The magnitude of the torque about the bolt due to the worker and the weight of the beam is 13,798.4 Nm.
.What is the magnitude of the torque about the bolt due to the worker and the weight of the beam?
Torque acting on a body about a point is the cross product of the position vector and the force acting on the body. Its magnitude is given by the formula, $\tau = rF\sin \theta $. Complete step by step answer: The magnitude of torque of a body is given as 2.5 Nm.The magnitude of a torque about a fixed axis is calculated by finding the lever arm to the point where the force is applied and using the relation |→τ|=r⊥F | τ → | = r ⊥ F , where r⊥ is the perpendicular distance from the axis to the line upon which the force vector lies.The magnitude of the torque depends on the force, the direction of the force, and where the force is applied. The magnitude of the resultant vector is r F sin(θ). r is measured from the axis of rotation to the line of the force, and θ is the angle between r and F.To learn more about magnitude refers to:
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Below is an outline of Louis Pasteur's swan-neck flask experiment. What can you conclude from his results? Alr escapes from open end of flask. Microorganisms from air settie in bend. 88=-= Years Hours days 1 Broth storized air escapes Broth allowed to cool slowly- air enters 5 Broth stays store Indefinitely Bacteria multiply in broth 4 Flask tiled so that the sterile broth comes in contact with micro- organisms from air. Spontaneous generation is incorrect Only life can beget life Microbes can be found in the air Vital forces cannot travel up the swan-neck flask. Without it, nothing can survive in the broth Spontaneous generation is still a valid theory. The bacteria in the broth came from the broth itself
The term "spontaneous generation" is erroneous. Only life can give birth to more life. Airborne microbes can be detected.
What is experiment?A scientific experiment is any method that uses measurements and tests to confirm or deny a theory. A hypothesis is a notion that looks to be true but has yet to be confirmed, from which a study might be created. A basic experiment often addresses a "What would happen if...?" cause-and-effect inquiry. For example, you're wondering if misting a plant with water helps it develop faster. You get a sense of how the plant grows without being misted and then compare it to how it grows after being misted.
Here,
The phrase "spontaneous generation" is incorrect. Only life can create more life. Microbes in the air can be detected.
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According to the TARGET acronym, which of the following is not a measure to use to foster a mastery-oriented environment
According to the acronym TARGET, affiliation is not a strategy to support a mastery oriented environment.
Creating a mastery oriented environment is where students are actively engaged in the learning process, setting and achieving meaningful goals, and feeling a sense of accomplishment. TARGET is a useful acronym for that goal.
TARGET stands for:
Trust: Building trust between teacher and students is essential so that it increases the likelihood for taking risks and giving feedback.
Authenticity: Teachers must be authentic in their interactions with students. This means being genuinely interested and honest in teaching and assessment.
Respect: It is important to create an atmosphere of respect in the classroom. Respect should be shown to all students.
Growth Mindset: A growth mindset is essential and it means emphasizing effort and progress over ability and success.
Expectations: Teachers should set clear expectations for students, but be flexible in how these expectations are met.
Affiliation is not a measure for fostering a mastery-oriented environment.
It refers to the quality of being intimately connected to or allied with a certain individual, organization, party, business, etc.
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you need to determine the density of a ceramic statue. if you suspend it from a spring scale, the scale reads 30.4 n . if you then lower the statue into a tub of water, so that it is completely submerged, the scale reads 17.0 n .
In this case, the weight in air is 30.4 N and the weight in water is 17.0 N the density can be found using the formula:
density of object = (weight in air - weight in water) / volume of object
The volume of the statue is required to calculate the density using the formula:
density of object = (weight in air - weight in water) / volume of object
To determine the density of the ceramic statue, you can use the concept of buoyancy. The buoyant force on an object submerged in a fluid is equal to the weight of the fluid that is displaced by the object. This can be calculated using the equation:
density of object = (weight in air - weight in water) / volume of object
In this case, the weight in air is 30.4 N and the weight in water is 17.0 N. To calculate the volume of the object, you will need to measure it or have the information available. Once you have the volume, you can plug it into the above equation and calculate the density of the ceramic statue.
