the distance from one trough to another trough is called a wavelength.
What is wavelength?
Wavelength is a measure of the distance between consecutive peaks of a waveform. It is a fundamental physical property of all waveforms and can be used to describe the properties of light, sound, and other forms of energy. Wavelength is most often expressed in units of meters (m). Wavelengths of different types of radiation can range from extremely short distances (nanometers) to extremely long distances (kilometers). The shorter the wavelength, the higher the energy of the radiation. Wavelengths are important for determining the behavior of waveforms, such as the speed and direction of travel, the amount of energy the wave carries, and the way in which the wave interacts with other forms of matter. Wavelengths are also important in communication technologies, such as radio and television transmission.
Therefore, the distance from one trough to another trough is called a wavelength.
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a centrifuge in a biology laboratory rotates at an angular speed of 3,800 rev/min, clockwise (when viewed from above). when switched off, it rotates through 48.0 revolutions before coming to rest. assuming it is constant, what is the magnitude of angular acceleration (in rad/s2)?
The magnitude of the angular acceleration of the centrifuge is 3.78 rad/s^2.
Convert the angular speed from revolutions per minute (rpm) to radians per second (rad/s).
1 revolution = 2π radians
ω = 3800 rev/min * (2π rad/rev) / (60 s/min) = 398.11 rad/s
[tex]\theta=\omega i t + (1/2)\alpha t^2[/tex]
where θ is the angular displacement, ω_i is the initial angular velocity, α angular acceleration, t time.
At the instant the centrifuge is switched off, its angular speed is 398.11 rad/s. Angular displacement is 48 revolutions * 2π radians/revolution = 301.59 radians.
[tex]\omega f = \omega i +\alpha t[/tex]
[tex]0 = -398.11 + \alpha t[/tex]
[tex]t = 398.11/\alpha[/tex]
[tex]θ = \omega_i t + (1/2)\alpha t^2[/tex]
[tex]301.59 = (-398.11)(398.11/\alpha) + (1/2)α(398.11/\alpha)^2[/tex]
Simplifying this equation, we get:
[tex]301.59 = -398.11^2/\alpha + 398.11^2/2\alpha[/tex]
Multiplying both sides by 2α and rearranging, we get:
[tex]\alpha = 2 * 398.11^2 / (301.59 + 398.11^2/\alpha)[/tex]
Solving for α, we get:
[tex]\alpha = 3.78 rad/s^2[/tex]
Therefore, the magnitude of the angular acceleration of the centrifuge is 3.78 rad/s^2.
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0
Select the correct location on the image.
Objects A and B are brought close to each other. Object A will soon become positively charged. Identify the charge that must transfer for this situation to
occur.
+
A
Recet
Next
+
B
The charge that must transfer for object A to gone positively charged is the negative charge in object A.
What do you mean by the charge ?The physical characteristic of matter that causes it to feel a force when exposed to an electromagnetic field is called electric charge.
The two types of electric charges that protons and electrons most frequently carry are positive and negative charges. Charge movement is what produces energy.
An object can either be negatively charged or positively charged. An object is positively charged when it includes more protons than electron.
Thus, for object A to be positively charged, the charge that must shift for object A to become positively charged is the negative charge.
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Your question is incomplete, most probably your question was as below, and missing part is attach in image below.
Select the correct location on the image.
Objects A and B are brought close to each other. Object A will soon become positively charged. Identify the charge that must transfer for this situation to occur.
+
A
B
a horizontal wire of length 3.0 m carries a current of 6.0 a and is oriented so that the current direction is 50o s of w. the horizontal component of the earth's magnetic field is due north at this point and has a strength of 0.14 x 10-4 t. what is the size of the force on the wire?
[tex]1.6 x 10^{-4} N[/tex] of magnetic force is exerted towards the Earth on wires carrying current. surface.
What is magnetic force?
