Using the equation of motion v = u + gt and knowing that at the top of its trajectory the final velocity of the ball is 0, the time it takes to reach there is 0.5 seconds and the acceleration due to gravity is -9.8 m/s², we can determine the magnitude of the initial vertical component of the velocity to be 4.9 m/s. As the ball was thrown at a 30° angle, this means the magnitude of the initial velocity is 9.8 m/s.
Explanation:In order to find the initial velocity of a projectile, we can use a foundational equation from Physics. Specifically, the formula v = u + gt where v is the final velocity, u is the initial velocity, g is acceleration due to gravity, and t is time. We're told that the ball takes 0.5 seconds to reach the top of its trajectory. At the top of its trajectory, the ball's final velocity will be 0 m/s (because it momentarily stops before falling back down). Also, the acceleration due to gravity is -9.8 m/s². Re-arranging the formula to solve for u gives us u = v - gt. Replacing v with 0, g with -9.8 m/s², and t with 0.5 s gives u = 0 - (-9.8 m/s² * 0.5s) = 4.9 m/s. However, this 4.9 m/s is just the vertical component of the initial velocity, because gravity acts vertically. Since the balls is thrown at an angle of 30°, to get the magnitude of the initial velocity, we have to divide 4.9 m/s by sin(30°) which gives us roughly 9.8 m/s. Therefore, the magnitude of the initial velocity is approximately 9.8 m/s.
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Three people pull simultaneously on a stubborn donkey. jack pulls directly ahead of the donkey with a force of 97.9 n, jill pulls with 72.7 n in a direction 45° to the left, and jane pulls in a direction 45° to the right with 145 n. (since the donkey is involved with such uncoordinated people, who can blame it for being stubborn?) find the magnitude of the net force the people exert on the donkey.
To find the net force on the donkey, we decompose the angled forces into horizontal and vertical components and add them accordingly. Since the vertical components cancel out, the net force is the sum of Jack's force and the combined horizontal components from Jill and Jane, resulting in a net force of 149 N ahead.
The problem presented requires an analysis of forces and vector addition to calculate the net force exerted on a donkey by three different people. We have Jack applying 97.9 N directly ahead, Jill pulling with 72.7 N at a 45° angle to the left, and Jane pulling with 145 N at a 45° angle to the right. To solve this, we must break down Jill's and Jane's forces into their horizontal and vertical components and then combine these with Jack's force.
Jill's horizontal component: 72.7 N × cos(45°) = 51.4 N to the left
Jill's vertical component: 72.7 N × sin(45°) = 51.4 N up
Jane's horizontal component: 145 N × cos(45°) = 102.5 N to the right
Jane's vertical component: 145 N × sin(45°) = 102.5 N up
Now we can subtract Jill's horizontal component from Jane's because they are in opposite directions: 102.5 N (Jane's right) - 51.4 N (Jill's left) = 51.1 N to the right. The vertical components from Jill and Jane will cancel each other since the donkey is stubborn and not moving vertically, hence we are left with only the horizontal forces to combine with Jack's force.
The total horizontal force exerted by Jack and combined with the net horizontal force from Jill and Jane is 97.9 N (Jack's force)+ 51.1 N (net horizontal force) = 149 N.
Thus, the magnitude of the net force the people exert on the donkey is 149 N directly ahead, assuming no vertical movement.
An ideal monatomic gas at 300 k expands adiabatically and reversibly to twice its volume. what is its final temperature?
It takes 2.40s for a small ball with a mass of 0.08 kg released from rest from a tall building to reach the ground. calculate the height from which the ball is released. follow 1 answer if that ball had been released from the same height, but this time above the surface of the moon, how long would it have taken for the ball to hit the ground?
In Robin’s linguistics class, the teacher and students are discussing how the word “nice” once meant “foolish” and how “awful” used to mean “full of awe.” They are most likely discussing ______
A.
morphemes
B.
semantics
C.
phonemes
D.
syntax
At 600.0 k the rate constant is 6.1× 10–8 s–1. what is the value of the rate constant at 785.0 k?
