Soli energy from the potential energy distance is x = 0.25m. Then plenty of horizontal position graph, we get to that when hor.
Time - period of oscillation, T=21m k Mass = 0.4 +10 = 114 kq = 14 kg 114 320 T = 0.415 second T = 0.42 second us hoolzent.
If you hang a shape from one point you'll find that the center of mass is always directly below that point. So if you hang a shape from two different points and draw a line down from each point the center of mass is where those lines intersect.
The product of the total mass of the system and the position vector of the center of mass equals the sum of the products of the masses of the two particles and their respective position vectors. The center of mass is a position defined relative to an object or system of objects.
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when alpha particles of kinetic energy e are incident on nuclei of gold atoms, the smallest distance between an alpha particle and a nucleus is x. what is the smallest separation distance when the alpha particle kinetic energy is doubled to 2e
smallest separation distance when the alpha particle kinetic energy is doubled to 2e is x/2.
what is distant of closest aproach?The distance of closest approach of two objects is the distance between their centers when they are externally tangent. The objects may be geometric shapes or physical particles with well defined boundaries
At distance of closest approach speed of -particles is zero.At the instant of closest approach the initial kinetic energy of the particle will be completely converted into electric potential energy
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A speck of dirt is embedded 2.50 cm below the surface of a sheet of ice having a refractive index of 1.309.What is the apparent depth of the speck, when viewed from directly above?
Consequently, 2.67 cm is the apparent depth.
to solve the equtions, s′=−(na/nb)s=−(1.0/1.309)(3.5 cm)=−2.67 cm
What is an optical refractive error?One of the most typical eye conditions is refractive error. It develops because when eye's ability to concentrate on exterior images effectively is disrupted. Refractive errors cause hazy vision, which can occasionally be so bad that it impairs vision.
The refractive effect is what?Refraction is the term for the curving of light as it passes through transparent materials (it also occurs with sound, water, and other waves). We are able to create lenses, magnifying glasses, prisms, and rainbows because to this bending caused by refraction. Even our eyes rely on this light bending.
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How many bit strings of length n, where n is a positive integer, start and end with 1s?.
There is two possible bits 0,1
What is meant by positive integer ?The positive integers are the numbers 1, 2, 3,..., which are also known as counting numbers or natural numbers. Any number greater than zero is a positive number.
A positive integer is defined as a whole number greater than zero. All counting numbers are included in the set of positive integers (that is, the natural numbers).
If an integer is greater than zero, it is considered positive. Integer that is positive Numbers are either counting numbers or natural numbers (for example, 1, 2, 3,...). The set of positive integers and the set of natural numbers are the same. As a result, we can define a positive integer as any whole number greater than zero, such as 1, 2, 3, 4, 5, or 6.
First bit = 1 way
second bit=2 way...….nth bit=1 way so total=1*2*2............1=2^n-2 ways where n>=2
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5. a certain wheel has a rotational inertia of 12 kgm2. as it turns through 5.0 rev its angular velocity increases from 5.0 rad/s to 6.0 rad/s. if the net torque is constant, its value is:
Basically, a measurement of an object's torque is 12 kgm², resistance to a change in its state of motion is what a is having constant value.
A body's resistance to a change in its angular momentum is measured by its mass moment of inertia. On the other hand, it is also possible to state that it is the change in angular momentum brought about by a unit change in angular velocity. The flexural stiffness of a beam is gauged by the area moment of inertia. A beam's resistance to bending deflections is essentially measured by this metric. Since it is independent of material, you could define it as a cross-section's ability to withstand applied bending.Hence , Torque= M( moment of inertia ) = 12 kgm².To know about moment of inertia -
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Straight voltage rated circuit breakers of the proper voltage rating (where the voltage rating is greater than the system line-line voltages) are allowed to be used on which of the following voltage systems?