When electrically charged particles are in motion, a magnetic force, attraction, or repulsion results from their motion. It is the fundamental force behind phenomena like how electric motors operate and how magnets are drawn to iron. Among fixed electric charges, there are electric forces; among moving electric charges, there are both electric and magnetic forces. The influence of a magnetic field generated by one charge on another charge can be referred to as the magnetic force between two moving charges. The direction of the magnetic force acting on a moving charge is at a right angle to the plane formed by the direction of the charge's motion and the direction of the magnetic field around it.
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The load across a battery consists of two resistors, with values of 15 Ω and 47 Ω, connected in series. What is the equivalent resistance of the load?
The load across a battery consists of two resistors, with values of 15 Ω and 47 Ω, connected in series. 62 Ω is the equivalent resistance of the load.
A series circuit's overall resistance equals the sum of its individual resistances. The total of the individual voltage drops is equal to the voltage supplied to a series circuit. In a series circuit, the voltage drop across a resistor is exactly proportional to its size. When resistors are linked in series, they are connected one after the other.
To calculate the total overall resistance of a series of resistors connected in this manner, add the individual resistances together. This is accomplished by applying the following formula:
R = R₁ + R₂ + .... + Rₙ
In this problem, we have two resistors connected in series:
R₁ = 15 Ω
R₂ = 47 Ω
Now, the equivalent resistance of the circuit is
R = R₁ + R₂
= 15 Ω + 47 Ω
= 62 Ω
A series of n identical resistors of resistance R ohm have an effective resistance of X ohm when connected in series, whereas a parallel connection has an effective resistance of Y ohm. A parallel circuit's total current is the sum of the individual branch currents.
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An elevator suspended by a cable is descending at constant velocity. Name these forces.
An elevator is suspended by a cable, descending at constant velocity. Forces are tension force which acts upward and gravity force or elevator's weight, which acts downward.
What is meant by tension forces?In physics, tension is described as pulling force transmitted axially by the string, rope, chain, or similar object, or by each end of rod or similar three-dimensional object. Tension can also be described as the action-reaction pair of forces acting at each end of the said elements
Tension force falls under category of contact forces as it can only be exerted when there is a contact between cable and an object of consideration. This kind of force always pulls but never pushes.
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a person flying in a plane over easter island notices that the water around the island appears bluer than the surrounding water. what property of light waves causes the water to be a different color to the observer?
The property of light waves that causes the water around Easter Island to appear bluer than the surrounding water is called "scattering". Scattering occurs when light waves interact with particles in the atmosphere or in a medium such as water.
In the case of the water around Easter Island, the blue color is due to the scattering of sunlight by the water molecules in the ocean. Sunlight is composed of different wavelengths of light, and when it enters the ocean, the water molecules scatter the shorter, blue wavelengths more than the longer, red wavelengths. This means that more of the blue light is scattered in all directions, including towards the observer in the plane, making the water appear blue.
The blueness of the water is more noticeable around Easter Island because the island is surrounded by deep ocean water, which absorbs longer wavelengths of light and allows more of the blue light to be scattered. In contrast, the surrounding shallower waters or other parts of the ocean may have more particles, such as algae or sediment, that scatter more of the longer wavelengths of light, making the water appear a different color, such as green or brown.
Overall, the scattering of light waves by particles in the atmosphere or in a medium is a common phenomenon that can cause objects or substances to appear different colors to an observer. The specific color that is observed depends on the properties of the light waves, the properties of the particles, and the angle and distance of the observer.
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a boat (with a flat bottom) and its cargo weigh 6,200 n. the area of the boat's bottom is 5 m2. how far below the surface of the water is the boat's bottom when it is floating in water?
The minimum height necessary for a boat's bottom to float is 12 cm.
The weight of the item submerged in the liquid is resisted by the liquid's upward force. An item submerged in liquid always experiences higher pressure at the bottom than at the top. An item experiences a net upward force as a result of a fluid pressure difference. Lift is the term for this upward force. Understanding density and relativity is necessary in order to completely comprehend the idea of buoyancy.
