The speed changes as a result of the energy being transferred into a container filled with magnetic marbles and the kinetic energy produced by the container's gentle shaking. Phase shifts will result from this.
The energy of a system changes together with each phase change it undergoes. These involve kinetic energy transmission to a system. Endothermic reactions occur when a condition changes from being more ordered to being less ordered. Exothermic reactions are always involved in transitions from one state to another that is more organised.
When a substance transforms from one state to another, a phase change occurs in the system. When the system receives enough energy or loses enough energy, these changes take place. Phase changes also happen when the system's pressure is altered.
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Complete Question:
Describe how does transferring energy into a container of magnetic marbles affect the speed by shaking the container gently?
suppose a particle moves back and forth along a straight line with velocity v(t), measured in feet per second, and acceleration a(t). a) what is the meaning of integral 60^120 v(t) dt? b) what is the meaning of integral 60^120 |v(t)| dt? c) what is the meaning of integral 60^120 a(t) dt?
a) In this part of the problem, we are calculating the integral of the velocity function from t = 60 seconds to t = 120 seconds.
b) Next, we have a similar integral. The velocity function is now, however, contained by absolute value bars. Our velocity function will only equal to positive values as a result.
c) The acceleration function is the subject of our last integral.
a) When we integrate a velocity function, we return to the position function. As a result, this integral is determining the particle's displacement by determining the difference in location between these two points.
b) The result of this integration will treat all traveled distances as positive values as well, even if the particle moves backwards. This integral will determine the overall distance travelled during this period, rather than the displacement between 120 and 60 seconds.
c) When we integrate an acceleration function, we return to the velocity function. Thus, this integral will calculate the total change in the velocity between 60 seconds and 120 seconds.
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the gas in a cylynder absorbs 850 kj of heat, and the subsequent expansion does 455 kj of work on the surroundings. what is the change in the systems internal energy
The change in the systems internal energy is 400KJ.
ΔE = Q - W
but, Qin > 0
Win < 0
ΔE = 850 - 450 = 400KJ
As with the static rest mass energy of its constituent matter, the internal energy cannot be readily measured, and knowledge of all of its components is rarely interesting. In contrast to its absolute value, the internal energy is only primarily concerned with changes in thermodynamics. Instead, it is typical to specify a reference state and gauge how a thermodynamic process differs from this state. Matter is transferred, energy is released as heat, or thermodynamic work is performed to change the internal energy. The system's attributes, including changes in temperature, entropy, volume, and molar composition, are used to measure these processes. The system is referred to as closed when matter transfer is inhibited by impermeable containment walls. Neither matter if the confining walls fail.
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the weight of a satellite on a planet's surface is w. which is closest to the weight of the satellite when it's in orbit?
The closest to the weight of the satellite when it's in orbit is 0
Because the surface does not apply any force to the body, it appears to have no weight.
All positions are comfortable since a body in a satellite requires no support to be at rest. We refer to this condition as weightlessness.
It will be challenging to control one's movement because, without weight, he will likely tend to drift aimlessly. He will have to push himself away from the walls or other permanent things in order to go from one place to another.
Because everything is falling freely, things are at rest in relation to one another. For example, if a table is removed from underneath an object, the object will stay in place without any support.
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compared to when the cosmic microwave background was first released, the radiation of the cosmic microwave background today is blank and has most of its photons at blank wavelengths.
The radiation of the cosmic microwave background today is blank and has most of its photons at longer wavelengths.
Gamma rays have extremely small wavelengths that are only a small portion of the size of atoms, whereas other wavelengths can extend as far as the universe because the relationship between wave frequency and wavelength is inverse. Although it isn't always stated explicitly, electromagnetic radiation's wavelengths are typically expressed in terms of the vacuum wavelength, regardless of the medium they are traveling through. Electromagnetic radiation's behavior is influenced by its wavelength. wavelength x frequency equals the speed of light. Energy equals Planck's constant times frequency. Wave number in cm equals 1/wavelength. A rough estimate of the wavelength size is shown along with the wavelengths of various regions of the electromagnetic spectrum.