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Methane and oxygen combine in a synthesis reaction. true or false
Answer:
True.
Explanation:
A synthesis reaction is a type of chemical reaction in which two or more substances combine to form a new compound. Methane (CH4) and oxygen (O2) can combine in a synthesis reaction to form carbon dioxide (CO2) and water (H2O). This reaction is exothermic and is the basis of combustion reactions.
The balanced equation for this reaction is:
CH4 + 2O2 -> CO2 + 2H2O
In this reaction, one methane molecule and two oxygen molecules combine to form one carbon dioxide molecule and two water molecules.
It's worth mentioning that methane is considered a greenhouse gas, and the combustion of methane releases carbon dioxide and water vapor into the air, which contribute to global warming and climate change.
A sea If the determine 103,000 N Im² divor. density 35M 10301 H=10M total ko no ros belos Surface of the Sea be Sea water is 1.03g/cm²³3 and g=10Nig take atmospheric Pressure to be 103000.calculate total pressure
A sea or an ocean's water is known as seawater or salt water. Oceans around the world have an average salinity of 3.5% (35 g/L, 35 ppt, 600 mM).
What is the density of the sea?Fresh water has a density of 1 g/cm3 at 4 oC (see section 5.1), but adding salts and other dissolved substances raises the density of surface seawater to between 1.02 and 1.03 g/cm3. Seawater's density can be raised by lowering its temperature, raising its salinity, or raising the pressure.Oceans are frequently referred to as "seas" by people. Geographers define a sea as an area of the water that is entirely or partially contained by land.Density can be defined as a substance's weight in relation to its volume. A gramme per millilitre is about how dense water is, however this might vary depending on temperature or the things that are dissolved in it.To learn more about seawater refer to:
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A mass is attached to a vertical spring and set into vibration. The highest point of the motion is Point A and the lowest point of the motion is Point B. At what position or positions in its motion is the object's potential energy at a maximum? (Consider the potential energy of the mass-Earth-spring system.)
Midway between A and B is the position in its motion when is the object's potential energy at a maximum.
A body's mass is an inherent quality. Before the understanding of the atom and particle physics, it was widely considered to be tied to the amount of matter present in a physical body. A body's mass doesn't quite alter at any point in time.
Simply put, a mass-Earth-spring system is a spring device with a block hanging or fastened to the open end of the spring. The duration of any item moving in a simple harmonic motion may typically be determined using this system.
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suppose you use the southern cross to determine that the south celestial pole appears 40 degrees above your horizon. then you must be located at group of answer choices latitude 50 degrees south. latitude 40 degrees north. longitude 40 degrees. latitude 40 degrees south.
"Suppose you use the southern cross to determine that the south celestial pole appears 40 degrees above your horizon. Then you must be located at latitude 40 degrees south." The correct option is 4th.
The local sky's star heights are unaffected by longitude.
The celestial equator and celestial horizon would coincide. Now picture yourself on the Earth's equator, at 0° latitude. Here the celestial equator would pass through your zenith and the north celestial pole (NCP) would lie at the North Point of the horizon and have an altitude of 0°.
Degrees north (+) or south (-) of the celestial equator are used to measure declination. The Earth's Equator is projected onto the Celestial Sphere to create the Celestial Equator. By definition, the CE has a declination of 0 degrees.
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if the cart moves along the track at a constant speed, what are the cart's velocity and acceleration vectors at points a, b, and c? start your vectors at the corresponding black dots. the orientation of your vectors will be graded. the exact length of your vectors will not be graded.
Since the cart moves along the track at a constant speed, its velocity vector at points a, b, and c will have the same magnitude and direction.
The velocity vector can be represented as an arrow pointing in the direction of motion with the magnitude being the speed of the cart.
The acceleration vector at points a, b, and c will be zero since the cart is moving at a constant speed. The acceleration vector can be represented as a zero vector or a vector of length 0 with no direction.
So, the velocity and acceleration vectors at points a, b, and c can be represented as:
Point a:
Velocity vector: constant magnitude and directionAcceleration vector: zero vectorPoint b:
Velocity vector: constant magnitude and directionAcceleration vector: zero vectorPoint c:
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A⃗ = 22x^ + (-14)y^, and B⃗ = 2.5x^ + 13y^. Express A⃗ −B⃗ in unit vector notation.
