The maximum transverse acceleration of a point on a wire is closest to 4.7*10³ m/s².
Calculation :
The maximum transverse acceleration ,
A = 3.7mm = 3.7*10⁻³ m
a=Aw²
w = 2πf
=(2π)(570)
w = 3.581*10³
w² = 12.826*10⁶
a = (3.7*10⁻³ m)(12.826*10⁶)
a = 4.7*10³ m/s².
In mechanics, acceleration is the price of exchange of an item's pace with appreciate to time. Acceleration is a vector quantity (as lengthy because it has magnitude and direction. The direction of an item's acceleration is given by means of the path of the net pressure performing on that object. As described in Newton's second law. the significance of an object's acceleration is the combined effect of two assets.
Acceleration inside the car's contemporary route of journey is known as linear (or tangential, within the case of circular movement) acceleration, and the passenger perceives that response as pushing returned into the seat. Acceleration acting while changing direction is called radial (or centripetal in the case of circular motion) acceleration, and passengers revel in the response as centrifugal pressure.
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a thin, straight, uniform rod of length 1.10 m and mass 250 kg hangs from a pivot at one end. what is its period for small-amplitude oscillations?
The period for a small amplitude oscillation on a thin, straight, uniform rod 1.10 m long and 250 kg mass hangs from a pivot at one end = 2.09 s.
Harmonic vibrationHarmonic vibration is the alternating motion of an object through an equilibrium point that has a fixed frequency and period. An example of harmonic vibration is a pendulum.
Period (T) is the time needed to do one vibration. Meanwhile, the frequency (f) is the number of vibrations that occur in one second. The period and frequency of the pendulum depend on the length of the string and the acceleration due to gravity, and are independent of the mass of the pendulum. The period and frequency of the pendulum can be expressed using the following equation:
T = 2[tex]\pi[/tex][tex]\sqrt{\frac{L}{g} }[/tex]
f = [tex]\frac{1}{2\pi }[/tex] [tex]\sqrt{\frac{L}{g} }[/tex]
Where,
T = period (s)
f = frequency (Hz)
L = length (m)
g = acceleration of gravity (9.8 m/s²)
We have,
L = 1.10 m
So,
T = 2[tex]\pi[/tex][tex]\sqrt{\frac{L}{g} }[/tex]
= 2[tex]\pi[/tex][tex]\sqrt{\frac{1.10}{9.8} }[/tex]
= 2.09 s
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Rank the following areas in order of largest to the smallest change in average temperature since 1880.a. Northern Canadab. Western Europec. Southern Africad. Australiae. Eastern Pacific Oceanf. Antarctic Ocean
The geographical regions in different parts of the world are always characterized by different average temperatures during different given periods of time. Moreover, these average temperatures may increase or decrease, which depends on a lot of external geographical factors. The data representing the same has been mentioned above.
Since in 1880, the oceans can be sorted from largest to smallest based on their average temperature change. The order can be kept as-
1. Northern Canada
2. Western Europe
3. Australia
4. Southern Africa
5. Eastern Pacific Ocean
6. Antarctic Ocean
Therefore, the above order is the descending order of the area based on change in the temperature.
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mechanical energy is select one because the roller coaster select one energy due to friction and air resistance as it travels down the track.
Mechanical energy is not conserved because the roller coaster loses energy due to friction and air resistance as it travels down the track.
Mechanical energy refers to the sum of kinetic energy and potential energy. It refers to the energy of an object in motion or the energy that is stored in objects by their position. In a system, mechanical energy is constant when there are only gravitational forces acting in it or it is in an otherwise idealized system – a system which is lacking or reasonably negligible dissipative forces, such as friction and air resistance. Hence, mechanical energy is conserved when there are no frictional forces acting on the system. As the roller coaster loses energy due to friction and air resistance as it travels back down the track, the mechanical energy is not conserved.
Note: The question is incomplete. The complete question probably is: Mechanical energy is (conserved, not conserved) because the roller coaster (loses, gains) energy due to friction and air resistance as it travels down the track.
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provide a procedure how to solve the related rate problem: a l foot ladder is resting in a wall and start slipping along the wall at a rate of k m/sec. how fast is the based of the ladder moving away from the wall when the ladder is at the high h meters?
There are two methods:
Pythagorean Theorem
Take the Derivative with Respect to Time
Pythagorean theorem:
Let's name the horizontal distance from the wall to the bottom of ladder h, and the vertical distance from the ground to the top of ladder y. Then, because the ladder is l feet long, we may know at any time
This statement expresses the connection between
h² + y² = l²
the quantity you want (something about the vertical position of the ladder's top, y), and the quantity you've been given (something about the horizontal location of the ladder's bottom, x).
