One end of a spring with a constant of 9.0 N/m is attached to the ceiling, and a 1.6 kg block hangs from the other end at rest to initiate simple harmonic motion, you gently pull the block down through a vertical distance of 4.4 cm and then release it. The block oscillates in vertical simple harmonic motion How long does it take the block to first reach its highest position after you release it?
The correct answer is t = 0.21 sec.
Spring constant K = 9.0 N/m
Mass of the block = m = 1.6 kg
If the block is stretched away from equilibrium paint by distance y then restoring force is
F_(restoring) = ky = ma
a = (k/m) y
Angular frequency is w = √k/w
Time period of oscillation is T = 2π/ω
T = 2π √m/k
T = 2π × √ 1.6/9.0 sec
T = 0.421 sec
Initially block is released from negative extreme (y =-A)
When block is released from positive extreme ( y = +A)
for first time then it completes half of the complete oscillation. So time taken is equal to half of the time period t= T/2 = 0.421/2 sec
t = 0.21 sec
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Time (min)
3. A car accelerates at 2 m/s². Assuming the car starts from rest, how much time
does it need to accelerate to a speed of 16 m/s?[ t = (vi-vi//a ]
The initial velocity of the car is u = 0 m/s because the car starts from rest.
The acceleration of the car is a = [tex]2m/s^{2}[/tex].
The instantaneous velocity is v = 16 m/s.
By applying the formula that connects the details that we have with the duration
a = v − u t
t
we get the duration as follows
Make t the subject of the formula
t = v − u
a
= 16m/s− 0 m/s
[tex]2M^{2}[/tex]
= 8s.
The duration for that speed change is 8s.
Calculating acceleration involves dividing velocity by using time or in phrases of SI units, dividing the meter according to the second m/s by the second one. Dividing distance by time twice is the same as dividing distance via the rectangular of time. hence the SI unit of acceleration is the meter according to 2nd squared. If the acceleration is consistent, it's far viable to discover acceleration without time if we have the preliminary and final pace of the item as well as the amount of displacement. The system v2=u2+2as where v is the final velocity, u is the initial velocity, a is the acceleration and s is the displacement is used.
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+
he document will
3. Calculate the speed for line B.
15
10
Distance (m)
5
A
N
6
a. -2.14 m/s
b. 3 m/s
c. 2.14 m/s
d. 4 m/s
B
€
D
8
Time (s)
E
10 12 14 16
Answer:
d: 4m/s
Explanation:
speed=d/t
S=2-10/8-10
S=4
An underground tank with a capacity of 1700 litre (1.70 m³) is filled with ethanol that has an ini temperature of 19.0°C. After the ethanol has cooled off to the temperature of the tank and ground wh is at 10.0°C, how much air space will there be above the ethanol in the tank? (Assume that the volume the tank doesn't change). [Given: y for ethanol = 75 x 10-5 (Cº)-¹] [Ans: 0.11 cm
Volume air = 1700 L(7.50 ⋅ 10^−4 K ^− 1 − 3 ⋅ 1.20 ⋅ 10^−5 K^−1) ⋅ 9 K ≈ 10.9L
Volume is a measurement of three-dimensional space that is occupied. [1] Numerous imperial units or SI-derived units, such as the cubic metre and litre, are frequently used to quantify it numerically (such as the gallon, quart, cubic inch). Volume and length (cubed) have a symbiotic relationship. The volume of a container is typically thought of as its capacity, not as the amount of space it takes up. In other words, the volume is the amount of fluid (liquid or gas) that the container may hold.
Arithmetic formulas can be used to quickly calculate the volume of several straightforward three-dimensional shapes. If a formula for the shape's boundary is known, it is possible to use integral calculus to determine the volumes of more complex shapes. Nothing in the dimensions of zero, one, or two has volume.
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Relate Bernoulli's principle to the sport of your choice.
