a race car starts from rest on a circular track of radius 400 m. the car's speed increases at the constant rate of 0.547 m/s2. at the point where the magnitudes of the centripetal and tangential accelerations are equal, determine (a) the speed of the race car, (b) the elapsed time, and (c) the distance traveled
Answers
The speed of the race car is 14.142 ms−1.
The amount of time that passes between an event's beginning and its conclusion is known as the elapsed time. The time that has gone between the start and finish of an event is known as the elapsed time, to put it simply.
Calculation:Centripetal acceleration ac is given by the expression
ac=Rω
2=v2R
where
v is linear velocity of the object, ω is its angular velocity and R is the radius of the circle in which object moves.
Tangential acceleration at is given to be =0.500 ms−2
Equating the magnitudes of two and inserting value of R
we get v2400=0.500
⇒v=√0.500×400=√200=14.142 ms−1
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Related Questions
How is an electric force similar to other kinds of forces. I attached the information they put for electricity if you need it
Answers
The interaction of an attracting or repulsive force between two charged bodies is referred to as an electric force.
This force is comparable to other forces in that it strikes and affects a specific item, and it is simple to illustrate using Newton's law of motion. One of the forces acting on other bodies is the electric force.
Electric force is the interaction of any two charged bodies that is either repellant or attracting. Similar to any force, Newton's laws of motion describe how it affects the target body and how it does so. The list of additional forces that apply to objects includes the electric force.
The electrostatic force between the two electrons is one of repulsion since electrons are negatively charged and items with like charges repel one another.
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1150 kg car is on a 8.70 degree hill. What’s the x component of the normal force
Answers
Answer:
The x - component of the normal force is equal to 1706.45 N.
Explanation:
To solve the problem, and since there is no additional information, we can safely assume that the x-axis is parallalel to the hill surface and the y-axis is perpendicular to the x-axis. Knowing that, we can calculate the components of the normal force (or weight for this case), using the following formulas:
\(N
x
=W∗Sin(α)=mg∗Sin(α)\)
\(N
y
=W∗Cos(α)=mg∗Cos(α)\)
Now, using the given information, we have:
\(mass=m=1150Kg\)
\(a=8.70\)
\(g=9.81 \frac{m}{ {s}^{2} } \)
Calculating, we have:
\(N_{x}=mg*Sin(\alpha)\)
\( \: \: \: \: \: \: \: \: \: N_{x}=1150Kg*9.81\frac{m}{s^{2}}*Sin(8.70\°)\)
\(N
x =11281.5
s
2
Kg.m
∗Sin(8.70\°) = \\ \\ 1706.45
s
2
Kg.m
=1706.45.23N\)
Hence, we have that the x-component of the normal force is equal to 1706.45 N.
Answer:
zero
Explanation:
fx=
What is a carrier wave?
O a wave used to heat up and cook food
a wave that transmits speech, music, and other signals
a wave used to heat up and cook food
O a wave that reflects off bone in an x-ray
Answers
Answer:
A wave that transmits speech, music, and other signals
Explanation:
Hope it helps
(Give a thank OR mark as brainliest if it's the right answer)
Answer:
a wave that transmits speech, music, and other signals :)
Explanation:
Name one process that requires a force in the human body. Hint: the question is asking about something happening inside of the body like muscle contractions.
Answers
Answer:
Movement
Explanation:
A crane is able to lift 2,200,000 kg. If the crane is able to raise this mass a distance of 20 m by doing 432,000,000 J of work in 35 s, how much power has the crane provided?
Answers
The power provided by the crane is 12,342,857.1 j/s.
Given here work done by crane is (W)= 432,000,000J and time taken (t) is 35second.
Power can be calculated by the formula, Power = Work done /time
Power = 432,000,000/35
Power = 12,342,857.1 joules per second.
Power is the rate at which work is done or energy is delivered. It can be expressed as the ratio of work done (W) or energy transferred to time (t), or W/t. The watt, or one joule per second, is the unit of power. Power is a scalar quantity.
The work done by a force is defined to be the product of component of the force in the direction of the displacement and the magnitude of this displacement. Work can be calculated by multiplying Force and Distance. (W= F×s) . Work is also a scalar quantity.
