The time period of a simple pendulum is defined as the time taken by the pendulum to finish one full oscillation .
Time period (T) of a simple pendulum = 2π[tex]\sqrt{l/g}[/tex]
given :
Time period (T1) = 3.8 second
L1 = ?
Time period (T1) = 2π[tex]\sqrt{L1/g}[/tex]
3.8 sec = 2 * 3.14 [tex]\sqrt{L1/9.8}[/tex]
squaring both the sides
14.44 = 39.44 * ( L1 / 9.8 )
L1 = 35.16 m
since , the length of the pendulum is doubled
L2 = L1*2 = 35.16 * 2 = 70.32 m
Let the period t of the longer pendulum will be = T2
Time period (T2) = 2π[tex]\sqrt{L2/g}[/tex]
= 2 * 3.14 [tex]\sqrt{70.32/9.8}[/tex]
= 16.83 seconds
The time period t of the longer pendulum will be 16.83 seconds
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Final answer:
Doubling the length of a simple pendulum increases its period according to the square root of 2, resulting in a new period of approximately 5.37 seconds from the original 3.8 seconds.
Explanation:
The question asks about the effect of doubling the length of a simple pendulum on its period. To approach this, we rely on the formula for the period of a simple pendulum: T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. Doubling the length of the pendulum means that we replace L with 2L in the formula, which affects the period.
To find the new period after doubling the length, we calculate T'= 2π√(2L/g). This can be simplified to T' = T√2, given that T is the original period. Since the original period is given as 3.8 seconds, we calculate the new period as 3.8√2, which approximates to 5.37 seconds.
Determine whether the zero state is a stable equilibrium of the dynamical system
How can a series of synoptic weather maps be used to predict the future location of a low pressure center?
A series of synoptic weather maps help us to predict the future location of low-pressure systems by tracking the direction of the wind, the front locations, and the centers of high pressure, and also the location of the jet stream and how strong it is. The synoptic weather maps are used to acquire a complete photo of the place under surveillance. Along with computers, the maps are used to define a forecast.
The distance from the top of one sound wave to the top of the next sound wave is called
What is the approximate distance from the center of the milky way galaxy to the sun? select one:
a. 0 light years - the sun is at the center
b. 280 light years
c. 2,800 light years
d. 28,000 light years
e. 280,000 light years?
If the motor exerts a force of F = (600 + 2s2) N on the cable, determine the speed of the 100-kg crate when it rises to s = 15 m. The crate is initially at rest on the ground.
Answer:
Speed of the 100 kg crate, v = 136 m/s
Explanation:
It is given that,
Force exerted by a motor, F = (600+2 s²) N
mass of the crate, m = 100 kg
We have to find the speed of the crate. Force is given by the product of mass and acceleration.
F = m a
g is acceleration due to gravity
[tex]F=m\dfrac{d^2s}{dt^2}[/tex]
[tex]\dfrac{d^2s}{dt^2}=\dfrac{600+2s^2}{100}[/tex]
[tex]\dfrac{d^2s}{dt^2}=6+0.02s^2[/tex]
[tex]\dfrac{d^2s}{dt^2}-6-0.02s^2=0[/tex]
or
s"- 6 - 0.02 s² = 0
On solving the above differential equation using calculator with when initially the crate is at rest s(0) = 0 and s'(0) = 15 m
[tex]s(t)=150\ e^{-\sqrt{2}t}+150\ e^{\sqrt{2}t}-300[/tex]
Differentiating above equation w.r.t t to get velocity of the crate.
So, v = 136 m/s
Hence, this is the required solution.
Light cannot escape the intense gravitational pull of a _____.
Light cannot escape the intense gravitational pull of a black hole.
What is a black hole?A black hole is a region of space where gravity is so strong that nothing, not even light, can escape. Black holes are formed when massive stars collapse at the end of their lives. The force of gravity is so strong that even the light waves cannot escape the black hole's event horizon.
The event horizon is the boundary around a black hole from which nothing, not even light, can escape. The event horizon is a sphere of space-time around the black hole where the escape velocity is equal to the speed of light.
