To calculate the magnitude and duration of the deceleration, we need to know the initial velocity of the child and the stopping distance. The initial velocity of a freely falling object can be calculated using the equation:
v = sqrt(2gh), where g is the acceleration due to gravity (9.8 m/s^2), and h is the height.
In this case, h = 0.57 m, so the initial velocity can be calculated as follows:
v = sqrt(2 * 9.8 * 0.57)
v = 2.38 m/s
Now we have the initial velocity, we can calculate the magnitude and duration of the deceleration in both cases.
Case 1: Hardwood floor
The stopping distance can be calculated using the equation:
d = v^2 / (2a), where v is the initial velocity and a is the deceleration.
Setting the stopping distance equal to 2.1 mm and solving for a, we get:
a = v^2 / (2d)
a = (2.38 m/s)^2 / (2 * 0.0021 m)
a = 68 m/s^2
The duration of the deceleration can be calculated as follows:
t = v / a
t = 2.38 m/s / 68 m/s^2
t = 0.0349 s
Magnitude of the deceleration: 68 m/s^2
Duration of the deceleration: 0.0349 s
Case 2: Carpeted floor
The stopping distance can be calculated using the equation:
d = v^2 / (2a), where v is the initial velocity and a is the deceleration.
Setting the stopping distance equal to 1.4 cm and solving for a, we get:
a = v^2 / (2d)
a = (2.38 m/s)^2 / (2 * 0.014 m)
a = 12 m/s^2
The duration of the deceleration can be calculated as follows:
t = v / a
t = 2.38 m/s / 12 m/s^2
t = 0.198 s
Magnitude of the deceleration: 12 m/s^2
Duration of the deceleration: 0.198 s
The magnitude of the deceleration in the first case (hardwood floor) is much greater than in the second case (carpeted floor), indicating a higher risk of injury for the child in the first case. However, the duration of the deceleration is much shorter in the first case, which might result in a less severe injury. The duration of the deceleration is also much longer in the second case, indicating a lower risk of injury.
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which answer best describes what the surface of the earth would be like if you could travel back to the time when the earth first formed as a planet?
It will be very difficult to if you could travel back to the time when the Earth first formed as a planet.
When Earth first formed as a planet, the surface would be extremely hostile and inhospitable and life won't be possible. It was just molten volcanic land with no water or ocean.
Atmosphere and life were also not formed at that time. During the first period of time the temperature of Earth's atmosphere was extremely high and collisions were continuously happening between celestial bodies.
The heat produced in the atmosphere thus was in a state of molten volcanic state. Just magma and lava. High temperature prevented the formation of oceans and thus life also.
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) if a conductor is in electrostatic equilibrium near an electric charge 4) a) the force between the conductor and the charge must be zero. b) the electric field on the surface of the conductor is perpendicular to the surface. c) the total electric field of the conductor must be zero. d) the total charge on the conductor must be zero
Contrary to what we assumed, moving charges by definition indicate nonstatic situations. To put it another way, when electrostatic equilibrium is established, the charge is dispersed such that the electric field inside the conductor disappears.
Why does an electrical field in a conductor equal 0?Because in a good conductor, the charges always go and settle on the conductor's surface, leaving zero charge within and producing zero electric field, the strength of the electric field in a charged conductor is zero.
If an electrical charge is present near a conductor in electrostatic equilibrium, the charges within the conductor will rearrange, resulting in a zero net electric field inside the conductor.
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in a system of gas, if we double the temperature what happens to the energy of the particles?
The average kinetic energy of a gas's particles will double if its temperature is doubled. The average kinetic energy of a gas's particles is directly proportional to its temperature.
What is a energy in science?Energy is defined as the "capacity to accomplish work," which refers to the capability of exerting a force that makes an object move. Although the definition is ambiguous, the meaning is obvious: energy is simply that force that causes objects to move. The two types of energy are potential and kinetic energy. In physics, energy is the quantifiable characteristic that is transferred to a body or even a physical system. Energy is visible in the performance of labour and also in the form of heat and light. Energy is a resource that cannot be generated or destroyed; instead, it can only be converted from one form into another in accordance with the law of conservation of energy.
Why energy is important?Modern medical technology, transportation, communications, computers, and many other items are all powered on energy. It might even save a person's life. One of the important sources of energy is the sun. The sun, from which all energy emanates, provides the majority of the energy used on Earth. In addition to giving us solar thermal energy, sunlight also enables solar (photovoltaic) cell to produce electricity.
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if two electrons are placed each 2.11e-10 m from a proton as shown, what is the magnitude of the net electrical force they exert on the proton (in newtons)?
The total of the individual forces that each electron applied to the proton would be the net force acting on it. A net force of roughly 1.67 * 10-8 N would result from this.
How powerful is the electrical force between a proton and an electron?
