The range of the bullet is 1,125 m.
What is the range of bullet?The range of the bullet is the maximum horizontal distance travelled by a projectile and it can be calculated by applying the following formula.
R = ( u² sin ( 2θ ) / g
where;
u is the initial velocity of the bullet = 150 m/sθ is the angle of projection of the bullet = 15°g is the acceleration due to gravity = 10 m/s²The range of the bullet is calculated as follows;
R = ( u² sin ( 2θ ) / g
R = ( 150² sin ( 2 x 15 ) / 10
R = 1,125 m
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a child throws a baseball directly upward. what are the signs of the velocity and acceleration of the ball immediately after the ball leaves the child's hand?
The sign of the velocity of the ball immediately after it leaves the child's hand is positive because it is moving upwards, away from the ground. At this moment, the ball's velocity is increasing as it continues to move upwards, so the sign of its acceleration is also positive.
The acceleration of the ball at this moment is the acceleration due to gravity, which is a constant downward acceleration of approximately 9.8 m/s². Therefore, the sign of the acceleration of the ball immediately after it leaves the child's hand is positive. Velocity is a vector quantity that describes the rate of change of an object's position. It is calculated as the displacement of an object divided by the time taken for that displacement to occur, and it has units of length per unit time (e.g., meters per second). Velocity has both magnitude and direction, and it is used to describe the motion of objects in physics and engineering.
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a conducting sphere of radius 0.5 m has charge per area 3 mc/m2 distributed uniformly on its surface. there is no unbalanced charge on the sphere except on the surface. what is the total charge on the sphere?
The total charge on the sphere is determined by multiplying the charge per area by the surface area of the sphere.
The surface area of a sphere with a radius of 0.5m is 4πr², so the total charge on the sphere is 4π * 0.5² * 3mc/m², or 6mc.
In addition to the total charge, the electric field around a sphere with a uniform charge distribution can be calculated using Gauss's Law. Specifically, the electric field at a distance r from the center of the sphere is given by the equation E = σ/2εo, where εo is the permittivity of free space.
This equation states that the electric field is proportional to the charge per area and inversely proportional to the distance from the center of the sphere.
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Question 4 of 25
While doing a controlled experiment, two groups must be set up. What are
these groups called?
OA. Evidential and control
OB. Comparing and non-control
C. Experimental and control
OD. Experimental and aligned
SUBMIT
Experimental and control group must be set up while doing a controlled experiment.
What is experiment?Experimental physics is a category of physics disciplines and sub-disciplines concerned with the observation of physical events and experiments. A controlled test or process used to assess the validity of a hypothesis or create a discovery. A scientific experiment is any method that uses measurements and tests to confirm or deny a theory. A hypothesis is a notion that looks to be true but has yet to be confirmed, from which a study might be created.
Here,
When conducting a controlled experiment, an experimental and control group must be established.
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an auto moves 10 meters in the first second of travel, 10 more meters in the next second, and 10 meters during the third second. the acceleration of the auto in m/s2 is
When driving, a car travels 30 feet in the first second, 10 more in the second, and 10 miles in the third second, which is zero.
What occurs if acceleration is zero?The item will move at a constant speed when there's no acceleration. We may examine Newton ’s law and the acceleration formula mathematically. We are aware that there is no force. The speed must be zero because we are aware that the mass could be zero.
Constant acceleration equals 1, right?A change in velocity which does not alter over time is referred to as a constant acceleration. The average acceleration of an automobile remains constant even if it picks up 20 mph in one minute and then another 20 mph in the next.
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two common primary structures of proteins are alpha helices and beta sheets.True or False?
It is the true statement. Two standard primary structures of proteins are alpha helices and beta sheets. Proteins are long chains of amino acids that fold into specific shapes, which are determined by their primary structure.
What does the primary structure of protiens determine?The primary structure of a protein determines its overall shape and function. Alpha helices and beta sheets are two of the most common secondary structures that are formed from the linear sequence of amino acids in the primary structure.