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Which of the following describes groundwater?
Groundwater is a renewable resource.
Groundwater flows quickly.
Groundwater exists only in regions that get a lot of rain.
Groundwater does not exist during dry periods.
Answer: Groundwater exists only in regions that get a lot of rain.
Groundwater is the reservoir of water this water accumulates in the ground surface or subsurface of the earth crust through tiny pores and fractures in the rocks. The source of water are streams of rivers, oceans, lakes and large depositing is because of water from the rain and melting of the snow. It is a source of freshwater in nature.
According to the above description, Groundwater exists only in regions that get a lot of rain can be considered as correct option.
A block with mass m =7.4 kg is hung from a vertical spring. when the mass hangs in equilibrium, the spring stretches x = 0.23 m. while at this equilibrium position, the mass is then given an initial push downward at v = 3.9 m/s. the block oscillates on the spring without friction. 1 what is the spring constant of the spring?
Electromagnetic waves are ____ waves consisting of changing electric and magnetic fields
Combing equal amounts of the three primary pigments produces ?
Electromagnetic waves are transverse waves consisting of changing electric and magnetic fields, and combining primary pigments results in black or dark gray.
Explanation:Electromagnetic waves are transverse waves that consist of changing electric and magnetic fields. These fields oscillate at right angles to each other and to the direction of wave propagation. The movements of these fields generate each other, and this interaction forms the electromagnetic wave.
The second part of your question, concerning pigments, seems a bit out of context as it deals with a subject in color theory, from the field of Art or Physics. However, I can tell you that combining equal amounts of the three primary pigments (cyan, yellow, and magenta) results in the production of black or a very dark gray.
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When you use a graduated cylinder in the lab, you can use it only to find the volume of liquids.
True or False?
False, you can't only use it to find the volume of liquids
The given statement is false.
VolumeAt its most fundamental level, volume exists absolutely as a measure of space. When calculating the volume of a liquid, sometimes directed to as capacity, the units liters (L) and milliliters (mL) exist used. Devices used for this measurement include graduated cylinders, beakers, and Erlenmeyer flasks.
Graduated cylinders arrive in a range of sizes, or volume capacities, and much like a measuring cup, volume stands measured by adding liquid to the cylinder and corresponding the liquid level to the graduated scale. The measured volume compares to the volume of liquid contained in the cylinder.
The given statement is false. you can't only use it to find the volume of liquids.
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In terms of speed, frequency, or wavelength, explain why when watching a baseball game you often see the batter swing before you hear the sound of the bat making contact with the ball.
As thunder travels away from a lightning channel, the amplitude (loudness) of the sound ____ by ____ as the distance from the channel doubles.
As a sound wave moves away from its source, its amplitude decreases due to an inverse square relationship, meaning it is divided by four as the distance doubles. The decrease is also due to energy spread over a larger area, absorption by objects, and conversion into thermal energy.
Explanation:As thunder, which is a form of sound wave, travels away from a lightning channel, the amplitude (loudness) of the sound decreases by one-quarter as the distance from the channel doubles. This happens due to an inverse square relationship with distance from the source. Essentially, as the sound wave moves further away from its origin, the intensity declines because the energy of the wave is spread over a larger area.
Moreover, the amplitude of a sound wave decreases with distance from its source also due to factors like absorption by objects and conversion to thermal energy by the viscosity of air. Thus, the further away you are from the source of the sound, in this case, the lightning channel, the softer the thunder will sound.
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At a particular instant, a stationary observer on the ground sees a package falling with speed v1 at an angle to the vertical. to a pilot flying horizontally at constant speed relative to the ground, the package appears to be falling vertically with a speed v2 at that instant. what is the speed of the pilot relative to the ground?
When two velocities combine, to a ground observer, a package dropped from a plane falls at an angle, but to a pilot moving with the package, it appears to fall vertically. Using Pythagorean theorem, we calculate the speed of the pilot as √(v1^2 - v2^2).
