Horizontal distance the base of the cliff does it strike the level ground below traveled is 138.564 m (r1/r2 = 1/3.)
Here Vertical component of Velocity = 800*sin(30) = 400 m/sec
s = ut + 0.5*g*t62
80 = 400t + 4.9t^2
t = 0.2 sec
Horizontal Component of velocity = 800*cos(30) = 692.82 m/sec
Therefore, Horizontal distance traveled = 692.82*0.2 = 138.564 m
When we give something a beginning velocity, we call that thing a projectile, and gravity has an impact on that thing. Horizontal range is the length of the horizontal axis for a projectile. It would also move before returning to the original vertical position. The horizontal range then depends on the launch angle (theta), initial velocity (V 0), and gravitational acceleration. When we throw or project an object, it becomes a projectile and is in motion. When a projectile moves, only one acceleration is present, and it is directed vertically. The acceleration brought on by gravity, in other words (g). Both the X-Axis and the Y-Axis can be used with the motion equations separately.
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Explain how Newton’s second law and third laws are used to calculate the force needed to hold a 0.003 kg sheet of paper and keep it from falling. (g = 9.8 m/s2)
The force needed to hold a 0.003 kg sheet of paper and keep it from falling is equal to 0.0294 N.
What is the third law of motion?According to Newton's 3rd law of motion, when two objects interact and exert force on each other, these forces are called action-reaction pairs. Force can be defined as a push or pull exerted resulting in its interaction with another.
From the second law of motion, the force is equal to mass time acceleration in the case of free fall gravitational acceleration.
Given the mass of the sheet paper, m = 0.003 Kg
The acceleration due to gravity, g = 9.8 m/s²
The weight of the sheet of paper can be calculated as:
W = mg
W = 0.003 ×9.8
W = 0.0294 N
Therefore, the force required to prevent the paper from keep falling will be equal to 0.0294 N.
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the absolute temperature of a sample of monatomic ideal gas is doubled at constant volume. what effect, if any, does this have on the pressure and density of the sample of gas?
The pressure doubles and the density of sample of gas remains the same when the absolute temperature of a sample of monatomic ideal gas is doubled at constant volume.
The effect of doubling the absolute temperature of a sample of a monoatomic ideal gas is that, the pressure doubles and density of the sample of gas remains the same.
According to ideal gas equation; PV = nRT; Where P is pressure and V is the Volume, n is the number of moles, R is the ideal gas constant and T is the absolute temperature.
Therefore, when the temperature of the mono atomic ideal gas is doubled, the pressure of the gas will also doubles.
However, in a closed chamber mass of the ideal gas is invariant, since density depends only on the mass and volume therefore the density of the ideal is gas will remain the same.
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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: True, Mechanical energy is chosen because the roller coaster choose will have large potential energy.
Mechanical energy is the sum of capability strength and kinetic energy. it's far the power related to the motion and role of an object. as an instance, a shifting vehicle possesses mechanical power in the shape of kinetic power, a compressed spring possesses mechanical power in the shape of potential power.
There are two kinds of mechanical electricity – movement (kinetic power) and saved (ability power). you can learn more in our manual that explains capacity and kinetic energy. Mechanical conversion depends on the quantity of capability energy an object has and what kind of kinetic strength it is able to produce.
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If the car moving with 2,000N of force and has a mass 16,000N ,how fast could it accelerate.
Answer:
On the other hand, acceleration is inversely proportional to the mass of the body being accelerated. That is, the greater the mass, the less acceleration.
Explanation:
a boy jumps on a trampoline straight up with initial velocity of 9.2 m/s. how long would it take him to return back to the starting position? assume the magnitude of g
0.62 sec is the time that will be required by the boy jumping on trampoline to return back to the starting position.
How to find time of return on a trampoline?A trampoline is an activity of jumping up and down and it defines the conservation of energy, from potential into kinetic.
It also describes Hooke's laws and the spring constant. Furthermore, it verifies and illustrates each of Newton's three laws of motion.
Calculation:
Time of flight = 24/g
=2×3/9.8
=0.62 sec
The three forces, acting on the boy are tension of the spring, FBD and gravity (mg).
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in which part of the ear does pressure need to be equalized when changing altitude or scuba diving? eustachian tube middle ear auricle ear drum
The middle ear is the part of ear that needs equalisation when changing altitude or scuba diving.
