From the question, we can see that the momentum is a vector thus the change in the momentum with respect to the ground observer ought to be zero.
What is momentum?The term momentum has to do with the product of the mass and the velocity of a body. Let us recall that the momentum of a body is a vector quantity thus we have to consider the magnitude as well as the direction of the vector.
With this said, we are going to consider the question more critically. We are told that; a ball travels along a straight path, perpendicular to a wall. The ball bounces off the wall and returns with the same magnitude of momentum, p, with respect to a ground observer at rest.
Looking at the fact that the momentum of the body is a vector and we have seen told that the ball bounces off the wall and returns with the same magnitude of momentum the it follows that the change in the momentum is zero.
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Missing parts;
A ball travels along a straight path, perpendicular to a wall. The ball bounces off the wall and returns with the same magnitude of momentum, p, with respect to a ground observer at rest. What expression shows the change in momentum as observed by the ground observer?
a. 0
b 0.5p
c 2p
d 1.5p
A car starts from rest and accelerates to it’s top speed of 50 m/s. If it accelerates at a uniform rate of 3 m/s2, then how long will it take to reach its’ top speed?
1. A scientist wants to test the sleeping effects of a mild animal tranquilizer on two of his pet rats. He decides that he will put them in two cages of the same size and shape and place them in the same area of his lab for 24 hrs. He decides that he is going to turn the lights on at 5am and turn the lights of at 8pm each day. He feeds both rats lunch each day at noon and chops up 5mg of animal tranquilizer into their food. He notes that at about 5pm both rats fall asleep and wake up at about 5am the following day. He continues this procedure for 15 days and notes the same pattern each day. He concludes that his study shows that the animal tranquilizer will cause all animals to fall asleep at 5pm for a total of 12 hrs.
Did this experiment give accurate results? Why or why not?
Since both rats get the tranquilizer and there is no control condition, the experiment is not accurate.
An experiment is what?An experiment would be carried out by a scientist in search of data and knowledge. We are aware that in an experiment, the impact of the independent variable on the dependent variable must be determined.
In this instance, the dosage of the medication is the independent variable, and the duration of sleep time for the pet rats is the dependent variable.
Let's notice that a controlled setting is required for every experiment.
What would be used to validate the experiment as we now understand it is the control setting of the experiment?We can observe that this experiment lacks a controlled environment, proving that it is not reliable.
A control setting should be introduced, and this experiment would need to be evaluated.
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a light aluminum ball and a heavy lead ball of the same size are allowed to roll down an incline. when they are halfway down the incline, they will have identical
In the context of momentum, leftward momentum should equal rightward momentum. This is chapter 1.2. That ought to be 1.8 kg into two meters per second. Finally, this we equals 1.8 when two is divided by 1.2, which is 3.0 meters per second.
There are four different challenges in the example given. The first one refers to the initial ball's mass. This is assumed assuming that each person is equivalent to 1.5 telegrams and the second pool ball's mass. M2 is that This also equates to an initial speed of 2.3 kg.
The first pool ball is moving at 25 meters per second, whereas the second pool ball was initially at rest. The first ball ultimately comes to rest after colliding with the second pool ball, becoming zero, and we must determine the second ball's final speed. To do this, we will apply the principle of conservation of linear momentum, which states that the linear momentum of both balls remains constant.
The balls before to impact indicate M 1. We have a total of two from one plus M. That corresponds to the ultimate momentum and one we F plus M. This is 1.5 kg in 2 25 m per second plus zero, and we need to plug in all the known variables. For the first ball after coalition because it comes to rest Plus 2.3 kg Into VF two, it will be zero for the second ball is equal to here.
Lasting Speed of Second Pool Ball. Therefore, it works out to be 2.3 kg into VF 2. And canceling this kilogram here, it is equivalent to 37.5 kilogram meters per second.
