If the wavelength of the particle is 1.5 x 10⁻¹⁵ m, the mass of the particle will be 1.636 × 10⁻²⁷ kg
Velocity of the particle = 90.0% of c ( speed of light)
Wavelength of the particle (λ) = 1.5 × 10⁻¹⁵ m
Mass of the particle = ?
Calculate the velocity of the particle
velocity = (90.0 / 100)(3 × 10⁸ m/s)
velocity = (0.90)(3 × 10⁸ m/s)
velocity = 2.70 × 10⁸ m/s
Now calculate the mass of the particle by using the following equation:
λ = h / mv
Rearrange the equation for mass
m = h / λv
value of h = 6.626 × 10⁻³⁴ Kg.m².s⁻¹
Put the values
m = (6.626 × 10-34 Kg.m².s⁻¹) / (1.5 × 10⁻¹⁵ m)(2.70 × 10⁸ m/s)
m = 1.636 × 10⁻²⁷ Kg
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a concave mirror has the focal length equal to 0.927 m. to form a real image that is triple the size of the object on a screen, at what distance in front of the mirror should the object be placed (in m; answer a positive number)?
The object needs to be placed 0.618 meters from the concave mirror in order to obtain an image of it three times.
What do you mean by concave mirror?When it hits the concave mirror's reflecting surface, light converges at a single point and returns to the observer. It is sometimes referred to as a converging mirror for this reason.Obtaining an enlarged, upright, and virtual image requires placing the concave mirror very close to the item.A true and inverted image is created when the distance between the item and the mirror is increased, though the size of the image decreases.The size and reality of the picture created by the concave mirror are also up for debate.Given,
Focal length(f) = 0.927 m
Let the size of object is u,
Then according to question,
Size of image is 3u
For a concave mirror,
[tex]\frac{1}{f}[/tex] = [tex]\frac{1}{v}[/tex] - [tex]\frac{1}{u}[/tex]
[tex]\frac{1}{0.927}[/tex] = [tex]\frac{1}{3u}[/tex] - [tex]\frac{1}{u}[/tex]
u = -0.618 m
Distance will never be in negative.
Hence, u= 0.618 m
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true or false: (a) in any perfectly inelastic collision, all the kinetic energy of the bodies is lost. (b) in a head-on elastic collision, the relative speed of recession after the collision equals the relative speed of approach before the collision.(c) mechanical energy is conserved in an elastic collision
In any perfectly inelastic collision, all the kinetic energy of the bodies is lost is false statement.
Kinetic energy is a particular kind of power that is present in moving particles or objects. An item accumulates kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force. Kinetic energy is a characteristic of motion that depends on the mass and velocity of an item or particle. Motion is any combination of vibration, axis rotation, translation, and movement (along a path from one location to another). A body's translational kinetic energy, which is determined by multiplying its mass, m, by the square of its speed, v, is equal to 1/2mv2..
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a shopper standing 3.00 m from a convex security mirror sees his image with a magnification of 0.250. (a) where is his image? (b) what is the focal length of the mirror? (c) what is its radius of curvature?
His image is formed at a 0.75m distance from the mirror while the focal length and the radius of curvature are 1.00m and 2.00m respectively.
To calculate the image distance you can use the formula for the mirror's magnification which is,
[tex]\begin{aligned}\\\\M&=\frac{V}{U}\end{aligned}[/tex]
Here V and U represent the image distance and the object distance measured from the mirror's centre.Therefore,[tex]\begin{aligned}\\\\0.25&=\frac{V}{3.00\,m}\\\\V&=0.75\,m\end{aligned}[/tex]
For the second part, you can use the lens formula as you know V and U now, as follows.[tex]\begin{aligned}\\\\\frac{1}{V}+\frac{1}{U}&=\frac{1}{f}\\\frac{1}{-0.75}+\frac{1}{3.00} &=\frac{1}{-f}\\f&=1.00\,m\end{aligned}[/tex]
For the final part, you should know that the radius of curvature is twice the focal length for these curvy optics. Therefore,[tex]\begin{aligned}\\\\R&=2f\\&=2.00\,m\end{aligned}[/tex]
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His image forms at 0.75m. The focal length of the mirror is 1.00m and the radius if curvature is 2.00m.
a) To calculate the image distance,
m=v/u where m is magnification, v is image distance and u is object distance.
