Answer:
The 10X objective is use for the identification of actual size of histology tissues and 4X magnification is best for observation of most tissues slides
Explanation:
4X magnification is best for observation of most tissues slides because it has an objective lens that have lower power and have great high field overview which make it very easier to locate specimens on the slide. It is use to get the overview of histology slides. It is use to showcase more detailed observations about histology.
The 40X objective is use majorly to identify tissue , to observe the finer details and study tissue organization on the histology slide.
Isobaric process is one carried out at constant (A) Speed (B) Volume
(D) Temperature (E) Acceleration.
Answer:
Isobaric process is one carried out at constant Pressure.
Explanation:
An isobaric process is a process that takes place under constant pressure. The first law of thermodynamics can be written as follows for the Isobaric Process:
ΔQ = ΔU + PΔV
where,
ΔQ = Heat Transfer
ΔU = Change in Internal Energy of the System
P = Constant Pressure
ΔV = Chang in Volume of the System
In an isobaric process, heat supplied to the system is utilized to increase its internal energy and to do work.
Hence, all the options given are incorrect. The correct option is:
Isobaric process is one carried out at constant Pressure.
A skater glides off a frozen pond onto a patch of ground at a speed of 1.8 m/s. Here she is slowed at a constant rate of 3.00 m/s. How fast is the skater moving when she has slid 0.37 m across the ground?
Answer:
1.01 m/s
Explanation:
Given
initial speed, u = 1.8m/s
acceleration, a = -3.00m/s² (it's negative because the skater slowed down)
distance, s = 0.37m
Required
Determine the final velocity (v)
This will be solved using the following equation of motion
\(v\² = u\² + 2as\)
Substitute values for u, a and s
\(v\² = 1.8\² + 2 * -3 * 0.37\)
\(v\² = 3.24 - 2.22\)
\(v\² = 1.02\)
Take square roots
\(v = \sqrt{1.02\)
\(v = 1.00995049384\)
\(v = 1.01 m/s\) (Approximated)
The final speed of the skater when she has slid 0.37 m is 1.0 m/s.
The given parameters:
Speed of the skater, v = 1.8 m/sacceleration of the skater = 3.0 m/s²Displacement of the skater = -0.37 mThe final speed of the skater when she has slid 0.37 m is calculated as follows;
\(v_f^2 = v_i^2 + 2ad\\\\v_f ^2 = 1.8^2 + 2(3)(-0.37)\\\\v_f^2 = 1.02\\\\v_f = \sqrt{1.02} \\\\v_f = 1.0 \ m/s\)
Thus, the final speed of the skater when she has slid 0.37 m is 1.0 m/s.
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2. The muscles on the right side of your body are controlled by what part of your brain? the right cortex the right hemisphere the left cortex the left hemisphere
Answer:
Motor cortex
Both hemispheres have a motor cortex, with each side controlling muscles on the opposite side of the body (i.e, the left hemisphere controls muscles on the right side of the body).
Explanation:
The table shows the relationship between the masses of two objects, the distance between the two objects, and the gravitational force between the objects. A 4-column table with 5 rows. The first column labeled Mass of Object 1 (kilograms) has entries 1, 2, 2, 3, 9. The second column labeled Mass of Object 2 (kilograms) has entries 1, 1, 2, 3, 3. The third column labeled Distance between Objects 1 and 2 (meters) has entries 1, 1, 2, 1, 3. The fourth column labeled Gravitational Force Objects 1 and 2 (Newtons) has entries 1 G, 2 G, 1 G, 9 G, 3G. Which conclusion is supported by the data in the table? An increase in the mass of an object causes the same decrease in the gravitational force. An increase in the distance between the objects causes the same decrease in the gravitational force. An increase in the distance between the objects causes a greater change in the gravitational force than the same increase in mass. An increase in the mass causes a greater change in the gravitational force than the same increase in the distance between the objects. Brainlyest for correct answer!
Answer:
C
Explanation:
edge 2020... Using elimination it's the only one that makes sense.
The statement third "an increase in the distance between the objects causes a greater change in the gravitational force than the same increase in mass" is correct.
What is gravitational force?The gravitational force is a force that attracts all mass-bearing objects. The gravitational force is referred to as attractive because it always strives to pull masses together rather than pushing them apart.