Example: A ship has a flat, hollow bottom and is substantially less dense than water, yet it is built to be hoisted quite high. As a result, the ship moves as much water as is necessary to float.
Weight of displaced water in a well equals 6200 N.
Given that 1 m3 of water weighs 1000 kg, the weight is 1000 x 9.81, or 9810 N.
hence, the amount of water displaced is equal to 6200 / 9810 m3.
Needed depth is equal to volume/floor area/9 (6200/(98105)). m\s=0.126m\s=12cm
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you are rescuing a person who has fallen down a well. the rope with which you are lifting the person will withstand a maximum tension of 850 n without breaking. the weight of the person being lifted is 700 n. the magnitude of the largest acceleration with which you raise the person is
Magnitude of the largest acceleration with which you raise the person is calculated as 1.214 m/s².
What is tension?The tension in the rope is directly related to the acceleration of person being lifted according to Newton's second law of motion:
Given, maximum tension the rope can withstand is 850 N, and weight of the person being lifted is 700 N.
As tension = mass x acceleration
Since the mass of the person is constant, we can write this equation:
Acceleration = Tension / mass
Acceleration = 850 N / 700 kg
= 1.214 m/s^2
Therefore, the magnitude of the largest acceleration with which you can raise the person is 1.214 m/s^2.
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according to the kinetic theory, collisions between molecules in a gas_____
According to the kinetic theory of gases, collisions between the molecules in a gas are perfectly elastic.
It means that the total kinetic energy of the colliding molecules is conserved. This means that during a collision, the molecules may exchange energy and momentum with one another, but the total amount of energy and momentum remains constant.
In addition, according to the kinetic theory, the molecules in a gas are in constant random motion and travel in straight lines until they with each other or with the walls of their container.
The average kinetic energy of the molecules is proportional to the temperature of the gas, and the pressure of the gas is proportional to the number of collisions the molecules make with the walls of the container in a given amount of time. The kinetic theory provides a useful framework for understanding the behavior of gases at the molecular level.
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therm is a unit that is generally used to measure the energy contained in natural gas.
There are 100,000 British Thermal Units in a Therm. Throughout in the country, the measurement, and billing unit for natural gas usage is the therm. Thus, it is true.
What is the use of therm unit in energy measure?Therm gauges how much heat energy is generated by natural gas. As a result, we are able to compute the real energy consumed.
The therm, or Non-SI unit of heat energy, is equivalent to 1,000,000 BTUs and is a non-international standard of measurement. Btu is another way to write British thermal units.
Your cumulative use of natural gas is measured in therms. The British Thermal Unit, or BTU, measures the amount of heat required to increase one pound of water's temperature by one degree Fahrenheit. One therm is equivalent to 100,000 BTUs.
Therefore, it is true that An energy unit is a thermon. It's a term used to characterize natural gas's energy. 100,000 Btu make up one therm. More energy exists in a BTU than a calorie.
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three massive spheres are connected to a rod of very small mass. consider the moment of inertia of the system, first when it is rotated about sphere a, and then when rotated around sphere b. are the moments of inertia the same or different? justify your answer.
To calculate the moments of inertia of the system, we would need to know the masses and positions of the spheres relative to the axis of rotation.
The moment of inertia of an object is a measure of its resistance to rotational motion. It depends on both the mass and the distribution of mass within the object. When a system of spheres connected by a rod is rotated about one of the spheres, the distribution of mass in the system will be different compared to when it is rotated about a different sphere.
To determine whether the moments of inertia of the system when rotated about sphere a and sphere b are the same or different, we need to consider the distribution of mass in each case. If the system is symmetric about both spheres, then the moments of inertia will be the same. However, if the distribution of mass is different, then the moments of inertia will be different.