Therefore,
0.25=v/3.00
v=0.75m
b) To calculate the focal length using the lens formula,
1/v+1/u=1/f
Therefore,
1/-0.75 + 1/3.00 =1/f
f=1.00m
c) The radius of curvature is twice the focal length.
Therefore,
R=2f
R=2.00m
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a person slaps her leg with her hand, which results in her hand coming to rest in a time interval of 2.25 ms2.25 ms from an initial speed of 3.25 m/s3.25 m/s . what is the magnitude of the average contact force exerted on the leg, assuming the total mass of the hand and the forearm to be 1.55 kg1.55 kg ?
The magnitude of the average contact force exerted on the leg by the person is 2238.8N.
A person slaps her leg with her hand which results her hand to come to rest in a time interval of 2.25 millisecond from an initial speed of 3.25m/s.
According to second law of motion of Newton,
The average force applied by a body can be given by the change in momentum per unit time of the body.
So, we can write,
F = M∆V/t
Putting values,
F = 1.55 x 3.25 x 10³/2.25
F = 2238.8 N.
So, the magnitude of the average contact force exerted on the leg is 2238.8N.
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of the following locations where do clocks run slowest? a. on the surface of a 2 solar mass neutron star. b. on the moon. c. on the surface of the sun.
Of the given locations, the clocks run slowest on the surface of a 2 solar mass neutron star.
Acceleration due to gravity on earth = 9.8 m / s²
Acceleration due to gravity on moon = 1.62 m / s²
Acceleration due to gravity on 2 solar mass neutron star = 19.6 * [tex]10^{11}[/tex] m / s
Acceleration due to gravity is the force which an object in its gravitational field will experience.
Higher the the acceleration due to gravity, stronger will be the gravitational field. Stronger the gravitational field, slower the time will pass. Since g value on 2 solar mass neutron star is higher, gravitational field there will be stronger than Earth and the Moon.
Therefore, the clocks run slowest on the surface of a 2 solar mass neutron star.
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Suppose you have a barometer with mercury and a barometer with water. How does the height hwater compare with the height hmercury?.
Mercury is 13.6 times denser than water, or by a factor of 13.6. If water were used in place of mercury, the barometer's height would be 13.6 times greater.
In a mercury barometer, the level of air pressure balances a mercury column whose height may be precisely measured. Mercury barometers are frequently adjusted for the local gravity value and the surrounding temperature in order to boost their accuracy.Therefore ,water is 13.6 times less dense than mercury, a water barometer would need to be 13.6 times taller than a mercury barometer. The formula for calculating pressure states that it is determined by multiplying the density, height, and gravitational acceleration.Since it has a high density, mercury is frequently employed in barometers, allowing for a column height that is appropriate for measuring atmospheric pressure.
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A student rides her bicycle down a hill. Together, she and the bicycle have a mass of 56 kilograms. She is moving at 11 meters per second. What is her kinetic energy? PLEASE HELP!! NEED IN THE NEXT LIKE 10 MINS!!! THANK YOUU!!
The student has a Kinetic energy of 3,388 Joules.
What is energy?Energy exists in many different forms. Examples of these are: light energy, heat energy, mechanical energy, gravitational energy, electrical energy, sound energy, chemical energy, nuclear or atomic energy and so on. Each form can be converted or changed into the other forms.
Although there are many specific types of energy, the two major forms are Kinetic Energy (Working energy) and Potential Energy(Stored energy).
