Answer:
A fossil fuel power station is a thermal power station which burns a fossil fuel, such as coal or natural gas, to produce electricity. Fossil fuel power stations have machinery to convert the heat energy of combustion into mechanical energy, which then operates an electrical generator.
Explanation:
When Mr. Peterson first met his teenaged granddaughter, he thought she was
self-centered and silly. After spending more time with her, however, he now
thinks she is a great person. This is an example of the:
Question: when Mr. Peterson first met his teenage granddaughter, he thought she was self-centered and silly. after spending more time with her, however, he now thinks she is a great person. this is an example of:
A. fundamental attribution error
B. Mere exposure effect
C. Cognitive dissonance
D. Scapegoat theory
Answer:
when Mr. Peterson first met his teenage granddaughter, he thought she was self-centered and silly. after spending more time with her, however, he now thinks she is a great person. this is an example of: Mere exposure effect
Explanation:
The mere exposure effect is something on first exposure you dislike it, but after being spending more time with it you will start liking it. Moreover spending time with something or someone getting aware of that person make you believe that you have started liking it, despite the initial aversion. It is psychological phenomenon which with time build up a preference for the thing after getting familiar to them. Also, called as familiarity principle.
Answer: mere exposure effect
Explanation:
wich of these is not a sign of chemical change 1 A gas is given off
2 the material dissolves.
3 a color change occurs.
2. The material dissolves
Explanation:The Question tests the understanding of chemical change and whether we know the signs that show its occurrence.
First we need to know what is chemical change;
Chemical change is a type of change that involves formation of a new substance different from the original substance.Second we need to identify the signs that indicate the occurrence of a chemical change
Chemical change in chemical reactions is characterized by various signs which include;Production of bubbles Color change Formation of a precipitate Change of odor Change in temperature.Therefore, in this case, the material dissolving is not a sign that chemical change has taken place.
When a pitcher throws a baseball, it reaches a top speed of 45 m/s. If the
baseball takes 0.9 seconds to travel from the pitcher to the catcher, what is
its acceleration? (Assume the ball is moving at 0 m/s right before it leaves
the pitcher's hand.)
A. 45 m/s2
B. 50 m/s2
C. 55m/s 2
D. 40 m/s2
Answer:
B. 50 m/s²
Explanation:
Given:
Initial velocity of the ball is, [tex]u=0\ m/s[/tex]
Final velocity of the ball is, [tex]v=45\ m/s[/tex]
Time taken by the ball is, [tex]t=0.9\ s[/tex]
Acceleration is defined as the rate of change of velocity. So, the velocity of the ball is changing with time. So, acceleration is given as:
[tex]a=\frac{v-u}{t}[/tex]
Plug in 0 for 'u', 45 for 'v', 0.9 for 't' and solve for acceleration, 'a'. This gives,
[tex]a=\frac{45-0}{0.9}\\\\a=\frac{45}{0.9}\\\\a=50\ m/s^2[/tex]
Therefore, the acceleration of the ball is 50 m/s².
A cannon ball is fired horizontally with a velocity of 50 metre per sec from the top of a cliff 90m high. After how many seconds will it strike the plain at the foot of the cliff? with what velocity will it strike the ground?
To solve the problem, we use the equations of projectile motion. The cannonball takes approximately 4.28 seconds to hit the ground and has a velocity of 50m/s at impact.
Explanation:To solve this problem, we can use the equations of projectile motion. Since the cannonball is fired horizontally, its initial vertical velocity is zero, so it will only accelerate vertically due to gravity. We can use the equation h = (1/2)gt^2, where h is the height of the cliff (90m), g is the acceleration due to gravity (9.8m/s^2), and t is the time it takes for the cannonball to hit the ground.
Plugging in the values, we get 90 = (1/2)*(9.8)*t^2. Solving for t, we find that it takes approximately 4.28 seconds for the cannonball to strike the ground.
Since the cannonball is fired horizontally, its initial vertical velocity is zero, so its velocity just before hitting the ground will be equal to its horizontal velocity. The horizontal velocity remains constant throughout the motion, so the cannonball will have a velocity of 50m/s just before hitting the ground.
The force of the players head on the ball is 1.5N upward, What is the force of the ball on the players head?
The force is 1.5N acting downward or -1.5N.
Why?
