a) The speed of the 60 Kg ball is 4.1 m/s
b) The KE before and after collision is 144 J and 64 J respectively
c) The KE lost is 80 J
What is the momentum?We know that when we talk about the momentum, our minds would go to the collision of the objects that we have in this case which are the balls in the question.
a) Momentum before collision = Momentum after Collison
(2 * 12) + (4 * 60) = (8 * 2) + (60 * v)
v is the velocity of the 60Kg ball
24 + 240 = 16 + 60v
v = 4.1 m/s
b) KE before collision
1) 0.5 * 2 * (12)^2 = 144 J
2) 0.5 * 60 * 4^2 = 480 J
KE after collision;
1) 0.5 * 2 * 8^2 = 64 J
2) 0.5 * 60 * (4.1)^2 = 504.3 J
c) The KE lost in the collision is; 144 J - 64 J = 80 J
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Help me pleaseee!!
Would appreciate ^^
**BRAINLIST, thanks and
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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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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).
Using an ohmmeter, a student measures the resistance between various points on his body. He finds that the resistance between two points on the same finger is about the same as the resistance between two points on opposite hands—both are several hundred thousand ohms. Furthermore, the resistance decreases when more skin is brought into contact with the probes of the ohmmeter. Finally, there is a dramatic drop in resistance (to a few thousand ohms) when the skin is wet. Explain these observations and their implications regarding skin and internal resistance of the human bo
The resistance between two points on the same finger is likely due to the resistance of the skin and the small amount of muscle and fat that is present in the finger.
What is the cause of resistance between two points on opposite hands?The resistance between two points on opposite hands is likely due to the resistance of the skin and the larger amount of muscle and fat that is present in the hand. The resistance decreases when more skin is brought into contact with the probes of the ohmmeter because more skin in contact means more surface area for the current to flow through, thus reducing the resistance. The dramatic drop in resistance when the skin is wet is likely due to the fact that water is a better conductor than dry skin. This observation suggests that the resistance of the human body is largely due to the resistance of the skin, and that the internal resistance of the body (i.e., the resistance of muscles, bones, etc.) is relatively low in comparison.
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in the collision theory of kinetics, which of the following is required to have a successful collision? select all that apply. i. three or more species must collide simultaneously. ii. a collision of the appropriate orientation must occur. iii. transfer of energy must occur in a collision such that the molecule has energy equal to or greater than the activation energy. iv. the temperature of the sample must be greater than 298k. v. formation of products.
The following is required to have a successful collision: ii. A collision of the appropriate orientation must occur, iii. Transfer of energy must occur in a collision such that the molecule has energy equal to or greater than the activation energy, v. Formation of products.
What is collision?Collision is when two objects come in contact with one another and experience a force as a result. This force can be a direct result of the objects hitting each other, or it can be the result of the objects exerting a force on one another in order to move away. In either case, the objects experience a momentary change in their respective velocities.
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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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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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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.
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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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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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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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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T/F deciding that a process that fills bottles with soda is functioning properly by checking the weights for a sample of bottles is an example of inferential statistics.
Inferential statistics is used to determine whether a process that fills bottles with soda is working properly by weighing a sample of bottles, so the given statement is true.
What is Inferential statistics?Inferential statistics is a branch of statistics that employs analytical tools to draw conclusions about a population by analyzing random samples. Inferential statistics seek to make broad generalizations about a population.Descriptive statistics are statistics that summarize the characteristics of a data set. Inferential statistics allow you to test a hypothesis or determine whether your data can be generalized to a larger population.Inferential statistics, or hypothesis testing, allows us to draw conclusions about an entire population based on a representative sample.Inferential statistics most common methodologies are hypothesis tests, confidence intervals, and regression analysis. Surprisingly, these inferential methods can produce summary values that are similar to descriptive statistics like the mean and standard deviation.To learn more about Inferential statistics 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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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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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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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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When a metal surface is illuminated with light of wavelength 437 nm, the stopping potential for photoelectrons is 1.67 V. (c = 3.00 × 108 m/s, h = 6.626 × 10-34 J ∙ s, e = -1.60 × 10-19 C, 1 eV = 1.60 × 10-19 J, mel = 9.11 × 10-31 kg)
(a) What is the work function of the metal, in eV?
(b) What is the maximum speed of the ejected electrons?
(a) Work function of the metal is 2.74 eV. (b) maximum speed of the ejected electrons is 1.15 x 10^6 m/s (1.15 million m/s)
What is work function?The work function is the minimum energy required to remove an electron from the surface of a metal.
