Answer:
[tex] \Huge{\bold{20 Hz}} [/tex]
Explanation:
The frequency of the wave given it's velocity and wavelength can be found by using the formula
[tex] frequency = \frac{v}{ \lambda} [/tex]
where [tex] \lambda [/tex] is the wavelength
From the question
v = 500 m/s
[tex] \lambda [/tex] = 25 m
We have
[tex]f = \frac{500}{25} = 20 \\ [/tex]
We have the final answer as
20 HzHope this helps you
On vacation, your 1250-kg car pulls a 550-kg trailer away from a stoplight with an acceleration of 1.60 m/s2 . What is the net force exerted by the car on the trailer? What force does the trailer exert on the car? What is the net force acting on the car? Assume that the positive x axis is directed toward the direction of motion.
The force, net force exerted was found to be 2000N
Define force ?
In mechanics, force is any action that seeks to sustain or modify the motion of a body or to deform it. The idea of force is usually defined in terms of Isaac Newton's three laws of motion, as stated in his Principia Mathematica (1687). Newton's first principle states that a body at rest or moving at a regular pace in a straight line will continue in that condition unless some force is applied to it.
The second law states that when an external force applies on a body, it causes the body to accelerate (change in velocity) in the direction of the force. The acceleration is related to the magnitude of the external force and inversely proportional to the amount of matter in the body. According to Newton's third law, when one body exerts a force on another, the second body exerts an equal force on the first.
the cars weigh was =1250kg
trailer weight was = 550 kg
acceleration=1.60
a) F=ma
=(550)(1.60)
=880 N
b) F=ma
The net force was found to be =880 N
c) F = ma
(1250) (1.6)
=2000N
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a swimmer in an inner tube would like to ride the longshore current 0.18 km along the beach to the concession stand. the current is moving at 7.7 m/min. how long will it take the swimmer to reach the concession stand?
The distance to the concession booth is 1.386 kilometers, or kilometers per hour. A swim meet's length is influenced by a number of variables.
Why do swim meets last so long?Swim meets can last all day, but not always. A swim meet's length is influenced by a number of variables. such includes the number of participants, the number of events, and the age of the swimmers. The length of the meet might increase with the number of participants and events in a day.Use the distance formula, d = st, or distance equals speed times time, to find the distance. Given that they both reflect a certain amount of distance per unit of time, such as miles per hour or kilometers per hour, rate and speed are comparable.Explanation:
d = 0.18 * 7.7 = 1.386km/hr.
The distance to the concession booth is 1.386 kilometers, or kilometers per hour.
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A 90 kg fullback running east with a speed of 5m/s is tackled by a 95.0 -kg opponent running north with a speed of 3m/s. (a) Explain why the successful tackle constitutes a perfectly inelastic collision. (b) Calculate the velocity of the players immediately after the tackle. (c) Determine the decrease in mechanical energy as a result of the collision. Account for this decrease.
The collision is precisely inelastic in nature since both runners were trapped together following the successful tackle.
A Speed question and answer is what?Speed is defined as the ratio of the distance traveled to the time required to cover that distance. Speed is a constant of proportionality since it just has a component and no magnitude.
How do you answer a question about speed?Speed is calculated by dividing the distance traveled by the amount of time it required to get there. Divide the distances by the speed to find the passing time. Combine the speed by the time to find the distance. These equations may appear shortened as s=d/t
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a 0.7 kg engineering book has a length l of 29.0 cm and a width w of 17.0 cm. the mass moment of inertia of a rectangle through its center is (1/12)m(l2 w2)
The mass moment of inertia is 11873.0833
What is inertia?Einstein interpreted Mach's revelation to indicate that since gravity was/is the only known long-range force that could produce such effects, inertia would emerge as a "inductive" gravitational effect of cosmic matter in any correctly constructed theory of gravity.
