A baseball is thrown at 50 m/s horizontally from a height of 3 m. How far will the ball travel before it reaches the ground?
Answer:
Approximately \(39 \; \rm m\), assuming that the gravitational field strength is \(g = 9.81\; \rm m\cdot s^{-2}\) and that the air resistance on this baseball is negligible.
Explanation:
Start by finding the duration \(t\) of the flight of this baseball.
The SUVAT equation \(h = (1/2)\, g\, t^{2} + v_{0} \, t\) relates \(t\) to initial height \(h\), initial vertical velocity \(v_{0}\), and gravitational acceleration \(g\). (This equation applies only if the air resistance on the baseball is negligible.)
The initial vertical velocity of this baseball would be \(v_{0} = 0\; \rm m\cdot s^{-1}\) since this ball was thrown horizontally. The equation becomes:
\(\begin{aligned}h &= \frac{1}{2}\, g\, t^{2} + v_{0} \, t \\ &= \frac{1}{2}\, g\, t^{2}\end{aligned}\).
Rearrange and solve for \(t\):
\(\begin{aligned}t^{2} &= \frac{2\, h}{g} \end{aligned}\).
\(\begin{aligned}t &= \sqrt{\frac{2\, h}{g}} && (\text{$t \ge 0$)} \end{aligned}\).
(So is the case for other free fall motions where the initial vertical velocity is \(0\).)
Substitute in \(g = 9.81\; \rm m\cdot s^{-2}\) and the initial height of the baseball \(h = 3\; \rm m\):
\(\begin{aligned}t &= \sqrt{\frac{2\, h}{g}} \\ &= \sqrt{\frac{3\; \rm m}{9.81\; \rm m\cdot s^{-2}}} \\ &\approx 0.782\; \rm s\end{aligned}\).
In other words, the baseball would have flown for approximately \(0.782\; \rm s\) before landing. If there is no air resistance on this baseball, the horizontal velocity of this baseball would be constant (\(50\; \rm m\cdot s^{-1}\) until the ball lands.) This baseball would have travelled a horizontal distance of approximately:
\(50\; \rm m \cdot s^{-1} \times 0.782\; \rm s \approx 39\; \rm m\).
6. The star nearest to our Sun is Alpha Centauri, which is 4.3 light years away. A light
year is the distance that light travels in one year. 1 light year is about
9,500,000,000,000kilometers. Again, use the unit cancelation technique:
How many astronomical units is it to Alpha Centauri? HELP
Answer:
273,000 Astronomical Units.
Explanation:
4.3 light years = 40,850,000,000,000 kilometeres, 4.3 x 9,500,000,000,000.
Convert kilometers to astronomical unit:
149,597,870 kilometers = 1 AU, convert unit.
40,850,000,000,000 divided by 149,597,870 = 273,065.385222 or approx. 273,000 AU.
HURRY URGENT ASAP I WILL GIVE BRAINLIEST
What does mutate mean?
a)Change the DNA of your cells
b) Kill your DNA
c)Kill your cell
d)Change the cell
Answer:
A
Explanation:
A circular hoop of mass m, radius r, and infinitesimal thickness rolls without slipping down a ramp inclined at an angle θ with the horizontal. a. what is the acceleration αα of the center of the hoop? b. what is the minimum coefficient of (static) friction μminμmin needed for the hoop to roll without slipping?
The acceleration (α) of the center of the hoop: α = (mg * sin(θ)) / (2m) = (g * sin(θ)) / 2
The minimum coefficient of static friction (μmin) needed for the hoop to roll without slipping: μmin = α / (g * cos(θ)) = (g * sin(θ) / 2) / (g * cos(θ)) = tan(θ) / 2
The acceleration (α) of the center of the circular hoop can be determined by applying Newton's second law and the principle of conservation of angular momentum. Considering gravitational force (mg), normal force (N), and friction force (f) acting on the hoop, we can write:
mg * sin(θ) - f = m * α (1) (linear motion) and f * r = I * α/r (2) (angular motion)
For a hoop, the moment of inertia (I) is given by I = m * r^2. Substituting this into equation (2) and solving for f, we get:
f = m * α (3)
Now, substitute equation (3) into equation (1):
mg * sin(θ) - m * α = m * α
Rearranging the terms, we get the acceleration (α) of the center of the hoop:
α = (mg * sin(θ)) / (2m) = (g * sin(θ)) / 2
For the hoop to roll without slipping, the static friction (f) must be equal to the torque acting on the hoop. The minimum coefficient of static friction (μmin) can be determined using the frictional force equation:
f = μmin * N
Since the normal force (N) equals mg * cos(θ), the frictional force can be written as:
f = μmin * mg * cos(θ)
Now, substituting f = m * α from equation (3) into this equation, we get:
m * α = μmin * mg * cos(θ)
Rearranging the terms, we find the minimum coefficient of static friction (μmin) needed for the hoop to roll without slipping:
μmin = α / (g * cos(θ)) = (g * sin(θ) / 2) / (g * cos(θ)) = tan(θ) / 2
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If the gravity of the moon is about 16th the gravity on earth, how will a clock's period on the moon compare with that on earth?