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A sample gives a transmittance of 1 t a specific wavelength, what is the absorbance?
Answers
The answer is zero.
According to below table we can see:
In spectrophotometry, absorbance and transmittance are measurements. Spectrophotometry determines how much radiant energy a substance absorbs at different light wavelengths. The technique is useful for determining the identity of an unknown substance as well as determining the concentration of a substance in a sample using a set of standards.
In the lab or in the field, a transmittance to absorbance table allows for quick conversion of transmittance values to absorbance.
Transmittance Absorbance (AU)
100% 0
99% 0.004
98% 0.009
97% 0.013
96% 0.018
What is absorbance?
The amount of light absorbed by a solution is measured as absorbance (A), also known as optical density (OD). The amount of light that passes through a solution is measured as transmittance.The absorbance has a logarithmic relationship to the transmittance; with an absorbance of 0 corresponding to a transmittance of 100% and an absorbance of 1 corresponding to 10% transmittance.To learn more about transmittance visit: https://brainly.com/question/14477607
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the temperature of an object is raised by 120° Celsius the resulting increase in its absolute temperature is
Answers
The absolute temperature is 393 K
How do you obtain the absolute temperature?Absolute temperature is a temperature scale that starts at absolute zero, which is the temperature at which all matter has zero thermal energy. The most commonly used absolute temperature scale is the Kelvin scale. The conversion from Celsius or Fahrenheit to Kelvin can be done using the following formulas:
Kelvin = Celsius + 273
Here we would have that;
T = 120° Celsius + 273 = 393 K
This is the absolute temperature that we seek.
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A length of wire is cut into 3 equal pieces. if each piece has a resistance of 0.20 , what is the resistance of the original length of wire?
Answers
Answer:
0.6
Explanation:
the original wire is three times the length there fore the longer the wire the more resistance
therefore the resistance of the original wire is 3 times greater making it 0.6
77. The first law of motion applies to
a. Only objects that are moving
b. Only objects that are not moving
C. All objects whether moving or not
No obiect, whether moving or not
Answers
For tinkercad experts... connect a dc motor that has 25,000 rpm with a potentiometer to a arduino board with a temperature sensor that ranges from -10 to +45 and ir sensor with led to signal motor overspeed (25,000 rpm) and code so all sensors work
Answers
1. Connect the DC motor with a potentiometer to the Arduino board, along with a temperature sensor and an IR sensor with an LED.
2. Write the necessary code to integrate all the sensors and control the motor based on the inputs.
To connect a DC motor with a potentiometer to an Arduino board, you will need to use a motor driver module that can handle the power requirements of the motor. The motor driver module allows you to control the speed and direction of the motor using the Arduino. Connect the motor to the appropriate terminals on the motor driver module and the potentiometer to an analog input pin on the Arduino. The potentiometer will act as a voltage divider, allowing you to vary the input voltage to control the motor speed.
Next, connect a temperature sensor that can measure temperatures in the range of -10 to +45 degrees Celsius. Depending on the type of temperature sensor you are using, you may need to follow specific wiring instructions provided by the manufacturer. Connect the temperature sensor to the appropriate digital or analog input pin on the Arduino board.
Lastly, connect an IR sensor with an LED to detect motor overspeed. The IR sensor can be used to measure the rotational speed of the motor by detecting interruptions in the infrared beam caused by the rotating motor shaft. If the motor speed exceeds the threshold of 25,000 rpm, the IR sensor will trigger an output to activate the LED as a signal.
To make all the sensors work together, you will need to write code using the Arduino programming language. Use appropriate libraries and functions to read the sensor values and implement the desired logic for motor control and overspeed detection. You can define temperature thresholds and motor speed limits in the code and take appropriate actions based on the sensor readings.
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Improperly installed air conditioners can occasionally fall from apartment windows down onto the road below. How long does a pedestrian have to get out of the way of an air conditioner falling eight stories [24m] hello I just need help idea my vi vf t d a and I am not certain if it is a horizontal question or not
Answers
Given data:
* The distance traveled by the air conditioner is,
\(d=24\text{ m}\)Solution:
As the air conditioner is falling freely under the action of gravity.