Inertia is greater for lighter objects than for heavier ones. An object's bulk or weight have no bearing on its inertia. Every object has inertia, but only when it is at rest. The inertia of lighter items is lower than that of heavier ones.
width b = 17.0
length d = 29.0
The mass moment of inertia is d* b* b*b / 12
= 29.0 * 17.0 * 17.0 * 17.0 / 12
= 11873.0833
The unifying force of the universe is inertia. Literally. Without it, matter would not possess the electric forces required to create its current configuration. The heat and kinetic energy created by moving particles work to resist inertia.
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Arigid assembly consists of three identical uniform bars with an extra mass attached to one of them, as shown. The assembly can spin freely in the vertical plane about the point connecting the bars. Initially, the assembly is at rest in position A The extra mass is then given a very slight disturbance. Shortly after the assembly is observed to be in position B. Between positions A and B the angular momentum of the system is conserved, because the net force is zero conserved, because the net torque is zero conserved, because the rotational inertia is constant not conserved, because of the torque provided by gravity E) not conserved, because of the torque provided by the force at the prvot pont
Any item that can be rotated has the property of rotational inertia. It is a scalar value that indicates how challenging it is to alter an object's rotational velocity around a specific rotational axis.
The role of mass in linear mechanics is analogous to that of rotational inertia in rotational mechanics. Indeed, an object's mass affects its rotational inertia. Additionally, it relies on how that mass is distributed in relation to the axis of rotation.
It becomes harder and harder to adjust the rotational velocity of the system as a mass deviates from the axis of rotation. This makes intuitive sense given that the mass is now moving around the circle with additional momentum due to its increased speed.
The angular momentum remains constant, or is conserved, in the absence of torque application, or when the net torque is zero.Because there is no friction on the surface of this inelastic collision and no torque is produced by the external force acting on the nail, angular momentum is conserved.To know more about rotational inertia
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Twp bullets have masses of 3.0g and 6.0g, respectively. both are fired with a speed of 40.0m/s. which bullet has more kinetic energy? What is the ratio of their kinetic energies?
Formula: KE=1/2 x m x v^2
Relating Wavelength to energy level differences during your work with the model set of energy levels, if you were trying to get a line to move from the green part of the spectrum toward the orange or red end of the spectrum, would you drag its energy level to be closer to or farther from the lowest energy level?
The dark lines represent the light frequencies that the gas has absorbed. The energy levels of the electrons increase as photons of light are absorbed by them. The opposite of emission is this
What is wavelength?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).
What is energy level?Any discrete value from a set of total energy values for a subatomic particle constrained by a force to a finite space or for a system of such particles, such as an atom or a nucleus, is referred to as the energy level, also known as the energy state, in physics.
What is absorption spectrum?In addition to emitting photons, atoms can also absorb photons. The electron in the lower energy level can absorb the photon and go up to the higher energy level if a photon strikes an atom and its energy is equal to the difference between its two electron energy levels.
It absorbs light at wavelengths of 410 nm (violet), 434 nm (blue), 486 nm (blue-green), and 656 nm in the visible region of the spectrum (red). Every absorption line relates to a distinct electron jump.
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A steel beam hangs from a cable as a crane lifts the beam. What forces act on the beam?.
Gravity and the Tension in the cable are the forces acting on the beam.
What is gravity force?
Gravity is the force that practically all material objects in the universe experience. From subatomic particles to clusters of galaxies, gravity affects objects of all sizes. The movement of planets around the sun and the free fall of apples from trees are both caused by this force.
What is tension force?A force throughout a medium's length is called tension, and in this context the force is carried particularly by a flexible medium like a rope or cable. Tension is measured in Newton per meter in the SI system. The forces acting on the beam are
So, there are two force acting on the cable is gravity and tension force.
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To measure the depth of the ocean, a ship sends a short pulse of sound downwards, which is reflected from the ocean floor and arrives back at the ship 2 seconds after it was sent. If the bulk modulus of the sea water is 0.21 x 1010 N/m2 and the density of sea water is 1024 kg/m3, what is the speed of sound in the sea water and what is the depth of the ocean at that location.
How fast sound travels through water at sea level and how deep the ocean is 1.432 x 10³m.
