Answer:
Approximately [tex]4.50 \times 10^{11}\; {\rm s}[/tex].
Explanation:
The speed of light is [tex]c \approx 3.00\times 10^{8}\; {\rm m\cdot s^{-1}}[/tex].
Note that the standard unit of energy, joule, is a derived unit. In terms of the standard base units:
[tex]\begin{aligned}1\; {\rm J} &= (1\; {\rm N})\, (1\; {\rm m}) \\ &= (1\; {\rm kg \cdot m \cdot s^{-2}})\, (1\; {\rm m}) \\ &= 1\; {\rm kg \cdot m^{2} \cdot s^{-2}} \end{aligned}[/tex].
Apply unit conversion and ensure that the unit of mass is in the standard unit kilogram ([tex]{\rm kg}[/tex]):
[tex]\begin{aligned} m &= 1\; {\rm g} \times \frac{1\; {\rm kg}}{10^{3}\; {\rm g}} &= 10^{-3}\; {\rm kg}\end{aligned}[/tex].
Apply the equation [tex]E = m\, c^{2}[/tex] to find the energy equivalent to [tex]m = 10^{-3}\; {\rm kg}[/tex] of matter:
[tex]\begin{aligned}E &= m\, c^{2} \\ &= (10^{-3}\; {\rm kg})\, (3.00 \times 10^{8}\; {\rm m\cdot s^{-1}})^{2} \\ &= 9.00\times 10^{13}\; {\rm kg \cdot m^{2} \cdot s^{-2}} \\ &= 9.00\times 10^{13}\; {\rm J} \end{aligned}[/tex].
Divide energy [tex]E[/tex] by power [tex]P[/tex] to find the duration [tex]t[/tex] of the power consumption:
[tex]\begin{aligned} t &= \frac{E}{P} \\ &\approx \frac{9.00 \times 10^{13}\; {\rm J}}{200\; {\rm J \cdot s^{-1}}} \\ &= 4.50 \times 10^{11}\; {\rm s}\end{aligned}[/tex].
In other words, the energy equivalent to [tex]1\; {\rm g}[/tex] of matter could power this fridge for approximately [tex]4.50 \times 10^{11}\; {\rm s}[/tex].
even a top baseball player will sometimes strike out on an easy pitch. when this happens, his next action may be to throw the bat or kick the water cooler with all his might.
"Misplaced aggression" is the term for it. Not just athletes express their sadness and enlightenment at failing to succeed, but individuals do as well.
Simply "suck it up buttercup," keep pushing yourself, and hit the next pitch for a "double" when it comes.
When we are enlightened with the truth, all sorrow ends. We become aware that we are not the body experiencing physical discomfort after we reach enlightenment.
We are not the mind that daydreams, fears, worries, stresses, feels anxious or depressed. The ego that suffers from rage, hatred, and envy is not who we are.
Therefore, all pain ends at that very instant of enlightenment when we know that we are the Divine Soul, the Spark Of Unique Life. After attaining enlightenment, suffering is a given.
Yes, there are difficulties with the body's, mind's, and ego's senses. There can be no more pain even if we are still being tested to determine whether we have reached full enlightenment.
To know more about enlightenment click on the link:
https://brainly.com/question/14368168
#SPJ4
1. What is the direction of the induced current in the front side of the coil?
a. Left
b. Right
c. Up
d. down
2. in what direction is the magnet moving?
a. Away
b. Toward
c. Up
d. Down
1. What is the direction of the induced current in the front side of the coil?
a. Left
b. Right
c. Up
d. down2. in what direction is the magnet moving?
a. Awayb. Toward
c. Up
d. Down
Hope it helps
To determine the direction of the induced current in the front side of the coil and the direction of the magnet's movement, we can use Faraday's law of electromagnetic induction, which states that an induced current is produced in a conductor when it is exposed to a changing magnetic field.
1.) Direction of the induced current in the front side of the coil:
The direction of the induced current can be determined using Lenz's law, which states that the induced current will flow in a direction that opposes the change that caused it.