Mathematically, Kinetic Energy = [tex]\frac{1\\}{2} mv^2[/tex]
mass = 56kg
velocity = 11m/s
Kinetic Energy = [tex]\frac{1}{2}[/tex] x 56 x [tex]11^{2}[/tex]
Kinetic Energy = 28 x 121
Kinetic Energy = 3,388 Joules
In conclusion, the girl, while descending the hill on her bicycle has a kinetic energy of 3,388 Joules.
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Numerical problems.
a) convert 300kelvin into the Celsius scale.
b) Convert 220° C into kelvin scale.
c) Convert 30° C into fahrenheit scale.
d) Convert 260° F into °C
Answer:
a) 27 degree Celsius
b) 493.15K
c) 86 Fahrenheit
d) 126.667 degrees celsius
Explanation:
a) To convert from Kelvin scale to Celsius scale, subtract 273 from Kelvin scale
Hence, 300 - 273 = 27 degree celsius
b) The temperature T in Kelvin (K) is equal to the temperature T in degrees Celsius (°C) plus 273.15, that conversion formula:
T(K) = T(°C) + 273.15
hence, 220 + 273.15 = 493.15K
c) The formula to convert Celsius to Fahrenheit is °F = °C × (9/5) + 32
F = [ C × (9/5) + 32 ]
Given that, C = 30
F = 30 × (9/5) + 32
F = 54 + 32
F = 86
Thus, 30 °C is equivalent to 86 °F.
d) Formula
(260°F − 32) × 5/9 = 126.667°C
In noncyclic photophosphorylation, electrons flow in a one-way path from water to.
In noncyclic photophosphorylation, electrons flow in a one-way path from water to NADP⁺.
ADP is converted to ATP by photophosphorylation, which makes use of sunlight. Photolysis is the process by which the water molecules are divided into hydrogen and oxygen. The noncyclic photophosphorylation process uses the hill reaction, a one-way flow of electrons from water to NADP+. Non-cyclic photophosphorylation is the name given to the process of cooperative energy production.
The water molecule splitting produces a proton, which when combined with an electron transforms NDAP into NDAPH2. Thus, in noncyclic photophosphorylation, electrons go from water to NADP+ in a single direction.
Phosphorylation is a crucial process that takes place in a living cell because it produces the ATP, an energy-rich molecule. The enzymes kinases and phosphorylases are used in this process to add the phosphate group to ADP in order to create ATP.
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An object weighs 600N on moon
find it's mass on earth and moon
Find its weight on earth
Answer: 100N
Explanation:
Weight on earth = 600N
Let g= 10m/s^2 on earth
Mass on earth = 600/10 =60 kg
Now, since mass is a constant quantity so, it will remain 60 kg on the moon also.
Now, weight on moon = mg
m= mass =60 kg
g′ = acc. due to gravity on moon = 1/6th the value on earth
So, Weight on moon = 1/6th of the weight on earth
⇒ Weight on the moon =600 × 1/6 = 100 N
Hope it helps and good luck!
2. All forms of energy can exist as either ________ or ________ energy.
Answer:
Explanation:
Comment
This depends on your grade level. Because there are only two choices needed, I would say the answer is
Potential Energy orKinetic Energy.But recognize that when something burns, it is because of a change in chemical structure. For example CH4 + 2O2 ===> CO2 + 2H2O
Movement in the example is not as important as what is going on with the Methane Combined with the oxygen.
Answer:potential energy or kinetic energy.
Explanation: potential energy is the energy of position or condition, while kinetic energy is the energy of motion. Both forms of energy are important in understanding and analyzing the behavior and transformations of energy in various systems.
two wheels of mass m and radius r are ittting motionless on the top of a ramp when both wheels are released both roll down the rump under gracity
F2=2F1, as f1 is smaller by a factor of 2 due to f2 having to have twice the radius of f1 and having the same acceleration.