1. 120V, single-phase, 2 W, solidly grounded
2. 120/240V, single-phase, 3W, solidly grounded
3. 208Y/120V, 3-phase, 4W, solidly grounded
4.240V, 3-phase, 3W, ungrounded or corner ground delta
5. 480Y/277V, 3-phase, 4W, solidly grounded
6.480V, 3-phase,3W, ungrounded or high resistance grounded
7. 600Y/347V, 3-phase, 4W, solidly grounded
8. 600V, 3-phase, 3W, Solidly grounded
a. 1 and 2
b. 2,3,4,5, and 6
c. all voltage systems apply
d. straight voltage rated circuit breakers are not to be used
Straight voltage rated circuit breakers are not to be used.
The difference in electric potential per unit charge between two sites in an electric field is referred to as voltage. The letters "V" or "E" are used to represent voltage in calculations and other mathematical contexts. The force that propels electrons through the circuit is produced by the voltage or potential difference.
A larger flow of electrons will cross the circuit with increased voltage and force. Without a difference in voltage or potential, electrons would randomly travel through a vacuum. Another name for voltage is electric tension. For example, low tension, high tension, and super tension cables' respective voltage handling capacities are referred to as 1, 11, and 33 kV.
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Two construction workers are attempting to pull a slab of concrete off of the ground. Each of the workers are pulling up with a force of 225 n, while the slab of concrete applies a gravitational force of 400 n in the opposite direction, remaining stationary. If the pulling forces applied to the slab of concrete are assigned a positive value, what is the net force of the scenario, and in which direction will the slab of concrete move?.
The slab will travel higher if the pulling force, which is each 225 N, is given a positive number, increasing the scenario's net force to 50 N.
What is the force overall or net force?
The resultant force is the total force exerted on an item. It represents the total force applied on the item.
There are three factors at work on the slap concrete:
400 N of gravitational force
225 N of pulling power was used by one construction worker.
Construction workers' 225 N pulling power 2
These forces are working against one another. While the pulling forces exerted by the construction workers are acting upward, gravitational force is acting downward.
The construction workers' pulling forces are now given positive values. The gravitational force will be given a negative number since it operates in opposition to the pulling forces.
Thus, the force that results may be computed as follows:
225 - 400+ 225 = 50 N
50 N of positive force is the outcome. The slab will move in upward direction.
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the mass is increased by a factor of four, keeping a and k constant. what is true about the total mechanical energy? choose the best answer.
When the mass is increased by a factor of four, keeping a and k constant mechanical energy increases by a factor of 4.
When mass is twice, what happens to the spring constant?The mass that is linked to the spring has no bearing on its force constant. As a result, it remains unchanged by the attached mass.
If the force is doubled and the mass remains constant, what will happen to the acceleration?The acceleration of an object rises proportionally to the force applied to it. We can state that force and acceleration are identical because the mass does not change when the acceleration rises. So, doubling the force also doubles the acceleration.
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TRUE/FALSE. two objects are said to be in thermal equilibrium. this means that the two objects have the same temperature have the same speed have the same thermal energy have the same pressure have the same internal energy
The two objects are said to be in thermal equilibrium when they have the same temperature, speed, pressure, and thermal and internal energy. This statement is true.
What is thermal equilibrium?When two components come into thermal contact but stop influencing one another’s temperatures, this is known as thermal equilibrium.
For example:
If a bottle of iced strawberry syrup is set on the table in the dining room, then the two objects are said to be in thermal contact. Meanwhile, they can be said to be in thermal equilibrium when the temperatures are the same after several hours.When a cup of hot coffee is on the table, then its temperature can be the same as the surrounding air after a period of time.Learn more about thermal equilibrium:
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What is the correct order of events in mitosis quizlet?.
The correct order of events in mitosis is prophase, metaphase, anaphase, and telophase.
Mitosis is the process by which a single cell divides to produce two daughter cells. The actual cell division occurs during this phase. This phase is also referred to as the M phase. The order of events involved in mitosis is:
Prophase: During this phase, the chromosome look condensed. At the end of the phase, the nuclear envelope, Golgi complex, and endoplasmic reticulum are not apparent.Metaphase: During this phase, the thick and coiled chromosomes start to line up on the metaphase plate.Anaphase: During this phase, the centromeres split and the chromatids start to separate. They then move towards the opposite poles.Telophase: During this phase, the chromosomes cluster at opposite spindle poles, and nucleolus, Golgi complex, and ER start to reform.To know more about mitosis:
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How would such a decrease effect the benefits on a salary of 54000?.