Take the Derivative with Respect to Time
h² + y² = l²
d/dt [h² + y²] = d/dt[l²]
2x dh/dt + 2y dy/dt = 0[*]
The last statement provides the necessary relationship between the unknown dy/dt and the known dh/dt.
So, once again, the problem is virtually solved.
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Which electromagnetic radiation wavelength is efficiently observed using ground based telescopes?
The majority of electromagnetic energy from space cannot reach the Earth's surface. The only light that reaches sea level is radio waves, visible light, and some ultraviolet light.
Some infrared wavelengths can be observed by astronomers by mounting telescopes on mountain peaks. The majority of space-derived electromagnetic radiation cannot reach the surface of the Earth due to the atmosphere. This diagram demonstrates how deep into the atmosphere various EM spectrum wavelengths can go before being absorbed. Radio and visible light only partially make it to the surface.A typical natural eye can detect frequencies between 380 and 750 nanometers. This contrasts with a band nearby 400-790 terahertz in terms of repetition. These restrictions are not specifically stated and may vary from person to person. These limits of human insight can extend to wavelengths of 310 nm (bright) and 1100 nm under perfect conditions (close to infrared).To know more about electromagnetic energy
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From the point of view of conductive heat loss, which adaptations would be beneficial to animals living in extremely cold climates? A. Large surface area
B. Lots of tissues, like fat, with low thermal conductivity
C. Lots of tissues, like muscle, with high thermal conductivity
D. Thick skin
E. Thin skin
F. Small surface area
The Correct answer is B, D, F. From the point of view of conductive heat loss, which adaptations would be beneficial to animals living in extremely cold climates
rate of heat loss = K*A*delta T / L
where A: surface area
L: the thickness of the tissue
K: thermal conductivity
High K, A value increases the rate
High L will decrease the rate
the rate should be low.
In thermodynamics, heat is defined as the shape of power crossing the boundary of a thermodynamic gadget through the distinctive features of a temperature difference across the boundary. A thermodynamic device does not contain warmness. nonetheless, the time period is also regularly used to consult the thermal electricity contained in a system as an element of its internal electricity and that is contemplated inside the temperature of the device. For each makes use of the time period, heat is a shape of strength.
Warmth is power in the switch to or from a thermodynamic gadget, by a mechanism that includes the microscopic atomic modes of movement or the corresponding macroscopic properties.
The measurement of strength transferred as heat is referred to as calorimetry, done via measuring its impact on the states of interacting bodies. for example, warmness may be measured by means of the quantity of ice melted, or through trade in the temperature of a frame inside the environment of the machine.
inside the international gadget of units (SI) the unit of dimension for heat, as a shape of electricity, is the joule (J).
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if the pendulum is taken into the orbiting space station what will happen to the bob?
If the pendulum is taken into orbiting space it will continue to oscillate in a vertical plane with the same period.
Oscillation is the repetitive or periodic variation, normally in time, of some degree about a central price or among two or extra exclusive states. Acquainted examples of oscillation include a swinging pendulum and alternating present-day.
Oscillatory movement is defined because of the to and fro movement of the body about its constant function. An oscillatory movement is a form of periodic motion. Examples of oscillatory motion are vibrating strings, swinging of the swing, and so on.
As the pendulum acts closer to the other quit of its swing, all of the kinetic energy turns returned into potential power.
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What is the formula for internal energy change?
The formula of internal energy change is dU=nCdT and dU=q-w
In thermodynamics, the property or function of state that defines the energy of matter in the absence of the effects of capillarity and external electric, magnetic, or other fields.
Like other functions of state, the value of energy depends on the state of matter and not on the nature of the process by which matter reaches that state.
According to the first law of thermodynamics, when a system changes state by a process involving only work, work equals the change in internal energy.
This law also implies that if both heat and work are involved in a system's change of state, the change in internal energy is equal to the heat applied to the system minus the work done by the system.
dU=nCdT
dU=q-w
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A piano tuner stretches a steel piano wire with a tension of 765 n. the steel wire has a length of 0.900 m and a mass of 6.75 g. What is the frequency fi of the string's fundamental mode of vibration?
Fundamental Frequency of the String is 177.42 Hz.