The clock's period on the moon will be longer compared to that on Earth.
It is approximately √(6) times longer.
The period of a clock refers to the time it takes for one complete cycle or revolution. In the case of a pendulum clock, for example, the period is determined by the length of the pendulum and the acceleration due to gravity.
On Earth, the acceleration due to gravity is approximately 9.8 m/s². However, on the moon, the gravity is about 1/6th that of Earth, which means the acceleration due to gravity on the moon is approximately 1/6th of 9.8 m/s².
Let's denote the period of the clock on Earth as T_Earth and the period of the clock on the moon as T_Moon.
Since the acceleration due to gravity on the moon is 1/6th that of Earth, we can express the relationship between the periods as follows:
T_Moon = T_Earth * √(g_Earth/g_Moon)
where g_Earth is the acceleration due to gravity on Earth and g_Moon is the acceleration due to gravity on the moon.
Plugging in the values, we have:
T_Moon = T_Earth * √(9.8 m/s² / (1/6 * 9.8 m/s²))
= T_Earth * √(6)
Therefore, the clock's period on the moon will be longer compared to that on Earth, specifically, approximately √(6) times longer.
The clock's period on the moon will be longer compared to that on Earth, approximately √(6) times longer.
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PLEASE HELP ME FAST MANY POINTS BRAINLIEST TO BEST
What is pitch related to in terms of sound? Does it affect its speed? If so, how?
Answer:
pitch relates to sound because it involves sound getting louder or softer. it does not affect speed.
The normal force of a parked car on a level surface is 15,000 Newtons. What is the force of the car?
Answer:
The force of the car is 15000N.
Explanation:
The unit of force is Newtons (N), so based on the question, the force is 15000 Newtons.
akeem is walking on the beach on a hot summer day. the sand is very hot, so he runs and puts his feet in the water, which is much cooler. explain why
Akeem is walking on the beach on a hot summer day and the sand is very hot. This is because sand has a low specific heat capacity, which means that it does not retain heat well and can easily get hot when exposed to the sun. As Akeem walks on the sand, his feet absorb this heat and start to feel uncomfortable and even painful.
In order to cool down his feet, Akeem runs towards the water and puts his feet in it. This is because water has a high specific heat capacity, which means that it can retain a lot of heat without getting hot quickly. As a result, the water is much cooler than the sand.
When Akeem puts his feet in the water, the heat from his feet is transferred to the water, which has a lot of capacity to absorb it. This causes the water to warm up slightly, but not enough to make it uncomfortable for Akeem. At the same time, the water cools down Akeem's feet, making him feel much more comfortable.
In summary, Akeem runs towards the water and puts his feet in it because the water has a higher specific heat capacity than the sand, which means that it can absorb the heat from his feet without getting hot quickly. This cools down his feet and makes him feel much more comfortable on the hot summer day.
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a bullet with 200g of mass, moving with velocity of 600 m/s. enters to a block of wood and stops in 0.1 sec. what is the average force bullet feels?
When is the photoelectric effect observed?
The photoelectric effect is observed when light interacts with matter, specifically when photons (particles of light) transfer their energy to electrons in an atom or a material. The correct answer is A. When an electric current results from light shining on a surface.
In the early 20th century, Albert Einstein provided a groundbreaking explanation of the photoelectric effect, which earned him the Nobel Prize in Physics in 1921. His work established the dual nature of light, both as a wave and as a particle (photon). Here's a detailed explanation of the photoelectric effect:
When light shines on a surface, it is composed of photons that carry energy. These photons interact with electrons in the material. The photoelectric effect occurs when photons transfer their energy to electrons, causing them to be emitted from the material.
