D. 3/4 of the total energy is stored in the spring, As per conservation of energy where the energy stored in the Spring will pass to the masses kept there.
As Conservation of energy states that energy remains conserved in case of elastic collisions. And here we can say that on a Frictionless surface, no energy would be dissipated.
So as 3/4 of the mass is at the mass with 3m so to equate the energy, which we can say 3/4 of the total energy Let's see how-
3Mv1 + Mv2 =0
3v1 = -v2
so we can see the speed of lighter mass will be thrice so so energy will be
1/2mv^2 so we can conclude the energy of mass with 3m will have the energy of 3/4
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Which manifestation method is faster 369 or 777
Note that it is note clear which manifestation method (777 or 369) is faster. Note that "Manifestation Methods" is not Science and can even be considered a Hoax which seems to be gaining a lot of attention on social media.
What is a Manifestation Technique?A manifestation technique is a strategy or practice that uses the power of positive thoughts, visualization, and affirmations to bring one's wants or objectives into reality.
The goal is to direct one's energy and attention toward what one wishes to achieve, so cultivating a positive mentality and attracting wonderful events and experiences into one's life.
The manifestation technique has no set speed because it is based on human ideas and subjective experiences rather than a scientific or provable procedure. Both 369 and 777 are manifestation techniques with various proponents and procedures, but their efficacy cannot be compared because it is dependent on individual beliefs and experiences.
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The diagram below represents two satellites of equal mass, A and B, in circular orbits around a planet. Compared to the magnitude of the gravitational force of attraction between satellite A and the planet, the magnitude of the gravitational force of attraction between satellite B and the planet is
answer choices
O twice as great
O half as great
O four times as great
O one fourth as great
The magnitude of the gravitational force between satellite B and the planet is one fourth as great as the gravitational force between satellite A and the planet.
The gravitational forces between the planet and each satellite are governed by:
F = GM m/r²
Where:
G = gravity constant
M = mass of the planet
m = mass of the satellite (both satellites have the same mass)
r = radius or satellite's orbit
Notice that the gravitational force is inversely proportional to r².
Information available in the problem:
Circular orbit of satellite A has radius: R
Circular orbit of satellite B has radius: 2R
Hence,
F_B : F_A = R² : (2R)²
F_B : F_A = R² : 4R²
F_B : F_A = 1 : 4
F_B = 1/4 F_A
The gravitational force between planet B and the planet is 1/4 of that of satellite A.
The picture in your question is missing. Most likely it was like on the attached picture.
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a) Find the value of I _______ in the circuit shown in Fig 1. b) Calculate the power for each element P_6A ____ P_2V____ P 3V____ P 5V____ c) Double check your answer in part b. Is the total power delivered______ equal to the power absorbed 个 6A 10 2V =3V Figure 1 2A + 5V
By dividing the voltage by the resistance, or I = V/R, you may quickly determine the current value from the equation.
Explain about the voltage?When charged electrons (current) are forced through a conducting loop by the pressure of an electrical circuit's power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).
The difference in electric potential between two places is known as voltage. Simply put, current is the pace at which electric charge flows. The pace at which electric charge moves across a circuit at a specific place is known as the current, in simple terms. Volts is the SI unit for voltage (V)
Voltage is a gauge of how powerful a circuit's current is. It is what "pushes" the current to a gadget through the circuit.
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a light bulb connected to a battery is interrupted by a substance, which when dissolved has a molar smth of 1.0, all these substances work except for
A light bulb connected to a battery is interrupted by a substance, which when dissolved has a molar smth of 1.0, all these substances work except for electrolyte solution.
What is electrolyte solution?Electrolyte, in chemistry and physics, substance that conducts electric current as a result of a dissociation into positively and negatively charged particles called ions, which migrate toward and ordinarily are discharged at the negative and positive terminals (cathode and anode) of an electric circuit, respectively.