The Social Security payment might be reduced by 13% as one conceivable response to a declining Social Security payroll. Benefits would drop by $1,404 a year.
An example of a government benefitGovernment benefits include unemployment compensation, Supplemental Nutritional Support Program payments, Social Security benefits, and any other money or monetary value provided to a person by a Federal, State, or local government agency for the purpose of financial assistance.
An insurance check is what?A Benefits Check-up will inform you of your eligibility for assistance with Medicare premiums, prescription prices, utility bills, phone bills, and other charges. The programs for elder employment, property tax relief, home energy assistance, and nutrition and food stamp programs might also be included.
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a frame for a picture is 2 inches wide. the picture inside the frame is 4 inches lon-ger than it is wide. see the figure. if the area of the picture is 320 square inches, find the outside dimen-sions of the picture frame
If the area of the picture is 320 square inches, the outside dimensions of the picture frame would be 18 & 22 inches respectively.
What is area?It is the extent or measurement of a surface or piece of land.
As the question is mentioned about picture frame so it's going to be width times length to get the area of the picture frame or the picture itself.
How to calculate the outside dimensions of this picture frame?
Picture dimensions
width = x inches
length = x + 4 inches
area = 320 sq inches
X * (X+4) = 320
x^2 + 4x - 320 = 0
x^2 + 20x - 16x - 320 = 0
x (x+20) - 16(x+20) = 0
So X = 16, -20
dimension will not be negative so 16 is the only answer
picture dimension =
16 inches (width)
20 inches (length)
so the dimension of picture frame =
16 + 2 = 18 inches (width)
20 + 2 = 22 inches (length)
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TRUE/FALSE. in general, there are 6 useful kinematics equations that we use to describe 2d motion. in the case with a projectile, this reduces to 4 useful equations.
There is a vertical and a horizontal component to the motion in two-dimensional projectile motion, such as that of a football or other thrown object.
Given statement is True.
What is 2D kinematics projectile motion?One of the simplest types of motion is that with a constant velocity. When there is little to no friction present, such as when a hockey puck slides across ice, this type of motion—which is similar to that of a puck sliding across ice—occurs. An object needs to be moving at a constant speed and in the same direction to have a constant velocity. The object is limited to moving in a straight line by constant direction.In accordance with Newton's second law, an object should accelerate if a force is applied to it (F=ma in math). No external forces should be acting on the object if the acceleration is zero. The following is a mathematical illustration of this:[mathrm a=frac dv dt = 0 v=const.]
If an object is moving at a constant speed, the graph of distance vs. time (mathrmx vs. mathrmt) displays the same change in position over each unit of time. Accordingly, the motion of an object moving at a constant speed is depicted by a straight line: (mathrm)x=x 0+vt, where (mathrm)x 0) is the displacement at (mathrm)t=0.If you know the trajectory of an object over time, you can also calculate its velocity. We can determine the velocity from a graph like in by dividing the change in distance by the change in time. The velocity can be thought of as the slope of the line in terms of graphs. The direction of our slope, which represents the velocity, can be either positive or negative. This reveals the object's motion's direction.To Learn more About two-dimensional projectile motion refer to:
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Two two key problems for controlled fusion on earth are _______ and containment.
The two key problems for controlled fusion on earth are temperature and containment.
How does controlled fusion work?Controlled fusion means to use magnetic fields to contain and confine a high temperature plasma of tritium and deuterium by using a tokama vessel that contains a strong helical magnetic field that couriers charged particles along the vessel.
The difficulties involved with controlled fusion energy is the temperature it requires in order to produce the necessary amount of fusion power it needs from the ionized gas, plasma. It is also difficult to contain the radioactive elements that result from fusion.
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for a mass oscillating on a spring, at what positions do the (a) velocity and (b) acceleration of the mass have their maximum values?
a)At the mean position
b)At the extremes positions
What is acceleration?At the equilibrium position, the acceleration (a) has zeroed out and the velocity is at its highest point. This varying acceleration, which is always pointed in the direction of the equilibrium position and is proportionate to the displacement from the equilibrium position, is what distinguishes simple harmonic motion.
given that the motion of the mass is oscillation.
