The required mass of the object with an acceleration of 10 m/s² and a force of 10 newtons to accelerate it is 1 kg.
From Newton's second's law of motion, force is described in equation form as, F = m × a
where, m is mass
a is acceleration
Given that,
Acceleration of an object = 10 m/s²
Force needed to accelerate the object = 10 N
Object's mass = ?
From the above equation, making mass as the subject, we have,
F = m × a
m = F/a = 10/10 = 1 kg
Thus, the required object's mass is calculated to be 1 kg.
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Your twin sister (who has the same weight as you) and you decided to go up to a very tall building. You take the elevator straight up. Your twin sister decide to walk up the spiral stairway. Compare the gravitational potential energy of you and your sister, after you both reach the top. assuming that you and your friend have equal masses.
Both of you have the same amount of potential energy since your masses are the same.
Define potential energy?In physics, potential energy is the power that a substance retains as a result of its position in respect to other things, internal pressures, electric charge, or other substances. Potential energy is a type of stored energy that depends on the interactions of various system elements.
The potential energy of a spring rises when it is crushed or stretched. The potential energy of a steel ball increases if it is raised above the ground as opposed to falling to it. Potential energy is the name for the energy that exists in everything that is raised from rest and can be released at a later time.
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A candy-filled piñata is hung from a tree for Matthew's birthday. During an unsuccessful attempt to break the 4. 4-kg piñata, Hayden cracks it with a 0. 54-kg stick moving at 4. 8 m/s. The stick stops and the piñata undergoes a gentle swinging motion. Determine the swing speed of the piñata immediately after being cracked by the stick
The velocity of the other piece of the pinata which has a mass of 3.86 kg
is 0.67 m/s
The mass of the candy-filled pinata = 4.4 kg
The mass of the first piece of the pinata = 0.54 kg
The velocity of the first piece of the pinata = 4.8 m/s
The mass of the second piece = 3.86 kg
The velocity of the other piece can be found using the formula,
mu = m₁v₁ + m₂v₂
where m is the mass of the pinata
u is the velocity of the pinata at rest
m₁,m₂ are the masses of the first and second pieces of pinata
v₁,v₂ is the velocity of the two pieces
Let us substitute the known values in the above equation, we get
4.4 x 0 = 0.54 x 4.8 + 3.86v₂
= 2.592 + 3.86v₂
3.86v₂ = -2.592
v₂ = 2.592/3.86
= 0.67 m/s
Therefore, the velocity of the other piece is 0.67 m/s
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Deviance has an effect on social power. How is this BEST demonstrated?
A. Powerful people in society keep their power by defining the laws of deviant behavior.
B. People with little power perform more questionable acts with fewer consequences than the more powerful people.
C. All groups that follow cultural norms tend to have a large amount of social power in society.
D. Someone who doesn't follow norms in a society always gains power because other people will rebel with them.
Deviance has an effect on social power. Then, Powerful people in society keep their power by defining the laws of deviant .
Forms of Deviant Behavior Deviant Behavior Based on NatureBased on the nature is divided into two kinds, namely negative behavior and positive behavior.
a. Positive deviant behavior
Positive behavior is deviant behavior that gives or has a positive impact on social life, because it has innovative elements and ideas that emerge are also creative, so as to enrich people's insights.
Positive behavior is also directed primarily at the values to be achieved together as well as social interests and is often considered as something ideal in society. Positive behavior will usually be accepted by society, because it is a form of development and adjustment to the times.
b. Negative deviant behavior
Negative behavior is the opposite of positive behavior.
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Answer:
a
Explanation:
Why is static flexibility important?
Static stretching promotes range of motion (ROM), reduces musculotendinous stiffness, and lowers the risk of acute muscle strain injuries by relaxing and lengthening the muscles.
Benefits and objectives:Static is primarily used for variables or methods that are constant across all instances of a class. Static stretching has the potential to reduce discomfort and stiffness after a workout while also enhancing flexibility and range of motion. To help you feel more relaxed, static stretching is a fantastic approach to help your muscles release stress and tension. It is quite efficient to improve flexibility in this way. You should incorporate static stretches into your cool-down routine to help prevention of injury.
