Explanation:
Given:
Va = 36 km/s = 3.6×10⁴ m/s
Vb = 12 km/s = 1.2×10⁴ m/s
T = 137 d = 1.18×10⁷ s
For each star, circumference = velocity * time:
2π R = V T
R = V T / (2π)
So Ra = Va T / (2π), and Rb = Vb T / (2π).
Sum of the forces on Alpha:
Ma Va² / Ra = G Ma Mb / (Ra + Rb)²
Va² / Ra = G Mb / (Ra + Rb)²
Mb = Va² (Ra + Rb)² / (G Ra)
Similarly, sum of the forces on Beta:
Mb Vb² / Rb = G Ma Mb / (Ra + Rb)²
Vb² / Rb = G Ma / (Ra + Rb)²
Ma = Vb² (Ra + Rb)² / (G Rb)
First, calculate Ra and Rb:
Ra = (3.6×10⁴) (1.18×10⁷) / (2π)
Ra = 6.78×10¹⁰
Rb = (1.2×10⁴) (1.18×10⁷) / (2π)
Rb = 2.26×10¹⁰
Therefore, the mass of Alpha is:
Ma = (1.2×10⁴)² (6.78×10¹⁰ + 2.26×10¹⁰)² / (6.67×10⁻¹¹ × 2.26×10¹⁰)
Ma = 7.81×10²⁹ kg
And the mass of Beta is:
Mb = (3.6×10⁴)² (6.78×10¹⁰ + 2.26×10¹⁰)² / (6.67×10⁻¹¹ × 6.78×10¹⁰)
Mb = 2.34×10³⁰ kg
The winter solstice is the shortest day of the year in the northern hemisphere. True or False
Hello There!
This statement is true.
The winter solstice is in the Northern Hemisphere
A ball is thrown vertically upwards from the top of a tower with a speed of 100m/s.it strikes the pound near the base of the tower after 25sec . The height of the tower is
Answer:
562.5 m
Explanation:
The vertical position of the ball is given by
[tex]y=h+ut+\frac{1}{2}gt^2[/tex]
where
h is the height of the tower (the initial position of the ball)
u = 100 m/s is the initial velocity of the ball (positive because it points upwards)
g = -9.8 m/s^2 is the acceleration due to gravity (negative because it points downward)
t is the time
Substituting t =25 s and y = 0 (at t=25 s, the height of the ball is zero, since it has reached the base of the tower), we can re-arrange the equation to find h:
[tex]h=y-ut-\frac{1}{2}gt^2 = 0-(100 m/s)(25 s) - \frac{1}{2}(-9.8 m/s^2)(25 s)^2 = 562.5 m[/tex]
How do changes in light wavelengths support the big bang theory?
A.Lights from other galaxies shifts toward the red end of the spectrum, which shows that the galaxies are moving away from the earth.
B.Lights from other galaxies shifts toward the blue end of the spectrum, which shows that the galaxies are moving toward the earth.
C.Lights from other galaxies shifts toward the red end of the spectrum, which shows that the galaxies are moving towards earth.
D.Lights from other galaxies shifts toward the blue end of the spectrum, which shows that the galaxies are moving away from the earth.
Lights from other galaxies shifts toward the red end of the spectrum, which shows that the galaxies are moving away from the earth. (A)
A. Lights from other galaxies shifts toward the red end of the spectrum, which shows that the galaxies are moving away from the earth.
What is red shift in Doppler effect?
Redshift in doppler effect is an example of the Doppler Effect. As an object moves away from us, the sound or light waves emitted by the object are stretched out, which makes them have a lower pitch and moves them towards the red end of the electromagnetic spectrum, where light has a longer wavelength.
The doppler red - shift of light observed from distant starts and galaxies gives evidence that the universe is expanding so , since it is a red light shift that means Lights from other galaxies shifts toward the red end of the spectrum and as the universe is expanding which shows that the galaxies are moving away from the earth.
hence correct option is A. Lights from other galaxies shifts toward the red end of the spectrum, which shows that the galaxies are moving away from the earth.