A monatomic ideal gas expands slowly to twice its original volume, doing 370 j of work in the process. part a find the heat added to the gas if the process is isothermal.
How do the planets Venus and Neptune differ in terms of atmospheric composition?
(A)Venus has carbon dioxide in its atmosphere, while Neptune has methane in its atmosphere.
(B)Venus has oxygen in its atmosphere, while Neptune has carbon monoxide in its atmosphere.
(C)Venus has hydrogen chloride in its atmosphere, while Neptune has helium in its atmosphere.
(D)Venus has nitrogen in its atmosphere, while Neptune has oxygen and hydrogen in its atmosphere.
(E)Venus has sulfur dioxide in its atmosphere, while Neptune has nitrogen dioxide in its atmosphere.
Answer: The correct option is Option A.
Explanation:
Atmosphere is defined as the layer of gases which form an envelope around a planet.
Venus is the second and Neptune is the last planet of our solar system.
Venus's atmosphere mainly consists of carbon dioxide with trace amounts of nitrogen, argon , helium and neon.
Neptune's atmosphere mainly consists of helium and hydrogen with 2.5 to 3% of methane gas in it.
From the above information, the correct answer comes out to be Option A.
When mass m is tied to the bottom of a long, thin wire suspended from the ceiling, the wire's second-harmonic frequency is 180 hz . adding an additional 1.2 kg to the hanging mass increases the second-harmonic frequency to 270 hz . part a what is m?
Given second-harmonic frequencies and added mass, solve [tex]\(1.5^2 = \frac{m + 1.2}{m}\) to find \( m = 0.96 \)[/tex] kg.
To find the mass [tex]\( m \)[/tex] that results in the given second-harmonic frequencies, we will use the formula for the frequency of standing waves on a wire under tension.
The second-harmonic frequency for a wire is given by:
[tex]\[f = \frac{2}{L} \sqrt{\frac{T}{\mu}}\][/tex]
where:
- [tex]\( f \)[/tex] is the frequency,
- [tex]\( L \)[/tex] is the length of the wire,
- [tex]\( T \)[/tex] is the tension in the wire,
- [tex]\( \mu \)[/tex] is the linear mass density of the wire.
The tension [tex]\( T \)[/tex] in the wire is due to the hanging mass [tex]\( m \)[/tex] and is given by:
[tex]\[T = mg\][/tex]
where [tex]\( g \)[/tex] is the acceleration due to gravity (approximately [tex]\( 9.8 \, \text{m/s}^2 \)[/tex]).
The second-harmonic frequency is given, so for the initial mass [tex]\( m \)[/tex]:
[tex]\[f_1 = 180 \, \text{Hz}\][/tex]
[tex]\[180 = \frac{2}{L} \sqrt{\frac{mg}{\mu}}\][/tex]
When an additional 1.2 kg is added to the mass, the new mass becomes [tex]\( m + 1.2 \)[/tex] kg and the second-harmonic frequency becomes:
[tex]\[f_2 = 270 \, \text{Hz}\][/tex]
[tex]\[270 = \frac{2}{L} \sqrt{\frac{(m + 1.2)g}{\mu}}\][/tex]
To find [tex]\( m \)[/tex], we will set up the ratio of the two frequencies and solve for [tex]\( m \)[/tex]:
[tex]\[\frac{f_2}{f_1} = \frac{270}{180} = 1.5\][/tex]
Using the ratio of the frequencies:
[tex]\[\frac{270}{180} = \frac{\sqrt{\frac{(m + 1.2)g}{\mu}}}{\sqrt{\frac{mg}{\mu}}}\][/tex]
Squaring both sides to eliminate the square roots:
[tex]\[\left(\frac{270}{180}\right)^2 = \frac{(m + 1.2)g}{mg}\][/tex]
[tex]\[\left(1.5\right)^2 = \frac{(m + 1.2)}{m}\][/tex]
[tex]\[2.25 = \frac{m + 1.2}{m}\][/tex]
Multiplying both sides by [tex]\( m \)[/tex]:
[tex]\[2.25m = m + 1.2\][/tex]
Solving for [tex]\( m \)[/tex]:
[tex]\[2.25m - m = 1.2\][/tex]
[tex]\[1.25m = 1.2\][/tex]
[tex]\[m = \frac{1.2}{1.25}\][/tex]
[tex]\[m = 0.96 \, \text{kg}\][/tex]
Therefore, the mass [tex]\( m \)[/tex] is [tex]\( 0.96 \)[/tex] kg.