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Trends are easier to detect when the signal-to-noise ratio is low.
a True
b False
Answer:
I think it's b. False
Explanation:
How does kinetic energy play a role in phase change?
During phase shift, the substance's molecules' average kinetic energy remains constant.
How does kinetic energy affect phase change?Simply put, molecules move more quickly as kinetic energy rises. Nevertheless, molecules change phases when potential energy rises. The molecule changes phases as a result of an increase in potential energy.
In a phase change, matter moves from one state to another either by gaining energy through heat and entering a more energetic state, or by losing energy through heat and entering a state with lower energy.
The energy supplied during phase change is only used to separate the molecules; none of it is used to boost the kinetic energy of the molecules. Therefore, since the molecules' kinetic energy is constant, its temperature won't increase.
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A person weighing 500 N and a girl weighing 350 N are sitting on a board. The 50N- board is uniform and is supported at the center. The 500-N person is 1.5 m from the center, how far from the center should the girl sit so that the board is in equilibrium
The girl should sit 2.14 m from the center to keep the board in equilibrium.
What is equilibrium?
Equilibrium is a state in which the net force and net torque acting on an object are both equal to zero. This means that the object is either at rest or moving at a constant velocity. In other words, the object is not accelerating or rotating.
In order for the board to be in equilibrium, the sum of the forces acting on it must be equal to zero. Since the board is uniform and supported at the center, the only forces acting on it are the weights of the person and the girl.
To find the distance from the center that the girl should sit, we can set up the following equation:
F_net = 0 = (500 N)(1.5 m) - (350 N)(x)
where F_net is the net force acting on the board, x is the distance from the center where the girl is sitting, and the 1.5 m is the distance from the center where the person is sitting.
Solving this equation for x:
x = (500 N)(1.5 m) / 350 N = 2.14 m
Hence, the girl should sit 2.14 m from the center to keep the board in equilibrium.
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It will be useful to be familiar with electric dipole moments when you start your study of electrocardiography. An electric diople moment is a vector that points:
An electric dipole moment is a vector that points means it has both magnitude as well as direction.
What does dipole moment electricity entail?A vector quantity is the electric dipole moment. It moves from a negative charge to a positive charge in a clearly defined direction. But it's crucial to keep in mind that only in physics is this convention of direction used.
What is the dipole moment in units?This vector quantity points in the direction of the dipole's positive charge from its negative charge. The SI unit for electric dipole moment is the coulomb-meter (Cm), whereas the C.G.S. unit is the debye.
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Answer is needed as soon as possible!
The reaction below is conducted in a closed system.
Is the following reaction an endothermic or exothermic reaction?
Why is it that type of reaction?
N2+O2 -> 2NO+181kJ
This is an exothermic reaction because it releases energy in the form of heat (181kJ). When an exothermic reaction occurs, energy is released into the environment.
What is exothermic reaction?
An exothermic reaction is a chemical reaction that releases energy in the form of heat. This heat is released into the environment, making the surrounding area warmer.
Exothermic reactions can occur naturally and can also be artificially induced. Examples of exothermic reactions include burning fuels, neutralization reactions, and even certain biological processes.
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A medical defibrillator stores 950 J of energy in a 100uF capacitor.
What is the voltage across the capacitor?
If the capacitor discharges 350J of its stored energy in 3.1ms , what power is delivered during this time?
Power is given at p=1.13 *10^(-5) throughout this period.
An electrical component that can store and release electric energy is a power capacitor. The device comprises of one or more pairs of plates that are connected to two terminals and allow the stored energy to be released into a circuit as needed. The plates are separated from one another by an insulating material (the dielectric). By removing the reactive power from the supply line, a capacitor aids in the improvement of power factor.
This is accomplished through the capacitor's storage of magnetic reversal energy. Power is defined as energy multiplied by the frequency of an operation. (a) Computation needs switching from one voltage (V 1) to another voltage (V 2) before most likely returning to a starting voltage (like V 1).