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A car travels from a to b with a speed of 30 km per hour and returns back to a with a speed of 50 km per hour . Find displacement, distance and average speed of the car
Explanation:
30km/h -->
A-----------------B
<-- 50km/h
Displacement = 0 (initial and final point are the same)
Distance=2AB
Average Speed=37.5km/h
A volleyball player's hand applies a 39 N force while in contact with a volleyball for 2 seconds. What is the impulse on the ball? 20 N • s 37 N • s 41 N • s 78 N • s
Answer:78 N
Explanation:Impulse=Force*time
=39*2 =78 Ns
Answer:
78 N S
Explanation:
just got it right on edg 2021
If you blow across the top of an empty soft-drink bottle, a pulse of sound travels down through the air in the bottle. At the moment the pulse reaches the bottom of the bottle, what is the correct description of the displace- ment of elements of air from their equilibrium positions and the pressure of the air at this point? (a) The displacement and pressure are both at a maximum. (b) The displacement and pressure are both at a minimum. (c) The displace- ment is zero, and the pressure is a maximum. (d) The displacement is zero, and the pressure is a minimum.
Answer:
c) the displacement is zero and pressure is at a maximum
Explanation:
Sodium Bicarbonate is a common _____
Sodium bicarbonate is a common base. Please find more information on the base below.
What are bases in chemistry?A base in chemistry is a class of substance characterized by being generally water-soluble, have a bitter taste, turns red litmus blue, and react with acids to form salts.
Sodium bicarbonate, also known as baking soda, is a salt of sodium hydroxide and carbonic acid. It has the chemical formula; NaHCO₃.
When sodium bicarbonate dissolves in an aqueous solution, it forms bicarbonate, which turns the solution basic, hence, it is said to act as a weak base in aqueous solution.
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A rotating space station is said to create “artificial gravity”—a loosely-defined term used for an acceleration that would be crudely similar to gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. If the space station is 200 m in diameter, what angular velocity would produce an “artificial gravity” of 9.80 m/s^{2} 2 at the rim?
Answer: 0.313 rad/s
Explanation:
The equation that relates the velocity [tex]V[/tex] and the angular velocity [tex]\omega[/tex] in the uniform circular motion is:
[tex]V=\omega.r[/tex] (1)
Where [tex]r=d/2=100m[/tex] is the radius of the space station (with a diaeter of 200m) that describes the uniform circular motion.
Isolating [tex]\omega[/tex] from (1):
[tex]\omega=\frac{V}{r}[/tex] (2)
On the other hand, we are told the “artificial gravity” produced by the cetripetal acceleration [tex]a_{c}[/tex] is [tex]9.8m/s^{2}[/tex], and is given by the following equation:
[tex]a_{c}=\frac{V^{2}}{r}[/tex] (3)
Isolating [tex]V[/tex]:
[tex]V=\sqrt{a_{c}.r}[/tex] (4)
[tex]V=31.3049m/s[/tex] (5)
Substitutinng (5) in (2):
[tex]\omega=\frac{31.3049m/s}{100m}[/tex] (6)
[tex]\omega=0.313rad/s[/tex] This is the angular velocity that would produce an “artificial gravity” of 9 [tex]9.8m/s^{2}[/tex].
The angular velocity that would produce an artificial gravity of 9.80 m/s^2 at the rim of the space station is 0.221 m/s.
Explanation:To calculate the angular velocity required to produce an artificial gravity of 9.80 m/s2, we can use the equation ac = rω2. Here, ac is the centripetal acceleration, r is the radius of the space station, and ω is the angular velocity. Rearranging the equation, we get ω = sqrt(ac/r), where sqrt is the square root function. Plugging in the given values, we have ω = sqrt(9.80 m/s2 / 200 m) = 0.221 m/s. Therefore, the angular velocity that would produce an artificial gravity of 9.80 m/s2 at the rim of the space station is 0.221 m/s.
