The ratio of car speeds at the bottom of the slope would be 2:1 for release heights of 15 cm and 60 cm, respectively. Thus, option D is correct.
What is speed and velocity unit?The variable for velocity is also bold because it is a vector, as opposed to the variable for speed, which is italics since it is a scalar quantity.
Gravity continuously accelerates an object (increases its velocity) during free fall until it reaches terminal velocity. In particular, for every second that passes, gravity accelerates a falling item by 9.8 meters per second (m/s).
The rate at which the location of an object shifts in any direction. Speed is measured as the ratio of the distance travelled to the time it took to cover that distance.
Therefore, Similar to speed, velocity is measured in meters per second (m/s), but because it is a vector, you must also take direction into account.
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Problem 6
Frank, a San Francisco hot dog vender, has fallen asleep on the job. When an earthquake strikes, his 300-kg hot-dog
cart rolls down Nob Hill which is 50 m high.
A. What is the PE of the cart at the top of Nob hill?
B. What is the Kinetic Energy of the cart at the bottom of the hill?
C. What is the speed of the cart at the bottom of the hill?
a physical property of some energies that corresponds to the distance between wave peaks(characteristics of light waves. distance between the peaks of consecutive waves)
Wavelength is a physical property of some energies that corresponds to the distance between wave peaks (characteristics of light waves, distance between the peaks of consecutive waves).
The amplitude and wavelength of a wave are two physical properties. Measured from the wave's highest point (peak or crest) to its lowest point, the amplitude of a wave indicates its height (trough). Wavelength is the distance a wave travels between peaks.
A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles. This length is typically defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm) (mm). The wavelength is more frequently described in nanometers (nm), which are units of 10-⁹ m, or angstroms (Å), which are units of 10-¹⁰ m, for infrared (IR), visible light (UV), and gamma radiation (γ)
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used to measure the center of a set of values. good for summarizing values that are generally very similar to one another. tool name from?
To determine the middle of a group of variables, use the mean. It works well for averaging data that are often quite comparable to one another.
The average is more frequently used to refer to mean. By summing up each value and dividing by the total number of values, it is computed. It is a useful method for condensing the core values, which are frequently extremely similar to one another.
Since it takes the average of all values in the data set, the mean is the most often used measure of central tendency. The median performs better than the mean for data from skewed distributions since it is unaffected by high values.
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--The complete question is, _________ is used to measure the center of a set of values. It is good for summarizing values that are generally pretty similar to each other.--
what is the fastest speed at which you can go around the curve without the book sliding? the coefficient of static friction between the book and the seat is 0.40.
The highest G force this may produce is 0.80e n = 0.8 (9.8 m/sec2) = 7.84 m/sec2 since the friction factor is 0.80. The issue then claims that stopping takes three seconds.
Is g-force a basic force?
Despite its name, g-force is not a fundamental force; rather, it is a specific kind of acceleration that may be detected by an accelerometer. Any g-force can be thought of as "weight per unit mass" because g-force amplitudes indirectly produce weight
Is the g-force a scalar or a vector?
Despite the fact that acceleration is indeed a vector variable, g-force accelerations (abbreviated "g-forces") are frequently written as a scalar, with good g-forces pointing below (signifying upward acceleration) and minus g-forces pointing upward. A g-force is indeed a vector of velocity as a result.
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a magnetic disturbance on the sun's surface is called question 71 options: the electromagnetic spectrum. the solar wind. a magnetospheric cyclone. a sunspot. g
"A magnetic disturbance on the sun's surface is called sunspot." The correct option is D.
The Sun's gases are constantly moving, which stretch and twist the magnetic fields. This motion creates a lot of activity on the Sun's surface, known as solar activity.
Sunspots are areas of lower surface temperature linked with concentrated magnetic field flux and vigorous magnetic activity on the Sun's photosphere that are darker than the surrounding photosphere regions on the visible solar disc. They typically come in opposite magnetic polarity pairs.
A geomagnetic storm is a significant disruption of the magnetosphere that happens when energy from the solar wind is exchanged very effectively into the space environment around Earth.
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Calculate: An object’s weight is determined by its mass (m) and the acceleration due to gravity (g) affecting that object: w = mg. On Earth, g = 9. 8 m/s2.
