(a) A 1.204-meter pendulum on Earth swings for 2.2 seconds. (b) Mars' 0.454-meter pendulum swings for 2.2 seconds. (c) A 0.389-kilogram spring-suspended mass would survive 2.2 seconds on Earth. (d) Mars' 0.454-kilogram spring-suspended mass would last 2.2 seconds.
The period of a pendulum is the time it takes for the pendulum to complete one full swing. The formula for the period of a pendulum is given by T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.
(a) We can rearrange the formula to solve for L, the length of the pendulum with a 2.2-second period on Earth. The formula can be substituted using Earth's gravity acceleration of 9.8 m/s2.
2.2 = 2π√(L/9.8)
To solve for L, we square both sides of the equation:
4.84 = 4π^2(L/9.8)
L/9.8 = 4.84/(4π^2)
L/9.8 ≈ 0.1229
L ≈ 0.1229 * 9.8
L ≈ 1.204 m
So, a pendulum with a length of approximately 1.204 meters on Earth would have a period of 2.2 seconds.
(b) On Mars, the acceleration due to gravity is 3.7 m/s^2, thus we can apply the same formula to get the length of the pendulum with a period of 2.2 seconds:
2.2 = 2π√(L/3.7)
To solve for L, we square both sides of the equation:
4.84 = 4π^2(L/3.7)
L/3.7 = 4.84/(4π^2)
L/3.7 ≈ 0.1229
L ≈ 0.1229 * 3.7
L ≈ 0.454 m
So, a pendulum with a length of approximately 0.454 meters on Mars would have a period of 2.2 seconds.
(c)Hooke's Law determines the spring-mass that would take 2.2 seconds on Earth. Hooke's Law states that spring force increases with displacement from equilibrium. F = kx is the formula for energy, spring force constant, and displacement.
The period of a mass-spring system is given by T = 2π√(m/k), where T is the period, m is the mass, and k is the force constant.
Since we are given the period (2.2 seconds), we can rearrange the formula to solve for m:
2.2 = 2π√(m/10)
To solve for m, we square both sides of the equation:
4.84 = 4π^2(m/10)
m/10 = 4.84/(4π^2)
m/10 ≈ 0.0389
m ≈ 0.0389 * 10
m ≈ 0.389 kg
So, a mass of approximately 0.389 kilograms suspended from the spring would result in 2.2 seconds on Earth.
(d) To find the mass suspended from the spring that would result in a period of 2.2 seconds on Mars, we can use the same formula but substitute the value of the acceleration due to gravity on Mars, which is 3.7 m/s^2:
2.2 = 2π√(m/3.7)
To solve for m, we square both sides of the equation:
4.84 = 4π^2(m/3.7)
m/3.7 = 4.84/(4π^2)
m/3.7 ≈ 0.1229
m ≈ 0.1229 * 3.7
m ≈ 0.454 kg
So, a mass of approximately 0.454 kilograms suspended from the spring would result in 2.2 seconds on Mars.
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which of the three curves show the speed of an object that is beginning to experience significant air resistance?
The curve B show the speed of an object that is beginning to experience significant air resistance.
Definition of Air ResistanceBy definition, air resistance describes a force that opposes the relative motion of an object as it passes through air. This attractive force acts opposite to the speed of the oncoming stream, thereby slowing the object down.
Unlike other resistance forces, drag depends directly on velocity, as it is a component of the net aerodynamic force acting in the opposite direction of motion.
Air resistance is usually calculated using the "equation of gravity", which determines the force experienced by an object moving through a liquid or gas at a relatively large speed.
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the mean time period of a simple pendulum is 1.92 s. mean absolute error in the time period is 0.05 s. to express the maximum estimate of error, the time period should be written
To express the maximum estimate of the error in the time period of a simple pendulum, we can use the formula:
Maximum Estimate of Error = Mean Absolute Error + (Standard Deviation / √n)
Here, we are given that the mean time period of the simple pendulum is 1.92 s and the mean absolute error is 0.05 s. However, we do not have information about the standard deviation or the sample size (n).
Without knowing the standard deviation and sample size, we cannot accurately calculate the maximum estimate of error. The standard deviation indicates how much variation there is in the data, while the sample size indicates how representative the data is of the entire population.
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1. What is the difference between instantaneous speed and average speed?
2.What is the equation used for calculating average speed when an object is uniformly accelerating?