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Given 4.8 moles of a gas at 37 degrees Celsius and at 792 torr, what is the volume of the gas? (The ideal gas constant is 0.0821 L · atm/mol · K and 1 atm = 760 torr.) 1.40 x 101 L 1.84 x 10-2 L 1.17 x 102 L 1.54 x 10-1 L
Answer:
1.17 x 10^2 L
Explanation:
We can find the volume of the gas by using the ideal gas law:
[tex]pV=nRT[/tex]
where we have:
[tex]p=792 Torr \cdot \frac{1 atm}{760 Torr} = 1.04 atm[/tex] is the pressure
V is the volume
n = 4.8 mol is the number of moles
R = 0.0821 L · atm/mol · K is the ideal gas constant
[tex]T=37^{\circ}+273 =310 K[/tex] is the temperature
Solving the equation for V, we find the volume
[tex]V=\frac{nRT}{p}=\frac{(4.8 mol)(0.0821 L atm/mol K)(310 K)}{1.04 atm}=117.5 L = 1.17\cdot 10^2 L[/tex]
someone please help on this one?
Explanation:
the lights on Galaxy watch shifted of uniform amounts to what the rate in of the spectrum,regardless of the distance from Earth
A machine uses 1000 J of electric energy to raise a heavy mass, increasing its potential energy by 300 J. What is the efficiency of this process?35%100%85%70%30%
Answer:
30 %
Explanation:
The efficiency of a machine is defined as:
[tex]\epsilon = \frac{E_{useful}}{E_{input}}[/tex]
where
[tex]E_{useful}[/tex] is the useful output energy
[tex]E_{input}[/tex] is the energy in input
In this problem,
- The useful output energy is the increase in potential energy of the mass, so 300 J
- The energy in input to the machine is 1000 J
Therefore, the machine's efficiency is
[tex]\epsilon = \frac{300 J}{1000 J}=0.30[/tex]
In percentage,
0.30 x 100 = 30 %
Which statement best describes copper?
A. It has a low resistance and prevents charges from moving freely.
B It has a high resistance and allows charges to move freely.
C. It has a high resistance and prevents charges from moving freely.
D. It has a low resistance and allows charges to move freely
Answer:
D. It has a low resistance and allows charges to move freely.
Explanation:
The high conductivity of copper allow charges to move freely without the need of too much force. The conductivity decreases with increase in resistance. Low resistance also means less heating of the conductors. This property of copper makes it ideal for use in the manufacture of electric cables and conductors for various gadgets.
The correct description of copper is that it has a low resistance and allows charges to move freely, making it a good conductor of electricity.
The statement that best describes copper is D. It has a low resistance and allows charges to move freely. Copper is a good conductor of electricity due to the presence of conduction electrons, which are the outermost electrons that are only loosely bound to the nucleus.
This arrangement allows these electrons to move easily from one atom to another within the material, facilitating the flow of electric charge. Copper's relative low electrical resistance makes it ideal for use in electric wiring, contributing to minimal energy dissipation in electrical systems.
What component of earth’s atmosphere exists entirely as a result of photosynthesis?
Answer:
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Explanation:
all the credit goes to the user who answered this.
I do not have any rights on this.
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Answer:
Explanation:
crust
What is the number of protons in the nucleus of an element called?
Answer:
The number of protons within the nucleus of a given atom is equal to the atomic number of the corresponding element, which can be found on the periodic table. For example, the atomic number of helium is two. Therefore, the number of protons is also two
Explanation:
Step 1 - Gather Information
The first thing you will need to do is find some information about your element. Go to the Periodic Table of Elements and click on your element. If it makes things easier, you can select your element from an alphabetical listing.
Use the Table of Elements to find your element's atomic number and atomic weight. The atomic number is the number located in the upper left corner and the atomic weight is the number located on the bottom, as in this example for krypton:
Krypton's data from the Table of Elements
Step 2 - The Number of Protons is...
