The initial horizontal velocity of the football if a player kicks a football from ground level with a velocity of 27/ms at an angle of 30 degrees above the horizontal is 23.662 m/s.
To find the initial horizontal velocity (Vx) of the football, you can use the horizontal component of the velocity vector. The horizontal component of velocity is found by multiplying the velocity by the cosine of the angle of launch.
[tex]V_{x}[/tex] = V × cos(angle)
where V is the initial velocity, the angle is the angle of launch (in this case, 30 degrees), and cos is the cosine function.
So, in this case, the initial horizontal velocity of the football would be:
[tex]V_{x}[/tex] = 27 m/s × cos(30)
[tex]V_{x}[/tex] = 27 m/s × 0.866
[tex]V_{x}[/tex] = 23.662 m/s
So the initial horizontal velocity of the football, which moves in the x-direction, is approximately 23.662 m/s.
This means the football will move 23.662 m/s in x direction initially and if no air resistance acts upon the football, it will move at the same velocity in x direction throughout the motion.
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Three point charges q1 = +2 μC, q2 = −3 μC, and q3 = +4 μC are located at the corners of a right angle triangle as shown below. Find the magnitude and direction of the resultant force on q3.
Answer:
Explanation:
4
The magnitude and direction of the resultant force on q3 is;
F_net = 32.2 N in the direction of q3
We are given;
q1 = +2 μC = 2 × 10^(-6) C
q2 = -3 μC = -3 × 10^(-6) C
q3 = +4 μC = 4 × 10^(-6) C
Now,from the given image, charges q1 and q2 attract charge q3.
Formula for force on a charge is;
F = (kq1 * q2)/r²
Where;
k = 9 × 10^(9) N.m²/C²
Thus;
F_y = kq1*q3/(r1)²
We have;
q1 = 2 × 10^(-6) C
r1 = 5 cm = 0.05 m
q3 = 4 × 10^(-6) C
Thus;
F_y = (9 × 10^(9) × 2 × 10^(-6) × 4 × 10^(-6))/(0.05^(2))
F_y = 28.8 N
Similarly;
F_x = kq2*q3/(r2)²
r2 = 5/(tan 30)
r2 = 8.66 cm = 0.0866 m
F_x = (9 × 10^(9) × -3 × 10^(-6) × 4 × 10^(-6))/(0.0866^(2))
F_x = -14.4 N
Thus, magnitude of resultant force is;
F_net = √((28.8)² + (-14.4)²)
F_net = √1,036.8
F_net = 32.2 N
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How important do you think temperature, radiation, and geologic activity are to the habitability in general?
Answer:
Explanation:
All 3 are critical for habitability
Two engines create SIL values of 75 dB and 85 dB respectively. What dB reading would you expect when both are run simultaneously?
Answer:
Explanation:
In a quiet forest, you can sometimes hear a single leaf fall to the ground. ... greater its pressure amplitude, the more the air is compressed in the sound it creates. ... Graphs of the gauge pressures in two sound waves of different intensities. ... The sound intensity level β in decibels of a sound having an intensity I in watts per .
The Earth wire only carries a current if there is a _____ in the
circuit. What one word completes the sentence?
Answer:
Fault
Explanation:
it only carries a current if there is a fault.
Describe the image with a object distance of 65cm and a focal length of 20cm
Answer:
Imag distance = 28.9 cm
Explanation:
Given that,
Object distance, u = -65 cm
The focal length of the convex les, f = +20 cm
We need to find the image distance. The lens formula gives the relation between focal length, object distance and image distance is given by :
[tex]\dfrac{1}{f}=\dfrac{1}{v}-\dfrac{1}{u}\\\\\dfrac{1}{v}=\dfrac{1}{f}+\dfrac{1}{u}\\\\\dfrac{1}{v}=\dfrac{1}{20}+\dfrac{1}{-65}\\\\v=28.9\ cm[/tex]
So, the image distance is 28.9 cm
What is the meaning of the density of states function?
Ans-The density of states function describes the number of states that are available in a system and is essential for determining the carrier concentrations and energy distributions of carriers within a semiconductor.
Answer:
density equal to mass upon volume
simple definition
Please need help ASAP, ASAP
If force is doubled, acceleration will also be doubled.
