The potential energy of the ball at the highest point is 100.98J
The kinetic energy of the ball at the time of throwing can be calculated using the formula KE = 1/2mv^2, where m is the mass of the ball and v is its velocity. In this case, the mass of the ball is 2kg and the velocity at the time of throwing is 10m/s. Substituting these values into the formula gives:
KE = 1/2 x 2kg x (10m/s)^2
KE = 100J
Therefore, the kinetic energy of the ball at the time of throwing is 100J.
At the highest point of the ball's trajectory, it reaches a point of zero velocity. At this point, all of the kinetic energy of the ball has been converted into potential energy due to its position in the Earth's gravitational field. The potential energy of an object at a height h above the ground can be calculated using the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity (approximately 9.8 m/s^2 near the surface of the Earth), and h is the height of the object above the ground.
At the highest point, the velocity of the ball is zero and its height is at its maximum. Assuming the initial height of the ball was 0, the height of the ball at the highest point can be calculated using the formula h = v^2/2g, where v is the initial velocity of the ball. In this case, the initial velocity is 10m/s, so the height of the ball at the highest point is:
h = (10m/s)^2/2 x 9.8m/s^2
h = 5.1m
Substituting the mass of the ball and the height into the potential energy formula gives:
PE = 2kg x 9.8m/s^2 x 5.1m
PE = 100.98J
Therefore, the potential energy of the ball at the highest point is approximately 101J.
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A worker drives to work each morning, always leaving at the same time. When he drives at
an average speed of 30km/hr he arrives six minutes early, but when he drives at an average
speed of 20km/hr he arrives six minutes late. What is the distance between his house and his
office? Calculate his average speed when he arrives precisely on time. Explain your answer.
Explanation:
speed = distance/time
distance/speed = distance / distance/time = time
when we define the equations, we must be careful to use the same scales as in the given numbers.
as we are dealing with km/h for speed, we need to have distance measured in km, and time in hours.
6 minutes is therefore 1/10 of an hour (1 hour = 60 minutes).
distance/30 = x - 1/10
distance/20 = x + 1/10
we subtract equation 2 from equation 1 :
distance/30 = x - 1/10
- distance/20 = x + 1/10
-----------------------------------
distance/30 - distance/20 = -2/10
we multiply by 60 to eliminate all fractions :
2×distance - 3×distance = -2×6 = -12
-distance = -12
distance = 12 km
x = the travel time to arrive on time.
distance/30 = x - 1/10
12/30 = x - 1/10
12 = 30x - 3
15 = 30x
x = 15/30 = 0.5 hours = 30 minutes
so, he has half an hour for his 12 km trip to work to arrive precisely on time.
that means his average speed for that must be
12/0.5 = 24/1 = 24 km/h
an object 1.70 cm high is held 3.00 cm from a person's cornea, and its reflected image is measured to be 0.167 cm high. what is the magnification?
Diane is training for a marathon and goes to the track (400 m) to run every morning.If Diane runs around the track 10 times, what is the distance in meters that she travels? Do not include the unit in your answer.
To answer this question, we need to remember what distance really is. Distance is far something moves in a scalar motion, which is not relative to where she starts out originally.
Since Diane travels around the track 10 times and the track is 400 meters long, she ultimately ends up traveling 4000 meters.
A gas is enclosed in a container fitted with a piston of cross-sectional area 0.10 m2 . the pressure of the gas is maintained at 8000 nm-2 . when heat is slowly transferred, the piston is pushed up through a distance of 4 cm. if 42 j heat is transferred to the system during the expansion, what is the change in internal energy of the system?
The change in internal energy is 10 J.
Calculation:Given,
Cross-sectional area, A = 0.10 m²
Pressure of gas, P = 8000 N/m²
Displacement, s = 4 cm = 0.04 m
Heat transferred, H = 42 J
To find,
Change in internal energy =?
We know that, as per Law of thermodynamics,
Change in internal energy = Heat - Work
Force = pressure × area
= 8000 × 0.10
= 800 N
Work = Force × Displacement
= 800 × 0.04
= 32 J
Change in internal energy = Heat - Work
= 42 - 32
= 10 J
Hence, the change in internal energy is 10 J.
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A satellite in a circular orbit 1250 kilometers above Earth makes one complete revolution every 110 minutes.
What is its linear speed? Assume that Earth is a sphere of radius 6400 kilometers.