According to Coulomb's law, which states that the electrical force between two charged particles is proportional to the product of their charges and inversely proportional to the square of their distance, the electrical force between an electron and a proton has a maximum value. The formula F = k * |q1 * q2| / d2 can be used to determine the strength of the electrical force between an electron and a proton.
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A light curve for a star measures how its brightness changes with
A star's light curve demonstrates how that is brightness changes as time passes.
What is the straightforward meaning of time?Duration is the length of time, either measured or unmeasured, that an action, process, and situation lasts or continues. a nonspatial continuum defined as the succession of events from the past through the present and into the future.
What is time in universe?However, Einstein proposed the idea of eternity as the three - dimensional space, indicating the irreducible connection between space and time. His relativity general theory (opens in new tab) postulates that the momentum and mass of adjacent matter determine how much space-time expands and contracts.
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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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Why is the plane of our solar system's planets not perpendicular to the sun's rotational axis?
The plane of our solar system's planets is not perpendicular to the sun's rotational axis because the solar system did not form as a rigidly rotating disk. Instead, it formed through a process known as gravitational collapse.
What is Sun's rotational axis?The sun's rotational axis is an imaginary line that runs through the sun's center and perpendicular to its surface. This axis is used to describe the orientation of the sun's rotation, which occurs around this axis.
Does the sun rotate around anything?The sun does not rotate around anything. It is the center of our solar system, and all the planets, including Earth, orbit around it. The sun rotates on its own axis.
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Which factors cause transitions between the solid and liquid state? Check all that apply. The increase in pressure of most liquids can lead to the transition to the solid phase. In general, an increase in pressure promotes the formation of a less dense phase. The increase in pressure of most liquids cannot lead to the transition to the solid phase. The decrease in pressure of most liquids can lead to the transition to the solid phase. In general, an increase in pressure promotes the formation of a denser phase. Part B Which factors cause transitions between the liquid and gas state? Check all that apply. a. A gas can be converted into a liquid by decreasing the pressure of a gas sample. b. A gas can be converted into a liquid by increasing the pressure of a gas sample. c. A gas cannot be converted into a liquid by increasing the pressure of a gas sample. d. In general, an increase in pressure promotes the formation of a less dense phase. e. In general, an increase in pressure promotes the formation of a denser phase
A decrease in pressure for most liquids can result in a transition to the solid phase, while generally speaking, a rise in pressure encourages the formation of a denser phase.
What is pressure and its SI unit?Pressure is characterised as the thrust acting per unit area of a body (perpendicular force on a surface). Mathematically, it can be stated as follows: Pascal is the SI unit of pressure (Pa). One Pascal is the amount of pressure one Newton of force produces over a one-meter-squared surface. In addition, 1 P a = 1 N / m 2.
What type of energy is pressure?Air pressure is described as the average relative motion per unit area per unit time caused by colliding particles between a fixed amount of gas and its boundary in the physical laws of ideal gas law. Pressure is defined as Force per Area. The force multiplied by the area in which the force is applied is the equation for pressure.
These factors are what induce transitions between the solid and liquid states. Which of the following factors (a) and (b) causes transitions between the liquid and gas states (e).
Which circumstances lead to changes from the liquid to gas state are discussed in Part B The pressure of a gas sample can be reduced to turn it into a liquid, and an increase in pressure often encourages the creation of a denser phase.
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an inquisitive physics student and mountian climber climbs a 44.3 m cliff that overhangs a calm pool of water. he throws two stones vertically downward, 0.75 s apart and observes that they cause a single splash. the first stone has an initial velocity of 1.75 m/s. how long after release of the first stone do the two stones hit the water?
It will take 6.7secs to hit second stone after the first stone of velocity 1.75m/s.
We set [tex]y_{i}[/tex] =0 at the top of the cliff, and find the time interval required for the first stone to reach the water using the particle under constant acceleration model:
[tex]y_{r} = y_{i} + v_{yi}t + \frac{1}{2} a_{y} t^{2}[/tex]
If we take the direction downward to be negative,
[tex]y_{f} = -44.3 m, v_{yi} = -1.75 m/s, and a_{y} = -9.80m/s^{2}[/tex]
Substituting these values into the equation, we find
[tex](4.90m/s^{2} )t^{2} + (1.75m/s)t - 44.3m = 0\\[/tex]
We now use the quadratic formula. The stone reaches the pool after it is thrown, so time must be positive and only the positive root describes the physical situation:
[tex]t = -1.75m/s + \sqrt{1.75m/s^{2} - 4(4.90m/s^{2} (- 44.3m)} / 2(4.90m/s^{2} )[/tex]
t = 6.7 s
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suppose you are using gauss's law to find the magnitude of the electric field e a distance r outside a charge distribution with spherical symmetry. what would be the electric flux through the gaussian surface that you choose? hint: the left-hand side of gauss's law.