The most familiar electrolytes are acids, bases, and salts, which ionize when dissolved in such solvents as water or alcohol. Many salts, such as sodium chloride, behave as electrolytes when melted in the absence of any solvent; and some, such as silver iodide, are electrolytes even in the solid state.
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sodium phosphate, can be found in fast food, baked goods, processed meat, and other manufactured foods. Which element has the percentage composition of 39%?
Answer: Sodium phosphate is a chemical compound made up of the elements sodium, phosphorus, and oxygen. The percentage composition of each element can be found by determining the mass of each element in the compound and dividing it by the total mass of the compound.
In sodium phosphate, the percentage composition of sodium is 39%. This means that out of the total mass of the compound, 39% of it is made up of sodium atoms. The other elements, phosphorus and oxygen, make up the remaining 61% of the compound.
A skier with a potential energy of 137,200 J waits on top of a ski jump that us 200 m high what is the mass of the skier
An object's potential energy is the energy it possesses as a result of its height or departure from of the base mean position. Final response: The skier therefore weighs 70 kg.
Describe potential energy.A sort of energy that can be stored but is reliant on the locations of various system components in relation to one another is known as potential energy. A spring gains potential energy when it is stretched or compressed. When a steel ball is lifted above the earth's surface compared to when it is returned to Earth, its potential energy is substantially higher.
What makes potential energy so special?Any object that is raised from its resting posture contains energy that is stored; for this reason, it is referred to as electric potential because it has the capacity to perform work when released.
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A linebacker with a mass of 94.53 kg is
running east with a speed of 6.62 m/s
to tackle a running back with a mass of
84.05 kg running south with a speed of
9.77 m/s. The linebacker collides with
the running back. What is the
combined speed of the linebacker and
running back after the collision?
The final velocity after the collision would be
When two objects collide, their momentum and energy are both conserved. To put it another way, the system's total energy and momentum are unaffected by the collision and are the same as they were before it. Elastic and inelastic collisions are the two categories of collisions that can occur. When the kinetic energy of a colliding object is not conserved but the momentum is, we get an inelastic collision.
A perfectly inelastic collision occurs when the colliding items remain stuck together and maintain the same velocity after the impact. The principle of conservation of momentum is used to calculate the after-collision velocity in a perfectly inelastic collision. It’s given by:
m₁v₁ + m₂v₂ = (m₁+m₂)v₃
(94.53×6.62) + (84.05×9.77) = (94.53 + 84.05) v₃
625.79 + 821.17 = 178.58 v₃
v₃ = (625.79 + 821.17) ÷ 178.58
v₃ = 8.10 m/s
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What conclusion does the student most likely make based on this data?
The conclusion that the student will most likely make based on this data is that tightly packed particles in solids slow down the light waves, however, sound waves make particles bounce into each other, so they travel faster in solids which is denoted as option D.
What is a Wave?This is referred to as a propagation of disturbances from place to place in a regular and organized way.
Sound waves make particles bounce into each other, so they travel faster in solids and is as a result of the vibrations of kinetic energy which move along by being passed from one molecule to another thereby making option D the correct choice
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The full question:
What conclusion does the student most likely make based
on this data?
Light waves always travel the same speed; however, the speed of sound is determined by the medium that it travels throughAll sound waves always have the same energy, so the temperature of the medium does not affect wave speed.Light needs to vibrate particles, so it travels fastest in tightly packed solids, while sound does not need a medium, so it travels fastest in a gas.Tightly packed particles in solids slow down the light waves, however, sound waves make particles bounce into each other, so they travel faster in solids.three cables are used to tether a balloon as shown. determine the vertical force p exerted by the balloon at a knowing that the tension in the cable ad is 481 n.
The vertical force p exerted by the balloon is 926 N.
What is Velocity ?
Velocity is a vector quantity that describes the rate of change of an object's position. It is equal to the displacement of an object divided by the time interval over which the displacement occurred. Velocity has both magnitude and direction, and its units are typically meters per second (m/s). The velocity of an object can change over time due to acceleration, and if an object is moving in a circular path, it also has a component of velocity perpendicular to its direction of motion, known as centripetal velocity.
