The required velocity of a particle travelling in a straight line with the given acceleration function at s = 10 m is calculated to be 15.52 m/s.
At, s = 0, the velocity of the particle is v = 9 m/s.
Now, let us find the particle's velocity at s = 10 m,
Consider the acceleration function, a = (10 − 0.2 s)
Since, a = v dv/ds, so the above equation can be written as,
v dv/ds = (10 − 0.2 s)
Integrate the above function using the variable separable approach,
9 to v ∫ v dv = 0 to 10 ∫ (10 − 0.2 s) ds
9 to v (v²/2) = 0 to 10 (10 s - 0.2 s²)
v²/2 - 9²/2 = 10× 10 - (0.2 × 10²)
v = 15.52 m/s
Thus, the velocity as s = 10 m, is 15.52 m/s.
The given question is incomplete. The complete question is 'Determine the velocity of the particle when s = 10 m if v = 9 m/s, at s = 0.'
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Consider the following calculation. 4.010 g/(0.08 cm)3 How many significant digits should be in the final answer? - 1- 2 - 3 - 4
In this calculation, the answer should be rounded to 2 significant digits and the final answer should be expressed as 4.0 x 10^2 g/cm^3.
The number of significant digits in a calculation refers to the number of digits that are meaningful and contribute to the accuracy of the result. In determining the number of significant digits in a final answer, the most important factor is the number of significant digits in the measurements used in the calculation.
In the calculation of 4.010 g/(0.08 cm)^3, the number with the fewest significant digits is 0.08 cm, which has two significant digits. Therefore, the final answer can only have two significant digits. This means that the final answer should be rounded to two significant digits, or written in scientific notation with two significant digits.
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What is the acceleration due to gravity felt by a rocket with a mass of 8.2 × 10² kg and is in an orbit of about 110 km? Earth has a mass of 6.0 x 10^24 kg and a radius of 6,400 km.
Answer:
The acceleration due to gravity felt by an object in orbit around the Earth can be calculated using the formula:
a = G * M / r^2
where G is the gravitational constant (6.67 × 10^-11 m^3 kg^-1 s^-2), M is the mass of the Earth (6.0 x 10^24 kg), and r is the distance between the object and the center of the Earth.
For an object in an orbit of about 110 km, we have:
r = 6,400 km + 110 km = 6,510 km = 6.51 x 10^6 m
Substituting into the formula:
a = 6.67 × 10^-11 * 6.0 x 10^24 / (6.51 x 10^6)^2
a = 9.80 m/s^2
So the rocket in an orbit of about 110 km would experience an acceleration due to gravity of approximately 9.8 m/s^2.
stereo vision works because because our eyes see slightly different images with _______ objects shifting more between the two images.
Stereo vision works because our eyes see slightly different images with distant objects shifting more between the two images.
Stereo vision works because our eyes see slightly different images with distant objects shifting more between the two images.
This is due to the fact that our eyes are positioned a few centimeters apart from each other, which gives us slightly different perspectives on the world around us. The difference in perspective between the two images allows the brain to calculate the distance to objects in the scene, creating the perception of depth and three-dimensionality. This process is known as stereopsis and is based on the idea that the closer an object is, the greater the shift between the two images of that object will be. By analyzing these shifts, the brain is able to calculate the relative distances to objects in the scene and construct a three-dimensional representation of the world.
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What is the kinetic energy of a 2000kg boat moving at 5m/s?
Answer:
25000 J or 25 kJ
Explanation:
K = 1/2 mv^2
where mass is in kilograms kg
and velocity is in metres per seconds m/s
Here, m = 2000, v = 5
v^2 = 5*5 = 25
1/2 mv^2 = 1/2 * 2000 * 25
= 50000/2
= 25000
Hope it helps!
Oliver tries to cut a piece of metal 30 centimeters long. The piece of metal ends up being 29. 4 centimeters long. What is the percent error in this situation?.
The percent error in this situation is 2%. This is calculated by taking the difference between the target length of 30 centimeters and the actual length of 29.4 centimeters, and then dividing it by the target length (30 centimeters).
The result is 0.06, which can be expressed as a percentage by multiplying it by 100, giving a result of 2%.