To answer this question, we need to remember the Newton's Third Law. This Law states that for every force applied upon an object, there is an equal force acting in the opposite direction. This Law is also called "action-reaction Law".
So, if the force of the players heads applied on the ball is equal to 1.5N (upward), the force applied by the force on the players heads will be exactly equal, but with opposite direction, or -1.5N (downward).
Have a nice day!
To be a healthy family, which of the statements below is TRUE:
A.
Family members need to be perfect.
B.
Family members must include a mom, dad, and children.
C.
Family members try to work out differences together.
D.
Family members must never disagree.
A golf club hits a 0.0459 kg golf ball
at rest. Afterwards the ball leaves
at 63.9 m/s. What impulse was
given to the ball?
(Unit = kg*m/s)
Answer:
2.933 kg m/s
Explanation:
impulse = change in momentum
impulse = mass ( final velocity - initial velocity )
= 0.0459 ( 63.9 - 0 )
= 0.0459 × 63.9
= 2.93301 kg m/s
or = 2.933 kg m/s up to 4 significant figures
The impulse given to the golf ball is [tex]2.9331 kgm/s[/tex].
calculated as the change in momentum from rest to [tex]63.9 m/s[/tex] using the golf ball's mass.
To determine the impulse given to the golf ball, we need to use the formula:
[tex]Impulse (J) = Change in Momentum (Δp)[/tex]
First, we calculate the initial momentum:
[tex]Initial momentum (pinitial) = mass (m) * initial velocity (vinitial)[/tex]
Since the golf ball is at rest initially, initial velocity [tex](vinitial) = 0 m/s:[/tex]
[tex]pinitial = 0.0459 kg * 0 m/s = 0 kgm/s[/tex]
Next, we calculate the final momentum:
Final momentum [tex](pfinal) = mass (m) * final velocity (vfinal)[/tex]
[tex]vfinal = 63.9 m/s:[/tex]
[tex]pfinal = 0.0459 kg * 63.9 m/s = 2.9331 kgm/s[/tex]
Now, we find the impulse by calculating the change in momentum:
[tex]Impulse (J) = Δp = pfinal - pinitial[/tex]
Impulse (J) = [tex]2.9331 kgm/s - 0 kgm/s = 2.9331 kgm/s[/tex]
Thus, the impulse given to the ball is [tex]2.9331 kgm/s.[/tex]
1- Is the d versus t2 graph linear. What is the relation between the acceleration and the slope?
Answer:The principle is that the slope of the line on a position-time graph reveals useful information about the velocity of the object. ... If the velocity is constant, then the slope is constant (i.e., a straight line). If the velocity is changing, then the slope is changing (i.e., a curved line
Explanation:
What is the rate of change of position in which the same distance is traveled each second ?
Answer:
The rate of change of position in which the same distance is traveled each second is called uniform velocity.
Explanation:
When there is a change in the position coordinate of an object with respect to time, it is has a velocity associated with it.Similarly, when there is a change in the velocity component of the object with respect to the time, there is an acceleration associated with it.When the rate of change of position in which the same distance is traveled each second, the object is said to be in uniform velocity. Therefore, there is no acceleration acting on the object.Since there is no acceleration acting on the object, the net force on the object is zero.The rate of change of position where the same distance is traveled each second is known as speed, and when this rate is constant, the object has a constant speed.
Explanation:The rate of change of position in which the same distance is traveled each second is referred to as speed. Speed is a measure of how quickly an object moves from one place to another. It is calculated by dividing the distance covered by the time it takes to travel that distance. For instance, if a train travels 120 kilometers in 2 hours, its speed would be calculated as 120 divided by 2, giving a speed of 60 kilometers per hour.
In the case where the rate of change of position is constant over time, the object is said to be moving with constant speed. This means that the object covers equal distances in equal intervals of time, no matter how small these time intervals are. An example of this would be a car moving at a steady 50 kilometers per hour, implying that every hour, it travels exactly 50 kilometers, and in every second, it travels approximately 13.9 meters.