Why does the middle ear need equalisation?The water pressure you are diving through will affect the pressure in your outer ear. The Tympanic Membrane, also known as the "Eardrum," is located between the outer and middle ears. If there is an imbalance in the pressure between the two ears, the Tympanic Membrane will flex, resulting in discomfort or suffering.
The Eustachian Tubes, which are used to blow air into the middle ear, work to counteract this. Since the Eardrum is the only flexible portion of the middle ear, breathing more air into the middle ear will create pressure inside the middle ear, which will then cause the Eardrum to bend back to its original position. As a result, equalisation.
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a mass of 350 g connected to a light spring of force constant 24.2 n/m oscillates on a horizontal, frictionless track. the amplitude of the motion is 6.3 cm. calculate the total energy of the system. answer in units of j.
The total energy of the system is 0.01089 joules.
The mass of the object is, m = 0.35 kg
The spring constant is, k = 24.2 N/m
The amplitude of the motion is, A = 3 cm
The relationship of the total energy of the system is given by the following:
[tex]E_{T} = 1/2KA^{2}[/tex]
Substitute the values in the above relationship.
[tex]E_{T} = 1/2[(24.2 N/m (3cm * 1m/100cm)^{2} ][/tex]
= 0.01089 joules
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A cyclist peddles from 5ft/s to 12ft/s over the distance of 50 ft. how long did the acceleration take?
A cyclist peddles from 5ft/s to 12ft/s over the distance of 50 ft. The acceleration will take place for 1.19ft/s^2. It can be calculated by the formula v^2-u^2 = 2as.
v^2-u^2 = 2as
a=v^2-u^2/2s =144-25/2(50)
a=119/100 =1.19ft/s^2
What is acceleration?
The rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. The rate at which velocity changes is called acceleration.
What three forms of acceleration are there?
The three main types of accelerated motions are uniform acceleration, non-uniform acceleration, and average acceleration.
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A cyclist peddles from 5ft/s to 12ft/s over the distance of 50 ft. The acceleration will take place for 1.19ft/s^2. It can be calculated by the formula v^2-u^2 = 2as.
v^2-u^2 = 2as
a=v^2-u^2/2s =144-25/2(50)
a=119/100 =1.19ft/s^2
What is acceleration?The rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. The rate at which velocity changes is called acceleration.
What three forms of acceleration are there?The three main types of accelerated motions are uniform acceleration, non-uniform acceleration, and average acceleration.
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neglecting friction, what happens to the total mechanical energy as the pendulum swings from position a to position b?
If the potential energy of pendulum increases then the kinetic energy decreases and if the kinetic energy increases then the potential energy decreases, thus conservation of energy remains constant.
what is conservation of energy?According to the work power theorem the total energy of any object will remain constant like the sum of the kinetic and the potential energy of the object will remain constant.
The potential energy of any object is due to its position with respect to the ground. If the object is at a height of H then it will have a potential energy because some energy is given to that object against the gravity to move it to the height H.
The kinetic energy is the energy due to the velocity of the object and is given as the product of half mass to the velocity square.
we will express it in the form of the formula for better understanding:
Mechanical energy = Kinetic energy + potential energy
Now in the pendulum the motion is back and forth with respect to its mean position. So the mechanical energy (total energy) in the pendulum is the sum of the kinetic energy and the potential energy.
Now if the pendulum attains the maximum displacement from its mean position then it will have maximum potential energy and zero kinetic energy at this point.
Now if the pendulum is at the mean position now it will have maximum kinetic energy and zero potential energy at this point.At this point the potential energy totally converted to the kinetic energy.
Now at the maximum displacement the kinetic energy totally converts into the potential energy of the pendulum.
Thus If the potential energy of pendulum increases then the kinetic energy decreases and if the kinetic energy increases then the potential energy decreases.
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How much energy is stored in a spring when it is stretched 0.40 meters the spring constant is 50 nm the spring energy equation PES 1 2kx 2?
The energy stored in the spring is 4 j when it is stretched 0.40 meters; the spring constant is 50 nm.
Elastic potential energy to define is the potential energy stored in spring when it is stretched by an external force. The energy remains stored before force is removed.