The atomic number is the number of protons in an atom of an element. In our example, krypton's atomic number is 36. This tells us that an atom of krypton has 36 protons in its nucleus.
The interesting thing here is that every atom of krypton contains 36 protons. If an atom doesn't have 36 protons, it can't be an atom of krypton. Adding or removing protons from the nucleus of an atom creates a different element. For example, removing one proton from an atom of krypton creates an atom of bromine.
Step 3 - The Number of Electrons is...
By definition, atoms have no overall electrical charge. That means that there must be a balance between the positively charged protons and the negatively charged electrons. Atoms must have equal numbers of protons and electrons. In our example, an atom of krypton must contain 36 electrons since it contains 36 protons.
Electrons are arranged around atoms in a special way. If you need to know how the electrons are arranged around an atom, take a look at the 'How do I read an electron configuration table?' page.
An atom can gain or lose electrons, becoming what is known as an ion. An ion is nothing more than an electrically charged atom. Adding or removing electrons from an atom does not change which element it is, just its net charge.
For example, removing an electron from an atom of krypton forms a krypton ion, which is usually written as Kr+. The plus sign means that this is a positively charged ion. It is positively charged because a negatively charged electron was removed from the atom. The 35 remaining electrons were outnumbered by the 36 positively charged protons, resulting in a charge of +1.
Step 4 - The Number of Neutrons is...
The atomic weight is basically a measurement of the total number of particles in an atom's nucleus. In reality, it isn't that clean cut. The atomic weight is actually a weighted average of all of the naturally occurring isotopes of an element relative to the mass of carbon-12. Didn't understand that? Doesn't matter. All you really need to find is something called the mass number. Unfortunately, the mass number isn't listed on the Table of Elements. Happily, to find the mass number, all you need to do is round the atomic weight to the nearest whole number. In our example, krypton's mass number is 84 since its atomic weight, 83.80, rounds up to 84.
The mass number is a count of the number of particles in an atom's nucleus. Remember that the nucleus is made up of protons and neutrons. So, if we want, we can write:
Mass Number = (Number of Protons) + (Number of Neutrons)
For krypton, this equation becomes:
84 = (Number of Protons) + (Number of Neutrons)
If we only knew how many protons krypton has, we could figure out how many neutrons it has. Wait a minute... We do know how many protons krypton has! We did that back in Step 2! The atomic number (36) is the number of protons in krypton. Putting this into the equation, we get:
84 = 36 + (Number of Neutrons)
What number added to 36 makes 84? Hopefully, you said 48. That is the number of neutrons in an atom of krypton.
The interesting thing here is that adding or removing neutrons from an atom does not create a different element. Rather, it creates a heavier or lighter version of that element. These different versions are called isotopes and most elements are actually a mixture of different isotopes.
If you could grab atoms of krypton and count the number of neutrons each one had, you would find that most would have 48, others would have 47, some would have 50, some others would have 46, a few would have 44 and a very few would have 42. You would count different numbers of neutrons because krypton is a mixture of six isotopes.
In Summary...
The least penetrating form of radiation is
Answer: alpha radiation
Explanation:
Answer:
Answer:
1. emits energy when it decays
2. 0
3. helium nucleus
The least penetrating form of radiation: 4. alpha radiation
5. increases by 1
Explanation:
Which event would be impossible to explain by using john dalton’s model of the atom?
Answer: An iron atom emits particles when it is struck by light (by the photoelectric effect)
Explanation:
The first atomic model was the one proposed by Jhon Dalton, according to which it is postulated that:
"Matter is made up of indivisible, indestructible and extremely small particles called atoms."
That is, the atom is a solid and indivisible mass.
However, the fenomenom by which an iron atom emits particles when it is struck by light (known as the photoelectric effect) can not be explaind by this indivisible atom model.
To understand it better:
The photoelectric effect consists of the emission of electrons (electric current) that occurs when light falls on a metal surface under certain conditions.