What are the masses (in kilograms) of the three objects on the Gizmo? (Note: 1 N = 1 kg × m/s2)
The masses (in kilograms) of the three objects on the Gizmo is 14N object=1.42 kg, 80N object = 8.16kg, 98N object = 10kg
In physics, is gravity always 9.8?Gravity always accelerates objects at a rate of 9,8 m/s2 as it draws them toward the ground. Unless air resistance favors one item over another, all objects of study to the same rate due to gravity, despite differences in mass. Any two masses, bodies, or particles can be attracted to one another by the force of gravity.
Generally
For a Gizmo Bearing Mass of defined as integers
Say
14N, 80N, 98N
Therefore
For 14N
ω = m×g
14 = m×9.8
m1 = 1.42 kg
For 80N
ω = m×g
80 = m×9.8
m2 = 8.16kg
For 98N
ω = m×g
98 = m × 9.8
m3 = 10Kg
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a man weighs 600 n while on the surface of earth. if he is transported to the planet mythos, which has the same mass as earth but a radius that is five times larger than earth's, his weight would be group of answer choices
Human body weight is equal to 600 N. Gravitational acceleration on earth: g = 10 m s 2 Man's weight on Earth is 600 kg. 10 sq . ft = 60 kg Since mass is consistent everywhere, we are aware of this.
What does gravity mean?
The attraction of items by the earth is known as gravitation. The earth's gravity causes objects that are hurled upward to reach a specific height before falling to the ground. 2. Space objects may be drawn to one another by gravity. the attraction force between the sun and the other planets.
Gravitational interaction: What is it?
The weakest of the four basic forces of nature, attraction between physical things having mass or energy is a natural phenomena. also known as gravity. the process or act of moving while being drawn to something. check out gravitational interaction. a movement in the direction of a source of desire: the middle classes' attraction.
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an object is traveling arouind a circle with a radius of 13 feet. if in 40 seconds a central angle of 1/7 radian is swept out, what are the linear and angular speeds of the object
One worth of distance is covered by the object. The radius times 2 pi is the circumference. 1 metre is the radius.
Describe a radius?The distance from a circle's centre to just about any place on its periphery is known as the radius. The radius of a circle is the distance measured from the centre to any point within the circle, according to another definition.
The area of a circle is the measurement of the area contained within the circle. Radius: The radius of the a circle is indeed the farthest from to a spot on the edge. The letter "r" or "R" stands in for it.
How do circles work?A closed this double figure is a circle.
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correct application of fermats theorem to fluid dynamics
Fermat's theorem, also known as the principle of least time, states that the path taken by light or any other wave between two points is the path that minimizes the time taken. In fluid dynamics, this theorem can be applied to the flow of fluids in pipes or channels.
The basic idea is that the fluid will take the path that minimizes the time it takes for it to travel from one point to another. In other words, the fluid will follow the path of least resistance, where resistance is determined by the fluid's velocity and the diameter of the pipe or channel.
For example, in a fluid flow system with multiple branches or turns, the fluid will tend to follow the path with the smallest diameter or the least amount of resistance, as this will be the quickest path for the fluid to take.
This can be important in designing fluid systems, as it can affect the flow rate, pressure, and energy consumption of the system.
In summary, the correct application of Fermat's theorem to fluid dynamics involves considering the time it takes for a fluid to travel from one point to another and selecting the path that minimizes that time. This can help in optimizing fluid flow systems and improving their efficiency.
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if you hold a spoon in front of your face so that you see your image in the bowl of the spoon, your image is upright when you hold the spoon close to your face, but inverted when you hold the spoon far away. explain why this change occurs.
The change in the orientation of the image in the spoon happens due to the change in the angle of incidence and the reflection of light.
When we hold the spoon close to our face, the light rays from our face strikes the spoon at a smaller angle of incidence and gets reflected back to our eyes at a smaller angle,
So, the image you see in the spoon is upright.
When we hold spoon far away from our face, the light rays from our face strikes the spoon at a larger angle of incidence and gets reflected back to your eyes at a larger angle,
So, the image you see in the spoon is inverted.
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from a height of 2 m , you hit a tennis ball perfectly horizontally at 20 m/s . at the same time, you drop a tennis ball from the same height. which one hits the ground first?
The ball that was dropped from a height of 2 meters will hit the ground first. This is because the ball that was dropped was not given any horizontal velocity, so it will fall straight down with an acceleration of 9.8 m/s2.