What does "frequency of a wave" mean?The quantity of waves emitted by a source per second is known as a wave's frequency. Additionally, it is the quantity of waves per second that pass a specific spot. The hertz is a measure of frequency (Hz).
How can you determine a wave's frequency?The equation f=v f = v, where is the wavelength in meters and v is the wave speed in m/s, can be used to determine the frequency of a wave if the wavelength and speed of the wave are known. This also provides the wave's frequency in Hertz.
The Tension in the String is 765 N.
Steel wire length L is 0.900 m
Mass of the string m is 6.75 g = 6.75 * 10^-3 kg.
Frequency of the string = n *(Velocity of the wave on the String/(2L) )
v = 319.37 m/sec
For Fundamental Frequency n = 1
Frequency = V / 2L
f = 319.37 / (2*0.9)
f = 177.42 Hz
How do frequency and wavelength differ?The wavelength, which will also apply to troughs, is the separation between two wave crests. The frequency is measured in cycles per second (Hz), which is the quantity of vibrations that cross a specific area in a second (Hertz).
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Describe the two dimensions of the motion of an object in a circle due to centripetal force.
Circular motion in two dimensions can be analyzed using an equation involving the radius of the object from a specific point and the time required for the object to revolve around the point once.
A centripetal force is a force that causes a body to move in a circular motion. Its direction is always orthogonal to the body's motion and towards the fixed point of the path's instantaneous center of curvature. Centripetal force is the force acting on a curvilinear object that is directed toward the axis of rotation or the center of curvature.Kinematics is the study of body motion and the relationships between position, velocity, and acceleration. We can analyze circular motion as an oscillatory motion on the x-axis and another on the y-axis, both with the same angular velocity. If the two displacements are the same, the movement is circular; otherwise, the movement is elliptical.As a result, a movement in multiple dimensions can be broken down into multiple movements, one in each dimension.To know more about motion visit:
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How much energy is in the elastic potential energy store of a spring?
The elastic potential energy of a spring is the product of one-half of its spring constant and the square of its deformation.
The potential energy of the spring is defined as the potential energy stored as a result of the change in the shape of a particular elastic object or a spring.
The energy is stored before the force is removed, and the spring comes back to its original shape. It does work in the process. The deformation could involve compressing, stretching, or twisting the object.
It is calculated as the work done in stretching the spring, and it depends on the spring constant k, and the distance stretched.
The potential energy formula of a spring is given as
P.E = ½ k x2
Where,
k = the spring constant
x = the spring displacement
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The wavelength of blue light is greater than red light and its energy is greater. (True or False)
Blue light has shorter wavelengths, 450–495 nanometres, on average. Blue light has a higher frequency and much more energy than red light. The wavelength of blue light is greater than red light and its energy is greater is false.
The wavelength of an electromagnetic wave provides details about its length. The distance here between "crests" (tops) of related waves is known as the wavelength. The same wavelength can also be determined by making observations from the "groove" (bottom) from one waveform to the "trough" of the next.
Examples of electromagnetic fields with particular wavelengths & greater frequency include gamma rays, Cross, and ultraviolet light. Longer wavelengths & lower harmonics of electromagnetic fields include thermal light, microwaves, radio signals, and televisions waves.
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Consider the free-body diagram for an object accelerating across a surface. The object has a mass of 2.35-kg. There is a forward thrust force of 45.7 N. The coefficient of friction between the object and the surface is 0.570. Determine the...
Based on the free-body diagram, the mass, and the force acting on the object:
The normal force on the object is 23.05 NThe frictional force is 13.1 NThe net force on the object is 9.55 NThe acceleration of the object is 4.06 m/s²What is frictional force?Frictional force is the force that opposes the relative motion of an object over another.
Frictional force is a contact force that acts at the surface of contact between two objects.
Considering the given data about the object:
The normal force on the object is calculated below:
Normal force = mass * acceleration due to gravity, g
g = 9.81 m/s²
normal force = 2.35 * 9.81
normal force = 23.05 N
The frictional force = coefficient of friction * normal force
The frictional force = 23.05 * 0.57
The frictional force = 13.1 N
The net force on the object = 45.7 - (23.05 + 13.1)
The net force on the object = 9.55 N
The acceleration of the object = net force / mass
The acceleration of the object = 9.55 / 2.35
The acceleration of the object = 4.06 m/s²
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an fm radio station has a frequency of 96.7 mhz. what is the corresponding wavelength to this radio station?
we can solve this by the formula of frequency,
f⋅λ=c
f = frequency
λ = wavelength
c = speed of Electromagnetic radiation in vacuum
(96.7×10⁶Hz) ⋅λ=3.00×10⁸m/s
λ= 3.1 m
the wavelength is 3.1m
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If the acceleration of the body is towards the center what is the direction of the unbalanced force.