What are alpha helices?Alpha helices are coiled structures that resemble a spiral staircase, while beta sheets are flat structures that form a pleated sheet. These structures provide stability and rigidity to the protein.
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which pair of diagrams represents the best orientation for the x axis to analyze the emitted waves and the reflected waves separately?
The difference in frequency between the waves that are emitted directly and the waves that are reflected by the paused fish moving straight towards the ship with a speed of 4.95 m/s is 73.45 Hz.
Sound waves will propagate in a straight line until they hit an obstacle, such as the seabed. When the sound waves hit an obstacle, some of the waves will be reflected in the ship as echoes. The time it takes for a sound wave to travel down to the bottom and back up is carefully measured.
The original frequency of sonar, f = 22 kHz = 22000 Hz
The speed of sound in water, V = 1482 m/s
The speed of the whale towards the ship, Vw =4.95m/s
The apparent frequency reflects his back,
f' = f ( V+Vw)/V
f' = 22000(1482+4.95)/1482
f' = 22073.5 Hz.
So, the change in frequency is
f'-f = 22073.5-22000
f'-f = 73.45 Hz.
So, the change in frequency is 73.45 Hz
Your question is incomplete but most probably your full question was:
The sound source of a ship’s sonar system operates at a frequency of 22.0 kHz. The speed of sound in water (assumed to be at a uniform 20°C) is 1482 m/s. What is the difference in frequency between the directly radiated waves and the waves reflected from a whale traveling straight toward the ship at 4.95 m/s? Assume that the ship is at rest in the water.
Which pair of diagrams represent the best orientation for the x-axis to analyze the emitted waves and the reflected waves separately?
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suppose you were standing at the north pole. as earth rotates over a full day at this position, what would you notice about daylight and darkness?
At the polar regions such as North Pole and South Pole, you would observe that during the summer months, you would experience 24 hours of daylight and no darkness, while during the winter months, you would experience 24 hours of darkness and no daylight.
As the Earth rotates on its axis, it causes the sun to rise and set at different times in different parts of the world. At the North Pole, which is located at 90 degrees north latitude, the sun remains visible above the horizon for six months of the year and below the horizon for the other six months.
During the summer months, the sun remains above the horizon and never sets, creating 24 hours of continuous daylight. Conversely, during the winter months, the sun remains below the horizon and never rises, resulting in 24 hours of continuous darkness. The periods of daylight and darkness at the North Pole are known as the "midnight sun" and "polar night."
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if the universe is expanding at the speed of light will we ever be able to see anything beyond what we currently see?
Nothing can move at speeds more than 300,000 km/s. Only massless particles, like the photons that make up light, are able to move that quickly. because it would need an endless quantity of energy to do so.
Further than the speed of light, what else is there?Thus, somewhat strangely, de Rham claims that the only thing that can travel beyond the speed or light is light itself, but only when it is not in the space vacuum. It is interesting to note that light will never travel faster than 186,282 miles per second regardless of the medium.
What exists beyond the cosmos?By definition, nothing exists outside the universe if it is infinite. The idea of a finite expanding cosmos suggests that there would be a limit or edge dividing it from something further away.
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a capacitor is made by taking two sheets of aluminum foil, each 0.022 mm thick and placing between them a sheet of paper which comes from a ream of 500 sheets, the ream being 5.5 cm thick with sheets measuring 216 mm by 279 mm (the usual 81/2 by 11). what is the capacitance of the capacitor made this way if the dielectric constant of the paper is 3.7? (e0
So, if the dielectric constant of the paper is 3.7, the capacitance of the capacitor is 3.03 nano-farads.
What is capacitor?A capacitor is a device that stores electrical energy in an electric field by collecting electric charges on two isolated surfaces. It is a two-terminal passive electrical component. Capacitance is the effect of a capacitor.