The force that needed to stretch the elastic body is directly proportional to displacement, means extension. It is given as
F =kx
Wherein,
k = spring constant
x = displacement
The Elastic Potential Energy Formula of the spring stretched is given as
P.E. = 1/2 k[tex]x^{2}[/tex]
Where,
P.E = elastic potential energy and it’s expressed in Joule.
To calculate P.E. =1/2 ×0.5 ×0.4 × 0.4 j
= 4j
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A 8.0-m long wire with a mass of 10 g is under tension. a transverse wave for which the frequency is 570 hz, the wavelength is 0.10 m, and the amplitude is 3.7 mm is propagating on the wire. the maximum transverse acceleration of a point on a wire is closest to?
The maximum transverse acceleration of a point on a wire is closest to 47,410 m/s²
The general wave function is:
y = A cos (ωt + Ф)
Where:
A = Amplitude
ω = angular frequency = 2πf
Ф = phase angle
The transverse acceleration is the second derivative of the above function:
a = d²y/dt²
= - ω²A cos (ωt + Ф)
Hence, the maximum transverse acceleration is:
a_max = ω²A
= (2πf)²A
= 4π²f²A = 4 x 3.14² x 570² x 3.7 mm/s²
= 47,410 m/s²
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There are 8 squares and 10 circles. What is the simplest ratio of squares to total shapes?.
The simplest ratio of squares to total shapes if we have 8 squares and 10 circles is 4:9.
What is Ratio?
A ratio is said to be is the simplest form or in the lowest term if two quantities of a ratio (i.e., antecedent and consequent) have no common factor (i.e. antecedent and consequent are co-prime) other than 1 (or their HCF is 1). The ratio must always be expressed in its simplest form or in its lowest terms.
Now,
There are 8 squares and 10 circles.
We have, total shapes = 8 + 10 = 18
Hence, The simplest ratio of squares to total shapes = 8 : 18 = 4 : 9
So, The simplest ratio of squares to total shapes is 4 : 9
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How do astronomers know that stars are not all the same distance from us?
Answer:
'brightness' and 'place' (?)
Explanation:
You can tell the distance in both simple and complicated ways; for instance, some methods like using luminosity don't work for all stars*
quote for better understanding:
"Farther methods are usually based on identifying what type of star a given star is, and estimating its luminosity .."
"..We then measure its apparent brightness (how bright it looks)* and do some math to figure out how far away it is."
(more detailed quote):
"By knowing the actual brightness and comparing it to the apparent brightness seen from Earth (that is, by looking at how dim the star has become once its light reaches Earth), they can determine the distance to the star."
Alternatively by observing the position of the star or its place a similar technique is used:
quote:
"Earth orbits the Sun, so it is in a slightly different position in January than in July. Nearby stars will seem to slightly shift in position in our sky relative to far-away stars."
In conclusion-- luminosity is commonly how astronomers know that stars are not all the same distance away from us.
an anchor rope to anchor a ship to the pier is wrapped 2 full times around a support on the ship. a deck hand can keep the rope from slipping by applying a force of 100 n to the free end. what is the coefficient of friction between the rope and the support?
The coefficient of friction between the rope and the support is 0.34
What is the coefficient of friction?The amount of friction between two surfaces is measured by the coefficient of friction, or. A low coefficient of friction value means that less effort is needed to cause sliding than would be needed if the coefficient of friction were to be high.
We have to solve this problem by making use of the Capstan's equation
The equation is given as:
[tex]T_{load } = T_{hold} e^u^o[/tex]
u is μ , the coefficient of friction
o is Φ
the load = 7000
the hold support is 100N
Φ = 2π for a complete rotation
given that the rope is wrapped for 2 times we would have Φ = 4π
then
[tex]7000 = 100e^u^4^\pi[/tex]
take the log of both sides
u = log7000 / 100*4π
u = 0.338
Hence the coefficient of friction from what has been calculated is 0.34
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What is the frequency of the wave use 340 m/s as the speed of the sound wave?
The frequency of the wave is 34Hz if speed of sound wave is 340m/sec and wavelength is 10Hz.
Frequency implies the amount of cycles in a particular unit of time. The support for why the sky is blue or anything contains assortment can be actually figured out by it. Besides, it can in like manner get a handle on why the voice of specific individuals is significant while for others it isn't significant. Moreover, repeat plays a significant impact on the notes of a piano or different instruments.