What is the velocity?Velocity is a vector quantity that describes the rate and direction of an object's motion. It is defined as the rate of change of an object's position, with respect to time. Velocity is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of bodies. Velocity is usually expressed in meters per second (m/s), but it can also be expressed in other units such as kilometers per hour (km/h).
The ball that was hit with a horizontal velocity of 20 m/s will travel horizontally for a certain amount of time before it begins to fall and accelerate downwards. As a result, the ball that was dropped will hit the ground first.
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can someone tell me what herman branson was recognized or awarded for their work
Answer:
The Pauling-Branson Award recognizes the contributions of Herman Russell Branson, (1914-1995), one of the first African American physicists to make crystallography the focus of his research.
can I have some help on this, please? I want to put in the box's i just don't know the answer to the question.
The action or do is the cause or applied force while the reaction is the after effect of the applied force.
What is Newton's third law of motion?
Newton's Third Law of Motion states: "For every action, there is an equal and opposite reaction." This means that if an object A exerts a force on object B, then object B will exert an equal and opposite force back on object A.
Examples of Newton's Third Law of Motion include:
Kicking a ball: the kicking of the ball is the action and the ball's motion is the reactionSwimming: When a swimmer moves their arms and legs, they push against the water and the water pushes back with an equal and opposite force.Flying a kite: When the wind blows on a kite, the kite exerts an equal and opposite force on the wind, causing the kite to fly.Learn more about Newton's third law of motion here: https://brainly.com/question/25998091
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Explanation:
please make me brainalist and keep smilingIf a train going 60 m/s hits the brakes and it
takes the train 1 minute and 40 seconds to
come to a complete stop, what is the train's
acceleration?
Answer with Explanation:
We can use the formula for acceleration to find the train's acceleration:
acceleration = (final velocity - initial velocity) / time
In this case, the initial velocity of the train is 60 m/s (since that's how fast it was going before it hit the brakes), the final velocity is 0 m/s (since the train comes to a complete stop), and the time it takes for the train to stop is 1 minute and 40 seconds, or 100 seconds.
So, plugging in the values we have:
acceleration = (0 m/s - 60 m/s) / 100 s
acceleration = -60 m/s / 100 s
acceleration = -0.6 m/s^2
Note that the negative sign indicates that the train is decelerating (slowing down), as opposed to accelerating (speeding up).
a stunt driver wants to make his car jump over 10 cars parked side by side below a horizontal ramp. the vertical height of the ramp is 2.0 m, and the horizontal distance he must clear is 24 m. with what minimum speed must he drive off the ramp?
The stunt driver must drive off the ramp with a minimum speed of 53.93 m/s to successfully clear the 10 parked cars.
The trick driver needs to get an upward level free from 2.0 m and a flat distance of 24 m. To find the base speed required, we can involve the kinematic condition for vertical movement affected by gravity:
vf^2 = vi^2 + 2 * g * Δy
where vf is the last speed (extent of speed), vi is the underlying speed (size of speed), g is the speed increase because of gravity (9.8 m/s^2), and Δy is the adjustment of vertical level. We need the underlying speed (vi) so we can rework the condition:
vi = √(vf^2 - 2 * g * Δy)
For this situation, Δy = 2.0 m, g = 9.8 m/s^2, and vf = 0 (last speed is 0 in light of the fact that the vehicle lands on the ground).
vi = √(0 - 2 * 9.8 * 2.0) = √(- 39.2) = 6.27 m/s
This is the base vertical speed the vehicle should need to clear the 10 left vehicles. To find the base speed, we should likewise consider the even speed expected to cover the distance of 24 m.
v = √(vi^2 + vh^2)
where vh is the even speed. Since the even distance is 24 m and the hour of flight can be determined utilizing the upward movement condition, we can utilize the condition:
vh = d/t
where d is the flat distance (24 m) and t is the hour of flight.
t = √((2 * Δy)/g) = √((2 * 2.0)/9.8) = 0.447 s
vh = 24 m/0.447 s = 53.67 m/s
At long last, the base speed can be found as:
v = √(vi^2 + vh^2) = √(6.27^2 + 53.67^2) = 53.93 m/s (adjusted to 2 critical digits)
In this way, the trick driver should drive off the slope with a base speed of 53.93 m/s to clear the 10 left vehicles effectively.