If the magnet is moving away from the front side of the coil:
The magnetic field through the coil is decreasing. According to Lenz's law, the induced current will flow in a direction to create a magnetic field that opposes this decrease. Applying the right-hand rule for the direction of the magnetic field around a wire, we can determine that the induced current in the front side of the coil will flow counterclockwise when viewed from the front. Therefore, the answer is option a. Left.
2.) If the magnet is moving toward the front side of the coil:
The magnetic field through the coil is increasing. According to Lenz's law, the induced current will flow in a direction to create a magnetic field that opposes this increase. Applying the right-hand rule for the direction of the magnetic field around a wire, we can determine that the induced current in the front side of the coil will flow clockwise when viewed from the front. Therefore, the answer is option b. Right.
Direction of the magnet's movement:
Based on the given information, the options provided (Away, Toward, Up, Down) are not sufficient to determine the exact direction of the magnet's movement. More specific information is needed to determine the direction of the magnet's movement.
Learn more about direction on:
https://brainly.com/question/32262214
#SPJ2
a balloon is filled with helium gas how would the balloon volume change if it floated to a higher altitude (p decreases, assume n and t are constant)?
As we know, Pv= nRT where,
P : pressure
V : volume
n : number of moles
R : constant
T : temperature
According to question PV is constant therefore if balloon floats to a higher altitude where the outside pressure is lower than Volume will increase as a result of Boyle's Law. Therefore Figure C represents the final volume.
What is altitude?
A measurement of altitude or height is the distance between a location or item and a reference datum, often in the vertical or "up" direction. Depending on the circumstance, many definitions and reference points are appropriate.
Therefore,
a balloon is filled with helium gas how would the balloon volume change if it floated to a higher altitude (p decreases, assume n and t are constant)?
As we know, Pv= nRT where,
P : pressure
V : volume
n : number of moles
R : constant
T : temperature
According to question PV is constant therefore if balloon floats to a higher altitude where the outside pressure is lower than Volume will increase as a result of Boyle's Law. Therefore Figure C represents the final volume.
To learn more about altitude from the given link:
https://brainly.com/question/1159693
#SPJ9
is your interest equal to zero, meaning the line passes through the origin? if not then did we miss something when we said f in equation 5 was only due to spring force
When the angle between the force and the displacement is more than 90 degrees, work might be negative. It can also be zero; if = 90, this will occur.
The spring force, which defines the force applied to an object by the end of an ideal spring, is the most well-known illustration of a force whose value varies on position. An ideal spring will exert a force on the object attached to one end that is proportionate to how much it is stretched, and a force that is proportional to how much it is compressed on the object linked to the other end.
The force must function in order to accomplish its mission have a component that is parallel to the motion's direction or the opposite.
We must compute an integral (a sum) to determine the work done if the force acting on the object is not constant while it is moving.
Assume that an external force with the x component Fx(x) is acting on the object, causing it to travel in a straight line (let's say along the x axis, from xi to xf). (Or, we understand the force Fx to be a function of x.)
To know more about spring force click on the link:
https://brainly.com/question/14655680
#SPJ4
A football player running at a velocity of 9.0m/s hits the goal post and come to a stop in 0.0sec . calculate his acceleration. (a) find this acceleration in ft/sec ?
The acceleration during uniform motion in ft/sec is -98.42.
We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
vo = 9 m/s
t = 0.3 s
vt = 0 m/s
Calculate the acceleration in m/s
vt = vo + at
0 = 9 + a.0.3
a = -9/0.3
a = -30 m/s²
Convert to feet/s
a = -30 m/s
a = -98.42 ft/s
Find more on uniform motion at: https://brainly.com/question/28040370
#SPJ4
A solid metal sphere of radius 4. 00 m carries a total
charge of -2. 40 μC.
How would the answers differ if the sphere was thin
A solid metal sphere of radius 4. 00 m carries a total charge of -2. 40 μC.
The solid metal sphere would still carry a total charge of -2.40 μC if it becomes thin.
The reason is that charges always remain the same as long as it is placed on the surface of the sphere. The charge will become zero if we place it inside the metal sphere.
