The wavelength of the light producing the fringe pattern is (2 * 0.237 mm) / 798 = 0.00059mm.=590nm
To solve for the wavelength of the light producing the fringe pattern, we can use the formula:
wavelength = (2 * distance moved by mirror M2) / (number of fringes shifted)
Plugging in the values given, we get:
wavelength = (2 * 0.237 mm) / 798 = 0.00059 mm=590nm
Therefore, the wavelength of the light producing the fringe pattern is 0.00059 mm.
In a Michelson interferometer, a beam of light is split into two parts by a semi-transparent mirror called a beam splitter. One part of the beam travels to a fixed mirror, while the other part of the beam travels to a movable mirror. The two reflected beams recombine at the beam splitter and create an interference pattern that can be observed. By moving the movable mirror, the phase difference between the two beams changes, causing the interference pattern to shift. By measuring the number of fringes shifted and the distance the mirror is moved, it is possible to determine the wavelength of the light.
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over the course of a single night, does the position of mars in its home constellation change dramatically? group of answer choices yes no
Over the course of a single night, the position of mars in its home constellation do not change dramatically. Correct answer us no.
The position of Mars in its home constellation changes over the course of a single night, but not dramatically. Mars, like all celestial objects, appears to move across the night sky due to the rotation of the Earth.
However, the magnitude of this change in position over the course of a single night is not usually considered to be "dramatic" in astronomical terms. The apparent motion of Mars across the night sky is relatively slow, and its position relative to the surrounding stars may only change by a few degrees over the course of several hours.
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a 0.5kg cart is connected horizontally to a spring. there is friction, which damped the amplitude of the motion of the cart with a coefficient of 0.1. if the cart is pulled 2m from the equilibrium position and released. what is the force on the cart by the spring after 2 sec, if the frequency of motion is 1.8hz?
The force on the cart by the spring after 2 sec is -906.4 N.
The motion of the cart connected to a spring can be described by the equation:
x = A × [tex]e^-bt/2m}[/tex] × cos(wt - phi)
where:
x is the displacement, A is the amplitude of the motion b is the damping coefficient m is the mass of the cart w is the angular frequency of the motion phi is the phase angle
To find the force on the cart after 2 seconds, we need to find the values of the amplitude, angular frequency, and phase angle. The amplitude can be found from the initial displacement:
A = 2 m
The angular frequency can be found from the frequency of motion:
w = 2πf = 2π(1.8 Hz) ≈ 11.31 rad/s
The phase angle can be found from the initial conditions. At t = 0, the displacement is 2 m and the velocity is 0, so the phase angle is 0. Therefore: phi = 0
Now we can find the displacement of the cart at t = 2 s:
x = A × [tex]e^-bt/2m}[/tex] × cos(wt - phi)
x = 2 ×[tex]e^{-0.1(2)/2(0.5)}[/tex] × cos(11.31(2) - 0)
x ≈ 1.41 m
The force on the cart by the spring can be found using Hooke's Law, which states that the force is proportional to the displacement:
F = -kx
where k is the spring constant. The spring constant can be found from the angular frequency:
w = √(k/m)
k = m × w²
k = 0.5 kg × (11.31 rad/s)²
k ≈ 642.6 N/m
Therefore, the force on the cart at t = 2 s is:
F = -kx
F = -642.6 N/m × 1.41 m
F ≈ -906.4 N
Note that the negative sign indicates that the force is acting in the opposite direction of the displacement (i.e. restoring force).
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in what direction is the earth's angular velocity for its daily rotation on its axis
The Earth's angular velocity for its daily rotation on its axis is in the counterclockwise direction (eastward).
The Earth's angular velocity for its daily rotation on its axis is in the eastward direction. From above, this movement would look like the Earth is moving counterclockwise. This means that the Earth rotates from west to east, causing the sun to appear to rise in the east and set in the west. This is also why time zones are arranged with earlier times to the east and later times to the west. The Earth's rotation on its axis is what causes the cycle of day and night.
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monochromatic light is beamed into a michelson interferometer. the movable mirror is displaced 0.459 mm, causing the central spot in the interferometer pattern to change from bright to dark and back to bright 1821 times. determine the wavelength of the light.