Explanation:This is a Physics problem that deals with relative velocities. We need to evaluate what is observed by two different observers stationed at different places. The first observer is stationary and they view the package at an angle with the speed v1. The second is a pilot who perceives the same package dropping vertically with the speed v2.
In this scenario, the package has two independent velocities, a horizontal one (which is the speed of the airplane), and a vertical one (which is the speed of the package falling down). To the observer on the ground (which is stationary), both these speeds combine, resulting in the package falling at an angle. But to the pilot, who moves with the package horizontally, only sees the vertical fall. Therefore, they perceive the package falling downwards with the speed v2.
Using the Pythagorean theorem for velocity addition for perpendicular components, we know that v1^2 = (speed of the pilot)^2 + v2^2. Therefore, using algebra, we find the speed of the pilot to be √(v1^2 - v2^2).
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Which statement best compares the accelerations of two objects in free fall?
Hello. This question is incomplete. The full question is:
"Which statement best compares the accelerations of two objects in free fall? 1.The heavier object has a greater acceleration. 2.The object that has the greater surface area has the lower acceleration 3. The object that has the smaller mass has the greater acceleration 4.The objects have the same acceleration "
Answer:
The objects have the same acceleration.
Explanation:
The free fall movement was studied by the Italian physicist Galileo Galilei. According to his studies, Galileo showed that bodies in free fall, even those of different masses, would reach the ground at the same time, as they would be subject to the same acceleration. The free fall is, therefore, a movement described by the bodies, abandoned at a certain height, which happens exclusively by the effect of local gravity. In this type of movement, we disregard the effect of drag or friction forces.
Temperature refers to the _____. A. amount of heat energy in an object B. arrangement of the atoms in matter C. average kinetic energy of the particles in a substance D. pressure exerted by atoms on anything that touches them
A plane can fly 300 miles in the same time as it takes a car to go 150 miles. if the car travels 90 mph slower than the plane, find the speed of the plane.
What is the momentum of an object that is moving in a straight line at a speed of 10 m/s and has a mass of 10 kilograms?
A. 10 m/s
B. 100 kg-m/s
C. 100 m/s2
What does the word “adverse” mean in the following sentence? Adverse reactions, such as fever and headache, can occur if the medication is not taken properly.
a. important
b. happy
c. tricky
d. unfavorable?
Answer: d. unfavorable
Explanation:
Here, the word adverse means unfavorable. This is because of the fact that if the medication is not taken properly it is likely to affect the health of the living being and may lead to the development of unfavorable symptoms or drastic health complications such as fever and headache.
Answer:
B
Explanation:
This answer is correct because, Robinson was 36 and starting to feel the effects of his age. In 1956 he did not dominate the league as much as he used to, partially because of the adverse effects of the diabetes he suffered from. It says he was not playing as well because of the negative effects of diabetes so the answer is B, to negatively prevent.
Calculate the number of moles of oxygen in a 12.5-l tank if the pressure is 25325 kpa and the temperature is 22°c
Using the Ideal Gas Law (PV=nRT), we calculate that there are approximately 128.94 moles of oxygen in a 12.5 L tank at a pressure of 25325 kPa and a temperature of 22°C.
To calculate the number of moles of oxygen in a 12.5 L tank at a pressure of 25325 kPa and a temperature of 22°C, we use the Ideal Gas Law, which is given by:
PV = nRT
Here, P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.
First, convert the temperature to Kelvin:
T = 22°C + 273.15 = 295.15 K
Next, convert the pressure to atm:
P = 25325 kPa × 0.00986923 atm/kPa ≈ 249.94 atm
Using the gas constant R = 0.0821 L·atm/(mol·K), we substitute the values into the Ideal Gas Law:
n = PV / RT = (249.94 atm × 12.5 L) / (0.0821 L·atm/(mol·K) × 295.15 K)
Solving this:
n ≈ (3124.25 atm·L) / (24.229215 mol·K)
n ≈ 128.94 moles
Therefore, under the given conditions, there are approximately 128.94 moles of oxygen in the tank.
