A middle-A tuning fork vibrates with a frequency f of 440 hertz (cycles per second). You strike a middle-A tuning fork with a force that produces a maximum pressure of 5 pascals. Write a sine model that gives the pressure P as a function of the time t (in seconds).A middle-A tuning fork vibrates with a frequency f of 440 hertz (cycles per second). You strike a middle-A tuning fork with a force that produces a maximum pressure of 5 pascals. Write a sine model that gives the pressure P as a function of the time t (in seconds).
Answer:
P = 5sin(880πt)
Explanation:
We write the pressure in the form P = Asin2πft where A = amplitude of pressure, f = frequency of vibration and t = time.
Now, striking the middle-A tuning fork with a force that produces a maximum pressure of 5 pascals implies A = 5 Pa.
Also, the frequency of vibration is 440 hertz. So, f = 440Hz
Thus, P = Asin2πft
P = 5sin2π(440)t
P = 5sin(880πt)
In what ways do people use natural resources? What problems does use of those resources cause?
Answer:
The Challenges of Using Natural Resources
Extracting, processing and using natural resources can cause environmental problems such as: air, land and water pollution; disruption or destruction of ecosystems; and a decrease in biodiversity.
A measurement of a change
in distance over time
Explanation:
Speed is the rate of change of distance with time.2 pts
The energy and penetrating power of nuclear radiation in decreasing order is:
Alpha > beta > gamma
Beta > alpha > gamma
Gamma > beta > alpha
Answer:
I think the answer 1
Explanation:
im probably wrong too i dont know
A projectile is launched from the ground with an initial horizontal velocity of 6.0m/s [right] and an initial vertical velocity of 5.0/s [up]. At what angle from vertical is it launched?
Answer:
θ = 39.8°
Explanation:
Her, we will use the trigonometric ratio of the tangent to find the launch angle of the projectile from the vertical:
[tex]tan\ \theta = \frac{v_y}{v_x}[/tex]
where,
θ = launch angle from the vertical = ?
vy = vertical component of velocity = 5 m/s
vx = horizontal component of velocity = 6 m/s
Therefore,
[tex]tan\ \theta = \frac{5\ m/s}{6\ m/s}\\\\\theta = tan^{-1}(0.8333)[/tex]
θ = 39.8°
Two boxes are connected by a string. The first box has a mass of 4.2 kg and the
second 2.8 kg. A string attached to the first box pulls horizontally with a force of
7.5 N. Calculate the tension in the second string if the force of friction on the first
box is 2.0 N and the force of friction on the second is 1.6 N.
Answer:
........
Explanation:
Calculate the resistance of a resistor that has a voltage drop of 25 V and a current flow of .5 A.
A. 25 Ohms
B. 50 Ohms
C. 12.5 Ohms
D. 0.02 Ohms
Answer:
V=IR
25. =0.5 ×RESISTANCE
RESISTANCE=25/0.5
=50 ohms
answer is option B
Two boulders have masses of 7.5 x 106 kg and 9.2 x 105 kg. After rolling apart, their centers are separated by a distance of 124 m. Find the gravitational attraction FG between them.
Answer:
0.0299 N
Explanation:
Applying,
F = Gmm'/r²................... Equation 1
Where F = gravitational force between the boulders, m = mass of the first boulder, m' = mass of the second boulder, r = distance between the boulders, G = Universal constant.
From the question,
Given: m = 7.5×10⁶ kg, m' = 9.2×10⁵ kg, r = 124 m
Constant: G = 6.67×10⁻¹¹ Nm²/kg²
Substitute these values into equation 1
F = (6.67×10⁻¹¹× 7.5×10⁶ × 9.2×10⁵ )/124²
F = (460.23)/15376
F = 0.0299 N
Answer:
0.3 N
Explanation:
Plug in all your variables:
6.67 ⋅ 10^-11 (7.5 ⋅ 10^6) (9.2 ⋅ 10^5)
--------------------------------
(124)^2
Once you plugin, You start to multiple solving to solve your problem:
460.23
---------- = 0.02993171 N
15376
Now Simplify:
Answer = 0.03 N
The speed of light in a piece of plastic is 1.87 × 10^8 meters per second. What is the absolute index of refraction of this plastic?