The Linear speed is 53.96km/min
The linear speed of a satellite in a circular orbit 1250 kilometers above Earth and making one complete revolution every 110 minutes
we use ;
v = 2πr/T , Where ;v = linear velocity , r = radius of orbit , T = time period
Substitute the given values
v = 2π(6400 + 1250) km/110 min= 2π(7650)/110 km/min= 53.96 km/min
Linear speed is the measure of the concrete distance travelled by a moving object. The speed with which an object moves in the linear path is termed linear speed.
Therefore, the linear speed of the satellite is 53.96 km/min.
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What do you predict would happen if you brought a negatively charged balloon next to an uncharged piece of paper?.
The balloon's negative charge draws the paper to it.
How does this attraction between balloon and paper happen?A portion of the paper near the balloon becomes positive when you place the balloon close to a small piece of paper because the negative balloon repels the electrons in the paper. The paper moves in the direction of the balloon because positive and negative forces are attracted to one another. The paper is drawn to the balloon's negative charge.
This phenomena is called charging of body by induction because the charges are being induced in this process.
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(1) a father racing his son has 1/4 the kinetic energy of the son, who has 1/2 the mass of the father. the father speeds up by 1.7 m/s and then has the same kinetic energy as the son. what are the original speeds of (a) the father and (b) the son?
The original speeds of the father and the son are 1.9 m/s and 5.374 m/s.
Mass of the son = m1
Mass of the father = m2
The son has 1/2 the mass of the father.
m_2 = 2m_1
Original speed of the son = V1
Original speed of the father = V2
Initial kinetic energy of the son = E_1 = m_1\(V_1^2\)/2
Initial kinetic energy of the father = E_2 = m_2\(V_2^2\) /2
The father has 1/4 the kinetic energy of the son.
E_1 = 4E_2
m_1\(V_1^2\)/2 = 4(m_2\(V_2^2\) /2)
m_1\(V_1^2\)/2 = 2m_2\(V_2^2\)
New speed of the father = V_3 = V_2 + 1.9
New kinetic energy of the father = E_3 = m_2 \(V_3^2\)/2
The new kinetic energy of the father is equal to the kinetic energy of the son.
E_1 = E_3
m1\(V_1^2\)/2 = m2 \(V_3^2\)/2
2m2\(V_2^2\) = m2 \(V_3^2\)/2
4\(V_2^2\) = \(V_3^2\)
2\(V_2\) = \(V_3\)
2\(V_2\) = \(V_2\) + 1.9
\(V_2\) = 1.9 m/s
m_1\(V_1^2\)/2 = 2m2\(V_2^2\)
m_1\(V_1^2\)/2 = 2(2m1)(1.9)2
V_1 = 5.374 m/s
a) Original speed of the father = 1.9 m/s
b) Original speed of the son = 5.374 m/s
Speed refers to the rate at which something moves or operates. It can be described as the distance traveled by an object over a certain period of time, or the number of events or operations that occur within a given time frame. Speed is a fundamental concept in physics and is often measured in units such as meters per second, miles per hour, or revolutions per minute.
In everyday life, speed is important in a variety of contexts. For example, the speed of a vehicle can affect its safety and efficiency. The speed at which a computer operates can impact its performance. The speed of communication, such as the transfer of data or the sending of messages, can impact the effectiveness of communication.
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Complete Question: -
A father racing his son has 1/4 the kinetic energy of the son, who has 1/2 the mass of the father. The father speeds up by 1.9 m/s and then has the same kinetic energy as the son. What are the original speeds of (a) the father and (b) the son?
A measure of the average kinetic energy per particle in a quantity of matter
Which option identifies the major method scientists use to share their research findings with other scientists?
a) conference presentations
b) peer-reviewed journals
c) newspaper articles
d) Internet videos
The major method scientists use to share their research findings with other scientists is (b) peer-reviewed journals.
What is peer-reviewed journals?The primary means through which scientists disseminate the results of their study to other scientists is through peer-reviewed publications. Research articles are submitted by scientists in this method to respectable scientific publications.
The papers are next subjected to a thorough examination by a group of subject-matter specialists known as peers or referees. Prior to being approved for publication, these experts evaluate the research's quality, validity, and importance.
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Path:p
How much zinc oxide 10% cream and zinc oxide 1% cream are needed to make 454 g of zinc oxide 3% cream?
Round your answer to the nearest tenth of a gram.