As we know, the gravitational force is given by:
\(\rm F = \dfrac{Gm_1m_2}{r^2}\)
Where, G is the gravitational constant.
m1 and m2 are masses.
r is the distance between the masses.
From the data given in the table, shows that:
The gravitational force is indirectly proportional to the square of the distance.
Thus, the statement third "an increase in the distance between the objects causes a greater change in the gravitational force than the same increase in mass" is correct.
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how to get acceleration working with veliocity?
Answer:
Acceleration (a) is the change in velocity (Δv) over the change in time (Δt), represented by the equation a = Δv/Δt. This allows you to measure how fast velocity changes in meters per second squared (m/s^2).
Explanation:
Acceleration can be calculated by dividing the change in velocity (measured in metres per second) by the time taken for the change (in seconds). The units of acceleration are m/s/s or m/s 2.
Activities:
1. Name the instrument that is used to measure Air Pressure.
2.Explain what is Cyclone and Anticyclone
Answer: barometer.
A cyclone is a storm or system of winds that rotates around a center of low atmospheric pressure. An anticyclone is a system of winds that rotates around a center of high atmospheric pressure.
According to the principal of superposition,
Answer:
the resultant wave is the algebraic sum of all the waves reaching that particular point at a given time.
Explanation:
imagine two or three waves reaching a particular particle x at the same time. The particle will vibrate those waves and give out or transmit a resultant wave which is the algebraic sum of the incoming two waves. If both the waves have the same amplitude and phase, the resultant wave will be amplified. However if the waves have the same amplitude and equal but opposite phase then the resultant wave will be a straight line
is this correct and why
Answer:
correct ooooooooooooo
Which example represents a class 2 lever? (1 point)
O salad tongs picking up salad
O tweezers plucking hairs
O a car door being opened and shut
a screwdriver opening a paint can
The example that represents a class 2 lever is: D. a screwdriver opening a paint can.
Which example represents a class 2 lever?The load is situated in a class 2 lever halfway between the fulcrum and the effort. The screwdriver's resting place against the paint can's rim serves as the fulcrum in this scenario.
The paint can's lid serves as the load, and the force exerted by the hand on the screwdriver's handle serves as the effort. A class 2 lever can be identified by the load being situated between the fulcrum and the effort.
Tweezers, salad tongs, and opening and closing a car door are not examples of class 2 levers. Class 1 levers include things like tweezers and salad tongs, whereas class 3 levers include things like car doors that open and close.
Therefore the correct option is D.
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a boy pushes a lever down 2 meters with a force of 75 newtons. The box at the other end with a weight of 50 newtons move up 2.5 meters
A boy pushes a lever down 2 meters with a force of 75 newtons. The box at the other end with a weight of 50 newtons move up 2.5 meters. The efficiency of this machine is 83.33%.
What is efficiency?The energy lost during a machine's operation due to heat and friction is measured as the machine's efficiency. Given that work is the transformation of kinetic energy, a machine's efficiency can be expressed as the ratio of output work divided by input work less work wasted due to friction and heat. It is unitless.
Using the formula:
Efficiency=\(\frac{O}{I}\)×100
where,
O is output work and,
I is the input work.
Work done= Force × displacement
Output work = 50 × 2.5 = 125J
Input work = 75 × 2 = 150J
Substituting the values and solving for efficiency:
Efficiency = 83.33%
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Complete question:
A boy pushes a lever down 2 meters with a force of 75 Newtons. The box on the other end weighs 50 Newtons and moves up 2.5 meters. What is the efficiency of this machine?
If you hold a 28.02 cm² square plane mirror 40.26 cm from your eyes and can just see the full length of a 8.9 m flag pole behind you, how far are you from the pole?
ANSWER:
66.8 m
STEP-BY-STEP EXPLANATION:
Given:
Area of mirror = 28.02 cm²
We make a sketch of the situation in order to solve the problem:
We calculate the height as follows:
\(\begin{gathered} h=\sqrt{28.02}=5.3\text{ cm} \\ \\ \text{ therefore:} \\ \\ AC=\frac{5.3}{2}=2.65\text{ cm } \\ \\ \text{ For ABC:} \\ \\ \tan\theta=\frac{2.65}{40.26} \end{gathered}\)Now, we determine for AEF that it has the same angle as ABC, like this:
\(\begin{gathered} \tan\theta=\frac{EF}{EA}=\frac{\frac{890}{2}-2.65}{d} \\ \\ \text{ Therefore:} \\ \\ \frac{2.65}{40.26}=\frac{\frac{890}{2}-2.65}{d} \\ \\ \text{ we solve for d:} \\ \\ \:d=\frac{40.26}{2.65}\cdot\left(\frac{890}{2}-2.65\right)\: \\ \\ d=6720.38\text{ cm} \\ \\ d=67.2\text{ m} \\ \\ \text{ Therefore:} \\ \\ D=67.2-0.4026=66.7974\equiv66.8\text{ m} \end{gathered}\)It is located 66.8 meters from the pole
PLEASE HELP ME
1) If a bus travelling at 20 m/s is subject to a steady deceleration of 5 m/s2, how long will it
take to come to rest?