Given
Bulk modulus ( B ) = 0.21 x 10¹⁰ N/ m²
density of sea le ) = 1024 kg / m³
Speed of sound In sea water ( v ) = √B/е
V =√0. 21 x 10¹⁰/1024
V = 1-.432 x 10³ m/s
The Speed of sound has to travel at the bottom of sea and get reflected back to ship itself the distance travel by Sound is 2x
So
(t = 2 see )
2x = vt
2x = 1 . 432 x 10³ x 2
x = 1.432 x 10³m
By observing the velocity of this compressed area as it passes through the medium, we can determine the speed of sound. The sound wave travels at a speed of approximately 343 meters per second, or 767 miles per hour, in dry air at 20 degrees Celsius.
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a 7 kg mass oscillates on a spring with 10 j of total energy. what is the maximum speed of the mass in m/s?
The maximum speed of the mass is Vmax = 1.69m/s.
E = 10 J and m = 7kg
Vmax = [tex]\sqrt{\frac{2 * 10}{7} } = 1.69[/tex]
Vmax = 1.69 m/s
The maximum device electricity takes place when the vibrating mass reaches its maximum top and the item's velocity is maximum. while the pendulum hits its lowest factor, capability power is converted into kinetic power.
This is because the pendulum is accelerating because it hits its lowest factor. consequently the kinetic power of the pendulum is maximum at the lowest factor. the entire electricity of the block and spring device is identical to the sum of the ability electricity saved within the spring and the kinetic energy of the block proportional to the rectangular of the amplitude.
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sometimes it is said that water is removed from clothes in the spin dryer by centrifugal force throwing the water outward. is this correct? discuss
This statement is untrue. A pseudo force is centrifugal force. It's not true. Since there is a hole in the spin dryer's drum, there is nothing to cause the water to move in a circular motion or exert a high centripetal force.
What is a centrifugal force in simple words?The force that pushes an item rotating away from its axis of rotation is known as centrifugal force. The propensity of an object travelling in a circle to move away from the circle's center is known as centrifugal force. When viewed from a rotating frame of reference, the centrifugal force in Newtonian mechanics appears to act on every object. It is pointed away from the origin of the coordinate system, along an axis that is perpendicular to the axis of rotation.
Where is centrifugal force used?When rotating coordinate systems are used to analyze rotating objects, such as centrifuges, centrifugal pumps, centrifugal governors, and centrifugal clutches, as well as centrifugal railways, planetary orbits, and banked curves, the concept of centrifugal force can be applied.
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g based on our understanding of the universe, which is true about the expansion of space?
When scientists refer to the cosmos as expanding, they indicate that it has been expanding ever since the Big Bang, when the universe first began.
Explain about the universe?Everything in the cosmos is all the matter and energy that are present in space are included. Additionally, it naturally encompasses you and time itself. The other planets and their numerous moons, in addition to Earth and the Moon, make up the cosmos.
Due to their frequent confusion, it's also critical to understand the distinction between space and the universe. All celestial bodies, matter, energy, galaxies, solar systems, and other such physical entities are collectively referred to as the universe. Space, on the other hand, describes the bare space in between all of these things.
As of right now, there is no evidence to support the existence of multiple universes; instead, what we can see points to the existence of just one, namely, our own.
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how to shape the front's armhole for a knitted vest so that the fabric does not bunch up at the armhole
For having a perfect fronts armhole one need to measure the armhole depth.
How to measure armhole depth?
To measure armhole depth one trick is to wrap a measuring tape from the shoulder to the armpit.
One can take measuring tape down over the front of the shoulder and arm, pausing once it hits the center of armpit. This measurement is referred to as your Armhole depth.
Formula for measuring the correct armhole
An armhole is a sleeve that joins body and shoulder by which the sleeve meets the body at the underarm.
There is a Formula for measuring the correct sleeve and each specific site has its own table to measure the perfect armhole
In Centimeters the formula is
Bust/6 + 3.5 to 6cm
In inches the formula is
Bust/6 + 1.37 to 2.3 in
The usual width of the armhole is 4-6cm
If a person is XS -S most likely they will have 4cm of width for their sleeve
And if the person is M, L or XL, most likely they will have width of 5-6cm
Hence this can also be taken as reference.