As long as the charge stays at the surface of the sphere, it will remain the same even if we make the sphere thin.
This concludes that the solid metal would still carry a total charge of -2.40 μC if it becomes thin.
If you need to learn more about charge on metal sphere, click here
https://brainly.com/question/14575050?referrer=searchResults
#SPJ4
A tennis player hits a ball vertically with a speed of 10 m/s. How high does it go?
Answer:
5.1 m
Explanation:
Assuming gravitational force is 9.8 m/s², the acceleration experience by the ball is -9.8 m/s²
The acceleration is negative because the ball is moving vertically upward and gravitational force acts vertically downward.
The velocity of the ball at maximum height is 0 m/s when it will start falling back to ground at a positive acceleration of 9.8 m/s²
We can use the following formula to calculate the height the ball reaches
v² = u² + 2 a d
where u is the initial velocity, v = final velocity, a = acceleration and d = displacement(in this case the vertical height from ground)
Final velocity is 0 since the ball has reached it maximum height and starts falling downward, Initial velocity u = 10 m/s
Plugging in values we get
0² = 10² - 2 x 9.8 x d
0 = 100 - 19.6d
Subtracting 100 from both sides
-100 = -4.9 d
Divide by -1 both sides
100 = 4.9d
d = 100/4.9 ≈ 5.1 m
So the ball will reach a height of 5.1m
Not all organelles are found in all cells. For example, red blood cells do not have a nucleus. Imagine looking
at a cell that is responsible for producing a lot of large molecules to be excreted from the cell into the body
(like the cells of the endocrine glands of the pancreas). Predict if you expect to see each of the above
organelles in this cell and then justify your prediction with evidence from this page.
Organelles are small structures present inside the cell body in order to regulate the various functions of cell .
What is an organelle and how does it functions?An organelle is a specialized structure present inside the cell body and is responsible for carrying out various functions.There are numerous cell organelles like cytoplasm, nucleus , nucleolus, mitochondria , golgi apparatus etc.All the cell organelles have specific function inside the cell , depending on whether the cell body is prokaryote or eukaryote.Eukaryotic cell have all the organelles present almost , but prokaryotic cell lacks in few organelles.Its truly said that not all organelles are found in all cells. And red blood cells do not have nucleus.To know more about organelles visit:
https://brainly.com/question/2135497
#SPJ13
Roger the Rooster speeds up from 0 m/s to 2.5
m/s. If he covers 7.5 meters during this time, what
was his acceleration in m/s/s?
The acceleration of Roger the Rooster is equal to 0.4167 meters per seconds square (m/s/s).
What is an acceleration?An acceleration can be defined as the rate of change of the velocity of a physical object or body with respect to time.
How to calculate the acceleration of Roger the Rooster?In order to determine the acceleration of Roger the Rooster, we would apply the third equation of motion. Mathematically, the third equation of motion is given by:
V² = U² + 2aS
Where:
V represents the final velocity.U represents the initial velocity.S represents the distance travelled or covered.a represents the acceleration.Making a the subject of formula, we have:
a = (V² - U²)/2S
Substituting the given parameters into the formula, we have;
Acceleration, a = (2.5² - 0²)/2(7.5)
Acceleration, a = 6.25/15
Acceleration, a = 0.4167 m/s/s.
Read more on acceleration here: brainly.com/question/24728358
#SPJ1
A 1167 kg car is driving along a highway with 458,350 J of kinetic energy.
What is its speed?
The speed of the car having kinetic energy 458,350 J is 28.03m/s
What is What is Kinetic Energy ?
Kinetic energy is a type of power that a moving object or particle possesses. An item accumulates kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force. A moving object or particle has kinetic energy, which depends on both its mass and its rate of motion. The type of motion can be vibration, rotation on an axis, translation (or travel along a path from one place to another), or any combination of these.
K.E = 1/2*m*v2
K.E = kinetic energy
m = mass
v = velocity/speed
458350 = 1/2*1167*v2
v2= 458350*2/1167
v = 28.03 m/s
The speed of the car having kinetic energy 458,350 J is 28.03m/s
To know more about kinetic energy from given link
https://brainly.com/question/8101588
#SPJ9
An iodine atom has 53 protons. How many electrons does an
iodine anion have?