In mechanics, acceleration refers to the rate at which an object's velocity with respect to time varies. The vector quantity of accelerations (in that they have magnitude and direction). The acceleration of an object is determined by the direction of the net force exerted on it. Newton's Second Law states that an object's acceleration is the combined effect of two factors:
The amount of the net balance of all external forces acting on that thing is exactly proportional to the net resulting force; yet, depending on the materials used to construct it, the mass of the object is inversely related to mass.
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a cluster with a lot of type o and b stars, but no bright k or m stars, is very group of answer choices old. faint. young. poor in heavy elements. densely packed.
Very young clusters lack luminous K or M stars but have a large number of Type O and B stars.
Define Measuring the Age of a Star Cluster?We can learn a lot from star clusters that is applicable to the study of stars in general. The fundamental justification for this is because all of the stars in a cluster are thought to have formed practically simultaneously from the same cloud of interstellar space, therefore they should all have extremely similar characteristics. Accordingly, the primary distinguishing factor among stars in a cluster is their mass, yet if we examine the characteristics of one star (age, distance, composition, etc.).
The brilliant O and B stars in the open clusters emit powerful radiation that can ionize neighboring gas and produce emission nebulae as well. The brightest stars in an open cluster make up the majority of the cluster's brightness.
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Kareen weigh 800N and it at a ditance of 4m from the pivot of a eeaw. Zaid weigh 1200N. Where hould zaid it to make ure the eeaw i balanced
Zaid sits at 2 2/3m from the pivot of the sea saw to make a balance.
Here it is given that the weight of Kareen is 800N and she is sitting at 4m from the pivot of a sea-saw and Zaid is of weight 1200n.
We have to find at what distance from the pivot Zaid should sit so that there is a balance.
Here we are dealing with the Torque where one torque on one side against an equal torque of force on the other side.
Torque:
Torque is a twisting or turning force that tends to cause rotation around an axis, which might be a center of mass or a fixed point. Torque can also be thought of as the ability of something that is rotating, such as a gear or a shaft, to overcome turning resistance.
m1 = weight of Kareen
m2 = weight of Zaid
l1 = distance at which Kareen sits from the pivot
l2 = distance at which Zaid sits from pivot
m1 × l1 = m2 × l2
800 × 4 = 1200 × l2
l2 = 8/3
= 2 2/3m
Therefore the length at which Zaid sits from the pivot is 2 2/3m.
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describe the magnetic field due to the current in two wires connected to the two terminals of a source of emf and twisted tightly around each other.
The magnetic field due to the current in two wires connected to the two terminals of a source of EMF and twisted tightly around each other is either μo I / π a or zero
The magnetic field created by a long current carrying wire is given by the formula,
B = μo I / 2 π a
B = Magnetic field
μo = Permeability constant
I = Current
a = Distance
There are two possibilities if two are twisted together.
1 ) If the current in both the wires is flowing in the same direction, the net magnetic field will be the sum of magnetic field intensity of both the wires.
B = μo I / 2 π a + μo I / 2 π a
B = 2 μo I / 2 π a
B = μo I / π a
2 ) If the current in both the wires is flowing in the opposite direction, the net magnetic field will be the difference of magnetic field intensity of both the wires.
B = μo I / 2 π a - μo I / 2 π a
B = 0
Therefore, the magnetic field due to the current in two wires connected to the two terminals of a source of EMF and twisted tightly around each other is either μo I / π a or zero
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the automobile wheel and tire shown weigh 10 kg. the outer edge of the wheel rim has a radius of 20 cm. the center of gravity of the wheel/tire combination is 1 mm off from the axis of rotation. determine the balancing weight needed.
The balancing weight needed is 20g
What is center of gravity?The center of gravity is the average position of the weight of an object. We can fully describe the movement of an object through space in terms of the displacement of the object's center of mass from one place to another and the rotation of the object around its center of mass if it is free to rotate.
Given,
Given radius of wheel rim (R): 20 cm
Center of gravity 1 mm away from axis of rotation (z-axis)
This indicates imbalance on x-y plane,
Now, let's assume unbalanced weight is more towards positive x-axis, hence the center of gravity is towards positive x-direction.