This number of occasions is verifiably a key property of a wave. The waves envelop people reliably. Besides, light is an electromagnetic wave and the fan is a sound wave. A wave is certainly a vibration and conveys energy with it. By and large objective, the amount of waves passing by each second suggests the repeat of the wave. Likewise, its assessment occurs in Hertz (Hz).
We know that for sound wave, there is a formula
c=ν×λ
where c is the defined as the speed of sound wave in any medium,
v is defined as the frequency of wave
and λ is defined as the wavelength of the wave
So, we have speed(c) of sound waves=340m/sec
frequency(v)=? and wavelength(λ)=10m
=>340 = v×10
=>340/10=v
=>v=34/sec or
=>v=34Hz.
Hence, frequency of wave is 34Hz.
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(Complete question) is:
What is the frequency of the wave use 340 m/s as the speed of the sound wave and frequency of the wave is 10Hz?
A 710 kg k g car drives at a constant speed of 23 m/s m / s. It is subject to a drag force of 500 n n.
A 710 kg k g car drives at a constant speed of 23 m/s and is subject to a drag force of 500 N. The required power to drive the car on the ground is 11.5 kW
Power is defined as the amount of work done per unit time.
P = W/Δt
Where:
W = work done
Δt = time period
Since W = F . s
Hence,
P = F . s/Δt = F . v
Where:
F = force acted on the object
s = distance
v = velocity
Parameters given in the problem:
F = 500 N
v = 23 m/s
Hence, the required power is:
P = (500) (23 ) = 11,500 Watt = 11.5 kW
Your question is incomplete, but most probably your question was:
A 710kg car drives at a constant speed of 23m/s . It is subject to a drag force of 500 N. What power is required from the car's engine to drive the car on level ground?
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What is the ke a car with a mass of 1500kg running with a velocity?
The KE of the car is 750v² J.
KE is the kinetic energy of the object which can be defined as the energy possessed by the object when it is in motion.
Also kinetic energy is equal to the net work done on the object.KE = ΔW
The SI unit of the kinetic energy is joule (J).The formula to calculate the kinetic energy is KE = (1/2)*m*v²Where,
m = mass of the object
v = speed at which the object is moving
Kinetic energy depends on the speed squared of the object. This means that when an object's speed is doubled, its kinetic energy is quadrupled.Mass of the car = 1500Kg
Velocity of the car = v m/sec
KE = (1/2)*m*v²
KE = (1/2)*1500*v²
KE = 750v² J
The KE a car with a mass of 1500kg running with a velocity v m/sec 750v² J.
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if the density of gold is 19.3 x 103 kg/m3, what buoyant force (n) does a 0.60-kg gold crown experience when it is immersed in fresh water?
If placed in groundwater, a 0.60 kg gold crown would rise by a buoyant force of almost 11.58 N. You can ascertain the same using the formula provided:
Buoyant force = density of fluid x Volume of object x gravitational acceleration
= 1000 kg/m3 x 0.60 kg/m3 x 9.81 m/s2
= 11.58 N
When an item is submerged in a fluid, buoyant force, a kind of uplifting force, is applied to that item. An entity's buoyant force is proportional to the amount of both the fluid it has evacuated.
Step 1: Calculate the volume of the crown
Mass divvied up by concentration is just the formula for calculating an item's volume. The golden crown inside this instance weighs 19.3 x 103 kg/m3 in terms of density.
Volume = 0.60 kg/19.3 x 103 kg/m3
Volume = 0.0031 m3
Step 2: Determine how much water has been displaced by mass.
The crown's volume times the water is probably density gives the amount of water that is evacuated. Freshwater has a 1,000 kg/m3 density.
Mass of water moved is 0.0031 m3 times 1,000 kg/m3.Water displacement weight is equal to 3.1 kg
Step 3: Determine the buoyant force.
The buoyant force that an item experiences is proportional to the mass of the fluid which that item has displaced. The water that was removed weighs 3.1 kg in particular instance.
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The angular momentum of the propellers of a small airplane points directly forward from the plane.
a. True
b. False
The statement "The angular momentum of the propellers of a small airplane point directly forward from the plane" is false.