Newton’s second law of motion, unlike the first law of motion, pertains to the behaviour of objects for which all existing forces are unbalanced. The second law of motion is more quantitative and is used extensively to calculate what happens in situations involving a force.It states that: Force is equal to the rate of change of momentum. For a constant mass, force equals mass times acceleration.The acceleration of the body is directly proportional to the net force acting on the body and inversely proportional to the mass of the body. This means that as the force acting upon an object is increased, the acceleration of the object is increased.In this given question, force is doubled. We know that force is directly proportional to acceleration. As we increase the force on an object the acceleration increases proportionally. Therefore, if you double the force you double the acceleration.
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The momentum of an object is determined to be 7.2×10-3 kg⋅m/s. Express this quantity as provided or use any equivalent unit. (Note: 1 kg = 1000 g
The mass of the moving item is referred to as momentum. There is magnitude and direction to momentum. The object has a momentum of 7.2 g-m/s.
What is the momentum of an object?Momentum is a vector quantity that is created during motion by an object's mass and velocity. Thus, momentum will be expressed in units of kg-m/s.
Considering that item has motion. Likewise, 1 kilogram equals 1000 g. Therefore, the momentum will transform into units of grams when we enter the value of 1 kg.
Momentum = 7.2 x 10⁻³ 1000g-m/s
Momentum = 7.2 g-m/s.
Thus, we may deduce that the object's momentum, measured in grams per second, is 7.2 g-m/s.
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A 30-g bullet traveling horizontally at 300 m/s strikes a 1.0-kg block which is attached to a horizontal spring with a force constant of 2000 N/m and rests on a frictionless horizontal surface. The spring is on the far side of the block and aligned with the direction of travel of the bullet. The bullet becomes embedded in the block and, as a result of the impact, and the block slides against the spring. How far is the spring compressed before it reverses its direction of travel
Answer:
Explanation:
Using law of conservation of momentum during collision , velocity after collision can be found .
common velocity V = m v / ( m + M )
= .030 x 300 / ( .030 + 1 )
V= 8.7378 m /s
The kinetic energy of the bullet and block will be stored as elastic energy
1/2 ( M + m ) V² = 1/2 k A² where k is force constant and A is maximum compression in the spring .
( M + m ) V² = k A²
1.030 x 8.7378² = 2000 x A²
A² = .0393
A= .1982 m .
= 19.82 cm
The monster wants to make himself known to the family in the cottage in chapters 9-12 of Frankenstein. He decides he can't do that until he masters something. What skill
must he master?
A. How to dress properly
B. Language
C. The rules of etiquette
D. Music
Answer:
c
Explanation:
A wave is traveling at a speed of 12m/s and its wavelength is 3 m calculate the wave frequency
Answer:
f = 4 Hz
Explanation:
Given that,
The speed of a wave, v = 12 m/s
The wavelength of a wave, [tex]\lambda=3\ m[/tex]
We need to find the frequency of the wave. We know that the speed of wave is equal to the product of wavelength and frequency. So,
[tex]v=f\lambda\\\\f=\dfrac{v}{\lambda}\\\\f=\dfrac{12}{3}\\\\f=4\ Hz[/tex]
So, the frequency of the wave is equal to 4 Hz.
True or False question! ⬇⬇ Will give BRAINLIEST!
No matter the medium, light will always bend at the same angle when it passes from one medium to a different medium.
-True
-False
Answer:
the answer can be probably true since light can be refracted
When a body is accelerated under water, some of the surrounding water is also accelerated. This makes the body appear to have a larger mass than it actually has. For a sphere at rest this added mass is equal to the mass of one half of the displaced water. Calculate the force necessary to accelerate a 10 kg, 300-mm-diameter sphere which is at rest under water at the acceleration rate of 10 m/s2 in the horizontal direction. Use H2O
Solution :
Mass of the sphere, m = 10 kg
Diameter, D = 300 mm = 0.3 m
Volume of the sphere is [tex]$V=\frac{4}{3} \pi \left(\frac{0.3}{2}\right)^3$[/tex]
[tex]$V=0.01414 \ m^3$[/tex]
So the volume of displaced water, [tex]$V_w=V = 0.01414 \ m^3$[/tex]
Additional mass, [tex]$m_w = \frac{1}{2} \ \rho_w\times v_w$[/tex]
[tex]$=\frac{1}{2} \times 1000 \times 0.01414$[/tex]
[tex]$=7.0686 \ kg$[/tex]
So the total mass, [tex]$M = m_w+m$[/tex]
= 7.0686 + 10
= 17.0686
Force required, F = Ma
[tex]$F=17.0686 \times 10$[/tex]
= 170.686 N
The force that is necessary to accelerate when the acceleration rate of 10 m/s2 in the horizontal direction should be 170.686 N.