In order to statically balance the mass and bring center of gravity towards z-axis, we need to place similar amount of mass 1 mm in negative x-direction.
But as we know adding huge weight to wheel is always unpreferable so we will add M amount of weight on -20 cm in x-direction.
In order to balance the weight, moment about the central axis should be zero.
∑M₀ = 0
10000g × 1 mm = M × 200 mm
M = 10000/200
M = 20g
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The 70 kg student in figure p14. 43 balances a 1200 kg elephant on a hydraulic lift. What is the diameter of the piston the student is standing on?.
The diameter of the piston the student is standing on is 0.22 times greater than that of the piston the elephant is standing on.
What is mechanical advantage of a hydraulic lift?An illustration of Pascal's law is the hydraulic system.By exerting a modest force on the small piston, we can generate a bigger force on the large piston.At each piston, the ratios of force to area must be the same.Three practical tools that make use of Pascal's law are hydraulic brakes, lifts, and presses.Given parameters:
Mass of the student: m = 70 kg.
Mass of the elephant: M = 1200 kg.
Let the diameter of the piston the student is standing on is d.
and the diameter of the piston the elephant is standing on is D.
Using Pascal's law,
Weight of the student ÷ area of the piston the student is standing on = Weight of the elephant ÷ area of the piston the elephant is standing on.
⇒ 70 kg × g / π d² = 1200 kg × g / π D²
⇒ 1400 d² = 70 D²
⇒ d= 0.22D.
Hence, the diameter of the piston the student is standing on is 0.22 times greater than that of the piston the elephant is standing on.
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a coin is embedded 1.89 cm from the surface of a similar ball of transparent substance having radius 3.1 cm and unknown composition. if the coin's image is virtual and located 1.65 cm from the surface, find the index of refraction of the substance
The index of refraction of the substance M = 0.45 mH. The refractive index n is the ratio of the speed of light c in a vacuum to the speed of light c' in a medium.
For the system described in the statement, the induced emf in both coils is given by. In other words, the induced emf in one coil is produced by the change in current in the other coil. It can be assumed that a current of 8.0 A belongs to the second coil and an induced emf of 3.00 V develops in the first coil. The current in the second coil turns off at 1.20 ms. Using the previous information, we know: Coil is 0.45mH.
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what are the relevant similarities and differences between paley's watch and the universe? is the watch analogy a good one? why or why not?
This is a theory by William Paley that states if something exists, it must have been someone who created it. By this theory, Paley concluded that the universe and the watch have been created similarly even though they are systematically different.
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1. Draw a free body diagram showing all the force on a cart if a shopper pushes the cart with an applied force of 100 N and a friction force of 80N acts on the cart
In physics and engineering, a free frame diagram (FBD; also referred to as a force diagram) is a graphical instance used to visualize the applied forces, moments, and ensuing reactions on a frame in a given situation.
A free-body diagram is a sketch of an item of interest with all the surrounding items stripped away and all of the forces acting on the frame shown. The drawing of an unfastened-body diagram is a critical step in the solving of mechanics issues because it helps to visualize all the forces appearing on an unmarried object.
A free-body diagram is a graphic, dematerialized, symbolic representation of the body (structure, element, or segment of an element) wherein all connecting "pieces" have been removed. An FBD is a convenient method to model the structure, structural detail, or phase that is under scrutiny.
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a rocket achieves a lift-off velocity of 500.0 m/s from rest in 30.0 seconds. calculate the average acceleration of the rocket.
16.6 m/s² is the average acceleration of the rocket when it achieves a lift-off velocity of 500.0 m/s from rest in 30.0 seconds
initial velocity = 0
final velocity = 500 meters per seconds
time = 30 seconds
a=(v-u)/t
u = 0
v = 500 m/s
t = 30 s
Substitute these values in equation
a=500/30
a=16.6 m/s²
Acceleration is the rate of change in a moving object's speed and direction over time. When anything moves faster or slower, it is considered to be accelerating. Motion on a circle increases even while the speed is constant because the direction is always changing.