The answer to the first problem supplied to him now in the second problem, problem number two, mass of the bullet Small, is determined to be equivalent to 16.3 meters per second for the second pool ball. The bullet's speed is five kilograms per second, and the block in which it is implanted has a mass of 0.005 kilograms.
The bullet designated as Small B has an initial speed of 500 m/s and an overall speed of both. The block and bullet that are absent. We need to locate it.
Since the blocks were released earlier and the spring was also handled, their initial momentum was zero. Eventually, they began to move in the other direction. hence where momentum is concerned, leftward momentum should equal rightward momentum. This is chapter 1.2. That ought to be 1.8 kg into two meters per second. Finally, this we equals 1.8 till two divided by 1.2 results in a speed of 3.0 meters per second.
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If u move 50 meters in 10 sec, what is yor speed?
I need Help! Can You Please Help Me?
_______ is essential for building amino acids.
(Choose One)
Nitrogen
Oxygen
Calcium
Carbon
Hydrogen
Phosphorus
Answer:
Oxygen or Hydrogen?
Explanation:
To make amino acids, fermentation tanks are filled with molasses and sugar ingredients such as sugar cane, corn and cassava. Ideal conditions are achieved for stirring, oxygen supply, temperature and pH levels. The desired amino acids are then purified from this fermented broth.
"An amino acid is an organic molecule that is made up of a basic amino group (−NH2), an acidic carboxyl group (−COOH), and an organic R group (or side chain) that is unique to each amino acid."
Hope this helps
Work out the specific heat capacity of a substance if it takes 5,200J of energy to heat 2kg of it from 42°C to 47°C.
Answer:
specific heat capacity = 5 J/kg °C
Explanation:
To calculate the specific heat capacity of a substance, we can use the following formula:
[tex]\boxed{c= \frac{Q}{m \Delta T}}[/tex],
where:
• c = specific heat capacity
• Q = heat energy
• m = mass of substance
• ΔT = change in temperature
We know from the question that Q = 5200J, m = 2kg, and ΔT = 47 - 42 = 5°C.
Using this information as well as the formula above, we can calculate the specific heat capacity of the substance:
c = [tex]\frac{5200\ \mathrm{J}}{2\ \mathrm{kg} \times 5^{\circ}\mathrm{C}}[/tex]
= 5 J/kg °C
Therefore the specific heat capacity of the substance is 5 J/kg °C.
Answer: 520 J
Explanation:
consider a parallel plate capacitor having plates of area 1.7 cm2 that are separated by 0.022 mm of neoprene rubber. you may assume the rubber has a dielectric constant κ
The simplest type of capacitor is the parallel plate capacitor. The capacitance value in Farads is fixed by the surface area of the conductive plates and the space between them, and it can be built using two metal or metallized foil plates placed parallel to one another at a distance.
Chloroprene is polymerized to create the family of synthetic rubbers known as neoprene. Good chemical stability and flexibility are displayed by neoprene over a broad temperature range.
A parallel-plate capacitor's capacitance is calculated by multiplying the dielectric constant by the permittivity of free space, the area of the plates, and the distance between them.
The generalised formula for a parallel plate capacitor's capacitance is given as C = ε(A/d), where stands for the absolute permittivity of the material being utilised as the dielectric. The value of the dielectric constant, commonly referred to as the "permittivity of open space," is 8.854 x 10-12 Farads per metre.
Therefore, Capacitance = ε x (area of plates / thickness of rubber)
= 8.854 x 10^-12 *(1700 / 0.022)
= 68.4173 farads
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Which equation shows that mass is conserved in the chemical
reaction?
a 3N₂ + H₂ → 2NH3
b N₂ + H₂ → NH3
c N₂ + 2H2 → 3NH3
d N₂ + 3H2 → 2NH3
d N₂ + 3H2 → 2NH3 equation shows that mass is conserved in the chemical reaction
What is the law of mass conservation?According to the rule of conservation of mass, mass is neither generated nor destroyed during a chemical process. For instance, when coal is burnt, the carbon atom in it transforms into carbon dioxide.