What is menat by the age of the universe? how old is the universe?
No one is exactly sure. But its estimated to be 14 billion years old.
Cells often store materials like water, salts, proteins and carbohydrates in sac-like structures called
a.chloroplasts.
b.lysosomes.
c.mitochondria.
d.vacuoles.
Answer: Vacuoles
Explanation: Vacuoles are large bubble found in the cells. They are found both in plants and animals.
The vacuoles found in the animal cells are comparatively smaller as compared to plants.
They store food or any other variety of nutrients that the cell might need in order to survive. Those substances can be carbohydrates, protein, salts and proteins.
They can also store the waste materials of the cell.
A motorcycle traveling at 15 m/s accelerates at a constant rate of 4.0 m/s over a distance of 50 meters. What is the final velocity of the motorcycle
Which statement is true about tomato juice? A) It is an acid. B) It has a pH of 7.0. Eliminate C) It is strongly basic in nature. D) It is a weak hydrophobic substance.
In which region of the electromagnetic spectrum is most of earth's outgoing terrestrial radiation?
Most of Earth's outgoing terrestrial radiation is in the infrared region of the electromagnetic spectrum, particularly around 11,000 nm. This infrared radiation is a key component of the Earth's energy budget and contributes to the greenhouse effect.
Explanation:Most of Earth's outgoing terrestrial radiation is in the infrared region of the electromagnetic spectrum. The temperature of Earth's surface determines the wavelength and the intensity of the radiation it emits. Since the Earth's surface is cooler than the sun, its radiation peaks at longer wavelengths, specifically around 11,000 nm (nanometers), which falls within the infrared range. Approximately 99% of Earth's outgoing radiation is between 3,000 nm and 40,000 nm. It is important to note that while this radiation is invisible to the human eye, it plays a critical role in the Earth's energy budget and is key to the greenhouse effect. Gases such as water vapor, carbon dioxide, and methane absorb part of the Earth's radiation, which in turn warms the atmosphere.
Knowing the constant g what will the gravitational force between two masses be if the gravitational force between them is 36n and the distance is tripled? answer
Final answer:
The gravitational force between the two masses will be 4 N.
Explanation:
The gravitational force between two masses is given by the formula F = G * (M1 * M2) / R^2, where F is the force, G is the universal gravitational constant, M1 and M2 are the masses of the two bodies, and R is their separation. In this case, the force between the two masses is 36 N. If the distance between them is tripled, the new force can be found by calculating F' = G * (M1 * M2) / (3R)^2. Since R^2 is 9 times larger than (3R)^2, the new force will be 1/9 of the original force. Therefore, the gravitational force between the two masses will be 4 N.
A train with mass 1000kg is moving at 15 m/s south. A second train engine with a mass of 500 kg is sitting at rest on the tracks ahead. What is the magnitude of the total momentum of the entire system? Assume that after the trains crash the first train comes to a stop at the point of the crash. How fast does the second train slide? Assume that after the crash the trains stick together and slide as one. How fast to they slide? Assume that after the crash the second train is sliding at 20 m/s south. What is the velocity of the first train?
Trees in the mid-west change colors and lose their leaves in the cooler parts of the year.
What kinds of trees lose their leaves?
A)
deciduous
B)
evergreen
C)
nonvascular
D)
nonwoody
The current through inductance L is given by I=I0e−t/τ
A.) Find an expression for the potential difference ΔVL across the inductor.
B.) Evaluate ΔVL at t=0s , if L=15mH , I0=36mA , and τ=1.1ms
C.) Evaluate ΔVL at t=1ms , if L=15mH , I0=36mA , and τ=1.1ms
D.) Evaluate ΔVL at t=2ms , if L=15mH , I0=36mA , and τ=1.1ms
E.) Evaluate ΔVL at t=3ms , if L=15mH , I0=36mA , and τ=1.1ms
The potential difference (voltage) across the inductor is given by VL = L*(dI/dt), which for this specific question evaluates to VL = -L*I0*(e^-t/τ) / τ. Applying the given values at different time intervals, we can find VL values at t=0s, t=1ms, t=2ms, and t=3ms.