The wavelength of the light can be calculated using the formula λ = 2d/N, where d is the mirror displacement and N is the number of fringes observed. Substituting the given values, the wavelength of the light is found to be approximately 635.2 nm.
A tool used to gauge light's wavelength is a Michelson interferometer. A beam splitter is used to divide a light beam into two pathways, which are then combined again to form an interference pattern. One of the beams' travel lengths is altered by the moveable mirror, which results in interference fringes moving. It is possible to determine the wavelength of the light by counting the number of fringes that shift, which is directly proportional to the change in path length. In this instance, the movable mirror's displacement and the quantity of fringe shifts are known, allowing us to use the formula: = 2d/N, where d is the mirror's displacement and N is the quantity of fringe shifts, to determine the wavelength of the light.
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suppose that the cable from a to b must exert a 8500 n horizontal force on the car to hold it in place. determine the car's weight and also mass in kg
The car's weight and mass in kg if cable from a to b must exert a 8500 n horizontal force on the car to hold it in place is 14722N and 1502.24 kg.
Believe or not, weight is the force that the earth Earth is acting on you. The gravitational acceleration which is multiplied to the mass is deduced by using the equation of Newton's law of solemnity similar that one mass is the mass of the earth Earth.
The free body diagram is shown to the right
Applying the equilibrium equation
[tex]\sum F_s = T- Nsin30\degree = 0\\\\\sumF = Ncos30 - mg = 0\\[/tex]
Setting T = 8500N and solving the equation we get,
N = 17000N
mg = 14722 N
So weight = 14722 N
and mass = 14722/g = 14722/9.8 = 1502.24 kg
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Edgar kicks the ball to Jerry across the soccer field. The ball stays on the ground. The ball has a mass of 58.40 kg. If the coefficient of friction between the grass and
the ball is 1.52, what is the force of friction?
Type your answer...
The force of friction of the ball is 870.8N.
How to calculate frictional force?Friction is the force that resists motion when the surface of one object comes in contact with the surface of another.
Frictional force is the force generated by two surfaces that contact and slide against each other.
Frictional force can be calculated by multiplying the normal force by coefficient of friction as follows:
f = F × µ
Where;
F = mgf = 58.4kg × 9.81m/s² × 1.52
f = 870.8N
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a car starts from rest and accelerates at 0.300 m/s2 . what is the speed of the car after it has travelled 25.0 m?
The speed of the car after it has traveled 25.0 m is 3.87 m/s. when the car starts from rest and accelerates at 0.300 m/s2.
At rest, is acceleration zero?A vector quantity is acceleration. We must provide retar-dation—a negative acceleration—to the body in order for it to come to rest. The body's velocity is zero when it comes to a stop. The outcome is that the acceleration is also zero.
Is acceleration zero when at rest?Acceleration is a vector quantity. The body needs to experience retar-dation—a negative acceleration—in order to come to rest. When a body comes to a stop, its velocity is zero. As a result, the acceleration is zero as well.
v^2 = u^2 + 2as
v = final velocity
u = initial velocity = zero [start from rest]
a = acceleration = 0.300 m/s2
s = distance = 25.0 m
v^2 = 0 + 2 [0.300] [25.0]
v^2 = 15
v^2 = 3.87 m/s
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you observe two distant galaxies (well outside our local group of galaxies). you find that galaxy w is moving away from us at a speed of 35,000 km/s and galaxy x is moving away from us at a speed of 70,000 km/s. what can you say about the distances to those galaxies?
the first piece of observational proof that the universe is old. He found that a galaxy appears to be moving away from us faster the further away it is from us, using the greatest telescope available at the time. The universe is therefore evenly expanding in all directions.
What is the two distant galaxies?We frequently observe bigger fluctuations in the color of the light that distant galaxies release when we measure their radiation. This indicates that they are travelling more quickly than the nearby galaxies.
Speeds that are not faster than 0.05% to 1.0% the speed of light. However, you don't need to gaze very far away—100 million light-years is more than enough—to see the consequences of the expanding Universe.
Therefore, Galaxy W is twice as far as Galaxy X.
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if the mass of the compact car is 1200 kg, what force is needed to make it accelerate to 20 m/s2? show your calculations.