How to calculate the force?Since Mass of the sphere, m = 10 kg
Diameter, D = 300 mm = 0.3 m
Now volume of the sphere is
V = 4/π (diameter/3)^3
V = 4/3π(0.3/2)^3
= 0.01414m^3
Now the additional mass is
= 1/2* 1000 * volume
= 1/2 *1000*0.01414
= 7.0686
So, the total mass is
= Additional mass + force
= 7.0686 + 10
= 17.0686
Now the force is
= 17.0686 * 10
= 170.686
Hence, The force that is necessary to accelerate when the acceleration rate of 10 m/s2 in the horizontal direction should be 170.686 N.
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In velocity time graph of a body, two points are given as A(40,5) and B(20,2). What is the acceleration of the body
Answer:
0.15 m/s²
Explanation:
Acceleration is rate of change of velocity-time function. We can find acceleration by finding the slope. The slope of graph can be found by:
[tex] \displaystyle{a = \dfrac{ \Delta v}{ \Delta t} \: \to \: \dfrac{v_f - v_i}{t_f- t_i}}[/tex]
Substitute in:
[tex] \displaystyle{a = \dfrac{5 - 2}{40 - 20}} \\ \\ \displaystyle{a = \dfrac{3}{20}} \\ \\ \displaystyle{a = 0.15 \: \text{m/s}^{2} }[/tex]
Therefore, the acceleration is 0.15 m/s²
A force F making an angle with the horizontal is acting on an object resting on the table. Which statement is true for the motion of sliding the object on the table? A. It is independent of all the forces acting on the object. B. It depends only on the forces acting along the x-axis. C. It depends only on the forces acting along the y-axis. D. It depends only on the normal force acting on the object. E. It depends only on the frictional force acting on the object.
Answer:
C
Explanation:
it depends only on the forces acting along the y- axis
Answer:
The statement that is true for the motion of sliding the object on the table is : its independent of all forces acting on the object
Explanation:
Sound is not so distinct at day due to............
Explanation:
This is because of a phenomenon called refraction which effects the direction of sound.
A 3.89 x 10-8 F capacitor has a
voltage applied, which creates
1.15 x 10-10 C of charge on the
plates. What voltage was applied?
Answer:
0.00296
Explanation: This answer works for Acellus! :)
The voltage applied to the capacitor is approximately 2.964 x 10⁻³ C/F.
Capacitance is a fundamental electrical property that measures the ability of a system to store an electric charge when a potential difference (voltage) is applied across it. It is denoted by the symbol "C" and is measured in farads (F). A capacitor is a device commonly used to create capacitance in an electrical circuit.
In simple terms, capacitance is a measure of how much electric charge can be stored on an object (usually a capacitor) for a given electric potential difference. It is directly proportional to the amount of charge stored and inversely proportional to the applied voltage. Capacitance plays a crucial role in various electronic circuits and systems, including filtering, energy storage, and timing applications.
To calculate the voltage applied to the capacitor, we can use the formula:
Q = C × V
Where:
Q is the charge on the plates of the capacitor
C is the capacitance
V is the voltage applied to the capacitor
Given:
Capacitance (C) = 3.89 x [tex]10^{(-8)[/tex] F
Charge on the plates (Q) = 1.15 x [tex]10^{(-10)[/tex]C
Rearranging the formula, we can solve for V:
V = Q / C
Substituting the given values:
V = (1.15 x [tex]10^{(-10)[/tex] C) / (3.89 x [tex]10^{(-8)[/tex] F)
Dividing the numerator and denominator by [tex]10^{(-8)[/tex]:
V = (1.15 / 3.89) x [tex]10^{(-10 - (-8))[/tex] C/F
V = (1.15 / 3.89) x [tex]10^{(-2)[/tex] C/F
V = 0.2964 x [tex]10^{(-2)[/tex] C/F
Using scientific notation, we can express the voltage as:
V = 2.964 x [tex]10^{(-3)[/tex]C/F
Therefore, the voltage applied to the capacitor is approximately 2.964 x [tex]10^{(-3)[/tex] C/F.