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in which scenario is the change in momentum greatest? coming to a stop by landing on the trampoline. coming to a stop by landing on the ground. the change in momentum is the same for both scenarios.
The change in momentum is greatest when coming to a stop by landing on the ground.
This is because when a person comes to a stop on the ground, the time of impact is shorter than when they come to a stop on a trampoline. Since the force is the rate of change of momentum, a shorter time of impact results in a greater force acting on the body, which leads to a larger change in momentum.
In contrast, when a person lands on a trampoline, the surface is more yielding and will absorb some of the force of impact over a longer time, resulting in a smaller force acting on the body and a smaller change in momentum.
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the energy driving the global water cycle is provided by the energy driving the global water cycle is provided by tides. wind. rotation of the earth on its axis. solar energy.
The energy driving the global water cycle is primarily provided by solar energy.
The Sun's energy heats the Earth's surface, causing water to evaporate from the surface and form water vapor in the atmosphere.
This water vapor then condenses to form clouds and precipitation, which returns water to the surface and completes the water cycle. Solar energy is the primary driver of temperature differences across the Earth's surface, which in turn creates atmospheric circulation patterns that distribute heat and moisture. Tides are a result of the gravitational forces of the Moon and Sun on the Earth's oceans, and wind is a result of atmospheric pressure differences caused by uneven heating of the Earth's surface. While tides and wind can affect the distribution and movement of water in the oceans and atmosphere, they are not the primary source of energy driving the global water cycle.
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two charged copper spheres are placed in space. if the charge on each sphere is halved and the distance between the spheres is also halved, the electric force between the spheres will
The distance between the spheres is halved. The force of repulsion between the two spheres, Therefore, the force between the two spheres is 0.243 N.
Let us consider, the charge on sphere A [tex]q_A[/tex] and on sphere B [tex]q_B[/tex] According to the question,
q_A= 6.5 × 10−7 C
q_B= 6.5 × 10−7 C
r=distance between A and B=50cm=50×10^-2
From Coulomb's law, the force between the two spheres is
F= [tex]\frac{9*6.5&6.5* 10^-5}{50*50*10^-4} = 1.521*10^-2N[/tex]
According to the question, if the charge is doubled
Distance between them is halved i.e., r'=r/2
F = 16F 16*1.521*10^-2N = 0.243 N
In physics, pressure is an influence that may exchange the motion of an item. A force can purpose an object with mass to alternate its velocity (e.g. moving from a nation of relaxation), i.e., to boost up. its miles are measured inside the SI unit of newton (N). force is represented with the aid of the symbol F (formerly P).
The unique form of Newton's 2d regulation states that the net pressure appearing upon an object is identical to the fee at which its momentum modifications with time. If the mass of the item is steady, this regulation implies that the acceleration of an item is immediately proportional to the internet force appearing on the object, is within the direction of the internet force, and is inversely proportional to the mass of the object.
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Complete Question:
Two insulated charged copper spheres A and B have their centers separated by a distance of 50 cm. What is the mutual force of electrostatic repulsion if the charge on each is 6.5 × 10−7 C? The radii of A and B are negligible compared to the distance of separation. (b) What is the force of repulsion if each sphere is charged double the above amount, and the distance between them is halved?
Question 13 of 25
Which of the following processes do not depend on spontaneous radioactive
decay?
Check all that apply.
A. radium paint that makes watch dials glow in the dark
B. the process of bone-scan imaging
C. using carbon-14 to determine fossil ages
D. the energy production of the sun
E. the energy production in nuclear reactors
The following processes which do not depend on spontaneous radioactive decay is radium paint that makes watch dials glow in the dark which is therefore denoted as option A.
What is Radioactivity?This is referred to as the property which is exhibited by certain types of matter of emitting energy and subatomic particles spontaneously.