Based on astronomy from space-based telescopes, select all of the correct statements from the following list.a. Most types of electromagnetic waves are not visible to ground-based telescopes.b. There would be no limit to what an optical telescope in space could see.c. Enough infrared energy gets to Earth's surface that infrared telescopes do not need to be put in orbit.d. The Chandra and Spitzer telescopes are all in space.
Statements which are correct are (a) i.e. Telescopes on the ground cannot see the majority of electromagnetic waves. & (d) The Chandra and Spitzer telescopes are all in space.
(a) Most types of electromagnetic waves, such as X-rays and gamma rays, are not visible to ground-based telescopes due to the absorption of these waves by the Earth's atmosphere. Therefore, to detect these types of electromagnetic waves, space-based telescopes are needed.
(d) This statement is correct. The Chandra X-ray Observatory and the Spitzer Space Telescope are both space-based telescopes designed to observe X-rays and infrared radiation, respectively. Since X-rays and infrared radiation are not visible to ground-based telescopes due to the Earth's atmosphere, space-based telescopes are necessary to detect them.
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A wooden ball with a mass of 0.45 kg is at rest when it is tapped by a wooden mallet that applies an average force of 83 N to the ball. After contact with the mallet, the ball moves forward at 1.3 m/s. How long was the mallet in contact with the ball?7.0 milliseconds3.7 milliseconds2.4 milliseconds.59 milliseconds
The mallet in contact with the ball is 2.4 milliseconds.
The amount of time that the mallet was in contact with the ball can be calculated using the equation for impulse, which is equal to the change in momentum. Force and time combine to create an impulse.. Mathematically, it can be expressed as:
Impulse = Change in Momentum = F * t
Change in momentum is the product of mass and change in velocity.Therefore, the time that the mallet was in contact with the ball can be calculated as follows:
[tex]t = \frac{Impulse }{F }\\ \\= \frac{(0.45 kg * 1.3 m/s) }{ 83 N }\\\\= 2.4 milliseconds[/tex]
Therefore,The mallet in contact with the ball is 2.4 milliseconds.
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Revisiting the Anticipation Guide Review your original response to this statement from the Anticipation Guide on page 6: Each person in a family has the same traits. There are no differences in traits between parents and offspring or among siblings. Do you agree or disagree with this statement now? What evidence supports your ideas about the statement?
how does an electromagnetic wave propagates?
he fact that the elements of life were produced in stars suggests the following two things: a. (1) these elements have become more common as the universe has grown older. (2) these elements are the most common elements in the universe. b. (1) the universe began in a big bang. (2) the elements of life exist in all stars. c. (1) these elements only exist in very old stars. (2) these elements are extremely rare. d. (1) these elements have become more common as the universe has grown older. (2) these elements should be found in nearly all star systems.
The correct answer is (d): (1) these elements have become more common as the universe has grown older. (2) these elements should be found in nearly all star systems.
The elements that make up life (such as carbon, nitrogen, oxygen, and iron) are created in stars through nuclear fusion and supernova explosions. As the universe has grown older, more and more stars have been born and died, producing these elements and spreading them throughout the universe. Therefore, these elements have become more common over time.
Additionally, because these elements are created in stars, they should be found in nearly all star systems. While the exact abundance of these elements may vary depending on the age and type of star, they should be present in some amount in most stars.
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consider two people, one on the earth's surface at the equator and the other at the north pole. which has the larger centripetal acceleration? explain.
Both at the north pole and one at the equator on the surface of the globe. The centripetal acceleration is greater for the person on the equator.
The centripetal acceleration is the acceleration that is directed towards the center of a circular path. On the surface of the Earth, the rotation of the planet around its axis creates a circular path for any object on its surface. This means that any object on the Earth's surface is subject to a centripetal acceleration due to the Earth's rotation.
The magnitude of the centripetal acceleration:-
a = v²/r
here, v tangential velocity of the object
r radius of circular path.
The tangential velocity is velocity of the object in the direction tangent to the circular path.
The tangential velocity of an object on the surface of the Earth is given by:-
v = ω r
here, ω is angular velocity of the Earth's rotation,
r is radius of the Earth.
The angular velocity is rate at which the Earth rotates around its axis.