Thus, the acceleration of the air conditioner is equal to the acceleration due to gravity.
\(\begin{gathered} a=g \\ a=9.8ms^{-2} \end{gathered}\)As the air conditione ris falling itself from the height.
Thus, the initial velocity of the air conditoner is,
\(v_i=0\text{ m/s}\)By the kinematics equation, the final velocity of the air conditioner is,
\(v^2_f-v^2_i=2ad\)Substituting the known values,
\(\begin{gathered} v^2_f-0=2\times9.8\times24 \\ v^2_f=470.4 \\ v_f=21.69\text{ m/s} \end{gathered}\)Thus, the final velocity of the air conditioner is 21.69 m/s.
By the kinematics equation, the time taken by the air conditioner,
\(v_f-v_i=at\)where t is the time taken by the air conditioner to reach the ground,
Substituting the known values,
\(\begin{gathered} 21.69-0=9.8t \\ t=\frac{21,69}{9.8} \\ t=2.21\text{ s} \end{gathered}\)Thus, the time taken by the air conditioner ot reach the ground is 2.21 seconds.
HELP!!! When fat comes in contact with sodium hydroxide, it produces soap and glycerin. Determine whether this is a physical change or a chemical change. Explain your answer.
Answers
Answer:it's a chemical change.physical changes occur without 2 or more reactants,a reaction,and a product
Explanation:
A person with a mass of 40 kg is sitting on a box. What is the value of the normal force
Answers
normal force=mass*gravitational force
normal force=40*0
normal force=40
Someone please help meee
Answers
Answer: Your right its ( The pressure of the substance)
Explanation: MArk me as brainlisti
Answer:
The color of the substance.
Explanation:
The color. (I think, it should be right because color shouldn't affect it.)
Why does the friction force stay the same when the applied force is increasing?
Answers
Answer:
When we increase the applied force (push harder), the frictional force will also increase until it reaches a maximum value. When the applied force is larger than the maximum force of static friction the object will move. ... For kinetic friction the value remains the same regardless of the magnitude of the applied force.
a horizontal clothesline is tied between 2 poles, 20 meters apart. when a mass of 4 kilograms is tied to the middle of the clothesline, it sags a distance of 4 meters. what is the magnitude of the tension on the ends of the clothesline?
Answers
The magnitude of the tension on the ends of the clothesline is 19.6 N. Tension is a force transmitted through a flexible object, such as a rope, string, or cable, when it is pulled from opposite ends.
To find the magnitude of the tension on the ends of the clothesline, we can consider the forces acting on the mass at the middle of the clothesline.
When the mass is at rest, the tension forces on both sides of the mass balance the weight of the mass.
The weight of the mass is given by:
W = m * g
where m is the mass and g is the acceleration due to gravity.
Since the clothesline is horizontal and the mass is at the middle, the tension forces on both sides are equal in magnitude.
Let's denote the tension on each side of the clothesline as T. Therefore, we have:
2T = m * g
Plugging in the values:
2T = 4 kg * 9.8 m/s^2
2T = 39.2 N
Dividing both sides by 2:
T = 39.2 N / 2
T = 19.6 N
So, the magnitude of the tension on the ends of the clothesline is 19.6 N.
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A _______________ disperses light into its component wavelengths and selects a narrow band of wavelengths to pass on to the sample or detector.
Answers
Answer:
monochromator
Explanation:
You are downloading songs to your tablet. The ratio of pop songs to rock songs is 5 : 4. You download 40 pop songs. How many rock songs do you download?
Answers
The amount of rock songs downloaded when at a ratio of 5:4 pop songs to rock songs is 32
What is ratio?Ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
To calculate the amount of rcok songs download with the given ratio, we use the formula below.
Formula:
R = P/n.......... Equation 1Where:
R = Amount of rcok songs downloadedP = Pop songs downloadedn = Ratio of pop songs to rock songs.From the question,
Given:
P = 40 popn = 5:4 = 5/4Substitute these values into equation 1
R = 40/(5/4)R = 40×4/5R = 32 rock songs.Hence, the amount of rock songs downloaded is 32.
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Is this statement true or false?