[tex]$$Tensions in vector form are;$$\begin{aligned}& \vec{T}_{A B}=T_{A B}\left[\frac{\vec{r}_{A B}}{\left|r_{A B}\right|}\right] \\& \Rightarrow \vec{T}_{A B}=T_{A B}\left[\frac{-4.20 \hat{i}-5.60 \hat{j}}{\sqrt{4.20^2+5.60^2}}\right] \\& \Rightarrow \vec{T}_{A B}=-0.6 T_{A B} \hat{i}-0.8 T_{A B} \hat{j}\end{aligned}$$and[/tex]
[tex]$$\begin{aligned}& \vec{T}_{A C}=T_{A C}\left[\frac{\vec{r}_{A C}}{\left|r_{A C}\right|}\right] \\& \Rightarrow \vec{T}_{A C}=T_{A C}\left[\frac{2.40 \hat{i}-5.60 \hat{j}+4.20 \hat{k}}{\sqrt{2.40^2+5.60^2+4.20^2}}\right] \\& \Rightarrow \vec{T}_{A C}=0.3243 T_{A C} \hat{i}-0.7568 T_{A C} \hat{j}+0.5676 T_{A C} \hat{k}\end{aligned}\\\\and[/tex]
[tex]\begin{aligned}& \vec{T}_{A D}=T_{A D}\left[\frac{\vec{r}_{A D}}{\left|r_{A D}\right|}\right] \\& \Rightarrow \vec{T}_{A D}=(481)\left[\frac{-5.60 \hat{j}-3.30 \hat{k}}{\sqrt{5.60^2+3.30^2}}\right] \\& \Rightarrow \vec{T}_{A D}=-414.4 \hat{j}-244.2 \hat{k}\end{aligned}$$[/tex]
[tex]$$Vertical force at $A$ is:$$\vec{F}_A=F_A \hat{j}$$[/tex]
[tex]$$By equilibrium of $z$-forces ( $k$ components);$$\begin{aligned}& \sum F_2=0 \\& \Rightarrow 0.5676 T_{A C}-244.2=0 \\& \Rightarrow T_{A C}=430.2571 \mathrm{~N}\end{aligned}$$[/tex]
[tex]$$By equilibrium of $x$-forces (i components);$$\begin{aligned}& \sum F_x=0 \\& \Rightarrow-0.6 T_{A B}+0.3243 T_{A C}=0 \\& \Rightarrow-0.6 T_{A B}+0.3243(430.2571)=0 \\& \Rightarrow T_{A B}=232.5714 \mathrm{~N}\end{aligned}$$By equilibrium of $y$-forces (j components):$$\begin{aligned}& \sum F_y=0 \\& \Rightarrow-0.8 T_{A B}-0.7568 T_{A C}-414.4+F_A=0 \\& \Rightarrow-0.8(232.5714)-0.7568(430.2571)-414.4+F_A=0 \\& \Rightarrow F_A=926 \mathrm{~N}\end{aligned}$$[/tex]
Thus, the vertical force p exerted by the balloon is 926 N.
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the small piston of a hydraulic lift has a crosssectional area of 2.4 cm2 and the large piston 276 cm2 . what force must be applied to the small piston for the lift to raise a load of 2.4 kn? (in service stations, this force is usually exerted by compressed air.) answer in units of n.
The force applied to the small piston should be 2400 N.
The force applied to the small piston is related to the force applied to the large piston by the ratio of their cross-sectional areas. This is known as Pascal's law, which states that pressure applied to a confined fluid is transmitted similarly this way and that.
The equation for the force applied to the large piston (F2) can be determined from the pressure applied to the small piston (F1) and their particular cross-sectional areas (A1 and A2):
F2 = (F1 * A2)/A1
We are given that F1 should be equivalent to the force required to raise a load of 2.4 kN, or 2400 N.