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when making your turn you should accelerate at the apex of the turn. group of answer choices true false
The statement "when making your turn you should accelerate at the apex of the turn" is false.
It is generally not advisable to accelerate at the apex of a turn. In fact, it is generally recommended to slow down or maintain a constant speed while turning, in order to maintain control and avoid oversteering.
Accelerating at the apex of a turn can cause the vehicle to lose traction and potentially lose control. This is especially true if the surface is slippery or the vehicle is traveling at a high speed.
Instead of accelerating at the apex of a turn, it is generally recommended to gradually increase speed as the vehicle exits the turn, once it is back on a straight stretch of road. This allows the vehicle to maintain stability and control while turning, and helps to prevent accidents.
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the field of science that deals with the practical application of a liquid in motion is called .
The field of science that deals with the practical application of a liquid in motion is called fluid mechanics.
The fluid mechanics is the branch of science that deals with the practical application of a liquid when it is in motion or in rest.
Pascal's law, equation of continuity and Bernoulli's equation all comes under the study of fluid mechanics.
Fluid mechanics is the field of science because of which we are able to make the break of the vehicles hydraulic lift hydraulic press and many more things. We are able to make the Barometer, thermometer and many other things because of the practical applications of fluid mechanics.
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when electromagnetic energy travels from air into water, the waves are bent due to the density differences between the air and water. what is this bending called?
When a wave travels from one medium to another, its velocity (speed) changes, causing it to bend. This is known as refraction. The wave's frequency remains constant.
Refraction is the bending (and slowing down) of electromagnetic radiation's propagation direction as it passes through two denser substances. Electromagnetic waves transfer energy from one location to another through radiation. Starlight that is going through space could be this energy. Or perhaps your hands are being warmed by a campfire. A molecular substance's surface will curve when it comes into contact with another substance, creating a meniscus. Light slows down and somewhat changes direction as it passes through water from air.
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an object is placed just inside the focal point of a converging lens. describe the image (mark all that apply).
As you move the object closer and closer to the focal point, the image will become further and further away kind of image results from putting anything in front of the focal
A converging lens's focal point is just outside the image result for an item. explain the picture (mark all that apply).
In reality, it is possible to generalize that the image will always be situated behind the mirror whenever the item is situated between the focal point (F) and the mirror. In certain circumstances, the image will be larger than the thing and upright (not inverted).
Kind of image results from sandwiching an object between No image is created when the object is at the focal point. although the refracted beams do not converge or diverge. The light rays cannot create an image since they are moving parallel to one another after refractive error.
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how might it be helpful to know the difference between force and energy to understand the physics underlying a crash?
Work is the transmission of energy over a specific distance in one direction with the aid of a force. The force that operates at a specific distance is another name for energy.
Both of them fit the definition of a scalar unit. There must be a force and movement from one location to another for labor to take place.
Energy can be transmitted to or from an object when two things interact because of the forces that each one of the items applies to the other. For instance, the gravitational field energy of a system including the Earth and an object grows as energy is transmitted to the system when the object is raised. Power is the amount of work completed in a given amount of time. In order to learn new information and achieve higher exam scores, studying requires a lot of energy.
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A 34.5kg tree branch falls off of a cliff for a total of 12.09 s. What was the displacement of the tree branch?
Answer:
Assuming air resistance is neglected and the only force acting on the branch is the acceleration due to gravity, the answer is 716.709768 meters.
Explanation:
Since the initial velocity is 0, the displacement s, is simply written as :
s = (1/2)gt².
where g is the acceleration due to gravity.
in an average human, basic life processes require energy to be supplied at a steady rate of 100 w .What daily energyintake, in Calories, is required to maintain these basic processes?This is the minimum daily caloric intake needed to avoidstarvation.
The daily equivalent of 6.27 106 joules is 1500 calories, which the average person consumes daily. This is roughly equivalent to the energy needed to drive a car for 15 minutes.
Even while sleeping, a creature still needs energy. This is because our bodies continue to go through a variety of energy-intensive biological processes when we sleep.
Even when we are asleep, our hearts continue to beat in order to circulate blood throughout the body. Additionally, the heart requires energy to beat. As a result, the heart requires a constant flow of energy to function.