options:
1.0
1.6
0.67
1.33
Answer:
n = 1.6
Explanation:
The formula for the calculation of the absolute index of refraction is given as follows:
[tex]n = \frac{c}{v}[/tex]
where,
n = index of refraction
c = speed of light in vacuum = 3 x 10⁸ m/s
v = speed of light in the piece of plastic = 1.87 x 10⁸ m/s
Therefore,
[tex]n = \frac{3\ x\ 10^8\ m/s}{1.87\ x\ 10^8\ m/s}[/tex]
n = 1.6
A woman on a 10-speed bicycle travels at 9m/s relative to the ground as she passes a little boy on a tricycle going in the opposite direction. If the boy is travelling at 1m/s relative to the ground , how fast does the boy appear to be moving relative to the woman
Answer:
23
Explanation:
Which of the following is a disadvantage of a parallel circuit? A. Parallel circuits are a complex circuit and use more wire. B. If one bulb goes out the others go out too. C. Each of the bulbs burn at a different level of brightness.
a simple pendulum is hollow from within and its time period is T. how is the time period of pendulum affected when:
a) ¼ of Bob is filled with mercury
b)¾ of Bob is filled with Mercury
c) the bob is completely filled with Mercury
The period of a pendulum is independent of the mass of the bob so whether it's empty or filled with something, the period remains the same.
[tex]period = 2\pi \sqrt{ \frac{length}{g} } [/tex]
What type of electromagnetic wave has a frequency of around 1012 Hz?
Gravity is the force that objects exert on each other because of their masses. The strength of the gravitational force between two objects
depends on two factors, mass and distance. How is gravity related to mass and distance? Choose ALL the statements that apply.
If one of the masses is doubled, the force of gravity between the objects is doubled.
As distance between the objects increases, the force of gravity decreases.
As distance between the objects increases, the force of gravity increases.
The more mass two objects have, the less the force of gravity the masses exert on each other
Greater mass results in greater force.
Explanation:
Newton's law of universal gravitation states that the force of gravity affects everything with mass in the universe. Newton's law also states that the strength of gravity between any two objects depends on the masses of the objects and the distance between them
A hunter stood at about 60 m away from a tree. He used the bow to release the arrow in order to shoot a coconut held by a monkey in the tree. The coconut was at a height of 25 m from the ground. The hunter aimed directly at the coconut and the arrow left the bow at 45 m/s making an angle of 20 degree to the horizontal. At the moment thebhunter released the arrow, the monkey dropped the coconut such that it falls vertically from rest. Neglect air resistance and the arrow's size. What is the time taken for the arrow to hit the coconut?
Answer:
[tex]v = u + at (upward)\\ 0 = 45 \sin(20) - 9.81t \\ t = 1.56s[/tex]
Two asteroids are located a certain distance away from each other. They have the same mass . The gravitational force of attraction is f . If the mass of one of the asteroids is doubled, how will the gravitational force be affected
Answer:
F' = 2F
Explanation:
The gravitational force of attraction between asteroids is given by Newton's Law of Gravitation:
[tex]F = \frac{Gm_1m_2}{r^2}[/tex]
where,
F = Force
G = Universal Gravitational Constant
m₁ = m₂ = m = mass of each asteroid
r = distance between asteroids
Therefore,
[tex]F = \frac{Gm^2}{r^2}[/tex] --------------------- eq(1)
Now, if we double the mass of one asteroid:
[tex]F' = \frac{G(2m^2)}{r^2} \\\\F' = 2\frac{Gm^2}{r^2}[/tex]
using equation (1):
F' = 2F
temporary magnets are made from soft iron true or false
Answer:
temporary iron r made up of soft iron its " true.."
stay safe healthy and happy.5- A 2.0 kg block of aluminum (specific heat = 897 J/kg·K) is at an initial temperature of 300 K. What will its final temperature be if (3.35 × 105 J )of thermal energy is transferred to the block?
Answer:
T = 486.6 K
Explanation:
The final temperature of the block can be found using the following formula:
[tex]Q = mC\Delta T\\[/tex]
where,
Q = Thermal Energy Transferred = 3.35 x 10⁵ J
m = mass of aluminum block = 2 kg
C = Specific Heat = 897 J/kg.K
ΔT = Change in Temperature = T - 300 K
T = Final Temperature of the Block = ?
Therefore,
[tex]3.35\ x\ 10^5\ J = (2\ kg)(897\ J/kg.K)(T-300\ K)\\\\5.38\ x\ 10^5\ J + 3.35\ x\ 10^5\ J = (1794 J/K)(T)\\\\T = \frac{8.73\ x\ 10^5\ J}{1794\ J/K}[/tex]
T = 486.6 K
PLS HELP I WILL MARK YOU AS A BRAINLEIST
Take water in a test tube and add a few drops of blue litmus to it. With the help of a
straw blow air into the solution. It turns red. Explain the reason of colour change.
Answer:
A Chemical Reaction towards Oxygen, Water, and the Chemical Color.