In this case, we would mainly choose a spherical Gaussian surface of radius r which is centered on the charge distribution. The electric flux through this surface would then be proportional to the total charge enclosed within the sphere, that is proportional to the electric field at a distance r:
Φ = 4πr²E
where E is the magnitude of the electric field at a distance r.
According to Gauss's law the electric flux through a closed surface is proportional to the charge enclosed within the surface:
Φ = Q / ε0
where Φ is the electric flux, Q is the charge enclosed within the surface, and ε0 is the vacuum permittivity.
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A California geothermal power plant generates 4.3 MW by extracting 24 MW of heat from an underground source at 108° C and then discharging waste heat into the 17° C air. What is the actual efficiency of the plant?
The actual efficiency of the plant is [tex]17.9[/tex]%.
What do you understand by geothermal power?Geothermal power is a form of renewable energy that harnesses heat from the Earth's interior to generate electricity. This heat is captured through geothermal wells or reservoirs and used to drive a turbine to generate electricity.
What are the heat sources of geothermal power?The heat sources can be found in areas with volcanic activity or hot springs. Geothermal power is considered a clean and sustainable source of energy, as it emits deficient levels of greenhouse gases compared to fossil fuel power plants.
The actual efficiency of geothermal power will be:
Efficiency = (Net electrical output) / (Heat input)
Net electrical output [tex]=4.3 M W[/tex]
Heat input [tex]=24MW[/tex]
Therefore, Efficiency [tex]=4.3/24=0.179[/tex] or [tex]17.9[/tex]%.
So, the actual efficiency of the plant is [tex]17.9%[/tex]%.
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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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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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what force would a proton experience in the same field?
A proton would receive a force of − 2.40 × 10−13 N ^i − 2.40 × 10 − 13 N i ^ , which is accurate to three significant numbers, in the same field.
Will there be a force acting on an electric field when a proton is in it?The proton will feel a force that is parallel to a electric field, and the particle will feel a force that is opposite the electric field. Due to the electron's and proton's distinct masses, the acceleration brought on by this force will change for each particle.
What force is present when an electric field is applied to a proton and to an electron?An electron seems to be a negative charges particle of equivalent size to a proton, which is positively charged. As a result, when exposed to the an electric field, they will experience the very same amount of energy force. As a result, the relationship between acceleration and mass will be inverse.
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what electric field is necessary to drive a 8.0 a current through a silver wire 0.65 mm in diameter?
The electric field is necessary to drive a 8.0 amp current through a silver wire 0.65 mm in diameter is 0.38 V/m.
The current is = 8 amp
The diameter = 0.65 mm
The electric field expression is as follows :
E = ρ J =
E = ρ I / A
A =( 1 / 4 ) π d²
E = 4 (1.59 × 10 ⁻⁸ ) ( 8 ) / 3.14 × ( 0.65 mm )²
E = (50.8 × 10 ⁻⁸ ) / 1.32
E = 0.38 V/m
Thus, the electric field used to drive the current is 0.38 V/m.
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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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when a light bulb is connected to a 4.5 v battery, a current of 0.12 a passes through the bulb filament. what is the resistance of the filament?
The resistance of the filament is 37.5 Ohm. The result is obtained by using Ohm's law.
What is Ohm's law?Ohm's law states that the current passing through an electrical circuit is directly proportional to the voltage across two points.
It can be expressed as
I = V/R
Where
I = electrical current (A)V = voltage applied (V)R = resistance (Ohm)A light bulb is connected to a 4.5 V battery. The current passes through the bulb filament is 0.12 A. Find the resistance of the filament!
We have
V = 4.5 VI = 0.12 AUsing the formula above, we can get the resistance.
I = V/R
0.12 = 4.5/R
R = 4.5/0.12
R = 37.5 Ohm
Hence, the bulb filament has a resistance of 37.5 Ohm.
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ANSWER THESE (EARTH SYSTEMS) QUESTIONS GET A BRAINLY AND FREE PINTS
The galaxies are moving away from us.
The galaxy is many thousands to hundreds of millions of the stars held together by gravity; typically surrounded by black hole at the center.
Cosmic background radiation is leftover heat from Big Bang.
What is galaxy?A galaxy is a vast collection of stars, solar systems, gas, and dust. Gravity holds a galaxy together. A supermassive black hole also resides in the center of our galaxy, the Milky Way.
You see additional stars in the Milky Way as you look up at the stars in the night sky. According to some researchers, the universe may contain as many galaxies as there are stars.
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Starting at the same time, an arrow and a ball are shot horizontally with a speeds of 50 m/s and 44 m/s respectively from the top of a building over flat ground. which best describes what happens?