Answer:
Bus will take 4 seconds before it comes to rest.
Explanation:
Initial Velocity of bus = u = 20 ms⁻¹
Final Velocity of bus = v = 0 ms⁻¹
Deceleration of bus = a = -5 ms⁻²
Time taken by bus before it comes to rest = t = ?
Using the equation formula
a = (v - u)/t
-5 = (0 - 20) / (t)
t = -20/-5
t = 4 sec
Therefore, Bus will take 4 seconds before it comes to rest.
In the absence of a gravitational field, you could determine the mass of an object (of unknown composition) by:
A) applying a known force and measuring it's acceleration.
B) measuring the volume.
C) weighing it.
Answer:
A) By applying a known force, and measuring it's acceleration.
Explanation:
This is actually something that astronauts do in space as a mathmatical exercise when calculating the mass of an object since F = m × a.
Once the force, and acceleration are applied, the only unknown is the mass which can be solved by dividing force over acceleration. This is because inertial mass is equal to gravitational mass.
An object has a gravitational
potential energy of 750 Joules and is
sitting on a shelf 3.0 meters above
the ground. What is the object's
mass?
[?] kilograms
Answer:
potential energy = (mass × height × acceleration due to gravity.)
750 = mass × 3 × 10
hence, mass = 750/30 = 25 kg.
In a DC generator, the generated emf is directly proportional to the
In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.
This relationship is described by the equation for the generated emf in a DC generator:
Emf = Φ * N * A * Z / 60
Where:
Emf is the generated electromotive force (in volts),
Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),
N is the number of turns in the armature winding,
A is the effective area of the armature coil (in square meters),
Z is the total number of armature conductors, and
60 is a constant representing the conversion from seconds to minutes.
From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.
The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.
The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.
Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.
By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.
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A block of mass 1.0 kg rests on a horizontal surface. The frictional coefficients for the block and surface are μs=0.50 and μk=0.40. (a) What is the minimum horizontal force required to move the block? (b) What is the block’s acceleration when this force is applied?
The 25N is the minimum horizontal force required to move the block, 20N force is applied.
What is mass ?The amount of matter in a body is referred to as its mass. The kilograms is the kilograms, which is the SI unit of mass (kg). Mass is defined as: Mass = Density/Volume.
What is force ?A body can change its state of rest or motion when an external force acts on it. It is directed and has a magnitude.
Therefore, 25N is the minimum horizontal force required to move the block, 20N force is applied.
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The reynolds number is an important number in fluid mechanics. it is the ratio of the intertial forces to viscous forces. T/F
True. A Reynolds number is an important number in fluid mechanics. it is the ratio of the inertial forces to viscous forces.
The Reynolds number is a dimensionless quantity that is used to determine whether the flow pattern in a pipe is laminar or turbulent. The ratio of inertial forces to viscous forces defines the Reynolds number.
If the value of Nr is between 0 and 2000, the liquid flow is streamlined or laminar. The flow is turbulent above 4000, and the flow of the liquid is unstable between 2000 and 3000, alternating between the laminar and turbulent flow.
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Projectile Problems – Type 2:
1. The photograph below shows a basic projectile at several locations on its trajectory.
a) List the location(s) where the vertical component of the velocity would be zero.
b) What is the vertical component of the acceleration at location #3?
c) What is the horizontal acceleration of the projectile?
d) Identify the location where the vertical displacement would be zero.
e) Identify the location with the maximum displacement.
f) Rank each location in terms of the projectile's speed (highest to lowest).
Answer:
Explanation:
( a ) At top position , vertical component of velocity will be zero .
