Mechanical energy = Kinetic Energy + Potential Energy
Kinetic Energy :Kinetic energy = 1/2 * m * v² = 1/2 * 3.5 * (10)²
=> Kinetic energy = 175 J
Potential Energy :Potential energy = m * g * h = 3.5 * 10 * 3 = 105 J
Hence,
Mechanical energy = Kinetic Energy + Potential Energy
= 175 J + 105 J
= 280 J
Taking into account the potencial, kinetic and mechanical energy, the total mechanical energy is 278.005 J.
Potencial energyPotential energy refers to the position that a mass occupies in space and its magnitude is directly proportional to the height at which the object is, with respect to a reference position, to the mass of the object and to gravity:
Ep = m×g×h
Kinetic energyOn the other hand, kinetic energy manifests itself when bodies move and is associated with speed. The kinetic energy of a body depends on its mass and the square of its speed:
Ec = [tex]\frac{1}{2}[/tex]×m×v²
Mechanical energyThe mechanical energy of a body is the capacity it has to carry out mechanical work, that is, to produce a movement due to causes of mechanical origin, such as its position or its speed.
The mechanical energy of a body is the sum of its kinetic energy and its potential energy:
Em = Ep + Ec
Where
Em is the mechanical energy (J).Ep the potential energy (J). Ec the kinetic energy (J).Then:
Em= m×g×h + [tex]\frac{1}{2}[/tex]×m×v²
Principle of conservation of mechanical energyThe Principle of conservation of mechanical energy indicates that, in the absence of friction and without the intervention of any external work, the sum of the kinetic and potential energies remains constant, that is, the mechanical energy of a body remains constant throughout the movement. if no friction force acts.
This caseIn this case, you know that:
m= 3.5 kgg= 9.81 [tex]\frac{m}{s^{2} }[/tex]h= 3 mv= 10 [tex]\frac{m}{s}[/tex]Complying with the Principle of Conservation of Mechanical Energy and replacing in the expression of mechanical energy:
Em= 3.5 kg×9.81 [tex]\frac{m}{s^{2} }[/tex]×3 m + [tex]\frac{1}{2}[/tex]×3.5 kg×(10 [tex]\frac{m}{s}[/tex])²
Solving:
Em=103.005 J + 175 J
Em= 278.005 J
Finally, the total mechanical energy is 278.005 J.
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Examine the Pythagorean theorem below. In this form you can find the length of the hypotenuse c) of a right triangle if you know the lengths of the two short sides (a &). Solve this equation for the short side b. If you need to indicate a square root in your answer, type it like this: root * (e + f) to mean the square root of the sum (e + f) . For example, the equation below can be typed as c = root (a^ ^ 2+b^ ^ 2)
Answer:
what is the number
Explanation:
ASAP PLEASE HELPPP
Examine the image of the Hertzsprung-Russell diagram.
The H-R Diagram. The y axis shows Luminosity in solar units increasing in increments of the power of 1 from 10 from bottom to top. The x axis shows Surface Temperature in Kelvin, decreasing from left to right. Supergiants are yellow white, luminosity between 10 superscript 4 solar units and 10 superscript 5 solar units. Main is blue white, luminosity 10 superscript 4. Sequence is blue white, luminosity 10 superscript 3. Giants are red and orange, luminosity between 10 superscript 2 and 10 superscript 3. Sun is yellow, luminosity between 1 and 10. AB Doradus C is red, luminosity 10 superscript negative 3. White Dwarfs are blue, blue white, white, yellow white, and yellow, luminosity from 1 to 10 superscript negative 4.
Which characteristic describes the stars indicated by the arrow in the image?
cool
hot
large
small
Answer:
The answer is cool.
Explanation:
If you look at the diagram then you can see that the star being pointed to is orange-ish. Red and orange stars are the more cooler ones.
Cool is the characteristic that describes the stars indicated by the arrow in the image. Therefore, the correct option is option A.
What is star?A star is an extremely bright ball of primarily hydrogen and helium-based gas that is kept together through its own gravity. The star is supported against gravity by nuclear fusion events at its core, which also yield photons, heat, and trace quantities of heavier elements.
