The kinetic energy of the object with a mass of 10 kilograms traveling at a speed of 10 meters per seconds is 500 Joules.
Newton’s laws are encapsulated in what may be the second most famous equation in physics: F = ma, which states that a force F applied to a mass m results in an acceleration a.
Since the mass is accelerating, its velocity v is not constant, but since the acceleration is constant, and acceleration is the rate of change of velocity, the rate at which v is changing is constant and is equal to the acceleration a.
Since the work done by the force is just the energy imparted to the mass, we will use the letters K.E to stand for this work. Then we get,
K.E = ½ × m × v²
Where;
K.E = kinetic energy
m = mass
v = speed
K.E = ½ × 10 × 10²
K.E = 5 × 100 = 500 J
Hence, the correct option is b.
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You are riding in the car with your grandfather, and he turns left. Why do you shift to the right?
Answer: Because physics makes us go to the right
Explanation:
a thick copper wire connected to a voltmeter surrounds a region of time-varying magnetic flux, and the voltmeter reads 5 volts. if instead of a single wire we use a coil of thick copper wire containing 24 turns, what does the voltmeter read?
If instead of a single wire we use a coil of thick copper wire containing 24 turns, then the voltmeter reads 120 V.
What is voltmeter?A voltmeter is also known as a voltage meter. It is an instrument used for measuring the potential difference or voltage between two points in an electrical circuit.
Emf of a solenoid is given by formula:
E= - N (dФ/dt)
Where,
N is Number of turns;
Ф is Magnetic flux and t is time taken
The negative sign indicates the direction of flow or polarity.
It can be seen clearly that the induced emf is directly proportional to the number of turns.
So, if the initial voltage is given 5 volts at a set number of 24 turns, the voltmeter reads:
= E *N
= 5 * 24
Voltmeter reads = 120 volts.
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If a conductor is connected to "ground", then what is the charge on it?
positive
neutral
negative
determined by other nearby charges
If the conductor is connected to the ground, then it has a neutral charge.
Earth acts as a zero potential ground. So when you connect a positively charged conductor to the ground, the positive charge flows into the ground, resulting in the flow of electrons from the ground to the conductor. A ground wire acts as protection against unstable currents.
Under normal circuit conditions, no current flows through the ground wire. However, when an electrical accident such as a short circuit occurs, the ground wire removes the unstable current from the electrical system and leads it to the ground. The ground wire can be finger-safe as long as there is no electrical surge that causes current to flow through the ground wire.
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I wooden table was placed on a wooden floor having a mass of 10 K to the table was pushed by 10N and did not move
Answer:
Explanation:
A wooden table with a mass of 10 kg was set on a wooden floor and pushed with a force of 10N to the table, however, it did not move due to friction.
Because the force of friction was greater than the force given to the object, it did not move.
To move the box, the force applied should be more than 10N
during takeoff, the sound intensity level of a jet engine is 110 db at a distance of 26 m . part a what is the sound intensity level at a distance of 1.0 km ?
The sound intensity level at a distance of 1.0 km is 94.149 dB
The expression of the intensity of the sound is,
B=10log([tex]\frac{I}{Io}[/tex])
I=Io([tex]10^{\frac{B}{100} }[/tex])
= ([tex]10^{-12}[/tex])(10[tex]\frac{110}{10}[/tex])
= 0.1 W/[tex]m^{2}[/tex]
The new intensity of the sound is,
I' = [tex](\frac{r1}{r2}) ^{2} (I)[/tex]
= [tex](\frac{26m}{1000m} )^{2}(0.1W/m^{2} )[/tex]
= 0.00026W/[tex]m^{2}[/tex]
The intensity level of the sound is ,
β = 10log([tex]\frac{I}{Io}[/tex])= 10log([tex]\frac{0.0026W/m^{2} }{10^{-12 W/m^{2} } }[/tex])
= 94.149 dB
Sound intensity, also called sound intensity, is defined as the power carried by a sound wave per unit area in a direction perpendicular to that area. The SI unit of intensity, which includes sound intensity, is watts per square meter (W/m2). One application is the noise measurement of sound intensity in air at the listener's location as the amount of sound energy.