This is possible by considering light as a stream of photons, where each of them has energy. This energy is be able to pull an electron out of the crystalline lattice of the metal and communicate, in addition, a kinetic energy. This means the atom is not indivisible, but it is a composition of different particles.
In fact, currently it is known that each atom is composed of a nucleus and one or more electrons attached to the nucleus, which is composed of one or more protons and typically a similar number of neutrons.
A wave travels at a speed of 5.2 m/s. If the distance between crests is 0.40 m, what is the frequency of the wave? Use f=v/wavelength
A. 13 Hz
B. 2.1 Hz
C. 0.077 Hz
D. 5.6 Hz
A. 13 Hz.
The way to solve this problem is using the equation f = v/λ, where f is the frecuency of the wave, v the velocity of the wave and λ is the wavelength.
A wave travels at a speed of 5.2 m/s and the distane between crests is λ = 0.40 m. To find the frecuency of the way:
f = v/λ = 5.2 m/s / 0.40 m
f = 13 s⁻¹
f = 13 Hz
What is most widely accepted prediction for the future of the universe?
A.The universe will stop expanding and collapse.
B.The universe will end in a big bang.
C.The universe will stop expanding but will not collapse
D.The universe will continue expanding forever
Answer: The correct answer is : D. The universe will continue expanding forever
Explanation: The theory that has had more acceptance is that the universe will continue to expand indefinitely ending in a "big freeze", also called thermal death of the universe. This theory holds that in about a billion years the stars will go out and most of the universe will remain in darkness. The universe would be too cold to have life.
When the heat source is removed from a fluid, convection currents in the fluid will eventually ____________then stop.
When the heat source is removed from a fluid, convection currents in the fluid will eventually distribute heat uniformly throughout the fluid. When all of the fluid is at the same temperature, convection currents will stop.
In which step of the scientific method is information obtained through the senses?
Answer:
Making observations is the step of scientific method in which information is obtained through the senses.
Explanation:
Making observations is the step of scientific method in which information is obtained through the senses. This also happens to be the first step of the scientific method. Other steps include;
analyzing data
drawing conclusions
revising a hypothesis
Answer:
The correct answer will be-making observations (first step).
Explanation:
The senses are the physiological response of the external surrounding that allows us to live like sight, taste, smell, touch and hearing.
The scientific method begins with making observations of the natural world followed by framing a hypothesis which could be proved or disproved by performing experiments.
The senses allow us to sense the natural phenomenon through sensory organs which is included in the process of making observations.
Thus, making observations is the correct answer.
The attitude of the text about a subject is called the .
Answer:
The attitude of a text about a subject being discussed is called tone.
Answer:
tone
Explanation:
In a story the attitude of a character towards something shows us the character's tone. Tone is basically the emotion associated with a subject. Word choice or the arrangement of words allow a writer to express tone.
Mood and tone should not be confused the mood is the overall feeling the reader experiences while reading.
Which of the following properties increase as you move from left to right across a period? Select all that apply.A)Ionization energy B)NoneC)ElectronegativityD)Atomic radius
Answer:
B)None
Explanation:
If you push an object twice as far while applying the same force, you do...
Answer:
The work done is doubled
Explanation:
The work done on an object by a force is (assuming the force is parallel to the displacement of the object)
W = Fd
where
W is the work done
F is the magnitude of the force
d is the displacement of the object
In this problem:
- the force applied is the same
- the displacement of the object is doubled, d' = 2d
So the new work done will be
W' = Fd' = F(2d) = 2 (Fd) = 2 W
So, the work done is doubled.
Final answer:
Pushing an object twice as far with the same force results in doubling the work done due to the work being the product of force and distance. A greater change in momentum is also achieved since momentum change is proportional to the force application time.