Argon, atomic number 18, has an atomic weight of 39.9. Potassium, atomic number 19, has an atomic weight of 39.1. Which of these statements best explains why potassium has a lower atomic weight than argon?
A.
Potassium is reactive, while argon is typically inert.
B.
Potassium atoms lose electrons more easily than argon atoms.
C.
Potassium is typically a solid, while argon is typically a gas.
D.
Potassium atoms usually have fewer neutrons than argon atoms.
Answer: D
Explanation:
Atomic weight is measured by adding the number of protons and neutrons in an atom's nucleus. Argon's atomic number is 18 while potassium's is 19. This means that Argon will always have 18 protons while potassium will always have 19 protons.
To make the numbers easier to work with, round each atomic weight. We'll say the atomic weight of potassium is 39 and the atomic weight of argon is 40. To see how many neutrons each one has, I can set up a simple equation for each using the following equation:
Atomic weight = protons + neutrons
Potassium:
39 = 19 + N --> N = 20
Argon:
40 = 18 + N --> N = 22
An atom is defined by the number of protons it has, but the number of neutrons can vary. We call these isotopes, or atoms with the same number of protons but a different number of neutrons. As the math shows, argon typically has more neutrons per atom than potassium does.
17. ____ Objects with more mass have
a. more gravity b. less gravity
c. more acceleration
d. less inerties
a. more gravity
This is the answer.
What is the mass of a baseball that has a kinetic energy of 105 J and is traveling at 10 m/s?
Answer:
[tex]\boxed {\boxed {\sf 2.1 \ kilograms}}[/tex]
Explanation:
Kinetic energy is the energy an object possesses due to motion. The formula 1/2 the product of mass and the squared velocity.
[tex]E_k=\frac{1}{2} mv^2[/tex]
We know the baseball's kinetic energy is 105 Joules. It is also traveling at a velocity of 10 meters per second. `
First, convert the units of Joules to make unit cancellation easier later in the problem. 1 Joule (J) is equal to 1 kilogram square meter per square second (kg*m²/s²). The baseball's kinetic energy of 105 J is equal to 105 kg*m²/s².
Now we know 2 values:
[tex]E_k= 105 \ kg*m^2/s^2[/tex][tex]v= 10 \ m/s[/tex]Substitute these values into the formula.
[tex]105 \ kg*m^2/s^2= \frac{1}{2} m (10 \ m/s)^2[/tex]
Now we need to solve for m, the mass. Solve the exponent.
(10 m/s)²= 10 m/s * 10 m/s = 100 m²/s²[tex]105 \ kg *m^2/s^2 = \frac{1}{2} m (100 \ m^2/s^2)[/tex]
Multiply on the right side.
[tex]105 \ kg *m^2/s^2 = m (\frac{1}{2} * 100 \ m^2/s^2)[/tex]
[tex]105 \ kg *m^2/s^2 = m (50 \ m^2/s^2)[/tex]
The variable, m, is being multiplied by 50 square meters per square second. The opposite of multiplication is division, so we divide both sides by that value.
[tex]\frac {105 \ kg *m^2/s^2 }{50 \ m^2/s^2}= \frac{ m (50 \ m^2/s^2)}{50 \ m^2/s^2}[/tex]
[tex]\frac {105 \ kg *m^2/s^2 }{50 \ m^2/s^2}= m[/tex]
The units of square meter per square second will cancel out.
[tex]\frac {105 }{50} \ kg= m[/tex]
[tex]2.1 \ kg=m[/tex]
The mass of the baseball is 2.1 kilograms.
If the oil film becomes dark when the path length difference is less than one fourth the wavelength, what is the thickest the oil film can be and appear dark at all visible wavelengths
His question is incomplete, the complete question is;
A film oil on water will appear dark when it is very thin, because the path length difference becomes small compared with the wavelength of light and there is a phase shift at the top surface.
If the oil film becomes dark when the path length difference is less than one fourth the wavelength, what is the thickest the oil film can be and appear dark at all visible wavelengths. Oil has an index of fraction of 1.40.
In this question, assume the wavelength visible light is in the range of 400 nm to 700 nm.
Answer:
the minimum thickness of the oil for destructive interference to occur is approximately 35.714 nm
Explanation:
Given the data in the question;
Path difference for destructive interference between the two reflected waves ( top and bottom );
δ = 2nt ---------- let this be equation 1
Also, for one path difference of reflected waves, one fourth of the wavelength of reflected waves;
δ = λ/4 ---------- let this be equation 2
from equation 1 and 2;
δ = δ
2nt = λ/4
we find t;
8nt = λ
t = λ / 8n
given that; λ[tex]_{minimum[/tex] = 400 nm and n = 1.40
we substitute
t = 400nm / 8(1.40)
t = 400nm / 11.2
t = 35.7142857 ≈ 35.714 nm
Therefore, the minimum thickness of the oil for destructive interference to occur is approximately 35.714 nm
True or False? The most reactive metals are found in Period 1 of the Periodic Table.