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a resistance that varies as the patient moves the joint through a range of motion while the speed of motion does not change is calssified as
A resistance that varies as the patient moves the joint through a range of motion while the speed of motion does not change is classified as isokinetic exercise.
Isokinetic exercise is a type of exercise training that uses a special machine. The exercise machine generates different levels of resistance. your movements are at a constant speed, irrespective of the amount of force you apply. The machine can always match the amount of force you apply.
Walking on a treadmill is an example of an isokinetic exercise. Cycling on an exercise bike is another example. During walking at a constant speed, muscles contract at the same speed throughout the range of motion.
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radha climbs a 80 metre high hill within 4 minutes. Calculate her power. the weight of her body is 40 kg
Answer:
Below
Explanation:
Power = work/time and work = F * distance and Force = ma
power = m * a * d / seconds
40 * 9.81 * 80 / ( 4*60) = 130.8 Watts
The calculated power is when Radha climbs a 80 meter high hill within 4 minutes and her weight is 40kg.
Power is rate of doing work, Power is work divided by time.
In this problem Radha is climbing hill which is 80 meter in height. her weight is 40kg, writing weight in Si Unit (newton), we have to multiply it by acceleration due to gravity, Hence weight in newton will be 40×9.8= 392N.
Radha have to force herself by 392N to climb hence force is 392N.
Given,
Force = 392N
height = 80m
Time = 4 minute = 4×60 = 240s
Power = Work/time = F×s÷t = 392×80÷240
Power = 31360/240 = 130.6 W
Hence power calculated is 130.6 W.
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calculate the angle for the third-order maximum of 605 nm wavelength yellow light falling on double slits separated by 0.105 mm.
The angle for third order maximum is [tex]0.481^{\circ}[/tex] .
Given that, wavelength of yellow light is 605-nm. Distance between the slits on which the light is falling is 0.105 mm.
The angle for the the third order maximum can be calculated by the formula given below.
[tex]m \lambda=2 d \sin \theta[/tex]
where, λ is the wavelength of light, is the distance between the slits and is the order of diffraction.
For the third order,[tex]m=3[/tex].
Substituting the values in the above formula, we get the angle for the third order maximum.
[tex]\begin{aligned}& 3 \times 605 \times 10^{-9}=2 \times 0.105 \times 10^{-3} \times \sin \theta \\& \sin \theta=\frac{3 \times 605 \times 10^{-9}}{2 \times 0.105 \times 10^{-3}}\end{aligned}[/tex]
Simplifying the above equation as,
[tex]\begin{aligned}& \sin \theta=0.0084 \\& \theta=\sin ^{-1}(0.0084) \\& \theta=0.481^{\circ}\end{aligned}[/tex]
Hence, the angle for third order maximum is [tex]0.481^{\circ}[/tex].
What is the wavelength?
A quality of a wave that is the distance between similar points between two continually waves is called wavelength.
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study the spectral types listed in appendix f for the 20 brightest stars and for the stars within 12 light-years of earth. why do you think the two lists are so different? explain.
The points about the stars from the appendix are: Sirius A is the most luminous star within 12 parsecs. It is also the brightest star in our sky, even though it is not the closest. The list of the brightest stars will include the very luminous hot stars from distances greater than 12 light-years, while the list of the fainter yet closer low-mass stars will not.
The list of stars within 12 light-years is volume-limited, which means that almost all of the stars within that distance are listed regardless of luminosity. Such a list is a better representative of the total population of stars and is more plausible to be dominated by low-mass stars. The list of brightest stars includes only those stars that are above a certain apparent brightness threshold.
Therefore, the faintest nearby stars are excluded, but the brightest and rarer hot stars are included in higher proportion than they are in a volume-limited list.
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stimulus producing a response that reduces its effects is producing à response that amp fies its effects is responds in a way that influences the original is received by control center effector sends a signal along the efferent pathway to the sends a signal along the afferent pathway to the sensory receptor negative feedback positive feedback is a mechanism that when used appropriately returns the body to is a mechanism that, when used appropriately retuns the body to homeostasis specifically moves the variable away (at least temporarily) from specifically moves the variable toward oniginal set point or range
A decline in function as a result of stimulation is known as negative feedback. When there is negative feedback, the output of a certain system or reaction is reduced.