The unit vector notation in the given direction is [tex]0.58 \hat x + 0.81 \hat y[/tex].
What is vector quantity?A physical quantity that has both directions and magnitude is referred to as a vector quantity.
A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.
In terms of subtracting a vector, it works the same as adding the vector's opposite.
Given that:
[tex]\vec A = 22 \hat x + (-14)\hat y,\\\vec B = 2.5\hat x + 13\hat y.[/tex]
( two given vectors are written here.)
Therefore: the subtraction of these two vectors will be:
[tex]\vec A - \vec B = (= 22 \hat x + (-14)\hat y) - (2.5\hat x + 13\hat y)\\= 19.5\hat x - 27 \hat y[/tex]
Unit vector in that direction of vectors is =
[tex]= \frac{19.5\hat x - 27 \hat y}{\sqrt{19.5^2 + (-27)^2} } \\= 0.58 \hat x + 0.81 \hat y[/tex]
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a force is applied to a block sliding along a surface (figure 2). the magnitude of the force is 15 n , and the horizontal component of the force is 4.5 n . at what angle (in degrees) above the horizontal is the force directed? express your answer in degrees to two significant figures.
When a force of size F = 15 N is observed at an angle from the horizontal, its horizontal and vertical components are denoted by F cos and F sin, respectively.
What of the following forces produces zero work when a block slides down a rough horizontal surface?Because the block's motion as well as the direction of the frictional force are in opposition to one another, friction produces negative work. Frictional energy may also be zero. For instance, if we attempt to push an extremely heavy block across a rough surface, the block remains stationary.
What do you call horizontal forces?The cycle's pace tends to slow down due to an opposing force known as air resistance force, which acts in the opposite direction. The pressure as well as the air drag force are both referred to as horizontal forces when the direction is taken into account.
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follow the example below to write and equation and sketch a graphical model of energy in each situation
The Energy equation for the pendulum at the lowest position will be E(total low) = KE(Low) + ThE(low) and for soccer at maximum height E(high) = KE(high) + PE(max).
For a pendulum, at the lowest point, all the potential energy is converted into kinetic energy and the pendulum motion reaches its maximum velocity. Ignored air resistance. Therefore, no heat energy is generated. This means that all potential energy is converted into kinetic energy. Taking drag into account, the final energy is the sum of thermal energy and kinetic energy, so the sum of the two equals the potential energy of the tip.
E(total low) = PE(low) + KE(low) + ThE(low)
PE(low) = 0
so, E(total low) = KE(Low) + ThE(low) = PE(high)
For a soccer ball, the ball has a horizontal velocity component at its highest point and reaches a certain height. The top speed is slower than the initial speed. The total energy at the tip is therefore equal to the sum of the kinetic and potential energies. As in the previous case, the thermal energy is missing because we ignored the resistor.
E(high) = KE(high) + PE(max)
Therefore, the Energy equation for the pendulum at the lowest position will be E(total low) = KE(Low) + ThE(low) = PE(high) and for soccer at maximum height E(high) = KE(high) + PE(max).
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The complete question is:
follow the example below (the figure attached) to write an equation and sketch a graphical model of energy in each situation. Write down the expanded total energy equation in the case of the pendulum at tje low position and for the soccer ball at its maximum height. Also, make the pie chart diagram of different forms of energy (PE, KE, and ThE).
consider the situation in which the objects collide but do not stick together. which of the following predictions is true about the center of mass of the two-object system immediately after the collision?
The prediction which is true about the center of mass of the two-object system immediately after the collision is option C. does not change.
The distinct location at which weighted precise location of the distributed mass adds to zero at any particular time is known as the centre of mass in physics. Here is where a force can be exerted to produce an accelerometers without also producing an angular momentum.
Momentum is conserved when there is collision among two objects . The ultimate momentum is indeed not zero because the beginning momentum is not. They can't indeed be at ease. One of the objects may be at rest following the collision.
The question is incomplete, find the complete question here
consider the situation in which the objects collide but do not stick together. which of the following predictions is true about the center of mass of the two-object system immediately after the collision?