F2 = (2400 N * 276 cm^2)/(2.4 cm^2) = 240000 N
Hence, the force applied to the small piston should be 2400 N.
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Is tension the same on both sides of a rope?
The tension of an "ideal cord" that runs through an "ideal pulley" is the same on both sides of the pulley (and at all points along the cord).
Yes, the tension of an "ideal cord" that runs through an "ideal pulley" is the same on both sides of the pulley
What is force?It is the physical magnitude that expresses the effort necessary to move the mass of one kilogram with an acceleration of one meter per second squared, this is expressed in units of the international system in Newton.
We can tell that the tension is the magnitude of contact force between different segment of a string, rope or wire. As an ideal cord has zero mass and zero weight, the tension will be the same in all points along the cord.
The tension of a body could be expressed by:
T = mg + ma
Where:
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You collect some data on horse racing along a straight track. You are able to fit the motion of the horse to a function during this interval: ?? (?? )= 10??+ (5 ??/??^2)t^2 + (3 ??/??^3)t^3 where you’ve chosen a particular spot on the track to be your origin and started your clock (t = 0) when you started collecting this new data. a. What is the horse’s velocity as a function of time? Does the horse ever turn around during this time? b. What is its acceleration as a function of time?
From this equation, we can determine that the horse will never turn around during this time, since the equation is always increasing.
Physically, this equation describes the motion of the horse along a straight track.
The first term, 10, represents the horse's initial velocity. The second term, (5/2)t^2, represents the acceleration due to gravity, which is constant and causes the horse to accelerate as time passes. The third term, (3/6)t^3, represents the effects of air resistance, which increases with time, causing the horse to slow down as time passes.As a result, the overall effect of these three terms is that the horse accelerates as time passes until it reaches its maximum velocity, and then gradually slows down as it approaches the end of the track.
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At the core of all examples of Pavlovian conditioning is:Please choose the correct answer from the following choices, and then select the submit answer button. A.rewards.
B.association..
C.punishments.
D.neurogenesis.
At the core of all examples of Pavlovian conditioning is association. So option B is correct.
Pavlovian conditioning, also known as classical conditioning, is a type of learning that occurs when a neutral stimulus becomes associated with a stimuli that naturally evokes a response, such as food or a sound. The neutral stimulus becomes a conditioned stimulus and elicits the same response as the natural stimulus.
This process occurs through the repeated pairing of the two stimuli, and the formation of an association between them. The core of all examples of Pavlovian conditioning is therefore the establishment of an association between two stimuli, leading to a learned response.
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You have learned where Earth is in relation to the sun, other planets and galaxies. Based on what you learned, select all of the correct statements from the following list.The Milky Way is a spiral galaxy.The sun is a star.The sun is not part of the Milky Way.Earth and most of the other planets orbit the sun in nearly circular elliptical orbits.Clouds, filaments, and walls are structures within galaxies.Earth rotates around the sun, which is the reason we see the sun rise and set.Galaxies are composed of billions of stars.
Answer: - Galaxies are composed of billions of stars.
- Earth and most of the other planets orbit the sun in nearly circular elliptical orbits.
- The sun is a star.
-The Milky Way is a spiral galaxy.
Explanation:
:)
The Milky Way is a spiral galaxy, the sun is a star, and Earth and most of the other planets orbit the sun in nearly circular elliptical orbits.
From the given options, the correct statements are:
The Milky Way is a spiral galaxy.The sun is a star.Earth and most of the other planets orbit the sun in nearly circular elliptical orbits.Clouds, filaments, and walls are structures within galaxies.Earth rotates around the sun, which is the reason we see the sun rise and set.Galaxies are composed of billions of stars.Therefore, the incorrect statements are: The sun is not part of the Milky Way.
