Therefore the value of t is sin⁻¹√(m/100k(m+100k))
The motion of a particle connected to a spring can be described by the following equation;
x = 10 sin(πt)
Given that the spring is elastic, we can use this equation to determine the potential energy and kinetic energy.
Potential Energy; Potential energy is the energy an object has because of its position or state. It is stored energy that can be converted into kinetic energy. In this case, the potential energy can be determined as follows;
Let m be the mass of the particle and k be the spring constant.
The potential energy of a spring is given by;
P.E = (1/2)kx²
Substituting the given values we have;
P.E = (1/2)k[10 sin(πt)]²
P.E = (1/2)k100sin²(πt)
At the point where potential energy is equal to kinetic energy, then;
P.E = K.E
Therefore; P.E = K.E(1/2)k100sin²(πt)
= (1/2)mv²
Kinetic Energy; Kinetic energy is the energy an object possesses due to its motion. It is defined as one-half the mass of an object times its velocity squared.
K.E = (1/2)mv²
Substituting the given values we have;
(1/2)k100sin²(πt) = (1/2)m(πx)²1/2 is a constant that appears on both sides of the equation.
It can be cancelled out, thus leaving us with;
k100sin²(πt) = m(πx)²k(10sin(πt))²
= m(πx)²100k(sin²(πt))
= mπ²cos²(πt)100k(sin²(πt))
= m(1 - sin²(πt))100ksin²(πt)
= m - msin²(πt)msin²(πt) + 100ksin²(πt)
= mmsin²(πt)(1 + 100k/m)
= m
Solving for t;
t = sin⁻¹√(m/100k(m+100k))
The answer is the value of t obtained from the above equation.
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Which of Galileo's theories drew fire from the Catholic Church and led to his
house arrest?
Answer:
imma have to come back to you on that one
Answer:
The Sun is at the center of the solar system and the planets move around it.
Explanation:pluto/edmentum
Bill runs 400 meters to Andy's house, turns around, and runs 400 meters back home. What is Bill's displacement? A. 1600 meters B. 400 meters C. 0 meters D. 800 meters
Answer:
C - 0 meters
Explanation:
Displacement is the difference in where you started and where you end up. If Bill starts at his house and ends at his house, there was no change in position, meaning Bill had no displacement. In math this would be
400 + (-400) = 400 - 400 = 0
assuming he runs in the positive direction and then in the negative direction. Either way you put it, it still ends up as 0
6. What is the uncertainty in position of a proton with mass 1.673 x 10-27 kg and kinetic energy 1.2 keV?
According to Heisenberg's Uncertainty Principle, it is impossible to determine the position and momentum of a particle with absolute certainty at the same time. The Uncertainty Principle is defined as Δx * Δp ≥ h/4π, where Δx is the uncertainty in position, Δp is the uncertainty in momentum, and h is Planck's constant.
For the given problem, the uncertainty in position of a proton with mass 1.673 x 10-27 kg and kinetic energy 1.2 keV can be calculated as follows:
We know that the momentum p of a particle is given by p = mv, where m is the mass of the particle and v is its velocity.
The kinetic energy of the proton can be converted to momentum using the equation E = p²/2m, where E is the kinetic energy.
1.2 keV = (p²/2m) (1 eV = 1.6 x 10^-19 J)
p²/2m = 1.92 x 10^-16 J
The momentum p of the proton can be calculated by taking the square root of both sides:
p = √(2mE) = √(2 x 1.673 x 10^-27 x 1.6 x 10^-16) = 7.84 x 10^-22 kg m/s
Using Heisenberg's Uncertainty Principle, we can calculate the uncertainty in position as follows:
Δx * Δp ≥ h/4π
Δx ≥ h/4πΔp
Substituting the values of h, Δp, and solving for Δx:
Δx ≥ (6.626 x 10^-34)/(4π x 7.84 x 10^-22)
Δx ≥ 2.69 x 10^-12 m
Therefore, the uncertainty in position of the proton is 2.69 x 10^-12 m.