Bone scanning is based on the spontaneous radioactive decay oftechnetium-pp methyldiphosphate and energy production of the sun involved nuclear fusion. However radium paint that makes watch dials glow in the dark do not depend on spontaneous radioactive decay as the glow is also added to substances for aesthetic effects whic would have deemed it harmful.
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what mass of fe and co₂ could be formed by the reaction of 0.22 mol of fe₂o₃ with 5.5 mol of co?
The mass of [tex]Fe[/tex] is 24.56g and [tex]CO2[/tex] is 726.165g could be formed by the reaction of 0.22 mol of [tex]Fe2O3[/tex] with 5.5 mol of [tex]CO[/tex].
Given the number of moles of [tex]Fe2O3[/tex] is = 0.22mol
The number of moles of [tex]CO[/tex] = 5.5mol
The reaction of given compounds Fe2O3 and CO is described as below:
[tex]Fe2O3 + 3CO --- > 2Fe + 3CO2[/tex]
Here, we can see that 1 mole 0f [tex]Fe2O3[/tex] and 3 moles of [tex]CO[/tex] produce 3moles of [tex]CO2[/tex].
As given [tex]Fe2O3[/tex] acts as the limiting reagent such that:
Moles of [tex]Fe[/tex] produced = 0.22 mol x (2 mol [tex]Fe[/tex] / 1 mol [tex]Fe2O3[/tex]) = 0.44 mol Fe
Moles of [tex]CO2[/tex] produced = 5.5 mol [tex]CO[/tex] x (3 mol [tex]CO2[/tex]₂ / 1 mol [tex]CO[/tex]) = 16.5 mol
We know the molar mass of compound [tex]CO2[/tex] is and [tex]Fe[/tex] is then,
mass of [tex]Fe[/tex] used = moles x molar mass of [tex]Fe[/tex] = 0.44 x 55.84 = 24.56g
mass of [tex]CO2[/tex] used = moles x molar mass = 16.5 x 44.01 = 726.165g
Hence, 24.56g of [tex]Fe[/tex] and 726.165g of [tex]CO2[/tex] are used in the reaction.
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at which time or times shown is the acceleration zero? 2. at which time or times shown is the kinetic energy a maximum? 3. at which time or times shown is the potential energy a maximum?
On analysis of the figure
1)- B, D
2. B , D
3. A, , C At bath position :- acceleration due to centripetal gravity - acceleration. Hence; net acceleration is zero.
When a point or object accelerates or decelerates, it is moving forward directly. While moving at the same speed, a circle moves faster because its direction is constantly shifting. All of these effects hasten the progress of every other movement.Acceleration is a vector quantity since it has both a magnitude and a direction. A vector quantity is also velocity. The change in velocity vector during a time interval divided by the time interval is the definition of acceleration. The instantaneous acceleration is given by the upper bound of the ratio of the change in velocity during the instantaneous period (at a certain time and location).
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the potential energy of an object u as a function of x looks like the plot shown above. 1)where is the force the biggest in the negative x direction?
The force on an object is the rate of decrease in potential energy. Hence, in the plot the region having a negative slope is the one with biggest force. Then, c is correct.
What is potential energy ?Potential energy of a body is generated by virtue of the position of the object. Hence, this form of energy is stored in the object when it is at rest. When the object starts moving its potential energy converts to kinetic energy.
Force is an external agent acting on a body to change its motion. The relation between potential energy force applied is given as:
F = - dU/dx
where potential energy U = mgh
then
F = - d/dx (mgh)
From the plot of potential energy,
F = -slope.
Hence, the x component with maximum slope have the biggest force. Here, it is the region C.
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The image related to your question is given here:
Is the flux of electric field through a closed surface is zero then?
If the flux of the electric field through the closed surface is zero then the electric field at points on that surface must be zero.