Explanation:
When you push an object twice as far while applying the same force, you do double the work. This is because work is the product of force and the distance over which the force is applied. If we consider the equation for work, W = F × d, where W is work, F is force, and d is distance, by doubling the distance d while keeping the force F constant, the work done W is doubled. It is also essential to consider that if you are pushing an object on a surface with friction, you might have to apply more effort to overcome the frictional force.
According to Newton's second law, the acceleration of an object is proportional to the net force acting upon it and inversely proportional to its mass. From this, it follows that if you're pushing an object and increase the distance while maintaining the same force, the object's velocity will increase over a longer time, leading to a greater change in momentum, which is in line with the concept that the change in momentum is proportional to the time the force is applied.
Furthermore, the work-energy principle tells us that the work done on an object is equal to the change in its kinetic energy. Therefore, pushing an object twice as far with the same force means you've input twice the energy into the object, assuming no other external forces like friction or air resistance are doing work on the object.
What determines the amount of inertia an object has
Explanation:
Mass is defined as the amount of matter that makes up a body; which is measured by its inertia.
It should be noted that inertia is a property of bodies or objects that is related to resistance to changes in its state of motion. So, the amount of inertia that a body possesses depends on its quantity of matter, that is, its mass.
The amount of inertia an object has is determined by its mass. An object with a larger mass will have greater inertia.
Explanation:The amount of inertia an object has is determined by its mass. Inertia is the property of an object that resists changes in its motion. The more mass an object has, the greater its inertia. This means that an object with a larger mass will require more force to accelerate or decelerate compared to an object with a smaller mass.
For example, a heavy book will be harder to push than a lightweight book because it has more inertia due to its greater mass.
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A diver leaves the end of a 4.0 m high diving board and strikes the water 1.3s later, 3.0m beyond the end of the board. Considering the diver as a particle, determine: the magnitude of her initial velocity.
Answer:
4.0 m/s
Explanation:
The motion of the diver is the motion of a projectile: so we need to find the horizontal and the vertical component of the initial velocity.
Let's consider the horizontal motion first. This motion occurs with constant speed, so the distance covered in a time t is
[tex]d=v_x t[/tex]
where here we have
d = 3.0 m is the horizontal distance covered
vx is the horizontal velocity
t = 1.3 s is the duration of the fall
Solving for vx,
[tex]v_x = \frac{d}{t}=\frac{3.0 m}{1.3 s}=2.3 m/s[/tex]
Now let's consider the vertical motion: this is an accelerated motion with constant acceleration g=9.8 m/s^2 towards the ground. The vertical position at time t is given by
[tex]y(t) = h + v_y t - \frac{1}{2}gt^2[/tex]
where
h = 4.0 m is the initial height
vy is the initial vertical velocity
We know that at t = 1.3 s, the vertical position is zero: y = 0. Substituting these numbers, we can find vy
[tex]0=h+v_y t - \frac{1}{2}gt^2\\v_y = \frac{0.5gt^2-h}{t}=\frac{0.5(9.8 m/s^2)(1.3 s)^2-4.0 m}{1.3 s}=3.3 m/s[/tex]
So now we can find the magnitude of the initial velocity:
[tex]v=\sqrt{v_x^2+v_y^2}=\sqrt{(2.3 m/s)^2+(3.3 m/s)^2}=4.0 m/s[/tex]
The combining of light nuclei is called_____.
Answer:
fusion
Explanation:
A damaged 1200-kg car is being towed by a truck. Neglecting the friction, air drag, and rolling resistance, determine the extra power required (a) for constant velocity on a level road, (b) for constant velocity of 50 km/h on a 30° (from horizontal) uphill road, and (c) to accelerate on a level road from stop to 90 km/h in 12 s.
(a) 0 W
In this situation, the car is moving on a level road at constant velocity. This means that its acceleration is zero:
a = 0
But this also means that the net force acting on the car is zero, according to Newton's second law:
F = ma = 0
The power required to move the car is
P = Fv
where F is the force applied to the car and v the velocity. Since there are no air drag/frictional forces, the force applied to the car is exactly zero: so, the extra power needed to keep the car in motion at constant velocity is also zero.