Answer:
Daniel Bernoulli – a Swiss physicist and mathematician – discovered that for an inviscid flow of a non-conducting fluid, an increase in the speed of the fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid’s potential energy. * This is known as the Bernoulli Principle.The Bernoulli principle can also be used to describe a downward lift force, such as that required by speed skiers, cyclists and racing cars. The car, bike and skis need to be pushed down into the ground so a greater frictional force is created
Explanation:
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We use electrical devices that produce motion light and sound which aspect of energy explains why these devices are possible
According to Law of conservation of energy,
"Energy can neither be created , nor be destroyed . I t can only be changed from one form to another."
Hence it clearly states that energy cannot be destroyed and hence energy is transformed from one form to another.
It is due to this very reason that devices are able to transform cell's chemical energy in torches to light energy .
Even the loudspeakers, earphones are able to convert electrical energy into sound energy by consuming electrical energy and converting it to various forms
Thus these devices are possible due to the law of conservation of energy.
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Which statement correctly describes the reactivity of noble gases according to the octet rule
Their atoms have eight electrons in their valence shells, so noble gases are very unreactive.
Explanation:
The octet rule state that atoms tend to complete their last energy levels with eight electrons, and that this configuration make them very stable and unreactive.
Noble gases are characterized as unreactive atoms, and this is associated with the fact that they have a complete valence shell, it means that they have eight electrons on it (they follow the octet rule).
Atoms with less electrons on their valence shells tend to react with another atom, forming bonds, to complete their valence shells (with eight electrons).
---Hope this helps you! Have a great day and or night love <3
according to your understanding differentiate between harmful and useful microorganisms
Answer:
Beneficial microorganisms cause fermentation while harmful or pathogenic microorganisms cause putrefaction. Fermentation is a process by which useful substances such as alcohol, amino acids, organic acids and antioxidants are produced. These substances are useful to man, plants, and animals.
Explanation:
Explain the Newton's formula for the velocity of sound in air and raplace correction ?
Explanation:


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State Newton's formula for the velocity of sound in a gas. What is the Laplace's correction?
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Updated on : 2022-09-05
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According to Newton, velocity of sound in any medium is given by v=pE where E is the modulus of elasticity and p is the density of the medium.
For gases E = B, bulk modulus
∴v=pB.............(1)
When sound waves travel through a gas alternate compressions and rarefactions are produced. At the compression region pressure increases and volume decreases and at the rerefaction region pressure decreases and volume increases. Newton assumed that these changes take place under isothermal conditions i.e., at a constant temperature.
Under isothermal condition, B = P, pressure of the gas.
∴ In (1) v=pP.............(2)
This is Newton's formula for velocity of sound in gas.
For air at NTP, P=101.3 kPa and p=1.293 kgm−3
Substituting the values of P and p in, equation (1) we get v = 280 m/s. This is much lower than the experimental value of 332 m/s. Thus Newton's formula is discarded.Laplace's correction:
According to Laplace, in a compressed region temperature increases and in a rarefied region it decreases and these changes take place rapidly. Since air is an insulator, there is no conduction of heat. Thus changes are not isothermal but adiabatic.
Under adiabatic condition, B=y P, where y is the ratio of specific heats of the gas.
Substituting in equation (1) v=pγP
The above equation is called Newton - Laplace's equation
Sunstituting the values of P, p and y in the above equation, give the velocity of sound in air at NTP to be about 331 m/s. This is in close agreement with the experimental value.
1. True or False: All aspects of health are equally important. A problem in one area can affect
other areas.
A true
B false
Identify details in lines 814-828 page 41 that show how beowulf wants to be buried and remembered
He wants to see the gold before he dies. It shows he just cares about fame, glory, and riches.
He wants to be remembered with the aid of a tower named Beowulf's tower constructed where he died so all the sailors can see it. They emphasize how the Geats understood that the riches and treasure Beowulf accumulated were nugatory compared to the bravery he showed. They make clear that Beowulf's followers did now not accept as true each person but their king with the riches and treasure. when they burn my frame, inform my warriors to construct a notable burial mound on the cliffs that stick out into the sea.