If the acceleration of the body is towards the center, the direction of the unbalanced force is also toward the center.
According to the Newton's 2nd law of motion, the direction of the acceleration is the same as the direction of the net force.
Hence, if the acceleration of the body is towards the center, the direction of the unbalanced force is also toward the center.
This is called a centripetal force and its direction is always toward the center. The magnitude of the force is given by:
F = mv²/r
Where:
F = centripetal force
m = mass of the object
v = tangential velocity
r = radius of the circle trajectory
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a 83.0-kg person is riding in a car moving at 20.0 m/s when the car runs into a bridge abutment. calculate the average force on the person if he is stopped by a padded dashboard that compresses an average of 1.00 cm.
The average force applied to the person when he stopped by a padded dashboard is 166×10⁴ N.
An external force is an agent that has the power to alter the body in moving or resting conditions. It can also be described as a push or a pull. It is a vector quantity so it has both direction and magnitude.
The formula to calculate the force applied on an object is F=m×a. Where F is force, a is the acceleration, and m is the mass of an object,
Given mass (m) is 83 kg, initial velocity (u) is 20 m/s, and displacement (s) is 1 cm.
When the dashboard is compressed to stop a car, then the acceleration is calculated using the formula v²=u²+2as where v is final velocity, u is initial velocity, a is acceleration, and s is displacement. Initially, the final velocity is zero. Solving we get,
[tex]\begin{aligned}0&=u^2+2as\\u^2&=-2as\\20^2&=-2\times a\times0.01\\a&=\mathrm{-20000\;m/s^2}\end{aligned}[/tex]
The negative sign indicates that the car is slowing down or decelerating.
The average force on the person riding the car is given by,
[tex]\begin{aligned}F&=83\times 20000\\&=\mathrm{166\times 10^4\;N}\end{aligned}[/tex]
The answer is 166×10⁴ N.
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An ostrich with a mass of 163 kg is running to
the right with a velocity of 14 m/s.
Find the momentum of the ostrich
Answer in units of kg · m/s.
The momentum of the ostrich is determined as 2,282 kg m/s.
What is momentum?
The momentum of an object is defined as the product of mass and velocity of the object.
The momentum of the ostrich running at the given velocity is calculated by applying the following formula as shown below.
P = m v
where;
m is the mass of the ostrichv is the velocity of the ostrichP = 163 kg x 14 m/s
P = 2,282 kg m/s
Thus, the momentum of the ostrich is a function of mass of the ostrich and velocity of the ostrich.
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If Emily throws the ball at an angle of 30˚ below the horizontal with a speed of 12m/s, how far from the base of the dorm should Allison stand to catch the ball?
Assume the vertical distance between where Emily releases the ball and Allison catches it is 4.0m
Answer:
5 m
Explanation:
Allison is 4 m LOWER than Emily
vertical component = 12 * sin(-30) = - 6 m/s
vertical distance equation
d = do + vot + 1/2 at^2
- 4 = 0 + -6 t + 1/2 (-9.81) t^2
- 4.905 t^2 - 6t + 4 = 0 Use Quadratic Formula to find t =.479 s
So the ball flies with its HORIZONTAL component for .479 s then Alli catches it
Horizontal component = 12 cos(- 30) = 10.4 m/s
10.4 m/s * .479 s = 4.977 =~ 5 m
Refer to the photo taken.
Answer: 4.98m
A car goes around a circular track at 30 m/s. If the radius of the curve is 90 m, what is the centripetal acceleration of the car in m/s2 ?.
The centripetal acceleration of the car on the circular track is found to be 10m/s².
The car is running on a circular track at a speed of 30m/s. The radius of the circular curve is 90 m.
The centripetal acceleration of the car is given by the relation,
a = v²/r
Where is the centripetal acceleration we is the speed of the car and R is the circular radius of the curve,
Putting values,
a = (30)²/90
a = 10m/s²
So, the centripetal acceleration of the car is 10m/s².
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how can an emperor penguin on the outer edge of a huddle conserve heat as efficiently as a penguin in the middle of the huddle?
The penguin that is currently on the outside of the group will eventually be in the middle. Because huddles are dynamic structures, no penguin can stay on the edge for very long.