On the off chance that the electric field going through a shut surface is uniform and opposite to the surface, the electric transition through the surface will be zero. This happens on the grounds that the electric field lines enter and leave the surface at equivalent rates, prompting a net transition of nothing. Be that as it may, in the event that the electric field is non-uniform or not opposite to the surface, the electric transition through the surface won't be zero. The electric motion through a shut surface is connected with how much charge encased by the surface, as given by Gauss' regulation. In this way, deciding the electric motion through a closed surface can give data about the charge circulation inside the surface.
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A particle is moving along the x-axis such that its position is given by x=3t³-16t+8. Determine the velocity and acceleration of the particle at t=4s? At what time is the particle stationary?
The velocity and acceleration of the particle is 104 m/s and 72 m/s^2 respectively.
The particle is stationary at two times, t = √(4/3) s and t = -√(4/3) s.
How to calculate?Velocity: v(t) = dx/dt = 3(3t^2) - 16 = 9t^2 - 16
Acceleration: a(t) = dv/dt = 18t
The velocity and acceleration of the particle at t=4s:
v(4) = 9(4^2) - 16 = 104 m/s
a(4) = 18 * 4 = 72 m/s^2
The time when the particle is stationary is found using the equation
9t^2 - 16 = 0 for t:
9t^2 = 16
t^2 = 16/9 = 4/3
t = ± √(4/3)
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Do some research and find out the acceleration due to gravity on the Moon and on each planet
listed in the table. For each site, calculate the gravitational force that would act on a 70-kilogram
person on the surface of each site. Use your calculations to complete the table. Remember to
use the same units in each calculation.
Planet or Moon
Venus
Earth
Earth's Moon
Mars
Jupiter
Acceleration due to gravity
Force experienced by 70 kg
person
The acceleration due to gravity varies according to the size of the planet.
What is the list of the acceleration due to gravity on the moon and on all the planets?Here is a list of the acceleration due to gravity (g) on the Moon and on the planets in our Solar System:
Moon:
g = 1.62 m/s^2
Mercury:
g = 3.7 m/s^2
Venus:
g = 8.87 m/s^2
Earth:
g = 9.8 m/s^2
Mars:
g = 3.71 m/s^2
Jupiter:
g = 24.79 m/s^2
Saturn:
g = 10.44 m/s^2
Uranus:
g = 8.87 m/s^2
Neptune:
g = 11.15 m/s^2
It's worth noting that the acceleration due to gravity is affected by the mass and size of a celestial body. Larger and more massive objects have a stronger gravitational pull and therefore a higher acceleration due to gravity.
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Which of the curves in the figure shows an isobaric process?
A. horizontal
B. steep curve
C. a less steep curve
D. a very steep bend
Steep curve represents the isobaric processes in thermodynamics process.
In a thermodynamic process, an isobaric process is a process that occurs at a constant pressure. Therefore, the curve that shows an isobaric process would be a horizontal line on a graph where the y-axis represents pressure and the x-axis represents volume or temperature.
On the intuitive level, temperature is associated with notions hot” and cold”. The experience shows that if hot and cold bodies are brought in contact, their temperatures would eventually equilibrate. Consider a system in a thermal contact with the bath and make a quasi-static compression or expansion of the system plotting its states in the (P, V ) diagram.
As the bath is large, its temperature remains unchanged and as the process is slow, the temperature of the system will have the same unchanged value. In this way one obtains the isothermal curve, or isotherm, in the (P, V ) plot.
Hence the correct option is b.
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The first basic step in solving force and motion problems generally involves identifying all of the forces acting on an object. This tactics box provides a step-by-step method for identifying each force in a problem. 1. Identify the object of interest. This is the object whose motion you wish to study. 2. Draw a picture of the situation. Show the object of interest and all other objects—such as ropes, springs, or surfaces-that touch it. 3. Draw a closed curve around the object. Only the object of interest is inside the curve, everything else is outside. 4. Locate every point on the boundary of this curve where other objects touch the object of interest. These are the points where contact forces are exerted on the object. 5. Name and label each contact force acting on the object. There is at least one force at each point of contact: there may be more than one.