The homeostatic process is known as a negative feedback mechanism when the response causes the initial stimulus to decrease. Positive feedback mechanisms are those where the response improves upon the initial stimulus. Feedback loops react to environmental changes or stimuli to keep systems operating close to their set point or ideal level. When an input or stimulus is affected or influenced by an output or response from a loop, this is known as feedback.
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which term describes the process that continually moves water from the ground to the atmosphere and back?
The word "water cycle" refers to the ongoing process that transfers water from the earth to a atmosphere and back.
Explain the term water cycle?The hydrologic cycle, another name for the water cycle, describes where and how water is kept on Earth.
With in atmosphere, on the surface of the land, and underground, water is kept in reserve. It could be a gas, a liquid, or a solid. Either fresh or salt water can be a liquid (salty).Water flows between its storage locations. It flows on both extremely tiny scales and very big scales (via watersheds, through atmosphere, and beneath the Earth's surface) Water flows both naturally and as a result of human activity. The motion of Earth's water is sustained by the gravity force and solar energy. The water cycle is impacted by human activity because it changes where water is.Thus, the term "water cycle" refers to the ongoing process that transfers water from the earth to a atmosphere and back.
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For a wave pulse on a string to travel twice as fast, the string tension must be
1-Decreased to one fourth its initial value.
2-Increased by a factor of 4.
3-Not possible. The pulse speed is always the same.
4-Increased by a factor of 2.
5-Decreased to one half its initial value.
choose the corecct answer.
Option B; A wave pulse on a string to travel twice as fast, the string tension must be 2-Increased by a factor of 4.
wave velocity is given by
v =2v.
T = 4T
As the pulling force transmitted axially by a string, rope, chain, or other similar object, or by each end of a rod, truss member, or other similar three-dimensional object, tension is defined; it can also be defined as the action-reaction pair of forces acting at each end of the aforementioned elements. Compression's opposite, tension, might exist.
When molecules or atoms are forced apart at the atomic level and accumulate potential energy while a restoring force is still present, the restoring force may produce what is also known as tension. Under such stress, each end of a string or rod might pull on the thing to which it is linked, releasing the tension and allowing the string or rod to return to its relaxed length.
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What might cause cosmic radiation to be deflected around Earth?
Earth's magnetic field causes cosmic radiation to be deflected around Earth.
What is magnetic field of Earth?Earth's magnetic field, also known as the geomagnetic field, is the magnetic field that extends from Earth's interior out into space, where it interacts with the solar wind, a stream of charged particles emanating from the Sun. The magnetic field is generated by electric currents due to the motion of convection currents of a mixture of molten iron and nickel in Earth's outer core: these convection currents are caused by heat escaping from the core, a natural process called a geodynamo.
The magnitude of Earth's magnetic field at its surface ranges from 25 to 65 μT (0.25 to 0.65 G). As an approximation, it is represented by a field of a magnetic dipole currently tilted at an angle of about 11° with respect to Earth's rotational axis, as if there were an enormous bar magnet placed at that angle through the center of Earth.
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Part A Complete the Part A Concept Map to describe the types of connective tissue found in the body Drag the appropriate labels to their respective targets. View Available Hint(s) Reset Help collagen and a few elastic adipose collagen reticular, elastic dense connective tissue connective tissue areolar that conveyis) fluid and strengthens) organs is/are matrix includes ground substance and the following fiber(s): that stor(s) fat and protect(s) organisare matrix includes ground substance and the following fiber(s): that attach() muss and bones is/are matrix includes ground substance and the following fibers): Sum Part B Complete the Part B Concept Map to indicate connective tissues' characteristic functions. Drag the appropriate labels to their respective targets. View Available Hints) Reset Help colagen only hyaline cartilage Inorganic salt connective tissue compact bone blood that transport(s) materials in a plasma matrix Ware the stores) minerals and anchoris) muscles are matrix includes nonbrous matrix includes ground substance and the following fiber(s) that covers and protects the end of long bones are mat includes ground susce and the following fibero): Submit
Three subgroups of connective tissue can also be distinguished: loose connective tissue, dense connective tissue, and specialized connective tissue. Extracellular matrix, collagenous, elastic, and reticular fibers make up loose connective tissue, which serves to hold organs in place.