So answer is position no (3)
b )
At position (3) which is the topmost position , acceleration is acting due to gravity , so it will be downwards.
c )
Horizontal component of acceleration at all points will be zero because gravity acts vertically downwards.
d )
Vertical displacement will be zero at position ( 1 ) and ( 5 )
e )
Displacement is maximum at extreme position , ie at position ( 5 )
f )
Speed is highest at position (1) and it is lowest at position ( 3 )
From highest to lowest
( 1 ) , ( 2 ) , ( 3 )
Part 1
1. Consider the potential energy diagram shown below. This graph shows the chemical potential energy in a reaction system over time. The y–axis is potential energy in kilojoules. The x–axis is the reaction progress, or time.
a. Does this graph represent an endothermic or an exothermic reaction? Explain your answer.
b. What is the enthalpy change, ΔH, for this reaction? Show your work.
c. What is the activation energy, Ea, for this reaction? Show your work.
Part 2
2. In a particular chemical reaction, the energy of the reactants is 30 kJ and the energy of the products is 5 kJ. The maximum energy of the system is 40 kJ. Use this information to answer questions a – d.
a. Sketch a potential energy diagram for this reaction. Make sure to label the energy of the reactants, the energy of the products, the activation energy, and the enthalpy change for the reaction. (Note: You may use the graph provided below or sketch your own. Resize as needed.)
b. What is the activation energy for this reaction?
c. What is the enthalpy change for this reaction?
d. Is this reaction endothermic or exothermic? Explain your answer in two ways: first, using the energy values, and second, by referring to the shape of the graph.
Part 3
3. The coating on the head of a match is highly flammable. When it burns, it releases a great deal of energy. However, before the match can burn, it must gain a small amount of energy from a spark. That spark is typically produced by striking (rubbing) the match head against a rough surface.
a. Sketch a potential energy diagram that represents the striking and burning of the match. Remember to label the diagram with the energy changes that occur. (Note: you do not have to use actual energy values. And you may use the graph provided below or sketch your own.)
b. Describe a potential energy diagram that represents the striking and burning of the match.
1a) Energy is absorbed, and the reaction is endothermic.
1b) The products have higher potential energy, the enthalpy change is positive, indicating an endothermic reaction.
1c) The peak of the potential energy diagram.
2a) The activation energy labeled as the difference between the reactants and the peak
2b) The activation energy can be determined by calculating the difference between the reactants.
2c) The enthalpy change can be calculated by finding the difference between the energy of the reactants and the energy of the products.
2d) The reaction is exothermic. In terms of the graph's shape.
3a) A decrease in potential energy as the products form.
3b)This indicates that a small amount of energy from the spark is needed to overcome the activation energy barrier
Part 1:
1a. To determine if the reaction is endothermic or exothermic, we need to analyze the potential energy diagram. If the products have lower potential energy than the reactants, it indicates that energy is released, and the reaction is exothermic. Conversely, if the products have higher potential energy than the reactants, it suggests that energy is absorbed, and the reaction is endothermic.
1b. The enthalpy change (ΔH) for the reaction can be calculated by comparing the potential energy of the products and the reactants. If the products have lower potential energy, the enthalpy change is negative, indicating an exothermic reaction. If the products have higher potential energy, the enthalpy change is positive, indicating an endothermic reaction.
1c. The activation energy (Ea) can be determined by examining the energy difference between the reactants' potential energy and the peak of the potential energy diagram.
Part 2:
2a. Since the energy of the reactants is 30 kJ, the energy of the products is 5 kJ, and the maximum energy of the system is 40 kJ, we can sketch a potential energy diagram with the reactants at 30 kJ, the products at 5 kJ, the activation energy labeled as the difference between the reactants and the peak, and the enthalpy change as the difference between the reactants and products.
2b. The activation energy can be determined by calculating the difference between the reactants' energy and the peak of the potential energy diagram.
2c. The enthalpy change can be calculated by finding the difference between the energy of the reactants and the energy of the products.
2d. Based on the energy values, if the energy of the products is lower than the energy of the reactants, the reaction is exothermic. In terms of the graph's shape, if the potential energy decreases from reactants to products, it indicates an exothermic reaction.
Part 3:
3a. The potential energy diagram for the striking and burning of a match can be sketched to show the initial potential energy of the reactants, a peak representing the activation energy, and a decrease in potential energy as the products form.