A student finds an unlabeled bottle of liquid under
his kitchen sink. Which investigation would BEST
help him identify the unknown liquid as acidic,
basic, or neutral?
healing the unknown liquid to its boiling point
B. cooling the unknown liquid to its freezing point
C adding some of the unknown liquid to red litmus
paper
D. adding an equal amount of water to the
unknown liquid
Answer:
C. Adding some of the unknown liquid to red litmus paper.
Explanation:
Since the student doesn't know what the liquid is, it is not safe to experiment with it by boiling, cooling, or adding water to it. The safest option would be to add a small bit of the liquid to the litmus paper, which will identify the liquid as neutral, basic, or acidic.
The answer is C. Adding some of the unknown liquid to red litmus paper.
I WIIL GIVE BRAINLIEST
Which type of biotechnology is used by scientists when they alter the DNA of a plant to make it grow faster?
Group of answer choices
Genetic engineering because it is always helpful to society
Artificial selection because the DNA of the plant was changed
Genetic engineering because the genes of the plants were modified
Artificial selection because it always produces desirable traits
Answer:
Genetic engineering because the genes of the plants were modified.
Explanation:
We can eliminate the second and fourth ones right off of the bat because artificial selection is breeding organisms until they display a trait or a series of traits that is desired, but in this situation, the scientist directly altered the DNA. Genetic engineering, just like all other technologies, aren't necessarily helpful to society all of the time; they always have their draw backs. The answer has to be the third one because the DNA is directly altered, just like the answer choice says.
two 2.5 kg balls move away from each other one traveling 3 m/s to the right the other 4 m/s to the left what is the magnitude of the total momentum of the system? answer in units
Answer:
2.5 kg.m/s
Explanation:
Taking left side as positive while right side direction as negative then
Momentum, p= mv where m is the mass of the object and v is the velocity of travel
Momentum for ball moving towards right side=mv=2.5*-3=-7.5 kg.m/s
Momentum for the ball moving towards the left side=mv=2.5*4=10 kg.m/s
Total momentum=-7.5 kg.m/s+10 kg.m/s=2.5 kg.m/s
The total momentum of the two 2.5 kg balls moving in opposite directions is 2.5 kg×m/s, calculated by using the principle of conservation of momentum.
Explanation:The question you're asking involves the conservation of momentum in physics. Momentum is defined as the product of the mass and velocity of an object. In a closed system where no external forces are involved, the total momentum of the objects before the event (collision, separation, etc.) is equal to the total momentum after the event.
In this case, two 2.5 kg balls are moving in opposite directions, one at 3 m/s and the other at 4 m/s. You can calculate the total momentum by adding together the momentum of each ball, taking into account their respective directions.
To find the magnitude of the total momentum of the system, you can use the formula: Total Momentum = Mass Ball 1 × Velocity Ball 1 (direction1) + Mass Ball 2 × Velocity Ball 2 (direction2). Since one ball is moving to the right and the other is moving to the left, we treat these directions as positive and negative respectively.
Therefore, the total momentum is: (2.5 kg × 3 m/s) - (2.5 kg × 4 m/s) = 7.5 kg×m/s - 10 kg×m/s = -2.5 kg × m/s. But, you're asking for the magnitude, so we take it as positive, which is 2.5 kg × m/s.
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Which of the following factors would affect the weather patterns of a region?
A)Latitude
B)Altitude
C)Near by bodies of water
D)All of these
Answer:
D) All of those
Explanation:
You can use "LOWER Near water" to remember that factors which affect the weather patterns of a region.
Latitude. It tends to be hotter when closer to the equator.
Ocean currents. The temperature of the ocean can come from far away and affect the temperature of the air in a new location.
Wind and air mass. Air masses, blown by the wind, change the weather in an area depending on where it was formed.
Elevation, which is the same as altitude. It tends to be colder higher up.
Relief. When mountains block wind and precipitation on one side, making the other side have "relief" on the leeward side.
Near water. Temperature is more moderate because water does not change temperature as fast.
whar are the phenotypes for FF Ff ff
Answer:
F, F, f (if I'm understanding the question correctly)
Explanation:
Phenotypes are the physical trait shown. In FF, Ff, ff a capital letter means that the gene is dominant and therefore always shows when paired with either another of itself or a recessive (lowercase). So, for FF, you see F as the phenotype shown, and for Ff, you see F as the phenotype because F is dominant over the recessive f. In ff, however, since you have two recessives, only then can you see f as the phenotype because you have no dominant traits.
the earths gravity pulls on the moon and keeps it in its orbit. the moons gravity will then___.?
a pull on smaller objects such as astroids but has no effect on the earth
b pull back on earth
c push the moon away from the earth
d affect nothing
Answer:
The best options from the answer choises above would be Opption B.