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Two identical loudspeakers 1.75 m apart are emitting sound waves into a room where the speed of sound is 340 m/s. Boss Hog is standing 4.5 m in front of one of the speakers, perpendicular to the line joining the speakers. A. How far from the other speaker is Boss Hog? (This is a geometry question.) B. If Boss Hog hears a maximum in the sound intensity, indicating constructive interference, what is the lowest possible frequency of the sound? C. If he hears no sound at that location, what is the lowest possible frequency the speakers are playing that can heard by a human?
A) The other speaker is 4.83 m from the Boss hog, B) Lowest possible frequency heard by Boss Hog is 1030.3 Hz, C) Lowest possible frequency if he hears no sound is 515.2 Hz.
Distance between two speakers = 1.75 m
Distance between Boss Hog from one speaker, = 4.5 m
Distance of other speaker from Boss Hog, d = √(1.75² + 4.5²) = 4.83 m
Path length difference, L = 4.83 - 4.5 = 0.33 m
For constructive interference, L = nλ
0.33 = 1 × λ [For lowest frequency, n=1]
So the lowest frequency f₁ = speed/wavelength = 340/0.33
f₁ = 340/0.33 = 1030.3 Hz
For destructive interference, L = (n + 1/2)λ
0.33 = 1/2 × λ [For lowest possible frequency, n= 0]
λ = 0.33/0.5 = 0.66
So lowest frequency, f₂ = 340/0.66 = 515.2 Hz
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Which color of visible light has a shorter wavelength than blue light? O A. Red O B. Green O C. Violet OD. Orange A
Answer:
Violet
Explanation:
ROY G BIV
John Glenn's 1300 kg Mercury capsule orbited at 7800 m/s (Eastward) velocity, before retrorockets pushed westward: 4450 N for 5 s, 8900 N for 10 s, 4450 N for 5s.
b) what was the total Impulse from the retro-rockets?
b) what was the quickest acceleration caused by the retrorockets? (ignore gravity here)
Answer:
b) The total impulse from the retro-rockets is the sum of the impulse from each individual engine firing. The impulse from each firing is the force applied multiplied by the duration of the firing. Therefore, the total impulse is (4450 N x 5 s) + (8900 N x 10 s) + (4450 N x 5 s) = 22,250 Ns + 89,000 Ns + 22,250 Ns = 133,500 Ns.
b) The quickest acceleration caused by the retrorockets is the change in velocity divided by the duration of the retrorocket firing. Since the retrorocket firing is done in three stages, we need to find the acceleration for each stage and then take the maximum value. The first stage acceleration is (4450 N)/(1300 kg)= 3.4 m/s^2, the second stage acceleration is (8900 N)/(1300 kg)= 6.8 m/s^2, the third stage acceleration is (4450 N)/(1300 kg)= 3.4 m/s^2. So the quickest acceleration is 6.8 m/s^2.
after landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 51.0 cmcm . the explorer finds that the pendulum completes 101 full swing cycles in a time of 136 ss .part awhat is the magnitude of the gravitational acceleration on this planet?express your answer in meters per second per second.view available hint(s)for part aactivate to select the appropriates template from the following choices. operate up and down arrow for selection and press enter to choose the input value typeactivate to select the appropriates symbol from the following choices. operate up and down arrow for selection and press enter to choose the input value typegplanetgplanet
The magnitude of the acceleration due to gravity of the planet is 11.06 m/s², if the pendulum completes 101 full swing cycles in 136 seconds.
Length of the pendulum, l = 51.0 cm = 0.51 m
Time taken to complete 101 full swings cycle is 136 seconds, so
Time period of the pendulum, T = 136/101 = 1.35 sec
Let the value of gravitational acceleration on the planet, = gₓ
We know the equation of simple pendulum is: T = 2π√(l/g)
1.35 = 2π√(0.51/g)
Squaring of both sides,
1.35² = (2π)²×(0.51/gₓ)
1.82 = 20.13/gₓ
gₓ = 20.13/1.82
gₓ = 11.06 m/s²
--The given question is incorrect, the correct question is:
"after landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 51.0 cm . the explorer finds that the pendulum completes 101 full swing cycles in a time of 136 s. What is the magnitude of the gravitational acceleration on this planet? Express your answer in meters per second per second."--
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b) Why should Physics be studied?