Two identical charges are separated by a distance d. If the distance between them is increased to 3d, what will happen to the force of repulsion between them? A) It will be one-ninth the original force. B) It will be one-third the original force. C) It will be nine times the original force. D) It will be three times the original force.
Answer:
A
Explanation:
If the distance between them is increased to 3d then the force of repulsion between them is, It will be one-ninth the original force
What is electric force ?The force of repulsion between two identical charges is given by Coulomb's law, which states that the force between two charges is proportional to the product of the charges and inversely proportional to the square of the distance between them. Mathematically, it can be expressed as:
F = k x (q₁ x q₂) / d²
where F is the force of repulsion, q₁ and q₂ are the magnitudes of the charges, d is the distance between the charges, and k is the Coulomb constant.
When the distance between the charges is increased to 3d,
the force of repulsion will decrease,
since the denominator in the above equation will increase.
Specifically, the force will become one-ninth the original force, since the square of 3 is 9.
So the answer to the question is (A) It will be one-ninth the original force.
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You are walking in the forest and see a bear. According to the Cannon-Bard theory, what happens next?
for the whole quiz of intro to psychology ;)
1. Stimulus--> Physiological changes--> emotion
2. Darwin
3.You experience physiological changes and a feeling of fear simultaneously
4. Cannon-Bard theory
5. James-Lange theory
6. David G. Myers
7. Happiness
8. Acting happy
9. negative and dysfunctional aspects of emotion and behavior.
10. an aspect of consciousness characterized by a certain physical arousal involving facial and bodily changes, brain activation, and tendencies toward action, all shaped by cultural rules.
I do this cause i wished someone did this for me. So stress no more from falling behind and Ace that quiz. your welcome comrades
-10/11/18
According to the Cannon-Bard theory, physiological changes and the feeling of fear occur simultaneously.
What is Cannon-Bard theory?The Cannon–Bard theory is also called the thalamic theory of emotion which is related to the thalamus. It is a part of the brain that deals with sensory and motor functions. The main concepts of this theory are that emotional expression arises from the function of hypothalamic structures while emotional feeling arises from stimulation of the dorsal thalamus.
This theory states that the lower part of the brain controls the experience of emotion while the upper part of the brain, called the cortex, controls the expression of emotion. These two parts of the brain react together
In this theory, stimulating events trigger emotions and physiological responses that occur at the same time. For example, seeing a bear in the woods can cause both a feeling of fear (an emotional response) and a faster heartbeat (a physical response).
Thus, according to the Cannon-Bard theory, physiological changes and the feeling of fear occur simultaneously.
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The acceleration of gravity at the surface of the moon is approximately 1/6 that at the surface of the earth (9.8 m/s2). what is the weight of an astronaut standing on the moon whose weight on earth is 210 lb?
The weight of an astronaut standing on the moon can be calculated using the equation weight = mass × acceleration due to gravity. By calculating the weight using the ratio of acceleration due to gravity on the moon compared to that on Earth, we find that an astronaut with a weight of 210 lb on Earth would weigh approximately 158.18 lb on the moon.
Explanation:The weight of an astronaut standing on the moon can be calculated using Newton's second law of motion. The formula to calculate weight is weight = mass × acceleration due to gravity. Since the acceleration due to gravity on the moon is approximately 1/6 that at the surface of the earth, we can calculate the weight using this ratio.
First, we need to convert the weight on earth from pounds to kilograms. Since 1 kilogram is approximately 2.2 pounds, we divide the weight on earth (210 lb) by 2.2 to get the weight in kilograms.