Power = u/t
p = 350/(3.1*(1/1000))
p= 1.13 *10^(-5)
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An electron of mass m and charge -e is moving through a uniform magnetic field B=(B2,0,0) in vacuum. (Figure 1)At the origin, it has velocity v = (vx, Vy, 0), where vx >0 and Vy > 0. A screen is mounted perpendicular to the x axis at a distance D from the origin. Throughout, you can assume that the effect of gravity is negligible. First, suppose B, = 0. Find the y coordinate y of the point at which the electron strikes the screen. Express your answer in terms of D and the velocity components V, and Vy. View Available Hint(s) Figure 1 of 1 Now suppose B > 0, and another electron is projected in the same manner. Which of the following is the most accurate qualitative description of the electron's motion once it enters the region of nonzero magnetic field? O The electron decelerates before coming to a halt and turning around while always moving along a straight line. O The electron's motion will be unaffected. (It will continue moving in a straight line with the same constant velocity.) O The electron moves in a circle in the xy plane. screen O The electron moves along a helical path about an axis parallel to the field lines with constant radius and constant velocity in the x direction.
C:The electron moves in a circle in the xy plane.
What is electron ?
Electron is a free and open-source framework created by GitHub that helps developers build cross-platform desktop applications with HTML, CSS, and JavaScript. Electron is based on Node.js and Chromium, making it a powerful tool for creating native applications with web technologies. Electron enables developers to build desktop applications that can run on Windows, Mac, and Linux, as well as Android and iOS devices.
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The driver of a car traveling at 30.2 m/s applies the brakes and undergoes a constant deceleration of 1.4 m/s 2 . How many revolutions does each tire make before the car comes to a stop, assuming that the car does not skid and that the tires have radii of 0.37 m
The driver of a car traveling at 30.2 m/s applies the brakes and undergoes a constant deceleration of 1.4 m/s 2 . The car makes 139 revolutions.
A change in velocity that does not alter over time is referred to as a constant acceleration. A car's average acceleration stays constant at 20 mph per minute even if it increases its speed by 20 mph in one minute and another 20 mph the next.
Acceleration in the direction crosswise to the direction of the velocity is always referred to as deceleration. Deceleration always slows down motion. However, negative acceleration is just acceleration in the opposite direction according to the selected coordinate system.
Given:
v₀ = 30 m/s
v = 0 m/s
a = -1.4 m/s²
Find: Δx
v² = v₀² + 2aΔx
(0 m/s)
² = (30 m/s)
² + 2 (-1.4 m/s²) Δx
Δx = 321.43 m
The tires' circumference is 2 m plus 0.37 m, or 2.32 m. Therefore:
139 rev = 321.43 m (1 rev / 2.32 m)
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a force applied to a 3kg mass over a distance of 7.5m, increase the velocity of the mass from 5m/s. calculate the magnitude of the force assume the force and the displacement of the mass are parallel
The magnitude of the force assuming the force and the displacement of the mass is parallel is 10 N.
What is force?An agent with the ability to change a body's resting or moving condition is known as an external force. It has a magnitude and a direction. The place where force is applied is called the application, and the direction in which it is applied is called the direction of the force.
The Force can be computed using a spring balance. The SI unit of force is Newton (N).
What is the displacement with an example in physics?Displacement is the change in the location of an object independent of the direction it is traveling. Displacement is a vector quantity since it takes into consideration both the magnitude and the direction of an object's motion. As a vector quantity, displacement can have a positive, negative, or zero value.
Given:
m = 3kg
distance = 7.5m
Velocity = 5m/s
Now, we can calculate the time
Velocity = displacement/time
Time t = 7.5/5
Time t = 1.5s
F = ma
[tex]F = 3*\frac{v}{t}[/tex]
[tex]F = 3*\frac{5}{1.5}[/tex]
F = 3×3.33
F = 9.99
F = 10N
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find the rise in temperature when given: 1.original length(2.0m),2.linear expansivity(25),3.increase in length(3.0mm)
According to the answer the rise in temperature is 0.12K..