Answer:
Physics helps us to understand how the world around us works, from can openers, light bulbs and cell phones to muscles, lungs and brains; from paints, piccolos and pirouettes to cameras, cars and cathedrals; from earthquakes, tsunamis and hurricanes to quarks, DNA and black holes.
Explanation:
Oummm guys sorry if i dont have my examples
Answer:
physics contribute to the technology infrastructure
Consistent with the principle of neural representation, which of the following factors would be LEAST consequential in understanding our experience of seeing another person? a. electrical signals in one's optic nerve
b. electrical signals in one's brain
c. the image on one's retina
d. the light reflected from the other person
'Electrical signals in one's optic nerve' would be least consequential in understanding our experience of seeing another person.
What exactly do you mean by optic nerve?
The optic nerve is a bundle of nerve fibers that carries visual information from the retina to the brain. It is responsible for vision and is the nerve that connects the eye to the brain.
Electrical signals in one's optic nerve are the physical basis of vision, but they do not provide any information about the person being seen. This is because an electrical signal is just a representation of the light that hits the eye and does not provide any information about the person being seen. The actual experience of seeing another person is determined by a combination of factors, including the person's facial features, body language, and other visual cues.
Hence, option A is correct.
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Let Q represent a mass of radioactive plutonium (239Pu) (in grams), whose half-life is 24,100 years. The quantity of plutonium present after t years is Q = 16(1/2)^t/24100 Determine the initial quantity (when t = 0)
The mass of the plutonium at the beginning is 16 g.
What is the initial quantity of the plutonium?We have to note that the element that we call plutonium is radioactive and the implication of that is that the element would be able to decompose with time and then the amount of the plutonium would reduce.
Now we have that;
Q = 16(1/2)^t/24100
Q = Amount of the plutonium
t = The time that is taken.
We have been told in the question that t =0 Hence;
Q = 16(1/2)^0/24100
Q = 16 * 1
Q = 16 g
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Two objects,A and B, interact. Object A is much more massive than object B. Determine weather the following statements about the interaction between the two objects are true or false
Answer:
Explanation:
A - true
b - false
C - false
D - true
A wind farm generator uses a two-bladed propeller (see figure) mounted on a pylon at a height of 20 m. The length of each propeller blade is 12 m. A small piece from the tip of the propeller breaks off when the propeller is vertical. At that instant, the period of the motion of the propeller is 1.2 s. The fragment flies off horizontally, falls with negligible air resistance, and strikes the ground at P.
a) How far is point P from the base of the pylon?
(b) At what angle with respect to the vertical is the fragment moving just as it strikes the ground at P? (please go into detail on this part)
a. Point P is 160.8 m from the base of the pylon.
b. The angle at which the fragment hits the ground is 111.75° to the vertical.
The question is not complete. A similar question is in the attachment. The fragment flew horizontally and made a projectile motion. In this motion, the object will move in uniform motion on the x-axis and move in non-uniform motion on the y-axis.
The non-uniform formula in the y-axis
v₂ = v₁ + gtv₂² = v₁² + 2ghh = v₁ t + 0.5 gt²where
g = acceleration due to gravity = 9.8 m/s²v₁ = initial velocity (m/s)h = v₁ t + 0.5 gt²
32 = (0 × t) + (0.5 × 9.8 × t²)
32 = 4.9 × t²
t² = 32 ÷ 4.9
t² = 6.53
[tex]t \:=\: \sqrt{6.53}[/tex]
t = 2.56 s
It takes 2.56 s for the fragment to reach P.