Therefore, 1 watt = 1 joule/second, so 100 w there needs to be 100 joules.
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is there an angle of incidence between 0∘ and 90∘ such that all of the light will be reflected?
A beam of light in the air encounters a transparent block with index of refraction n=1.53. Some of the light is reflected and some is refracted. There will be no such angle of incidence between [tex]$0^{\circ}$[/tex] and [tex]$90^{\circ}$[/tex] such that all of the light will be reflected.
In geometric optics, the angle of incidence is the angle between a ray incident on a surface and the normal, or line perpendicular to the surface at the point of incidence. Any type of wave, including microwave, X-ray, optical, and acoustic, may create a ray.
The refractive index of an optical medium is a dimensionless quantity that indicates how well that medium bends light in optics. The refractive index controls how much light is refracted or twisted when it enters a substance.
[tex]\begin{aligned}\mu & =\frac{1}{\sin c} \\c & =\sin ^{-1}\left(\frac{1}{\mu}\right) \\& =\sin ^{-1}\left(\frac{1}{1.53}\right) \\& =40.83\end{aligned}[/tex]
First condition it should be remembered that if the incident angle is from denser medium to rarer medium at or greater than [tex]$40.33^{\circ}$[/tex], all light will be reflected but in this Question, the condition is the opposite.
Hence, there should not be such an angle.
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The complete question should be:
A beam of light in the air encounters a transparent block with index of refraction n=1.53. Some of the light is reflected and some is refracted.
Is there an angle of incidence between [tex]$0^{\circ}$[/tex] and [tex]$90^{\circ}$[/tex] such that all of the light will be reflected?
(a) Yes, at an angle greater than [tex]50^{\circ}[/tex]
(b) Yes, at an angle less than [tex]50^{\circ}[/tex]
(c) No.
an object in free fall has a speed of 60 m/s. one second later its speed is
An object in free fall has a speed of 60 m/s. One second later its speed is 70m/s.
We're asked to find the speed of an object in free fall one second after it has a speed of 60m/s. An object in free fall means that the only force affecting its motion is gravity. To do this, we can use the equation
vy=v°y+ayt
where:
vy is the velocity at time (what we're trying to find) voy is the initial velocity (60m/s in this case, because it's assumed to be travelling downward, which is taken to be the negative y- axis) ay is the acceleration, equal to -g, which is 9.81m/s is the time, which in this case is 1 second.Plugging in known values, we have Vy=60m/s(9.81m/s²)(1s) =-70m/s rounded to 2 (or 1, technically) significant figures.
This the velocity of the object (which is why it includes a sign). The speed is simply the magnitude of this, which is a positive quantity.
speed = 70m/s
You also could have solved this problem neglecting the signs of the initial velocity and acceleration in the above equation:
speed = 60m/s +(9.81m/s²)(1s) = 70m/s
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Find the area of the region that lies inside both curves.
r^2 = 2 sin(2θ), r = 1
The area of the region that lies inside both curves r² = 2sin(2θ), r = 1 is -0.1287 square units.
Since the curves are:
r² = 2sin(2θ) and
r = 1.
We find their point of intersection.
So, r² = r²
= 2sin(2θ) = 1²
= 2sin(2θ) = 1
= sin(2θ) = 1/2
= 2θ = sin⁻¹(1/2)
= 2θ = π/6
= θ = π/12
Thus, we integrate the area from θ = 0 to θ = π/12
Now the area A of the region between two curves between θ = α to θ = β is =
= A = ∫ (r²-r'²) dθ [from 0 to π/12]
So, the area between the curves r² = 2sin(2θ), r = 1 between θ = 0 to θ = π/12 is =
= A = ∫ (r²-r'²) dθ [from 0 to π/12]
= A = (2sin2θ dθ - 1²) dθ [from 0 to π/12]
= A = 0.1278
So, the area of the region that lies inside both curves r² = 2sin(2θ), r = 1 is -0.1287 square units.
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a motorcycle has a mass of 250 kg. it goes around a 13.7 m radius turn at 96.5 km/h. what is the centripetal force on the motorcycle?