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The planet Mars has a mass that is 0.11 times Earth’s mass and a radius that is
0.54 times Earth’s radius. a) How much would a 60.0-kg astronaut weigh if
she were to stand on the surface of Mars?
A coil of 27 turns is in the shape of an ellipse having a major axis of 12.0 cm and a minor axis of 9.00 cm. The coil rotates at 57rpm in a region in which the Earth's magnetic field is 74.0 microT. What is the maximum voltage induced in the coil if the axis of rotation of the coil is along its major axis and this axis of rotation is aligned perpendicular to the Earth's magnetic field
Answer:
Explanation:
Emf induced e = nBAω sinωt where n is no of turns , B is magnetic field, A is area of the coil ω is angular frequency of rotation .
maximum emf = nBAω
Given n = 27 , B = 74 x 10⁻⁶ T , A = .12 m x .09 m = 108 x 10⁻⁴ m²
ω = 2π x 57/60 = 5.966 rad/s .
Putting the values
maximum emf = 27 x 74 x 10⁻⁶ T x 108 x 10⁻⁴ m² x 5.966 rad/s .
= 1.29 x 10⁻⁴ V .
A particle which is moving in a straight line with a velocity of 15m/s accelerates uniformly for 3.0s, increasing its velocity to 45m/s. What distance does it travel while accelerating
The distance travel while accelerating is 90m
The initial velocity of the particle is 15m/s and the final velocity is 45m/s, so the change in velocity is 45m/s - 15m/s = 30m/s. The particle accelerates uniformly for 3.0s, so the acceleration is 30m/s / 3.0s >>30/3=10 that is 10m/s^2.
The distance traveled during the acceleration is equal to the average velocity times the time elapsed, so the distance traveled is (15m/s + 45m/s)/2 * 3.0s = (15+45)/2*3= 90m .
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define area and give its SI unit
Answer:
area is the space bounded by certain lines, the SI unit of area is m²
area of rectangle =l×w×h
square=l²
A satellite is a large distance from a planet, and the gravitational force from the planet is the only significant force exerted on the satellite. The satellite begins falling toward the planet, eventually colliding with the surface of the planet. As the satellite falls, what claims is correct about how the force that the planet exerts on the satellite Fps changes and how the force that the satellite exerts on the planet Fsp changes, if at all? What reasoning supports this claim?
Answer:
The answer is "Option A".
Explanation:
Please find the complete question in the attached file.
The strength is equal due to the third law of Newton, and [tex]Fsp = Fps = \frac{Gmsmp}{r^2}\[/tex], therefore the force increases with decreased separation r.
A gas is placed in a 5.0-mL syringe. It exerts 141 mm Hg of pressure on the inside walls of the syringe. The syringe's plunger is pressed, reducing the volume of the syringe to 2.9 mL. The cap was not removed from the syringe, so none of the gas escapes. Assuming the temperature of the gas does not change, use Boyle's law (below) to determine the pressure of the compressed gas. P_1V_1 = P_2V_2
Answer: [tex]243.10\ mm\ \text{of}\ Hg[/tex]
Explanation:
Given
The initial volume of gas [tex]V_1=5\ ml[/tex]
Initial pressure is [tex]P_1=141\ mm\ \text{of}\ Hg[/tex]
Final volume is [tex]V_2=2.9\ ml[/tex]
As it is given [tex]P_1V_1=P_2V_2[/tex]
insert the values
[tex]141\times 5=P_2\cdot 2.9\\P_2=243.10\ mm\ \text{of}\ Hg[/tex]
4. How many excess electrons does a balloon that was rubbed on a child's hair and
now has a charge of 4.0 x 107 Coulombs?