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Suppose we imagine the sun to be about the size of a grapefruit. How big an area would the orbits of the eight planets of the solar system cover?.
Answer:
the size of a typical campus
Explanation:
The eight planets of the solar system cover the size of a typical campus option (B) is correct.
What is solar energy?It is defined as the energy that continuously comes from the sun. As we know, the sun is the greatest source of energy. The sun's radiation reaches the earth and can be utilized as heat energy.
It is given that:
Suppose we imagine the sun to be about the size of a grapefruit.
As we know,
Sun is the greatest source of the energy.
Our solar system is around 160 million times smaller than the Milky Way galaxy, notwithstanding how big this figure may seem.
Thus, the eight planets of the solar system cover the size of a typical campus option (B) is correct.
The question is incomplete.
The complete question is:
Suppose we imagine the Sun to be about the size of a grapefruit. How big an area would the orbits of the eight planets of the solar system cover?
A) the size of a typical dorm room
B) the size of a typical campus building
C) the size of a typical campus
D) the size of a small city
E) the size of a western state (e.g., Colorado)
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what is a Rube Goldberg machine and show me a pic? PLEASE.
Answer:
This picture is just one example of a Rube Goldberg machine. It's sort of like a chain reaction. There are a lot of cool videos you could look up on you tube that demonstrate what they are.
Explanation:
a honeybee leaves the hive and travels a total distance of 2 km before returning to the hive. what is the magnitude of the displacement vector of the bee? why?
The magnitude of the displacement vector of the bee will be 2 km. Because the distance between the endpoints is 2km.
What is displacement?A displacement is a vector in engineering and mechanics that has a length equal to the smallest distance between a point P's initial and final positions. It is a vector quantity. The SI unit of the displacement is the meter.
A honeybee leaves the hive and travels a total distance of 2 km before returning to the hive.
The bee's displacement vector will be 2 kilometers in length. Mostly due to the 2 kilometers between the terminals.
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A wave has a wavelength of 45 meters and a period of 9.0 seconds. What is the frequency of the wave?
405 Hz
5.0 Hz
5.0 m/s
0.11 Hz
Answer:405
Explanation:Multiply 45x9.0=405
Answer:
405 Hz
Explanation:
Give the person on top Brainly
sandy ran 8 blocks north, and then 2 blocks south back towards her starting point. what’s the distance and displacement??
Answer:
sandy is 6 blocks north of her starting point
Explanation:
The gravitational interaction is caused by
Answer:
a weak interaction between particles the result from mass
You are moving to your own planet. If the mass of the planet is 1.300 x 1022 kg, and its radius is 738.400 mi, what is the acceleration due to the gravity on your new planet? (Use 1 mi = 1.609 km and G = 6.674x10-11 N·m2| kg?). Show your work. A numerical value is required for credit.
The acceleration due to gravity on the new planet is 1.59 m/s², the acceleration due to gravity on a planet is calculated using the following formula g = G * M / R²
where:
g is the acceleration due to gravityG is the gravitational constant (6.674x10^-11 N·m²/kg²)M is the mass of the planetR is the radius of the planetIn this case, we have:
M = 1.300 x 10^22 kg
R = 738.400 mi = 1,190,885 km
We need to convert the radius from miles to kilometers, so we use the following conversion factor:
1 mi = 1.609 km
This gives us a radius of:
R = 738.400 mi * 1.609 km/mi = 1,190,885 km
Now we can plug all of the values into the formula to calculate the acceleration due to gravity:
g = 6.674x10^-11 N·m²/kg² * 1.300 x 10^22 kg / (1,190,885 km)²
g = 1.59 m/s²
Therefore, the acceleration due to gravity on the new planet is 1.59 m/s².
This means that if you drop an object on the surface of the planet, it will accelerate towards the center of the planet at a rate of 1.59 meters per second squared.