Since acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is a vector quantity as well. The definition of acceleration is the change in velocity vector during a time interval divided by the time interval.
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suppose electrons are moving at a constant velocity away from a source of microwaves. the electrons will interact with microwaves having a frequency that:
Using the theories of microwaves, we got that the electrons will interact with microwaves having a frequency that Is lower than the frequency of the waves emitted by the sources.
Microwave radiation lies close to radio-frequency radiation in the electromagnetic spectrum, with operating frequencies in the 900–2450 MHz range.
The frequency is a characteristic of the source and hence it does not change with distance.
Hence, if we suppose electrons are moving at a constant velocity away from a source of microwaves, then the electrons will interact with microwaves having a frequency that Is lower than the frequency of the waves emitted by the sources.
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Kinetic energy depends on what?
Mass and speed
Heat and pressure
Position and height
Density and volume
Kinetic energy depends on mass and speed.
What is kinetic energy?The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. Following work, energy is transmitted to the item, which causes it to move at a new, constant speed.
Here given in the question greatest kinetic energy is when body have maximum velocity that is when body fall from maximum height at the point before touching ground body have maximum velocity.
Kinetic energy depends on mass and speed.
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what creates a magnetic field? more than one answer may be correct. a difference in electric potential a charged capacitor disconnected from a battery and at rest a moving object with electric charge a stationary conductor carrying electric current a stationary object with electric charge
Electricity can be applied to a wire to produce a magnetic field.
Charged particles that are in motion produce all magnetic fields. Due to the continually moving electrons inside, even the magnet on your refrigerator is magnetic.Magnetic field can be defined as the area around a magnet in which the effect of magnetism is felt.
Magnetism is the strongest attractive force which occurs when any metallic substance lies around a magnet or magnet like substances.Magnetic compass needles and other permanent magnets line in the direction of magnetic fields similar to those found on Earth. Electrically charged particles are forced to move in a circular or helical path via magnetic fields. The operation of electric motors is generated by this force, which is applied to electric currents in wires in a magnetic field.To know more about magnetic field,
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If the heat of a reaction is measured at constant pressure, it is equal to a change in.
The change in the system's enthalpy equals the heat produced or absorbed by a chemical process occurring at constant pressure.
Following is a summary of the link between the enthalpy of reaction and the change in the system's internal energy during a chemical reaction.Most chemical reactions take place at atmospheric pressure, which is constant, therefore the heat of reaction under constant pressure is known as enthalpy (H), as in H=U+PV.The enthalpy change is precisely equal to the heat transmitted to the system if the sole work performed is a change in volume at constant pressure.The temperature at a given volume is directly proportional to the pressure of a given quantity of gas. A system's pressure increases when its temperature rises and vice versa. The Gay-law Loussac's establishes the link between pressure and temperature of a gas.To know more about enthalpy
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Draw a diagram of a projectile that shows what is happening to the vertical (y) velocity of a projectile as it moves along its path . You must include what is happening to the speed of the velocity on the way up the way down and the max height.
The vertical velocity of the projectile increases but reaches zero at the maximum height and begins to decrease.
What is a projectile?When we talk of the projectile, we are talking about the object that is moving along a parabolic path. Hence the object that is undergoing the projectile motion is going to have a curved path. Take an instance, when you kick a soccer ball, you have to notice that the ball would tend to curve as it moves up in the air and then begins to descend. That is a typical example of a projectile motion.
Now, we have to note that at the maximum height, the vertical velocity of the object would be zero. When I throw an object up, the vertical velocity of the object would continue to increase until the object reaches the maximum height where the vertical velocity is zero and then the vertical velocity of the object begins to decrease as shown in the image.
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star a is a red star. star b is a blue star. you are able to determine that both stars are the same size. which star is brighter?