Next, we multiply the weight in kilograms by the acceleration due to gravity on the moon (1/6 of 9.8 m/s^2) to find the weight of the astronaut on the moon.
This results in a weight of approximately 158.18 lb on the moon for an astronaut whose weight on earth is 210 lb.
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What has MOST LIKELY caused a change in the soil in the wheat field shown?
Erosion removes rocks and soil by wind, water, ice, and gravity.
Which statement correctly describes the current in a circuit that is made up of any two resistors connected in series with a battery
A. The current in the battery is less than the current in either resistor.
B. The current in the battery equals the product of the currents in the resistors.
C. The current in the battery equals the sum of the currents in the resistors.
D. The current in the battery and in each resistor is the samattery?
for those on ~ a p e x ~ note that this question asks when the resistors are connected in SERIES
if you have the question for in PARALLEL the answer is:
> The current the battery equals to the sum of the currents in the resistors
wink wonk
Which best characterizes a crystal? a number of high speed particles moving randomly a dense substance that is hard and incompressible a high-energy state of matter made up of a swirling, ionized gas a loose association of particles moving past one another Mark this and return
a dense substance that is hard and incompressible
To what potential should you charge a 0.900 μf capacitor to store 1.50 j of energy
Which theory proposes that the moon was a passing asteroid pulled into orbit by Earth's gravity? impact theory co-formation theory capture theory synchronous theory
Final answer:
The capture theory suggests the Moon was a passing asteroid that Earth's gravity pulled into orbit, but this theory is challenged by the Moon's orbit and compositional similarities to Earth. The widely accepted explanation is the giant impact hypothesis.
Explanation:
The theory that proposes the Moon was a passing asteroid pulled into orbit by Earth's gravity is known as the capture theory. However, there are significant challenges with this theory, including the need for a substantial loss of energy for a body to achieve orbit, which is difficult to explain for an object of the Moon's size. Moreover, the capture theory does not account for the nearly circular orbit of our Moon, nor does it explain the compositional similarities between the Earth and the Moon, particularly regarding isotopes of oxygen. The currently accepted explanation for the Moon's origin favoring these evidences is the giant impact hypothesis, which suggests the Moon formed from the debris of a collision between Earth and a Mars-sized body.
A small object carrying a charge of -2.50 nc is acted upon by a downward force of 18.0 nn when placed at a certain point in an electric field
B.What would be the magnitude and direction of the force acting on a proton placed at this same point in the electric field?"
Solution:
A) A charge q under an electric field of intensity E will experience a force F equal to:
[tex]F=qE[/tex]
In our problem we have [tex]q=-2.5 nC=-2.5\cdot 10^{-9} C[/tex] and [tex]F=18 nN = 18 \cdot 10^{-9} N[/tex], so we can find the magnitude of the electric field:
[tex]E= \frac{F}{q}= \frac{18\cdot 10^{-9}N}{2.5\cdot 10^{-9}C}=7.2 V/m [/tex]
The charge is negative, therefore it moves against the direction of the field lines. If the force is pushing down the charge, then the electric field lines go upward.
B) The proton charge is equal to
[tex]e=1.6\cdot 10^{-19} C[/tex]
Therefore, the magnitude of the force acting on the proton will be
[tex]F=eE=1.6\cdot 10^{-19} C \cdot 7.2 V/m=1.15 \cdot 10^{-18} N[/tex]
And since the proton has positive charge, the verse of the force is the same as the verse of the field, so upward.
In 1665 Sir Isaac Newton proposed the fundamental law of gravitation as a universal force of attraction between any two bodies. What does this theory state about the force that makes an apple fall and the force that keeps the moon in its orbit?
Newton's universal law of gravitation states that the force that makes an apple fall and the force that keeps the moon in its orbit are both caused by gravity. The force of gravity is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
Explanation:Newton's universal law of gravitation states that every object in the universe attracts every other object with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. This means that the force that makes an apple fall and the force that keeps the moon in its orbit are both caused by gravity. In both cases, the force of gravity is acting between two bodies and is dependent on their masses and the distance between them.