Paragraph
B
1
=
N
Answer:
.1 A1 = a1 A1 is amount at .1 %
.01 A2 = a2 A2 is the amount at .01%
a1 + a2 = 454 total of a1 and a2
A = 454 / .03 = 15133.33 tot amount needed
454 = .1 A1 + .01 A2
A2 = 15133.33 - A1
454 = .1 A1 + .01 (15133.33 - A1)
454 = .09 A1 + 151.33
A1 = 302.67 / .09 = 3363
A2 = 15133.3 - 3363 = 11770.3
Check:
.1 * A1 = 336.3
.01 * A2 = 117.7
total = 336.3 + 117.7 = 454
If an ice cube with the mass of 5.0 grams melts in a closed system such as closed glass jar, what is the mass of the liquid water after the ice cubes completely melts?
A) 4.0 grams
B) 5.0 grams
C) 6.0 grams
D) The mass cannot be determined without knowing the volume.
Answer:
4.0 grams
Explanation:
Answer:
B) 5.0 grams
Explanation:
Its right
what is the frequency of a wave that has a wavelength of 3m that is traveling at a speed of 9m/s
Answer:
3 m/s
Explanation:
according to the big bang theory the entire universe began as a
According to the Big Bang theory, the entire universe began as a singularity - an extremely hot and dense point in space-time. About 13.8 billion years ago, this singularity began to rapidly expand, creating all matter and energy in the universe and eventually leading to the formation of galaxies, stars, and planets.
The Big Bang theory posits that the universe began as a singularity, a point of infinite density and temperature. This singularity rapidly expanded, causing a rapid cooling and the formation of particles like protons, neutrons, and electrons. As the universe continued to expand and cool, these particles began to form atoms, eventually leading to the formation of stars and galaxies. The Big Bang theory has been supported by a range of scientific observations and experiments, from the cosmic microwave background radiation to the relative abundance of light elements. Despite ongoing debate and refinement, it remains the prevailing scientific explanation for the origin and evolution of the universe.
In conclusion, the Big Bang theory suggests that the universe began as a singularity that rapidly expanded and eventually led to the formation of all matter and energy. This theory has been supported by a wealth of scientific evidence and remains the prevailing explanation for the origins and evolution of the universe.
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the building block of all elements and the smallest component into which an element can be divided?
a. building blocks
b. element
c. A molecule
d. atom
The building block of all elements and the smallest component into which an element can be divided d. atom
What is the smallest energy building block?
Quarks, the universe's tiniest particles, are significantly smaller and have far greater energy levels than the protons and neutrons in which they are found.
An atom is the smallest unit of an element that retains all of its characteristics.
However, atoms include several subatomic particles, the most significant of which are protons, neutrons, and electrons.
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2. If an object has two forces acting on it, how can the net force equal
0?
Answer:
if they both face each other they cancel out
Explanation:if there is one on 1 side and on the other as well they cancel out and it is 0
Answer:
If the forces are equal and the forces act in oppposite direction then the net force is equal to zero
1. the wavelength of a particular color of violet light is 414 nm. calculate the frequency of this color.
The violet color has a frequency of 7.24 x (10)^14 / sec based on the wave length provided.
What wavelength is it?A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent emblems) in the consecutive cycles. This length is typically defined in wireless systems in metres (m), centimeters (cm), or millimeters (mm) (mm).
Briefing :we know that, f = frequency = 1/wavelength = c/λ
where c = speed of light = 299 792 458 m / s or 3 x 10^{8} m/s
and given wavelength ( λ)=414 nm
1 nm = 10^{-9} m
so, λ= 414 x 10^{-9} m
therefore f= frequency= 7.24 x (10)^14 / sec.
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if a solution looks blue, it is absorbing light with around a 600nm wavelength. T/F?
if a solution looks blue, it is absorbing light with around a 600nm wavelength. This statement is true.
This is because the blue appearance is a result of the solution absorbing the complementary color of blue, which is in the range of 600nm, and reflecting or transmitting the blue light that our eyes perceive.
Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a wave form signal propagated in space or along a wire. In wireless systems, this length is usually specified in meters (m), centimeters (cm) or millimeters (mm).In the case of infrared (IR), visible light, ultraviolet (UV), and gamma radiation (γ), the wavelength is more often specified in nanometers (nm), which are units of 10⁻⁹ m, or angstroms (Å), which are units of 10⁻¹⁰ m.
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Calculate the total momentum of the three-sphere system if the three spheres are swung at −1.0 msto the left.
Answer:
, pfx = pix + Jx.