What is temperature?Temperature is a measure of the average kinetic energy of particles within a substance. It is measured in degrees on a wide range of scales such as Celsius, Fahrenheit, and Kelvin. Temperature is an important indicator of a material’s state and behaviour, as it influences the rate of chemical reactions and the physical properties of materials. Temperature also affects the flow of heat and the direction of heat transfer. For example, heat flows from hot to cold, and cold air will sink while warm air will rise. Temperature is also used to measure the average kinetic energy of molecules in a gas, which ultimately determines its pressure and volume. Temperature is an important environmental variable, as it affects the Earth’s climate and weather.
The rise in temperature can be found using the formula for linear expansivity, which states that the change in length is equal to the linear expansivity multiplied by the change in temperature.
Change in length(ΔL) = Linear expansivity(α) × Change in temperature (ΔT)
Therefore,
3.0mm = 25 × ΔT
ΔT = 3.0mm/25
ΔT = 0.12K
Therefore, the rise in temperature is 0.12K.
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Why is countercurrent considered more effective?
The gills of fish have a structure known as "countercurrent oxygen exchange" that increases the quantity of oxygen that can be taken up by the blood.
They accomplish this by increasing the amount of time that their blood is in contact with water that has more oxygen while the blood absorbs more oxygen.
The ability to extract a greater amount of the heating fluid's heat is one of the major benefits of counter-current flow. It is significant to notice that at the same terminal temperature, the LMTD value for counter-current flow is significantly higher than for concurrent flow. The streams enter the heat exchanger at the opposing ends in the countercurrent mode.
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What happens to matter when thermal energy is added to a substance at its melting and boiling point?
Endothermic processes occur when heat is applied to a substance, as in melting, evaporation, and sublimation. Heat increases the speed of the molecules in this case, forcing them to travel quicker.
Thermal energy is the energy contained inside a system that controls its temperature. The passage of thermal energy is defined as heat. Thermodynamics is a discipline of physics that deals with how heat is transmitted between various systems and how work is done in the process (see the first law of thermodynamics).
Thermal energy transmission is classified into three types: conduction, radiation, and convection. Convection is a cyclical process that happens exclusively in liquids.
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Two arrows are fired simultaneously with the same speed of 30.0 m/s. Each arrow has a mass of 0.100 kg. One is fired due east and the other due south. What is the magnitude of the total momentum of this two-arrow system
The magnitude of the total momentum of the two-arrow system can be calculated by adding the magnitudes of the individual momenta of each arrow is 4.242.
Calculation=
total momentum = sqrt ( m1u1^2 + m2 u2 ^2)
m1 u2 = 30 * 0.1 = 3
total momentum = sqrt ( 9 + 9 ) = 3 sqrt (2) = 4.242
What is the projectile's acceleration at the pinnacle of its trajectory?As a result, from the moment the projectile is hurled, through its greatest point, and until it touches the earth, its acceleration is 9.81 meters per second per second, or equal to the acceleration caused by gravity.
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Which graph shows the change in velocity of an object in free fall?
Answer: B
Explanation:
Free fall -> constant acceleration of g = 9.81ms-1
Constant acceleration -> velocity increases at a constant rate (increases proportionally with time)
Math behind it:
* Velocity is the integration of acceleration, likewise acceleration is the differentiation of velocity. Integrating a constant value gives linearly increasing function in terms of x. (integrating with respect to x)
Hence, graph B shows the trend that velocity increases at a constant rate.
Graph A - Velocity decreases linearly
Graph C - Also decreases nonlinearly
Graph D - Not possible scenario. Velocity approaches infinity.
The earth completes a circular orbit around the sun in one year. The orbit has a radius of 93,000,000 miles. What is the speed of the earth around the sun in m/s?
Report your result using scientific notation and the correct significant figures.
—x10–m/s
In a year, the earth revolves around the sun once in a circular motion. Therefore, the earth will orbit the sun at a 2.95 m/s speed.