According to the law of conservation of mass, a chemical reaction will not cause a change in the mass of a closed system. Mass just moves; it is neither generated nor destroyed.
Understanding and producing different chemical reactions depend heavily on this rule. Researchers might anticipate how much the result would be if they knew the names and amounts of the reactants for each reaction.
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A bicyclist steadily speeds up from rest to 18.0m/s during a 4.40s time interval. Determine all unknowns and answer the following questions.
1. What is the magnitude of the bicyclist's acceleration?
2. How far did the bicyclist travel during this time?
1. The magnitude of the bicyclist's acceleration is 4.09 m/s²
2. The distance travelled by the bicyclist during the time is 39.6 m
1. How to determine the acceleration
We can obtain the acceleration of the bicyclist as illustrated below:
Initial velocity (u) = 0 m/sFinal velocity (v) = 18 m/sTime (t) = 4.40 sAcceleration (a) =?a = (v – u) / t
a = (18 – 0) / 4.40
a = 18 / 4.40
a = 4.09 m/s²
Thus, the acceleration of the bicyclist is 4.09 m/s²
2. How to determine the distance travelled
The distance travelled by the bicyclist can be obtained as follow:
Initial velocity (u) = 367 m/sFinal velocity (v) = 0 m/s (at maximum height)Acceleration(a) = 4.09 m/s²Distance (s) =?v² = u² + 2as
18² = 0² + (2 × 4.09 × s)
324 = 0 + 8.18s
324 = 8.18s
Divide both side by 8.18
s = 324 / 8.18
s = 39.6 m
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Which statement best describes the difference between a physical change and a chemical change?.
A. A physical change produces a new element, and a chemical change results in a bond breaking between atoms.
B. A physical change is a change from one state of matter to another; a chemical change results in a new substance formed.
C. A chemical change does not result in a new substance being formed, whereas a physical change does.
D. A chemical change results in a new element being formed, and a physical change results in a new compound being formed
What does it mean when the wave
crests of a transverse wave move
closer together?
A. The amplitude is getting bigger.
B. The amplitude is getting smaller.
C. The wavelength is getting smaller.
D. The wavelength is getting bigger.
When the wave crests of a transverse wave move closer together it means the wavelength is getting smaller.
Briefing :The wavelength of a transverse wave is the distance from one peak to the next or from one dip to the next. The wavelength gets shorter as the crests or troughs get closer together. The wavelength increases as the distance between the crests and troughs increases.
How wavelength affect a transverse wave?One way to gauge the size of waves is by their wavelength. It is the separation of two matching waves' neighboring points. In a transverse wave, the medium's particles vibrate up and down perpendicular to the wave's path of propagation. A longitudinal wave's wavelength can be calculated as its length. A crest and a trough make up a transversal. The largest upward displacement is at the crest, while the maximum downward displacement is at the dip.
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Answer:
C. The wavelength is getting smaller.
Explanation:
a battery with voltage v is connected to a chain of three capacitors in series each with a capacitance of , after a long time has passed each capacitor has a charge of q
A capacitor acts as a low-pass filter to increase damping and temporarily store energy, much like a spring-loaded shock absorber, to reduce vibrations when driving on washboard roads.
A battery with voltage v is connected to a chain of three capacitors in series each with a capacitance of , after a long time has passed each capacitor has a charge of q
Since there is only one channel for the charging current (iC) to take when capacitors are connected in series, the charging current (iC) going through all capacitors is the SAME.
Then, as iT = i1 = i2 = i3 etc., all capacitors connected in series have the same current flowing through them. As a result, regardless of capacitance, each capacitor will store the same quantity of electrical charge, Q, on its plates.
As we know,
Q = C*V
Applying Kirchhoff’s Voltage Law,
V = Qt/C1 + Qt/C2 + Qt/C3
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Which would conduct the least amount of electricity?
a
A copper wire
b
A piece of wood
c
An iron rod
d
A tin can
Answer:
The one that conducts the least amount of electricity is a piece of wood.