A. it increases
B. it decreases
C. does not change
D. none of these
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Which of the following determines the earth's temperature?
Answers:
A. Carbon dioxide in the atmosphere
B. Energy output of the sun
C. All of these are correct.
D. Distance from the sun
The greatest option is C because all of them are correct. The planet's temperature is affected by the sun's energy output, the amount of carbon dioxide in the atmosphere, and its distance from the earth.
The atmosphere of Earth is the layer of gases with high speed, collectively known as air, that envelops the planet and gives it its planetary atmosphere. The Earth's atmosphere keeps life on the planet safe by maintaining the pressure necessary for liquid water to exist on the surface. The distance between any two places in space is equal to the length of the straight line connecting them, which is also the shortest path. This is the usual conception of distance in classical physics, especially in Newtonian mechanics.
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A crane uses 19000 watts of power to lift a 6200 kg chunk of metal in a certain amount of time, how much
power will he use to do the same amount of work in three times the time?
The power required to do the same amount of work in three times the time is 19000 watts / 3 = 6333.33 watts.
What is power?
Power is a measure of the rate of energy transfer. It is the rate at which work is done or energy is converted from one form to another. Power is typically measured in watts, which is equal to one joule of energy per second. Power is an important concept in physics, as it can be used to calculate the amount of work done, the amount of energy transferred, or the rate of change of some other physical quantity. Power is also closely related to the concepts of force and energy.
Therefore, The power required to do the same amount of work in three times the time is 19000 watts / 3 = 6333.33 watts.
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factoring in everything we currently know about the history of the universe, our best estimate for the age of the universe is [ select ] . additionally, some scientists speculate that our universe is not the only universe that exists, but the only one we can gather evidence about. this idea is called [ select ] .
Factoring in everything we currently know about the history of the universe, our best estimate for the age of the universe is 13.8 billion years old. additionally, some scientists speculate that our universe is not the only universe that exists, but the only one we can gather evidence about. this idea is called Multiverse Theory .
The multiverse theory is the idea that there may be multiple universes existing in parallel to our own, with their own laws of physics, laws of nature, and potentially different versions of ourselves. The multiverse theory has been proposed by many scientists.
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lab manual and Ch. 2.7) Suppose you hold a ball at a height of 10.0 m and drop it from rest. It takes 1.40 seconds to hit the ground. What is your measured value of g? Use correct units and show all work.
Answer: ch2.7 × 10.0m = 2.10 ÷ 1.40 sec
= ch.10.23.
Explanation:
The measured value of gravity 'g' can be found by plugging the given height and time into the formula h = 0.5*g*t^2. Solving for 'g' gives us a measured value of approximately 10.20 m/s^2.
Explanation:You can calculate the measured value of gravity 'g' using the formula for motion under gravity, which is: h = 0.5*g*t^2. Here 'h' stands for height, 'g' for gravitational acceleration and 't' for time.
Given in the problem is h = 10.0 m, t = 1.40 s. Substituting these values in the formula, we get 10.0 = 0.5*g*(1.40)^2.
Solving for 'g', we find g ~ 10.204 m/s^2. Hence your measured value of 'g' is approximately 10.20 m/s^2.
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approximately 5.4 million hybrid passenger vehicles have been sold in the united states since 1999. approximately 1.4 million plug-in electric passenger vehicles have been sold in the united states since 2010. assume the average energy stored in a hybrid vehicle battery is 1.5 kilowatt-hours (kwh ), and assume the average energy stored in a plug-in electric vehicle battery is 45 kwh .
The total energy stored in these vehicles in gigawatt-hours is 57.4 GWh.
Based on the given information, if 80% of the 5.4 million hybrid vehicles sold in the United States since 1999 are still in service, there are approximately 4.32 million hybrid vehicles currently in use. If the average energy stored in a hybrid vehicle battery is 1.5 kilowatt-hours (kWh), this means that the total energy stored in these vehicles is approximately 6.48 gigawatt-hours (GWh).