Hydrogen is a very reactive gas, and the alkali metals are even more reactive. In fact, they are the most reactive metals and, along with the elements in group 17, are the most reactive of all elements.
Answer:
Explanation:
true
A ball rolled 12.0 m [E] in 10.0 s, hit an obstacle, and rolled straight back. After the collision, the ball rolled 8.00 m [W] in 6.00 s. What was the average velocity of the ball?
Answer:
the average velocity of the ball is 5 m/s.
Explanation:
Given;
initial position of the ball, x₁ = 12 m East
final position of the ball, x₂ = 8 m West
initial time of motion, t₁ = 10.0 s
final time of motion, t₂ = 6.0 s
The average velocity is calculated as follows;
[tex]v = \frac{\Delta x}{\Delta t} = \frac{x_1 \ - \ x_2}{t_1 \ - \ t_2}[/tex]
let the Eastward direction be positive
Let the westward direction be negative
[tex]\frac{x_1 \ - \ x_2}{t_1 \ - \ t_2} = \frac{12 \ - \ (-8)}{10 -6}= \frac{20}{4} = 5 \ m/s[/tex]
Therefore, the average velocity of the ball is 5 m/s.
Which property determines and Adams ability to attract electrons shared in a chemical bond?
Answer:
Electronegativity
Explanation:
Answer:
The property that determines an atom;s ability to attract electrons shared in a chemical bond is electronegativity.
Explanation:
Hope you have a great day :)
A capacitor is made by taking two sheets of aluminum foil, each 0.022 mm thick and placing between them a sheet of paper which comes from a ream of 500 sheets, the ream being 5.5 cm thick with sheets measuring 216 mm by 279 mm. What is the capacitance of the capacitor made this way if the dielectric constant of the paper is 3.7?
THE ANSWER SHOULD BE (18nF)
The capacitance of the capacitor if the dielectric constant of the paper is 3.7 : 18 nF
Given data :
Thickness of aluminium capacitor = 0.022 mm
Number of sheets = 500
Thickness of ream = 5.5 cm = 0.055 m
measurement of sheets = 0.216 m by 0.279 m
dielectric constant ( k ) = 3.7
Determine the capacitance of the capacitorwe will apply the capacitance formula below
C = Kε₀A / d
= 3.7 * 8.85*10⁻¹² * 0.216 *0.279 / ( 0.055 / 500 )
= 1.8 * 10⁻⁸F ≈ 18nF
Hence we can conclude that The capacitance of the capacitor if the dielectric constant of the paper is 3.7 : 18 nF
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How can you describe the path of the projectile motion?
Projectile motion is a motion where an object moves in a bilaterally symmetrical path
What is a Projectile motion ?Projectile motion is a form of motion experienced by an object or particle that is projected near Earth's surface and moves along a curved path under the action of gravity only.
If an object is thrown up by making a certain angle with respect to ground ( let say theta) up in the sky , it will reach a maximum height after which it follows a symmetrical path as it comes down due to the action of gravity . The path followed from the beginning till end will be a parabolic in this case .
It is a motion where an object moves in a bilaterally symmetrical path .
Projectile motion only occurs when there is only one force applied at the beginning of the trajectory, after been released object comes in the action of gravity .
General form of equation of trajectory of Projectile motion can be written as :
y = x tan(theta ) - g(x^2)/(2(u^2)cos^2(theta))
where y = horizontal component
x = vertical component
g = gravity
u = initial velocity
theta = angle of inclination of the initial velocity from horizontal axis
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resistance question for physics!!!
Answer:
22
Explanation:
all the resistance numbers added together 2.0+6.0+10.0+4.0
resistance formula : v bettary = v1 + v2 + v3 ....
A bmw 23 goes from 0 to 60 miles per hour in 5 seconds . It is also used in the second law of motion
Answer:
Acceleration = 5.3645 m/s²
Explanation:
Given the following data;
Initial velocity, u = 0mph
Final velocity, v = 60 mph
Time, t = 5 seconds
To find the acceleration (also used in the second law of motion), we would use the following formula;
A = (v - u)/t
Conversion:
Miles per hour to meters per seconds;
0 mph = 0 mps
1 mph = 0.44704 mps
60 mph = 60 * 0.44704 = 26.8224 mps
Next, we find the acceleration;
Acceleration = (26.8224 - 0)/5
Acceleration = 26.8224/5
Acceleration = 5.3645 m/s²