1. The mass has its highest velocity and lowest acceleration at its average location.
There will be no net force acting on the mass.
2. In the extreme position, the mass's acceleration and velocity are both at their maximum.
There won't be zero net force acting on the mass.
Consequently, at the mean position and at the extreme positions.
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which option best describes a wave moving faster?responses particles farther apart particles farther apart particles closer together particles closer together particles at low temperatures particles at low temperatures particles with low energy
The option that best describes a wave moving faster is when particles are closer together, 2nd option.
What increases the speed of a wave?Wave speed is determined by factors such as increase in temperature, frequency and the structure of the particles. When the temperature is increased the speed of waves increases but when reduced it lowers in speed.
Doubling the frequency of the source of the wave ensures an increase of wave speed and vise versa. Wave speed is travels faster in solid particles and slower in gas because they have closer packed particles.
The correct question is:
Which option best describes a wave moving faster?
responses:
particles farther apart
particles closer together
particles at low temperatures
particles with low energy
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Answer:
B particles are closer together
Explanation:
suppose that at a certain instant the velocity of the cylinder is v . what is its total kinetic energy, ktotal , at that instant?
The total kinetic energy of cylinder at that instant is (1/2)mv² where m is the mass of the cylinder.
Kinetic energy is actually acquired by the body when it is travelling with some speed. In this universe energy never creates never destroy, it actually converts from one form to another.
Kinetic energy has various types like:
Rotational kinetic energy Radiant kinetic energyThermal kinetic energySound kinetic energyElectrical kinetic energy.When any body is holding any particular height, in that case it has potential energy.
There are various theorems which are actually derived from the kinetic energy. One of them is work energy theorem.
We know very well that formula of kinetic energy is (1/2)mv²
Hence,[tex]K_t_o_t_a_l[/tex] is (1/2)mv².
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(Complete question) is:
Suppose that at a certain instant the velocity of the cylinder is v and mass is m. What is its total kinetic energy, [tex]K_t_o_t_a_l[/tex] at that instant?
Gamma rays and visible light are both choose. But gamma rays have choose. Than visible light.
While both electromagnetic radiation and visible light have energy, gamma rays have a higher energy level.
The electromagnetic spectrum is defined as the range of frequency of electromagnetic radiation and their respective wavelength. The electromagnetic spectra is following:
Gamma rays =[tex]10^{-14}[/tex] to [tex]10^{-12}[/tex]
X-rays = [tex]10^{-12}[/tex] to [tex]10^{-10}[/tex]
Ultraviolet rays = [tex]10^{-10}[/tex] to [tex]10^{-8}[/tex]
visible light = [tex]10^{-8} to 10^{-6}[/tex] (380 - 740 nm)
Infrared rays = [tex]10^{-6} to 10^{-4}[/tex]
Radar = [tex]10^{-4} to 10^{-2}[/tex]
FM = [tex]10^{-1} to 1[/tex]
Within the range there are frequency of both visible and gamma radiation.
From the electromagnetic spectra it is seen that the gamma have much shorter wave length than visible light.
and we know that
E = hc/λ
E is directly proportional to 1/λ
So, smaller wave length have more energy. Hence gamma rays have more energy than visible light.
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1. a weather balloon travels upward for 6 kin while the wind blows it 10 kin north and 8 km east. approximately what is its final displacement from its initial position?
Final displacement is 200 meters up and northeast of the launch, or 14.14 kilometers.
What distinguishes distance from displacement?Distance is the total distance along the route between any two points. Displacement is the direct distance between any two points when calculated via their shortest route. The direction is just not taken into account while calculating distance. The direction was taken into account when calculating displacement.
What is displacement defined in one word?The shortest (straight line) distance between a body's initial position and its final position—represented by an arrow pointing from the starting position to the final position—is referred to as the body's displacement when it moves from one position to another.