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What are the purposes of these items aboard the Voyager probes? • Low-energy particle detector: • Magnetometer boom: • High-gain antenna: • Photopolarimeter: • Cosmic ray:
Explanation:
1. Low-energy particle detector: This particle detector measures the charged particles of the solar winds.
2. Magnetometer boom: This device measures magnetic fields produced by astronomical bodies.
3. High-gain antenna: A HGA has a narrow radio beam that is used to enhance the strength of signal. They simply amplify the weak signals.
4. Photopolarimeter: This is an instrument that is used to measure the strength and intensity and polarization of reflected light.
Answer:
what they said
Explanation:
constriction is made in a clinical thermometer why
subject :science (energy)
Answer:
The constriction in the thermometer is to prevent the mercury from dropping back to the bulb when the reading is being taken. It is easier for us to take reading. It prevents the thermometric substance (Mercury or Alcohol) from running back into the bulb.
Explanation:
Hope it is helpful....
Answer:
constriction is made in a clinical thermometer because it prevents the thermometric liquid from running back into the bulb.
Explain how air exerts a pressure
air exert a pressure take a glass and put the water on it and small piece a paper and glass take downword and observe it so tha air exert pressure
point The amount of energy in a wave is proportional to its frequency amplitude period wavelength A 10.0 kg pendulum bob is placed on a 5.00 m long string and pulled back 6.00
∘
. What is the period of the pendulum when it is released? 12.3 s 8.80 s 3.21 s 4.49 s What is the name for point B? amplitude trough crest equilibrium position The Law of Reflection states that the angle of reflection is greater than the angle of incidence less than the angle of incidence is not related to the angle of incidence equal to the angle of incidence In the first harmonic the distance from one node to the other is equal to two wavelengths half a wavelength one wavelength the length between nodes is not related to the wavelength When two waves cross and produce an interference pattern the amplitude will decrease the amplitude can increase or decrease interference does not change the amplitude the amplitude will increase
A 10.0 kg pendulum bob is placed on a 5.00 m long string and pulled back 6.00. The period of the pendulum when it is released is approximately 1.43 seconds.
The period of a pendulum is determined by the length of the string and the acceleration due to gravity. The formula for the period of a simple pendulum is:
T = 2π√(L/g)
where T is the period, L is the length of the string, and g is the acceleration due to gravity.
Given:
Length of the string (L) = 5.00 m
Angle of displacement (θ) = 6.00°
To find the effective length of the pendulum, we can use the formula:
L_eff = L * sin(θ)
Substituting the given values:
L_eff = 5.00 m * sin(6.00°)
L_eff ≈ 0.52 m
Now we can calculate the period using the effective length:
T = 2π√(L_eff/g)
Substituting the known values:
T = 2π√(0.52 m/9.8 m/s²)
T ≈ 2π√(0.052 m)
T ≈ 2π * 0.228 m
T ≈ 1.43 s
Therefore, the period of the pendulum when it is released is approximately 1.43 seconds.
b) The period of the pendulum when it is released is 4.49s.
The name for point B is the equilibrium position.
The Law of Reflection states that the angle of reflection is equal to the angle of incidence.
In the first harmonic, the distance from one node to the other is equal to one wavelength.
When two waves cross and produce an interference pattern, the amplitude can increase or decrease depending on the type of interference (constructive or destructive).
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Redi pasteurized the meat he used in his controlled experiment. True or False
A.
FALSE
B.
TRUE
which detection method or methods measure the gravitational tug of a planet on its star, allowing us to estimate planetary mass? (a) the transit method only (b) the doppler method only (c) the astrometric and doppler methods
Detection methods to measure the gravitational tug of a planet on its star that is allowing us to estimate planetary mass is : (c) the astrometric and doppler methods.
Method for finding extrasolar planets and brown dwarfs from radial-velocity measurements through observation of doppler shifts in the spectrum of the planet's parent star is called doppler spectroscopy.
It is also known as the radial-velocity method or the wobble method.
Method that detects the motion of a star by making precise measurements of its position on the sky is called astrometry. This technique can be used to identify the planets around a star by measuring small changes in the position of the stars.