The percent error is an important measure of accuracy, and it can be used to assess the reliability of a measurement. In this case, a 2% error indicates that the measurement is relatively accurate, although it is still slightly off from the expected result.
In general, the smaller the percent error, the more accurate the measurement is. However, a higher percent error does not necessarily indicate that the measurement is completely unreliable, and it can still be used for certain purposes.
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moist heat methods operate at higher temperatures and longer exposure times as compared to dry heat methods. T/F
This statements stands for true, i.e. Compared to dry heat methods, wet heat techniques function at higher temperatures and with longer exposure times.
Moist heat methods, such as boiling, steaming, and autoclaving, operate at higher temperatures and longer exposure times than dry heat methods, such as roasting, baking, and grilling. Moist heat is more effective at killing microorganisms and inactivating enzymes than dry heat because it conducts heat more efficiently than air and penetrates food more effectively. For example, steam sterilization typically occurs at 121-134°C for 15-60 minutes, while dry heat sterilization occurs at 160-180°C for 2-4 hours. The longer exposure times for moist heat methods are necessary to ensure that all parts of the food reach the required temperature to destroy microorganisms and enzymes.
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suppose a mistake is made in preparing a batch of MSA and the starting pH if 7.8 instead of 7.2-7.6. would that affect the mediums sensitivity or specificity?
Yes, it would affect the mediums sensitivity or specificity and may lead to the incorrect or undesired results, due to the error in starting MSA pH.
A change in the starting pH of MSA (methylene blue active) medium from the recommended range of 7.2-7.6 to 7.8 could affect the medium's sensitivity and specificity. Methylene blue is a pH indicator in MSA medium, which is used to identify the presence of gram-negative bacteria. The color of methylene blue changes from blue to colorless in the presence of acid produced by gram-negative bacteria. The change in pH to 7.8 would result in a less acidic environment, which could affect the ability of the medium to detect the presence of acid-producing gram-negative bacteria, leading to reduced sensitivity. Furthermore, a change in the starting pH to 7.8 could also result in false positive results, as the color change of methylene blue can also be influenced by factors other than acid production. This could lead to a decrease in specificity, as the test could be giving false positive results for the presence of gram-negative bacteria.
In conclusion, a deviation from the recommended starting pH of MSA medium can affect the medium's sensitivity and specificity and may lead to incorrect results.
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find the runtime of the following recurrence relation using a recurrence tree: t(n) = t(n/5) t(7n/10) o(n)
O(n0) = O is the temporal complexity when k = 0. (1). This indicates that the recurrence relation's runtime is constant and independent of the input's size.
A recurrence tree approach may be used to determine the runtime of the following recurrence relation.
Assume that t(n) = c*nk, where k is the temporal complexity and c is a constant. O(n) = c * (n/5) = t(n) = t(n/5) + t(7n/10) + ^k + c * (7n/10) ^k + O(n) = c * n ^k * (1/5) ^k + c * n ^k * (7/10) ^k + O(n) (n)
So, (1/5)
^k + (7/10)
^k = 1
Using a logarithmic transformation and the definition of logarithms, the following results are obtained:
0 is equal to k * log(1/5) + k * log(7/10).
We may calculate the following by applying the logarithmic condition log(ab) = log(a) + log(b): k * log(1/5 * 7/10) = 0.
We obtain k = 0 by dividing both sides of the equation by log(7/50).
The temporal complexity is O(n0) = O since k = 0. (1).
This indicates that the recurrence relation's runtime is constant and independent of the input's size.
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i need help please answer right away!
the lungs provide oxygen to the blood
a 10 μf capacitor is connected to a 3.0 v battery. when the capacitor is charged, how much charge is on each plate?
When the capacitor is charged, 15 μC charge is on each plate.
The charge on each plate of a capacitor can be calculated as Q = C * V, where Q is the charge, C is the capacitance, and V is the voltage across the capacitor. In this case, C = 10 μF and V = 3.0 V,
so:
Q = 10 μF * 3.0
V = 30 μC
Therefore, each plate of the capacitor will have a charge of 30 μC / 2 = 15 μC.