While swimming in the ocean, a penguin's fat coat shields them from the cold. However, on land, their feathers serve as a means of heat retention. Instead of being long and flat like those of flying birds, penguin feathers are short and contain an underlayer of soft, woolly down. When a penguin comes out of the water, its feathers are excellent at shedding water. They cross each other, creating a good streamlined effect in the water and excellent wind-shedding properties on land. Penguins can puff their feathers out when it's extremely cold to capture more air and provide better insulation.
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what objects looked mostly like stars when first discovered, but turned out to be much farther away and trillions of times brighter than stars?
Quasars are objects that looked mostly like stars when first discovered but turned out to be much farther away and trillions of times brighter than stars.
A quasar is an astronomical object with a very high brightness that may be found in some galaxies' centers and is fueled by gas spiraling quickly into an enormous black hole.
Compact objects called quasars are found outside of our galaxy. They shine more brightly than 100 galaxies put together, but since they are so far away, it takes several billion years for their light to reach Earth.
This suggests that most galaxies, including the Milky Way, may have experienced an active phase during which they appeared as quasars or another type of active galaxy depending on the black-hole mass and accretion rate, and are now quiescent because they lack a supply of matter to feed into their central black-hole.
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the sun delivers an average power of 1.529 w/m2 to the top of neptune's atmosphere. find the magnitudes of max and max for the electromagnetic waves at the top of the atmosphere.
The magnitudes of Emax and Bmax for the electromagnetic waves at the top of the Neptune's atmosphere are 33.95 N / C and 11.31 * 10⁻⁸ T respectively.
I = ( Emax )² / ( 2 μo c )
I = Intensity
Emax = Maximum Electric field
μo = Absolute permeability of free space
c = Speed of light
μo = 4π * 10⁻⁷ H / m
c = 3 * 10⁸ m / s
I = 1.529 W / m²
Emax² = I * 2 μo c
Emax² = 1.529 * 2 * 4π * 10⁻⁷ * 3 * 10⁸
Emax² = 1152.25
Emax = 33.95 N / C
I = c Bmax² / ( 2 μo )
Bmax² = 2 μo I / c
Bmax² = ( 2 * 4π * 10⁻⁷ * 1.529 ) / ( 3 * 10⁸ )
Bmax² = 128 * 10⁻¹⁶
Bmax = 11.31 * 10⁻⁸ T
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a moving car has 40,000 j of kinetic energy while moving at a speed of 7.0 m/s. a spring-loaded automobile bumper compresses 0.30 m when the car hits a wall and stops. What can you lean about the bumpers spring using the information?
The bumper's spring constant is 8.9 × 10^5 N/m.
Given that energy wasn't lost from the point when the car had 40,000 J of KE to when it impacted the wall, i.e. the energy was perfectly conserved (assumption)
The kinetic energy of the car would be converted to the Elastic potential energy of the bumper spring. According to the law of conservation of energy.
K.E = Elastic P.E = (1/2)kx^2. .....1
Where;
k = bumper spring constant.
x = compression length of spring.
From equation 1
k = 2K.E/x^2
K.E = 40,000J
x = 0.30m
k = 2(40000)/(0.30^2)
k = 80000/0.09
k = 888,888.89N/m
k = 8.9 × 10^5 N/m
So the bumper's spring constant is 8.9 × 10^5 N/m.
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objects that radiate relatively well group of answer choices absorb radiation relatively well. reflect radiation relatively well. absorb and reflect radiation well.
They absorb radiation relatively well.
All bodies continuously emit and absorb radiation.
The rate of loss of heat from an warm object is proportional to temperature.
The perfect example of good emitter and absorber is black body, whereas a very shiny surface will be a poor emitter and absorber.
The intensity of radiation increases as body gets hotter and radiation is released.
Stars are also considered the best example of black body radiation.
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what fraction of ice is submerged when it floats in freshwater, given the density of water at 0 c is very close to 1000 kg / m3
The fraction of ice submerged when it floats in freshwater is 0.9.
Given that,
The density of water is 1000 kg/m³
The density of ice is 0.917 gm/cm³
Converting gm/cm³ to kg/m³
We get, 0.917 gm/cm³ = 917 kg/m³
Let ρ₁ = 1000 kg/m³, ρ₂ = 917 kg/m³
V₁ = Volume of water displaced = x V₂
V₂ = Volume of ice submerged
Archimedes principle states that buoyant force on the ice will be equal to the weight of the water displaced. It can be written as an equation as:
ρ₁ V₁ = ρ₂ V₂
V₁ = ρ₂ V₂/ ρ₁
x V₂ = 917 *V₂/ 1000
x = 0.9
Thus, the fraction of ice submerged in water is 0.9.