Appropriate connective tissue is further classified into loose and dense connective tissues. Adipose, reticular, blood, bone, and cartilage are all types of specialized connective tissue. Any illness that affects the bodily tissues that link the body's structures together is referred to as a connective tissue disease. Collagen and elastin, two proteins, are the building blocks of connective tissues. The protein present in collagen
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a 4.20-m-long, 580 kg steel beam extends horizontally from the point where it has been bolted to the framework of a new building under construction. a 75.0 kg construction worker stands at the far end of the beam. what is the magnitude of the torque about the point where the beam is bolted into place?
The tension exerted on the bolt by the worker and the weight of the beam is 15023.4 Nm in size.
The parameters are as follows: length of steel, L = 4.20m; mass of steel, m = 580 kg; and mass of work, m = 75.0 kg.
The following formula is used to determine how much torque the worker's weight and the weight of the beam will exert on the bolt;
the beam's center of gravity [tex]\frac{4.20}{2} = 2.1 m[/tex]
[tex]T_{t}=T_{1}+T_{1}[/tex]
[tex]T_{t}=F_{1}.r_{1}+F_{2}.r_{2}[/tex]
[tex]T_{t}=(580*9.8*2.1)+(75.0*9.8*4.20)[/tex]
[tex]T_{t}=15023.4 Nm[/tex]
This results in a torque of 15023.4 Nm being applied on the bolt by the worker and the weight of the beam.
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Alpha Centauri has a parallax angle of 0.7420", calculate its distance in parsecs and in light-years.
The distance for α Centauri in light-years is 4.35
Proxima Centauri is the closest star to the Sun and is part of the Alpha Centauri star system, located 4.24 light-years away from Earth in the constellation Centaurus. Alpha Centauri A and Alpha Centauri B are the primary components of the Alpha Centauri star system, located 4.37 light-years away from Earth. Alpha Centauri A is slightly brighter than the Sun, while Alpha Centauri B is slightly dimmer.
The parallax angle of α Centauri is 0.7420".To calculate the distance in parsecs and light-years, we need to use the formula:
Distance (in parsecs) = 1 / parallax angle (in arcseconds)
Therefore, the distance for α Centauri in parsecs is:
Distance (in parsecs) = 1 / 0.7420" = 1.34 parsecs
To calculate the distance in light-years, we need to use the formula:
Distance (in light-years) = Distance (in parsecs) × 3.26
Therefore, the distance for α Centauri in light-years is:
Distance (in light-years) = 1.34 parsecs × 3.26 = 4.35 light-years
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the efficiency of a solar cell is defined as the percentage of the total energy input that does useful work.
The proportion of the total energy input that is put to use in a solar cell is known as its efficiency, so this is a true statement.
What is a Solar cell?A solar cell, also known as a photovoltaic cell, is a type of electronic device that uses the photovoltaic effect to convert light energy directly into electricity.
What is Energy?Energy is the ability to perform work. It could exist in several different forms, such as potential, kinetic, thermal, electrical, chemical, radioactive, etc. Additionally, there is heat and work, that is energy being transferred from one body to another. It is always assigned based on its nature once it has been transmitted. Thus, heat transmitted may manifest as thermal energy while work performed may result in mechanical energy.
Hence, the proportion of the total energy input that is put to use in a solar cell is known as its efficiency, so this is a true statement.
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two blocks are connected by an ideal string that runs through a hole in a table. the first block (a) has a mass of 2.0kg and is moving in a circle of radius 0.75m on a frictionless table. the second block (b) has a mass of 5.0kg and is hanging under the table, attached to the string that is connected to block a. what tangential velocity (in m/s) must block a have so that block b remains at the same height under the table?
The tangential haste(velocity) of the block m1 on the amicable(frictionless) table is1.34 m/s.
The given parameters;
mass of the first block, m1 = 2 kg
mass of the alternate block, m2 = 5 kg
distance of block m1, R = 0.75 m
The net torque on both blocks is calculated as
T( net) = Iα
T2R2- T1R1 = Iα
where;
T ₁ is the (tension)pressure on first block
I is the moment of inertia of point mass
α is the angular acceleration
T1 = m1g m1a
T2 = m2g m2a
The acceleration of both blocks is calculated as follows
R( T2- T1) = MR ² x( a/ R)
R( T2- T1) = MRa
(T2- T1) = M*a
g( m2- m1) = a( M m1 m2)
Where,
M is the mass of string = 0
g( m2- m1) = a( m1 m2)
a = 1.88 m/ s ²
The speed of the block m1 is calculated as follows;
a = v ²/ r
v = ar
v = 1.88 *0.75
v = 1.34 m/ s
Therefore, the tangential velocity of the block m1 on the frictionless table is 1.34 m/s.