AS, Work function (Φ) = hν - eV0
(V0) is stopping potential and (ν) is the frequency of the incident light
Given, wavelength of the incident light is 437 nm,
ν = c / λ = 3.00 x 108 m/s / 437 x 10-9 m = 6.87 x 1014 Hz
Hence, Φ = hν - eV0 = 6.626 x 10-34 J ∙ s * 6.87 x 1014 Hz - 1.60 x 10-19 C * 1.67 V = 4.36 x 10-19 J = 2.74 eV
So the work function of the metal is 2.74 eV.
(b) Maximum speed of the ejected electrons can be calculated using the formula: Vmax = √(2eV0/mel)
Vmax is the maximum speed of the ejected electrons, e is charge of an electron, V0 is stopping potential and mel is mass of the electron.
Vmax = √(2 * -1.60 x 10^-19 C * 1.67 V / 9.11 x 10^-31 kg) = 1.15 x 10^6 m/s
So, the maximum speed of the ejected electrons is 1.15 x 10^6 m/s (1.15 million m/s)
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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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if the vessel has a pinhole-sized leak, which of the following will be true regarding the relative values of the partial pressures of the gases remaining in the vessel after some of the gas mixture has effused?
The option that will be true regarding the relative values of the partial pressures of the gases remaining in the vessel after some of the gas mixture has effused is;
A) Pressure He < Pressure Ne < Pressure Ar
What is pressure?Pressure is defined as the force applied perpendicular to an object's surface per unit area across which that force is dispersed. Gauge pressure is the pressure in relation to the surrounding atmosphere. Pressure is expressed using a variety of units. Pressure is the force acting on a unit area of a surface. It works perpendicular to the surface under pressure. Pressure = force multiplied by the area on which it operates. Pressure is defined as the amount of force exerted perpendicular to an object's surface per unit area, and the symbol for it is p. (or P). The pascal is the SI unit of pressure (Pa).
Here,
The option that will be true in terms of the relative partial pressures of the gases remaining in the vessel after some of the gas mixture has been effused is;
A) Pressure He < Pressure Ne < Pressure Ar
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evaluate the numerical value of the final momentum of the t-shirt using the results from parts a and b. view available hint(s)
The final momentum of the t-shirt can be evaluated by multiplying the mass of the t-shirt (from part a) by its final velocity (from part b). Final momentum = (1.0 kg) x (20.0 m/s) = 20 kg m/s.
What is final momentum?Final momentum is the momentum of an object after it has been acted upon by an external force. It is calculated by taking the initial momentum of an object and adding or subtracting the force of the external force to determine the final momentum. The final momentum is equal to the initial momentum plus the change in momentum caused by the external force. Final momentum can be calculated using the equation pfinal = pinitial + FΔt, where pfinal is the final momentum, pinitial is the initial momentum, F is the force of the external force, and Δt is the change in time caused by the force.
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The drawing shows two situations in which charges are placed on a and y axes. They are located at the same distance if 6.80cm from the origin O. For each of the situations in the drawing, determine the magnitude of the net electric field at the origin
The electric field strength from the origin is 1.95 x 10¹² q ( N/C ).
What is electric field?
The electric field of a charged particle is the region of space where the influence of electric force is felt.
Mathematically, the formula for electric field strength is given as;
E = kq / r²
where;
k is the Coulomb's constantq is the magnitude of the charger is the position of the chargeThe electric field strength from the origin is calculated as follows;
E = ( 9 x 10⁹ x q ) / ( 0.068 m )²
E = 1.95 x 10¹² q ( N/C )
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a cylinder weighing 120 n rests between two frictionless walls as shown. the wall reaction in newton at point a is most nearly
The wall reaction at point A in newton is most nearly calculated to be equal to 60 N.
What is wall reaction?Wall reaction means that when you push on a wall, the wall pushes back on you with force equal in strength to the force you exerted.
Cylinder is in a state of static equilibrium, which means that net force and net torque acting on it are both zero. Force exerted by the wall at point A is equal in magnitude but opposite in direction to force exerted by the cylinder on wall at point A. Since the cylinder is not accelerating, net force acting on it is zero.
Since the force exerted by the wall at point A is equal in magnitude but opposite in direction to the weight of the cylinder, we say that the wall reaction at point A = 1/2 * weight of cylinder = 1/2 * 120 N = 60 N.
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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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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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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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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 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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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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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:
Velocity vector: constant magnitude and directionAcceleration vector: zero vectorLearn more about velocity here:
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