3b. The potential energy diagram would show an initial higher potential energy for the reactants, a peak representing the activation energy required for the reaction to occur, and a decrease in potential energy as the products form. This indicates that a small amount of energy from the spark is needed to overcome the activation energy barrier, leading to the release of a greater amount of energy during the burning process.
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Plzz answer this question correctly
Answer:
by reducing friction.....
7. What do the following scientists study:
a. Geologists -
b. Zoologists -
c. Anthropologists -
d. Botanists -
e. Chemists -
f. Physicists -
on line papper
These scientists are known to study different aspects of science. The study they engage are;
What do scientists studya. Geologists - study the physical structure and composition of the Earth, including rocks, minerals, and natural resources.
b. Zoologists - study animals, their behavior, physiology, evolution, and distribution.
c. Anthropologists - study human societies, cultures, and behavior across time and space.
d. Botanists - study plants, their physiology, structure, ecology, and evolution.
e. Chemists - study the composition, properties, and behavior of matter and the chemical changes it undergoes.
f. Physicists - study the fundamental principles that govern the behavior of matter and energy in the universe, including mechanics, thermodynamics, electromagnetism, quantum mechanics, and relativity.
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Which of the following occurs when a liquid’s thermal energy is increased?
A. The particles break away from one another.
B. The particles give off energy.
C. The particles slow down.
D. The particles move closer together.
Answer:
I think the answer is c. The particles slow down.
A 9.00 kg bomb mass is sitting stationary. The bomb explodes and M1 (3kg) moving to the left with a velocity of
140 ms (v₁). The remaining portion flys to the right. Determine the v2 (velocity) it flys off with
A 9 kg explosive detonates into two fragments, each weighing 3 kg and 6 kg. The kinetic energy of mass 6 kg is 1.92 J, and the velocity of mass 3 kg is 1.6 m/s.
What is meant by velocity?The rate at which an object's position changes as perceived from a particular point of view and as measured by a certain unit of time is determined by its velocity, which can be expressed as, for instance, 60 km/h northbound. Quickness of motion or activity is known as velocity. Speed is a shorter term and a synonym for celerity. The term "velocity" in physics especially refers to the measurement of an object's rate and direction of positional change.The vector quantity velocity (v), denoted by the equation v = Δs/Δt, quantifies displacement (or change in position, s), over change in time (t).Therefore,
The total momentum of the bomb is unchanged before and after the explosion thanks to the conservation of linear momentum.
0 = 3 × 1.6 + 6v
v = 0.8 m/s
Kinetic energy of mass 6 kg is:
1/2 mv² = 1/2 × 6 × 0.8²
= 1.92 J
Hence, the correct option is c) 1.92J
The complete question is:
A bomb of mass 9kg explodes into 2 pieces of mass 3kg and 6kg. The velocity of mass 3kg is 1.6m/s, the kinetic energy of mass 6kg is :
A) 3.84J
B) 9.6J
C) 1.92J
D) 2.92J
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Electromagnetic waves propagate much differently in conductors than they do in dielectrics or in vacuum. If the resistivity of the conductor is sufficiently low (that is, if it is a sufficiently good conductor), the oscillating electric field of the wave gives rise to an oscillating conduction current that is much larger than the displacement current. In this case, the wave equation for an electric field:________
Answer:
Del(ρ/ε₀) - (Del)²E = -dμ₀J/dt
Explanation:
From Maxwell's fourth equation
Curl B = μ₀J + μ₀ε₀dE/dt (1) where the second term is the displacement current.
If the oscillation conduction current in the conductor is much larger than the displacement current then, the displacement current goes to zero. So we have
Curl B = μ₀J (2)(since μ₀ε₀dE/dt = 0)
From maxwell's third equation
Curl E = -dB/dt (3)
taking curl of the above from the left
Curl(Curl E) = Curl(-dB/dt)
Curl(Curl E) = (-d(CurlB)/dt) (4)
Substituting for Curl B into (4), we have
Curl(Curl E) = -dμ₀J/dt
Del(DivE) - (Del)²E = -dμ₀J/dt (5)
From Maxwell's first equation,
DivE = ρ/ε₀
Substituting this into (5), we have
Del(ρ/ε₀) - (Del)²E = -dμ₀J/dt
A uniform electric field is directed upward and has a magnitude of 24 N/C. A charge of -6 C is placed in this
field.
The direction of the force on the charge placed in the electric field is upward.