Planets in our solar system did not appear out of thin air. Neither did the sun. They were all a part of a large cloud of gas and dust. Gravity accumulated a lot of material in the center to form the sun. As it spun around the forming sun, the extra matter clashed and gathered together. Some would be capable of attracting more gas and dust, eventually forming planets, because to their powerful gravitational forces.
The answer to the query is
v = 2πR / T
2R equals 6.28 * 9.3 * 107 miles.
T = 24 * 3600 * 365 = 3.15 × 10⁷ sec
v = 9.3 / 3.15 = 2.95 m/s.
Hence, the earth's speed of the earth around the sun will be 2.95 m/s.
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What is the lever arm between F and the pivot point?
A revolving bar that pivots on a fixed point serves as the lever arm between F and the pivot point.
The pivot is the elbow, while the forearm acts as the lever arm. The biceps muscle exerts the effort and bends the forearm in spite of the forearm's weight and whatever additional weight the hand may be carrying. The weight is farther away from the pivot than the effort.
The lever is a rotating bar that pivots on a fulcrum affixed to a fixed point. By applying forces at different angles in reference to the pivot or fulcrum, the lever generates motion. When the lever spins around the fulcrum, points farthest from it move faster than ones nearer to it.
The lever is a rotating bar that pivots on a fulcrum affixed to a fixed point. By applying forces at different angles in reference to the pivot or fulcrum, the lever arm generates motion. When the lever spins around the fulcrum, points farthest from it move faster than ones nearer to it.
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What is the difference between dynamic and active stretching?
Stretching that is passive, such as static stretching, is contrasted with active stretching, such as dynamic stretching. It entails motion, putting the muscles and joints through their full range of motion.
Are dynamic active stretches the same?Active stretching – what is it? Active stretching is the process of relaxing and stretching opposing muscles without the use of external pressures, as opposed to dynamic stretching or ballistic stretching. Stretching that is active is not passive.
What are a few instances of stretching actively?In general, an active stretch doesn't require the use of an external force. An illustration would be a side-leaning stretch with the arms overhead. It is not necessary to pull, push, hold, brace, or hold the stretch. Active stretching is a common practice in yoga, as you'll discover.
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Can you help me please for exercise 2.
In the film Alone on Mars, Mark Watney faints in the rocket responsible for bringing him back to the ship
major. His colleague comments: “He has just taken 13 g, give him two minutes”. Before
going on an expedition, astronauts are prepared to undergo strong accelerations, commonly
quantified in g. On Earth, when a rocket "goes up to 1 g", it means that its speed increases by 10
meters per second, in one second.
The positions successively occupied by Mark have been represented. The duration separating
each position is equal to 0.50 seconds.
+M.
1) Calculate the values of the speeds vo
and go.
2) Prove that the variation of the
speed between times t. and t4 is:
AV = VA - VO = 260 m.s-1
3) What is the time interval At
separating position to and tA?
4) The acceleration 'a' is given by the
formula a = :
If, calculate the acceleration of
Mark between the M. and MA positions
Compare this acceleration with the
g-value. The sentence "He has just
take 13 g»>, it seems to you
correct?
Exercise 3: movement of the Moon (5
pt)
The Moon, the only natural satellite of the
Earth, is in orbit around it
for billions of years. Four
times smaller than the Earth, it puts.
The velocity, time and acceleration motion of Mark Watney rocket as he moves from M₀ to M₄ is described as follows;
1) v₀ = initial velocity = u
v₄ = u + 260 m/s
2) Δv = u + 260 m/s - u = 260 m/s
3) Δt = 2 seconds
4) Mark's acceleration is 13·g
What is motion under acceleration?Acceleration is the rate of change of velocity. Motion under a constant acceleration is one in which the velocity of the object changes as time changes.