Since, the radius of the Earth is largest at the equator, an object at the equator has a larger radius than an object at the North Pole. This means that the tangential velocity of an object on the equator is larger than the tangential velocity of an object at the North Pole. Therefore, the centripetal acceleration of an object on the equator is larger than the centripetal acceleration of an object at the North Pole.
In summary, an object on the Earth's surface experiences a centripetal acceleration due to the Earth's rotation, and the magnitude of this acceleration is determined by the tangential velocity and the radius of the circular path. Since the radius is larger at the equator than at the North Pole, an object on the equator has a larger centripetal acceleration than an object at the North Pole.
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what is the acceleration two point on a velocity time graph which has coordinate (10sec,15ms)and (20sec,35ms)
The acceleration between two point on a velocity time graph which has coordinate (10sec,15ms)and (20sec,35ms) is 2.5m/s².
What is Acceleration?
This is referred to as the rate at which velocity changes with time, in terms of both speed and direction.
Acceleration = change in velocity/change in time
= 35m/s - 15m/s / 20s - 10s
= 25m/s / 10s = 2.5m/s²
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it takes 10 million (1x107) hudfs to fill the entire sky. using this information and your answer from the previous part, how many stars are there in the observable universe? express your answer using scientific notation.
The estimated number of stars in the observable universe is about 1x10^22.
Scientific Notation10 million can be written as 1,000,000,000 . It is expressed in scientific notation, it becomes 10 raised to 9= 1,000,000,000
What is an Universe?The universe is made up of all of space, time, and everything that exists within them, including all of the planets, stars, galaxies, and other types of matter and energy. The prevailing cosmological explanation for the universe's formation is the Big Bang theory. The universe has been expanding ever since the Big Bang, which occurred 13.7870.020 billion years ago, according to this theory. Although the size of the entire universe's space is unknown, the observable universe's diameter, which is about 93 billion light-years at the moment, can be calculated.
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The estimated number of stars in the observable universe is about 1x10^22.
Scientific Notation
10 million can be written as 1,000,000,000 . It is expressed in scientific notation, it becomes 10 raised to 9= 1,000,000,000
What is an Universe?
The universe is made up of all of space, time, and everything that exists within them, including all of the planets, stars, galaxies, and other types of matter and energy. The prevailing cosmological explanation for the universe's formation is the Big Bang theory. The universe has been expanding ever since the Big Bang, which occurred 13.7870.020 billion years ago, according to this theory. Although the size of the entire universe's space is unknown, the observable universe's diameter, which is about 93 billion light-years at the moment, can be calculated.
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In terms of environmental impact, what’s the difference between natural gas, coal, and biomass? Consider both carbon dioxide (CO2) emissions and acid rain
In terms of producing the most energy per unit of carbon dioxide released, natural gas is the best fossil fuel. Because a new crop can be planted after each harvest, biomass is a renewable resource and a low-carbon fuel.
Effects of human activities on the biophysical environment, or environmental challenges, most frequently include. Numerous human activities such as overpopulation, pollution, the burning of fossil fuels, and deforestation have an adverse effect on the physical environment. Climate change, soil erosion, poor air quality, and undrinkable water have all been brought on by changes like these.
There are three main ones that generally have an impact on most of them: the loss of biodiversity, water pollution, ocean acidification, and climate change
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How did katherine johnson respond when it seemed that certain meetings at nasa were only for men?
Katherine Johnson accepted that the meetings were only for men and didn't ask to attend.
What is meeting?Meetings are when two or more people get together to talk about one or more topics, frequently in a formal or business setting, though they can also happen in a variety of other settings. Group decision-making can be done during meetings.
A meeting is a gathering of two or more individuals called for the express purpose of engaging in verbal interaction in order to accomplish a common objective, such as exchanging information or coming to a consensus. Face-to-face meetings can take place virtually through the use of communications technology, such as a telephone conference call, a skped conference call, or a videoconference.
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the tortoise and the hare are running a 1 km race. after running comfortably for 7 s, the hare is so far ahead that he decides to take a nap under a tree, 100 m away from the finish line. if the tortoise is moving constantly at a speed of 0.27 m/s, and the maximum speed of the hare is 15 m/s, how long can the hare afford to nap if he does not want to lose the race?(a) 6.67 s(b) 370 s(c) 3630 s(d) 3690 s
Hare can afford to nap if he does not want to lose the race is of 3690 seconds.