True or False
The statement" The direction of the force on the charge placed in the electric field is upward" is false because the direction of the force on a negative charge (-6 C) placed in an upward-directed uniform electric field of magnitude 24 N/C would be downward.
The direction of the force on a charged particle placed in an electric field is determined by the charge of the particle and the direction of the electric field. In this case, a charge of -6 C is placed in an electric field directed upward with a magnitude of 24 N/C.
The force on a charged particle in an electric field can be calculated using the formula:
F = q * E
Where F is the force, q is the charge of the particle, and E is the electric field.
Since the charge q in this case is negative (-6 C) and the electric field E is directed upward, we can substitute the values into the formula:
F = (-6 C) * (24 N/C)
F = -144 N
The negative sign in the force value indicates that the force is in the opposite direction to the electric field. Therefore, the force on the charge placed in the electric field is downward, not upward.
The force on a negative charge is always opposite to the direction of the electric field. This is because negative charges experience an attractive force towards positive charges, and electric fields are directed from positive charges to negative charges.
Therefore, the statement "The direction of the force on the charge placed in the electric field is upward." is false.
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the amount of power exerted by a machine that applies a force of 550 N over a distance of 10 m in a time of 5 seconds
Answer:
The meaning of work is a force that acts on an object and the object moves in respond and the meaning of power is how much work is done in a given amount of time. The two terms are related by is that power is the rate of doing work.
Explanation:
You are in Paris, 50. m up on an Eiffel Tower support leg observation deck. If you throw a euro downward at a velocity of -1.0 m/s, how long would it take the coin to hit the ground?
Here’s my work to your question. I used kinematic equations to solve. :)
How have astronomers used models to explain galactic evolution through mergers and collisions? Use this model to explain how astronomers might test their understanding of the physical processes of the universe.
Answer:
Astronomers use computer models to simulate the process of galactic evolution through mergers and collisions. These models are based on our current understanding of the physical laws that govern the behavior of matter and energy in the universe. By running simulations of galactic mergers and collisions, astronomers can test their understanding of how these physical processes work in practice and how they contribute to the formation and evolution of galaxies.
One way that astronomers might test their understanding of the physical processes of the universe is by comparing the predictions of their models to observations of real galaxies. For example, if a model predicts that a particular type of galaxy should have a certain shape, size, or distribution of stars, astronomers can compare these predictions to observations of actual galaxies to see if they match up. If there is a discrepancy between the model's predictions and the observations, this can indicate that there are some physical processes that are not well understood or included in the model.
Another way that astronomers might test their understanding is by looking for patterns or trends in the properties of galaxies that are consistent with the predictions of their models. For example, if a model predicts that galaxies that have undergone a recent merger should have a particular distribution of gas and dust, astronomers can look for evidence of this pattern in observations of real galaxies. If they find that the predicted pattern is consistently observed in a large sample of galaxies, this can provide support for the model's predictions and the physical processes that it includes.
Overall, computer models of galactic evolution through mergers and collisions provide a powerful tool for astronomers to test their understanding of the physical processes of the universe. By comparing the predictions of their models to observations of real galaxies and looking for consistent patterns and trends, astronomers can refine their understanding of how galaxies form and evolve over time.
what happens to the orbit time as the distance increases.
An A.C. voltage v=80sin120πt volts is applied across a 24.0 – Ω resistor. What will an ammeter connected in series with the resistor read?
Given:
The voltage applied,
\(V=80\sin(120\pi t)\)The resistance of the resistor, R=24.0 Ω
To find:
The reading in the ammeter.
Explanation:
An ac ammeter connected in series with the resistor reads the root mean square value of the current, i.e., I_rms.
Comparing the given equation of the voltage to the standard equation,
\(V=V_0\sin(\omega t)\)We get, V₀=80 V
The root mean square value of the voltage is given by the equation,
\(V_{rms}=\frac{V_o}{\sqrt{2}}\)On substituting the known values,
\(\begin{gathered} V_{rms}=\frac{80}{\sqrt{2}} \\ =56.6\text{ V} \end{gathered}\)Thus the value of I_rms is calculated by the equation,
\(I_{rms}=\frac{V_{rms}}{R}\)On substituting the known values,
\(\begin{gathered} I_{rms}=\frac{56.7}{24.0} \\ =2.4\text{ A} \end{gathered}\)Final answer:
Thus the reading of the ac ammeter connected in series with the resistor is 2.4 A.