Sound travels slowest through what temperature of water?.
Answer:
20 degrees.
Explanation:
this is my answer hope that I will help you
What is the speed of a
rocket that travels
8,000m in 13 seconds?
Answer:
speed of rocket=615.38m/s
Explanation:
photoelectron energy Radiation with an energy of 4.2 eV strikes a photocell. If the work function of the photocell is 2.31 eV, what is the energy of the ejected photoelectron?
Equation Sheet:
E = nhf
E = hf
KE= -eΔVo
h = 6.62607004 x 10^-34 m^2 kg/s
E = hc / λ = 1240 eV . nm/λ
KE = hf - hf0
Electron (mc) 9.109 xx 10^-33 kg
e = 1.60 x 10^-19 C
p = hf/c = h/ λ
λ = h/p = h/mv
The energy of the ejected photoelectron is 1.89 eV.
Energy of radiation, E = 4.2 eV Work function of photocell, φ = 2.31 eV
Energy of ejected photoelectron is given by the difference of the energy of incident radiation and the work function of the metal. That is, KE = hυ - φ where, h is Planck's constant, υ is the frequency of radiation, c = λυ is the speed of lightλ is the wavelength of radiation and c is the speed of light.
From the energy formula of radiation, E = hυE = hc / λ, by substituting h and c values
KE = hc / λ - φ
Given, h = 6.626 x 10^-34 J-s, c = 3 x 10^8 m/s
λ = hc / E
= (6.626 x 10^-34 J-s x 3 x 10^8 m/s) / (4.2 eV x 1.6 x 10^-19 J/eV)
= 4.93 x 10^-7 m
KE = hc / λ - φ
= (6.626 x 10^-34 J-s x 3 x 10^8 m/s) / (4.93 x 10^-7 m) - (2.31 eV x 1.6 x 10^-19 J/eV)
= 1.89 eV
Therefore, the energy of the ejected photoelectron is 1.89 eV.
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A race car travels 900 meters in 5 seconds with a constant velocity. Find the velocity of the race car in m/s
Answer:
180 m/s
Explanation:
To find the answer you simply divide 900 by 5.
from which end (north or south) of a bar magnet do magnetic field lines emerge? south north
Magnetic field lines of a bar magnet emerge from the North pole and enter the South pole.
In other words, the magnetic field lines extend outward from the North pole and form a loop to enter the South pole. This convention follows the direction of the magnetic field flow, where the North pole of a magnet is considered the source of the field.
Magnetic field lines are a visual representation used to illustrate the direction and strength of magnetic fields. They form continuous, closed loops around a magnet, with the lines emerging from the North pole and entering the South pole. The density of the field lines indicates the strength of the magnetic field at different points.
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5. Which of the following is NOT a course goal?
For students to understand fitness principles
For students to establish a habit of physical activity
For students to do nothing
For students to enhance their level of physical fitness
Answer:
for students to do nothing
Explanation:
because doing nothing is not a course goal
how does the kinetic energy of particles relate to the temperature of the substance containing those particles, also show the equation that relates kinetic energy and temperature.
Answer:
The speed of molecules in an "ideal" gas is related to the temperature
Advanced work indicates that
1/2 m v^2 = 3/2 k T where v^2 here is the mean square speed
This is true for H2, He, O2, Hg etc. and m is the molecular mass and k the Boltzmann constant
If you have fewer than __ data points/values, you cannot remove any of them as an outlier (i.e. the grubbs test is irrelevant).
If you have fewer than three data points/values, you cannot remove any of them as an outlier (i.e., the Grubbs test is irrelevant).
The Grubbs test is a statistical method used to detect outliers in a dataset.
It is based on the assumption that the data follow a normal distribution. The test identifies extreme values that deviate significantly from the mean of the dataset.
To perform the Grubbs test, you need a minimum number of data points. Specifically, you need at least three data points to calculate the test statistic and determine if any values should be considered outliers.
If you have fewer than three data points, it is not possible to perform the Grubbs test because there are not enough data points to analyze and identify outliers. In such cases, the test becomes irrelevant since there are no values to evaluate for potential outliers.
Therefore, if you have fewer than three data points or values in your dataset, the Grubbs test cannot be applied, and the concept of outliers becomes irrelevant in this context.
