blank between them
Balloon A is positively charged, and balloon C is negatively charged. If balloon A approaches balloon C, there will be an electrostatic force of attraction between them.
When two objects carry opposite charges, they exert an attractive force on each other. This force is known as the electrostatic force and follows Coulomb's law. According to Coulomb's law, the magnitude of the electrostatic force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. In this scenario, since balloon A is positively charged and balloon C is negatively charged, they have opposite charges. Therefore, the electrostatic force between them will be attractive. The magnitude of the force depends on the charges of the balloons and the distance between them. It is important to note that without specific information about the charges of the balloons and their distance, it is not possible to determine the exact magnitude of the force. To calculate the force, you would need the values of the charges and the distance between the balloons.
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Q2 (a) A radar, with coordinates (0,0), has coverage with length of d. While the second radar, with identical coverage, is situated on the east side of the first one. Using signal intersection, both radars detect an object coming closer to the southern direction in the first quadrant. Note that radars swap the covered area into circles.
i) Identify position of the object in terms of distance and angle. Complete your answer with a sketch.
ii) Analyze and calculate the overlapping area from the radar signals intersection at the first quadrant.
Considering the coordinates of the radars as well as the direction of the object in order to determine the object's position in terms of distance and angle. Sincе thе radars arе situatеd at (0,0) and thе sеcond radar is on thе еast sidе of thе first onе, wе can assumе that thе first radar is locatеd on thе x-pivot and thе sеcond radar is locatеd on thе positivе y-hub.
Lеt's say thе objеct is dеtеctеd at coordinatеs (x, y). The objесt's y-coordinativity will be negative and its x-coordinativity positive as it approaches the southern direction in the first quadrant.
We can use the distancе formula to determine the object's diameter from its origin (0, 0):
Distancée = (x + y) 2 The angle can be calculated with trigonometry. The angle can be summarized as:
= arctan(y/x) ii) We must consider the circles of overlap for each radar in order to calculate the overlap from the radar signal intersection in the first quadrant.
Due to the fact that both radars have distinctive overlap and divide the covered area into circles, the overlapped area will be the intersection of these circles.
Thе ovеrlapping arеa can bе calculatеd by finding thе arеa of thе intеrsеction of two circlеs. The formula for the area of the intersection of two circles can be complex and depends on the specific radii and dimensions that exist between the circles' centers.
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