Line spacing refers to the amount of space between each line in a paragraph.
true
false
Answers
Answer:
True
Explanation:
I just took the test and got 100
Among the bodies in our solar system are asteroids, moons, planets and the Sun. Which statement least supports the theory that gravity helped form our solar system?
A.The Sun consists primarily of gases.
B.Many objects in space are spherical in shape.
C.Planets revolve around an object of greater mass.
D.Planets form by small masses combining into larger masses.
Answers
Answer:
A
Explanation:
Approximately 4.6 billion years ago, the solar system was a cloud of dust and gas known as a solar nebula. Gravity collapsed the material in on itself as it began to spin, forming the sun in the center of the nebula. ... Small particles drew together, bound by the force of gravity, into larger particles.
The Sun consists primarily of gases least supports the theory that gravity helped form our solar system.
What is the Solar System?The Solar System can be defined as the gravitationally bound system of the Sun and the objects that orbit it. Our solar system is formed 4.6 billion years ago from the gravitational collapse of a giant molecular cloud. The vast majority of the mass is in the Sun, with most of the rest mass contained in the planet Jupiter.
The four giant planets of the solar system are substantially larger and extremely massive than the terrestrials planets. Jupiter and Saturn, are gas giants, being made of mainly of hydrogen and helium.
The initial molecular cloud was several light-years across and probably birthed several stars. It consisted mostly of hydrogen, with some helium, and little amounts of heavier elements fused by generations of stars.
This region would become the Solar System, called as the pre-solar nebula collapsed, conservation of angular momentum caused it to rotate.
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most cranial nerves carry both sensory and motor innervation. a. true b. false
Answers
The statement "most cranial nerves carry both sensory and motor innervation" is true
As most of the cranial nerves carry both sensory and motor innervation.
Sensory fibers carry the sensations of sight, sound, and smell from various parts of the body to the brain, while motor fibers stimulate or control the muscles of the body and glands. The cranial nerves are a set of 12 nerves that arise from the brainstem and control the various functions of the head, neck, and internal organs.
The nerves are numbered I through XII, and each nerve is responsible for a particular function or group of functions in the body. They are responsible for sensory and motor innervation for various parts of the head and neck, as well as some visceral organs in the body.
The motor and sensory functions of cranial nerves are intermingled, so that most of the nerves carry both sensory and motor fibers.
For example, the trigeminal nerve is responsible for both facial sensation and the control of the muscles of the face, while the glossopharyngeal nerve is responsible for both taste sensation and the control of the muscles of the tongue. In conclusion, the statement "most cranial nerves carry both sensory and motor innervation" is true.
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Why is it that a system of linear equations Cannot have exactly two solutions?
Answers
Answer:
The system of linear equations refers to the solution set of various linear equations.
A consistent system can either be dependent (both equations represent the same line) or independent. In an independent system, the lines intersect at exactly one point, so there is exactly one solution. A dependent system has an infinite number of solutions and An inconsistent system has no solution, so no system of linear equations can have exactly two solutions.
A speed boat travels 200 miles at a speed of 20 miles/hr. How much time will it take to
travel the 200 miles?
Answers
Answer:it will take 10 hours
Explanation: The way we get this answer is if the boat travels 200 miles at 20 mph that means that every 20 miles the boat traveled an hour would pass. Using this we can see that 20 fits into 200, 10 times, meaning that the time it would take to travel would be 10 hours.
The time it will take to travel 200 miles is 10 seconds
The calculation can be done as follows
= 200/20
= 10 seconds
Hence the amount of time it will take the speed boat to travel 200 miles is 10 seconds
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Explain the law of conservation of mass. How is energy converted?
Answers
The law of conservation of mass states that the mass in an isolated system can neither be created nor be destroyed but can be transformed from one form to another.
How is energy converted?In the conversion of any form of energy, it obeys the law of conservation. That is to say that energy is not lost but can be converted from one form to another.
A form of energy can transform to another form when there is a change in its state.
For example, light energy in bulbs is being converted to heat energy with the bulb is lit.
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What is the power delivered to a light bulb when the circuit has a voltage drop of 120 v and produces a current of 3.0 ampere?