Explanation:
The momentum principle tells us that impulse transfers momentum to an object.
If an object has 2 kgm/s of momentum, a 1 kgm/s impulse delivered to the object
increases its momentum to 3 kgm/s. That is, pfx = pix + Jx.
Just as we did with energy, we can represent this “momentum accounting” with a
momentum bar chart. For example, the bar chart of FIGURE 11.6 represents the ball
colliding with a wall in Figure 11.4. Momentum bar charts are a tool for visualizing
an interaction
Select the generic equation suggested by a graph showing a diagonal line from the lower left to the upper right of the graph.
y = kx
y = kx2
y = k(1/x)
Answer:
y=k(1/x
Explanation:
Answer:
(A) y=kx
Explanation:
Calculate the kinetic energy of a 1.15 kg bowling ball rolling down the lane at 2 m/s. Include the units.
We will have the following:
\(\begin{gathered} k=\frac{1}{2}(1.15kg)(2m/s)^2\Rightarrow k=\frac{23}{10}J \\ \\ \Rightarrow k=2.3J \end{gathered}\)So, the nergy is 2.3 J.
what is the frequency of the second overtone if the fundamental frequency is 308 hz
A. 154hz
B. 924hz
C. 308hz
D 616hz
The frequency of the second overtone if the fundamental frequency is 308 Hz is equal to 1540 Hz.
What is overtone?An overtone can be described as any resonant frequency above the fundamental frequency of a sound. Overtones can be defined as all pitches higher than the lowest pitch within an individual sound. While the fundamental can be described as usually heard most prominently, overtones are present in any pitch except a true sine wave.
The lowest normal frequency is called the fundamental frequency, while the higher frequencies are known as overtones.
Given, the fundamental frequency, f₀ = 30 8 Hz
The relationship between the fundamental frequency and the second overtone is given by
f₂ = 5 f₀
f₂ = 5 × 308 = 1540 Hz
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How would year reult have been different if the energy tranferred between the hot object and cold water were 100% efficient explain your reaoning
The result would have been different with the temperature being constant if the energy transferred between the hot objects and cold water were 100%.
What is Temperature?
This is referred to as the degree of hotness or coldness of a substance or body and is influenced by thermal energy and the unit is Kelvin.
The process of heat transfer which is known as conduction is used in this process and some are lost to the environment or surroundings but in a situation where the energy transferred between the hot objects and cold water were 100% then there will be a constant temperature.
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Two solid metal balls all have the same radius. one is made of aluminum, the other of gold. if the balls are resting at the bottom of a pool of water, which ball has the largest buoyant force?
The buoyancy force on the gold ball will be more than that of aluminum.
What is buoyancy force?An upward force applied by a fluid against the weight of an item that is partially or totally submerged is known as upthrust, also known as buoyancy. Pressure in a fluid column increases with depth due to the weight of the fluid on top.
Given that two solid metal balls all have the same radius. one is made of aluminum, the other of gold. And the balls are resting at the bottom of a pool of water.
The buoyancy force at the bottom force will be calculated by finding the density of the balls.
Buoyancy force = Volume inside water x Density X g
Density of gold = 19.3 g / cc
Density of aluminium = 2.7 g / cc
Since the density of the gold ball is more than the density of the aluminum ball.
Therefore, the buoyancy force on the gold ball will be more than that of aluminum.
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5. This break-dancer's speed is not changing as he spins on his head, but he is
accelerating. Explain how this could be.
The direction of the break dancer is always changing hence we can say that the break dancer is accelerating.
The term acceleration means change of velocity with time. It refers to the time taken for the velocity of a body to change in a specified direction. Recall that velocity takes direction into account.
The direction of the break dancer is always changing hence we can say that the break dancer is accelerating since his direction is changing even though the speed is constant.
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What is the relationship between transit duration and orbital period?
Answer:
The length of time between each transit is the planet's "orbital period", or the length of a year on that particular planet. Not all planets have years as long as a year on the Earth! Some planets discovered by Kepler orbit around their stars so quickly that their years only last about four hours!
I hope it helps.
Answer:
lenght of year poExplanation:
hope it helpswhen climbing a steep hill, would you want a larger or smaller bicycle gear?
Answer:
Usually when climbing, it's best to be in the small front ring and the largest back ring. If your cadence is about 100 rpm, then whatever gear you're in is fine. It depends on the road, but as long as your pedaling is at a level you're comfortable with, you're fine.