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how do extrusive igneous rocks form
Answer:
igneous rock is produced when magma exits and cools above (or very near) the Earth's surface. These are the rocks that form at erupting volcanoes and oozing fissures.
A scientist designed an experiment to test the effect of temperature on bacterial growth. He grew three different cultures of the bacterium E. coli under three heat lamps at different temperatures.
Write a hypothesis that he may be testing
Answer:
Depending on the tempetures he's most likly looking to see what temp it will grow under and which one grows the fastest
Explanation:
Answer:
Depending on the tempetures he's most likly looking to see what temp it will grow under and which one grows the fastest
Explanation:
what class lever is a chest pass in netball?
Answer:
BASETBALL
Explanation:
1) Un cuerpo se mueve desacelerando a razón de 8m/s2, calcula: a) La velocidad que tenía 5 segundos antes de detenerse. b) La distancia recorrida los últimos 5 segundos de su trayectoria.
Answer:
Initial velocity (u) = 40 m/s
Distance travel in last 5 seconds = 100 m
Explanation:
Given:
Acceleration (a) = 8 m/s²
Final velocity (v) = 0 m/s
Find;
1] Initial velocity before 5 sec
2] Distance travel in last 5 seconds
Computation:
1] Initial velocity before 5 sec
v = u + at
0 = u + (-8)(5)
u - 40 = 0
Initial velocity (u) = 40 m/s
2] Distance travel in last 5 seconds
s = ut + (1/2)(a)(t²)
s = (40)(5) + (1/2)(-8)(5²)
s = 200 - 100
Distance travel in last 5 seconds = 100 m
_______ is a huge reddish loops of gas that often link different parts of sunspot regions.
Solar Prominence is a huge reddish loop of gas that often link different parts of sunspot regions.
What is a Solar Prominence?
A solar prominence is a large, loop-like structure of plasma that extends from the Sun's surface into its outer atmosphere. Prominences are often associated with sunspot regions and can span hundreds of thousands of kilometers. They are composed of charged particles, primarily hydrogen and helium, that are held in place by the Sun's magnetic field. The reddish color is due to the emission of light in the hydrogen alpha spectral line. Solar prominences are dynamic structures that can erupt and release huge amounts of energy into space, in the form of coronal mass ejections.
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.
The Fastest Moving Planet In A Solar System Is:? A. The Smallest Planet. B. Any Planet, Because They All Move At The Same Speed. C. The Planet Nearest The Sun. D. The Planet Farthest From The Sun.
The planet that moves the fastest in a solar system is the planet nearest the Sun.
The correct option is C. The Planet Nearest The Sun.
What is a Solar System?
A solar system is a collection of planets, moons, comets, asteroids, and other objects that revolve around a single star. The sun is the center of our solar system, and it includes all of the matter and energy that orbits around it, including Earth and all the other planets.
Sun, the star around which Earth and the other planets of the solar system revolve, has a huge gravitational field. Planets move around the sun in a fixed orbit at varying speeds, depending on their distance from the sun. Because planets are closer to the sun, their gravitational pull is greater, resulting in a faster orbital speed for them.
The planet nearest the sun in the solar system is Mercury. Due to its proximity to the sun, it orbits at a speed of around 48 km/s, making it the fastest planet in the solar system, with an orbital period of 88 Earth days.
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What is the relationship between dipole moments and the magnitude of the partial charges?.
The relationship between dipole moments and the magnitude of the partial charges is that they are directly proportional
What is relationship between dipole moments and the magnitude of the partial charges ?The dipole moment increases with the magnitude of the electronegativity difference. The size of the dipole moment is also determined by the charge separation distance. A measurement of a molecule's polarity is its dipole moment.
The bond dipole moment's size depends on the atoms' distance from one another and their partial charges. Because not all polar molecules have the same amount of a dipole moment, not all molecules are equally impacted by electric fields.
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A boy rolls a toy car across a floor with a velocity of 3.21 m/s. How long does it take the car to travel a distance of 4.50 m?
Answer:
Time taken for the car to travel a distance of 4.50 m = 1.40 seconds
Explanation:
velocity of toy car = 3.21 m/s
distance travelled by toy car = 4.50 m
Time = ?
\(Velocity = \frac{Distance}{Time} \\Time =\frac{Distance}{Velocity}\)
\(Time = \frac{4.50}{3.21} \\Time = 1.40s\)
Therefore, the time taken for the car to travel a distance of 4.50 m = 1.40 seconds
Physics - Vectors-- Could you help me please?