The king and warrior Beowulf is remembered and commemorated through his grave is placed at the pinnacle of a sea cliff. Beowulf's Barrow guarantees that any ship that passes through will see Beowulf's grave, encouraging the human beings in it to tell memories about his greatness. Beowulf orders Wiglaf to build a barrow for him on the coast after his frame has been burned on a funeral pyre. This barrow might be seen by ships and remind people of Beowulf's first-rate deeds.
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Which graph below represents how the velocity of the sphere changes over time when falling with constant acceleration?
Justify your choice.
Graph B represents the velocity of the sphere changes over time when falling with constant acceleration.
Acceleration is the measure of how quickly a body's velocity varies with regard to time, and constant acceleration occurs when a body's velocity changes proportionately over a period of time, or at a constant rate. It measures in m/s2.It is claimed that a body has continual positive acceleration when it begins to move with an initial velocity of zero and gradually increases to a positive value over time.Constant positive acceleration is demonstrated by a ball falling freely in a vertical direction.To know more about constant acceleration. visit : https://brainly.com/question/9754169
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The vector product of vectors A and B has magnitude 16.0m^2 and is in the direction +z. If vector A has a magnitude 8.0m and is in the -x direction, what are the magnitude and direction of vector B if it has no X component?
We're given
[tex]\vec A = -(8.0\,\mathrm m)\,\vec\imath[/tex]
and
[tex]\vec A \times \vec B = (16.0\,\mathrm m^2) \, \vec k[/tex]
Recall that
[tex]\vec\imath \times \vec\jmath = \vec k[/tex]
so [tex]\vec B[/tex] must pointing in the -y direction, which means
[tex]\vec B = -\|\vec B\|\,\vec\jmath[/tex]
Then it follows that
[tex]\vec A \times \vec B = (8.0\,\mathrm m)\|\vec B\| (\vec\imath\times\vec\jmath) = (16.0\,\mathrm m^2) \, \vec k \\\\ \implies \|\vec B\| = \boxed{2.0\,\mathrm m}[/tex]
Technician A says kinetic energy is the energy of mechanical work or motion. Technician.Technician B says when an automobile starts,accelerates,decelerates,and stops,kinetic energy is at work.Who is correct?
Both A and B are correct about 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. A body's translational kinetic energy is equal to half of the product of its mass, m, and its squared speed, v or 1/2 mv^2
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II. Understanding Concepts
Skill: Hypothesizing
1. The dots in the balloon represent particles of air. Use what you know about
pressure, temperature, volume, and the kinetic theory of matter to write a
hypothesis explaining what will happen to the volume of the balloon if
pressure is kept constant and the temperature is lowered.
Answer in complete sentences
As the temperature of the balloon is lowered, its volume will decrease as well.
What is kinetic theory of matter?
The kinetic theory of matter says that all matter consists of many, very small particles which are constantly moving or in a continual state of motion.
According to Charles law, the volume of a fixed mass of a gas is directly proportional to its absolute temperature.
Based on Charles law, as the temperature of the balloon is lowered, its volume will decrease as well because the average kinetic energy of the gas molecules has reduced, the rate of gas collision decreased, which will cause a drop in the volume of the balloon.
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What might happen to the composition of air in the future
Since the beginning of the industrial revolution, human activity has been responsible for a substantial alteration in the chemical makeup of the atmosphere as well as a large rise in the concentration of greenhouse gases. These gases enable the atmosphere to retain more heat, similar to how a greenhouse works, which ultimately results in long-term changes to our climate.
This is further explained below.
What is the composition of air?Generally, The molecules of the many gases that make up our atmosphere make up the air that we breathe.
Nitrogen makes up roughly 78 percent of the atmosphere, followed by oxygen (about 21 percent), and argon (nearly 1 percent). There are also, but in much lower concentrations, other chemicals that may be found in the air we breathe.