Explanation:
We are given four options of which three are metals and one is not, and we have to decide which one would conduct the least amount of electricity or, in other words, which one is the better insulator.
Metals, because of their molecular properties, are the best electricity and heat solid conductors. This means they do not resist too to the flow of current. Therefore, they conduct high amounts of electricity.
Materials such as wood, plastic, or rubber are known as insulators because they have a higher resistance to the flow of electric current. In other words, they conduct very small amounts of electricity.
Hence, of these options, the one that conducts the least amount of electricity is a piece of wood.
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Cheers !
A cliff that is known to be 20 m high has a river that is 30 m wide, that runs below the cliff. With what minimum speed should you drive over the cliff so that the car crosses the river?
The minimum speed you should drive over the cliff so that the car can cross the river is 15 m/s
How to determin the minimum speedwe'll begin by obtainig the time taken for the car to cross the river. This can be obtained as follow:
Height (h) = 20 mAcceleration due to gravity (g) = 9.8 m/s²Time (t) = ?h = ½gt²
20 = ½ × 9.8 × t²
20 = 4.9 × t²
Divide both side by 4.9
t² = 20 / 4.9
Take the square root of both side
t = √(20/ 4.9)
t = 2 s
Finally, we shall determine the minimum speed as follow:
Horizontal distance (s) = 30 mTime (t) = 2 sMinimum speed (u) = ?s = ut
30 = u × 2
Divide both sides by 2
u = 30 / 2
u = 15 m/s
Thus, we can conclude that the minimum speed needed is 15 m/s
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The minimum speed should be 15 m/s to drive over the cliff so that the car will cross the river.
What is Speed?The speed of an item, which is a scalar quantity in everyday usage and kinematics, can be defined as the size of the change in position per unit of time or the size of the change in position over time for an object.
The given values in the question are :
Height of the cliff, h = 20 m
The acceleration due to gravity, g = 9.8 m/s².
Use the formula,
h = 1/2gt²
20 = 1/2(9.8)t²
20 = 4.9 t²
t = 2 seconds.
Now, calculate the minimum speed,
s = ut
30 = u × 2
u = 30/2
u = 15 m/s.
Hence, the minimum speed required by the car to cross the river is 15 m/s.
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superman throws a 1400 nn boulder at an adversary. what horizontal force must superman apply to the boulder to give it a horizontal acceleration of 15.0 m/s2m/s2 ?
The horizontal force superman apply to the boulder is F = 2142.9 N.
Equation :The boulder has a weight of
W = 1400 N
The weight of an object is the product between its mass m and the gravitational acceleration g:
W = mg
Rearrange the equation, we can calculate the mass of the boulder:
m = W / g
m = 1400 N / 9.8 m/s
m = 142.86 kg
As we know that Superman applies a horizontal force to this object, and as a result, the acceleration of the boulder is
a = 15 m/s²
We can find the force applied by using Newton's second law of motion:
F = ma
As, now we have m that is 142.86 kg and a is 15 m/s²
So, putting these values in formula we have,
F = 142.86 kg x 15 m/s²
F = 2,142.9 N
Hence, the horizontal force superman apply to the boulder is F = 2142.9 N.
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A 1.0 metre wooden ruler is damaged and no longer uniform. The mass of the ruler is 11.5 G the ruler is balanced on a pivot with a 50 gram mass as shown.
Where is the centre of gravity of the ruler?
A: At the 13cm mark
B: At the 42cm mark
C: At the 60cm mark
D: At the 68cm mark
The mass of the ruler is 5.75 grams
It is given that
length of wooden ruler = 1 m
mass of ruler = 11.5 gram
mass of pivot = 50 gram
1 m = 100 cm
T = T X F
Let M grams be the ruler's mass. The ruler's centre of mass is located there.
As a result, the ruler's centre of mass is 100 cm distant from the hin-ge.