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you set a tuning fork into vibration at a frequency of 683 hz and then drop it off the roof of the physics building where the acceleration due to gravity is 9.80 m/s2. determine how far the tuning fork has fallen when waves of frequency 657 hz reach the release point? (take the speed of sound in air to be 343 m/s.)
1180.7 meters far the tuning fork has fallen when waves of frequency 657 Hz reach the release point while taking the speed of sound in air to be 343 m/s.
We can determine the distance fallen by the tuning fork by considering the time it takes for the waves of frequency 657 Hz to reach the release point. We know that the speed of sound in air is 343 m/s, so the distance traveled by the sound waves is equal to the speed of sound multiplied by the time elapsed.
Let "d" be the distance fallen by the tuning fork and "t" be the time elapsed. The frequency of the tuning fork changes due to its motion under the influence of gravity, and this change in frequency is related to the distance fallen:
= f
= [tex]683 Hz \sqrt{*[1 - (d * g) / (343 m/s)^2]}[/tex]
here, "g" is the acceleration due to gravity.
Setting this expression equal to 657 Hz and solving for "d":
= 657 Hz
= [tex]683 Hz * \sqrt{[1 - (d * g) / (343 m/s)^2]}[/tex]
Solving for "d":
= d
= [tex](343 m/s)^2 * [1 - (657 Hz / 683 Hz)^2] / g[/tex]
adding the values:-
= d
= [tex](343 m/s)^2 * [1 - (657 Hz / 683 Hz)^2] / 9.80 m/s^2[/tex]
= [tex](343 m/s)^2 * [1 - (657 Hz / 683 Hz)^2] / 9.80 m/s^2[/tex]
= [tex](119056 m^2/s^2) * [1 - (657 Hz / 683 Hz)^2] / 9.80 m/s^2[/tex]
= [tex](12149.6 m^2/s^2) * [1 - (657 Hz / 683 Hz)^2] / 9.80 m/s^2[/tex]
= [tex](12149.6 m^2/s^2) * (1 - (657 Hz / 683 Hz)^2) / 9.80 m/s^2[/tex]
= [tex]12149.6 * [1 - (657 Hz / 683 Hz)^2] / 9.80 m[/tex]
= [tex]12149.6 * [1 - (657 Hz ÷ 683 Hz)^2] / 9.80 m[/tex]
= [tex]12149.6 * (1 - 0.0384) / 9.80 m[/tex]
= [tex]12149.6 * 0.9616 / 9.80 m[/tex]
= 1180.7 m
Therefore, the tuning fork has fallen a distance of 1180.7 m when waves of frequency 657 Hz reach the release point.
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Two ropes are identical. A wave traveling through the first rope has a frequency of 1. 5 hertz and a wavelength of 6 meters. What is the frequency of a wave in the second rope if its wavelength is 2 meters?(1 point)
3 hertz
9 hertz
4. 5 hertz
1. 5 hertz
(cmmt if u want to be added to a connection acadmy Physics B ig gc)
06255 seconds. 1 second. There are exactly two ropes. The first rope's initial wave has a wavelength of 6 meters and a frequency of 1.5 hertz.
the separation between the corresponding spots of two successive waves is known as the wavelength. Two points or particles that are "corresponding points" are those that have finished the same fractions of their periodic motion and are in the same phase. Ordinarily, the wavelength of transverse waves—those with points vibrating perpendicular to the direction of their advance—is calculated from crest to crest or from trough to trough; for longitudinal waves—those with points vibrating parallel to the direction of their advance—the wavelength is calculated from compression to compression or from rarefaction to rarefaction. The Greek symbol lambda () is commonly used to represent a wave's length. Wavelength is defined as the product of the speed (v) and frequency (f) of a wave train in a given medium.
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A roller coaster features a near vertical drop of 135 meters. If the initial velocity was zero, the mass of the cart and riders was 1,500 kg, and the
velocity at the end of the drop was 45 m/s, how much of the potential energy was converted into thermal energy?
O a
Ob
Oc
Od
392 kJ
468 k
518 kj
579 kj
The roller coaster used 468KJ of potential energy that was then transformed to thermal energy.