A unit rate is a cost for only one of anything. Unit rate is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.
D = 1000m
v = 0.27 m/s
t = 1000/0.27
t = 3703.7 sec
Time taken for 100m for hare.
t = 100/15
t = 6.7 sec
Therefore, total time t is
t = 7 + tn + th
3703.7 = 7 + tn + 6.7
tn = 3703.7 - 13.7
tn = 3690 sec
Therefore, hare afford to nap if he does not want to lose the race is 3690 sec.
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17) If the pendulum string has a length of 7 meters, what is the period?
a.
4.4 seconds
c. 6.28 seconds
b. 5.26 seconds
d. 0.84 seconds
The period of a pendulum is found to be 5.26 seconds if the pendulum string has a length of 7 meters.
What is a Pendulum?A pendulum may be characterized as a body suspended from a fixed point so that it can swing back and forth under the influence of gravity. The time interval of a pendulum's complete back-and-forth movement is constant.
According to the question,
The length of a pendulum string = 7 m.
The period of a pendulum string = ?
The length of a pendulum string is found with the help of the following formula:
L = (T/ 2π)² × g7 = (T/2 × 3.14)² × 9.8
7 = [tex]\frac{T^2}{4}[/tex] × 9.85 × 9.8.
28 = [tex]T^2[/tex] × 96.53 = 0.526 = 5.26 seconds.
Therefore, the period of a pendulum is found to be 5.26 seconds if the pendulum string has a length of 7 meters.
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Uniform Electric Field Two conducting parallel plates are oppositely charged and separated by a certain distance. An electron is located midway between the plates. The magnitude of the electrostatic force on the electron is 3.8 × 10-16 newton. 1. On the diagram, draw at least three field lines to represent the direction of the electric field in the space between the charged plates. 2. Identify the direction of the electrostatic force that the electric field exerts on the electron.
The electrostatic force exerted on the electron will be in the direction of the electric field, which is from the positive plate to the negative plate. Since the electron is negatively charged, it will be attracted to the positively charged plate, so the force on the electron will be in the direction from the negative plate to the positive plate.
What is electrostatic force?The electrostatic force, also known as the Coulomb force, is the force that exists between electrically charged particles. It is a fundamental force of nature that governs the behavior of charged particles, such as electrons and protons.
How is electrostatic force important?The electrostatic force is responsible for many natural phenomena, such as the attraction and repulsion of magnets, the electric shock felt after rubbing a balloon on hair, and the behavior of lightning. It is also used in a wide range of technologies.
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. The air bubble formed by explosion inside water perform oscillations with time period, T which depends on pressure (P) density (p) and on energy due to explosion (E). establish the relation between T, P, E and p
The time period of oscillations of an air bubble formed by an explosion inside water depends on the pressure (P), density (p), and energy due to explosion (E). The relationship between these factors can be established using the principles of fluid mechanics and the equations for pressure, density, and energy.
The pressure of a gas inside a bubble is related to its volume and temperature, and can be described by the Ideal Gas Law:
P = (nRT)/V
where n is the number of moles of gas, R is the gas constant, T is the temperature, and V is the volume of the gas.
The density of a fluid is related to its mass and volume, and can be described by the equation:
p = m/V
where m is the mass of the fluid and V is its volume.
The energy due to the explosion can be described by the equation:
E = (1/2)mv^2 + P_0V_0 - P_fV_f
where m is the mass of the gas, v is its velocity, P_0 and V_0 are its initial pressure and volume, and P_f and V_f are its final pressure and volume.
By combining these equations and using the principles of fluid mechanics, it is possible to establish a relationship between the time period of the oscillations (T), pressure (P), energy due to the explosion (E), and density (p). However, the exact relationship will depend on the specific conditions of the explosion and the fluid in which it occurs.
________________________________________________________
While running at a constant velocity, how should you throw a ball with respect to you so that you can catch it yourself? Neglect air resistance.
While running at a constant velocity, how should you throw a ball with respect to you so that you can catch it yourself? Neglect air resistance.