Angular momentum is a measure of an object's rotational motion and is defined as the product of the object's moment of inertia and its angular velocity. In the case of an airplane, the propellers spin about an axis that is perpendicular to the plane's direction of motion, so the angular momentum of the propellers points in the direction of this axis.
This direction is not necessarily directly forward from the plane and can vary depending on the orientation of the propellers and the plane's motion. Therefore, it is not true that the angular momentum of the propellers of a small airplane points directly forward from the plane.
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For the photoelectric effect, indicate the expected observations for a particle theory of light and for a wave theory of light.
1. If light intensity is increased, the number of electrons ejected should increase, but the maximum kinetic energy of the electrons ejected should not increase.
2. If the frequency of the light is increased, the maximum kinetic energy of the electron should not be affected.
3. If the frequency of the light is increased, the maximum kinetic energy of the electrons should increase.
4. If the light intensity is increased, the number of electrons ejected should increase and the maximum kinetic energy of the electrons ejected should increase.
5. There should be no lower limit to the frequency - electrons will be ejected for all frequencies.
6. There is a "cutoff" frequency, below which no electrons will be ejected, no matter how intense the light.
For the photoelectric effect, the expected observations for a particle theory of light are 1,3, and 6 and 2,4,5 for a wave theory of light.
The particle theory of light defines that light consists of minute particles. Light consists streams of small particles known as photons and travels in straight lines at great speeds which is reflected from mirrors in a predictable way. Wave theory of light suggests that light has a wave character and that it travels in a medium called ether as a longitudinal wave and undergoes diffraction and interference. The wave-particle duality theory states that waves can exhibit particle-like properties while particles can exhibit wave-like properties. Hence, based on the basic definition, the statement 1, 3, and 6 respond to particle theory of light and statements 2,4, and 5 respond to wave theory of light.
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At a frequency ω1 the reactance of a certain capacitor equals that of a certain inductor.a. If the frequency is changed to ω2= 7 ω1,b. what is the ratio of the reactance of the inductor to that of the capacitor?c. If the frequency is changed to ω3=ω1/ 7,d. what is the ratio of the reactance of the inductor to that of the capacitor?
(a.) At frequency ω2, the reactance of the inductor will be 7 times the reactance of the capacitor. (b). The ratio of the reactance of the inductor to that of the capacitor is 7:1. (c.) At frequency ω3, the reactance of the inductor will be 1/7th the reactance of the capacitor. (d.) The ratio of the reactance of the inductor to that of the capacitor is 1:7.
a. When the frequency is changed to ω2 = 7ω1, the ratio of the reactance of the inductor to that of the capacitor is 1:7. This is because when the frequency increases, the reactance of the inductor increases while the reactance of the capacitor decreases.
b. The formula for calculating the ratio of the reactance of an inductor to that of a capacitor is Xl/Xc = (ω2/ω1)^2. Therefore, the ratio of the reactance of the inductor to that of the capacitor when the frequency is changed to ω2 = 7ω1 is 49:1.
c. When the frequency is changed to ω3 = ω1/7, the ratio of the reactance of the inductor to that of the capacitor is 1:49. This is because when the frequency decreases, the reactance of the inductor decreases while the reactance of the capacitor increases.
d. The formula for calculating the ratio of the reactance of an inductor to that of a capacitor is Xl/Xc = (ω3/ω1)^2. Therefore, the ratio of the reactance of the inductor to that of the capacitor when the frequency is changed to ω3 = ω1/7 is 1:49.
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At what speed will an electromagnetic wave of frequency 3.75 1014 Hz travel in vacuum?
The Speed of 5.625 x 10¹⁴m/s will traverse in vacuum.
Maxwell not only developed a complete electromagnetic theory expressed in Maxwell's equations, but also brought all the work done by such great physicists as Oersted, Coulomb, Gauss, Michael Faraday, and his own insights. to develop electromagnetism. Maxwell's equations contain the most important laws of electricity and magnetism.
[tex]E/M=c[/tex]
[tex]E=esin[2\pi -wT]\\\\B=msin[2\pi -wt][/tex]
Maxwell calculated the speed of electromagnetic waves and found that the speed of electromagnetic waves is almost the same as the speed of light.