How does energy move along a roller coaster?visualise a roller coaster drive that converts potential energy to thermal energy The roller coaster's descent generates kinetic energy. The bottom of the roller coaster's track is where the highest kinetic energy is produced. As the object starts to rise, the kinetic energy turns into potential energy.
What transpires to potential energy during a roller coaster ride?A roller coaster moves because potential energy is transformed into kinetic energy. As the roller coaster vehicles are driven to the top of the first hill, their potential energy increases. The cars fall, converting potential energy into kinetic energy.
According to the given information:The roller coaster ride transforms the stored potential energy at a height of 135m into kinetic and thermal energy.
P.E = K.E final + Thermal energy
mgh = 1/2mv² + TE
TE=> mgh - 1/2 mv²
=> 1500( 9.8x 135 - 1/2 x 45²)
=>465.75 KJ approximately
=> 468KJ
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an excimer laser produces radiation at 157 nm, and optics with a numerical aperture of 1.4 is available. what is the smallest size of feature you could make in a resist? how might smaller final features be made in the underlying silicon with the same optics?
A 157 nm exim laser emits light, and 1.4 numerical aperture optics are provided. What would be the smallest feature you could create?
Radiation definition?Electromagnetic waves or particles are emitted as energy. Radium, cosmic rays from space, medical x-rays, or energy released by a radioactive unstable version of a chemical substance that emits radiation because it begins to break down and becomes more unstable are a few common sources of radiation.
hazardous external risk. "Beta burns" can result from beta particles partially penetrating skin. Alpha rays cannot pass through healthy skin. A human can be penetrated by gamma and x-rays, which harm the cells in the path.
Describe cosmic rays?They are energetic particles that travel through space at velocities close .
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does a neutral hydrogen atom have an attraction for an additional electron
Answer: Yes
Explanation: It has space in its valence shell for an additional electron.
The answer to this question is yes, a neutral hydrogen atom does have an attraction for an additional electron. This attraction arises from the fact that the positively charged proton in the nucleus of the atom attracts negatively charged electrons. When an additional electron is brought near the hydrogen atom, it will be attracted to the positively charged proton in the nucleus. The attraction between the proton and the electron is quantified by Coulomb's law.
Neutral hydrogen atoms consist of a single proton in the nucleus and a single electron in the outer shell. The electron is negatively charged, while the proton is positively charged. Thus, the electron and the proton are attracted to each other by the electromagnetic force, creating a stable neutral atom. The question asks whether the neutral hydrogen atom has an attraction for an additional electron.
Coulomb's law states that the force between two charged particles is proportional to the product of their charges and inversely proportional to the distance between them. In the case of the hydrogen atom, the force between the electron and the proton is given by:
F = kq1q2/r^2
where F is the force, k is Coulomb's constant, q1 is the charge of the electron, q2 is the charge of the proton, and r is the distance between them.
Since the electron has a negative charge and the proton has a positive charge, their product (q1q2) is negative, which means the force between them is attractive. As the distance between the electron and the proton decreases, the force between them increases. Therefore, when an additional electron is brought near the hydrogen atom, it will be attracted to the positively charged proton in the nucleus.
However, there is a limit to how many electrons can be added to a hydrogen atom. When a second electron is added, it will be repelled by the first electron, and the repulsive force between the two electrons will become stronger than the attractive force between the electron and the proton. This means that adding a second electron to a hydrogen atom requires more energy than adding the first electron. In fact, the energy required to add a second electron is so high that it is unlikely to occur under normal conditions. Therefore, a neutral hydrogen atom can attract an additional electron, but it can only form a negative ion with a single additional electron.
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Students measure how much work it takes to lift an object two meters. They use an inclined plane that is 3 meters long, an inclined plane that is 4 meters long, and a compound pulley. Which statement is correct?
The inclined planes and the compound pulley can be used to measure the work required to lift the object two meters, but the results will vary depending on the length of the inclined plane.
What is the compound ?A compound is a substance composed of two or more elements that are chemically bonded together. Compounds can exist in either a solid, liquid, or gaseous state, and they are held together by either covalent, ionic, or metallic bonds. Examples of compounds include water (H2O), table salt (NaCl), and carbon dioxide (CO2). Compounds are important in everyday life, as they are the basis of all matter around us. Compounds are essential components of the environment and are necessary for life to exist. Compounds are used in a variety of fields, ranging from medicine and healthcare to engineering and industrial processes.