Answers
The power delivered to a light bulb when the circuit has a voltage drop of 120 v and produces a current of 3.0 ampere is 360 watts.
By using the formula the the power delivered to a bulb can be calculated as:
power (P) = voltage (V) × current (I).
According to the question the voltage drop is 120 volts and the current is 3.0 amperes,
Now by substituting these values into the formula:
P = 120 V × 3.0 A
On multiplying the equation gives:
P = 360 watts
Hence, the power delivered to the light bulb is 360 watts.
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a lorry has a mass of 32000 kilograms. each tyre has an area of 400 cm squared in contact with the ground. calculate the pressure exerted on the ground if the lorry has 6 tyres
Answers
Answer:
Your answer is 1306666.6667 Pascal
Please select the word from the list that best fits the definition
Wave that has vibration in a direction that is perpendicular to the motion creating it
transverse wave
longitudinal wave
mechanical wave
Answers
Answer:
Transverse wave
Explanation:
Does Temperature Change Viscosity in Liquid. (I need this for research)
Answers
Answer: A big Yes
Explanation: Viscosity depends strongly on temperature. In liquids, it usually decreases with increasing temperature, whereas, in most gases, Viscosity increases with increasing temperature.
As temperature increases, the average kinetic energy of the molecules also increases; it more easily overcomes the attractive forces between molecules. Therefore, Viscosity decreases with increasing temperature.
For example, when syrup is cold it has a high viscosity and can be difficult to pour. When heated in a microwave, the viscosity decreases and the syrup flows more freely. Similarly, Honey and oil tend to flow better at higher temperatures.
Both cohesion and molecular interchange contribute to liquid viscosity. With high temperatures, viscosity increases in gases and decreases in liquids, the drag force will do the same.
When a liquid is heated, the kinetic energy of its molecules increases and the intermolecular attraction becomes weaker. Hence, the viscosity of a liquid decreases with an increase in its temperature.
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the curiosity rover has detected evidence of what kind(s) of chemical activity in mars's soil?
Answers
The Curiosity rover has detected evidence of chemical activity related to organic compounds, including carbon, hydrogen, oxygen, nitrogen, phosphorus, and sulfur, in Mars' soil.
Curiosity's Sample Analysis at Mars (SAM) instrument suite has been instrumental in analyzing the composition of Martian soil. SAM uses a combination of techniques such as gas chromatography, mass spectrometry, and laser spectrometry to identify and quantify chemical compounds.
One significant discovery made by Curiosity is the presence of organic molecules, which are the building blocks of life as we know it. By heating soil samples, SAM has detected various organic compounds, including simple carbon-containing molecules like methane and more complex compounds like polycyclic aromatic hydrocarbons (PAHs).
Moreover, the rover's findings have indicated the presence of key elements necessary for life, including carbon, hydrogen, oxygen, nitrogen, phosphorus, and sulfur. These elements are crucial for supporting biological processes.
The detection of organic compounds and the presence of elements necessary for life strongly suggest that Mars has experienced chemical activity related to the formation, preservation, and alteration of organic materials. While these findings do not provide definitive evidence of past or present life on Mars, they do enhance our understanding of the planet's potential habitability and the possibilities for finding signs of ancient microbial life. Further exploration and analysis of Martian soil are crucial to unraveling the mysteries of the planet's chemical activity and its potential for hosting life.
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You get yourself a new mirror so that you can admire yourself in the morning. When you open the box, you notice that it is only ½ your height. You think to yourself "This is no good! Now I can't see all of me!" You put it up anyway and realize that you can see your entire body in it. How can this be?
Answers
Answer:
Because you stand at a distance from the mirror at which your entire body shows.
Explanation:
Since the mirror is a plain mirror, the distance of the object from the mirror is also the distance of the image from the mirror. Also since the magnification is 1 for a plane mirror because the height of the image equals the height of the object. Since the magnification always equals 1, for you to be able to see your entire body, you must stand at a distance from the mirror such that your height equals the image height.
Answer: By keeping a distance away from the mirror.
Explanation:
If it's a plane mirror, it's possible to see your entire body by keeping distance away from the mirror. The distance of the object away from the mirror is equal to the distance of the image away from the mirror.