Here,
The capacitance of a parallel plate capacitor can be calculated using the formula:
C = ε0 * εr * A / d
Where:
ε0 = 8.854 x 10⁻¹² (permittivity of free space)
εr = 3.7 (relative permittivity of paper)
A = (216 x 10⁻³ m) x (279 x 10⁻³ m) = 0.0608 m² (surface area of one plate)
d = 0.022 x 10⁻³ m (distance between the plates)
Substituting the values, we get:
C = 8.854 x 10⁻¹² x 3.7 x 0.0608 / 0.022 x 10⁻³
C = 3.03 x 10⁻ ⁹F(Farads)
So, the capacitance of the capacitor is 3.03 nano-farads if the dielectric constant of the paper is 3.7.
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Select True or False for the following statements about electric field lines.
(a) Electric field lines do not begin or end in a charge free region except at infinity.
(b) Electric field lines may cross.
(c) Electric field lines make circles around positive charge.
(d) Electric field lines point outwards from positive charge.
(e) Electric field lines point inwards towards negative charge.
(f) Where the electric field lines are dense the electric field must be weak.
(g) A positive point charge released from rest will initially accelerate.
1) A things along the way charge will initially accelerate down an E-field line when it is released from rest: TRUE.
When the force of the electrostatic potential that generates the field is applied to the electric field lines, they all point in the exact direction that will produce a positive test charge.
2) E-Field lines encircle positive charges in circles: FALSE.
With the exception of infinity, E-Field lines begin with positive charges and end with negative charges.
3) E-field lines are oriented inward and toward electrostatic repulsion: TRUE
Negative charges attract positive charges, therefore the positive test charging will move in the direction of the negative charges as the E-field lines move along trajectory that would include a positive drug test charge.
4) E-Field vector may intersect: FALSE
If they crossed, it would imply that the electric potential may be developing variably at the exact spot, which is not conceivable because the E-Field seems to be the gradient of both the electrostatic attraction (thus they have always had the direction of the highest change of potential).
5) Positive charges have E-Field lines pointing outward: TRUE
According to the previous explanation, the E-field traces follow the path that a positive test charges would take if it were to produce the field. As a result, if a positive charge creates the field, the analysis suggests would move away from it, and the field lines would then point outward.
6) The E-field must really be weak when the E-field margins are dense: FALSE
According to tradition, the density of the E-field lines indicates the strength of the field as the E-field arcs are inversely correlated with the charge that generates the field.
7) Except at infinity, E-field fibers do not start or finish in a zone that is free of charges. TRUE.
E-field lines can begin in a location that is devoid of charges since they start at positively charged ions and end at negative charges, with the exception of infinity.
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the magnitude of a vector can be different in different coordinate systems.T/F
A vector cannot have a distinct direction in one coordinate system from another. Even if a vector's magnitude is not zero, it can still have a component value of zero.
If so, what sets them apart from one another?The coordinates of the start and end points of a vector are the same (0, 0). The eigenvector for A is what is known as this vector. The position vector of each point in the reference frame can be used to represent that point. A point's position vector and coordinates are same.
What does the vector coordinate system mean?A coordinate vector, or tuple, is a description of a vector used in linear algebra that characterizes the matrix in terms of a specific ordered basis. A simple example would be a position in a three-dimensional Cartesian system with the axes as the basis, such as (5, 2, 1).
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incident solar radiation is the definition of group of answer choices insolation. solar constant. interference. inception.
The radiating solar energy that strikes the earth's surface incidentally is known as "global radiation" on a surface (W m2).
What brings about isolation?The term "insolation" refers exclusively to radiation that enters the earth's atmosphere before reaching the surface. The heat is produced by sun energy, which is also known as solar radiation. The solar energy that reaches the surface of the earth is known as insolation.
What transpires with isolation?Energy Conversion: Evaporation of water or sublimation of ice can convert solar radiation into latent heat, which is a form of stored potential energy. III. Terrestrial Radiation - Insolation is eventually reradiated to the atmosphere either into space after being received by the Earth's surface.
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what is a if the radius is doubled without changing the particle's speed?express your answer with the appropriate units.
The value of a if the radius is doubled without changing the particle's speed is 56m/s².
How to calculate the accelerationAcceleration that is perpendicular to the object's velocity and directed toward the center of a curved route is known as centripetal acceleration. causes an object to move in a circular pathway while changing its direction but not its speed.