The star is created when hydrogen nuclei start to fuse into helium nuclei at a temperature of roughly 10 million K (18 million °F) in the gas. The expanding star's core emits energy through nuclear fusion, which eventually slows the gas cloud's collapse. Cool is the characteristic that describes the stars indicated by the arrow in the image.
Therefore, the correct option is option A.
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what is modulus of elasticity for shearing stress and strain called?
Which of the following is not a physical property ? A . The ability of a substance to dissolve in water. B . The ability of a substance to react with oxygen C . The ability of a substance to change directly into gas? D . The ability of a substance to melt at a specific temperature .
Answer:
b because to react with something makes it a chemical reaction
Explanation:
What is the density of a billiard ball that has a volume of 100 cm3 and a mass of 250 g?
Answer:
The answer is 2.50 g/cm³Explanation:
The density of a substance can be found by using the formula
[tex]density = \frac{mass}{volume} \\[/tex]
From the question
mass = 250 g
volume = 100 cm³
So we have
[tex]density = \frac{250}{100} = \frac{5}{2} \\ [/tex]
We have the final answer as
2.50 g/cm³Hope this helps you
What is the mechanism that allows species to change over time?
Answer:
Evolution, mutation of genes
Explanation:
Evolution is the primary reason of undergo changes in speicies.There is also another reason why, which is the genetic mutation a creature has, like a toad becomes albino.
A water balloon is dropped from 196 meters above the surface of Earth, from an
airplane traveling at 98 m/s. What are the horizontal and vertical speeds of the balloon
when it hits the ground if it takes 6.3 seconds to drop to the surface of Earth?
Answerspeed = 0.0333333 meters per second
= 0.0333333 m/s
Explanation:
i'm not 100% sure but i think that's the answer
1. What are the properties of a compound? Give an example.
Answer:
A compound has unique properties that are distinct from the properties of its elemental constituents. One familiar chemical compound is water, a liquid that is nonflammable and does not support combustion. It is composed of two elements: hydrogen, an extremely flammable gas, and oxygen, a gas that supports combustion.
The Indianapolis Motor Speedway has four banked curves, each of which forms a quarter of a circle. Suppose a race car speeds along one of these curves with a constant tangential speed of 75.0 m/s. Neglecting the effects due to the banking of the curve, the centripetal acceleration on the car is 22.0 m/s2. What is the radius of the curve?
Answer:
r = 255.68 m
Explanation:
When a body moves in a circular path, an acceleration, due to constant change in its direction, is developed, known as centripetal acceleration. The centripetal acceleration acts towards the center of the circular path. The formula to calculate the centripetal acceleration is given as follows:
ac = v²/r
where,
ac = centripetal acceleration = 22 m/s²
v = tangential speed = 75 m/s
r = radius of curve = ?
Therefore,
22 m/s² = (75 m/s)²/r
r = (75 m/s)²/(22 m/s²)
r = 255.68 m
The periodic table displays
A.
only the important compounds that exist in the world.
B.
only the important elements that exist in the world.
C.
all of the known elements that exist in the world today.
D.
all of the known compounds that exist in the world today.
Answer:
C
Explanation:
the periodic table of elements only consist of elements and all of the elements found in the world
A car stops with an acceleration of -20 m/s/s in 8 seconds. How far did it go while stopping?
Answer:
640 m.
Explanation:
The following data were obtained from the question:
Acceleration (a) = –20 m/s/s
Time (t) = 8 s
Final velocity (v) = 0 m/s
Distance (s) =.?
Next, we shall determine the initial velocity (u) of the car. This can be obtained as follow:
Acceleration (a) = –20 m/s/s
Time (t) = 8 s
Final velocity (v) = 0 m/s
Initial velocity (u)
a = (v – u) / t
–20 = (0 – u) / 8
–20 = – u / 8
Cross multiply
–20 × 8 = – u
– 160 = – u
Divide both side by – 1
u = – 160 / – 1
u = 160 m/s
Finally, we shall determine the distance travelled by the car before stopping as follow:
Time (t) = 8 s
Final velocity (v) = 0 m/s
Initial velocity (u) = 160 m/s
Distance (s) =.?
s = (v + u)t /2
s = (0 + 160) × 8 /2
s = (160 × 8) /2
s = 1280 / 2
s = 640 m
Therefore, the car travelled 640 m before stopping.
data?