A. Straight up
B. Slightly backward
C. It is impossible.
D. Slightly forward
If you are running at a constant velocity, you should throw the ball slightly forward with respect to you so that you can catch it yourself. Therefore, option D is correct.
What is constant velocity?An object is said to be moving at constant velocity when it is moving straight and fast. As a result, the item is not accelerating, which is defined as a change in velocity over time in either direction or speed. In other words, there is no net force acting on an item that is travelling at a constant speed.
If there are no forces acting on an object or if those forces are balanced, the object can have a constant velocity. A car is going with constant velocity, for instance, if it is moving at a constant speed in a straight path on a flat road with no external forces acting on it. Likewise, if a thing is going straight line at a constant speed through a vacuum, with no external forces acting upon it, then it is also moving with constant velocity.
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in which scenario is the change in momentum greatest? coming to a stop by landing on the trampoline. coming to a stop by landing on the ground. the change in momentum is the same for both scenarios.
The change in momentum is greatest when coming to a stop by landing on the ground.
This is because when a person comes to a stop on the ground, the time of impact is shorter than when they come to a stop on a trampoline. Since the force is the rate of change of momentum, a shorter time of impact results in a greater force acting on the body, which leads to a larger change in momentum.
In contrast, when a person lands on a trampoline, the surface is more yielding and will absorb some of the force of impact over a longer time, resulting in a smaller force acting on the body and a smaller change in momentum.
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The surface of the Sun has a temperature of about 5,800 K. The radius of the Sun is 6.96 108 m. Calculate the total energy radiated by the Sun each second. Assume that the emissivity of the Sun is 0.986. 1 W
The total energy radiated by the Sun each second when emissivity of the Sun is 0.986 is 3.85×10²⁶ W .
The power output of the Sun is given by Stefan's law , i.e
P=σAeT 4
=(5.6696×10⁻⁸ W/m².K⁴ )[4π (6.96×10⁸m)² ]×(0.986)(5800K)⁴
=3.85×10²⁶ W
The total energy radiated by the Sun each second when emissivity of the Sun is 0.986 is 3.85×10²⁶ W .
The radiation radiated from an area A of a black body at absolute temperature T is directly proportional to the fourth power of the temperature, according to Stefan Boltzmann's law.
The total energy emitted or radiated by a black body per unit surface area across all wavelengths and per unit time is inversely related to the black body's thermodynamic temperature to the fourth power.
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a 900 kg car driving 20 m/s collides with a 1,100 kg truck going 15 m/s. The vehicle bounce off each other and the car moves back 18 m/s. Whats the velocity of the truck after the collision?
Answer: The velocity of the truck after the collision is 18.2 m/s.
Explanation:
Step 1: Determine the total momentum of the two vehicles before the collision.
Momentum is equal to mass multiplied by velocity (p = mv). The momentum of the car before the collision was 900 kg x 20 m/s = 18,000 kg m/s. The momentum of the truck before the collision was 1,100 kg x 15 m/s = 16,500 kg m/s. The total momentum of the two vehicles before the collision was 34,500 kg m/s.
Step 2: Determine the total momentum of the two vehicles after the collision.
After the collision, the car moves back 18 m/s so the momentum of the car is now 900 kg x (-18 m/s) = -16,200 kg m/s. The momentum of the truck after the collision is not given, so we will use the letter "v" to represent this. The total momentum of the two vehicles after the collision is then -16,200 kg m/s + (1,100 kg x v).
Step 3: Use the law of conservation of momentum to solve for the velocity of the truck.
The law of conservation of momentum states that the total momentum of two objects before a collision is equal to the total momentum of two objects after the collision. This means that 34,500 kg m/s = -16,200 kg m/s + (1,100 kg x v), or 34,500 kg m/s = -16,200 kg m/s + 1,100v. Since we know all of the values on the right side of the equation, we can solve for v by rearranging the equation. We get v = (34,500 kg m/s + 16,200 kg m/s) / 1,100 kg = 18.2 m/s.
Therefore, the Step 1: Determine the total momentum of the two vehicles before the collision.
Momentum is equal to mass multiplied by velocity (p = mv). The momentum of the car before the collision was 900 kg x 20 m/s = 18,000 kg m/s. The momentum of the truck before the collision was 1,100 kg x 15 m/s = 16,500 kg m/s. The total momentum of the two vehicles before the collision was 34,500 kg m/s.