Answer:
Since the iodine is added as 1-anion, the number of electrons is 54( 53-(1-) =54
Which of the answers below are examples of moderate activities?
A- walking slowly, floating in a pool, bicycling 2-3 mph
B- playing video games, sleeping, watching TV
C- bicycling 5-9 mph, walking briskly, recreational swimming
Exercises that register between 3 and 6 METs are considered moderate- intensity activities because they get you moving quickly enough or vigorously enough to burn off three to six times as much energy per minute as you do while you're sitting still.
What purpose do moderate activities serve?Chronic Heart Disease
Your chance of developing these diseases can be decreased by engaging in at least 150 minutes of moderate physical activity each week. By engaging in additional exercise, you can further lower your risk. Additionally, regular exercise helps lower blood pressure and lower cholesterol.
Which courses are moderately paced?Your heart rate will rise while you engage in moderate aerobic activity, and you'll also feel warmer and breathe more quickly than usual.
This may entail taking a quick stroll.
leisurely cycling or cycling on flat land.mild swimmingAquatic exercise.tennis doubles. volleyball.What would you say is moderate intensity exercise?A quick method to gauge relative intensity is the conversation test. In general, you can converse but not sing while engaging in moderate-intensity exercise. In general, you won't be able to speak for more than a few words without pausing to take a breath if you're engaging in vigorous-intensity activities.
To Learn more About Moderate activities, Refer:
https://brainly.com/question/16797771
#SPJ13
What factors influence the amount of kinetic energy an object has?
By the relation of KE = ½mv²,
the kinetic energy in a body is directly proportional to its mass and square of velocity.
What atom does this represent?
Answer:
Carbon (C)
Explanation:
Usually an atom had the same amount of protons as it does electrons which means the atom has 6 protons.
Carbon is the atom that contains 6 protons.
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Alex brings a bag of trail mix to
school. He empties the bag
and measures the total mass
of the trail Then he separates
the nuts, chocolate, and raisins
into individual piles. He eats
the chocolate and then
measures the mass of the
remaining two piles. He
records his data in the table
What was the mass of the
chocolate that Alex ate?
Place a +3q point charge at the origin, and a -q point charge on the x-axis at D = 0.500 m. At what point on the x-axis will the net forces from the other two charges acting on a third charge, q°, be equal to zero?
The Point on the x-axis that the net forces from the other two charges acting on a third charge, q°, will be equal to zero is
x=1.72units
This is further explained below.
What are forces?Generally, The total amount of forces exerted on an item is referred to as its net force. The total of N forces exerted on an item is given in the equation below.
The total force operating on an item, which may include a number of different forces, is known as the net force acting on the object.
The n forces operating on an item are added up in this equation. According to this formula, the amount of net force exerted on an item is equal to the mass times the acceleration of the object.
+3q <------>+11q
[tex]&\frac{1}{4 \pi E v}\left(\frac{3 q}{x^2}-\frac{11 q}{(5-x)^2}\right)=0 \\\\&\frac{3}{x^2}=\frac{11 q}{(5-x)^2} \\&\frac{5-x}{x}=\sqrt{\frac{11}{3}}=1.91 \\\\[/tex]
5-x=1.91 x
=1.715
=1.72units
Read more about forces
https://brainly.com/question/13191643
#SPJ1
7. Falling objects drop with an acceleration of 9.8 m/s².
If an Olympic high diver steps off the 10 m platform and falls for 1.4s,
what velocity will she enter the water at?
Explanation:
velocity=distance/time
v=10m/1.4sec
Answer:
13 . 7 m/s
Explanation:
v = a t
= acceleration time
= 9.8 m/s^2 * 1.4 s = 13.7 m/s
Explain the difference between the Bohr model and the electron cloud model.
The main difference between the Bohr model and the electron cloud model is explained as, in Bohr's model, orbital paths around the nucleus are treated as discrete electron energy levels but the electron cloud model is a group of electrons circulating around a nucleus or a molecule. Usually refers to the valence electrons.