Explanation:
Google answer by the way.
what is an atom with great electronegativity able to do?
An atom with great electronegativity is able to attract electrons towards itself in a chemical bond. This means that it is able to form strong covalent bonds with other atoms, and can also participate in ionic bonding by attracting electrons away from other atoms.
Additionally, an atom with high electronegativity is able to exert a greater degree of control over the distribution of charge within a molecule, making it an important factor in determining the overall reactivity and behavior of the molecule.
Electronegativity is a measure of an atom's ability to attract electrons towards itself when it is part of a chemical bond. In other words, it is a measure of an atom's ability to pull electrons away from other atoms in a molecule. Electronegativity is an important concept in chemistry, as it helps predict how atoms will behave in chemical reactions.
Electronegativity is typically measured on a scale called the Pauling scale, named after the American chemist Linus Pauling. The scale ranges from 0.7 (for the least electronegative element, francium) to 4.0 (for the most electronegative element, fluorine). Elements towards the right side of the periodic table, such as the halogens and oxygen, are generally more electronegative than elements towards the left side, such as the alkali metals.
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a pickup truck has a width of 79.8 in. if it is traveling north at 37 m/s through a magnetic field with vertical component of 35 mt, what magnitude emf is induced between the driver and passenger sides of the truck?
EMF induced between the driver and passenger sides of truck is 2.6 mV
What is EMF?In physics, electromotive force is the energy transfer in an electric circuit per unit of electric charge. The electromotive force may be calculated by the ratio between the work required to transport the electric charge from the lowest to the highest electric potential with the modulus of the electric charge. Thus, the formula of EMF is
E = \(\frac{W}{Q}\)
As it is a measure of the electric potential, the EMF unit in the International System (SI) is considered to be Volt (V). For magnetism it can also be calculated as: ε = Blv in tesla (T)
Given values:
L = 79.8in or 2.026m
v = 37m/s
B = 35μT or 35×10⁻⁶ T
ε = Blv
ε = 35×10⁻⁶ ×2.026×37
ε = 2.6 mV
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The semi major axis of an ellipse is the distance between the two foci of the ellipse. half the length of the longest diameter of the ellipse. half the length of the shortest diameter of the ellipse.
The semi-major axis of an ellipse is half the length of the longest diameter of the ellipse.
The semi-major axis of an ellipse is a fundamental parameter that determines its shape and size. It is defined as half the length of the longest diameter of the ellipse. The diameter of an ellipse is any line segment that passes through the center and has endpoints on the boundary of the ellipse. The longest diameter, also known as the major axis, is the diameter that has the largest length among all possible diameters of the ellipse.
To find the semi-major axis, we take half the length of the major axis. The major axis passes through the center of the ellipse and is the longest distance between any two points on the ellipse. By halving the length of the major axis, we obtain the semi-major axis, which represents the distance from the center to either focus of the ellipse.
The foci of an ellipse are two fixed points located on the major axis, equidistant from the center. The semi-major axis is indeed the distance between these two foci, as it is half the length of the longest diameter, which connects them. Thus, the semi-major axis provides a concise measure of the size and shape of an ellipse.
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(a) You wish to determine the height of the smokestack of a local coal burning power plant. You convince a member of the maintenance crew to mount the support for a simple pendulum at the top of the stack and you suspend a 1.00 kg mass that just misses the ground at its lowest point from the pendulum cord. If the period of the pendulum is 18.7 s, determine the height of the smokestack. 8455.69 Incorrect: Your answer is incorrect. What factors influence the period of a simple pendulum
Answer:
a. 86.80 m
b. i. The mass of the bob
ii. The length of the pendulum
Explanation:
a. Determine the height of the smokestack.
Using T = 2π√(L/g) where T = period of pendulum = 18.7 s, L = length of pendulum = height of smokestack and g = acceleration due to gravity = 9.8 m/s².
So, making L subject of the formula, we have
T = 2π√(L/g)
T/2π = √(L/g)
squaring both sides, we have
(T/2π)² = L/g
L = (T/2π)²g
Substituting the values of the variables into the equation, we have
L = (T/2π)²g
L = (18.7 s/2π)²(9.8 m/s²)
L = (2.976 s)²(9.8 m/s²)
L = 8.857 s² × 9.8 m/s²
L = 86.796 m
L ≅ 86.80 m
b. What factors influence the period of a simple pendulum
The factors that influence the period of a simple pendulum are
i. The mass of the bob
ii. The length of the pendulum