Explanation:
Gravitational forces are equal in both directions.
good luck.
what chemical bond is formed when an equal exchange of electrons occurs?
A) covalent
B) hydrate
C) ionic
D) magnetic
An ionic bond is formed when there's an equal exchange of electrons between atoms. This differs from other bond types like covalent bonds, where electrons are shared. Sodium chloride (NaCl) is a typical example of this kind of bond.
Explanation:The chemical bond that's formed when an equal exchange of electrons occurs is the ionic bond. An ionic bond is a type of chemical bond that occurs when an atom transfers one or more electrons to another atom. This is different from a covalent bond where the electrons are shared, rather than exchanged. For example, when the sodium atom (Na) transfers an electron to the chlorine atom (Cl), they form an ionic bond and become a sodium chloride (NaCl) molecule.
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The magnitude of the gravitational field on the surface of a particular planet is 2g. The planet’s mass is half the mass of the Earth. What is the planet’s radius in terms of the radius Rg of Earth?
To find the radius of a planet with a gravitational field twice that of Earth's and half the mass, the radius is calculated to be half of Earth's radius.
Explanation:The magnitude of the gravitational field strength g on a planet is given by the equation g = G(M/R^2), where G is the universal gravitation constant, M is the planet's mass, and R is the planet's radius. Given that the gravitational field on the surface of the particular planet is 2g where g is Earth's gravitational field, and the planet's mass is half of Earth's mass, we can derive the planet's radius in terms of Earth's radius Rg. Setting up the proportion (G(1/2M_Earth)/(R^2)) / (G(M_Earth)/(Rg^2)) = 2, and simplifying, we find that R^2 = (1/4)Rg^2. Taking the square root of both sides gives us the final relation R = (1/2)Rg.
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Object is going 22m/s and is 3kg find momentum
66 kgm/s
Explanation:We are given;
Velocity of the object as 22 m/sMass of the object as 3 kgWe are required to determine the momentum of the object;
We need to know that momentum is the product of mass and velocity of an object.Therefore; Momentum = Velocity × MassIn this case;
Momentum = 22 m/s × 3 kg
= 66 kgm/s
Thus, the momentum of the object is 66 kgm/s
A 0.0427 kg racquet-ball is moving
22.3 m/s when it strikes a
stationary box. The ball bounces
back at 11.5 m/s, while the box
moves forward at 1.53 m/s. What
is the mass of the box?
(Unit = kg)
Answer:
Mass of the box = 0.9433 kg
Explanation:
Mass of racket-ball [tex](m_1)[/tex] = 0.00427 kg
Velocity of racket-ball before collision [tex](v_{1i})[/tex] = 22.3 m/s
Velocity of racket-ball after collision with box [tex](v_{1f})[/tex] = -11.5 m/s
[Since ball is bouncing back, so velocity is taken negative.]
Velocity of the box before collision [tex]v_{2i}[/tex] = 0 m/s
[Since the box is stationary, so velocity is taken zero]
Velocity of box moving forward after collision [tex]v_{2f}[/tex]= 1.53 m/s
To find the mas of the box [tex]m_2[/tex].
By law of conservation of momentum we have:
Momentum before collision = Momentum after collision
This can be written as:
[tex]p_i=p_f[/tex]
[tex]m_1v_{1i}+m_2v_{2i}=m_1v_{1f}+m_2v_{2f}[/tex]
We can plugin the given value to find [tex]m_2[/tex]
[tex](0.0427\times 22.3)+(m_2\times 0)=(0.0427\times (-11.5))(m_2\times 1.53)[/tex]
[tex]0.9522+0=-0.4911+1.53m_2[/tex]
Adding both sides by 0.4911
[tex]0.9522+0.4911=-0.4911+0.4911+1.53m_2[/tex]
[tex]1.4433=1.53m_2[/tex]
Dividing both sides by 1.53.