A motorcycle has a mass of 250 kg. it goes around a 13.7 m radius turn at 96.5 km/h. 9720 N is the centripetal force on the motorcycle.
To find the centripetal force on the motorcycle, we can use the formula for centripetal force:
F = m * a
where F is the centripetal force, m is the mass of the object, and a is the centripetal acceleration. To find the centripetal acceleration, we can use the formula for centripetal acceleration:
a = v^2 / r
where a is the centripetal acceleration, v is the velocity, and r is the radius of the curve. In this case, we know that the mass of the motorcycle is 250 kg, the velocity is 96.5 km/h, and the radius of the curve is 13.7 m. To find the centripetal acceleration, we need to convert the velocity from km/h to m/s. Since 1 km/h is equal to 1000 m/3600 s = 0.2778 m/s, the velocity in m/s is 96.5 km/h * 0.2778 m/s/km/h = 26.7 m/s.
For centripetal force and centripetal acceleration, we get:
F = m * a
= 250 kg * (v^2 / r)
= 250 kg * (26.7 m/s)^2 / 13.7 m
= 9720 N
Therefore, the centripetal force on the motorcycle is 9720 N.
Gravity is the centripetal force that drives astronomical orbits according to Newtonian mechanics. The tension of the rope provides the centripetal force on an object that is swinging around on the end of a rope in a horizontal plane. The rope illustration is a pull-related example. In some situations, such as when a wall's natural reaction serves as the centripetal force for a wall of death or a Rotor rider, the centripetal force can also be provided as a "push" force.
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if the distance of a galaxy is 5 mpc, what is its recessional velocity if the hubble constant is 70 km/s/mpc?
The distance of galaxy is given as 5Mpc. and the Hubble's constant is 70(km/s)/Mpc.
To find the recessional velocity of the galaxy
Hubble found that the tendency of recessional velocity is to increase with the distance of galaxy, therefore recessional velocity is directly proportional to the distance of the galaxy
The relation between recessional velocity and the distance of the galaxy can be expressed using Hubble's law.
substituting the values we get
V=70 (km/s)/ mpc [tex]\times[/tex]5Mpc
V = 350km,
Therefore the recessional velocity will be 350 km/s.
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two identical cylinders, a and b, contain the same type of gas at the same pressure. cylinder a has twice as much gas as cylinder b. which is true?
If both of cylinders contains same type of gas at same pressure, then a)
([tex]T_A < T_B[/tex]). So, correct option is a.
Gas regulation condition for any gas is as per the following .
PV = n×R×T (defined for n moles of gas )
Let the Pressure , volume , temperature and mole of gas in chamber A be P,V
T₁ and 2n . Pressure , volume , temperature and mole in chamber B will be
P , V , T₂ and n.
Applying Gas regulations , we get
For gas in chamber A
PV = 2n R T₁
For gas in chamber B
PV = n R T₂
Likening these conditions , we get
2n R T₁ = n R T₂
2 T₁ = T₂
or we can say that 2[tex]T_A[/tex]=[tex]T_B[/tex]
Hence, option a is correct.
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(Complete question) is:
Two identical cylinders, A and B, contain the same type of gas at the same pressure. Cylinder A has twice as much gas as cylinder B. Which is true? Two identical cylinders, A and B, contain the same type of gas at the same pressure. Cylinder A has twice as much gas as cylinder B. Which is true?
a)TA < TB
b)TA >TB
c) TA = TB
d)Not enough information to make a comparison.
A table tennis ball is dropped onto the flour from a height
€ 4m and It rebounds to a height of 3m. If the time of
ontact with the floor is o.ols, what is the magnitude and
irection of the acceleration during the contact.
The acceleration of the ball during the contact is 1652 m/s^2 in upward direction.
What is acceleration?
Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
The velocity of the ball before hitting the floor in downward direction:
u = √(2gs)
= √(2×9.8×4) m/s
= 8.85 m/s.
The velocity of the ball after hitting the floor in upward direction:
v = √(2gs)
= √(2×9.8×3) m/s
= 7.67 m/s.