Maxwell's first equation tends to give a special form of Coulomb's law called Gauss's law of electricity.
speed = 1.5 x 3.75 x 10¹⁴=5.625 x 10¹⁴m/s
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you take a spectrum of a faraway galaxy and find that its hydrogen alpha line peaks at 6782 angstroms. what is its recessional velocity?
The recessional velocity is 9,771,241 m/s.
Step 1: The redshift of a faraway galaxy is determined by measuring the shift of its spectral lines compared to similar lines from nearby galaxies. The redshift is usually expressed as a ratio in terms of how much the wavelength of each line has shifted from its original value.
Step 2: The hydrogen alpha emission line has a known rest wavelength of 6562 angstroms. This means that the observed wavelength of 6782 angstroms is shifted from its rest wavelength by a factor of 1.03.
Step 3: The redshift of a galaxy can be converted into a recessional velocity in km/s by using the Hubble Law, which states that the recessional velocity of a galaxy is proportional to its redshift.
Step 4: To calculate the recessional velocity, the formula V = H0 x z is used, where V is the recessional velocity, H0 is the Hubble Constant, and z is the redshift.
Step 5: The Hubble Constant is currently estimated to be 70 km/s/Mpc, so using the formula, the recessional velocity of the faraway galaxy is 70 km/s/Mpc x 1.03 = 71.1 km/
Recessional velocity is the speed at which an object is moving away from an observer. This is typically measured in kilometers per second and is used to measure the expansion of the universe. It is calculated by measuring the wavelength shift of an object's light, which increases as the object moves away from the observer.
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a ball is thrown upward at a velocity of 19.6 m/s. how long time does it take to come back to its original height?
Time taken by the ball to reach its original height is 4 seconds.
How is time, height and gravity related in motion?The vertical motion is a motion that occurs when we toss an object completely up. Because the initial velocity or force is only applied in the vertical axis, this motion only moves vertically; if there is any horizontal movement, the air is to blame.Because a uniformly accelerated motion typically goes in the "x" axis, the vertical motion could be viewed as a version that moves in the "y" axis. The acceleration of the vertical motion will be equal to the gravity, therefore it can be thought of as a uniformly accelerated motion.
Given that gravity is an acceleration that points downward, it will always have a negative sign. One of the key prerequisites for vertical motion is that the object's initial velocity must be greater than zero; otherwise, the object will begin to rise and slow down until its initial velocity equals zero, at which point it will begin to fall and its velocity will steadily increase in the opposite direction until it collides with the ground.
The time take by the ball to reach back to its original height will be equal to twice of time taken to reach its maximum height.
According to the kinematic equations of motoion we know that
v = u + at
Here v = final velocity, u = initial velocity , a = acceleration, t = time taken to reach maximum height
We know that;
v = 0 m/s
u = 19.6 m/s
g = -9.8 m/s^2
Thus
t = v - u/a
= 0 - 19.6/ (-9.8)
= 2s
Thus time taken by the ball to reach its original height is 2 x t = 4s.
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A net force of 10. Newtons acts on an object of mass 6. 0 kilograms for 8. 0 seconds. What is the magnitude of the change in the object's momentum?.
The magnitude of the change in the object's momentum is c)80N-sec. So, option c is correct.
The momentum is defined as the consequence of a molecule's speed and its mass. Power and movement, meaning it has both greatness and the heading. As per Isaac Newton's second condition of movement, the power following up on a molecule rises to the time pace of increment of force.
We are given that the initial momentum of the system is 0.
Using the results of Newton second law of motion, we get
F = m × a
a = F/m
a = 10/6
a = 1.67 m/s²
Now, with the help of this acceleration, we can find the final velocity of the object.
So, according to first equation of motion, we get
v = u + at
v = u + (1.67)×(8)
v = 0+13.33 m
=>v=13.33 m
Now, we know momentum is given the cross product of mass and velocity.
Therefore, p = m × v
p = 6 × 13.33
or p = 80 N-s
Hence, change in object's momentum is c)80N-sec
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(Complete question) is:
A net force of 10 newtons acts on an object of mass 6.0 kilograms for 8.0 seconds. What is the magnitude of the change in the object's momentum?
a. 48 N-s
b. 60. N-s
c. 80. N-s
d. 480 N-s
A thin rod of mass M and length l is suspended vertically from a frictionless pivot at its upper end. A mass m of putty traveling horizontally with a speed v strikes the rod at its CM and sticks there.