In conclusion, gases enable the atmosphere to retain more heat, similar to how a greenhouse works, which ultimately results in long-term changes to our climate.
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If an astronaut brings a bathroom scale to the Moon, her weight on the Moon is ___ her weight on Earth.
A- the same as
B- 6 times
C- 1/2
D-1/6
As an object is thrown up , if up is considered negative, what is the direction of the velocity and acceleration of the object as the travels up?
Answer:
It depends on what you mean by positive and negative acceleration. However I think what most people mean by these is that positive means speeding up and negative slowing down. In this case the object’s acceleration is negative on the way up, after leaving your hand at least, and positive on the way down.
Explanation:
For a truck moving at constant speed...
1. the distances traveled during each time period are the same. 2. the direction traveled during each time period must be the same.
3. the truck must accelerate.
4. all of these.
For a truck moving at constant speed, the distances traveled during each time period are the same.
What is constant speed?
If an object covers an equal amount of distance in equal interval of time, then the body is said to be moving at a constant speed.
Constant speed means the speed does not change at all for each second of the motion.
Speed has no direction, hence we cannot say that he direction traveled during each time period must be the same.
Thus, for a truck moving at constant speed, the distances traveled during each time period are the same.
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5) Using the image below, will the elements to the left gain or lose
electrons when bonded to the elements to the right?
What principle is represented by this chart?
Electron Dot Diagrams for Some Representative Elements
Answer:
1.) Lose electrons
2.) Ionic Bonding
Explanation:
Elements on the left side of the periodic table lose electrons during ionic bonding. These elements lose electrons because it is easier for them to give up a few electrons rather than to try and gain many more to achieve a full valence octet. On the other hand, the elements on the right side have close to 8 valence electrons. Therefore, they are more likely to take electrons to make up this small gap rather than give many more away.
19. If an atom has an atomic number of 6 and a
mass number of 14, how many protons,
electrons, and neutrons are in the atom?
Answer:
protons: 6
electrons: 6
neutrons: 8
Explanation:
atomic number -> number of protons -> 6
mass number -> number of protons + number of neutrons
so 14-6 = 8. 8 neutrons
this atom is neutral (net charge is 0), so the number of electrons is the same as the number of protons, which is 6
When taken in small to moderate doses, caffeine has been shown to improve alertness, attention, and performance on simple motor tasks.
True or false
The correct answer is true.
Over 80% of persons in the US regularly drink caffeine. Given that the majority of tasks we engage in in daily life involve complex decision-making, motor processing, and movement, this review investigates the effects of coffee on cognitive and physical function. By inhibiting adenosine receptors, caffeine produces its effects. Caffeine has positive benefits on alertness, vigilance, attention, response time, and attention at low (40 mg or 0.5 mg kg1) to moderate (300 mg or 4 mg kg1) doses, but fewer consistently positive effects are shown on memory and higher-order executive function, such as judgement and decision-making.
Following doses above around 200 mg (3 mg kg1), effects on physical performance are noticeable for a wide range of physical performance metrics, including time-to-exhaustion, time-trial, muscle strength and endurance, and high-intensity sprints typical of team sports. To succeed, maintain workplace safety, and increase productivity, many jobs, including the military, first responders, transport workers, and factory shift employees, require optimal physical and cognitive function. Repeated caffeine administration is a successful method to sustain physical and cognitive capacities in these conditions, which may include little sleep.
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Give the mass of the Sun is indefinitely more massive than our moon, why is the gravitational pull of the moon on the Earth (tides) greater than the sun?
Objects motion plus blank forces equal blank velocity
Answer:\
unbalances and slow direction is the answer
Explanation:
Answer:
no change in motion
Explanation:
3. The distance from New York to Los Angelos is 2789.5 miles. Express this measurement
to ft.
What’s the answer
Answer:
14,728,560 feet
Explanation:
1 foot is 5280 feet multiply by 2789.5 and get this
As you move along the x axis, what changes?