Crate is the subject of attention. Forces are applied to the crate via rope, wood board, and earth. Below is a picture that corresponds to this query.
Although feeble, gravitational force has a very vast range. Additionally, it always looks good. Since mass is its source, it operates between any two particles of matter in the universe.
Neutrino interactions and radioactive decay are both caused by the weak forces. It has a rather small range. It is quite weak, as its name suggests. Beta-decay, or the decay of a neutron into a proton, an electron, and an antineutrino, is brought on by the weak force.
The electromagnetic force has electric and magnetic effects, such as the attraction of bar magnets or the repelling of electrical charges that are similar to one another. Despite being considerably weaker than the strong force, it has a considerable range. It only works between particles of matter carrying an electrical charge and can be either attracting or repulsive. magnetism, electricity.
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1 The speeds of a car travelling on a straight road are given below at successive intervals of 1 second. Time/s Speed/m/s 0 0 1 2 2 4 3 6 4 8 Calculate a the average speed of the car in m/s b the distance the car travels in 4s c the constant acceleration of the car. 2 If a train travelling at 10 m/s starts to accelerate at 1 m/s2 for 15s on a straight track, calculate its final speed in m/s.
The average speed = 2 m/ s
The distance traveled in 4s is 16m
the constant acceleration is
2. the final speed is 25 m/s
How to solve for the valuesAverage speed = distance / time
= 2 + 4 + 6 + 8 / 1 + 2 + 3 + 4
= 20 / 10
= 2
The distance in 4s:
we would solve using the formula
ut + 1/2at^2
0 + 1/2 * 2 * 4^2
= 16 meters
2. If the train is at 10 m /s for 15 s, we would use the formula
v = u + at
u = 10
a = 1
t = 15
then
v= 10 + 1× 15
=v= 25 m/ sec
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A 10 kg red ball travels with a velocity of 6 m/s toward a 8 kg blue ball that is traveling at a speed of 11 m/s in the opposite direction. What is the velocity of the blue ball after collision if the velocity of the red ball after collision is 6 m/s? (Note: the balls have changed direction.)
Assuming the red ball was moving in a positive direction when it first collision with the blue ball, the blue ball's velocity after the impact is -9 m/s (indicating it is moving in the opposite direction).
A collision is what?When two bodies, such as two pool cues, a golf club and a ball, a hammer and a nail, two railroad cars when united, or a falling object and a floor, abruptly and forcefully meet in close proximity to one another, it results in a collision, also known as an impact.
Before the impact, the system's total momentum is:
p before = m1v1 + m2v2
Substituting the given values:
p before = (10 kg)(6 m/s) + (8 kg)(-11 m/s) = -2 kg m/s
Following the collision, the system's overall momentum is:
p after = m1v1' + m2v2'
The law of conservation of momentum states that the total momentum of the system before and after the collision is the same, so:
p before = p after
Using the given values as substitutes, find v2':
-2 kg m/s = (10 kg)(6 m/s) + (8 kg)(v2')
v2' = (-2 kg m/s - 60 kg m/s) / 8 kg
v2' = -9 m/s
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for a person wearing these shoes, what??s the maximum angle (with respect to the horizontal) of a smooth rock that can be walked on without slipping?
The maximum angle (with respect to the horizontal) of a smooth rock that can be walked on without slipping is 50°.
Friction is a force that acts between two rough shells, whenever one tries to move one face against the other. When a force F pushes an object in one direction, there appears a disunion force in the contrary direction. Before stir thresholds, we're in the governance of static disunion.
Once the applied force is increased, the static disunion increases at the same rate, until it's reached a outside, denoted by maximum static disunion, and defined by the formula
[tex]f_s = \mu_s N[/tex]
The static measure between the shoe and the smooth gemstone is μs= 1.2
and hence the maximum static disunion is given by,
[tex]f_s = \mu_s N[/tex]
where N is the magnitude of the normal force. The forces acting on the shoe are
The gravitational force wielded by the Earth, of magnitude
F = mg
The normal force N wielded by the face of the gemstone, directed typically outwards from the gemstone.