(b) 81815 W
In this situation, the car is moving on an uphill road, so there is a component of the weight parallel to the incline acting agains the direction of motion of the car. This component of the weight is given by
[tex]W=mg sin \theta[/tex]
where
m = 1200 kg is the mass of the car
g = 9.81 m/s^2 is the acceleration of gravity
[tex]\theta = 30^{\circ} [/tex] is the angle of the incline
Substituting,
[tex]W=(1200 kg)(9.81 m/s^2)(sin 30^{\circ} )=5886 N[/tex]
So the truck must exerts an additional force of F = 5886 N to keep the car in motion at constant velocity.
The velocity of the car is
v = 50 km/h = 13.9 m/s
So the extra power needed is
P = Fv = (5886 N)(13.9 m/s) = 81,815 W
(c) 31250 W
Here the car accelerates to a final velocity of
v = 90 km/h = 25 m/s
from an initial velocity of
u = 0
So the work done on the car is equal to its change in kinetic energy, so:
[tex]W=K_f - K_i = \frac{1}{2}mv^2 - \frac{1}{2}mu^2 = \frac{1}{2}(1200 kg)(25 m/s)^2 -0 =3.75\cdot 10^5 J[/tex]
The extra power erogated by the truck therefore must be
[tex]P=\frac{W}{t}[/tex]
where
t = 12 s
is the time taken
Substituting,
[tex]P=\frac{3.75\cdot 10^5 J}{12 s}=31250 W[/tex]
Kirk wants to know if someone his height will go faster on a bike with a larger frame. What should he do next in order to follow the steps of the inquiry?
A. Predict the effect of bike size on the speed of a rider his height.
B. Design an experiment in which people his height ride bikes of various sizes.
C. Observe riders his height riding bikes of various sizes.
D. Time himself riding around a track on bikes belonging to several of his friends.
Answer:
The answer is A but I could be wrong
Answer: A. Predict the effect of bike size on the speed of a rider his height.
(Apex) Pretest
The two measurements necessary for calculating average speed are…A. Acceleration and Time B. Velocity and Time C. Distance and Time D. Distance and AccelerationE. Displacement and Time
Answer:
C. Distance and Time
Explanation:
Speed is defined as the distance covered per unit of time. It is a scalar quantity and as such expressed in scalar terms. When we talk about speed, the direction of motion does not matter. We only try to find the rate at which a body moves with time.
It is expressed as:
Speed = [tex]\frac{Distance covered}{Time taken}[/tex]
The SI unit of speed is m/s or ms⁻¹
Average speed is calculated using the measurements of distance and time, making option C the correct answer. Speed is a scalar quantity and should not be confused with velocity, which includes direction.
Explanation:The two measurements necessary for calculating average speed are distance and time. Thus, the correct answer to the question is C. Distance and Time. Average speed is defined as the total distance traveled divided by the elapsed time. When we express this mathematically, average speed is calculated using the formula:
Average speed = Total distance traveled / Elapsed time
It is important to note that speed is a scalar quantity, meaning it does not have a direction associated with it, while velocity is a vector quantity, which includes both magnitude and direction.
An object is located 30.0 cm from a concave mirror. The focal length is 15.0 c,. What is the image distance?
A. 30.0 cm
B. -10 cm
C. 10.0 cm
D. -30.0 cm
Answer:
30.0 cm
Explanation:
We can use the mirror equation:
[tex]\frac{1}{f}=\frac{1}{p}+\frac{1}{q}[/tex]
where
f = +15.0 cm is the focal length of the mirror
p = 30.0 cm is the distance of the object from the mirror
q is the distance of the image from the mirror
Solving the equation for q, we find
[tex]\frac{1}{q}=\frac{1}{f}-\frac{1}{p}=\frac{1}{15.0 cm}-\frac{1}{30.0 cm}=\frac{1}{30.0 cm}\\q = 30.0 cm[/tex]