A. The number of sprouted bean seeds increases.
B. The temperature increases.
C. Both A and B.
D. None of the above.
Answer:
Because the temperature Would Most likey increase And same with the Beans! :D <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3
Explanation:
Im pretty sure the answer is A and B
Dennis throws a volleyball up in the air. It reaches its maximum height
1.1s later. We can ignore
air resistance.
What was the volleyball's velocity at the moment it was tossed into the air?
The volleyball's velocity at the moment it was tossed into the air is 10.78 m/s in the upward direction.
Let us assume that the initial velocity of the volleyball at the moment it was tossed into the air is u m/s. And the maximum height attained by it is equal to h meters.
Given in the question
Time of reach Max height = 1.1 seconds
Initial velocity = u m/s
Final Velocity = 0 m/s
( As the volleyball reaches the maximum height, it momentarily stops and its velocity at that instant is zero. )
Acceleration due to gravity = a = -g = -9.8 m/s²
( As the direction of velocity and acceleration due to gravity is opposite in direction, the Upward direction is taken as positive and the downward direction is taken as negative. )
Using First equation of motion: v = u + at
Put in the value
0 = u + (-9.8)(1.1)
0 = u - 10.78
u = 10.78 m/s
Therefore, the volleyball's velocity at the moment it was tossed into the air is 10.78 m/s in the upward direction.
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Robert a stunt man projects himself from a height of 50 m in a horizontal direction he safely lands at a horizontal distance of 100 m calculate the horizontal velocity with which Robert projected himself
The horizontal velocity with which Robert projected himself is v = 31.35m/s.
Equation :Given,
Y = 50m
X = 100m
So, the position function is
Y = -(9.8/2)t²+ 50 = 0
t = 3.19s
Now use speed distance relationship
X = vt
So,
v = X / t
v = 100 / 3.19
v = 31.35m/s
What is the perfect definition of velocity?A vector measurement of the rate and direction of motion is what is meant by the term "velocity." Simply put, velocity is the rate of movement in a single direction. Velocity can be used to gauge both the speed of a rocket launching into space and the speed of a car traveling north on a busy freeway. Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path.
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the pitcher threw a 70 mph curve ball and then a 100 mph fastball, which law of motion is it most closely connected to?
The pitching of a 70 mph curveball and a 100 mph fastball can be most closely connected to Newton's Laws of Motion, specifically the first law, which is also known as the law of inertia.
What is Newton's First Law of Motion?According to Newton's first law, an object at rest will stay at rest, and an object in motion will continue in motion with the same velocity and in the same direction unless acted upon by an unbalanced force. In the case of the pitcher throwing the curve ball and fastball, the ball initially starts at rest in the pitcher's hand, and the pitcher then applies a force to the ball, accelerating it to the desired velocity. Once the ball is in motion, it will continue to move at a constant velocity unless acted upon by external forces, such as gravity or air resistance.
The curveball and fastball also demonstrate the third law of motion, which states that for every action, there is an equal and opposite reaction. When the pitcher throws the ball, the force he applies to the ball generates an equal and opposite force on the pitcher's arm. This reaction force is what propels the ball forward and enables it to travel at high speeds.
Therefore, the pitching of a 70 mph curveball and a 100 mph fastball can be most closely connected to Newton's Laws of Motion, specifically the First and Third laws.
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Use the graph to answer the questions. I have answers but I don't know if they're correct.
The top speed reached during the entire trip would be 45 meters/seconds because the highest ordinate of the y-axis from the graph is 45 and the entire trip would last for 6 seconds.
What is speed?The total distance covered by any object per unit of time is known as speed. It depends only on the magnitude of the moving object.
As given in the problem we have to find the top speed reached during the entire trip and the total duration of the trip,
The top speed = highest ordinate for the speed time curve
The top speed reached during the entire trip would be 45 meters/seconds because the highest ordinate of the y-axis from the graph is 45 and the entire trip would last for 6 seconds.
Thus, the top speed reached during the entire trip would be 45 meters/second.
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