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convert the following kelvin temperatures to the celsius and fahrenheit scales: (a) the midday temperature at the surface of the moon (400 k); (b) the temperature at the tops of the clouds in the atmosphere of saturn (95 k); (c) the temperature at the center of the sun 11.55 * 107 k2.
The following kelvin temperatures to the Celsius and Fahrenheit scales:
[°F] = [K] × 9/5 - 459.67
[°C] = [K] -273
A) 400k
F = 260.33
C = 127
B) 95 k
F= -288.67
C = -178
C) 1.55*10^7K
F = 2.79 *10^7
C = 1.55*10^7
The Fahrenheit scale was first proposed by German physicist Daniel Gabriel Fahrenheit in 1724. Using a tube filled with mercury or alcohol, Fahrenheit used his three points to determine the scale. He set the point where water, ice, and ammonium chloride (a salt) are stable at his 0°F.
The Celsius scale or Celsius scale is a temperature scale based on the freezing point of water at 0°C and the boiling point of water at 100°C. The Fahrenheit scale is a temperature scale based on the freezing point of water at 32°F and the boiling point of water at 212°F. Fahrenheit is used primarily in the United States, while Celsius is used worldwide.
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you add equal amounts of heat to two identical cylinders containing equal amounts of the same ideal gas. cylinder a is allowed to expand, while cylinder b is not. Part A How do the temperature changes of the two cylinders compare?
By ideal gas theory, cylinder b has the higher temperature do the temperature changes of the two cylinders compare.
What is an ideal gas explain?The phrase "ideal gas" describes a fictitious gas made up of molecules that adhere to the following principles: No attraction or repellence exists between the molecules of ideal gases. The sole action between molecules of an ideal gas would be an energetic collision when they collided or an athletic collision with the container walls.
Briefing:To answer this issue, we must be familiar with the ideal gas theory. The ideal gas is depicted by
P . V = n . R . T
where R is the ideal gas constant, T is the temperature, n is the number of molecules, P is the pressure, V is the volume, and.
We can infer from the given query that
Pa = Pb = P
na = 3nb
Find the cylinder's temperature in a
P . V = n . R . Ta
Ta = P . V /( na . R )
Substitute na
Ta = P . V /( (3nb) . R )
Ta = (1/3) x (P . V /( (nb . R ))
Find the temperature of the cylinder b
P . V = n . R . Tb
Tb = P . V /( nb . R )
The temperature in cylinder an is three times lower than that in cylinder b.
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The kinetic friction force between a 55.0 kg and a horizontal surface is 45.N IF THE initial speed of the object is 24.0m/s and a friction is the only force acting on the object what distance will it slide before coming to a stop
The distance the 55.0 Kg object will slide before coming to rest, given that it was it was initially tracing at 24 m/s is 351.22 m
How do I determine the distance?First, we shall obtain the deceleration of the object. Details below
Mass (m) = 55.0 KgForce of friction (F) = -45 NDeceleration (a) = ?F = ma
Divide both sides by m
a = F / m
a = -45 / 55
a = -0.82 m/s²
Finally, we shall determine the distance the object will slide before coming to rest. Details below
Initial velocity (u) = 24 m/sFinal velocity (v) = 0 m/s Deceleration(a) = -0.82 m/s²Distance (s) =?v² = u² + 2as
0² = 24² + (2 × -0.82 × s)
0 = 576 - 1.64s
Collect like terms
0 - 576 = -1.64s
-576 = -1.64s
Divide both side by -1.64
s = -576 / -1.64
s = 351.22 m
Thus, we can conclude that the distance is 351.22 m
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A wave with a wavelength of 3 m travels with a frequency of 450 Hz. What is its speed? Answer quickly.
The speed of a wave with a wavelength of 3m and frequency of 450Hz is 1350 meters per seconds.