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different light sources give different ranges of wavelengths associated with the colors of light. colors fade from one to the other gradually, therefore it is hard to establish exact ranges. nevertheless, it is useful to know how the approximate wavelength ranges correspond to the main colors of light. the visible light area of the electromagnetic spectrum can be found in the chempendix. match each wavelength range to its corresponding color.
The range of the wavelength 650-740 nm is of the colour red, 390-420 nm is of the colour violet, 510-550 nm is of the colour green, 450-480 nm is of the colour blue, 570-600 nm is of the colour yellow, 600-640 nm is of the colour orange.
The visible region of the electromagnetic spectrum ranges from higher frequency (violet) to lower frequency (red).
All the forms of electromagnetic radiation fall within the electromagnetic spectrum.
Electro magnetic energy travels in waves that contains a broad spectrum from radio waves to gamma rays. The human eye can detect a very small portion of this spectrum known as visible light ranging from 380-700 nano metres.
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In order to produce beats, the two sound waves should have
a) slightly different amplitudes
b) the same frequency
c) the same amplitude
d) slightly different frequencies
The two sound waves should have a rhythm in order to create beats.
Option d). slightly different frequencies
The frequency of an event is its repetitions per unit of time. In contrast to spatial frequency, it is also sometimes referred to as temporal frequency, and in a contrast to angular frequency, it is also referred to as ordinary frequency. Hertz (Hz), which equals one (event) per second, is the unit of frequency. The reciprocal of frequencies is period, which is defined as the length of time for one cycle of a recurring occurrence. For instance, if a heart beats 120 times per minute (2 hertz), its period (T), or the space between beats, is half a second (60 seconds divided by 120 beats). In science and engineering, frequency is a crucial specification parameter.
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what is the term for periods of accelerated physical development with associated changes in height and weight?
The term is growth.
This term is used to define the physical development of height and weight in an individual.
The growth depends on an individual.
During the growth the hands and feet are likely to grow. This develops the height of any individual and the weight is also defined as the individual grows.
It is the continuously changes of the characteristics of the body, most noticeable in height and weight.
The ages 13-15 and 17-18 the two major brain growth spurts occur. In times of growth spurts the changes is visible during the first year of puberty.
Therefore, the term for periods of accelerated physical development with associated changes in height and weight is growth.
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A flea gets its thrills by riding on the outer edge of a golden oldies record album of radius 15 cm as it is being played with a rotational period of 1.8 seconds. a) what is the flea’s average speed? b) what is the flea’s centripetal acceleration?
A. The average speed of the flea is 0.52 m/s
B. the centripetal acceleration of the flea is 1.8 m/s²
A. How do I determine the average speed?
We'll begin by obtaining the angular velocity. This can be obtained a follow:
Period (T) = 1.8 sPi (π) = 3.14Angular velocity (ω) =?ω = 2π/ T
ω = (2 × 3.14) / 1.8
ω = 3.49 rad/s
Finally, we shall determine the average speed. This is shown below:
Angular velocity (ω) = 3.49 rad/sRadius (r) = 15 cm = 15 / 100 = 0.15 mAverage speed (v) = ?v = ωr
v = 3.49 × 0.15
v = 0.52 m/s
Thus, the average speed is 0.52 m/s
B. How do I determine the centripetal acceleration?
Haven obtain the average speed in the calculation made above, we can determine the centripetal acceleration as follow:
Average speed (v) = 0.52 m/sRadius (r) = 0.15 mCentripetal acceleration (a) =?a = v² / r
a = (0.52)² / 0.15
a = 1.8 m/s²
Thus, the centripetal acceleration is 1.8 m/s²
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A 68 kg object, starting from rest, travels from point A to point B at a rate of 30 m/s in 2 hours. What is the applied force on the object?
Answer:
[tex]\huge\boxed{\sf F = 0.28\ N}[/tex]
Explanation:
Given Data:Mass = m = 68 kg
Velocity = v = 30 m/s
Time = 2 hours = 2 × 60 × 60 = 7200 s
Required:Force = F = ?