Hence, the acceleration of the ball during the contact in upward direction is: a = change in velocity/time duration
= (7.67 - (-8.85))/0.01 m/s^2
= 1652 m/s^2
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what is the frequency of an electromagnetic wave that has the same wavelength as a 3.5 khzkhz sound wave in water?
7.095 × 10⁵ KHz is the frequency of an electromagnetic wave that has the same wavelength as a 3.5 KHz sound wave in water.
What is the frequency?The pace at which current changes direction each second is known as frequency. One hertz (Hz), which is a unit of measurement used internationally, equals one cycle per second. One hertz (Hz) is one cycle every second. A full alternating current or voltage wave is referred to as a cycle.
The number of waves that pass a specific place in a predetermined period of time is known as the wave frequency. A wave passes a fixed point in one hertz (Hz), the SI unit for wave frequency, in one second. A wave with a higher frequency has more energy than a wave with a lower frequency of the same amplitude.
Given that,
frequency = 3.5 KHz
As we know,
V = fλ
As, the electromagnetic wave that has the same wavelength, thus
V/f = constant
Therefore,
V₁/V₂ = f₁/f₂
now, f₁ = (V₁/V₂)× f₂
or, f₁ = [(3 × 10⁸) / 1480] × (3.5 × 10³)
or, f₁ = 7.095 × 10⁸ Hz
or, f₁ = 7.095 × 10⁵ KHz.
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find the volume of the solid that lies under the plane 4x+6y-2z+15=0 and above the rectangle
The solid that is located above the rectangle and beneath the plane 4x+6y-2z+15 has a volume of 51 liter.
The amount of space that a solid occupies is measured by its volume. The amount of unit cubes required to completely fill the solid serves as the measurement. There are 30 unit cubes total in the solid, hence the volume is 2 units. 3 units 30 cubic units from 5 units.
Formula for Solids Volume. Let's have a look at the volumes of all the three-dimensional solid shapes before we answer the problems based on the combination of solids. The formula for volume and surface area for a cuboid with dimensions of length (l), breadth (b), and height (h) is provided by: Volume = lbh.
[tex]4x+6y-2z+15=0\\2z=4x+6y+15\\z=2x+3y+ \frac{15}{2}\\[/tex]
The volume for the given solid is,
[tex]\\V= \int_{-1}^{1 } \int_{-1}^{2} \left ( 2x+3y+ \frac{15}{2} \right ) dy/dx\\V= \int_{-1}^{1 } \left [ \frac{2x^2}{2}+3xy+\frac{15x}{2} \right ]_{-1}^{2}\\V= \int_{-1}^{1 } \left [ x^2+3xy+\frac{15x}{2} \right ]_{-1}^{2}\\V= \int_{-1}^{1 } \left [ 2^2+3*2y+\frac{15*2}{2}-\left ( (-1)^2+3*-1y+\frac{15*-1}{2} \right ) \right ]\\[/tex]
[tex]V= \int_{-1}^{1 } \left [ 4+6y+\15-\left ( 1-3y-\frac{15}{2} \right ) \right ]\\V= \int_{-1}^{1 } \left [ 4+6y+\15- 1+3y+\frac{15}{2} \right ]\\V= \int_{-1}^{1 } \left [ 3+9y+\frac{45}{2} \right ]\\V= \int_{-1}^{1 } \left [ 9y+\frac{51}{2} \right ]\\V= \left [ \frac{9y^2}{2}+\frac{51 y}{2} \right ]_{-1}^{1 }\\V= \left [ \frac{9*1^2}{2}+\frac{51 *1}{2}-\left ( \frac{9*(-1)^2}{2}+\frac{51 *-1}{2} \right ) \right ]\\[/tex]
[tex]V= \left [ \frac{9}{2}+\frac{51 }{2}-\left ( \frac{9}{2}-\frac{51}{2} \right ) \right ]\\V= \left [ \frac{9}{2}+\frac{51 }{2}- \frac{9}{2}+\frac{51}{2} \right ]\\V= \left [ \frac{51 }{2}+\frac{51}{2} \right ]\\V= 51[/tex]
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in bohr’s model, the energy of a photon absorbed or emitted by the electron will be equal to:
in Bohr’s model, the energy of a photon absorbed or emitted by the electron will be equal to "The difference in orbital energies associated with the transition".