Similarly, if 90% of the 1.4 million plug-in electric vehicles sold in the United States since 2010 are still in service, there are approximately 1.26 million plug-in electric vehicles currently in use. If the average energy stored in a plug-in electric vehicle battery is 45 kWh, this means that the total energy stored in these vehicles is approximately 57.4 GWh.
Therefore, the total energy stored in the hybrid and plug-in electric vehicles still in service in the United States is approximately 63.88 GWh. This is a significant amount of energy that can be used for transportation and potentially for other energy needs as well.
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two securities that have different risks and returns?a. standard deviationb. coefficient of variation
For the two securities that have distinct risks and returns, the appropriate measure is the A: standard deviation.
A standard deviation (symbol σ) is a measure of how disseminated the data is in relation to the mean. A low standard deviation indicates that data are clustered around the mean; while a high standard deviation shows that data are more spread out.
Standard deviation is used to measure and compare the two securities that have distinct risks and returns. So option A: standard deviation is the correct answer.
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What two types of simple machine make up this compound machine? Screw,incline,plane lever,wheel and axle screw lever lever pulley
The two types of simple machine make up this compound machine are the screw and the lever.
What is the simple machine?A screw is a simple machine that consists of a spiral groove or ridge, called a thread, wrapped around a cylinder or cone. When the screw is rotated, it can be used to hold two objects together or to lift an object by turning it into a threaded hole.
Therefore, A lever is a simple machine that consists of a rigid bar that pivots on a fixed point, called a fulcrum. A force applied to one end of the lever can be used to lift or move an object at the other end. Lever can be classified into three classes depending on the position of the load, effort and fulcrum.
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As CJ k ad l ad my G My h KD h KD h my SJ KD zhh MD
Cause: According to this law, the skateboard requires an external source of force to move, which the skateboarder indirectly provides.
Effect: On the pavement, the skateboarder reverses forward (that is he applies a force on the road in a direction opposite the direction of intended motion).
What connection exists between a cart's mass and its acceleration after the spring is let go?
The acceleration of the cart is inversely proportional to its mass. As a result, the acceleration of the cart will decrease as its mass increases.
The mass and acceleration are inversely correlated: the acceleration decreases as mass increases.
Newton's second law states that force and acceleration are directly proportional to one another, so if a cart's mass is held constant while the force acting on it increases, the cart will accelerate. When an object moves, it has kinetic energy, which it then expends.
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Under what conditions, if any, will the trajectory of a charged particle not follow a field line?
A charged particle will not follow a field line if it is subjected to an external force that is greater than the force of the electric field.
What is electric field?Electric field is an area of influence created by an electric charge. It is a vector field that surrounds a charged particle or object and exerts a force on other charged particles or objects in its vicinity. Electric fields are created by the movement of electrons and protons, which are both components of atoms. The strength of an electric field is determined by the amount of charge present, as well as the distance from the source.
For example, if a charged particle is subjected to a strong magnetic field, it will experience a Lorentz force which can cause the particle to deviate from its original trajectory and follow a curved path instead of following the field line.
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Select all options that predict the next steps that researchers will take after getting these results.repeat the experiment several times perform the study with more subjects test higher doses of the drug on patients recommend the drug to physicians
Following the receipt of these results, researchers will proceed to the control condition.
What is control condition?A condition in an experiment or research design that does not entail exposure to the therapy or intervention being studied. Thus, introducing a control condition helps researchers to compare how things are in the presence of an independent variable to how things would have been if an independent variable had not been present. Participants in an experimental condition are given a treatment or experience, but those in a control condition are not. The major method by which researchers achieve this level of control over extraneous factors across conditions is known as random assignment, which refers to the use of a random procedure to choose which people are evaluated in which situations.
Here,
After receiving these data, researchers will move on to the control condition.
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the acceleration of a particle is defined by the relation 1 , xa k e where k is a constant. knowing that the velocity of the particle is 9v m/s when 3x m and that the particle comes to rest at the origin, determine (a) the value of k, (b) the velocity of the particle when 2x m.
Determine (a) the value of k in light of the fact that the particle has a velocity of +9 m/s at x=-3 m and rests at the origin.
How fast are particles moving?The speed of a particle—real or hypothetical—in a medium because it transmits a pulse is known as the particle velocity. The meter per second (m/s) is the metric unit for particle speed. Most of the time, this pressure wave is longitudinal, such as with noise, but it may also be transverse, similar to the vibration of the a tight string.