A capacitor is an electrical thing that stores electric power in an electric powered area. It consists of two metal plates separated by a non-conductive material called a dielectric. When a voltage source is connected across the plates, an electric charge accumulates on each plate, creating an electric field between them. The amount of charge that can be stored on the plates, and the electric field strength, is proportional to the capacitance of the capacitor.
Capacitors are widely used in electrical circuits for various purposes such as filtering, coupling, and storing energy. They can be found in many different types of electronic devices, such as radios, televisions, computers, and power supplies.
Capacitors can also be used in power factor correction to regulate the flow of AC power in an electrical system. They can also be used in DC-DC converters to regulate the output voltage of a power supply.
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Scientists used the pattern of alternating normal and reversed polarity in rocks to create the geomagnetic ________________.
Scientists used the pattern of alternating normal and reversed polarity in rocks to create the geomagnetic timescale.
who are refered as scientists ?
Scientists are individuals who engage in scientific research and study, and who are recognized for their expertise and knowledge in a particular field of study. They can come from a variety of scientific disciplines, such as physics, chemistry, biology, and earth sciences, and may work in academia, government, or the private sector.
Scientists are professionals who study the natural world in a systematic and organized manner. They use the scientific method, which involves observing and recording data, formulating hypotheses based on their observations, designing experiments to test these hypotheses, analyzing the results, and drawing conclusions based on their findings. Scientists may work in many different fields, such as physics, chemistry, biology, earth science, and others, and they may focus on specific areas within those fields. They may work in academic institutions, government agencies, private research organizations, or industries, among others. Scientists play a critical role in advancing our understanding of the world and developing new technologies, and their work has far-reaching implications for society.
Scientists used the pattern of alternating normal and reversed polarity in rocks to create the geomagnetic timescale.
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What is the opposite of proportional spacing?
Opposite of proportional spacing is monospacing.Monospacing is also called as fixed-pitch,fixed-front spacing.
Monospacing likewise called a fixed-pitch, fixed-width, or non-corresponding textual style, is a textual style whose letters and characters each involve a similar measure of flat space. This differences with variable-width text styles, where the letters and spacings have various widths.Monospaced textual styles are standard on typewriters and for typesetting PC code.
Monospacing were broadly utilized in early PCs and work stations, which frequently had very restricted graphical abilities. Equipment execution was improved by utilizing a text mode where the screen format was tended to as a customary framework of tiles, every one of which could be set to show a person by ordering into the equipment's personality map.
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The electric field strength in the space between two closely spaced parallel discs is n/c. This field is the result of transferring electrons from one disc to the other. What is the diameter of the discs?.
The diameter of the discs is 2 × 0.003 m = 0.006 m.
The electric field between two parallel charged discs can be calculated as E = V/d, where V is the potential difference between the discs and d is the separation distance between them. The charge Q on one of the discs can be calculated as Q = ne, where n is the number of electrons transferred from one disk to the other and e is the charge of an electron.
Using the equations for electric field and charge, we can find the separation distance d between the discs as follows:
[tex]E = \frac{V}{d} = \frac{Q}{A\epsilon_0}[/tex]
d = Q/(AEε 0 ) = ne/(Aε 0 E)
[tex]d= 9.4 * 10^{9} * 1.60 * 10^{-19} / (\pi (d/2)^{2} * 8.85 * 10^{-12} * 1.0 * 10^{5})[/tex]
Rearranging and solving for d, we find:
[tex]d = \sqrt{9.4 * 10^9 * 1.60 * 10^-19 / (\pi * 8.85 * 10^{-12} * 1.0 * 10^5)} \\\\ = \sqrt{1.0 * 10^{-7}}m = 0.003 m[/tex]
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In an operant conditioning experiment, the reinforcer is contingent on the operant response. This means that:.
Therefore, only if the subject responds has the reinforcer been presented.
Operant conditioning gives the word "reinforcer" a specific definition. When it is presented after a response and is dependent upon it, a stimulus known as a reinforcer increases the likelihood that the response will be made in a specific circumstance.
A behavior will be encouraged and strengthened by reinforcement that immediately follows it. Compared to reinforcement, punishment is the opposite. An action is discouraged and made weaker when punishment follows it.