The process can be described in several steps:
1. Absorption: When a photon with sufficient energy interacts with an electron in an atom or material, it can be absorbed. The energy of the photon is transferred to the electron, promoting it to a higher energy level or even releasing it from the atom.
2. Ejection: If the energy of the absorbed photon is greater than or equal to the binding energy of the electron (also known as the work function), the electron can be ejected from the material. The work function represents the minimum energy required to remove an electron from the material's surface.
3. Electron emission: The ejected electron can now contribute to the formation of an electric current. If there is a conducting material connected to the surface, the released electron can move through the material, resulting in the flow of electric charge.
The photoelectric effect is not observed when light acts solely as a wave (option B). While light does exhibit wave-like properties, such as interference and diffraction, these phenomena do not directly involve the transfer of energy from photons to electrons.
Option C, "When an electric current causes light to be produced," does not accurately describe the photoelectric effect. The photoelectric effect involves the emission of electrons due to the interaction of light with matter, but it does not directly produce light as a result of an electric current.
Option D, "Any time an electric current is produced," is a broad statement that encompasses various phenomena beyond the photoelectric effect. Electric currents can be produced in various ways, such as through the flow of charged particles or the movement of electrons in a conductor. The photoelectric effect is a specific phenomenon that occurs when light interacts with matter and results in the emission of electrons.
To summarize, the photoelectric effect is observed when light shines on a surface, and the energy of photons is transferred to electrons, leading to their emission from the material. This emission of electrons can result in the formation of an electric current.
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I think it is the question:
When is the photoelectric effect observed?
A. When an electric current results from light shining on a surface
B. When light acts as a wave
C. When an electric current causes light to be produced
D. Any time an electric current is produced .
due to their great masses, all four jovian worlds are much denser than the earth. true/false
The given statement "due to their great masses, all four Jovian worlds are much denser than the Earth" is false due to their great masses, all four Jovian worlds (Jupiter, Saturn, Uranus, and Neptune) are not denser than Earth.
In fact, they are less dense because they are primarily composed of lighter elements like hydrogen and helium, whereas Earth is composed of heavier elements such as iron, oxygen, and silicon.
All four jovian (gas giant) planets - Jupiter, Saturn, Uranus, and Neptune - have much lower densities than Earth despite their much greater masses. The reason for this is that the Jovian planets are mostly composed of gas and ice, while the Earth is primarily composed of rock and metal.
Jupiter, the largest of the Jovian planets, has a density of only 1.33 g/cm^3, which is less than a quarter of Earth's density. Similarly, Saturn has a density of 0.69 g/cm^3, Uranus has a density of 1.27 g/cm^3, and Neptune has a density of 1.64 g/cm^3. In contrast, Earth's density is approximately 5.5 g/cm^3.
Thus, the statement that all four Jovian planets are much denser than the Earth is false, and in fact, they are much less dense due to their primarily gaseous and icy compositions.
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How is it possible to blow a balloon?
Explanation:
To blow up a balloon, start by pinching the neck of the balloon with your index finger and thumb. Then, take a deep breath and put the opening of the balloon in between your lips. When you're ready, loosen your grip on the neck and blow into the balloon opening so the balloon starts to fill with air.May
atom X contains seven protons and seven neutrons. atom Z contains seven protons and eight neutrons. which of the following statements correctly describes the two atoms?
A.they are isotopes.
B.they are radioactive.
C they have the same mass number.
D they are atoms of different elements.
Answer:
The correct answer is option A: they are isotopes.
Explanation:
From atom X we know that the number of protons is 7 and the number of neutrons is 7 and from atom Z we know that the number of protons is 7 and the number of neutrons is 8.
Since the number of protons of atom X and atom Z is the same, we have that atom X and atom Z is the same element. The difference in the number of neutrons tells us that atom X and atom Z are isotopes. Remember that an isotope is one element that has atoms with different numbers of neutrons.
The mass number is given by:
\( A = p + n \)
Where n is the number of neutrons and p is the number of protons.
For atom X and atom Z we have:
\( A_{x} = 7 + 7 = 14 \)
\( A_{z} = 7 + 8 = 15 \)
Hence, they have a different mass number.
We know that the element with 7 protons is nitrogen. The first isotope is \(^{14}_{7}N\) and the second isotope is \(^{15}_{7}N\). Both isotopes are stables (they are not radioactive).