Likewise known as radial acceleration
We have that the equation for centripetal acceleration a = (mv^2)/r. If we double the radius r, then a will decrease by a factor of 2, so a = 7 m/s^2. If we double the speed v, then a will increase by a factor of 4, so a = 56 m/s^2.
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A particle rotates in a circle with centripetal acceleration a = 14 m/s^2 .
A particle rotates in a circle with centripetal acceleration a = 14 m/s^2 .
What is a if the radius is doubled without changing the particle's speed
the acceleration due to gravity on the moon is 1.62 m/s2, approximately a sixth of the value on earth. for a given initial velocity v0, and a given launch angle θ0, the ratio of the range of an ideal projectile on the moon to the range of the same projectile on earth, rmoon/rearth, will be approximately?
Answer:
approximately 1/6
Explanation:
The range of an ideal projectile depends on the initial velocity, the launch angle, and the acceleration due to gravity. The formula for the range of an ideal projectile is given by:
R = (v0^2 sin(2θ0)) / g
Where v0 is the initial velocity, θ0 is the launch angle, and g is the acceleration due to gravity.
For the moon, the acceleration due to gravity is 1.62 m/s^2, and for the earth, it is 9.8 m/s^2. The ratio of the ranges on the moon to the range on the earth can be expressed as:
rmoon/rearth = (1.62 * sin(2θ0)) / (9.8 * sin(2θ0)) = 1.62 / 9.8 = approximately 1/6
So, the range of an ideal projectile on the moon is approximately a sixth of the range of the same projectile on earth.
which quantity, the electric field strength or the electric potential, decreases faster with increasing distance? why?
E (electric field strength) varies as the inverse of distance squared, whereas potential only varies as the inverse of the distance. E = kQ/ r² and V = kQ/r .
As a result, the field strength decreases faster with increasing distance.
Yes, Electric potential may be zero at a point even when the electric field strength is not zero at that point. The case of the electric dipole will help us understand this concept. At the midpoint of the charges of the electric dipole, the electric field due to the charges is non-zero, but the electric potential is zero.
An electric field is a property associated with each point in space when the charge is present in any form. The magnitude and direction of the electric field are expressed by the value of E, which is also known as electric field strength, electric field intensity, or simply the electric field. Knowing the value of an electric field at a specific point is all that is required to predict what will happen to electric charges near that point.
Instead of viewing the electric force as a direct interaction between two electric charges separated by space, one charge is considered the source of an electric field that extends outward into the surrounding space.
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on average, how long does it take particles in the solar wind to reach earth from the sun if they are traveling at 300 km/s?
In the solar wind to reach earth from the sun if they are traveling at 300 km/s. It will take approximately 5.78 days or 500,000 seconds for solar particles to reach earth.
The average distance between the Sun and Earth is approximately 93 million miles (150 million kilometers).
To convert this distance to time, we can use the velocity of the particles (300 km/s):
Time = Distance / Velocity
= (149.6 million km) / (300 km/s)
= 500,000 seconds
Solar wind particles are a stream of charged particles, primarily protons and electrons, that flow continuously from the sun into the solar system. These particles are created by the sun's high temperatures and are expelled from its corona, a layer of plasma surrounding the sun's visible surface. The solar wind travels at speeds ranging from 300-800 km/s and carries magnetic fields with it.
The solar wind interacts with other objects in the solar system, such as planets and comets, and can cause auroras, affect satellite communications, and influence the formation of planetary magnetic fields. The solar wind also plays a role in shaping the heliosphere, the region of space that is dominated by the sun's magnetic field and extends beyond the orbit of Neptune. The study of solar wind particles is important for understanding the sun's behavior and the effects it has on the rest of the solar system.
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if the cart's mass is 3.2 kg , the applied force is 12.8 n , and the friction force is 7.0 n , find the cart's acceleration. express your answer to two significant figures and include the appropriate units.
The cart's acceleration can be calculated using the equation a = (Fnet)/m, where Fnet is the net force acting on the cart and m is the mass of the cart.