Why is a particle at rest important?You could understand the phrase "A particle in repose prefers to stay at rest" to mean that what a particle that isn't moving relative to a certain context aware tends to remain stationary relative to those same things.
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Help me pleaseee!!
Would appreciate ^^
**BRAINLIST, thanks and
points***
The battery has an internal resistance of 2.50
4.1 Show that the resistance of the 6.2 V, 4.5 W lamp at its working potential difference
(pd) is about 9.
Look at photo for more info
4.2 The terminal pd across the battery is 6.2 V.
Calculate the emf of the battery.
rope
Pulleys P and M are frictionless so that the tension in the rope attached to A is equal to the weight of A
A weighs 35 N and the weight of moveable pulley M is negligible.
Calculate the tension in the horizontal cable C when the gate is closed.
tension
3.3 Pulley M is pulled to the left as the gate is opened.
10/36
Explain why this increases the tension in the horizontal cable C.
The resistance of working potential difference of the 6.2 V, 4.5 W lamp is 8.54 ohm. When terminal pd across the battery is 6.2 V, the emf of the battery is 8.01 V.
What is resistance?The opposition that a substance provides to the flow of electric current is referred to as resistance. The uppercase letter R represents it. The ohm is the standard unit of resistance, which is sometimes written as a word and sometimes represented by the uppercase Greek letter omega. Resistance is a measure of an electrical circuit's resistance to current flow. Resistance is measured in ohms, which is represented by the Greek letter omega ().
Here,
r=2.5 ohm
V= 6.2 volts
P=4.5 watt
P=V²/R
R=V²/P
R=6.2*6.2/4.5
R=8.54 ohm that is about 9 ohm.
I=V/R
I=0.726 A
EMF=V+Ir
=6.2+0.726*2.5
=6.20+1.81
=8.01 volts
The resistance of the 6.2 V, 4.5 W lamp at its working potential difference is 8.54 ohm. The emf of the battery when terminal pd across the battery is 6.2 V is 8.01 V.
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an object is released from rest near the surface of the planet the velocity of the object as a function of time is expressed in the following equation vy = (-3 m/s2) t all frictional forces are considered to be negligible. what distance does the object fall 10s after it is release from rest? a. 3 m b. 30 m c. 150 m d. 500 m
The distance at which object falls is 150m.
Given,
The velocity of the object as a function of time is : [tex]v_{y} = (-3\frac{m}{s^{2} } )t[/tex]
We know that [tex]a = dv/dt[/tex] and [tex]a = v. dv/ds[/tex]
Using these two equations we get: [tex]ds = v .dt[/tex]
Where,
v = velocity function
a = acceleration
s = distance
t = time
To find distance we need to integrate i.e.
[tex]s= \int\limits^a_0 {-3t} \, dt[/tex]
Here a = upper limit = 10 sec (t)
So, [tex]s = \frac{-3t^{2} }{2}[/tex]
Putting t=10, we get s = 150m
So, the distance is 150 m.
Speed is defined as the rate of change of position of an object in any direction.Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.Time can be defined as the dimension based on which the evolution of any system takes place. It can be measured in terms of seconds, minutes, hours, days, weeks, months, and years.To know more about kinematics visit:
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a student must conduct two experiments so that the inertial mass and gravitational mass of the same object can be determined. in the experiment to find the object's gravitational mass, the student ties one end of a string around the object with the other end tied to a spring scale so that the object can vertically hang at rest. in the experiment to find the object's inertial mass, the student uses a spring scale to pull the object, starting from rest, across a horizontal surface with a constant applied force such that frictional forces are considered to be negligible. in addition to the spring scale, the student has access to other measuring devices commonly found in a science laboratory. which of the following lists the essential measuring devices the student can use to collect the data necessary to find the object's gravitational and inertial mass?meterstick and timer
meterstick, timer, and motion director
meterstick, timer, motion director, and mass balance
meterstick, timer, motion detector, mass balance, and protractor
In order to collect data to find an object's gravitational and inertial mass, meterstick and timer are two essential measuring devices that are needed.