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two pans of a balance are 61.8 cm apart. the fulcrum of the balance has been shifted 1.01 cm away from the center by a dishonest shopkeeper. by what percentage is the true weight of the goods being marked up by the shopkeeper? assume the balance has negligible mass. answer in units of .
The percentage that is the true weight of the goods being marked up by the shopkeeper is 3.22%
What is mass?In physics, mass is a numerical value of inertia, a basic property of all matter. It generally refers to an object of matter in the universe opposition to change its speed or motion in answer to the force applied to it. Some examples of objects with mass include a table, a sofa, your bed, a baseball, a glass, and even air. The weight of an item defines that it is heavy or light.
Percentage change:
Wd=W′d ′
W( 61.8-1.01 )=W'( 61.8+1.01 )
W60.79=W'62.81
W'=W60.79/62.81
W'=0.9678W.
Now let find the percentage change as:
W-W'÷W 100%
=W-0.9678W÷W 100%
Percentage change=100%-96.78%
Percentage change=3.22%
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two cyclists, 144 mi apart, start riding towards each other at the same time. one cycles twice as fast as the other. if they meet 3 hr later, at what average speed is each cyclist traveling?
The required speed of the cyclist 1 is 16 mile per hour and the speed of the cyclist 1 is calculated to be 32 mile per hour.
Distance between cyclists is given as 144 miles.
If v is the speed of one bicycle, the speed of the other cyclist is twice as fast.
Speed of second cyclist = 2 × v
Time taken by them to meet each other is 3 hr
The relative velocity between them as they approach one another is given by
Relative speed is equal to v + 2v = 3v.
We have,
Distance = Time × Velocity
144 = 3 × 3 v
9v = 144
v = 16 mile per hour
Thus, speed of cyclist 1 is v = 16 mile per hour, speed of cyclist 2 is 2v = 32 mile per hour.
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a) if a circuit operates at a frequency of 20 mhz, how large can it be without the designer being concerned with ac effects? b) if a circuit with pulses of approximately 250 ns can tolerate delays of 25 ns, how large can the circuit be in cm? (1 point)
The size of a circuit that operates at a frequency of 20 MHz is dependent on the design of the circuit and the components used in it.
If the designer is concerned with AC effects, then the size of the circuit components should be a fraction of the wavelength of the signal. The wavelength of a 20 MHz signal is 15 meters, so the circuit components should be much smaller than that. The size of the circuit would depend on the speed of the components used in the circuit. Generally, the speed of the components determines how quickly signals can travel. For example, if the components used in the circuit are capable of sending signals at speeds of 1 cm/ns, then the circuit can be at most 25 cm in size.
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while the engine is cranked, a voltmeter placed between positive battery post and the positive post of the starter reads less than .01 volt. the cause of this reading could be .
A voltmeter positioned between the positive thinking requires connection and the positive pin of the starter registers less than.01 volt when the engine is running. This reading's origin could
What is the purpose of a voltmeter?
voltmeter: a device for measuring voltage. The device used to measure the electric differences between two places in an electrical circuit is called a voltmeter. Digital voltmeters utilize an analog-to-digital converter to display voltage as a numerical value; analog voltmeters swing a pointer across a scale in response to the voltage of the circuit.
What kinds of voltmeters are there?
Voltmeter classification or types. We offer a variety of voltmeter kinds, most of them are based on the construction principle. PMMC Voltmeter (Permanent Magnet Moving Coil). Voltmeter for moving iron (MI). Voltmeter of the Electro Dynamometer kind. Voltmeter of the Rectifier Type Voltmeter of the induction kind. Voltmeter of the electrostatic variety.
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A hot-air balloon is ascending at the rate of 12 m/s and is 65 m above the ground when a package is dropped over the side. (a) How long does the package take to reach the ground? (b) With what speed does it hit the ground?
a) The package takes 2.45 seconds to reach the ground.
b) It hits the ground with a velocity of -24.1 m/s.
To answer this problem, we'll use the equation of motion for a freely falling object:
[tex]d = v_{0}t + 0.5at^{2}[/tex], where d is the distance fallen, [tex]v_{0}[/tex] is the initial velocity (0 m/s in this case), a is the acceleration due to gravity (-9.8 m/s²), and t is the time elapsed.