Some physical quantities can only have discrete values according to quantum theory, Niels Bohr proposed a hypothesis for the hydrogen atom in 1913 i.e. Only in their predefined orbits do electrons move around a nucleus, if they deviate, the energy difference is released as radiation.Erwin Schrodinger, an Austrian physicist, created the electron cloud model in 1926. It was made up of an electron cloud with many different orbital levels surrounding a dense nucleus i.e. negative electrons circle the positive nucleus at fixed distances from the nucleus.According to Erwin Schrodinger, electrons move in waves, making it impossible to accurately determine where they are at any given time. To determine the probability of an electron existing in a specific place, he created an equation.To know more about Bohr model
https://brainly.com/question/10114170
#SPJ1
Please help, asap!
Will mark as brainliest!
Answer:
a1)gravity
not sure on others
Explanation:
cause the gravity force pulls u down
Answer:
a) i) Gravitational force
ii) Air resistance
b) (I cannot understand what is the question saying but the unit of acceleration is m/[tex]s^{2}[/tex] or [tex]ms^{-2}[/tex])
ii) Because when the parachutist is falling, the gravitational force is pulling him down. But the air resistance is pushing him upwards acting against the gravitational force resulting in a decreasing acceleration.
iii) This is because soon the air resistance catches up with that of the gravitational force and it cancels the gravitational force so he is falling in a constant velocity. This is called terminal velocity when the gravitational force gets cancelled resulting in a free fall where his weight brings him down.
Stephen learned that any two objects exert a gravitational force on each other. If the distance between two objects triples, the gravitational force between them will change by a factor of what?.
Stephen learned that any two objects exert a gravitational force on each other. If the distance between two objects triples, the gravitational force between them will change by a factor of 9.
What is gravitational force?
The gravitational force is the force of attraction between all masses in the universe; especially the attraction of the earth's mass for bodies near its surface. gravitational force also causes objects to fall.
The mathematical expression for the gravitational force when everything is at normal is given by:
F₁ = G(m₁m₂) / r²
When the distrance is tripled, the expression will be:
F₂ = G(m₁m₂) / 3r²
F₂ = G(m₁m₂) / 9r² = 1/9F₁
The new force gets reduced to 9th fraction of the actual force. now we want the new and actual force to be equal to:
F₂ = F₁/9
9F₂ = F₁
Therefore the mass of one of the body should be increased by 9 times.
From the question above; the gravitational force between the objects is inversely proportional to the square of the distance between the object.
Learn more about gravitational force here:
https://brainly.com/question/13463635?referrer=searchResults
#SPJ4
PLEASE HELP PHYSICS
A miniature quadcopter is located at
xi = −2.25 m
and
yi = −4.70 m
at
t = 0
and moves with an average velocity having components
vav, x = 1.70 m/s
and
vav, y = −1.50 m/s.
What are the x-coordinate and y-coordinate (in m) of the quadcopter's position at
t = 2.60 s?
Answer:
Final coordinates in meters : (2.17, -8.6)
Explanation:
We have the equation
displacement Δd = average velocity x time
In this case there are two components of displacement corresponding to the two components of average velocity
[tex]v_{avg}(x) = 1.70 \; m/s[/tex]
[tex]v_{avg}(y) = -1.50 \; m/s[/tex]
Time traveled is t = 2.60s
So the x component is toward east (+x) axis and y component is due south(-y axis)
[tex]\sf{x \;displacement \;} \Delta_x = v_{avg}(x) x t= 1.70m/s \; \times \; 2.60 = 4.42 m\\\\[/tex]
Since the original x-coordinate was at -2.25m, the end x coordinate is
x = -2.25 + 4.2 = 2.17
The y-displacement
[tex]\sf{y \;displacement \;} \Delta_y = v_{avg}(y) x t\\\\ = - 1.50m/s \; \times \; 2.60 = - 3.9 m\\\\\\\\[/tex]
The starting y-coordinate was at y = -4.70m
So final y-coordinate = -4.7 - 3.9 = -8.6m
Final coordinates in meters : (2.17, -8.6)
A rock climber stands on top of a 53 m -high cliff overhanging a pool of water. He throws two stones vertically downward 1.0 s apart and observes that they cause a single splash. The initial speed of the first stone was 1.5 m/s. How long after the release of the first stone does the second stone hit the water?