The Bohr model, also known as the Rutherford-Bohr model, was first proposed by Niels Bohr and Ernest Rutherford in 1913 and describes an atomic system with an orbiting system of electrons and a small, dense nucleus that is similar to the Solar System in structure but is attracted by electrostatic forces rather than gravity.
Bohr's model helped to explain how electrons could only change orbits by exchanging or absorbing energy in fixed quanta. For instance, if an electron jumps into an orbit that is one orbit closer to the nucleus, it will have to expel energy equal to the energy difference between the two orbits.
The energy of energy level is connected to the energy photon that an electron absorbs or emits.
∆E = hf, where f is the frequency of radiation received or released during the electronic transition and h is the plank constant
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What is the best response that shari’s friend could make? she could agree with shari because the pendulum is at the same height and would have the same gravitational potential energy at both positions. she could agree with shari because the pendulum has the same amount of mechanical energy throughout its swing. she could disagree with shari because the pendulum converts kinetic energy into gravitational potential energy, then back into kinetic energy. she could disagree with shari because the pendulum converts gravitational potential energy into kinetic energy, then back into gravitational potential energy.
The best response that shari’s friend could make was that She could disagree with Shari because the pendulum converts gravitational potential energy into kinetic energy, then back into gravitational potential energy.
What is the pendulum's greatest potential?The ball is momentarily immobile at the height of the swing. Due to its elevated position above the surface, it possesses the maximum potential energy. The system of the ball on the pendulum string has the same overall quantity of energy at every point in the swing.
The pendulum's energy is continuously transformed from gravitational potential to kinetic, and vice versa. The pendulum on the left swings more quickly than the pendulum on the right because shorter pendulums swing more quickly than larger ones do.
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the white dwarf at the center of the helix nebula has a mass three times the mass of our sun.
Three times as massive as the Sun is the white dwarf star in the heart of the Helix planetary nebula. False The Chandrasekhar mass, or 1.4 solar masses, is the white dwarf's maximum mass.
White dwarf stars typically last between 100,000 and 10 billion years and have masses between 0.1 and 1.4 that of the Sun. To balance their mass, white dwarf stars no longer produce energy. White dwarf stars, like Sirius B, Procyon B, or Van Maanen, are limited in mass theoretically to 1.4 solar masses.
A star core remnant known as a white dwarf is primarily made up of electron-degenerate materials. A white dwarf is extremely dense; it has a mass similar to that of the sun.
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Disregarding air resistance, what is the speed of a ball dropped from 12 feet just before it hits the ground? (Use 1 ft = 0.30 m, and use g = 9.8 m/s2.)
2.4 m/s
8.4 m/s
10.8 m/s
15.3 m/s
Answer:
[tex]8.4\; {\rm m\cdot s^{-1}}[/tex].
Explanation:
Let [tex]x[/tex] denote the displacement of the ball. It is given that [tex]x = 12\; {\rm ft}[/tex]. Apply unit conversion and ensure that the displacement [tex]x\![/tex] of the ball is measured in meters:
[tex]\begin{aligned}x &= (12\; {\rm ft})\, \frac{(0.30\; {\rm m})}{(1\; {\rm ft})} = 3.6\; {\rm m}\end{aligned}[/tex].
Let [tex]u[/tex] denote the initial velocity of the ball, and let [tex]v[/tex] denote the velocity of the ball right before it hits the ground. Note that since the question states the ball was "dropped", assume that the ball was initially at rest with initial velocity [tex]u = 0\; {\rm m\cdot s^{-1}}[/tex].
Under the assumptions, the acceleration [tex]a[/tex] of the ball will be constantly [tex]a = g = 9.8\; {\rm m\cdot s^{-2}[/tex].
Rearrange the SUVAT equation [tex]v^{2} - u^{2} = 2\, a\, x[/tex] to find the final velocity [tex]v[/tex] of the ball right before landing:
[tex]\begin{aligned}v &= \sqrt{u^{2} + 2\, a\, x} \\ &= \sqrt{(0\; {\rm m\cdot s^{-1}})^{2} + 2\, (9.8\; {\rm m\cdot s^{-1}})\, (3.6\; {\rm m})} \\ &= 8.4\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].