In this case, F_net = 12.8 N - 7.0 N = 5.8 N, and m = 3.2 kg. Plugging these values into the equation yields a = 5.8 N / 3.2 kg = 1.81 m/s^2. Rounding to two significant figures gives a = 1.8 m/s^2.
The acceleration of an object can also be affected by friction. Friction is a force that opposes the motion of an object and is proportional to the normal force (the force perpendicular to the surface the object is moving on).
This means that the larger the normal force, the larger the friction force. If the friction force is large enough, it can reduce or even cancel out the net force, resulting in a lower acceleration or even no acceleration at all.
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ich of the following materials would you choose for optimal performance in the charge storage layer of a capacitor? which of the following materials would you choose for optimal performance in the charge storage layer of a capacitor? material a: high dielectric constant low electrical resistivity material b: low dielectric constant high electrical resistivity material c: low dielectric constant low electrical resistivity material d: high dielectric constant high electrical resistivity question at position 2 2 3 points
"Material A: high dielectric constant low electrical resistivity is best for optimal performance."
A capacitor is a device used to store electrical energy and it consists of two conductive plates separated by a dielectric material. The choice of material for the charge storage layer is important for determining the performance of the capacitor. The dielectric constant is a measure of a material's ability to store electrical energy and the electrical resistivity is a measure of a material's ability to conduct electrical current. For optimal performance in the charge storage layer of a capacitor, material A is the best choice as it has a high dielectric constant and low electrical resistivity. This means that the material has a high ability to store electrical energy and a low resistance to electrical current, making it ideal for use in a capacitor. Material B would not be an optimal choice for a charge storage layer as it has a low dielectric constant and high electrical resistivity, meaning that it is not an efficient material for storing electrical energy and has high resistance to electrical current.
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the sink–float method is often used to identify the type of glass material found at crime scenes by determining its density. several different types of glass of known density are placed into solutions of varying densities. determine whether each glass piece will sink, float, or do neither when immersed in the given solution.
The different type of glass of known density placed in various liquid will sink, float or neither sink or float all depend on the difference in the density of glass and water.
What will have a glass of different density placed in different density of solution?The glass will sink:
a solution of alkali zinc borosilicate with a density of 2.46 g/mL and a density of 2.57 g/mL.
3.05 g/mL of potash soda lead is present in a solution with a density of 1.65 g/mL.
In a solution with a density of 2.16 g/mL, there is potash borosilicate with a same density of2.16 g/mL.
The glass will float:
Alkali strontium in a solution with a density of 2.34 g/mL and a density of 2.26 g/mL.
The glass will neither sink or float:
In a solution with a density of 2.62 g/mL, soda borosilicate has a density of 2.27 g/mL.
What causes an object to sink or float?The subject will sink if the force acting of the weight is larger than an upwards force of the water on it. The thing will rise if the converse is true because rising is the contrary of sinking.
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The sink–float method is often used to identify the type of glass material found at crime scenes by determining its density. several different types of glass of known density are placed into solutions of varying densities. determine whether each glass piece will sink, float, or do neither when immersed in the given solution.
1) alkali zinc borosilicate with a density of 2.57 g/mL in a solution with a density of 2.46 g/mL.
2) soda borosilicate with a density of 2.27 g/mL in a solution with a density of 2.62 g/mL.
3) alkali strontium with a density of 2.26 g/mL in a solution with a density of 2.34 g/mL.
4)potash borosilicate with a density of2.16 g/mL in a solution with a density of 2.16 g/mL.
5) potash soda lead with a density of 3.05 g/mL in a solution with a density of 1.65 g/mL.
question neglecting air friction effects, what path does the package travel as observed by the pilot?
what physical property denotes the color of a powdered mineral?
The term "streak" refers to a physical characteristic that describes a mineral's hue.
What factors into a mineral's powdered color?The streak of a mineral refers to the color of the material when it is in powdered form. A streak plate is an unglazed piece of porcelain that is used to locate a mineral's streak. The streak is the mark that was left here on streak plate.