Using the angular frequency value (w), inertial mass (m) is determined using the equation below:
w=√k/m
The equation above is solved for mass (m).
m=k/w²
To calculate the gravitational mass, following equation is used:
force gravity = G × M × m / radius²
Where: mass, m, is 1 kilogram; mass of the Earth, M, is 6.0 × 1024 kilogram; the radius of the Earth (separation of masses), r, is 6.4 × 106 m; and G is 6.67 × 10⁻¹¹ newton square metrekilogram-2}.
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in coming to a stop, an old truck leaves skid marks 45 m long on the highway. assuming a deceleration of 6m/s2 , estimate the speed of the truck just before braking.
The speed of the truck just before braking is 23.24 m/s.
What is the speed of the clock before braking?
The speed of the truck before braking is calculated by applying the third kinematic equation as shown below.
v² = u² - 2as
where;
v is the final velocity of the truck when it stopsa is the acceleration of the trucks is the distance travelled by the truckWhen the truck stops, the final velocity = 0
0 = u² - 2as
u² = 2as
u = √2as
u = √ ( 2 x 6 x 45 )
u = 23.24 m/s
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the variation of pressure with density in a thick gas layer is given by , where c and n are constants. noting that the pressure change across a differential fluid layer of thickness dz in the vertical z-direction is given as , obtain a relation for pressure as a function of elevation z. take the pressure and density at z
This is a relation for pressure as a function of elevation z.
What is pressure?Pressure is a measure of the force that is applied over a given area. It is expressed in units such as pounds per square inch, atmospheres, or pascals.
Let the pressure at z be denoted by P(z) and the density at z be denoted by ρ(z).
From the given relation, we have
$$\frac{dP}{d\rho}= c\rho^n$$
The given relation for pressure change across a differential fluid layer of thickness dz in the vertical z-direction is given as
$$dP = -g \rho dz$$
where g is the acceleration due to gravity.
Substituting for $dP/d\rho$ in terms of $\rho$ from the first expression and integrating both sides with respect to $z$, we get:
$$P(z) - P(0) = -g \int_0^z \rho^{n+1} dz + C $$
where C is a constant of integration. Since $P(0)$ denotes the pressure at z=0, it can be written as:
$$P(z) = -g \int_0^z \rho^{n+1} dz + P(0) $$
This is a relation for pressure as a function of elevation z.
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find the magnitude of the electric field, in newtons per coulomb, at the center of the triangular configuration of charges, given that qa
4.33×103 N/C, 35.0∘ below the positive x-axis if qa=+2.50 nC, qb=−8.00 nC, and qc=+1.50 nC are the charges on all the three vertexes of an equilateral Triangle.
As we know the electric field at a point due to a charged particle is E = F/q where f is the force and q is the charge. If the orientation of charges is the same as shown in the image attached then
E = KQq/[tex]r^{2}[/tex]q where k = 8.99 × 10 9 N ⋅ m 2 /C 2.
where Q is charged particle and q is another charge so
E = 8.99 × 10 9*2.50*8.00 /3/4r*2.5
which results in
4.33*10^3 N/C
that is the net electric field at the center of the Triangle with charges on all the vertexes.
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Small spheres of diameter 1.05 mm fall through 20.0°C water with a terminal speed of 2.34 cm/s. Use 1.00 x 10-3 §a for the viscosity of water. Calculate the density of the spheres.
The density of the spheres is 1.004 gm/cm³.
What is terminal velocity?The maximum velocity attained by an object as it falls through a fluid is known as terminal velocity.
It occurs when the sum of the drag and buoyancy forces acting on the object equals the downward force of gravity. Because the object's net force is zero, it has no acceleration.
The terminal speed = 2.34 cm/s.
The viscosity of water = 1.00 × 10⁻³ CGS unit.
Terminal velocity: v = (2/9)(σ − ρ)gr²/η.
σ = 9vη/{2gr²} + ρ
= (9 × 2.34 × 1.00 × 10⁻³)/(2×980×(0.105/2)²) + 1
= 1.004 gm/cm³
Hence, The density of the spheres is 1.004 gm/cm³.
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