11.) Hair color, gender, birthday, softness of a pillow are all examples of
A.) Qualitativel
B.) Quaternary
C.) Quantitatſve
A player kicks up a ball at an angle θ with the horizontal. The horizontal range is maximum when θ is equal to
Answer:
The horizontal range is maximum when θ is equal to 45°
Explanation:
Projectile Motion
It's known as the type of motion that experiences an object that is projected near the Earth's surface and moves along a curved path exclusively under the action of gravity.
Being vo the initial speed of the object, θ the initial launch angle, and [tex]g=9.8\ m/s^2[/tex] the acceleration of gravity, then the maximum horizontal distance traveled by the object (also called Range) is:
[tex]\displaystyle d={\frac {v_o^{2}\sin(2\theta )}{g}}[/tex]
Since the sine of an angle is bounded between -1 and 1, the maximum range will occur when the sine is 1:
[tex]\sin(2\theta)=1[/tex]
The only angle between 0° and 360° whose sine is 1 is 90°, thus:
[tex]2\theta=90^\circ[/tex]
Solving:
[tex]\theta=45^\circ[/tex]
The horizontal range is maximum when θ is equal to 45°
The horizontal range is maximum for the value of angle equivalent to [tex]45^{\circ}[/tex].
Given data:
The player kicks the ball with an angle [tex]\theta[/tex] with the horizontal.
The given problem is based on the concept and fundamentals of projectile motion. In a projectile motion, the horizontal range is the horizontal distance covered by an object during its trajectory.
The mathematical expression for the horizontal range is given as,
[tex]R = \dfrac{u^{2}sin2 \theta}{g}[/tex]
Here,
R is the horizontal range.
u is the initial speed.
And g is the gravitational acceleration.
Clearly, if we need maximum horizontal range, then we need to have the maximum value of sine. So if,
[tex]\theta =45^{\circ}[/tex]
[tex]sin2 \theta=sin90[/tex] = 1
So the maximum range is,
[tex]R = \dfrac{u^{2}sin(2 \times 45^{\circ})}{g}\\\\R = \dfrac{u^{2} \times sin 90^{\circ}}{g}\\\\R = \dfrac{u^{2}}{g}[/tex]
Thus, we can conclude that the horizontal range is maximum for the value of angle equivalent to [tex]45^{\circ}[/tex].
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How much work is done when a body of mass m is raised to a height h above the ground?
Answer:
So if an object of mass m is raised through a height h, the work done on the object is equal to mgh, and so this amount of energy is transferred to the object. (Notice that this equation is identical to the one describing an object falling under gravity, Equation
value of mass of a body is fixed everywhere. true or false
Answer:
Mass of a body is fixed everywhere. True
Explanation:
What is mass ?Mass is the amount of matter of a body. it is a fundamental quantity. It is a dimensionless quantity.is dimensional symbol is [M].Since amount of a matter is not dependent of place or position therefore it remains same at everywhere.
Hence value of mass of a body is fixed everywhere.
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1.A storm is moving toward your house at a speed of 30 km/hr. It is now 60 km away from your house. In what time will the storm reach your house?
Computer-enhanced x-rays are called __________ scans.
A. TMS
B. PET
C. CT
D. MRI
Answer:
I think the answer is C
Explanation:
EDGE 2020
Computer-enhanced x-rays is called as Computed Tomography (CT) scans. Hence option C is Correct.
What is Computed Tomography (CT) scans ?Computed tomography scan is a medical imaging technique used to get images of our body which is under study. Radiographers or radiology technologists are skilled to handle this machine. It is also know as computed axial tomography scan (CAT scan). it is used to get internal images of the body. It uses rotating X-ray tube and a detector.