Therefore, the correct answer is option A: they are isotopes.
I hope it helps you!
8N--> 8N--> 3N--> 12N<--
Your math problem
8−−>8−−>3−−>12<−−
whats your question xD
HURRY PLEASE!!I’ll mark you as brainiest!! 15 points
compare the circuits and lightbulbs below. which would be brighter? a or b? explain why.
Answer:
I think A. would be brighter
Explanation:
Circuit A has only one bulb so it gets 100% of the electricity
Circuit B has two bulbs which means that they only get 50% of the electricity because it has to be split equally.
Hope it helps!
if a solution contains 30 g of
potassium chloride (KCI) per 100 mL of water at 60°C, the
solution would be considered saturated.
true
false
A 4.00-m long rod is hinged at one end. The rod is initially held in the horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is released
Answer:
The angular acceleration α = 14.7 rad/s²
Explanation:
The torque on the rod τ = Iα where I = moment of inertia of rod = mL²/12 where m =mass of rod and L = length of rod = 4.00 m. α = angular acceleration of rod
Also, τ = Wr where W = weight of rod = mg and r = center of mass of rod = L/2.
So Iα = Wr
Substituting the value of the variables, we have
mL²α/12 = mgL/2
Simplifying by dividing through by mL, we have
mL²α/12mL = mgL/2mL
Lα/12 = g/2
multiplying both sides by 12, we have
Lα/12 × 12 = g/2 × 12
αL = 6g
α = 6g/L
α = 6 × 9.8 m/s² ÷ 4.00 m
α = 58.8 m/s² ÷ 4.00 m
α = 14.7 rad/s²
So, the angular acceleration α = 14.7 rad/s²
Drop a book and a piece of paper side by side. Now, put the piece of paper flat on top of the
book and drop them together. Explain what happens and why it happens.
Don't mind this, just figuring something out
Answer:
ok
Explanation:
Have a nice day!
Which has greater kinetic energy: a bullet that has a mass of 0.05 kg travelling at 2500 m/s, or a lorry that has a mass of 4500 kg and is moving at 50 m/s?
Answer:
its the lorry
Explanation:
The kinetic energy of the truck will be, 5625000 kg m/s and the kinetic energy of the bullet will be 156250 kg m/s. So the kinetic energy of the lorry will be higher than the kinetic energy of the Bullet.
What is Kinetic Energy?Kinetic energy is a type of energy that a particle or an object possesses as a result of its motion. By exerting a net force on an item, work is done, which transfers energy; as a result, the object accelerates and obtains kinetic energy.
A moving item or particle's ability to move depends on both its mass and velocity. This is known as kinetic energy. Translation (or movement along a path from one location to another), rotation about an axis, vibration, or any combination of motions are examples of possible types of motion.
According to the question,
K.E of the lorry: 1/2 (4500)(50)²
K.E of the lorry = 5625000 kg m/s.
K.E of the bullet: 1/2(0.05)(250)²
K.E of the bullet = 156250 kg m/s
Hence, the kinetic energy of the lorry is greater than the kinetic energy of the bullet.
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If the incident beam of light in the figure below makes an angle (20 degrees) from the normal. What is the angle between the reflected ray and the mirror in the figure below?
Answer:
the reflected angle must be 20º
Explanation:
The surface on which the ray of light falls is a mirror, therefore the law of reflection must be fulfilled, which establishes that the incident angle is equal to the reflected angle.
Therefore, if the incident angle is 20º, the reflected angle must be 20º receiving the normal.
HELP PLEASEEEEEEEEEEEE
Answer:
Electrical energy is transferred from the wall socket to the computer. Electrical energy is transformed to sound and light energy when the computer is turned on. Electrical energy is transformed to heat energy when the computer stays on.
Why is the Ring of Fire a very geologically active part of the earth?
Question options:
The dense Pacific plate is being subducted from multiple directions.
The plates surrounding the Pacific are diverging and increasing the size of the Pacific plate.
The Pacific plate is surrounded by a hot spot.
What is the medium for the waves in the photograph?