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calculate the potential energy of a 40 gram sparrow resting on a branch 30 feet above the ground
Answer:
1.43 J
Explanation:
PE = mgh = (0.04 kg)(9.80 m/s2)(3.6576 m) = 1.43 J
You have to convert g to kg, and feet to m
the temperature of a blackbody radiator is increased. what will happen to the most intense wavelength of light emitted as this increase occurs?
Answer:
As the temperature of a blackbody radiator is increased, the most intense wavelength of light emitted will shift to shorter wavelengths. This is because the emission spectrum of a blackbody radiator is a function of its temperature, and as the temperature increases, the peak of the emission spectrum will shift to shorter wavelengths.
This phenomenon is known as Wien's displacement law, which states that the most intense wavelength of light emitted by a blackbody radiator is inversely proportional to its temperature. In other words, as the temperature increases, the most intense wavelength of light will decrease. This shift can be observed in the emission spectra of different objects, such as the sun, which has a peak emission at shorter wavelengths (in the visible range) at higher temperatures.
Explanation:
A moving car has 40,000 \mathrm{J}40,000J of kinetic energy while moving at a speed of 7.0 \mathrm{m} / \mathrm{s}7.0m/s. A spring-loaded automobile bumper compresses 0.30 \mathrm{m}0.30m when the car hits a wall and stops. What can you learn about the bumper’s spring using this information? Answer quantitatively and list the assumptions that you made.
Assuming the car stops instantaneously and that the spring is the only force acting against the car's kinetic energy:
When the car hits the wall, the spring-loaded bumper compresses 0.30 m. This means that the spring must have exerted a force on the car in the opposite direction of its motion.
The spring must have stored a minimum of 286,000 J (40,000 J of kinetic energy + 0.3 m of potential energy) of energy to bring the car to a stop.
Assumptions:
- The car stops instantaneously
- The spring is the only force acting against the car's kinetic energy
- The spring is linear (i.e. Hooke's Law applies)
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Most of the radiation released from the failed nuclear reactor was from fission products.
a. True
b. False
Most of the radiation released from the failed nuclear reactor was from fission products is a true statement.
What is fission reaction?
Fission happens once a nucleon slams into a bigger atom, forcing it to excite and split into 2 smaller atoms—also called fission product. extra neutrons also are free which will initiate a sequence reaction. once every atom splits, an amazing quantity of energy is released
Most of the radiation released from the failing apparatus was from fission products iodine-131, cesium-134 and cesium-137. atomic number 53 features a comparatively short half-life of eight days, in line with UNSCEAR, however it's quickly eaten through the air and tends to localize within the thyroid gland.
In the atomic power plant, a specific style of radiation called ionising radiation, that may be a type of energy that is capable of removing electrons from atoms, is emitted each naturally from U and as a part of the fission process.
Therefore, the statement, "most of the radiation released from the failed nuclear reactor was from fission products" is a true statement.
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given the mass of the rubber in the balloon is 1.80 grams, what is the net vertical force on the balloon if it is let go? consider the buoyant force on the balloon, and the weight of the rubber and the helium inside the balloon. the volume of the rubber itself is negligible.
The buoyant force on a a 2.00-L helium balloon is 0.024 N.
And the vertical force on the balloon 0.0176 N.
The buoyant forceThe buoyant force is the upward force exerted against the weight of the immersed object.
The buoyancy equation is:
Fb = ρgV
(ρ) = Density
g = acceleration due to gravity (9.8 m/s²),
V = volume of object immersed in water (m₃)
This question is incomplete, it should be:
a. Calculate the buoyant force on a 2.00-L helium balloon.
b. Given the mass of the rubber in the balloon is 1.80 g, what is the net vertical force on the balloon if it is let go? You can neglect the volume of the rubber.
We have,
Volume of the balloon = 2.0 L = 0.002 m³ ⇒ V
Mass of the balloon = 1.80 g ⇒ 0.0018 kg
And, density of air = 1.225 kg/m³ ⇒ ρ
So, the buoyant force on the helium balloon is:
Fb = (1.225) (9.8) (0.002)
= 0.024 N
And, the vertical force on the balloon is:
Fv = mg
= (0.0018) (9.8)
= 0.0176 N
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