CT scans are more detailed than standard X-rays. In standard X-rays, a beam of X-ray is triggered at the body, the beam passes through the body and it gets imposed on the photographic plate which is behind the body. Variation in intensity on the photographic film shows the internal structure of the body. it can not give information about internal organs and other structures.
CT scan combines X-ray images taken at different angles around your body and uses computer for processing to create images (slices) of the bones, and blood vessels. CT scan images gives more-detailed information than X-ray.
Hence option C is correct.
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1) The time-rate of change of velocity is
A. acceleration B. distance
C. speed
D. velocity
Answer:
A) acceleration because it's definitely change in velocity definition
True or false. A high gear ratio = more speed = more force.
Answer:
False
Explanation:
I took the test and true was incorrect so the answer is false
hope this helps
Answer:
False
Explanation:
False. A high gear ratio = less speed = more force
What is the smallest unit that makes up matter?
alloys
atoms
chemicals
molecules
Answer:
atoms
Explanation:
.....(✿^‿^).......
Answer:
atom
Explanation:
An atom is the smallest unit of matter that retains all of the chemical properties of an element
If there is 10% sales tax on a car costing $18,000
How much is the sales tax?
O $180
O $1800
O $1.80
O $800
Answer:
180
Explanation:
i think
True or False: Exercise is an underrated stress reliever and can be used to 25
overcome mental, physical, and emotional battles."
O True
False
Answer:
I think it is true I'm not saying it is but if you get another person who says its true say true
Explanation:
Lien is pushing a box across a table. She used a force of 100 N to get the box moving. Which force did she overcome to get the box moving?
a)the downward force of gravity on the box
b)the upward force of the table on the box
c)the reaction force on the box
d)the push force on the box
We have that from the options, the force require to move the table will be the Reaction force.i.e the force that will get a reaction out of the table i.e is Motion
The reaction force on the box
Correct Option is C
From the question we are told
Lien is pushing a box across a table. She used a force of 100 N to get the box moving
Generally The Force Requird to Move a table is greater than the contiunes force applied to it to en sure it contines in Motion.
Having said that Newtons Third law states for every action there most be an equal and opposite reaction
Therefore
From The options the force require to move the table will be the Reaction for.that is the force that will get a reaction out of the table i.e is Motion
Correct Option is C
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Some parts of this window look brighter than others, even though the same amount of sunlight is striking all parts of the window.
This is happening because some of the light striking the window is
OA. being absorbed.
ОВ.
causing the window to break.
OC. being changed into sound.
OD. being changed into electricity.
Answer:
A
Explanation:
so it looks unequell but it is.
Express the number in scientific notation: 4/100
Answer:
4*10^-2
Explanation:
for the scientific notation the first number must be between 1 and 10, so in this case it is 4. 4/100 is also equal to 0.04, and if we could the number of places before 4, there are two, therefore 4 times 10 to the power of -2
A skater increase her velocity from 3 m/sec to 18 m/sec in 6 seconds.what is the skaters acceleration
1. Surface temperatures on the planet Mars range from –89 °C to –31 °C. Express this temperature range in Kelvin.
2. The average surface temperature on Jupiter is about 165K. Express this temperature in degrees Celsius.
3. The average surface temperature on Saturn is 134K. Express this temperature in degrees Celsius.
4. The average surface temperature on the dwarf planet Pluto is 50K. Express this temperature in degrees Celsius.
5. The Sun has several regions. The apparent surface that we can see from a distance is called the photosphere. Temperatures of the photosphere range from 5,000 °C to 8,000 °C. Express this temperature range in Kelvin.
please helpp meee write the analysis and then answer the next pic
RETAKE - A push or a pull that causes an object to change its motion is called!
:: inertia
:: a force
:: momentum
:: gravitational field force strength
:: mass
Answer: Force
Explanation: Force is defined as a push or pull acting on an object
Answer:
Force is defined as a push or pull acting on an object. Forces include gravity, friction, and applied force. Force causes changes in the speed or direction of motion. These changes are called acceleration.
Explanation:
The ___ of the element always start with capital letter.
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