The( static) disunion, wielded by the gemstone, in the direction overhead the gemstone( opposed to the tendency of slipping).
N - Fcosθ
N = Fcosθ
f = μFcosθ,
μFcosθ = Fsinθ
μ = sinθ/cosθ
Given by is the maximum (or critical) angle.
[tex]\theta_m_a_x = arctan\mu_s = arctan(1.2) = 50^0[/tex]
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Complete question:
Shoes made for the sports of bouldering and rock climbing are designed to provide a great deal of friction between the foot and the surface of the ground. Such shoes on smooth rock have a coefficient of static friction of 1.2 and a coefficient of kinetic friction of 0.90. For a person wearing these shoes, what is the maximum angle (with respect to the horizontal) of a smooth rock that can be walked on without slipping?
where would you expect terrestrial planets to form in the solar nebula?
You expect terrestrial planets to form in the solar nebula in the inner part of the protoplanetary disk.
The solar nebular disc theory proposes that rocky planets develop in the inner region of the protoplanetary disc, near the frost line, where the temperature is high enough to prevent the condensing of water ice and other components into grains.
As a result, only rocky grains coagulate, and later, rocky planetesimals are created. These circumstances are thought to exist in the inner 3–4 AU region of the disc of a star similar to the Sun.
According to the so-called nebular hypothesis for the origin of the solar system, the Sun and planets were formed by condensation from the solar nebula, a gaseous cloud.
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5. Express the following quantities in their basic dimensions: a) Electric resistance (2), (R = V = q = 1xt) b) Universal Gas constant (J/K mol) 1
Answer:
a) Electric resistance: The basic dimensions of electric resistance are resistance (R) which has the dimension of [mass] x [length]^2 / [time]^3.
b) Universal Gas Constant: The basic dimensions of the Universal Gas constant (R) are [energy]/[temperature x amount of substance]. These dimensions can be expressed as [mass] x [length]^2 / [time]^2 / [temperature] x [amount of substance].
Explanation:
if a voltage of 13 v moves 1.25 c of charge between two points? round the final answer to one decimal place.
If a voltage of 12 V moves 1.25C of charge between two points then charge must be moved with 15 J in joules of energy.
Here, we need to determine how much energy 12 V expends to transport a charge of 1.25 C between two places.
Voltage, which is defined as the effort or energy necessary to transfer a unit charge between two places, is known to drive electrons in a circuit. It can be calculated mathematically by dividing work/energy by charge.
Thus, we have the equation shown below:
[tex]V= \frac{E}{Q}[/tex]
If we rearrange the formula above, we obtain:
[tex]E=(V).(Q) (1)[/tex]
Here,
V→ Voltage
E→ Energy
Q→ Charge
Once the values are entered into equation number 1, we will obtain:
[tex]E = ( 12 V).( 1.25 C ) = 15 J[/tex]
As a result, we discovered that the amount of energy required to move the charge is 15 J in joules.
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Correct question:
How much energy is expended, in joules, if a voltage of12 V moves 1.25C of charge between two points?
A wave with a frequency of 3kHz was found to
oscillate 440 times.
Over what time period was it measured?
Give your answer to 2 decimal places.
The time interval is 0.15 s
What is the frequency of oscillation?The frequency of oscillation refers to the number of cycles of a periodic waveform that occur per unit of time, usually measured in hertz (Hz), which represents cycles per second.
Based on the information that can get in the question that has been put before us here and now;
Note that;
Frequency = Number of oscillations/Time
3 * 10^3 = 440/time
Time = 440/3 * 10^3
Time = 0.15 s
Thus we can see from the calculation that the time that is taken is 0.15 s
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