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A force of 15 N is applied to a spring, causing it to stretch 0.3 m. What is the spring constant for this particular spring?
what are the inner planets relative distance from the Sun
There are two types of planets as classifieds by astronomers in our solar system.
The classification is based on the asteroid belt present in our solar system.
These are named as - [1] inner planets
[2]outer planets
The inner planets are the planets which are very close to the sun and present before the asteroid belt starting from sun.
The outer planets which are present after the asteroid belt are Jupiter,Uranus,Neptune and Pluto[if we consider Pluto as a planet]
There are four planets considered as inner planets. These are arranged from closest to the farthest as Mercury,Venus,Earth ad Mars.
The distance of Mercury from the sun is 57.91 million km
The distance of Venus from sun is 108.2 million km
The distance of Earth from sun is 149.6 million km
Finally the distance of Mars from the sun is 227.9 million km
What must the charge (sign and magnitude) of a particle of mass 1.42 g be for it to remain stationary when placed in a downward-directed electric field of magnitude 610 n/c ? use 9.81 m/s2 for the magnitude of the acceleration due to gravity. view available hint(s)?
Which of the following is the best definition of a short circuit
A. A circuit that has a gap in the wire
B.A circuit that has little or no resistance
C.A circuit that uses little voltage
D.A circuit that uses very little wire
Answer:
B.A circuit that has little or no resistance
Explanation: a circuit is said to be short circuit if it has little or no resistance.
Shirt circuiting is very dangerous and can be done intentionally or unintended
D could also be correct if an amount of wire is ought to be used and you use a little wire. Knowing that wires have internal resistance too.
It could lead to short circuit
when the diaphragm contracts , air pressure in the chest increases . True or False ?
Answer: False
When the diaphragm contracts, the muscles will also contract and pull upward and increase the size of the thoracic cavity thus decreases air pressure inside during inspiration. After the diaphragm contracts, it goes to relaxation, the muscles will also relaxed. It gets looser and return to its original position higher up in the chest. This increase the pressure in the chest, which force the air in the lungs out through the nose.
Which part of a wind-powered system ultimately produces the electricity? A. nacelle B. blade C. turbine D. generator
Answer:
C) TURBINE
Explanation:
As we know that wind powered system is used to generate electricity using wind energy.
Here wind powered system has different components
1) Blades: these are long plates connected to the turbine. when these plates encountered high speed wind they start rotating on its axle.
This will produce kinetic energy in the axle which is transferred to the turbine.
2) Turbine: It is used to convert mechanical energy of the wind into useful electrical energy.
This is continuously driven by the kinetic energy of wind
So here correct answer is
C) Turbine
Which statement best compares momentum and kinetic energy? If you double the velocity of an object, its kinetic energy doubles. But for the same increase in velocity, the momentum increases four times. If you double the velocity of an object, its momentum doubles. But for the same increase in velocity, the kinetic energy increases four times. If you double the velocity of an object, its momentum and kinetic energy doubles. If you double the velocity of an object, its momentum and kinetic energy increases four times.
If you double the velocity of an object, its momentum doubles. But for the same increase in velocity, the kinetic energy increases four times.
Explanation:
We can prove this statement by looking at the formulas for the momentum and kinetic energy of an object.
Momentum: [tex]p=mv[/tex]
Kinetic energy: [tex]K=\frac{1}{2}mv^2[/tex]
where m is the mass of the object and v its velocity.
From the two formulas, we see that the momentum is directly proportional to the velocity, while the kinetic energy is proportional to the square of the velocity. Therefore, if we double the velocity, the momentum increases by a factor 2, while the kinetic energy increases by a factor [tex]2^2=4[/tex].
Momentum is directly proportional to an object's mass and velocity, while kinetic energy is directly proportional to an object's mass and the square of its velocity. When velocity is doubled, kinetic energy increases four times, while momentum doubles.