Formula to be used:[tex]\displaystyle F = \frac{mv}{t}[/tex]
Solution:[tex]\displaystyle F = \frac{(68)(30)}{7200} \\\\F = \frac{2040}{7200} \\\\F = 0.28 N\\\\\rule[225]{225}{2}[/tex]
What are the 3 types of electromagnetic waves?.
The 3 types of electromagnetic waves are
Radio Waves
Infrared Waves
Ultraviolet (UV) Waves
What is electromagnetic waves ?A magnetic field and an electric field vibrate together to produce electromagnetic waves, also known as EM waves. In other words, magnetic and electric fields that are oscillating make up electromagnetic waves (EM).
And we call these waves "electromagnetic" because they have magnetic fields in addition to electric fields. We also call them "waves" because they propagate outward in accordance with wave equations, just like all the other waves we've seen.
Transverse motion characterises electromagnetic waves. Magnetic and electric fields that are perpendicular to each other oscillate to form electromagnetic waves. The speed of electromagnetic waves through vacuum is the same, 3 x 10^8 m/s.
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15.69 ... a sinusoidal transverse wave travels on a string. the string has length 8.00 m and mass 6.00 g. the wave speed is 30.0 m>s, and the wavelength is 0.200 m. (a) if the wave is to have an average power of 50.0 w, what must be the amplitude of the wave? (b) for this same string, if the amplitude and wave- length are the same as in part (a), what is the average power for the wave if the tension is increased such that the wave speed is doubled?
Amplitude of wave at power of 50 W is 7.07 cm and the average power of the wave after increasing the temperature 8 times the initial power.
(a) Length of the string (l) = 8 m
Mass of the string (m) = 6 g
Wavelength of the string (λ) = 0.2 m
Wave speed (v) = 30 m/s
Average power (P) = 50 W
Mass per unit length (μ) = (6 × 10⁻³ ) / 8 = S × v
Angular speed (ω) = 2 × π × f
= (2 × π × v ) / λ
= (2 × π × 30) / 0.2
Now, Average power (P) = (1/2) × ρ × ω² × A² × S × v,
Thus, Amplitude (A) =
= (1/ω) × √((2 × P)/ (ρ × μ))
= A = [ (0.2) / 2×π × 30 ] √ ((2×50×8)/ (6 × 10⁻³ × 30 ))
= A = 0.0707 m
= A = 7.07 cm
(b) Average power = P
Wave speed = V
Using the equation of Power = (1/2) × ρ × ω² × A² × S × v,
We can see that P ∝ ω² × v
= P ∝ v² × v
= P ∝ v³
Thus, when wave speed of string is doubled, the average power will be 8 times.
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find parametric equations and a parameter interval for the motion of a particle that starts at and traces the circle
In accordance with the stated assertion, the circle is traced counterclockwise rather than clockwise.
What is the motion process?A member's formal request to do anything is called a motion. The foundation of group decision-making is a motion. They direct discussion toward the choice being made. A motion should often be worded to take action or to convey an opinion.
What kinds of motion are there?According to the path of motion, linear movement is further divided into the following categories: Rectilinear motion refers to motion that follows a straight line as its course. Motion that follows a curved course is referred to as curvilinear motion.
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how far from the front of the car will the cm be when two people sit in the front seat 2.35 m from the front of the car, and three people sit in the back seat 3.35 m from the front? assume that each person has a mass of 65.0 kg .how far from the front of the car will the cm be when two people sit in the front seat 2.35 m from the front of the car, and three people sit in the back seat 3.35 m from the front? assume that each person has a mass of 65.0 kg .
The Centre of Mass will be 2.74 m from the front.
The CM of an empty 1150 kg car is 2.35 m behind the front of the car.
New position of the center of mass = (1150*2.70 + 130*3.75+ 195*2.35)/(195+130+1150) = 2.7462 m from the front
CM new = 2.603 from the front.