The ruler's equilibrium position is agiven.
adjusting the tor-ques at the hin-ge caused by the 50-gram mass dangling from the ruler and the rod's mass:
50*11.5 = M*100
M = 5.75 grams.
Hence, the mass of the ruler is 5.75 grams
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find the difference between the moon’s gravitational force on a 1 kg mass on the side of the earth facing the moon and an identical mass on the side of the earth opposite the moon (this difference is called the tidal force).
The tidal force is a gravitational phenomenon that, as a result of a gradient in the gravitational field from the other body, stretches a body along a line towards the center of mass of another body.
The surface gravity of the Moon is around 1/6th as strong, or 1.6 meters per second every second. Because the Moon is significantly less massive than Earth, its surface gravity is weaker. The surface gravity of a body is inversely related to the square of its radius but directly proportional to its mass.
The Earth is forced to orbit around the Earth-Moon center of mass, which is situated roughly 1600 km beneath the surface of the planet along a line connecting it to the Moon. It is possible to think of the tidal force as the difference between the force at the Earth's center and all other locations.
At sea level, where we can see the ocean tides, this distinction is evident. (Remember that the tidal forces' impact on sea level is measured relative to the baseline sea level.
As we previously observed, the rotation of the Earth causes a significant bulge along its equator. Here, we merely take into account the much smaller tidal bulge measured from that baseline sea level, which establishes the baseline sea level.)
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water (2990 g ) is heated until it just begins to boil. if the water absorbs 5.11×105 j of heat in the process, what was the initial temperature of the water?
According to the given statement the initial temperature of the water is 54.171°C
What is unit of temperature?The SI unit of temperature is Kelvin, which is represented by the letter K. Kelvin is part of the International System of Units.
Briefing:Mass of water
= 2290 g
= 2.29 Kg
Heat absorbed (Q) = 5.11 x 10⁵ J = 511 KJ
Water is boiling, final temperature of water
= 100°C = 373 K
When water is getting warmed, the amount of heat absorbed to increase the temperature of water by 1°C is given by heat capacity.
Specific heat capacity of water
= 4.87 KJ/Kg
Mathematically,
Q = mCΔT
where
Q = Heat absorbed
m= mass of the water
C = specific heat capacity of water
ΔT = Temperature change
= Final temperature - initial temperature
Putting numerical values
511 = 2.29 x 4.87 x ΔT
⇒ΔT = 45.829
⇒Final temperature - Initial temperature = 45.829°C
⇒100°C - Initial temperature = 45.829°C
⇒ Initial temperature = 100 - 45.829 = 54.171°C
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a baseball mass 220.00 g approaches a bat horizontally at a speed of 32.20 m/s and is hit straight back at a speed of 54.50 m/s . if the ball is in contact with the bat for a time of 1.50 ms, what is the average force exerted on the ball by the bat? neglect the weight of the ball, since it is so much less than the force of the bat. choose the direction of the incoming ball as the positive direction.
According to the given statement F = -12716 N is the average force exerted on the ball by the bat.
What does "average force" mean?The average force is the force applied by an object traveling over a specific period of time at a given rate of speed, or velocity. This velocity is not immediate or precisely calculated, even as word "average" implies.
Briefing:m = 220 g = 0.22 kg
v[tex]_1[/tex] = 32.20m/s
v[tex]_2[/tex] = -54.50 m.s
t = 1.5 ms = 1.5 * 10⁻³
To find the average force exerted on the ball.
If we use the impulse-momentum theorem,
F = mv[tex]_2[/tex] - mv[tex]_1[/tex]/t
Now, we have to substitute values in equation 11:
[tex]$F=\frac{0.22 \mathrm{~kg} \cdot\left(-54.5 \frac{\mathrm{m}}{\mathrm{s}}\right)-0.22 \mathrm{~kg} \cdot\left(32.2 \frac{\mathrm{m}}{\mathrm{s}}\right)}{1.5 \cdot 10^{-3} \mathrm{~s}}$[/tex]
F = -12716 N
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Answer explanation !!!!!!!!!!