Step 2: Determine the total momentum of the two vehicles after the collision.
After the collision, the car moves back 18 m/s so the momentum of the car is now 900 kg x (-18 m/s) = -16,200 kg m/s. The momentum of the truck after the collision is not given, so we will use the letter "v" to represent this. The total momentum of the two vehicles after the collision is then -16,200 kg m/s + (1,100 kg x v).
Step 3: Use the law of conservation of momentum to solve for the velocity of the truck.
The law of conservation of momentum states that the total momentum of two objects before a collision is equal to the total momentum of two objects after the collision. This means that 34,500 kg m/s = -16,200 kg m/s + (1,100 kg x v), or 34,500 kg m/s = -16,200 kg m/s + 1,100v. Since we know all of the values on the right side of the equation, we can solve for v by rearranging the equation. We get v = (34,500 kg m/s + 16,200 kg m/s) / 1,100 kg = 18.2 m/s.
Therefore, the velocity of the truck after the collision is 18.2 m/s.
how long will it take the goose to cover a ground distance of 550 km from north to south? (note: even on cloudy nights, many birds can navigate using the earth's magnetic field to fix the north-south direction.)
The goose will take 8.55 hours to travel 550 km at their average speed of 64.3km/h.
The goose average speed is around 40 mph or 64.3 km/h, but in good weather and wind conditions this speed can go up to 70 mph or 112 km/h
Considering the formula:
x = v.t
were x=space, v=speed and t= time. Clearing the equation, to find the hours of flight:
t = x/v = 550km / 64.3km/h = 8.55 hours
Average speed is a useful concept in many fields, including physics, engineering, and transportation. It can be used to calculate travel times, estimate fuel consumption, and analyze the performance of machines and vehicles. However, it is important to note that average speed does not take into account changes in direction or acceleration, which can affect the overall performance of an object.
Average speed is a measure of how quickly an object moves over a certain distance. It is defined as the total distance traveled divided by the time it takes to travel that distance. The units of average speed are usually expressed as distance per unit time, such as kilometers per hour, miles per hour, or meters per second.
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if all of the dimensions of the block double (to become 20 cm wide, 8 cm tall, and 6 cm deep), what happens to the resistance along each axis?
The resistance of the block to motion along each axis will also increase by a factor of 8.
The resistance of a block to motion in a particular direction is determined by its mass and the coefficient of friction between the block and the surface.
Assuming that the surface and the coefficient of friction remain the same, and the block's density is also constant, the mass of the block will increase by a factor of
[tex]2^3 = 8[/tex] when all of its dimensions double.
Therefore, the resistance of the block to motion along each axis will also increase by a factor of 8. This is because the force required to move the block along each axis is proportional to the mass of the block, and the mass is directly proportional to the volume of the block, which in turn is proportional to the product of its three dimensions.
In other words, if the original block had a certain resistance to motion along each axis, the new, larger block will require eight times the force to be moved along each axis, as its mass will be eight times greater.
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Do some research and find out the acceleration due to gravity on the Moon and on each planet
listed in the table. For each site, calculate the gravitational force that would act on a 70-kilogram
person on the surface of each site. Use your calculations to complete the table. Remember to
use the same units in each calculation.
Planet or Moon
Venus
Earth
Earth's Moon
Mars
Jupiter
Acceleration due to gravity
Force experienced by 70 kg
person
The acceleration due to gravity varies according to the size of the planet.
What is the list of the acceleration due to gravity on the moon and on all the planets?Here is a list of the acceleration due to gravity (g) on the Moon and on the planets in our Solar System:
Moon:
g = 1.62 m/s^2
Mercury:
g = 3.7 m/s^2
Venus:
g = 8.87 m/s^2
Earth:
g = 9.8 m/s^2
Mars:
g = 3.71 m/s^2
Jupiter:
g = 24.79 m/s^2
Saturn:
g = 10.44 m/s^2
Uranus:
g = 8.87 m/s^2
Neptune:
g = 11.15 m/s^2
It's worth noting that the acceleration due to gravity is affected by the mass and size of a celestial body. Larger and more massive objects have a stronger gravitational pull and therefore a higher acceleration due to gravity.
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