Which best describes what happens is The arrow and the ball will hit the ground at the same time, as their vertical motion is unaffected by their horizontal motion. The time it takes for an object to fall to the ground can be calculated using the formula: t = [tex]\sqrt{(2h/g)}[/tex], where h is the height of the building and g is the acceleration due to gravity (9.8 m/s^2)
Velocity is a measure of the rate of change of an object's position with respect to time. It is a vector quantity, which means it has both magnitude and direction. In physics, velocity is often symbolized by the letter "v" and is calculated as v = Δd/Δt, where Δd is the change in an object's position (displacement) and Δt is the change in time.
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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.
a projectile is launched at an initial speed (magnitude of velocity) at an angle above the horizontal. if the horizontal (to the right) is denoted as the direction and vertical (upward) as the direction, what are the x- and y-components of the initial velocity of this projectile?
The x and y-components of the initial velocity of the projectile are [tex]V_x = v_o cos\theta[/tex] and [tex]v_y = v_osine\theta- gt[/tex]respectively.
Projectile motion is what?When a particle is launched obliquely near the surface of the earth, it travels along a curved path while accelerating continuously in the direction of the planet's core (we assume the particle remains close to the surface). Such a particle's motion is known as projectile motion, and its path is known as a projectile.
A projectile motion is the simultaneous occurrence of two different rectilinear motions:
• Uniform velocity along the x-axis, which drives the particle's forward (horizontal) motion.
• Uniform acceleration down the y-axis, which drives the particle's downward (vertical) motion.
Applying 1st equation of motion on the x-axis,
[tex]Vx = v_ocos\theta + (0)t \\Vx = v_o cos\theta[/tex]
Applying the same 1st law of motion on the y-axis,
[tex]V_y=v_osine\theta - gt[/tex]
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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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a satellite is traveling in a circular orbit around mars at an altitude of 180 mi. after the altitude of the satellite is adjusted, it is found that the time of one orbit has increased by 10 percent. knowing that the radius of mars is 2071 mi, determine the new altitude of the satellite.
The speed of a satellite in a circular earth is constant. The gravity pressure between the Earth itself and satellite keeps the percentage at 10%, but nothing is accomplished. The radius to Mars is 2071 miles.
Why does a satellite traveling in a circular path maintain a constant speed whereas doing so in an elliptic orbit changes?The quantity of the flow speed cannot be influenced by the inward force because perpendicular elements of mobility are independent of one another. Because of this, there is no accelerating in the tangential direction, and the satellite continues to move continuously in a circle.
What happens to a satellite's speed as it approaches Earth?The more closely two items are to one another, the greater the gravitational attraction between them. The acceleration will increase if the force they share is bigger. The acceleration and velocity change increase with increasing acceleration, which accelerates the item.
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if a ball is thrown directly upward with a velocity of 76 feet per second, its height (in feet) after seconds is given by . what is the maximum height attained by the ball?
When hurled at an angle to the horizontal, a projectile can only rise to a height that is half its horizontal range. The length of a ball is represented by the equation h(t)=-16t+48t+160, where T is the launch time.
Is 0 always the highest point?Any projectile that reaches its maximum height has zero instantaneous speed. Because gravity provides the ball a same velocity on the way up (slowing) as on the way down, the time required for the ball to travel to its highest point and return to its launch position is equal (speeding it up).
How do you determine a function's maximum and lowest height?The vertex, which is a maximum (or lowest) in a parabola, can be located by solving the square (yuck!) or by using the formula x = -b/2a. By adding this x value back into the previous equation, which corresponds to the vertex's x, we may get the associated maximum height.
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if you go on both rides, can you be confident that your wait time for speed slide will be longer than your wait time for wave machine?
Answer:no
Explanation:
Answer: No. There is a lot of overlap in the two data sets.
Explanation:
i did it
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
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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how much work must be done to compress the gas by a factor of 12.0, starting from its initial volume?
The work must be done to compress the gas by a factor of 12.0, starting from its initial volume = 11472 Joules
Isothermal compression is another name for this phenomenon. Another name for the work done by gases is pressure-volume, or PV. Consider a piston that contains gas. Gas can enter and exit the piston through two tubes, which can govern the piston's movement.
Following are the calculations for the labor involved in compressing the gas to half its initial volume and by a factor of 12:
W = PΔv
Where,
W = work done (Joule)
P = pressure
v = volume
W1/Δv1 = W2/Δv2
Hence,
W2 = (478 x 12) / 0.5
= 11472 J
The question is incomplete, it should be:
478 J of work must be done to compress a gas to half its initial volume at constant temperature. How much work must be done to compress the gas by a factor of 12.0, starting from its initial volume?
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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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Will the daylight duration increase as you go north on June 21?
Answer:
Below
Explanation:
Yes ....due to the 23° tilt toward the sun, after the spring equinox and before the autumnal equinox, everyplace NORTH of you will have longer days than your place. ( in the Northern hemisphere)