Answer:
65 meters for 5 seconds at a time
Explanation:
When participating in a fitness evaluation, it's important to familiarize yourself with the events included in the evaluation
Please select the best answer from the choices provided.
T
F
When participating in a fitness evaluation, it's important to familiarize yourself with the events included in the evaluation. This is a true statement.
What is fitness evaluation?Fitness evaluation is a type of test that is being carried out to assess the physical fitness of an individual in various areas such as:
Flexibility, Muscular strength and endurance, and Aerobic capacity.The events that can be used to evaluate fitness of an individual include the following:
Speed test,Flexibility testCardiovascular endurance test,Strength tests.To attain a maximum result, the individual that would be involved in the evaluation exercise should get acquainted with the test for a maximum positive outcome.
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John rode 3,150 m at an average speed of 350 m/min. if he had ridden at average of 375 m/min instead, how many seconds fewer would the ride have taken him to complete?
John will take 0.6 min or 36 seconds more faster during uniform motion than before.
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
s = v . t
where v is velocity, t is time and s is displacement.
From the question above, we know that
v1 = 350 m/min
v2 = 375 m/min
s = 3150 m
Find the initial time
s = v1 . t
3150 = 350 . t
t = 9 min
Find second time
s = v2 . t
3150 = 375 .t
t = 8.4 min
John will take 0.6 min or 36 seconds more faster than before
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1. Two particles are placed in a line 90.0 cm apart. One particle, q1, has a charge of 1.0 μC and the
other, q2, 3.0 μC. How far from q1 should a third charge of 2.0 μC be placed, so that the forces
acting on it are equal? HELPP
describe the techniques that industries can use to conserve water.
I have to get it done right now
Answer:
reducing water use, recycling water, install basic water-efficient technologies, and reusing water.
a movable bracket is held at rest by a cable attached at e and by frictionless rollers. knowing that the width of post fg is slightly less than the distance between the rollers, determine the force exerted on the post by each roller when α
The force exerted on the post by the roller,
A = D = 0B = 868 N ; C = 126.1 NThe equilibrium for bracket,
∑ [tex]F_{y}[/tex] = 0
T sin 20° - 270 = 0
T = 789.43 N
[tex]T_{x}[/tex] = ( 789.43 ) cos 20°
[tex]T_{x}[/tex] = 741.82 N
[tex]T_{y}[/tex] = ( 789.43 ) sin 20°
[tex]T_{y}[/tex] = 270 N
The 270 N force and [tex]T_{y}[/tex] forms a couple
τ = ( 270 ) 0.25
τ = 67.5 N m Clockwise
∑ [tex]M_{B}[/tex] = 0
( 741.82 * 0.125 ) - 67.5 + [tex]F_{CD}[/tex] ( 0.2 ) = 0
[tex]F_{CD}[/tex] = - 126.138 N
∑ [tex]F_{y}[/tex] = 0
[tex]F_{AB}[/tex] - 126.138 - 741.82 = 0
[tex]F_{AB}[/tex] = 867.96 N
The direction of force [tex]F_{CD}[/tex] is towards left and the direction of force [tex]F_{AB}[/tex] is towards right. The force [tex]F_{CD}[/tex] is exerted by roller B and the force [tex]F_{AB}[/tex] is exerted by roller C. Rollers A and D exert no force. The force exerted by the rollers exert oppositely on the post. So the force exerted by roller C is 126.1 N and the force exerted by roller B is 867.96 N.
Therefore, the force exerted on the post by the roller,
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Please answer this for me!
The formula for the covalent compound dichlorine Heptoxite is CL2O6.
Name the first element first then name the second element using the element name stem and the ide suffix. If there are multiple atoms of the first element use the numeric prefix. Always use a numeric prefix for the atomic number of the second element. Dichloroheptoxide is a compound of a clear oily liquid. It is a strong oxidizing agent.