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Vertical motion: the height above ground of an object moving vertically is given by S = 16t^2 + 96t + 112 with sin feet and t in second find a. the object's velocity when t = 0; b. its maximum height and when it occurs; c. its velocity when s = 0
To find the object's velocity when t = 0, we need to calculate the derivative of the height function S(t) with respect to time t. herefore, when t = 0, the object's velocity is 96 feet per second.
To find the maximum height, we need to determine the vertex of the quadratic equation. The vertex can be found using the formula t = -b / (2a), where a and b are the coefficients of the quadratic equation the confusion. Let's find the vertex of the height function S(t) = 16t^2 + 96t + 112 to determine the maximum height and when it occurs.To find the maximum height, we need to determine the vertex of the quadratic function. The vertex represents the peak of the parabolic shape and corresponds to the maximum height.the velocity when the height S(t) is equal to 0, we need to solve the equation S(t) = 16t^2 + 96t + 112 = 0. This will give us the time(s) when the object's height is zero, which corresponds to the moments when the object reaches the ground.
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a 35.7 kg girl and a 57.6 kg boy are on the surface of a frozen lake, 11.5 m apart. using a rope, the girl exerts a horizontal 4.35 n force on the boy, pulling him toward her. calculate the magnitude of the girl's acceleration.
The magnitude of the girl's acceleration is determined as 0.12 m/s².
What is the magnitude of the girl's acceleration?The magnitude of the girl's acceleration is calculated by applying Newton's second law of motion as follows;
F (net) = ma
where;
m is the mass of the girla is the acceleration of the girlThe mass of the girl = 35.7 kg
The net force on the girl = 4.35 N
The magnitude of the girl's acceleration is calculated as;
a = F / m
a = 4.35 N / 35.7 kg
a = 0.12 m/s²
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Extrinsic statements originate in a. Parents c. Teachers b. Society d. All of these Please select the best answer from the choices provided A B C D
Answer:
D all of these
Explanation:
Extrinsic statements originate in parents ,society and teachers. Option D is correct.
What is extrinsic motivation ?Extrinsic motivation is defined as conduct motivated by external incentives. Extrinsically driven people will continue to do something even if it isn't pleasurable or rewarding in and of itself.
These incentives might be monetary or intangible in nature, such as acclaim or renown. Extrinsic motivation is distinct from intrinsic motivation in that it is only motivated by external incentives.
Extrinsic statements originate in;
a. Parents
b. Society
c. Teachers.
Extrinsic statements originate in all of the above given option.
Hence, option D is correct.
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Light travels slower in oil than in air. If a light wave moves through the oil at a speed of 2 x 108 m/s and the wavelength of this light wave is 2 x 10-3 m, what is the frequency of this wave?
1 x 105 Hz
4 x 10-24 Hz
4 x 105 Hz
1 x 1011 Hz
The frequency of this wave will be 1 × 10¹¹ Hz. Option d is correct. Frequency is the inverse of the time period.
What is the frequency?Frequency is defined as the number of repetitions of a wave occurring waves in 1 second.
The given data in the problem is;
v is the speed of light = 2 x 10⁸ m/s
\(\lambda\) is the wavelength = 2 x 10⁻³ m,
f is the frequency of the wave is to be found;
Frequency is given by the formula as,
\(\rm v = \lambda \times f \\\\\ \rm f = \frac{v}{\lambda} \\\\ \rm f = \frac{2 \times 10^8}{2 \times 10^-3} \\\\ \rm f = 1 \times 10^{11} \ Hz\)
Hence the frequency of this wave will be 1 × 10¹¹ Hz. Option d is correct.
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What theory of mercury's origin can best explain the fact that its core is made of such dense materials?
Answer:
Giant impacts in its early history may have torn away much of its original crust and mantle.
So Mercury has a giant iron core, but why?
There are three general ideas.