Explanation:Momentum and kinetic energy are both physical quantities that describe the motion of an object. Momentum is directly proportional to an object's mass and velocity, while kinetic energy is directly proportional to an object's mass and the square of its velocity.
In terms of velocity, if you double the velocity of an object, its kinetic energy increases four times (K = (1/2)mv²), but its momentum doubles. This is because momentum is equal to mass times velocity (p = mv), so when velocity doubles, momentum also doubles. However, since kinetic energy is proportional to the square of velocity, when velocity doubles, kinetic energy increases by a factor of four.
Therefore, the statement that best compares momentum and kinetic energy is: If you double the velocity of an object, its kinetic energy increases four times. But for the same increase in velocity, the momentum doubles.
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Maglev trains, like the one shown in the picture, use magnet fields to travel up to 600 miles per hour. Magnets on the bottom of the train and on the tops of the rails have similar magnetic poles. Based on properties of magnets, how do these magnets affect the train?
the 2 magnetic fields repel eachother
A car drives over the top of a hill that has a radius of 30 m . part a what maximum speed can the car have without flying off the road at the top of the hill?
The answer i got was 50 miles per hour
A ball is tossed from an upper-story window of a building. the ball is given an initial velocity of 7.90 m/s at an angle of 18.0° below the horizontal. it strikes the ground 4.00 s later. (a) how far horizontally from the base of the building does the ball strike the ground? 30.04 correct: your answer is correct. m (b) find the height from which the ball was thrown. incorrect: your answer is incorrect. work only with the vertical components of these quantities. this part of the problem is then a 1-dimensional free-fall example. m (c) how long does it take the ball to reach a point 10.0 m below the level of launching? s
A baseball is launched horizontally from a height of 1.8 m. The baseball travels 0.5 m before hitting the ground.
How fast is the baseball moving, rounded to the nearest hundredth?
m/s
Here we’re solving a problem where a ball is projected horizontally from a height of h=1.8 m with a horizontal velocity of Vx. At the impact with the ground, the ball has travelled 0.5 m horizontally.
Solution:
We will need kinematic equations
V1^2-V0^2=2aS ………………….(1)
S=V0*t + (1/2)at^2………………..(2)
Where
S=displacement (distance), m
V0=initial velocity, m/s
V1=final velocity, m/s
a=acceleration, m/s^2
t=time, seconds
At the point of impact, there a vertical velocity (downwards) of Vy.
The horizontal velocity Vx remains constant since projection till impact.
Vertical velocity Vy:
Using equation (1),
V0=0 (projected horizontally, so vertical velocity=0)
S=1.8 m (downwards)
a=9.81 m/s^2 (acceleration due to gravity, downwards)
=>
Vy=V1=sqrt(V0^2+2*a*S)=sqrt90+2*9.81*1.8)=5.9427
Horizontal velocity, Vx:
ball travelled 0.5m in time t it took ball to hit ground.
Using equation (2),
S=1.8m
V0=0
a=9.81
=>
1.8=0*t+(1/2)(9.81)t^2
Solve for t
t=sqrt(2*1.8/9.81)=0.60578 s
Horizontal velocity, Vx = 0.5/0.60578 = 0.82538 s
Speed of ball on impact is the vectorial sum of Vx and Vy:
Speed = sqrt(Vx^2+Vy^2)=sqrt(5.9427^2+0.82538^2)=5.99977 m/s, say 6.0 m/s.
Answer: 0.82
On ED2020
According to Binet, mental age relates to chronological age because ___________.
A.
they are the same thing
B.
mental age involves calculating the chronological age at which a person functions
C.
chronological age involves calculating how a person is mentally functioning
D.
they are opposites
Answer: The correct answer for the fill in the blank is B. Mental age involves calculating the chronological age at which a person functions.
Mental age corresponds to the attainment of mental abilities by an individual. It is related to intelligence and based on the chronological age ( calculated from the date on which individual was born) at which any average individual attains the same level of mental abilities.
Therefore, mental age involves calculation of the chronological age at which a person functions and attains mental abilities.