[tex]Final displacement = \sqrt{6^2 + 10^2 + 8^2} \\Final displacement = \sqrt{36 + 100 + 64} \\Final displacement = \sqrt{200}\\ Final displacement = 14.14 km[/tex]
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What are the 3 types of waves?.
The three types of wave motions are transverse waves, longitudinal waves and surface waves.
The type of wave in which the motion of particles in a medium is perpendicular to the wave's direction is known as a transverse wave. Example of it is ripples on the surface of water.
The type of wave in which the motion of particles in a medium is in the same direction as that of a wave is known as longitudinal wave. Example of it is an electromagnetic wave.
The type of wave that occurs along the boundary of any two media or substances is called a surface wave. Example of it is a seismic wave.
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the mass of solute per 100 ml of solution is abbreviated as (m/v). mass is not technically the same thing as weight, but the abbreviation (w/v) is also common.
The mass of solute in step with a hundred mL of solution is abbreviated as m/v.
Mass is not technically the equal issue as weight, however, the abbreviation (w/v) is also commonplace. Mass percent: The mass percent is used to express the awareness of an answer whilst the mass of a solute and the mass of a solution is given: Mass percentage=Mass of SoluteMass of answer×one hundred%
Mass the fluid, locate its extent, and divide mass with the aid of extent. To mass the fluid, weigh it in a container, pour it out, weigh the empty box, and subtract the mass of the empty container from the full field. To locate the volume of the fluid, you simply degree it very carefully in a graduated cylinder.
The common mass of one H2O molecule is eighteen.02 amu. The number of atoms is a precise range, and the number of moles is a specific quantity; they do now not have an effect on the range of vast figures. The common mass of 1 mole of H2O is 18.02 grams. that is stated: the molar mass of water is 18.02 g/mol.
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42. two masses, one with mass m, and the other with mass 2m, are attached to a light rigid rod as shown below. when the system is released from rest, the rod begins to rotate with an angular acceleration of:
The rod rotates with an angular acceleration of [tex]\frac{g}{11L}[/tex].
Calculation:
We know,
Torque = I × α
Where, I = moment of inertia
α = angular acceleration
Now calculating the net torque on the system:
Net torque = 3mgL-2mgL = mgL (in clockwise direction)
So, moment of inertia of the system is:
I = 2m[tex]L^{2}[/tex] + 9m[tex]L^{2}[/tex] = 11m[tex]L^{2}[/tex]
So, I = 11m[tex]L^{2}[/tex] , T= mgL
and T = Iα
α = [tex]\frac{mgL}{11mL^{2} }[/tex]
α = [tex]\frac{g}{11L}[/tex]
Hence, [tex]\frac{g}{11L}[/tex] is the correct answer.
What is torque?
A force that can rotate an object about an axis is referred to as torque. Just as in linear kinematics, force drives an object's rate of motion, torque drives an object's rate of motion toward an angular acceleration.
As a vector quantity, torque exists. Based on the force acting on the axis, the torque vector's direction is determined.
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What are the 7 types of electromagnetic waves in order of increasing frequency?.
They can be radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays, in that order of increasing frequency/decreasing wavelength.
The radio, visible light, and X-ray wave frequencies are all included in the electromagnetic (EM) spectrum. All electromagnetic waves are composed of photons, which move through space before interacting with matter in one way or another. EM waves are all instances of the same phenomena, notwithstanding the sciences' broad classification of them into seven fundamental categories.
The lowest frequency waves in the electromagnetic spectrum are radio waves. Other signals can be transmitted by radio waves to receivers, which then convert them into useful data. There are many things that emit radio waves, both natural and man-made.
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if you plot the absorbance measurements of solutions vs. their concentrations, what is the slope equal to? select one: wavelength, for any path length molar absorptivity, if the path length is 1 cm wavelength, if the path length is 1 cm molar absorptivity, for any path length
If you plot the absorbance measurements of solutions vs. their concentrations, the slope is equal to molar absorptivity, if the path length is 1 cm
A = ε c l
A = Absorbance
ε = Molar absorption coefficient
c = Molar concentration
l = Optical path length
A ∝ ε c
Since A is only proportional to absorptivity and and not wavelength, out of the given options only option 2 is correct.