[tex]\frac{1.4433}{1.53}=\frac{1.53m_2}{1.53}[/tex]
[tex]0.9433=m_2[/tex]
∴ [tex]m_2=0.9433[/tex] kg
Mass of the box = 0.9433 kg (Answer)
Answer:
0.9433
Explanation:
How much work can you do using a 600 watt stove and oven for 10 minutes
Answer:
360 kJ
Explanation:
Energy = power × time
E = 600 J/s × (10 min × 60 s/min)
E = 360,000 J
E = 360 kJ
Using a 600 watt stove and oven for 10 minutes results in an energy consumption of 0.1 kilowatt-hours (kWh),
Using the formula:
Energy (in watt-minutes) = Power (in watts)× Time (in minutes)
For a 600 watt stove:
Power = 600 wattsTime = 10 minutesEnergy = 600 watts× 10 minutes
= 6000 watt-minutes
However, energy consumption is usually expressed in kilowatt-hours (kWh). To convert watt-minutes to kilowatt-hours, use the following conversion:
1 watt-minute = 1/60,000 kilowatt-hour
Therefore:
Energy = 6000 watt-minutes× (1/60,000) kWh/watt-minute
= 0.1 kWh
The 600 watt stove and oven can do 0.1 kWh of work in 10 minutes.
An object initially at rest accelerates at 5 meters per second2 until it attains a speed of 30 meters per second. What distance does the object traverse while accelerating?
Answer: 90m
Explanation:
Use Equation for distance:
S=a*t²/2
use eqation for acceleraton a=(Vf-Vs)/t
Vs- starting speed
Vf - final speed
a-accelaration
---------------------------------
a=5m/s²
Vs=0m/s
Vf=30m/s
use
a=(Vf-Vs)/t
to find time
t=(Vf-Vs)/a
t=30m/s/5m/s²
t=6s
Now calculate distance that object travel using:
S=(a*t²)72
s=(5m/s²*(6s)²)/2
S=90m
If an object initially at rest accelerates at 5 meters per second² until it attains a speed of 30 meters per second, then the distance traveled by the object would be 90 meters.
What are the three equations of motion?There are three equations of motion given by Newton,
v = u + at
S = ut + 1/2×a×t²
v² - u² = 2×a×s
As given in the problem an object initially at rest accelerates at 5 meters per second2 until it attains a speed of 30 meters per second.
By using the third equation of motion given by newton
v² - u² = 2×a×s
30² - 0² = 2*5*s
10s = 900
s = 900 / 10
=90 meters
Thus,If an object initially at rest accelerates at 5 meters per second² until it attains a speed of 30 meters per second, then the distance traveled by the object would be 90 meters.
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Kgms^-1 ÷ m× (ms^-1)^2
Can u simplify this
Answer:
[tex]\displaystyle \frac{Kg\ m^2}{s^3}[/tex]
Explanation:
Physic Units
Physic magnitudes are expressed in international units in different systems. The most used by this modern times is the SI (International System of Units) which expressed length in meters, time in seconds and mass in kg, just to mention some of the most-used magnitudes.
The given expression is a composition of basic units:
[tex]\displaystyle \frac{Kg\ m\ s^{-1}}{m}(m\ s^{-1})^2[/tex]
Converting negative in positive powers:
[tex]\displaystyle \frac{Kg\ m\ }{m\ s}\left ( \frac{m}{s} \right )^2[/tex]
Expanding the square
[tex]\displaystyle \frac{Kg\ m\ }{m\ s}\left ( \frac{m^2}{s^2} \right )[/tex]
Simplifying by m and multiplying like factors
[tex]\displaystyle \frac{Kg\ m^2}{s^3}[/tex]
Which statement best describes insulators? Free electrons can move to other atoms Electrons within their atoms are strongly held by the nuclei Permits charged particles to move freely through it Most electrons within their atoms are unpaired
Answer:
The statement that best describes insulators is "Electrons within their atoms are strongly held by the nuclei"
Explanation:
Atoms are constituted by a nucleus with positive charge (protons and neutrons), around which negative charges (electrons) revolve.
Substances that have a huge amount of "free electrons" that can move through the material are called conductors. This is due to the low resistance to the movement of the load or electric current.
Materials that do not conduct electricity are called insulators. In this case the electrons are strongly bound to the nucleus and cannot move freely. In this way a great resistance to the flow of electric current is offered.
Finally, semiconductors are the materials that can have electrical properties of conductors or insulators.