The hardness of a diamond can be read from its crystal structure. Each carbon atom is bound to four other carbon atoms by covalent bonds in a regular tetrahedral structure. Each of these bonded carbon atoms is then further bonded to three other carbon atoms. In the semiconductor industry, chlorine trifluoride is used to clean chemical vapor deposition chambers. Advantageously the semiconductor material can be removed from the chamber walls without the need to dismantle the chamber.
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After four half-lives (18 billion years), what percent of the original uranium would remain?
Answer:
50%
Explanation:
uranium loses about 12.5% mass in 1 half life
12.5 x 4 = 50
explain and justify what would happen to the work done by the cable and magnitude of tension force as the crate was lifted the same height h but with a longer ramp.
Friction comes in two flavors: kinetic and static. Static friction affects a system or an object at rest, whereas kinetic friction affects an object in motion.
Typically, the maximal static friction between the objects is greater than the kinetic friction. Consider attempting to move a large crate across a concrete floor. The crate might not budge no matter how much you push on it. In other words, the static friction reacts to your actions by increasing to match and move in the opposite direction of your push.
However, if you exert enough force, the crate eventually looks to slip and begin to move. The kinetic friction force is lower than the static friction force, making it simpler to maintain motion once it is underway.
You would have to push more harder to initiate and maintain motion if you added mass to the crate (by, say, stacking a box on top of it). On the other hand, if you greased the concrete, it would be simpler to start and maintain the box.
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A vibrating guitar string makes very little sound if it is not mounted on the guitar body. Why does the sound have greater intensity if the string is attached to the guitar body? (a) The string vibrates with more energy. (b) The energy leaves the guitar at a greater rate. (c) The sound power is spread over a larger area at the listener's position. (d) The sound power is concentrated over a smaller area at the listener's position. (e) The speed of sound is higher in the material of the guitar body. (f) None of these answers is correct
The sound has greater intensity if the string is attached to the guitar body as the sound power is spread over a larger area at the listener's position.
A sound wave is basically delivered by a vibrating object. As a guitar string vibrates, it sets encompassing air particles into vibrational movement. The frequency at which these air particles vibrate is rise to the frequency of vibration of the guitar string. The back and forward vibrations of the surrounding air particles make a pressure wave that voyages outward from its source. This pressure wave comprises compressions and rarefactions. The compressions are regions of high pressure, where the air particles are compressed into a little region of space. The rarefactions are districts of low pressure, where the air particles are spread and separated. This substituting design of compressions and rarefactions is known as a sound wave. A guitar string vibrating by itself does not deliver a really loud sound. The string itself disturbs exceptionally small air since its little surface zone makes exceptionally small contact with encompassing air particles. In any case, in case the guitar string is joined to a bigger object, such as a wooden sound box, at that point more air is aggravated. The guitar string forces the sound box to start vibrating at the same frequency as the string. The sound box in turn powers surrounding air particles into vibrational movement. Since of the huge surface range of the sound box, more discuss particles are set into vibrational movement. This produces a more capability of hearing a sound.
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a roller coaster starts at rest at the top of a 51-meter-high frictionless track. at the bottom of the track, what is the approximate speed of the roller coaster?
The approximate speed of the roller coaster is 32m/s.
Considering that the earth and the roller coaster are both parts of one system.
We can use the law of conservation of energy,
This law states that in a system, the sum of total energy is always conserved.
So we can say that the energy at the top of roller coaster will be equal to the energy at the bottom of the roller coaster.
At top, whole energy is potential energy and the bottom whole energy is kinetic energy,
So we can write,
PE = KE
Mgh = 1/2Mv²
Where M is mass of roller coaster,
v is the speed of roller coaster,
g is acceleration due to gravity and,
h is the height of the roller coaster,
Putting all the values,
gh = 1/2v²
v² = 2gh
v² = 2×9.8×51
v² = 999.6
v = 31.61 m/s.
The speed of roller coaster at the end is 32 m/s approx.
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