The scale of the graph is 5 units = 46 meters
The distance between M₀ and M₄ = 25.5 units
1 unit = 46/5 meters/unit
25.5 units = (46/5) m/unit × 25.5 units = 234.6 meters
The time between M₀ and M₄ = 0.5 s × 4 = 2 s
= 25.5 unit × 0.5 s/unit = 12.75 s
The speed at M₄, v₄ =
The location of M₀ = 0
The location of M₄ =
The values of the speeds are;
The distance be
1) The time at M₀, t₀ = 0
The time at t₄ = 2 s
The speed, v = u + a·t
Where;
u = The initial velocity of the rocket
a = The acceleration = 13·g = 13 × 10 m/s² = 130 m/s²
The speed at v₀ = u + 130 m/s² × 0 s = u
The speed at v₄ = u + 130 m/s² × 2 s = 260 m/s2) The variation of the speed between v₄ and v₀, Δv, is found as follows;
Δv = v₄ - v₀
Therefore;
Δv = 260 m/s - 0 m/s = 260 m/s3) The number of change in position from M₀ to M₄ is found as follows;
M₀ to M₁M₁ to M₂M₂ to M₃M₃ to M₄The number of 0.5 seconds between M₀ and M₄ = 4
The time difference between t₀ and t₄ is therefore;
Δt = t₄ - t₀ = 2 seconds4) The formula for the acceleration is; [tex]a = \dfrac{\Delta v}{\Delta t}[/tex]
Therefore, the acceleration between positions M₀ and M₄ is found as follows;
The speed at M₀ = u
Speed at M₄ = u + 260 m/s
t₄ - t₀ = 2 seconds
[tex]a = \dfrac{u+260 \, m/s - u}{2\, s} = 130\, m/s^2[/tex]
The value of the acceleration due to gravity, g ≈ 10 m/s²
Therefore, a = 13·g
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A 120 Kg man is diving off a 40 meter cliff. What is his kinetic energy when he is 10 meters from the water?
The required kinetic energy of man diving out at 10 m from water is calculated to be 35.3 kJ.
Given that,
Mass of the man m = 120 kg
Height of the cliff H = 40 m
Distance from the water surface h' = 10 m
The mathematical equation of velocity efflux is
v = √( 2g ( H - h') = √( 2 × 9.8(40-10) = 24.25 m/s
The expression for kinetic energy of the man = 1/2 m v²
K.E = 1/2 m v² = 1/2 × 120 × 24.25² = 35283.75 J = 35.3 kJ
Thus, we can conclude that the kinetic energy of man diving out at 10 m from water is 35.3 kJ.
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What are the main mechanisms that affect the gene pool?
Answer: Natural selection, Genetic drift , Mutations and Gene flow
Explanation:
How far do you have to move the moon so the force of gravity on it doubles?
The gravitational attraction between two objects grows in strength with each object's mass. The gravitational force between two objects doubles when one of the objects' masses doubles.
Is gravity 9.8 meters?The acceleration that gravity imparts to objects falling freely is used to quantify gravity. At the surface of the Earth, gravity accelerates at a rate of around 9.8 meters (32 feet) per second. As a result, an object in free fall accelerates by 9.8 meters per second for every second that it is falling.
Is the gravitational field constantly 9.8 N kg strong?The gravitational field strength of the Earth is 9.8 N/kg. Accordingly, an item will feel 9.8 N of force for every kg of mass. That weight of a thing is lower if the gravitational field is weaker. The Moon, for instance, has a gravitational field that is 1.6 N/kg strong.
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What is Dynamics flexibility?
The capacity to move joints and muscles throughout their complete range of motion while engaging in active activity is known as dynamic flexibility.
What is meant by dynamic flexibility?The absolute range of motion that a person can acquire through movement is referred to as dynamic flexibility. In other words, the greatest range of motion is the maximum distance that may be reached, bent, or turned. The terms "dynamic flexibility" and "ballistic flexibility" are interchangeable.
Static stretches are those in which you remain in a single position—standing, sitting, or lying still—for up to 45 seconds. Dynamic stretches are regulated motions that get your ligaments, muscles, and other soft tissues ready for action and safety.
Before a workout or any sort of exercise, dynamic stretching is an excellent approach to improve flexibility and engage key muscles.