So the statement that best describes insulators is "Electrons within their atoms are strongly held by the nuclei"
Answer:
it has a high resistivity because it opposes the movement of electrons
Explanation:
Which object would a geologist date using carbon-14 dating?
Answer:
Your answer is the rock pillar, the second image.
Explanation:
I'm an edg user too.
If a space ship is traveling with a constant acceleration of 75 m/s^2 and travels for three weeks, how far did it travel and what was it's velocity before it stopped?
Answer:
The final velocity of the ship is, v = 136050000 m/s
The total distance covered, s = 6.94 x 10¹⁷ m
Explanation:
Given data,
The constant acceleration of the space ship, a = 75 m/s²
The time period of the space ship acceleration is t = 3 weeks
t = 1.814 x 10⁶ s
The initial velocity of the ship is u = 0 m/s
The final velocity of the ship is,
v = u + at
= 0 + 75 (1.814 x 10⁶)
= 136050000 m/s
The distance space ship traveled, can be calculated from the second equation of motion.
s = ut + ½ at²
= 0 + ½ 75 (136050000)²
= 6.94 x 10¹⁷ m
Hence, the total distance covered, s = 6.94 x 10¹⁷ m
what will happen to the solar particle as the particles enter magnetosphere?
Answer:
When the solar particles enters into the magnetosphere gets deflected.
Explanation:
When particles enter into the magnetosphere gets deflected because of the solar wind. After getting deflected they comes towards the earth's magnetic field. The Earth's outer space is live and also much dynamic. When solar wind as well as the plasma comes together in magnetosphere, electricity gets generated and also formation of electric field. The magnetosphere found to attract the charged particles only that are being emitted by the sun.
Which part of the manufacturing process involves heating and rolling blocks of steel into flat sheets and bars?
A. Forming
B. Finishing
C. Conditioning
D. Separating
Answer: Forming
Explanation: Metal forming is a process where materials are subjected to plastic deformation to obtain the required size, shape, and/or change the physical and chemical properties
As ocean waves approach shore, their velocity decreases. How does a decrease in velocity affect the frequency and wavelength of the waves entering the shallow water?
A. frequency increases and wavelength decreases
B. frequency decreases and wavelength increases
C. frequency stays the same and wavelength increases
D. frequency stays the same and wavelength decreases
Answer:
D
Explanation:
The relationship between velocity, frequency and wavelength is given by v=fλ
The ocean wave approach the shore at a constant frequency
From the relationship a decrease in velocity will also decrease the wavelength and vice versa.
To measure the mass of a planet with the same radius as Earth, an astronaut drops an object
from rest (relative to the planet) from an altitude of one radius above the surface. When the
object hits its speed is 4 times what it would be if the same experiment were carried out for
Earth. In units of Earth masses, the mass of the planet is:
A. 2
B. 4
C. 8
D. 16
E. 32
ans: D
Answer:
D. 16
Explanation:
For this you must the gravitational force equation, i.e.
[tex]\mathbf{F = \frac{Gm_{1}m_{2}}{r^{2}}}[/tex]
where [tex]\textrm{m}_{1}[/tex] and [tex]\textrm{m}_{2}[/tex] are mass of objects,
[tex]\textrm{r}[/tex] is the distance between objects
and [tex]\textrm{G}[/tex] is the universal gravitational constant which is approximately equal to [tex]\mathrm{6.67\times10^{-11} \frac{m^3}{kg\cdot s^{2}}}[/tex].
You must know that energy and its conservation in terms of gravitational forces.
Let mass of earth be equal to M and radius of earth as R.
Potential energy of an object of mass m at a distance r from center of earth = [tex]\mathbf{PE = -\frac{GMm}{r}}[/tex]
Kinetic energy of same object at any point of time = [tex]\mathbf{KE = \frac{1}{2}mv^{2}}[/tex] where v is the speed of the object.
Energy conservation states that total energy of a system is always constant.
Total energy = Potential energy + Kinetic energy
∴ Total energy initial = Total energy final
let the mass of object be m and mass of planet be [tex]\mathbf{M_{p}}[/tex] and initial distance between object and center of plant is equal to 2R. let the speed of object of object on earth equal to v.
Initial Kinetic energy is zero(0) as it is at rest so its speed is zero.