What shade is the powder made of minerals?The term "streak" refers to a mineral's powder color. This phrase refers to the procedure used to inspect a mineral's powder known as the "streak test." To inspect the powder left behind, a sample of the stone is swiped across a "streak plate."
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a hair dryer operates at 120 volts. after operating for 5.2 minutes and drawing 3 amperes of current, how much energy (in kj) has it consumed ?
After operating for 5.2 minutes and drawing 3 amperes of current, the hair dryer consumed 112.32 kilojoules of energy.
You must determine the total quantity of charge that has traveled through the hair dryer in order to determine the amount of energy it uses. By dividing the current by the time, one may determine this.
I = 3 A for current
Time, T, is 5.2 minutes, or 5.2 seconds multiplied by 60. = 312 s
Charge: Q = I x T = 3 x 312 s, or 936 Coulombs.
Multiply the charge by the voltage to get the amount of energy used:
[tex]E = V \times Q, $or $120 V \times 936 C,\\ = 112320 J. (joules)[/tex]
Lastly, divide by 1000 to convert from joules to kilojoules:
E (in kJ) is equal to 112320 J/1000, or 112.32 kJ.
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a 27 pound meteorite struck a car, leaving a dent 23 cm deep in the trunk. if the meteorite struck the car with a speed of 460 m/s, what was the magnitude of its deceleration, assuming it to be constant?
The magnitude of the deceleration of the 27 pound meteorite when it struck the car can be calculated using the formula v²/2d, where v is the initial velocity (460 m/s) and d is the distance traveled (23 cm). This gives a deceleration value of 4.57 x 10⁻² m/s².
Deceleration is the process of decreasing the speed of an object or the rate of change in speed. It is the opposite of acceleration, which is defined as the rate of change in speed or the change in velocity. Deceleration can be caused by several factors, such as friction, air resistance, or a decrease in motor power. Deceleration can also occur naturally due to the laws of physics, as an object in motion will eventually slow down due to gravity and other natural forces. Deceleration is important in many applications, such as controlling the speed of a vehicle and ensuring safety on the roads.
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a position vector in the first quadrant has an x -component of 3 m and a magnitude of 5 m . part a what is the value of its y -component?
The y - component of the position vector is 4m.
According to the question,
The Pythagorean theorem may be used to determine the y-component of a position vector in the first quadrant
With an x-component = 3 m and a magnitude = 5 m.
According to the Pythagorean theorem, "a 2D vector's square magnitude equals the sum of the squares of each of its component parts"
⇒ magnitude² = x² + y²
Now,
By substituting the specified values, we obtain:
5² = 3² + y²
By finding y, we obtain:
y = √(5 + 3 + 2)
⇒ y = √(25 - 9 + 9)
⇒ y = √(16)
∴ y = 4 m
Therefore, the position vector's y-component is 4 m.
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a bicycle racer sprints at the end of a race to clinch a victory. the racer has an initial velocity of 11.5 m/s when he was 300 m away from the finish line. he accelerates at the rate of 0.500 m/s/s for 7.00 s; and then the racer continues at the final velocity to the finish line. (a) what is his final velocity?
As a result, the racer's final velocity is 13.00 m/s after accelerating at 0.500 m/s2 for 7.00 s.
What is velocity?Velocity is a vector representation of an object's or particle's displacement with respect to time. The meter per second (m/s) is the standard unit of velocity magnitude (also known as speed). Alternatively, velocity magnitude can be expressed in centimeters per second (cm/s). The direction of movement of the body or item is defined by velocity. Speed is fundamentally a scalar number. Velocity is, in essence, a vector quantity. It is the pace at which distance changes. It is the displacement rate of change.
Here,
The final velocity can be found using the equation of motion,
vf = vi + at,
where vf is the final velocity, vi is the initial velocity (11.5 m/s), a is the acceleration (0.500 m/s^2), and t is the time for which the acceleration was applied (7.00 s).
Substituting the values we get,
vf = 11.5 + 0.500 * 7.00 = 13.00 m/s.
So, the racer's final velocity is 13.00 m/s as he accelerates at the rate of 0.500 m/s2 for 7.00 s.