1. Mercury was once the core of a gas giant that vaporized when the Sun became a fully-fledged star. This gas giant was probably more like Uranus or Neptune than Jupiter or Saturn.
There are significant issues here, especially that Mercury's existing surface has been exposed to space since the solar system's initial beginnings. On Mercury, remnants of the first massive bombardment have been found.
2. Mercury formerly had a deeper mantle and was a bigger terrestrial planet. During the early history of the solar system, a dwarf planet made a massive impact that robbed the planet of its mantle.
The existing surface of Mercury has been exposed to space since the very beginning of the solar system, which raises major issues once more.
Due to the factors in explanation 1, characteristics from the first significant bombardment have been found on Mercury. The quantity of low temperature volatiles that are trapped and sometimes sublimate out of the crust, causing hollows, is also a major issue. By such an impact, these low temperature volatiles—such as sodium, sulphur, magnesium, etc.—would have been completely pushed out.
3. A mostly iron-rich body developed, and "rock steam"—a gaseous mixture of atomic oxygen and silica—condensed and accreted onto it from the protoplanetary disk near the Sun. Small rock particles with lower temperature volatiles were subsequently formed into a crust. Additionally, it appears that iron was concentrated in the inner region of the protoplanetary disk by the Sun's early, extremely powerful magnetosphere.
Whilst there are a few minor issues with this, this appears by far the most likely scenario.
Its crust and mantle may have been significantly altered during its early history by massive collisions.
What is Core?The extremely hot and dense core of Earth is called the core. Under the mainly solid mantle and the chilly, brittle crust is the ball-shaped core. The radius of the core is about 3,485 kilometers, and it can be located around 2,900 kilometers (1,802 miles) beneath the surface of the Earth (2,165 miles). Earth is more ancient than the core.
Approximately 4.5 billion years ago, Earth was a uniform ball of hot rock. The ball warmed up considerably more due to radioactive decay and residual heat during planetary formation. After roughly 500 million years, the temperature of our new planet reached 1,538 degrees Celsius (2,800 degrees Fahrenheit), which is the temperature at which iron melts. The iron catastrophe refers to this critical moment in Earth's history.
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a soccer ball is kicked at an angle of 370 with a velocity of 20 m/s. find the maximum height the ball can reach without air resistance.
The maximum height the ball can reach without air resistance, given it is kicked at an angle of 37 ° with a velocity of 20 m/s is 7.4 m
How do I determine the maximum height?We'll begin by listing the given parameters from the question. This is shown below:
Angle of projection (θ) = 37 °Initial velocity (u) = 20 m/sAcceleration due to gravity (g) = 9.8 m/s²Maximum height (H) =?The maximum height reached by the ball can be obtained as follow:
H = u²Sine²θ / 2g
H = [(20)² × (Sine 37)²] / (2 × 9.8)
H = (400 × 0.3622) / 19.6
H = 7.4 m
Thus, the maximum height reached is 7.4 m
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Analyze: How does the acceleration change when the velocity is multiplied by x? When the velocity is multiplied by x, then the acceleration is multiplied by x^2.
Divide each acceleration by the starting acceleration (1 m/s) to determine the velocity factor. Each acceleration value should be divided by the initial acceleration (0 m/s 2) to determine the acceleration factor.
Specify a rule: Make an equation for centripetal acceleration (ac) based on the velocity and radius using the information from your experiments. Use the Gizmo to test your equation.
ac = v^2/r
Apply: Without using the Gizmo, apply your equation to determine the acceleration of a puck moving uniformly in a circle at a speed of 9 m/s and a radius of 3 m: 27 m/s.
Use the Gizmo to verify your response.
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Which of the following is evidence that a physical change has
occurred? *
a. Broken glass
b. Rust
c. Bubbles
d. Formation of a solid precipitate
Answer:
Broken glass
Explanation:
The same motor is used in rockets with different masses. The rockets have different accelerations. According to Newton’s second law, how is acceleration expected to change as the rocket mass increases? As rocket mass increases, acceleration decreases. There are no changes in acceleration, as it would depend on the amount of force. As rocket mass increases, acceleration increases. Acceleration cannot be predicted based on changes in mass.
Answer:
As rocket mass increases, acceleration decreases.
Explanation:
From Newton's second law of motion;
F= ma
Where;
m= mass of the object
a= acceleration of the object
Hence we can write;
a= F/m
This implies that an increase in mass (m) will lead to a decrease in acceleration if the force on the object is held constant.
Hence, if the rockets have different masses, they will have different accelerations.
Hello!
---------
As rocket mass increases, acceleration decreases.
Hope this helps! The rest are available on Quizlet at "Unit 6: Lesson 4 Force, Mass and Acceleration". Thanks and good luck!
which is a harmful role of bacteria of bacteria?
Answer:
Harmful bacteria are called pathogenic
Explanation:
Harmful bacteria are called pathogenic bacteria because they cause disease and illnesses like strep throat, staph infections, cholera, tuberculosis, and food poisoning.
Pls help with the right answer and explanation to this question
Answer: Substance 3 is liquid at room temperature
Explanation: The common room temperature is assumed to be 20-22°C, we need to find the substance that will be in liquid state in that temperature.
For Substance 1, the boiling point is -195.975°C, and hence at room temperature, it would be in vapor phase and all liquid would have turned to gas.
For Substance 2, the boiling point is 3.85°C, and hence at room temperature, it would be in vapor phase and all liquid would have turned to gas in this case too.
For Substance 3, the boiling point is 77.85°C, and melting point is -108.15°C, hence at room temperature, it would be in liquid state.
For Substance 4, the melting point itself is 1800°C, due to which at room temperature it would be in solid state.
Check out websites that focus on explaining more about how real forensic DNA labs work.
Real forensic DNA labs work by analyzing DNA samples that may match to an individual in a police case, which involves extraction of DNA, amplification by PCR, and then observation under UV light after electrophoresis.
What is a real forensic DNA lab?A forensic DNA lab is a laboratory that works by obtaining and analyzing DNA samples in order to match them with suspicious individuals in criminal cases.
Therefore, with this data, we can see that forensic DNA labs use different techniques such as extraction of DNA, PCR, and electrophoresis in order to match DNA samples with individuals.
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What is the energy of a mole of photons of light that have a frequency of 8.23 x10^15 hz?
The energy of a mole of photons of light that have a frequency of 8.23 x10¹⁵ Hz is 5.45 × 10-¹⁸J.
How to calculate energy?The energy of a photon can be calculated using the following formula;
E = hf
Where;
E = energyh = Planck's constantf = frequencyAccording to this question, the frequency of the photon of light is 8.23 × 10¹⁵Hz. The energy can be calculated as follows:
E = 6.623 × 10-³⁴ J/s × 8.23 × 10¹⁵Hz
E = 5.45 × 10-¹⁸J
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Which of the following products will have elastic demand (alcohol, gasoline, travel souvenirs, cigarettes)
The product among alcohol, gasoline, travel souvenirs, cigarettes that will have elastic demand is cigarettes.
What is elastic demand?Elastic demand refers to a situation in which a change in the price of a good or service results in a more significant change in the amount demanded. When the percentage change in quantity demanded is greater than the percentage change in price, the demand for the product is said to be elastic.
When the quantity demanded of a product decreases significantly when the price rises, the demand for the product is said to be elastic. Similarly, when a slight change in price causes a significant change in quantity demanded, the demand is said to be elastic. Conversely, if a product's price increases by a small percentage, and the demand for the product decreases by a smaller percentage, the demand for the product is said to be inelastic.
Cigarettes, of all the products listed above, are likely to have an elastic demand.
This is because smokers who are addicted to cigarettes are more likely to quit smoking or reduce their consumption in response to an increase in the price of cigarettes compared to the other goods.
Thus, a slight increase in the price of cigarettes is likely to cause a significant decrease in the number of cigarettes consumed.
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