Answer: B (8.4 m/s)
Explanation:
SOMEONE PLEASE HELP ME!!!
The velocity-time graph for an object is shown. How can the total displacement of the object be determined?
Answer:
Below
Explanation:
The area under the graph will represent the displacement .
Remember displacement = velocity * time
so the total displacement will be Area 1 - Area 2
Which phrase describes a risk associated with producing energy in a nuclear power plant?
Answer:
Production of wastes needing long-term storage
Explanation:
a solid sphere of mass m and radius r rolls without slipping along a table at speed v. what is its kinetic energy? (given for solid sphere i
The kinetic energy of a solid sphere is (1/2)mv² + [(2/5)mr²] × ω² × r for having mass m and radius r rolls without slipping.
We know that if property of sphere is defined, it means that linear and rotational kinetic energy is possible.
For rotational energy, we need to know about moment of inertia and angular acceleration.
For solid sphere moment of inertia is given by the expression=(2/5)mr² where m is the mass and r is the radius of the sphere
Now, we know that for angular acceleration we need angular velocity which can be calculated by the linear velocity which can be calculated by the formula
v=ω×r where v is the linear velocity ,ω is angular velocity and r is the radius of the object.
So,ω=v/r
Now we know that angular acceleration(α)=ω² × r
Therefore, rotational energy is =I × α = [(2/5)mr²] × ω² × r
Now, we know that kinetic energy is given by =(1/2)mv² where m is the mass and v is the velocity of a solid sphere.
So, kinetic energy of sphere is =linear kinetic energy + rotational kinetic energy
=>kinetic energy = (1/2)mv² + [(2/5)mr²] × ω² × r
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the system moves upward with a constant velocity of 10 ft/s. what is the reading on the bathroom scale (in pounds)
The reading on the bathroom scale is W = 230 lbs.
Solution:
Since acceleration is zero, so weight remains the same on scale
W = 230 lbs
Acceleration is the rate of change of velocity over time, both in terms of velocity and direction. A point or object moving in a straight line accelerates as it accelerates or decelerates. Circumferential motion is accelerated because it always changes direction even at constant velocity.
Acceleration is the change in velocity over time. Whenever a change in velocity or acceleration in the direction of movement occurs. At constant velocity, acceleration is zero. Deceleration is called negative acceleration or deceleration.
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explain the effects of scattering of visible light on optical effects such as sky color and darkness of shadows
The more the scattering of photons by small particles (such as molecules, microscopic water droplets, and dust particles), the shorter their wavelength.
Since short wavelengths dominate in dispersed light, the sky seems blue there while direct sunlight is more yellowish or even reddish when the sun is low in the sky. When light interacts with the environment to produce vivid and colorful displays, this is known as an optical effect. Tiny particles in the atmosphere cause optical phenomena. Sunlight is reflected, refracted, and scattered as it travels through the atmosphere by water droplets, ice crystals, and dust particles. Refraction of light waves can split white light into distinct colors and produce visual effects.
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the cosmic microwave background is almost perfectly uniform in all directions, except for very small deviations in its temperature. what do scientists think these small deviations represent?.
a. varying redshift and blueshift due to motions of gas in the early universe
b. region of slightly higher helium abundance in the early universe
c. the warmer spots represent regular matter and the cooler spots represent dark matter
d. regions of slightly density that made it possible for galaxies form
In a case whereby cosmic microwave background is almost perfectly uniform in all directions, except for very small deviations in its temperature. what the scientists think these small deviations represent is d. regions of slightly density that made it possible for galaxies form.
What is the cosmic microwave background?The Cosmic Microwave Background can be descibed as the cooled remnant of the first light which could ever travel freely throughout the Universe it can be seen as the 'fossil' radiation, which an be considered as the furthest that any telescope can see.
It should be noted that the density i can be of two types, whereby one is absolute density, and the other is relative density hgowever the Relative density can be described as the specific gravity, and this is the ratio of the density of a material to the density of reference material.
Therefore, option D is correct.
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