Real-world reinforcement for behavior does not occur all the time. The frequency of reinforcement, according to Skinner, can affect how quickly and effectively someone learns a new behavior.
In a variety of real-world situations, such as the classroom and therapeutic settings, operant conditioning is still frequently used.
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the acceleration of a particle is defined by the relation a = 9 − 3t2, where a and t are expressed in ft/s2 and seconds, respectively. the particle starts at t = 0 with v = 0 and x = 2 ft.
The exact time when this velocity of the object is again zero is found as : t = 3 sec.
Explain the term Acceleration?The rate at which a particle's velocity varies in relation to time is known as acceleration. Due to the fact that both the direction and magnitude are present, it is an vector quantity. Whenever its magnitude does have a negative value, it is sometimes referred to as deceleration.The expression for acceleration is:
a = 9 − 3t²
Integrate the equation w.r.t time to get the velocity.
v = 9t - 3t³/3
v = 9t - t³
At t = 0 with v = 0 and x = 2 ft.
Pu v = 0.
0 = 9t - t³.
t(9 - t²) = 0
On simplification,
t = 0, 3, -3
Thus, the exact time when this velocity of the object is again zero is found as : t = 3 sec.
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The complete question is-
The acceleration of a particle is defined by the relation a = 9 − 3t2, where a and t are expressed in ft/s2 and seconds, respectively. the particle starts at t = 0 with v = 0 and x = 2 ft.
Determine the time when the velocity is again zero,
in the 1860s, maxwell derived a set of mathematical equations that described electromagnetic waves that could have different wavelengths. these waves, which include visible light, have since been shown to
in the 1860s, maxwell derived a set of mathematical equations that described electromagnetic waves that could have different wavelengths. these waves, which include visible light, have since been shown to have no wavelength limit, either short or long.
What is visible light?
Visible light waves are the only wavelengths of the electromagnetic spectrum that humans can see. The different wavelengths of visible light are seen as the colors of the rainbow: red, orange, yellow, green, blue, indigo, and violet.
What is the range of visible light?
The visible wavelengths cover a range from approximately 0.4 to 0.7 µm. The longest visible wavelength is red and the shortest is violet. Common wavelengths of what we perceive as particular colors from the visible portion of the spectrum are listed below.
What are the frequency and wavelength ranges of visible light?
Visible light has around 400 nm to 700 nm and a frequency range of around 400 THz to 800 THz. This part of the electromagnetic spectrum can be “seen” and distinguished optically by the human eye.
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what is the sound intensity that is equivalent to 43.0 db?
The sound intensity that is equivalent to 43.0 dB is equal to [tex]I = 1.0 * 10^{-4} W/m^2[/tex]
Sound intensity is the energy of a sound wave per unit area, measured in watts per square meter (W/m2). It is related to the strength or amplitude of the wave and is a measure of the sound pressure level. Sound intensity can be used to measure the loudness of a sound, as well as its direction and distance from the source.This is because the decibel scale is a logarithmic scale, so a difference of 10 dB represents a 10-fold increase in sound intensity. Therefore, a sound intensity of 43.0 dB is 10^4 (or 10,000) times larger than a sound intensity of 0 dB, which is equal to [tex]I = 1.0 * 10^{-4} W/m^2[/tex]
The equation used to calculate this is:
[tex]I = 10^{\frac{dB}{10}} * 10^{-12} W/m^2[/tex]
or
[tex]I = 10^{\frac{43.0}{10}} * 10^{-12} W/m^2[/tex]
or
[tex]I = 1.0 * 10^{-4} W/m^2[/tex]
therefore ,The sound intensity that is equivalent to 43.0 dB is equal to [tex]I = 1.0 * 10^{-4} W/m^2[/tex]
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Question: Determine If The Following Statements Are True Or False. The Magnitude Of A Vector Can Be Different In Different Coordinate Systems. It Is Possible To Add A Scalar To A Vector. A 2D Vector Can Have A Magnitude Equal To Zero Even When One Of Its Components It Nonzero. The Direction Of A Vector Can Be Different In Different Coordinate Systems. A 2D Vector
The statements about each of the suppositions are given below, to show whether they are true or false.