Can someone explain to me why the intial angular momentum is what it is?
The reason for the initial angular momentum is law of conservation of momentum and its value is constant.
The velocity of the center of mass of an isolated system is constant. This means that if an isolated system is initially at rest, it will remain stationary, and if it is initially in motion, it will move with the same velocity. , depending on the mass distribution.The object's centroid need not be inside the object.For a symmetrical body with uniform mass distribution, the centroid coincides with the geometric center of the body.The position of the object's center of gravity changes during translation, but remains the same during rotation.To study more about center of mass -
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What is the change in internal energy in joules of a car if you put 13.5 gal of gasoline into its tank?
The change in internal energy of car will be 13.5 cal.
The internal energy of an ideal gas is a good approximation of a real system. In such a system, particles in an ideal gas appear as point objects that collide with each other in a perfectly elastic way. The actual behavior of monatomic gases (helium, argon, etc.) reflects this model.
For an ideal gas, the internal energy is proportional to the number of moles of gas and its temperature: U = cnT
Gibbs free energy is increasing as the curve of entropy.
The first law of thermodynamics states that the increase in internal energy is equal to the total heat input plus the work done by the environment. For isolated systems, it remains constant.
Q=u+w
u=Q-w
=13.5cal
since no reaction happened.
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a hertzian antenna in free space is 10 cm long. it is fed by a current of 20 a at frequency of 50 mhz. find the electric and magnetic fields at far zone.
The electric and magnetic fields at far zones are 1.66 and 628.33 (...).
What are electric and magnetic fields?With the use of electricity and other types of artificial and natural illumination, invisible energy fields known as electric and magnetic fields (EMFs) and radiation are created.
The sole difference between the total energy (electrical plus magnetic) is that the B field energy rises as the E field energy falls. The magnetic component of the EM wave causes a current in the antenna when it is a coil, such as those employed in long/medium wavelengths.
Both antenna designs have the same distribution of electric and magnetic energy in the far field. Accelerating charges also create radiating fields in addition to the reactive field; stationary charges and charges travelling at constant speed do so. Reactive fields are created as a result of the continual charge drift caused by DC sources.
The complete calculation is attahced.
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what is the best approximation for the area of this circle? use 3.14 to approximate pi.
The best approximation is 201.0 [tex]in^{2}[/tex]
we know that
The area of the circle is equal to
[tex]A= \pi r^{2}[/tex]
In this problem we have
r =8 in
[tex]\pi =3.14[/tex]
substitute
A= (3.14) ([tex]8^{2}[/tex]) =201.0 [tex]in^{2}[/tex]
What is Pi ?pi—which is written as the Greek letter for p, or π—is the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.14.Pi is most commonly used in certain computations regarding circles. Pi not only relates circumference and diameter. Amazingly, it also connects the diameter or radius of a circle with the area of that circle by the formula: the area is equal to pi times the radius squared. Additionally, pi shows up often unexpectedly in many mathematical situations. For example, the sum of the infinite series.To learn more about pi refer to:
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4.)a gamma-ray photon produces an electron and a positron, each with a kinetic energy of 375 ke v. determine the energy and wavelength of the photon
a gamma-ray photon produces an electron and a positron, each with a kinetic energy of 375 keV.
wavelength of photon = 7.019 × 10⁻¹³ m
Total energy of photon = 1.77 MeV.
What is kinetic energy?An object's kinetic energy is the energy it has as a result of motion. Applying force is necessary if we wish to accelerate an item. We must put forth effort in order to apply a force. Once the job is finished, energy is transferred to the item, which then moves at a new, constant speed.
The rest mass energy for electron and positron:
E₀ = m₀c²
E₀ = (9.1 × 10⁻³¹) × (3 × 10⁸)
E₀ = 8.198 × 10⁻¹⁴ J
E₀ = 512.4 × 10³ eV or 512.4 KeV
Total energy of photon:
= [2 × (375)] + [2 × ( 512.4 )]
= 1774.8 KeV
= 1.77 MeV.
Energy = hc/λ
or, λ = (6.626 × 10⁻³⁴) × (3 × 10⁸)
or, λ = 7.019 × 10⁻¹³ m
Thus, wavelength of photon = 7.019 × 10⁻¹³ m
Total energy of photon = 1.77 MeV.
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