O A. Leaves
O B. Water
O C. Stones
O D. Air
I need help with the 1st and the 3rd one plzzzzzzzzzzzzz
Answer for the first one is 2. The answer for the 3rd one is 8
Aluminum oxide consists of two ions chemically bonded together. What are the charges of each ion? O A. Al3+ and 02- B. A12+ and 03- O C. A13- and 02+ O D. A12- and 03+
Answer:
a
Explanation:
just did it on a p e x
Aluminum oxide consists of one aluminum ion (Al3+) and two oxygen ions (O2-) chemically bonded together to form the compound Al2O3. The correct option is A.
What is a chemical bond?A chemical bond is a force of attraction that holds two or more atoms together in a molecule or compound. Atoms can bond together by sharing or exchanging electrons in their outermost energy levels, which is also known as the valence shell.
There are three main types of chemical bonds:
Covalent bond: This bond occurs when two or more atoms share electrons in their outermost energy level. Covalent bonds are strong and are commonly found in molecules of compounds like water (H2O) and methane (CH4).
Ionic bond: This bond occurs when one atom donates one or more electrons to another atom, forming oppositely charged ions that are then attracted to each other. Ionic bonds are strong and are commonly found in compounds like table salt (NaCl) and calcium chloride (CaCl2).
Metallic bond: This bond occurs between atoms of metallic elements, where their outer electrons are delocalized and shared among all the atoms in the metallic structure. Metallic bonds are strong and are responsible for the properties of metals like malleability and conductivity.
Chemical bonds are essential for the formation of molecules and compounds that make up all matter in the universe. Understanding chemical bonds is crucial for fields such as chemistry, biology, and materials science.
Here in the Question,
Option B, "A12+ and O3-", is not true because aluminum ions, in their stable state, lose three electrons to form a +3 ion, not a +2 ion.
Option C, "A13- and O2+", is not true because aluminum ions, in their stable state, lose three electrons to form a +3 ion, not a -3 ion.
Option D, "A12- and O3+", is not true because oxygen ions, in their stable state, gain two electrons to form a -2 ion, not a +3 ion.
Therefore, option A, "Al3+ and O2-", is the correct answer as aluminum oxide consists of one aluminum ion with a charge of +3 and two oxygen ions, each with a charge of -2, that bond together to form the compound Al2O3.
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What would be the electron configuration for an aluminum ion?.
Answer:
[Ne] 3s² 3p¹
Explanation:
Answer: 1s2 2s2 2p6
Explanation:
The aluminum ground state would be 1s2 2s2 2p6 3s2 3p1.
However, the Aluminum Ion electron configuration would be 1s2 2s2 2p6 as it has LOST 3 electrons to have the noble gas configuration of Neon (Ne)
Which of the following statements is not true
Answer:
The answer is the First One
Explanation:
Electromagnets can work with a magnetic source, and not just electric. sorry if my answer turns out to be wrong
Two planets are orbiting a star in a distant galaxy the first has a semimajor axis of 150 x 10^6 km an eccentricity of 0. 20 and a period of 1. 0 earth years
For two planets orbiting a star in a distant galaxy, having the first semimajor axis of 150 x 10^6 km, the period of the second plane is mathematically given as
T=2.2earth year
What is the period of the second planet?Generally, the equation for the time period is mathematically given as
\(T^{2} \appox a^{3}\)
Therefore, for planet one
\(1^2\approx (150 x 10^6)^3\)
In conclusion, For planet 2
T^2=(250/150)^3
T=√4.632
T=2.2earth year
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The period of the second planet for two planets circling a star in a faraway galaxy with a first semimajor axis of 150× 10⁶ km. The time period of the planet will be 2.2 earth years.
What is the time period of the revolution?The time period of the revolution is the time required to complete one revolution. It is guven by T. It is measured in seconds.
The equation of the time period is found as;
\(\rm T = \frac{250}{150} ^3 \\\\ T= \sqrt{4.632} \\\\ T=2.2 \ earth \ year\)
Hence the time period of the planet will be 2.2 earth years.
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a ball is shot from a cannon straight up into the air. when it falls back to earth, a radar gun measures its velocity to be 118 m/sec downwards as it reaches the same place from which it was fired. what was the velocity of the bullet when it left the gun?
The velocity of the bullet when it left the gun is 118 m/s.
We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
vt = 118 m/s
g = 9.8 m/s²
Find the time taken to maximum height where the initial velocity is zero
vt = vo + at
118 = 0 + g . t
118 = 9.8.t
t = 12.04 s
Find the velocity of bullet when it left the gun
vt = vo - gt
0 = vo - 9.8 . 12.04
vo = 118 m/s
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