Answer:
please share the question
Explanation:
1. A tram starts from a stop with an acceleration of 3[m/s²]. calculate the force acting on a man of mass m=50[kg]. 2. A tram approaching a stop changes its speed from 72 [km/h] to 0 [km/h] in 20 seconds. Calculate the braking force of the tram
The braking force of the tram is 25 kN, with a negative sign indicating that it is in the opposite direction to the initial motion of the tram.
What is Force?
Force is a physical quantity that can change the state of motion or shape of an object. It is defined as any influence that causes an object to undergo a change in velocity or direction. Force can be measured in Newtons (N) and is represented by the symbol F. The magnitude of the force can be calculated as the product of mass and acceleration, or as the rate of change of momentum over time. Force is a vector quantity, meaning it has both magnitude and direction.
To calculate the force acting on the man, we can use Newton's second law, which states that force is equal to mass times acceleration: F = m * a. Plugging in the given values, we get:
F = 50 kg * 3 m/s² = 150 N
Therefore, the force acting on the man is 150 N.
To calculate the braking force of the tram, we can use the equation:
a = (v_f - v_i) / t
where a is the acceleration, v_f is the final velocity, v_i is the initial velocity, and t is the time interval.
We are given that the initial velocity is 72 km/h, which we need to convert to m/s:
v_i = 72 km/h * (1000 m/km) / (3600 s/h) = 20 m/s
We are also given that the final velocity is 0 km/h, or 0 m/s. Finally, we are given that the time interval is 20 seconds.
Plugging these values into the equation for acceleration, we get:
a = (0 m/s - 20 m/s) / 20 s = -1 m/s²
The negative sign indicates that the acceleration is in the opposite direction to the initial motion of the tram, which is the direction of the braking force.
To calculate the braking force, we can again use Newton's second law, F = m * a, where m is the mass of the tram. We are not given the mass of the tram, but we can use the formula for kinetic energy to relate the mass, velocity, and braking force:
K = (1/2) * m * v_i^2
where K is the kinetic energy of the tram. At the beginning of the braking process, all of the kinetic energy of the tram is being dissipated by the braking force, so we can equate the kinetic energy to the work done by the braking force:
K = F * d
where d is the distance over which the braking force acts.
We are not given the distance over which the braking force acts, but we can solve for it using the formula for average velocity:
v_avg = d / t
At the beginning of the braking process, the average velocity is equal to the initial velocity, so we can write:
v_i = d / t
Solving for d, we get:
d = v_i * t = 20 m/s * 20 s = 400 m
Now we can plug in the values for mass, velocity, distance, and acceleration to solve for the braking force:
K = (1/2) * m * v_i^2
F * d = (1/2) * m * v_i^2
F = (1/2) * m * v_i^2 / d
F = (1/2) * m * v_i^2 / (v_i * t)
F = (1/2) * m * v_i / t
F = (1/2) * m * (-1 m/s²)
F = -25 m * kg/s²
F = -25 kN
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The photograph shows matter going through a physical change. Which characteristic of the matter changes?
A. shape.
B. shininess.
C. state.
D. type of atoms
Answer:
Possibly shape.
Explanation:
Because it is ripped in half. As you guys and the questioner can see that there is a wiggly strip down the middle. That also cause of a shape change.
I really hope my answer is right ^_^
The characteristic of matter which is undergoing change in the picture is it's shape as it is being teared apart.
What is matter?Matter in chemistry, is defined as any kind of substance that has mass and occupies space that means it has volume .Matter is composed up of atoms which may or not be of same type.
Atoms are further made up of sub atomic particles which are the protons ,neutrons and the electrons .The matter can exist in various states such as solids, liquids and gases depending on the conditions of temperature and pressure.
The states of matter are inter convertible into each other by changing the parameters of temperature and pressure.Matter possesses both particle and wave characteristics.Phase is a form of matter having uniform composition as well as physical properties.
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Select the correct answer. If the resistance remains constant and the voltage doubles, what effect will that have on the power? A. The power will remain the same. B. The power will decrease by a factor of 2. C. The power will decrease by a factor of 4. D. The power will increase by a factor of 2. E. The power will increase by a factor of 4.