How to calculate the speed of a wave?Wavelength is simply the distance over which the shapes of waves are repeated. It is the spatial period of a periodic wave.
It is expressed as;
λ = c ÷ f
Where c is speed, f is frequency and λ is wavelength.
Given the data in the question;
Wavelength λ = 3mFrequency f = 450 Hz = 450 s⁻¹Speed c = ?Plug the given values into the above formula and solve for speed v.
λ = c ÷ f
c = λ × f
c = 3m × 450s⁻¹
c = 1350 ms⁻¹
Therefore, the speed of the wave is 1350m/s.
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an inductor with an inductance of 15.0 mh carries an electric current of 29.0 a. how much energy is stored in the inductor (or it's magnetic field, if you like) in joules? round your answer to the nearest tenth of a joule.
Answer:
29.0 it's magnetic
Explanation:
Organizational commitment has been found to be positively correlated with all of the following except
an employee's age
an employee's time on the job.
an employee's level of education
the current job market.
2 points
QUESTION 2
Shannon is given random bonuses of varying amounts throughout the year based on "how well the company is doing." She is being reinforced using a
fixed ratio schedule.
variable ratio schedule.
fixed interval schedule.
variable interval schedule.
2 points
QUESTION 3
Glass created a computer game experiment whose results indicated that Type A subjects?
Showed a significantly higher physiological stress response rates than the Type B subjects, but recovered back to baseline rates as quickly as the Type Bs.
Showed significantly lower physiological stress response rates than the Type B subjects.
Showed similar physiological stress response rates to the Type B subjects in the game, but had a signficantly higher stress response to the "harrass" condition.
Showed significantly higher stress response rates but beat the game more times than the Type B subjects.
2 points
QUESTION 4
According to goal-setting theory, the key determinants of motivation in the workplace are
job satisfaction and the accomplishment of goals.
monetary incentives associated with meeting goals.
specific, challenging opportunities and commitment to goals.
specific, challenging opportunities and organizational policies directed at goal attainment.
2 points
QUESTION 5
There is a negative correlation between age and voluntary absenteeism.
True
False
1
1) Current Job Market 2) Variable Ratio Schedule 3) Showed significantly lower physiological stress response rates than the Type B subjects.4) Specific challenging activities and commitment to goals 5) True.
Various research studies have proved that an employee's age, tenure, and level of education positively correlates with organizational commitment. A variable-ratio schedule is a reinforcement where conduct is strengthened after an irregular number of reactions. According to Locke's Goal Setting theory, human actions are purposeful and are directed by conscious goals and the challenging nature of opportunities.
When a behavior is reinforced after a random number of answers, it is said to be on a variable ratio schedule. A high, consistent rate of response is produced by this form of timetable. Because of the chance that the subsequent response will be the one required to get reward, organisms are persistent in responding.
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two carts mounted on an air track are moving toward one another. cart 1 has a speed of 0.9 m/s and a mass of 0.54 kg. cart 2 has a mass of 0.67 kg. (a) if the total momentum of the system is to be zero, what is the initial speed (in m/s) of cart 2? (enter a number.)
Answer:
v=0.725
Explanation:
p=mv so momentum of cart 1 is 54x0.9=
0.486 kg•m/s,,, cart 2 has a momentum of 0.67v according to the formula for momentum, so we know that
0.67v+0.486=0.0
now subtract 0.486 from each side to
get
-0.486=0.67v
divide by 0.67 on each side to get
v=0.725
At Six Flags Great Adventure Amusement Park in New Jersey, a popular ride known as "Free
Fall" carries passengers up to a height of 33.5 m and drops them to the ground inside a small
cage. How fast are the passengers going at the bottom of the exhilarating journey?
At the bottom of the journey, the passengers will be travelling at a speed of approximately 39.2 m/s.
What is acceleration?Acceleration is the rate of change of an object's velocity over time. It is a vector quantity, meaning it has both magnitude and direction. Acceleration is usually denoted by the letter a in equations. It is the second derivative of position with respect to time, or the rate of change of velocity. Acceleration describes how quickly an object's speed changes with time. Acceleration can involve either an increase or decrease in speed, and it can involve either a change in direction or no change in direction.