Therefore, if you plot the absorbance measurements of solutions vs. their concentrations, the slope is equal to molar absorptivity, if the path length is 1 cm
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sort each item into the appropriate bin according to whether it is more common in spiral arms or about equally common within and between the spiral arms in a spiral galaxy's disk.
Each item is sorted into whether it is more common in spiral arms or about equally common within and between the spiral arms in a spiral galaxy's disk
More common in spiral arms
Ionization nebulaeDense, dusty gas cloudsStar formationYoung starsEqually common within and between spiral arms
Old starsAccording to spiral density wave theory, spiral arms are a long-lived structure and rotate like a rigid body with a given pattern speed, while the stars rotate around the Galactic center with a velocity that depends on the radius of the orbit.
Therefore, each item is sorted above into whether it is more common in spiral arms or about equally common within and between the spiral arms in a spiral galaxy's disk
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You are standing on an airless celestial body, one that is large enough to be approximately spherical. You have a cannon that you can adjust to launch a cannon ball at any speed you specify. Which of the following statements are true? Hint: There are 2 correct statements.
If you give it enough speed and aim it parallel to the ground the ball will go into a circular orbit. (Watch out, it may hit you in the back.)
If you launch the ball at low speed, it will move along an eccentric ellipse with the center of the body at one focus and most of the orbit underground.
If you give it enough speed and aim it parallel to the ground the ball will go into a circular orbit and provides angular acceleration is correct statement.
Angular acceleration is the rate of change of angular velocity over time. Radians per second is a frequently used measuring unit. Angular acceleration, also referred to as rotational acceleration, occurs when a body rotates. One can use a quantitative vector to express the change in angular velocity per unit of time.
An acceleration that is at an angle is a pseudo scalar. Positive angular acceleration is a rise in clockwise angular speed, whereas negative angular acceleration is a rise in counterclockwise angular speed. The acceleration vector is parallel to the plane of rotation since it is perpendicular to it. By increasing angular velocity clockwise, one can produce acceleration velocity that points away from the observer.
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a bird is flying with a speed of 16.6 m/s over water when it accidentally drops a 2.10 kg fish. the acceleration of gravity is 9.81 m/s 2 . if the altitude of the bird is 7.20 m and air resistance is disregarded, what is the speed of the fish when it hits the water?]
The speed of the fish is 20.411 m/s
We are given that,
Initial speed = u =16.6m/s
Mass of fish = m = 2.10kg
Altitude of the bird = h = 7.20m
Acceleration due to to gravity = a = 9.8m/s²
Thus equation of motion can be given by the formula ,
h = ut + (1/2)at²
If taking initial velocity is zero then ut = 0, thus above equation can be written as,
t² = (2 × 7.20m)/9.8m/s²
t² = 1.469s
t = 1.212 sec
Then the vertical velocity after 1.212sec can be calculated as,
Vy = u + gt
Vy = 0 + 9.8m/s²× 1.212sec
Vy = 11.8776m/s
Horizontal velocity will be same as the initial velocity,
Vnet = √u² +V²y
Vnet = √(16.6m/s)²+(11.8776m/s)²
Vnet = 20.411 m/s
Therefore , the speed of the fish would be 20.411m/s
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figure 8-19 gives the potential energy function of a particle. (a) rank regions ab, bc, cd, and de according to the magnitude of the force on the particle, greatest first. what value must the mechanical energy emec of the particle not exceed if the particle is to be (b) trapped in the potential well at the left, (c) trapped in the potential well at the right, and (d) able to move between the two potential wells but not to the right of point h? for the situation of (d), in which of regions bc, de, and fg will the particle have (e) the greatest kinetic energy and (f) the least speed?
Studying the graph of the Potential Energy of the particle,
(a))AB>CD=BC=DE
b)Mechanical Energy should not exceed 5 J
c)Mechanical Energy should not exceed 5 J
d)Mechanical Energy should not exceed 6 J
e)In region FG particle will have maximum Kinetic Energy
f)In region DE particle will have a minimum speed
(a) We know, x = -dU(x)/dx
The magnitude of the force is equal to the magnitude of the slope of the U(x) curve.