If the resistance remains constant and the voltage doubles, the power will increase by a factor of 4 (option E)
How do i determine the new power?The following data were obtained from the question:
Initial power (P₁) = PInitial voltage (V₁) = VResistance = ConstantNew voltage (V₂) = 2VNew power (P₂) =?P = V² / R
Resistance is constant, we have
V₁² / P₁ = V₂² / P₂
V² / P = (2V)² / P₂
V² / P = 4V² / P₂
Cross multiply
V² × P₂ = P × 4V²
Divide both side by V²
P₂ = P × 4V² / V²
P₂ = P × 4
From the above, we can conclude that the power will increase by a factor of 4 (option E)
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A soccer ball is kicked upward from a height of 6 ft with an initial velocity of 96 ft/s. How high will it go? Use -32 ft/s? forthe acceleration caused by gravity. Ignore air resistance.
Given,
The initial height of the soccer ball, h₁=6 ft
The initial velocity of the ball, u=96 ft/s
The acceleration due to gravity, g=-32 ft/s
When the ball reaches the maximum height, its velocity will reduce to zero.
Thus the velocity of the ball when it is at its maximum height is v=0 ft/s
From the equation of motion,
\(v^2-u^2=2gh_2\)Where h₂ is the total height covered by the ball from its initial height to reach its maximum height.
On substituting the known values,
\(\begin{gathered} 0-96^2=2\times-32\times h_2 \\ \Rightarrow h_2=\frac{-96^2}{2\times-32} \\ =144\text{ ft} \end{gathered}\)Thus the maximum height reached by the ball is,
\(\begin{gathered} H=h_1+h_2 \\ =6+144 \\ =150\text{ ft} \end{gathered}\)Thus the maximum height reached by the ball is 150 ft.
Q3: How does the way the wings of these insects make sounds compare to the way that instruments make
sounds?
The north pole of a bar magnet is moved close to the north pole of a second bar magnet. What prediction best describes how the first magnet responds when it is released? It will move toward the second magnet because like poles repel. It will move toward the second magnet because like poles attract. It will move away from the second magnet because like poles repel. It will move away from the second magnet because like poles attract.
Answer:
C. It will move away from the second magnet because like poles repel.
Explanation:
Answer:
C
Explanation:
We have not yet found meteoroids and meteorites derived from
A) Venus.
B) the Moon.
C) Mars.
D) asteroids.
E) comets.
We have not yet found meteoroids and meteorites derived from option (B) the Moon.
Meteoroids are small celestial bodies that orbit the Sun and can vary in size from tiny dust particles to larger rocks. When a meteoroid enters the Earth's atmosphere and burns up due to friction, it is called a meteor. If a meteoroid survives the journey through the atmosphere and lands on the Earth's surface, it is called a meteorite.
Meteorites can come from various sources in the solar system, including asteroids, comets, and even other planets like Mars. Scientists have identified and studied meteorites originating from these sources. They provide valuable insights into the composition, history, and processes occurring in these celestial bodies.
However, when it comes to the Moon, no meteoroids or meteorites have been identified as originating from it. This is due to several factors. The Moon's surface lacks a significant atmosphere to slow down incoming meteoroids, causing them to impact the surface at high speeds, which can result in their destruction or disintegration. Additionally, the Moon's relatively weak gravitational field makes it more challenging for meteoroids to be captured and retained as meteorites.
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Ram travel 50metre on a straight road in 30second . hari covers the same distance on the same road in 45s . who has done more work ? who has more ? Explain in short
Answer:
The ram has done more work because the rate at which the ram work is 1.6m/s and Hari is 1.1m/s
The urban legend of the car thief is an example of what theme?
Societal Change
A Common Fear
A Cautionary Tale
A Prank
The urban legend of the car thief is an example of A Cautionary Tale.
What is the Cautionary Tale?A cautionary tale makes reference to a given tale aimed at the warning the person of some type of danger, which is generally used to alert about a given behavior and may be very useful to modify a behavior pattern in children.
Therefore, with this data, we can see that A cautionary tale is based on warning and can help to modify certain behavior in c children depending on the ability to create conscious.
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Indicate the direction of the magnetic force. A positive charge travels to the right of the page through a magnetic field that points into the page. Which way does the magnetic force point?
A. Up along the page
B. Down along the page
C. Left
D. Right
PLS HELP ㅠㅠ
Explanation:
A. Up along the page
Using the law of the right hand