This is because the velocity of a free falling object is equal to the square root of two times the acceleration of gravity times the height from which the object is dropped.
In this case, the height is 33.5 m, and the acceleration of gravity is 9.8 m/s2.
Therefore, the velocity at the bottom of the journey is equal to the square root of two times 9.8 m/s2 times 33.5 m, which is equal to 39.2 m/s.
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A 4.0 m long thin rod is pinned so that it spins about its center. The rod has a rotational inertia of 8.0 kg m2 about this center. The rod has two 3.0 kg masses attached at each end. What force F must be applied to one end to make the system rotate with an angular acceleration of 4.0 rad/s2 about its center?
The force F must be applied to one end to make the system rotate with an angular acceleration of 4.0 rad/s² about its center is 8 N.
What is the force that must be applied at one end of the rod?
The force that must be applied at one end of the rod to make the system rotate with an angular acceleration of 4.0 rad/s² about its center is calculated by applying the principle of conservation of angular momentum.
Mathematically, the formula for angular momentum is given as;
Fr = Iα
where;
F is the applied force r is the perpendicular distance I is the moment of inertia of the rodα is the angular acceleration of the rocF = ( Iα ) / ( r )
The force F must be applied to one end to make the system rotate with an angular acceleration of 4.0 rad/s² about its center is calculated as;
F = ( 8 kgm² x 4 rad/s² ) / ( 4 m )
F = 8 N
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a screen is placed 40.0 cm from a single slit, which is illuminated with light of wavelength 690 nm. if the distance between the first and third minima in the diffraction pattern is 2.60 mm, what is the width of the slit?
The width of the slit is 0.212 mm.
The wavelength of light is defined as “The distance between the two successive crests or troughs of the light wave”.
We know that the distance between minima is given by :
[tex]t = (m_{f} - m_{i} ) \alpha x/d[/tex]
where, t = distance between minima
[tex]\alpha =[/tex] wavelength
x = distance of screen
d = width of slit
[tex](m_{f} - m_{i} ) =[/tex] difference between minima
Given, x = 40 cm = 0.4 m
[tex]\alpha = 690 nm = 690 * 10^{-9} m[/tex]
t = 2.60 mm = [tex]2.60 * 10^{-3} m[/tex]
[tex](m_{f} - m_{i} ) =[/tex] 3 -1 = 2
Putting these values in above equation we get d = 0.212 mm
So the width of the slit is 0.212 mm.
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what is inertia.....
Answer: Inertia is an object’s resistance to a change in its motion. The greater the mass of an object, the greater the force needed to move it or stop it from moving.
Explanation: Hope this was helpful
a -kg bullet is fired with a velocity of 108.6 m/s toward a 5.99-kg block moving at a speed of 0.280 m/s in the same direction. the bullet emerges with a speed of 20.7 m/s and with a small piece of the block with a mass of 0.0016 kg sticking to it. what is the kinetic energy lost in the collision?
The speed of the bullet is 721m/s as it leaves
The speed of the bullet is 937m/s as it enters block 1 .
From the question, we have
+x direction is to the right (so all velocities are positive valued).
(a) Applying momentum conservation,
(0.0035kg)ν=(1.8035kg)(1.4m/s)
⇒ν=721m/s .
(b) We use momentum conservation to connect the moment the bullet initially contacts the first block to the moment it has passed through it (using the speed v from section (a)).
(0.0035kg)V =(1.20kg)(0.630m/s)+(0.00350kg)(721m/s)
V =937m/s .
Linear Momentum:
The product of an object's mass, m, and its velocity, v, is the vector quantity known as linear momentum. It is represented by the letter "p," which is also used to denote momentum. Please be aware that the body's momentum always points in the same direction as its vector of velocity. Because it is a conserved quantity, a system's overall momentum is always constant. kg/s is the unit of linear momentum.
Complete question:
a 3.50g bullet is fired horizontally at two blocks at rest on a frictionless table. The bullet passes through block 1 (mass 1.20kg ) and embeds itself in block 2 (mass 1.80kg ). The blocks end up with speeds ν 1=0.630m/s and ν2 =1.40m/s (Fig.9-58b). Neglecting the material removed from block 1 by the bullet, find the speed of the bullet as it (a) leaves and (b) enters block 1 .
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