What are the horizontal and vertical components of a cat's displacement when the cat has climbed 5 m
directly up a tree © = 90°? Sin90=1
cos90=0
The horizontal component of the cat's displacement, Dx = 0 m
The vertical component of the cat's displacement, Dy = 12 m
What are the horizontal and vertical components of a vector?The horizontal component of a vector is the value of that vector acting in the horizontal direction.
The horizontal component of a vector is given as Dx.
Dx = Dcosθ
where;
D is the resultant of the vector
θ is the angle of the vector from the horizontal
The horizontal component of the cat's displacement is:
Dx = 12 * 0
Dx = 0 m
The vertical component of a vector is the value of that vector acting in the vertical direction.
The vertical component of a vector is given as Dy.
Dy = Dsinθ
where;
D is the resultant of the vector
θ is the angle of the vector from the horizontal
The vertical component of the cat's displacement is:
Dy = 12 * 1
Dy = 12 m
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True or False? 13. All living things are made of cells 14. All cells have DNA within their nucleus 15. The cell is the basic unit of life in all organisms 16. All cells in a living thing are similar in structure or function 17. Cells must develop from other cells
Answer:
1: True
2: False
3: True
4: False
5: True
a mango fruit drop down from top of its tree which is 5m high. How long does it take to reach the ground
Answer:
What is the mass tho?
You need the mass to answer this question
Answer:
[tex]distance = ut + \frac{1}{2} g {t}^{2} \\since \: the \: fruit \: is \: from \: rest : \: initial \: velocity \: is \: 0 \: (u = 0) \\ 5 = (0 \times t) + ( \frac{1}{2} \times 9.81 \times {t}^{2} ) \\ 5 = 4.905 {t}^{2} \\ t = \sqrt{1.0194} \\ t = 1 \: second[/tex]
A frog jumps as is moves. what is the relation between its maximum height and maximum range
The relation between a frog's maximum height and maximum range is that when the frog jumps at an angle of 45°, its maximum height is half of the horizontal range.
What are the maximum height and maximum range?The maximum height refers to the maximum vertical distance that an object can travel.
The maximum range is the maximum horizontal distance that an object can travel.
The maximum height, H that the projectile reaches when the range, R, is at its greatest is H = Rmax /4.
R = 4Hcot is the relationship between the horizontal range and maximum height.
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Bonjour ,
je n'arrive pas a comprendre cet exercice de physique niveau 5eme.
Ceci concerne le chapitre sur l'éléctricité .
MERCI
Answer:
Bonjour! Mon francais est assez rouillé, mais faire de mon mieux pour traduire la page; voici les principaux points:
1. (Une) Le rôle de la boule de flotteur dans le circuit électrique est qu'il permet à la pompe d'arrêter lorsque l'eau n'est pas le bon niveau en venant en contact avec deux conducteurs et la fermeture du circuit électrique.
2. (Deux) Je veux dire que le matériau qui constitue la balle en isolant, car il maintient l'eau et hors de blocage force active de la machine.
3. (Trois) Le courant électrique continuera aussi longtemps que la pompe est branchée sur une prise électrique, je crois.
Encore une fois, s'il vous plaît pardonnez-moi, je suis mieux à la lecture de français que de l'écrire! J'espère que cela a pu aider. Si vous avez plus de questions, je vais faire de mon mieux pour y répondre!
Salut!
Net work W would accelerate an object from rest to velocity v. What net work is needed to accelerate the object from rest to velocity 2v?
The net work that is needed to accelerate a 2.0 kg mass from rest to velocity 2v is 4.0 m/s.
What is net work done?When a force acts on a body at rest or at uniform motion in a straight line, then it starts to accelerate.
Given that, the velocity is 5.0
Time is 2 sec
The given mass is 2.0 kg
First, we calculate the acceleration
Acceleration = v / t = 10 / 5.0 = 2
From Newton's second law, we know that
force = mass x acceleration
F = ma
F = 2.0 x 2 = 4.0 m/s
Therefore, the net work that is needed to accelerate a 2.0 kg mass from rest to velocity 2v is 4.0 m/s.
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The question is incomplete. Your most probably complete question is given below:
What net force is needed to accelerate a 2.0 kg mass from rest to a velocity of 10 m/s in 5.0 s?