The propeller moves in a uniform circular motion. The tangential velocity
v = (2π × R) ÷ T
R = radius = 12 mT = period = 1.2 sv = (2π × R) ÷ T = (2 × 3.14 × 12) ÷ 1.2 = 75.36 ÷ 1.2 = 62.8 m/s
The uniform formula in the x-axis
v₂ = v₁d = v₁ × twhere
v₁ = initial velocity (m/s)d = v₁ × t = 62.8 × 2.56 = 160.8 m
Calculate the angle when the fragment hits the ground
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is the statement the system is at equilibrium synonymsous with the statement chemical transformations are no longer occuring in the system
The statement "the system is at equilibrium" and the statement "chemical transformations are no longer occurring in the system" are not synonymous.
In a chemical system, "equilibrium" refers to a state in which the rate of the forward reaction is equal to the rate of the reverse reaction. At this state, the concentration of the reactants and products remains constant, but the chemical reactions are still occurring, just at a slower rate.
On the other hand, "chemical transformations are no longer occurring in the system" would imply that there is no chemical reaction happening at all.
So while it is possible for a system to be at equilibrium and for chemical transformations to no longer be occurring, they are not the same thing. It's also possible for a system to be at equilibrium but for chemical transformations to still be occurring, just at a slower rate.
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A man is attempting to lift a crate with a double-pulley system, as shown. A single rope is routed from the ceiling, through the two pulleys, and to where the man pulls on it. The crate has mass m2 = 64 kg, and the man has m1 = 75 kg. He pulls downward on the rope with a force of magnitude F = 563 N. The pulleys are both massless and frictionless, and the rope is ideal.
(a) Let T be the tension in the rope. Enter an expression for the sum of the forces in the y direction acting on the crate.
(b) Using the results from above, write an expression for the crate's vertical acceleration, acrate.
(c) What is the magnitude, in newtons, of the tension force, T?
(d) What is the acceleration, in meters per squared second, of the crate?
a) The sum of the forces in the y direction acting on the crate
T - m₂ * g = 0
b) The crate's vertical acceleration
= (T - m₂ * g) / m₂
c) magnitude of tension in the rope
T = 738 N
d) The acceleration of the crate
9.3 m/s².
How to write the expression for the sum of the forcesa) The sum of the forces in the y direction acting on the crate can be expressed as:
T - m2 * g = 0
where
T is the tension in the rope,
m2 is the mass of the crate, and
g is the acceleration due to gravity (9.8 m/s^2).
b) The crate's vertical acceleration can be expressed as:
a crate = (T - m2 * g) / m2
c) The tension in the rope can be found by using the force that the man is applying:
F = T - m1 * g = 563 N
T = m1 * g + F = 75 kg * 9.8 m/s^2 + 563 N = 738 N
d) The acceleration of the crate can be calculated by substituting the value of T from above:
a crate = (T - m2 * g) / m2 = (738 N - 64 kg * 9.8 m/s^2) / 64 kg = 9.3 m/s^2.
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The half-life of a radioactive material is the time required for an amount of this material to decay to one-half its original value. Show that for any radioactive material that decays according to the equation Q? = -rQ, the half-life tau and the decay rate r satisfy the equation rtau = ln 2.
The half-life of a radioactive material is the time required for an amount of this material to decay to one-half its original value. The half-life tau and the decay rate r satisfy the equation r tau = ln 2.
Given the equation Q' = -rQ, where Q is the amount of the radioactive material present at time t and r is the decay rate.
The half-life tau is defined as the time it takes for the amount of the material to decay to one-half its original value, which can be expressed as:
Q(tau) = Q(0)/2, where Q(0) is the initial amount of the material.
Substituting into the decay equation and solving for tau, we get:
-rQ(tau) = -r(Q(0)/2)
-r(Q(0)/2) = -rQ(0)/2
ln(Q(0)/2) = -r tau
ln 2 = -r tau
r tau = ln 2
Therefore, the half-life tau and the decay rate r satisfy the equation rtau = ln 2.