The True/False Statements
False. The magnitude of a vector is a scalar value that is independent of the coordinate system used to describe the vector.
False. A scalar is a single value, whereas a vector is a quantity with both magnitude and direction. Adding a scalar to a vector would not be meaningful.
True. A 2D vector with both components equal to zero has a magnitude equal to zero, but if one of its components is nonzero and the other is zero, it still has a nonzero magnitude.
True. The direction of a vector depends on the coordinate system used to describe it, and it can change when transforming from one coordinate system to another.
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which process involves greatest heat transfer
The highest heat transfer occurs when one gram of steam is converted to one gram of water at 100 degrees Celsius.
Describe heat.Heat is the result of the movement of kinetic energy within a material or an item, or from another fuel source to a material or an object. Irradiation, conduction, and convection are the three mechanisms through which such energy can be transferred. Energy sources for heating include electricity, combined heat and power, ground source combined heat and power, propane (LP), fossil fuels, oil, coals, and wood.
Heat is what kind of energy?The energy that results from the motion of molecules and atoms in a medium is known as thermal energy, often known as heat. These electrons get hotter as they move more quickly. The heat energy of the ground is known as geothermal resources. Energy that is stored in rotational motion motion energy.
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Why does an increase in the number of molecules increase the pressure?
if an atom has 7 protons and 8 electrons, then it has an electric charge of?
If an atom has 7 protons and 8 electrons, then it has an electric charge of -1.
An electric charge is equal to the difference between the number of protons and electrons in an atom. If an atom has 7 protons and 8 electrons, then it has a net electric charge of:
Charge = # of protons - # of electrons = 7 - 8 = -1
So, the atom has an electric charge of -1, indicating that it is a negatively charged ion or an anion.
An atom is neutral when it has an equal number of positively charged protons and negatively charged electrons. The number of protons in an atom determines its atomic number and its identity as an element. The number of electrons in an atom determines its electric charge.
If an atom has more electrons than protons, it will have a net negative charge, meaning that it is an anion. If an atom has fewer electrons than protons, it will have a net positive charge, meaning that it is a cation.
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What is this possible solution for the problems of bias that are associated with blind administration
Cognitive interview or the way of interviewing eye witnesses is the possible solution for the problems of bias which are associated with blind administration.
What is Blind administration?
Blind administration includes the use of an officer, who is other than the officer, the individual who is constructing the photographic lineup and also the one who does not know the identity of the true suspect, to present the lineup to the eyewitness for the incidence.
Implementing the blind administration, where the officer who is constructing photographic lineup is unaware of who the actual suspect is, can prevent these unconscious actions and also can significantly reduce the likelihood of misidentification.
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Which one of the following values is the smallest possible amount of free charge has been discovered?
A. 1.6 x 10^-19 coulombs
B. 6.63 x 10^-34 coulombs
C. 1.38 x 10^-23 coulombs
D. 5.34 x 10^-20 coulombs
E. 8.85 x 10^-12 coulombs
Solution: The value of 1.6x10-19 coulombs is the elementary charge that is the charge of an electron or a proton is the smallest amount of free charge that has been discovered.
Elementary charge is the smallest amount of free charge that can be measured or quantized. It is a fundamental physical constant. Elementary charge is equal to the positive electric charge present on a proton and negative electric charge present on an electron. Electric charge was first measured by Robert A. Millikan and Harvey Fetcher’s famous Oil drop experiment in 1909. In general the value of 1.6x10-19 c is considered as unit charge which can be positive or negative. Charge of electron is presented as -1 and charge of proton is presented as +1. Depending upon the type of charge presented on chemical species they are designated as positive, negative and neutral.
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An Aircraft flies 800 miles in 60 minutes. How many miles does it fly in 4 hours and 30 minutes assuming a constant speed?
a. 3200
b. 3400
c. 3600
d. 3800
The answer is 3600 or c.
First, do 800 x 4 = 3200 since 60 minutes = 1 hour.
Next, do 800 ÷ 2 = 400 since 30 minutes is half of 800.
Finally, do 3200 + 400 = 3600.