Thus, the Centre of Mass will be 2.74 m from the front.
The center of mass is a position defined relative to an object or system of objects. It is the average position of all the parts of the system, weighted according to their masses. For simple rigid objects with uniform density, the center of mass is located at the centroid.
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a firefly glows by the direct conversion of chemical energy to light. the light emitted by a firefly has peak intensity at a wavelength of 550 nm
A firefly glows by the direct conversion of chemical energy to light is 7.5625 almost equal to 8 molecules.
What is chemical energy ?
chemical dynamism, Chemical bonds within substances contain energy. Exothermic chemical reactions are those that release chemical energy during the process, frequently in the form of heat. Some of the heat energy that is used to drive reactions that need to be heated up for them to continue may be stored as chemical energy in newly created bonds.
What is intensity?
As well as being the same as the energy density times the wave speed, intensity is the amount of energy a wave transports over a surface of a given area in a unit of time. Watts per square meter is the most used unit of measurement. A wave's power and amplitude will determine its intensity.
Here wavelenght (w) = 550 * 10^-9 m
we know that, speed of light(c) = ffrequency(f) * w
therefore f = (299 792 458 / 550 * 10^-9)
f = 5.45 * 10^14 s^-1
also we know that E = plancks constant(h) * f
E = 6.62606957(29)×10-34 * 5.45 * 10^14 s^-1
E = 3.63 * 10^-19 J
we know taht we require 3.63 * 10^-19 J amount to produce one photon.
0.30*1.6*10^-19 J of energy is provided by 1 molecule of ATP.
therefore, 1 J is provided by = 1 / 4.8*10^-20 molecules.
therefore, 3.63 * 10^-19 J is provided by = 3.63 * 10^-19*(1 / 4.8*10^-20 ) molecules
=7.5625 almost equal to 8 molecules. ((Used unitary method))
Therefore, a firefly glows by the direct conversion of chemical energy to light is 7.5625 almost equal to 8 molecules.
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A 60kg student is standing atop a spring in an elevator that is accelerating upward at 3.0 m/s^2. The spring constant is 2.5 X 10^3 N/m. By how much is the spring compressed?
The spring is compressed by 0.312 m
What is the difference be spring and string ?A spring is a single element of stiffness that is a component of a system; the simplest type is a spring-mass-damper with one degree of freedom. A string that is being pulled creates a complete, continuous system with its own internal mass and stiffness.
The spring constant is defined as the force per unit length change. There is no doubt that the length will change when force is applied if a string is used in place of the spring. Only the external tension, which is equal to the external pull, will be transmitted by the string.
[tex]F - mg\\= maF= 60(3+ 10)\\F= 780 N\\F= kx\\780= 2.5*10^3\\X= 780*10^-3/2.5\\X= 78^1^0^-^2^/^2^.^5\\X= 780*10^-^2^/^2^5\\X= 31.2*10^-^2\\X= 0.312 m.[/tex]
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in which order would a geologist most likely investigate subsurface geology in exploring for fossil fuels? put the first step on top. quizleet
The order that a geologist most likely investigate subsurface geology in exploring for fossil fuels are:
1. Look at already exposed surfaces.
2. Perform geophysical surveys.
3. Drill an exploration hole.
How are fossil fuels formed by geological processes?Hydrocarbon molecules like coal, natural gas, and oil are examples of fossil fuels. They are created when buried, ancient creatures decompose anaerobically. Natural gas and oil often form from sea sediments, whereas coal typically arises from terrestrial sediments.
Therefore, The study of the physical characteristics and locations of rock and soil found below the surface of the ground is known as subsurface geology. The materials beneath man-made structures are among the most important reasons to learn about the subsurface.
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See full question below
in which order would a geologist most likely investigate subsurface geology in exploring for fossil fuels? put the first step on top.
Look at already exposed surfaces.
Drill an exploration hole.
Perform geophysical surveys.
kinematics can answer all of the following questions except what was the maximum speed of the baseball? how rapidly did the baseball slow down when it hit the ground? why does a baseball drop to the ground down after being thrown? how far did the baseball fly? in what direction did the baseball travel? next
kinematics can answer all the following questions except, Why does a baseball drop to the ground down after being thrown?