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explain the need to develop and use alternative energy sources
Alternative energy helps us to be able to preserve the environment.
Why do we need alternative energy?The majority of the world's energy supply currently comes from finite, non-renewable sources such as coal, oil, and natural gas. These resources are being depleted at an alarming rate, and it is expected that they will eventually run out.
Alternative energy sources, such as wind, solar, and hydropower, are clean and produce little or no greenhouse gas emissions. This helps to reduce air and water pollution, protect wildlife and natural habitats, and preserve the planet for future generations.
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which of the following statements is true in regard to matter supplying energy? multiple choice question. matter must be moving faster than the vibrating particles it contains. matter must be at rest (not moving). matter can be moving or at rest. matter must be in motion.
The correct option is "Matter can be moving or at rest."
The ability of matter to produce energy is unaffected by its state of motion or rest. Regardless of whether the matter is in motion or at rest, energy can be stored in it as thermal or potential energy. For instance, the height of a stationary object at the top of a cliff gives it potential energy, whereas a moving thing has kinetic energy. The kinetic energy of matter's particles, which can be transferred to other objects through thermal energy, is also closely correlated with temperature. Therefore, the matter has the ability to produce energy whether it's moving or not.
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if a force is applied when using a lever over 2 meters to move the object 1 meter, the distance over which the force is applied is called the blank . multiple choice question. resistance distance power distance effort distance work distance
Option C, When a force is applied to move an object by 1 meter using a lever of 2 meters or longer, the force is the effort distance over which the force is applied.
The effort is the work done by you. This is the amount of power used multiplied by the distance used. Dragging is work done on the object you are trying to move. The vertical distance from the pivot point to the force point is called the force arm.
Load Arm or Load Distance (LD): The vertical distance from the pivot point to the load point is called the load arm. The effort is the force applied to reposition (push or lift) a load to a desired position.
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suppose the paramecium in example 5.17 has a length of 50 μm rather than the 100 μm used in the example. all other values remain the same. if the paramecium suddenly stops swimming, how long will it take the paramecium to come to a stop?
If the paramecium suddenly stops swimming, it would take around [tex]1.06 \times 10^{-5}[/tex] seconds for it to come to a stop.
Does a Paramecium move more quickly or more slowly?The bacteria and yeast that the slipper-shaped ciliates known as Paramecium consume are often found in moist conditions. Paramecia's cilia beat in unison, allowing it to swiftly and gracefully float through water.
To calculate how long it will take the paramecium to stop moving, apply the formula below:
[tex]t = (6 \times \pi \times \mu \times r) / (2 \times m)[/tex]
where m is the mass of the paramecium, mu is the dynamic viscosity of the fluid, and r is the circumference of the paramecium. The radius would be 25 m in this case as the paramecium is 50 m long.
The following values are entered into the formula:
t =[tex]\frac{ (2 \times 3.2 \times 10^-13 kg)} { (6 \times \pi \times 0.00089 Pa \times s \times (25 \times 10^{-6} m))}[/tex]
[tex]t = 1.06 \times 10^{-5} s[/tex]
Therefore, if the paramecium abruptly stops swimming, it would take around [tex]1.06 \times 10^{-5}[/tex] seconds for it to come to a stop.
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the nearpoint of an eye is 151 cm. a corrective lens is to be used to allow this eye to clearly focus on objects 25 cm in front of it. what should be the focal length of this lens?
When a lens is focussed to infinity, its focal length can be calculated. The angle of view—or the amount of the image will be captured—and magnification are both determined by the lens focal length.
How long is my lens's focal length?The focal length of the lens, which is often expressed in millimeters, is the space between the lens as well as the image sensor whenever the subject is in focus .The maximum and minimum focal lengths of zoom lenses are specified, for instance, 18-55 mm.
How should I pick my focus length?The focal length that isolates the topic, or hero, in your image and keeps out all the distractions, or villains, is the optimal focal length. Select a long depth of field lens, such as one with a 70, 135 or 200mm aperture, to separate textures and far-off details to pace of innovation backgrounds.
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