Express your answer to two significant figures and include the appropriate units.
A rock climber stands on the top of a 53 m high cliff overhanging a pool of water, so for 3.1 seconds, after which the second stone hit the water.
What is the average speed?The overall distance the object covers in a given amount of time is its average speed. The scalar quantity represents the average speed. It does not have direction; it is represented by magnitude.
Average Speed= [tex]Total\ Distance/ Total\ time[/tex]
According to the question, the given values are :
v₁ = 1.5 m/s
y₂ = 52 m
y₁ = 0 m
Acceleration, a = 9.8 m/s²
Use Formula :
y₂ = y₁ + v₁t + 0.5 at²
52 = 0 + 1.5t + 0.5 (9.8)t²
4.9 t² + 1.5 t - 52 = 0
[tex]t=-b\frac{+}\ \sqrt{b^2-4ac}/2a[/tex]
t = -1.5 + [tex]\sqrt{2.25+1019.2}[/tex]/9.8
t = (-1.5 + 31.9)/9.8
t = 3.10 seconds.
Hence, the time period will be 3.10 seconds.
To get more information about Average Speed :
https://brainly.com/question/9834403
#SPJ1
If there were two more carts of equal size and mass added to the ride, what would the coaster’s kinetic energy be at location X?
If there were two more carts of equal size and mass added to the ride, then the coaster’s kinetic energy will be decreased at location X because of increasing weight.
What is kinetic energy?Kinetic energy is a type of energy that is present in an object because of its motion. If work is done on an object by applying a force, the object's speed increases and therefore gains kinetic energy. The two main factors that affect kinetic energy are the mass and speed of that object because the motion of an object depends on how fast the object is traveling and it also depends on the mass. But in this case, the mass is added to the object but the force remains the same then the kinetic energy of that object decreases.
So we can conclude that the kinetic energy will decrease when two carts of having equal size and mass.
Learn more about kinetic energy here: https://brainly.com/question/8101588
#SPJ1
hello please help me out its due today!!
I need to make a word problem using the Ohm's Law, and solve it with shown work, Thank you!
Answer:
no se entiende nada lo siento
Scarcity impacts opportunity costs because most resources are limited. Which of the following resources is not considered scarce?
trash
clean air
oil
fresh water
The resource that is not considered scarce among the four given options is trash.
Trash is available in limited quantity. But a human being has no use for trash. So, trash is undesirable. Therefore, it not considered a resource. A resource mush have value or benefits.
Clean air is considered scarce because, there are some parts of world where you have to spend some money to keep the air clean. Oil is considered scarce because of increase in oil prices all over the world. Fresh water is considered scarce because only 3% of the world's water is fresh water and 2/3rd of it not accessible.
Therefore, the resource that is not considered scarce among the given options is trash.
To know more about scarcity
https://brainly.com/question/19920929
#SPJ1
a boy wishes to cross a river in the shortest possible time, without necessarily landing directly across from his starting point. he can row at 2 m/s in still water and the river is flowing at 1 m/s. at what angle θ should he point the bow (front) of his boat?
He should bow his boat at 90° to cross the river.
While the water will push him in side ways, it will not affect the time it takes to actually cross the river.
Hence, the correct answer is 90°.
Factors that have an effect on the velocity of a river consist of the slope gradient, the roughness of the channel, and tides. Rivers generally tend to drift from a higher elevation to a lower elevation. The gradient is the drop of the elevation of a river.
Reverberation is the time taken for the sound to fall beneath the minimal audibility measured from the immediate whilst the supply stopped sounding. Therefore if the reverberation time will become too massive it produces an echo.
Due to velocity of water drift in river, a person either swimming or floating stationary within the river reports a pushing force alongside the flow direction.