Half-life is the amount of time it takes for half of the radioactive atoms in a sample to decay. It is a characteristic property of a radioactive substance and is used to describe its decay over time. The half-life of a radioactive material is the time required for half of the original amount of the material to decay. This property can be used to determine the age of ancient artifacts, to determine the age of rocks and minerals, and to predict the behavior of radioactive isotopes in various applications, such as medicine and power generation.
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A ball is thrown straight up into the air, it falls back down, bounces off the floor and is caught at the same height it was released from. A. Draw the motion diagram. B. What is the velocity at the highest point? How do you know? (This is not a calculation. This is a concept question.)
A motion diagram of this scenario would show a ball being thrown upward and then falling back down, bouncing off the floor before being caught at the same height it was released from.
At the highest point, the ball would have a velocity of 0 m/s, since it has reached its maximum height and its velocity has changed from positive to negative.
This can be determined by the fact that the ball is momentarily at rest at the highest point, and the concept of conservation of energy, since the total energy of the ball must be conserved throughout the entire motion.
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In the scientific method, which of these steps would normally follow experimentation and sharing of results?
Peer review
Apply objective experimentation and observation. Analyze collected data and Interpret results. Devise an evidence-based theory. Submit findings to peer review and/or publication.
Define scientific method?
The scientific method is the process of objectively establishing facts through testing and experimentation. The basic process involves making an observation, forming a hypothesis, making a prediction, conducting an experiment and finally analyzing the results.The term "scientific method" emerged in the 19th century, when a significant institutional development of science was taking place and terminologies establishing clear boundaries between science and non-science, such as "scientist" and "pseudoscience", appeared.The Scientific method is a process with the help of which scientists try to investigate, verify, or construct an accurate and reliable version of any natural phenomena.To learn more about scientific method refers to:
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the strength of the electric field at a certain distance from a point charge is represented by e. what is the strength of the electric field at twice the distance from the point charge? the strength of the electric field at a certain distance from a point charge is represented by e. what is the strength of the electric field at twice the distance from the point charge? at twice the distance, the strength of the field is 4e. at twice the distance, the strength of the field is e/2. at twice the distance, the strength of the field is 2e. at twice the distance, the strength of the field is e/4. at twice the distance, the strength of the field remains equal to e.
At twice the distance from a point charge, the strength of the electric field is 1/4 of its original value, so it is e/4.
The electric field is a fundamental concept in physics and is used to describe the force that a charged particle experiences in a given electric field. It is a vector quantity that represents the force per unit charge and is defined as the force that a charged particle would experience if placed at a given point in space. The electric field is created by a charged object and acts on other charged objects placed in its vicinity, causing them to experience a force. The strength of the electric field decreases with increasing distance from the charged object and its direction is defined as the direction in which a positive test charge would be pushed. The electric field is a crucial aspect of many areas of physics, including electromagnetism, circuits, and electronics.
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How would I set up this problem?
And how would I figure out the second part of the problem?
When starting up your computer, the hard drive begins to spin from a standstill. If it takes 6 seconds to reach a full speed of 5400 pm, what is its angular acceleration? If you wanted to reach full speed in only 2 seconds instead, how many times more torque would the motor have to exert?
The torque that would the motor have to exert of 3 Ƭ.
How to calculate torque?Let:
L, where L is the angular momentum
Let the torque be,
The axis of rotation is assumed to pass through the center of mass, with I being the moment of inertia.
be the angular speed is angular acceleration that is constant.
Initially, it takes 6 s to attain maximum speed, and the torque is expressed as follows:
For t=6s, = dL/dt => = I = I(/t)
To increase hard disk access, the torque must alter in accordance with
Ƭ"= I" = I(/t"), where t"= 2s
Thus,
Ƭ”/ Ƭ = ( I α”)/ (I α ) => Ƭ”/ Ƭ= Δt/ Δt” => Ƭ”/ Ƭ=6/2
Ƭ”= 3 Ƭ
The motor would need to provide a torque that is three times as strong as the initial torque.
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