We can use this equation to find t:
d = 0.5(-9.8)t²
65 = -4.9t²
t = √(65 / -4.9) = 2.45 s
Using this time, we can find the final velocity:
[tex]v = v_{0} + at[/tex]
v = -9.8 * 2.45
v = -24.1 m/s
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a good diffraction grating has 2210 lines/cm. what is the distance between two lines in the grating? answer in units of cm.
The distance between two lines in the grating is 0.00045 cm.
What is diffraction grating?A diffraction grating is an optical element with a periodic structure used in optics that diffracts light into many beams that move in various directions. A type of structural coloring is the coloration that is emerging.
A good diffraction grating has 2210 lines/cm, that means,
The diffraction grating has 2210 lines in 1 cm.
Hence, the distance between two lines in the grating is = (1 ÷ 2210) cm
= 0.00045 cm.
Hence, the distance between two lines in the grating is 0.00045 cm.
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How does the ocean floor preserve evidence of past magnetic reversals.
(A) The ocean floor is uniformly old, preserving the Earth's 4. 6 billion history.
(B) Isotopic analysis of ocean core sediments help determine sea floor age and this can be used to infer past magnetism.
(C) Magnetic particles in basalt orient with the magnetic field in force at the Curie Point.
(D) Mantle hot spots are always oriented to the magnetic field
(B) and (C) both describe methods that are used to study past magnetic reversals on the ocean floor.
Isotopic analysis of ocean core sediments can help determine the age of the sea floor and reveal information about past magnetic fields.
Magnetic particles in basalt can also be used as a record of past magnetic fields, as they orient with the magnetic field at the time of solidification.
The ocean floor is not uniformly old, but rather new sea floor is constantly being formed at mid-ocean ridges and spreading away from these locations, preserving a record of Earth's magnetic history.
Mantle hot spots are not always oriented to the magnetic field, but rather are thought to be associated with the movement of large mantle plumes that are not directly controlled by the magnetic field.
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a police officer spots a speeding car traveling at 30 m/s as it passes. the officer immediately starts to drive, accelerating from rest at a rate of 6 m/s2. how far will the officer have to drive before catching up to the speeding car?
A 30 m/s fast automobile is spotted by a police officer as it travel. The police officer will have to drive a distance of 450 meters to catch up to the speedy car.
To determine the distance the police officer must drive to catch up to the speeding car, we can use the concept of relative velocity. The relative velocity of the police officer with respect to the speeding car while its travel is given by:
= v rel.
= [tex]v_o_f_f_i_c_e_r - v_s_p_e_e_d_e_r[/tex]
here,
v officer is the velocity of the police officer
v speeder is the velocity of the speeding car.
Since, the police officer is accelerating, we need to determine the velocity of the police officer as a function of time.
= v officer
= a * t
here,
a is the acceleration of the police officer
t is the time elapsed since the officer started driving.
We want to find the time t when the relative velocity is zero, meaning that the police officer has caught up to the speedy car.
= 0
= a * t - v speeder
Solving for t:
= t
= [tex]v_s_p_e_e_d_e_r / a[/tex]
Now that we have the time t,
= d
= [tex]v_o_f_f_i_c_e_r * t[/tex]
= [tex]a * t^2 / 2[/tex]
Replacing t from the previous equation:
= d
= [tex]a * (v_s_p_e_e_d_e_r / a)^2 / 2[/tex]
Replacing the values of
=> a = 6 m/s²
=> [tex]v_s_p_e_e_d_e_r[/tex] = 30 m/s:-
= d
= 6 * (30÷6)² / 2
= 450 m
So, the police officer will have to drive a distance of 450 meters to catch up to the speedy car.
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4. if the plates of a capacitor have different areas, will they acquire the same charge when the capacitor is connected across a battery?
The answer is yes, but the polarity of the will be different from the battery's. Considering that only the common space between the two plates will be taken into account.
A capacitor has the same charge on both plates, right?No charge is stored in capacitors. The imbalanced charge that is stored by capacitors. A capacitor's two plates will each have a charge of one coulomb, thus if one plate has one coulomb of charge and the other has one less, the total charge (added up across both plates) is zero.
What impact does a capacitor's capacitance have on the size of its plates?The capacity to store electric charge is higher on larger plates. In light of this, capacitance rises as plate area does. The electrostatic force generated between the plates is inversely correlated with capacitance.
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