Learn more about river crossing here:- https://brainly.com/question/28036597
#SPJ1
Calculate the average velocity of the cart for each fan speed. round your answers to the nearest tenth. the cart with low fan speed has an average velocity of cm/s. the cart with medium fan speed has an average velocity of cm/s. the cart with high fan speed has an average velocity of cm/s.
The average velocity of the cart for each fan speed to the nearest tenth is as follows:
The cart with low fan speed has an average velocity of 67.6 cm/s. The cart with medium fan speed has an average velocity of 78.1 cm/s. The cart with high fan speed has an average velocity of 90.9 cm/s.What is average velocity?An average velocity can be defined as the total distance covered by a physical object divided by the total time taken.
Mathematically, the average velocity of a physical object can be calculated by using this formula:
Average velocity = Total distance/Total time
The average velocity of the cart with low fan speed is given by:
Average velocity = 500/7.4
Average velocity = 67.57 ≈ 67.6 cm/s.
Also, the average velocity of the cart with medium fan speed is given by:
Average velocity = 500/6.4
Average velocity = 78.13 ≈ 78.1 cm/s.
Lastly, the average velocity of the cart with high fan speed is given by:
Average velocity = 500/5.5
Average velocity = 90.91 ≈ 90.9 cm/s.
Read more on average velocity here: https://brainly.com/question/10436437
#SPJ1
what is the initial mechanical energy of the woman falling from the building what is her final mechanical energy
A student releases a marble from the top of a ramp. The marble increases speed while
on the ramp then continues across the floor. The marble travels a total of 220cm in
5.00s.
What was the marble's final speed?
Marble's final speed, Vf = 0.88 m/s
What is displacement and velocity?Vector difference between the final and initial positions of an object is displacement. It is different from the distance the object has travelled along the way.
Velocity is a vector quantity and is defined as the displacement that an object undergoes with respect to time . Meter per second is the standard unit of velocity.
Given distance= 220cm and
time = 5 sec
We can calculate acceleration of the marble by using 2nd equation of motion:
s = Vi t + (1/2)at²
s = distance covered = 220 cm = 2.2 m
Let Vi = initial Velocity
= 0 m/s (as the marble was initially at rest)
To find acceleration, a = ?
2.2 m = (0 m/s)(5 s) + (1/2)(a)(5 s)²
a = (2.2 m)(2) / (5 s)²
a = 0.176 m/s²
Using 1st equation of motion for final velocity (Vf)
Vf = Vi + at
Vf = 0 m/s + (0.176 m/s²)(5 s)
Vf = 0.88 m/s
To know more about displacement and velocity, refer
https://brainly.com/question/24445340
#SPJ13
A 12100 kg railroad car is coasting on a level, frictionless track at a speed of 19. 0 m/s when a 4790 kg load is dropped onto it. If the load is initially at rest, find the new speed of the car and the % change of the kinetic energy.
The new speed of the car after the collision is 13.61 m/s.
The change in the kinetic energy is -619,764.92 J.
What is the new speed of the car?
The new speed of the car can be determined by applying the principle of conservation of linear momentum as follows;
Pi = Pf
m₁v₁ + m₂v₂ = v(m₁ + m₂)
where;
m₁ is the mass of the carm₂ is the mass of the loadv₁ is the initial velocity of the carv₂ is the initial velocity of the loadv is the final velocity of both mass(12100 x 19) + (4790 x 0) = v(12100 + 4790)
229,900 = v(16,890)
v = 229,900 / 16,890
v = 13.61 m/s
The change in the kinetic energy is calculated as follows;
K.Ei = ¹/₂m₁v₁² + ¹/₂m₂v₂²
K.Ei = ¹/₂(12100)(19²)
K.Ei = 2,184,050 J
K.Ef = ¹/₂v²(m₁ + m₂)
K.Ef = ¹/₂(13.61²)(12100 + 4790)
K.Ef = 1,564,285.1 J
The change in the kinetic energy is calculated as follows;
ΔK.E = K.Ef - K.Ei
ΔK.E = 1,564,285.1 J - 2,184,050 J
ΔK.E = -619,764.92 J
Learn more about kinetic energy here: https://brainly.com/question/25959744
#SPJ1