Total energy initially on earth= [tex]\mathrm{-\frac{GMm}{(2R)^{2}}+0}[/tex]
Total energy initially on planet= [tex]\mathrm{-\frac{GM_{p}m}{(2R)^{2}}+0}[/tex]
Total Energy finally on earth = [tex]\mathrm{-\frac{GMm}{R^{2}}+\frac{1}{2}mv^{2}}[/tex]
Total Energy finally on planet = [tex]\mathrm{-\frac{GM_{p}m}{R^{2}}+\frac{1}{2}m(4v)^{2}}[/tex]
Solving equation of earth
[tex]\mathrm{-\frac{GMm}{(2R)^{2}}+0=-\frac{GMm}{R^{2}}+\frac{1}{2}mv^{2}}[/tex]
[tex]\mathrm{-\frac{GMm}{4R^{2}}=-\frac{GMm}{R^{2}}+\frac{1}{2}mv^{2}}[/tex]
[tex]\mathrm{\frac{GMm}{R^{2}}-\frac{GMm}{4R^{2}}=\frac{1}{2}mv^{2}}[/tex]
[tex]\mathrm{\frac{3GMm}{4R^{2}}=\frac{1}{2}mv^{2}}[/tex]
[tex]\mathrm{\frac{3GM}{2R^{2}}=v^{2}}[/tex]
[tex]\therefore\mathbf{v^{2}=\frac{3GM}{2R^{2}}}[/tex] _________eq(1)
Solving equation of planet
[tex]\mathrm{-\frac{GM_{p}m}{(2R)^{2}}+0=-\frac{GM_{p}m}{R^{2}}+\frac{1}{2}m(4v)^{2}}[/tex]
[tex]\mathrm{-\frac{GM_{p}m}{4R^{2}}=-\frac{GM_{p}m}{R^{2}}+\frac{16}{2}mv^{2}}[/tex]
[tex]\mathrm{\frac{GM_{p}m}{R^{2}}-\frac{GM_{p}m}{4R^{2}}=8mv^{2}}[/tex]
[tex]\mathrm{\frac{3GM_{p}m}{4R^{2}}=8mv^{2}}[/tex]
[tex]\mathrm{\frac{3GM_{p}}{32R^{2}}=v^{2}}[/tex]
[tex]\therefore\mathbf{v^{2}=\frac{3GM_{p}}{32R^{2}}}[/tex] ___________eq(2)
Using eq(1) and eq(2)
[tex]\mathrm{\frac{3GM_{p}}{32R^{2}}=\frac{3GM}{2R^{2}}}[/tex]
[tex]\mathrm{\frac{M_{p}}{16}=M}[/tex]
[tex]\therefore\mathbf{M_{p}=16M}[/tex]
Therefore mass of planet is 16 times the mass of Earth.
The mass of the planet is 16 times that of Earth. This is calculated based on the speed of a dropped object on the planet compared to Earth, which indicates its gravity and mass.
Explanation:The speed of a dropped object on another planet is determined by the acceleration due to gravity on that planet, which is influenced by the planet's mass. If the speed of the object upon arriving at the ground is four times greater on this planet vs. Earth, that indicates that the gravity (and thus the mass) of this planet is 16 times that of Earth. Therefore, in units of Earth masses, the mass of the planet is 16.
To further elucidate, the speed of the object when it hits the ground is proportional to the square root of the mass of the planet. Thus, if the speed is 4 times higher than what it would be on Earth, the mass of the planet must be 4^2, or 16 times the mass of Earth. Hence, the correct option is D. 16.
Learn more about planetary mass here:https://brainly.com/question/34699802
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Two men decide to use their cars to pull a truck stuck in mud. They attach ropes and one pulls with a force of 821 N at an angle of 32◦ with respect to the direction in which the truck is headed, while the other car pulls with a force of 1140 N at an angle of 26◦ with respect to the same direction.
What is the net forward force exerted on the truck in the direction it is headed?
Answer:
1737.8 N
Explanation:
Given information
[tex]F_1= 821 N[/tex]
[tex]F_2= 1140 N[/tex]
[tex]\theta_1=32^{\circ}[/tex]
[tex]\theta_2=26^{\circ}[/tex]
Net force, [tex]F_{net}=F_1 cos \theta_1+F_2 cos \theta_2=821cos 32^{\circ}+ 1140 cos 26^{\circ}=1737.833662 N \approx 1737.8 N[/tex]