What are the objectives of kinematics?The goal of kinematics is to provide a description of the spatial positions of bodies or systems of material particles, as well as the speeds and velocities of those particles (acceleration). Motion descriptions are only conceivable for particles with limited motion, or particles travelling along predetermined pathways, when the causing forces are ignored. Forces control the path's form in unrestrained or free motion.A list of places and related times would make a good description of the motion of a particle travelling along a straight line. A mathematical equation that expresses position in terms of time would be necessary for a continuous description.To learn more about kinematics, refer to
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a 0.27-kg stone is held 1.2 m above the top edge of a water well and then dropped into it. the well has a depth of 5.2 m.
The answers to the questions are (a) 3.17J, (b) -13.75J, and (c) -16.7J, respectively.
What does it mean to have depth?The degree to which a person taking the appropriate, intellect, wisdom, insight, empathy, etc., as demonstrated by their actions or by some other mental product, such as a scholarly paper, argument, piece of art, etc. a substantial amount of such wisdom, understanding, etc. usually depths.
Briefing:Utilize U=mgy, wherein y is evaluated in relation to a standard. Here, y is calculated relative towards the well's top edge, where y is set to zero.
(a) y = 1.2m: U=mgy = (0.27kg)(9.80m/s²)(1.2m)=+3.17J
(b) y = –5.2m: U=mgy = (0.27kg)(9.80m/s²)(–5.2m) = −13.75J
(c) ΔU = Uf − Ui = (−13.75J)−(3.17J) = −16.92 = −17J
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because the force acting on the atom i is the negative gradient of the interatomic potential energy, we write
The more potential energy a particle has, the more negative work the field does.
What kinds of energy are there?Chemical, electrochemical, radiation, muscular, thermal, and nuclear fuel are the six main types of energy. Different forms including electrochemical, acoustic, electromagnetic, and others might be addressed in other studies.
Why is energy so crucial?Energy is a major factor in our everyday routines even though it is an essential need for humans. Our human-made structures are not only heated by energy, but also cooled by it. To lift you finger, climb out of bed, or even stroll down main sidewalk, you need energy.
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at what rate, in megawatts, must energy be dissipated when the full current is switched off in 65 ms?
The energy dissipation should be 65 Kilo joule.
Power is nothing but measurement the rate of electrical energy transfer by an electric circuit per unit of time. It is denoted by P and measured using the SI unit of power which is watt or one joule per second. Electric power is commonly supplied by electric batteries and produced by electric generators.
So, P = ΔE/Δt
here P = 1 megawatt and time is 65 x 10^-3 sec
putting the values we get that
1 x 10^6 = ΔE/ 65 x 10^-3
ΔE = 10 ^ 6 x 65 x 10 ^-3
ΔE = 65 x 10 ^3
ΔE = 65 K Joule
hence the energy dissipation should be 65 Kilo joule.
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over the course of a day (twenty-four hours), what is the angular displacement of the second hand of a wrist watch in radians?
The angular displacement of the second of a wrist watch is d)9050 radians. So, correct option is d.
We know very well that angular displacement is defines as the point through which any line or body rotates in any specified direction.
In 1 minute number of seconds are =60
In 60 minutes number of seconds are =60×60=3600
In 24 hours number of seconds are =24×60× 60=86400
So, we have total number of seconds as 86400.
Now, we know that second hand clock completes one revolution of the clock in 60 seconds.
It means, Angular displacement in 60 second = 2π radians
Angular displacement in 1 second = 2π/60=π/30 radians
Therefore, angular displacement in 86400seconds =(π/30)×86400=2880π radians,
which is equivalent to =2880×(22/7)=9050.42radians.
Hence, angular displacement is 9050 radians
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(Complete question) is:
over the course of a day (twenty-four hours), what is the angular displacement of the second hand of a wrist watch. Express your answer in radians?
a)1440radians
b)2880 radians
c)6070 radians
d)9050 radians