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Which statement describes the electrostatic force between two charged objects?
A It is greater when two objects are farther apart.
B It is greater if two objects have the same charge.
C It is greater when the charges of the objects are greater.
D It is zero if the charges of the objects repel one another.
The electrostatic force connecting two electrostatic force is expressed by the statement that it is stronger when the voltages of the items are greater.
Electrostatics: What is it?The study of energies between charged, as outlined by Coulomb's Law, is known as electrostatics. We introduce the idea of a magnetic charge encircling charges. The electric current near a line and a plane are examples that we go through as we create detailed definition for both "electric potential" and "voltage."
What is an example of electrostatics?Examples involving electrostatic forces are: With the aid of a comb, we can create electrostatic force when i pass a piece of paper through to the oil in my heads. When one balloon is brushed with hair, the other balloon becomes drawn to it.
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Describe the properties of waves and explain how they can be measured.
Why is a sound wave considered a mechanical wave?
The properties of waves are: wavelength, time period.
Sound wave is considered a mechanical wave because it requires medium to travel.
What is mechanical wave?A mechanical wave is one whose energy cannot be transmitted via a vacuum. To transfer their energy from one place to another, mechanical waves need a medium.
A mechanical wave is something like a sound wave. A vacuum can not be traversed by sound waves.
Units of time and space can be used to measure the fundamental characteristics of waves. The length between wave crests, or wavelength (L), and the time it takes a wave to pass a fixed point, or period (T), are two characteristics that can be measured directly.
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The tape in a videotape cassette has a total length 196 m and can play for 2 h. As the tape starts to play, the full reel has an outer radius of 48 mm and an inner radius of 14 mm. At some point during the play, both reels will have the same angular speed. What is this common angular speed
Both reels will rotate at the same pace at some time throughout the game. This usual angle of rotation is 0.763 rad/s.
Given data:
The total length of the videotape cassette is, L = 196 m.
The time interval for the play is, t=2h=2×3600=7200s
The outer radius of the tape is, r₀ = 48mm
The inner radius of the tape is, r[tex]_{i}[/tex] = 14mm
The rotating motion of the videotape is indicated by the value of the angular velocity, which is as follows:
[tex]\omega=\frac{v}{r}[/tex].............................................................................(1)
Here, v denotes the cassette's linear speed, while r denotes the cassette's effective radius.
r=[tex]\sqrt{ \frac{r_{o}^{2} + r_{i}^{2} }{2} }[/tex]
r= [tex]\sqrt{ \frac{48^{2} + 14^{2} }{2} }[/tex]
r=35.35 mm
r ≅ 0.03535 m
And the cassette's linear speed is specified as,
[tex]v=\frac{L}{t}[/tex]
[tex]v[/tex] = 196/7200
[tex]v[/tex] = 0.027 m/s
Substitute the values in equation (1) as
[tex]\omega[/tex] = 0.027/0.03535
[tex]\omega[/tex] = 0.763 rad/s
As a result, we can infer that at some point throughout the game, both reels will be spinning at the same speed of 0.763 rad/s.
The angle of rotation in mathematics is a measurement of how much, specifically by what angle, a figure is rotated about a fixed point, frequently the center of a circle. Since an anticlockwise revolution of 310 degrees is equivalent to a full turn of 360 degrees because 310 degrees plus 50 degrees equals 360 degrees, an anticlockwise rotation of 310 degrees is also referred to as a rotation of -50 degrees.
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how much electrical energy is converted to light and thermal energy by a 160 w light bulb in one day
13824 x 10^3 J electrical energy is converted to light and thermal energy by a 160 w light bulb in one day
What is the best way to define thermal energy?Thermal energy is the movement of the molecules within an object or substance. Every material has heat energy; the sun is the primary thermal energy source in our solar system. The transfer of thermal energy through one material or item to another is known as heat.
Given,
Power = P = 160 W
time = t = 1 day = 24 hours = 24 x 3600 sec = 86400 sec
energy = power x time = 160 x 86400 = 13824 x 10^3 J
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