Explanation:The current through an inductor is given by I=I0e−t/τ. Let's answer your questions one by one:
A) The potential difference (voltage) across the inductor is given by VL = L*(dI/dt). For this particular problem, it would be VL = -L*I0*(e^-t/τ) / τ. This equation results from the fact that the rate of change of current through an inductor is related to the voltage across it.
B) At t=0s, VL would evaluate to -L*I0 / τ.
C) At t=1ms, VL would evaluate to -L*I0*(e^-1) / τ.
D) At t=2ms, VL would evaluate to -L*I0*(e^-2) / τ.
E) And finally, at t=3ms, VL would evaluate to -L*I0*(e^-3) / τ.
These calculations use the given constants L=15mH, I0=36mA, and τ=1.1ms.
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The potential difference across the inductor is given by the equation VL = -L*I0*e^(-t/τ)*(1/τ). Plugging in L=15mH, I0=36mA, and τ=1.1ms, evaluations for t=0, 1ms, 2ms, and 3ms yield -0.49V, -0.27V, -0.15V, and -0.08V respectively.
Explanation:The potential difference across the inductor, ΔVL, can be determined by using Faraday's law which states that the EMF in a circuit is equal to the rate of change of magnetic flux. In this case, it corresponds to:
VL = L*(dI/dt) = L * d/dt [I0*e^(-t/τ)] = -L*I0*e^(-t/τ)*(1/τ)
From this equation, the potential difference can be evaluated at different times.
At t=0s: ΔVL = -L*I0*1/τ = - (15x10^-3)*(36x10^-3)/1.1x10^-3 = - 0.49 V At t=1ms: ΔVL = -L*I0*e^(-t/τ)*(1/τ) = - (15x10^-3)*(36x10^-3)*e^(-1/1.1)(1/1.1x10^-3) = -0.27 V At t=2ms: ΔVL = - (15x10^-3)*(36x10^-3)*e^(-2/1.1)(1/1.1x10^-3) = -0.15 V At t=3ms: ΔVL = - (15x10^-3)*(36x10^-3)*e^(-3/1.1)(1/1.1x10^-3) = -0.08 V Learn more about Potential Difference across Inductor here:https://brainly.com/question/31595289
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How does lubricating a machine affect the output work from that machine? how would the input and output forces be affected?
By lubricating its components, a machine can operate more effectively and send less energy to the environment as heat by reducing friction between its parts.
Due to the machine's simplicity of use and less friction, the input and output forces might both increase.
What is lubrication?To reduce wear and tear and friction in a contact between two surfaces, lubrication is a procedure or technique that uses a lubricant. The area of tribology includes the study of lubrication as a discipline.
Solid body interactions are decreased through the design of lubrication mechanisms, such as fluid-lubricated systems, which carry the given load either entirely or partially by hydrodynamic or hydrostatic pressure (and consequently friction and wear). Different lubrication regimes can be recognized depending on how far the surfaces have separated.
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Which scientist proposed the idea of a sun-centered solar system instead of an earth-centered solar system?
Final answer:
Nicolaus Copernicus is credited with challenging the geocentric model and proposing a sun-centered solar system, which was later supported by other astronomers like Tycho Brahe, Johannes Kepler, and Galileo Galilei.
Explanation:
The scientist who is credited with proposing the idea of a sun-centered solar system is Nicolaus Copernicus. Before the 16th century, the prevailing model of the cosmos was geocentric, developed by Aristotle and Ptolemy, with the Earth at the center. However, Copernicus challenged this view in his treatise "On the Revolutions of the Celestial Spheres", initiating a paradigm shift towards a heliocentric model. This change was further supported by the observations and analyses of Tycho Brahe, Johannes Kepler, and Galileo Galilei, as well as the theoretical framework provided by Isaac Newton's laws of motion and universal gravitation.