Consequently, the force's size increases with slope steepness:
AB > CD > BC = DE
(b) The particle is imprisoned and is unable to move past the location where its kinetic energy is zero or where its mechanical energy is equal to its potential energy.
So, the particle will be trapped within the left potential well if mechanical energy does not exceed 5 J.
(c) Particle will be trapped in the potential well at the right if mechanical energy does not exceed 5 J.
(d) Particle can move between the two potential wells but not to the right of point H if mechanical energy is between 5 J and 6 J, so it should not exceed 6 J.
(e) In the scenario in (d), the region FG is where the particle will have the most kinetic energy and the least potential energy.
(f) For the situation in (d) the particle will have the least speed where it has the least kinetic energy, which is where it has the greatest potential energy, which is in the region DE.
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Write a program that is given two integers representing a speed limit and driving speed in miles per hour (mph) and outputs the traffic ticket amount. Driving 10 mph under the speed limit (or slower) receives a $50 ticket. Driving 6 - 20 mph over the speed limit receives a $75 ticket. Driving 21 - 40 mph over the speed limit receives a $150 ticket. Driving faster than 40 mph over the speed limit receives a $300 ticket. Otherwise, no ticket is received.
The C program that gives the fine considering the speed limit and the velocity is given as follows:
int main(){
int velocity, limit;
scanf("%d\n%d\n", &velocity, &limit);
int fine;
if(velocity <= limit - 10)
fine = 50;
else if(velocity >= limit + 6 && velocity <= limit + 20)
fine = 75;
else if(velocity >= limit + 21 && velocity <= limit + 40)
fine = 150;
else if(velocity >= limit + 40)
fine = 300;
else
fine = 0;
printf("The fine is of: %d\n", fine);
return 0;
}
How to build the C program?The first features of the program are the standard notations of the C programming language, with the declaration of the main() section, as follows:
int main(){
return 0;
}
Then the variables are declared and read, as follows:
int velocity, limit;
scanf("%d\n%d\n", &velocity, &limit);
Then the fine variable is declared, the conditional calculates the fine, and the printf() command prints the fine.
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a prime mover is exerting a torque of 4 n-m on the shaft of a generator, driving it at 1781 rpm. find the mechanical power output of the prime mover in watts.
The mechanical power output of the primer mover in watts is 745.86 Watts.
The torque exerted by the prime mover is 4N-m.
The driving shaft is rotated with speed of 1781 rpm.
It means in one minute the shaft makes 1781 revolutions,
So, in one second,
1 second = 1781/60
In one revolution, the radian cover are 2π.
Hence, the angular speed of the shaft in radian per seconds is,
W = 1781/60 x 2π
W = 186.41 rad/s.
Now, the mechanical power output can be found as,
P = Torque x W
Putting values,
P = 4 x 186.41
P = 745.65 Watt.
So, the power output is 745.65 Watt.
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one result of the analysis of the properties of clusters of galaxies that is very surprising and difficult to account for is that
The result of the analysis which is difficult to account for is that a)the galaxies in each cluster appear to be moving away from each other, indicating that the clusters probably came into existence in separate mini Big Bang explosions. So, correct option is a.
A galaxy cluster, or a cluster of galaxies, is the structure that consists of anywhere from hundreds to thousands of the galaxies that are bound together by the gravity, with typical masses ranging from 1014 to 1015 solar masses. They are actually second-largest known gravitationally bound structures in this universe after galaxy filaments and were believed to be the largest known structures in this universe until the 1980s.
Hence, correct option is a.
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(Complete question) is:
one result of the analysis of the properties of clusters of galaxies that is very surprising and difficult to account for is that
a. the galaxies in each cluster appear to be moving away from each other, indicating that the clusters probably came into existence in separate mini Big Bang explosions.
b. the mass of the easily visible matter (stars, and so on) appears to be insufficient to hold the systems together gravitationally.
c. each cluster is isolated from other clusters by the vast void that has probably been cleared out by the gravitational field of the cluster