We also need the information about the distance between these stars to find out which star was the brighter star among these stars.
what is star defined as?
Stars are created as clusters within massive gas clouds that collapse in on themselves, according to current star formation theories. The substance of the cloud warms up as it sinks inward due to the force of gravity.
When the temperature of the gas hits around 10 million K (18 million °F), hydrogen nuclei begin to fuse into helium nuclei, and the star is formed. Nuclear fusion energy flows outward from the star's core, slowing the collapse of the gas cloud.
The temperature of a star determines its colour: hotter stars radiate bluer light, whereas cooler stars emit redder light. Temperature is also connected to mass. Red dwarf stars have as little as 0.075 solar masses and a visible surface temperature of less than 4,000 K. R136a1, a Wolf-Rayet star 265 times the mass of the Sun, with a visible surface temperature of 50,000 K.
The most massive (and hottest) stars use up their energy source in a few million years, but small and cold red dwarf stars can burn for billions of years.
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a ferryboat is 74 m wide and 8.1 m long. when a truck pulls onto it, the boat sinks 6.0 cm in the water. what is the mass of the truck?
352447.2 is the mass of the truck .
What is volume ?
Volume is a measure of the occupied three-dimensional space. It is often quantified numerically using SI units (such as cubic meters and liters) or various imperial units (such as gallons, quarts, and cubic inches). The definition of length (cube) relates to volume. That is, the amount of liquid (gas or liquid) that the container can hold, not the amount of space that the container itself moves.
In ancient times, volume was measured using similarly shaped natural vessels, and later standardized vessels were used. The volume of some simple 3D shapes can be easily calculated using arithmetic formulas. The volume of more complex shapes can be calculated using integral calculations if there is an equation that constrains the shape. Zero-, one-, and two-dimensional objects have no volume. In four dimensions and above, a concept analogous to ordinary volumes is a hypervolume.
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a spotlight on the ground shines on a wall 12 m away. if a man 2 m tall walks from the spotlight toward the building at a speed of 1.1 m/s, how fast (in m/s) is the length of his shadow on the building decreasing when he is 4 m from the building? (round your answer to one decimal place.)
When he is 4 m away from the building, the speed at which his shadow lengthens is -0.41 m/s.
What do you mean by angles?An angle is a shape that is made up of two rays or lines that have a shared terminal. The name "angle" comes from the Latin word "angulus," which means "corner." The common terminal of the two rays—known as the vertex—is referred to as an angle's sides. The angle in the plane does not always need to be in Euclidean space.
Given,
Distance of man from building = x
∴ initially, x = 12
dx/dt = -1.1 m/s
Let,
Shadow height = y
Now,
Solve for [tex]\frac{dy}{dt}[/tex] : when x=4
From the diagram it seen similar triangles with similar base/height ratios,
[tex]\frac{2}{12-x}[/tex] = [tex]\frac{y}{12}[/tex]
y = [tex]\frac{24}{12-x}[/tex]
[tex]\frac{dy}{dt}[/tex] = [tex]\frac{24}{(12-x)^{2} }[/tex] × [tex]\frac{dx}{dt}[/tex]
At x= 4,
dy/dt becomes:
[tex]\frac{24}{(12-4)^{2} }[/tex] × (-1.1)
∴ y = -0.41 m/s
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explain the integral form of the faraday's law. why does it violate kirchhoff's voltage law (kvl)? then why do we analyze our low-frequency circuits (which involve time-varying fields) using kvl?
According to Faraday's integral law, the magnetic flux changing at a given rate over time connecting the surface that the contour C encloses determines how E circulates around that surface.
What is the magnetic flux law?A given area's contribution to the magnetic flux is equal to the area times the portion of the magnetic field that is perpendicular to the area. The total magnetic flux on a closed surface has always been equal to zero.
What is referred to as flux?Flux is a physics term that describes how many electro magnetic field lines flow across a surface in a specific length of time. Field lines offer a way to see the size and direction of a field being measured.
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