Answer is 3600.
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three equally spaced objects are shown in the figure below with masses identified. is the total gravitational force acting on object b toward the left, toward the right, or zero? explain
Object b is subject to a total gravitational force of zeroThe gravitational attraction between each pair of items in a system of three objects is equal in strength but goes in the opposite direction. This indicates that
A key idea in physics, especially in the study of gravity, is the idea of equal and opposing forces. When two things come into contact with one another, they apply equal and opposing forces. This indicates that the forces experienced by the two objects are equal in strength but directed in opposing directions. When three items are evenly spaced apart, their gravitational pull on the centre object (object b) is equal in strength but opposite in direction, creating a net force of zero. In addition to gravitational forces, this concept also holds true for frictional and electromagnetic forces. It's crucial to comprehend equal and opposing forces while attempting to describe
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a racecar goes around a turn at a speed of 50 m/s. the radius of curvature of the turn is 30 meters. at this point, calculate the car’s centripetal acceleration.
The centripetal acceleration of the racecar is 2500 m/s^2.
The centripetal acceleration of a racecar going around a turn can be calculated using the following formula:
a = v^2 / r
where:
a is the centripetal acceleration
v is the speed of the racecar, and
r is the radius of curvature of the turn.
Centripetal acceleration is important in many real-world applications, such as the motion of satellites around the Earth, the movement of cars on circular roads and amusement park rides, and the movement of electrons in an atom. The magnitude of centripetal acceleration determines the tightness of the circular path and how much the object is being pulled towards the center. Understanding centripetal acceleration is essential for designing and analyzing various systems and processes.
Given the values:
v = 50 m/s
r = 30 meters
We can substitute these values into the formula and solve for a:
a = v^2 / r
a = (50 m/s)^2 / 30 m
a = 2500 m/s^2
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why is force measured in newtons?
Answer:
The SI unit of force is named after the scientist who formulated the 3 laws of motion, Isaac Newton
Explanation:
Well, it's named after the scientist, as he has made a significant contribution in the field of kinematics, attributing various quantities in relation with new ones (momentum, for example) and has changed the way how people perceived motion altogether. What better way to thank the physicist than to name the unit of measurement of a quantity he long experimented with after him?
A Newton is basically 1 kg * 1 m/s², which is given by a standard equation
F = ma
while the proportionality constant was made equal to 1 for our convenience.
Hope this answers your question.
in the video, the loaded car accelerated less than the unloaded car when the same force was applied. this was noticeable because the loaded car
The video demonstrates that, when the same force was applied to both cars, the loaded automobile accelerated less slowly than the unloaded car, which was apparent because the laden car was heavier.
An object's acceleration is inversely proportional to its mass and directly proportional to the force acting on it. This means that the more massive an object is, the less it will accelerated for a given force. In this case, the loaded car had a greater mass than the unloaded car, so the same force produced a smaller acceleration for the loaded car. This is why the loaded car appeared to accelerate more slowly than the unloaded car. The difference in acceleration is a direct result of the difference in mass and the same applied force.
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Figure 17 is a position-time graph of the motion of a basketball thrown straight up. Use the graph to sketch the path of the basketball and to sketch a velocity-time graph of the basketball’s motion. a. Is the velocity of the basketball constant? b. Is the acceleration of the basketball constant? c. What is the initial velocity of the basketball?
a. No, the velocity of the basketball is not constant, b. No, the acceleration of the basketball is not constant, c. The initial velocity of the basketball is zero.
What is velocity?Velocity is the speed of an object in a given direction. It is a vector quantity, meaning it has both a magnitude and a direction. It is usually measured in meters per second (m/s). Velocity can also be expressed in other units, such as kilometers per hour (km/h). Velocity is an important concept in physics, and is used to describe the motion of objects in a variety of situations, such as projectiles and waves. It is also used to calculate force, momentum, and energy. In order to calculate velocity, one needs to know both the object's displacement (change in position) and the time it took for the object to move from its starting point to its final position.
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when using a graduated pipet, at which point do you measure the volume?
Answer: Read the point on the graduated scale that coincides with the bottom of the curved surface of the liquid.
Explanation: