Answer:
to move faster
Explanation:
momentum, product of the mass of a particle and its velocityit has both magnitude and direction. Isaac Newton's second law of motion states that the time rate of change of momentum is equal to the force acting on the particle. See Newton's laws of motion.
Answer:
gaining speed
Explanation:
A mass of.6kg oscillates at the end of a 2m long string. when the mass passes the point of equilibrium its speed is .9m/s. The spring constant is 100N/m. What is the amplitude the spring oscillates?
The amplitude of oscillation is half of the total distance the mass moves in each direction, which is equal to twice the height above the equilibrium point.
What is Equilibrium?
In physics, equilibrium refers to a state of balance or stability achieved by an object or system when the net force and torque acting on it are zero. This means that the object or system remains at rest or moves with a constant velocity. An object or system can have different types of equilibrium, such as stable equilibrium, unstable equilibrium, and neutral equilibrium, depending on how it responds to disturbances from its original position or state.
The problem statement mentions a spring constant, but it is not used in the calculation of the amplitude of oscillation. Therefore, I will assume that the oscillation is driven by the pendulum and not the spring.
The period of oscillation of a simple pendulum is given by:
T = 2π√(L/g)
where T is the period of oscillation, L is the length of the pendulum, and g is the acceleration due to gravity.
We can rearrange this equation to solve for g:
g = 4π^2(L/T)^2
At the point of equilibrium, the mass has potential energy equal to mgh, where m is the mass, g is the acceleration due to gravity, and h is the height above the equilibrium point.
When the mass passes through the equilibrium point, all of this potential energy is converted to kinetic energy:
1/2 mv^2 = mgh
We can solve this equation for h:
h = v^2/(2g)
Substituting the values given in the problem statement:
g = 4π^2(2/((2π)/√(0.6/9.81)))^2 = 9.81 m/s^2
h = (0.9 m/s)^2/(2×9.81 m/s^2) = 0.041 m
Therefore, the amplitude of oscillation is half of the total distance the mass moves in each direction, which is equal to twice the height above the equilibrium point:
A = 2h = 2×0.041 m = 0.082 m.
So, the amplitude of oscillation is 0.082 m.
Learn more about Equilibrium from given link
https://brainly.com/question/517289
#SPJ1
If a light ray travels from air into glass that has a refractive index of 1.6, and the incident light ray makes an angle with the normal that's 31 degrees, what angle will the transmitted ray make with the normal? Enter your answer using two significant figures. Enter the number only, not the units, which should be degrees. 19 Question 2 Incident Ray Normal Medium 1 Medium 2 Refracted Ray 1 pts What angle will the reflected light ray make relative to the normal, in the previous problem? Enter your answer using two significant figures. Enter the number only, not the units, which should be degrees.
Using Snell's law, we can find the angle the transmitted ray will make with the normal:
\(n1sin(theta1) = n2sin(theta2)\)
Where \(n1\) is the refractive index of the incident medium (air), \(theta1\) is the angle the incident ray makes with the normal, \(n2\) is the refractive index of the second medium (glass), and \(theta2\) is the angle the transmitted ray makes with the normal.
Plugging in the given values, we get:\((1.00)(sin(31)) = (1.6)(sin(theta2))\)
Solving for \(theta2\), we get:\(theta2 = sin^(-1)((1.00)*(sin(31))/(1.6)) = 19 degrees (rounded to two significant figures)\)
To find the angle the reflected ray makes with the normal, we can use the fact that the angle of incidence is equal to the angle of reflection:\(theta1 = theta_r\)
where \(theta_r\) is the angle the reflected ray makes with the normal.
Plugging in the given value of \(theta1\), we get:\(theta_r\) = 31 degreesRobert hook used an early microscope to observed a cork sample. How did this help contribute to cell theory?
Answer:
Robert Hooke used an early microscope to observe a cork sample. How did this help contribute to cell theory? It helped to show that cells contain water. ... It helped to show that some cells are visible to the naked eye.
Explanation:
If your teacher checks if it was copied just put it in your on words
A human services professional has worked with a particular client for a couple of years. The client
seemed to be making good progress but has suddenly become resistant to suggestions to address
another area of his life. The code of ethics suggests that the human services professional should take
what action?
force the client to change
drop the client
respect the client's decision
report the client for being stubbom
Answer:
Respect the client’s decision
Explanation:
just took the test
Answer: Respect the client's decision
Explanation: Either way the professional would know not to do anything rash and it is the client's decision whether or not they want to move forward, it would have obviously been a touchy subject if they were that reluctant.
how long in seconds does it take a radio signal to travel 160 km from a transmitter to a receiving antenna
It will take 53.3 x 10^-5 sec for a radio signal to travel 160 km from a transmitter to a receiving antenna
We take d to be 160 km = 160 x 10^3 m
Then
time = distance/speed
t = d/c
t = 160 x 10^3 m / 3 x 10^8 m/s
t = 53.3 x 10^-5 sec
Hence, it will take 53.3 x 10^-5 sec for a radio signal to travel 160 km from a transmitter to a receiving antenna
Learn more about Time here:
https://brainly.com/question/26046491
#SPJ4
What type of radiation must be given off in the following decay reaction? 31H→32He+? 232 90Th→228 88Ra+? The nuclear reaction shown below is an example of what type of process? 22490Th → 22088Rn + 42He The product from the alpha decay of 23692U ?
31H→32He+ - This is a beta decay reaction ; 23290Th→22888Ra+?.- This is an alpha decay reaction ; The nuclear reaction shown below, 22490Th → 22088Rn + 42He, is also an alpha decay reaction ; alpha decay of uranium-236 (atomic number 92, mass number 236) results in the emission of alpha particle and formation of a new nucleus.
Decay reaction 31H→32He+ - This is a beta decay reaction, which means that a neutron in the nucleus of the hydrogen atom (with atomic number 1) is converted into a proton, an electron, and a neutrino. The proton stays in the nucleus, while the electron and neutrino are ejected. The resulting nucleus has atomic number 2 (helium) and mass number 32, which means it has two protons and 30 neutrons.
23290Th→22888Ra+?. This is an alpha decay reaction, which means that the nucleus of thorium (atomic number 90) emits an alpha particle, which is a helium nucleus with two protons and two neutrons. The resulting nucleus has atomic number 88 (radium) and mass number 228, which means it has 88 protons and 140 neutrons.
The nuclear reaction shown below, 22490Th → 22088Rn + 42He, is also an alpha decay reaction. The nucleus of thorium (atomic number 90) emits an alpha particle, which is a helium nucleus with two protons and two neutrons. The resulting nucleus has atomic number 88 (radon) and mass number 220, which means it has 88 protons and 132 neutrons.
The alpha decay of uranium-236 (atomic number 92, mass number 236) results in the emission of an alpha particle (helium nucleus) and the formation of a new nucleus. The new nucleus has atomic number 90 (thorium) and mass number 232, which means it has 90 protons and 142 neutrons.
To know more about decay reaction, refer
https://brainly.com/question/16677661
#SPJ11
A 1000-kg object hangs from the lower end of a steel rod 5.0 m long that is suspended vertically. The diameter of the rod is 0.80 cm and Young's modulus for the rod is 210,000 x 106 N/m2. What is the elongation of the rod due to this object
The elongation of the rod due to the 1000-kg object hanging from it is approximately 0.0093 meters, or 9.3 millimeters
To calculate the elongation of the steel rod, we'll use the formula:
Elongation = (Force * Length) / (Area * Young's modulus)
First, let's find the force acting on the rod, which is the weight of the object:
Force (F) = mass (m) * acceleration due to gravity (g)
F = 1000 kg * 9.81 m/s²
F = 9810 N
Next, we'll find the area (A) of the rod's cross-section:
Area (A) = π * (diameter/2)²
A = π * (0.008 m / 2)²
A ≈ 5.0265 x 10^-5 m²
Now, we can plug these values into the elongation formula:
Elongation = (9810 N * 5.0 m) / (5.0265 x 10^-5 m² * 210,000 x 10^6 N/m²)
Elongation ≈ 0.0093 m
So the elongation of the rod due to the 1000-kg object hanging from it is approximately 0.0093 meters, or 9.3 millimeters.
To know more about rod visit
https://brainly.com/question/14456700
#SPJ11
What is the medium through which sound travels inside a bird’s body? (HINT: three-letter word)
The medium through which sound travels inside a bird’s body is the air. This is further explained below.
What is Air?Generally, Air is simply defined as the invisible combination of gases, and this gas exists around the Earth.
In conclusion, Sound wave allows birds to communicate.
Read more about sound
https://brainly.com/question/14595927
#SPJ1
Sara was walking from her car to the beach. To do this she travelled 314.9 m [N] and another 604.9 m [26.7° W of N]. The total displacement in the north direction that Sara travelled is ______m [N]. Record your answer to 1 decimal place.
given the force field f, find the work required to move an object on the given orientated curve. on the parabola from to
the effort necessary to move a object along the designated oriented curve. regarding the parabola from it to 16
What do energy and work mean?Work is the process of transmitting energy into a target item to cause some displacement. The definition of energy is the capacity for work. The work produced is consistent. There are many different types of energy, including kinetic energy and potential energy.
What are the different kinds of work?There are three different types of job that can be categorized. They are productive work, productive work, and productive work. The relationship among force and displacement has an impact on the type of job. Positive work is the kind of work that occurs when an applied force moves an object in that direction.
To know more about work visit:
https://brainly.com/question/18094932
#SPJ4
What are the 4 trends of the periodic table?
Patterns in elements on the periodic table are known as periodic trends. Electro-nativity, ionization energy, electron affinity, atomic radius, and metallic character are important trends.
The periodic table is a graphical representation of the elements organized according to their atomic structure. There are several trends that are evident in the periodic table, including:
Electron Affinity: The electron affinity trend refers to the tendency of elements to gain electrons as one moves from left to right across a row (period) of the periodic table. Elements on the right-hand side of the periodic table tend to have a higher electron affinity, meaning they are more likely to gain electrons in chemical reactions.
Ionization Energy: The ionization energy trend refers to the amount of energy required to remove an electron from an atom. Elements on the right-hand side of the periodic table tend to have a higher ionization energy, meaning it takes more energy to remove an electron from these atoms.
Electronegativity: Electronegativity is the ability of an atom to attract electrons in a chemical bond. Elements on the right-hand side of the periodic table tend to have a higher electronegativity, meaning they are more likely to attract electrons in a chemical bond.
Atomic Radius: The atomic radius trend refers to the size of an atom. Elements on the left-hand side of the periodic table tend to have a larger atomic radius, meaning their atoms are larger in size. As one moves across a row (period) of the periodic table, the atomic radius decreases.
In conclusion, the four main trends of the periodic table are electron affinity, ionization energy, electronegativity, and atomic radius. These trends are important because they help us to understand the behavior and properties of elements in chemical reactions and help us predict how elements will interact with one another.
Learn more about periodic table here:
https://brainly.com/question/11155928
#SPJ4
Which of the following expressions is correct for the transmitted intensity of an unpolarized beam of light with an intensity I_i passing through a polarizer? A) I_t = I_i B) I_t = 2 I_i C) i_t = 4 I_i E) I_t = (1/4) I_i A cordless phone operates at 900 MHz. What is the associated wavelength of this cell phone signal? A) 30 m B) 3.0 m C) 0.33 m D) 3.0 mm E) 0.33 mm The distance between the two planets is 1.6 times 10^6 m. How much time would the light signal lake to go from one planet to the other? A) 0.53 times 10^-2 s B)1.9 times 10^2 s C) 1.9 times 10^-2 s D) 1.3 times 10^2 s E) 0.45 times 10^-2 s
A) I_t = I_i, C) 0.33 m, A) 0.53 times 10^-2 s
Which expression is correct for the transmitted intensity of an unpolarized beam of light passing through a polarizer? What is the wavelength associated with a cordless phone operating at 900 MHz? How much time does a light signal take to go from one planet to another that are 1.6 times 10^6 m apart?For the first question:
The correct expression for the transmitted intensity of an unpolarized beam of light passing through a polarizer is:
A) I_t = I_i
When an unpolarized light beam passes through a polarizer, the transmitted intensity is equal to the incident intensity. This means that the intensity of the light remains unchanged after passing through the polarizer.
For the second question:
The associated wavelength of a cell phone signal operating at 900 MHz can be calculated using the formula: wavelength = speed of light / frequency.
The speed of light is approximately 3.0 x 10^8 m/s.
Calculating the wavelength:
wavelength = (3.0 x 10^8 m/s) / (900 x 10^6 Hz)
wavelength = 3.33 x 10^-1 m
Therefore, the correct answer is:
C) 0.33 m
The wavelength of the cell phone signal is 0.33 meters.
For the third question:
To calculate the time it takes for a light signal to travel from one planet to another, we need to divide the distance between the two planets by the speed of light.
Calculating the time:
time = distance / speed of light
time = (1.6 x 10^6 m) / (3.0 x 10^8 m/s)
time = 5.33 x 10^-3 s
Therefore, the correct answer is:
A) 0.53 times 10^-2 s
The time for the light signal to travel from one planet to the other is 0.53 times 10^-2 seconds.
Learn more about correct expression
brainly.com/question/30810787
#SPJ11
How would newton law of motion relate to the movement of bumper car how might the ma of the rider and the peed of the car affect thi movement
According to the Newtons third law of motion, the collision between the bumper car and the rider will affect both of them as both the systems have mass and are moving with certain velocities.
Collision is a case where one moving object or person violently collides with another.
The law of interaction or the Newton's third law of motion, says that if one body exerts a force on a second body, the second body exerts a force equal in magnitude and opposite in direction on the first body.
It's the law of action-reaction, and it helps to explain why you feel a jolt when you collide with another bumper car.As we know momentum is P = m*v i.e. momentum (P) is directly proportional to the mass and velocity.
Heavier bodies have more mass, therefore have more momentum.
here, the bumper car is the heavy system and hence, it will exerts more impact on the rider.
To know more about collision,
https://brainly.com/question/7593984
#SPJ4
How do photons help explain the photoelectric effect?
A. Changing light frequencies create opposing electric fields that affect electrons.
B. "Packets" of electromagnetic energy eject electrons.
C. Particles with positive charge attract negative electrons.
D. Single particles of light take the place of electrons that have similar mass and energy.
Answer:
Option B
"Packets" of electromagnetic energy eject electrons.
Explanation:
A photon is a tiny packet of light. Light as we know is a form of electromagnetic energy. Whenever light is incident on a photoelectric surface, the energy of the light wave gets transferred to the electron, causing it to have enough energy to eject electrons from its surface. The electrons, once ejected, are now free to move about, thus, resulting in the flow of electrical current.
This makes option B the correct answer
The electron transport chain consists of a series of _____ that serve as electron carriers.
A group of proteins that act as electron carriers make up the electron transport chain.
How are electrons introduced into the electron transport system?All of the electrons that enter the transport chain come from NADH and FADH2 molecules created during the glycolysis, pyruvate oxidation, and citric acid cycle, which are early phases of cellular respiration.
Electrons are transferred from one molecule to another in the electron transport chain, and the energy released during these electron transfers is utilised to create an electrochemical gradient. The energy held in the gradient is utilized in chemiosmosis to produce ATP.
NAD +start superscript, plus, end superscript (nicotinamide adenine dinucleotide, as illustrated below) and FAD are two forms of electron carriers that are particularly significant in cellular respiration (flavin adenine dinucleotide).
To know more about electron transport visit:
https://brainly.com/question/24372542
#SPJ13
Write a short scene or describe a situation where at least two-phase changes take place. Be sure to include the names and descriptions of the phase changes as well as how/why they occur. In your descriptions, be sure to explain what the particles (atoms or molecules) are doing. Also be sure to explain what is happening with energy. Please write in complete sentences.
Thank you
A phase where the change occurs when a substance changes from one state of matter to another. A scenario in which at least two phase changes occur when ice is converted to vapor.
What is Change of State?For converting the ice into vapor, we need to supply energy in the form of heat to the ice which is the molecules in the ice start moving faster as they gain more energy and eventually the lattice breaks apart and Ice turns into liquid.
When more energy is supplied, the molecules gain even more energy and move at higher speeds, breaking all the intermolecular bonds between the molecules as the liquid turns to vapor.
Thus, a phase where the change occurs when a substance changes from one state of matter to another.
Learn more about Phase changes, here:
https://brainly.com/question/24784982
#SPJ1
rock layers can shift due to:
A. Volcano eruptions
B:Earthquakes
C. Tectonic Plate Movement
Answer:
c
Explanation:
Jeremy increases the angular speed of the yoyo such that the angle decreases to one half of its previous value. calculate the new angular velocity, in radians per second, of the yoyo.
To calculate the new angular velocity, we need to know the initial angular velocity (ω₁) and the initial angle (θ₁).
According to the question,
the new angle (θ₂) is half of the initial angle, so θ₂ = 0.5θ₁. The angular displacement formula is Δθ = θ₂ - θ₁.
To find the new angular velocity (ω₂), we can use the relationship between angular displacement and angular velocity: Δθ = ω₂Δt - ω₁Δt, where Δt is the time duration.
Since Δθ = 0.5θ₁ - θ₁ = -0.5θ₁, the formula becomes -0.5θ₁ = ω₂Δt - ω₁Δt. We can rearrange the equation to solve for ω₂: ω₂ = ω₁ - 0.5θ₁/Δt.
.
Hence, To find the new angular velocity of the yoyo, we need to know the initial angular velocity (ω₁), initial angle (θ₁), and the time duration (Δt). Then, we can use the formula ω₂ = ω₁ - 0.5θ₁/Δt.
learn more about velocity click here:
https://brainly.com/question/80295
#SPJ11
A hydaulic excavator with a 0.91 yard bucket capacity is being used to excavate hard clay. Average swing angle is 90 degrees. Average depth of excavation is 15 ft and the excavator's maximum digging depth is 25 ft. Job efficiency is estimated at 46 minutes/hour. If the hourly rate for the excavator is $53 per hour and the hourly rate for the operator is $28 per hour, what is the cost of the operation in $/LCY? Round to 2 decimal places.
The cost of the operation in dollars per loose cubic yard is approximately $81.93/LCY.
To calculate the cost of the operation in dollars per loose cubic yard ($/LCY), we need to consider the following factors:
1. Bucket Capacity: The hydraulic excavator has a 0.91-yard bucket capacity. This means that for every bucket load, the excavator can move and excavate 0.91 cubic yards of material.
2. Average Swing Angle: The average swing angle of 90 degrees indicates the efficiency of the excavator in reaching the desired excavation area without excessive swinging or repositioning.
3. Depth of Excavation: The average depth of excavation is given as 15 feet, and the maximum digging depth of the excavator is 25 feet. This suggests that the excavator can handle the required depth comfortably.
4. Job Efficiency: The job efficiency is estimated at 46 minutes per hour. This indicates that the excavator is expected to be operational for 46 minutes within each hour.
5. Hourly Rates: The hourly rate for the excavator is $53, while the hourly rate for the operator is $28.
To calculate the cost per loose cubic yard, we need to determine the time it takes to excavate one loose cubic yard (LCY) and then calculate the total cost based on the given rates.
The time required to excavate one LCY can be calculated as follows:
LCY time = (Bucket capacity / Depth of excavation) x Average swing angle x Job efficiency = (0.91 yards / 15 ft) x 90 degrees x (46 minutes / 60 minutes) = 0.00607 hours per LCY
The cost per LCY can be calculated as follows:
Cost per LCY = (Excavator rate + Operator rate) x LCY time = ($53 + $28) x 0.00607 hours/LCY = $81.93/LCY
Therefore, the cost of the operation in dollars per loose cubic yard is approximately $81.93/LCY.
Learn more about cubic yard from the link
https://brainly.com/question/916911
#SPJ11
why is it that terrestrial planets are thought to have dense iron cores
Terrestrial planets are thought to have dense iron cores primarily due to their formation process and the differentiation of their materials.
During the early stages of planet formation, when dust and gas in a protoplanetary disk come together to form planets, heavier elements such as iron tend to sink towards the center due to their higher density. This process, called planetary differentiation, results in the formation of a dense metallic core at the center of the planet. Iron is one of the most abundant heavy elements in the universe, and its high density makes it more likely to sink towards the core during planetary formation. As the planet grows and accumulates more material, the iron-rich core becomes more prominent.
To learn more about dense iron
https://brainly.com/question/1799394
#SPJ11
A bike starting from rest acquires a speed of 40m/s in 20 seconds. Then, the bike travels with this speed for 15 seconds. Find the : Acceleration Distance travelled during acceleration, ,total distance travelled
Explanation:
i hope you can understand my calligraphy :)
The acceleration of the bike is 2 m/s². The distance traveled during acceleration is 100 m. The total distance covered by bike is 700m.
What is the equation of motion?The equations of motion can be described as the relationship between the acceleration (a), velocity, time (t), and displacement of a moving object.
The equations of motions can be demonstrated as follows:
\(v = u + at\\S = ut +(1/2)at^2\\v^2-u^2= 2aS\)
Given, the initial speed of the bike, u = 0
The final speed of the bike, v = 40 m/s
The time takes to get this speed, t = 20 s
v = u + at
40 = 0 + a(20)
a = 2 m/s²
The distance traveled during acceleration, v²- u²= 2aS
(20)² - (0) = 2 ×2 ×S
S = 100 m
The total distance covered by the bike:
For the next 15 seconds, Distance = v ×t = 40 × 15 = 600 m
The total distance covered by bike = 100 + 600 = 700 m
Learn more about the equation of motion, here:
brainly.com/question/16982759
#SPJ2
What is one piece of evidence that supported the heliocentric view but contradicted the geocentric one
One piece of evidence that supported the heliocentric view and contradicted the geocentric view was the observation of the phases of Venus.
Galileo Galilei observed that Venus went through a complete set of phases, ranging from a thin crescent to a nearly full disk. This observation directly contradicted the geocentric model, which could not account for the varying phases of Venus.
In the geocentric model, all celestial bodies were believed to revolve around the Earth. According to this view, Venus should always appear as a thin crescent, similar to the Moon, because it would be seen from Earth on the same side of the Sun. However, Galileo's telescopic observations revealed a different reality. He observed that Venus exhibited a complete set of phases, just like the Moon. These phases included a thin crescent, a half phase, and a nearly full disk.
This observation strongly supported the heliocentric model proposed by Nicolaus Copernicus, where Venus orbits the Sun. In the heliocentric model, as Venus orbits around the Sun, its position relative to Earth changes, causing the observed phases to vary. Galileo's observation of the changing phases of Venus provided concrete evidence contradicting the geocentric view and lending support to the heliocentric model. This evidence played a pivotal role in the scientific revolution and the acceptance of the heliocentric model of the solar system.
To learn more about heliocentric model, click here:
brainly.com/question/19757858
#SPJ11
What are 2 factors affecting friction?
Answer:
xhxzguztyayrayhNzxlhhlिगजि
A bowling ball rolls 33\,\text m33m33, start text, m, end text with an average speed of 2.5\,\dfrac{\text m}{\text s}2.5 s m 2, point, 5, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction. How many seconds did the ball roll?
The ball rolled for 13.2 s
Further explanationSpeed is scalar and no direction
\(\tt avg~speed=\dfrac{total~distance}{elapsed~time}=\dfrac{\Delta x}{\Delta t}\)
A bowling ball rolls 33 m, with average speed = 2.5 m/s
So elapsed time :
\(\tt t=\dfrac{33~m}{2.5`m/s}=13.2~s\)
Answer:
13.2
Explanation:
Question 1 of 10
What is a neutron
A. A particle inside the nucleus that has no charge
B. A positive particle inside the nucleus
O C. A negative particle outside the nucleus
O D. A negative particle inside the nucleus
Answer:
The neutron is a subatomic particle, symbol
n
or
n0
, with no electric charge and a mass slightly greater than that of a proton. Protons and neutrons constitute the nuclei of atoms. Since protons and neutrons behave similarly within the nucleus, and each has a mass of approximately one atomic mass unit, they are both referred to as nucleons.[6] Their properties and interactions are described by nuclear physics.
Explanation:
pls mark me as BRAINLIEST
There are 2 cars that are getting ready to race. After sitting at a stoplight for 30 seconds, the light turns green and they begin to accelerate at a rate of 4m/s2. The cars were neck and neck the whole way after traveling 150 meters. How long did it take them to travel that 150 meters?
Answer:
75secondsExplanation:
Given that the acceleration of the car is
a=4m/s^2
and also the distance covered is
d=150m
from the problem "The cars were neck and neck the whole way after traveling 150 meters"
this means velocity was constant throughout
s=ut+1/2at
150=0*t+4t/2
150=2t
divide both sides by 2
t=150/2
t=75seconds
1. Re-arrange the Ohm’s Law equation to solve the following:I = Type your answers here.R = Type your answers here.2. Power is equal to voltage multiplied by current. Add the missing information in each of the following power equations.P = V Type your answers here.P = R Type your answers here.P = V2 Type your answers here.
2)
\(\begin{gathered} P=VI \\ P=RI^2 \\ P=\frac{V^2}{R} \end{gathered}\)Explanation
Step 1
Ohm's law states that the strength of a direct current is directly proportional to the potential difference and inversely proportional to the resistance of the circuit.
\(I=\frac{V}{R}\)so
a)
\(I=\frac{V}{R}\)b)
\(\begin{gathered} I=\frac{V}{R} \\ \text{Multiply both sides by R} \\ I\cdot R=R\cdot\frac{V}{R} \\ IR=V \\ \text{divide both sides by I} \\ \frac{RI}{I}=\frac{V}{I} \\ R=\frac{V}{I} \end{gathered}\)Step 2
2
let
Power is equal to voltage multiplied by current.
so
\(P=VI\rightarrow(1)\)also, replacing
\(\begin{gathered} P=VI \\ P=(IR)I \\ P=RI^2\rightarrow(2) \\ \end{gathered}\)also
\(\begin{gathered} V^2=I^2R^2 \\ \text{hece} \\ I^2=\frac{V^2}{R^2} \\ \\ \text{therefore, } \\ P=RI^2\rightarrow(2) \\ P=\frac{V^2}{R^2}\cdot R \\ P=\frac{V^2}{R} \end{gathered}\)I hope this helps you
A tortoise can move with a speed of 10.0cm/s, while a rabbit can move 10 times faster. In a race, both of them started at the same time, but the rabbit stopped to rest for three minutes. The tortoise wins by a distance of 10cm from the rabbit. How long is the race?
A. 125.2s
B. 159.8s
C. 199.9s
D. 205.7s
Answer:
C. 199.9 s
Explanation:
3 minutes = 3×60 = 180 seconds.
the turtle moves in that time 180×10 = 1800 cm.
in other words the rabbit gave it that much head-start (it does not matter if that was at the begin of in the middle of the race).
the rabbit moves with 10×10cm/s = 100cm/s.
the rabbit needs therefore 1800/100 = 18 seconds for the
1800 cm.
at that time the turtle has added another 18×10 = 180 cm.
for which the rabbit needs 180/100 = 1.8 seconds.
during that time the turtle has added 1.8×10 = 18 cm.
and so on.
in formal mathematics this looks like this :
1800 + 10x = 100x
after x seconds of the rabbit running both will have run the same distance, and it is a tie.
1800 = 90x
x = 20 seconds
so, at that point, the rabbit was actively running for 20 seconds and raced 20×100 = 2000 cm
and the turtle was actively running for 180 + 20 = 200 seconds, and also covered 200×10 = 2000 cm.
but our question tells us that the turtle won by 10 cm.
so, the race was over a little bit before these 200 seconds (for a tie).
this means, the rabbit could not run the last 10 cm for the tie (because the race was over and the turtle had won).
the rabbit would have needed 10/100 seconds for these 10 cm.
as speed = distance/time
we need to divide distance by speed
distance/1 / distance/time
to get time.
so,
10cm/1 / 100cm/s = 10s/100 = 1/10 s
so, we need to deduct this 1/10 s from the 200 seconds of the turtle (and also from the 20 seconds for the rabbit).
the race lasted of course the whole time the turtle was running (while the rabbit was resting, officially still participating in the race with speed 0 for 3 minutes).
and so, the race was 199.9 s long.
is god real why or why not and what proof to back that up?
The concept of "God" means different things to different people, so it's difficult to provide a definitive answer to this question. Some people believe in a specific deity or deities, while others believe in a more abstract or universal concept of divinity. Still others do not believe in any kind of higher power at all. There is no single piece of evidence that can definitively prove or disprove the existence of God, as people's beliefs about God are often based on faith, personal experiences, and philosophical arguments. Ultimately, the question of whether God exists is a matter of personal belief and interpretation.
Consider a double Atwood machine constructed as follows: A mass 4m is suspended from a string that passes over a massless pulley on frictionless bearings. The other end of this string supports a second similar pulley, over which passes a second string supporting a mass of 3m at one end and m at the other. Using two suitable generalized coordinates, set up the Lagrangian and use the Lagrange equations to find the acceleration of the mass 4m when the system is released. Explain why the top pulley rotates even though it carries equal weights on each side.