Given: The position-time graph is given in the question.
To find the average velocity of the object.
Explanation:
Let us consider two points on the graph.
Let one point be (10, 1) and the other point be (20,2).
The average velocity will be
\(\begin{gathered} \text{v}_{av}=\frac{change\text{ in position}}{change\text{ in time}} \\ =\frac{2-1}{20-10} \\ =\text{ 0.1 m/s} \end{gathered}\)Final Answer: The average velocity is 0.1 m/s.
The figure showed a thin rod of length L and charge Q.
Find an expression for the electric potential a distance z away from the center of rod on the line that bisects the rod.
Give your answer in terms of L, Q, z and appropriate constants.
Expression for the electric potential a distance z away from the center of rod on the line that bisects the rod is \(V = k * Q / L * \int\limits {cos\theta / z \sqrt{(1 + L^2/4z^2 * tan^2\theta)} d\theta} \, dx\).
The electric potential at a distance z from a point charge Q is given by:
V = k * Q / r
here
k is Coulomb constant and
r is distance from the point charge to the point.
For a thin rod of length L and charge Q, we can model it as a line of charge with linear charge density λ = Q/L. The electric potential at a distance z away from the center of the rod on the line that bisects the rod can be found by breaking the rod into infinitesimal charge elements and integrating the electric potential due to each element over the length of the rod.
Let's consider a small element of length dx located at a distance x from the center of the rod:-
\(dQ = \lambda * dx = Q/L * dx\)
The displacement element to pt.:-
\(r = \sqrt{(x^2 + z^2)}\)
The electric potential due to this element is:
\(dV = k * dQ / r = k * Q/L * dx / \sqrt{(x^2 + z^2)}\)
Integrating this expression over the length of the rod, we get the total electric potential at a distance z away from the center of the rod on the line that bisects the rod:
\(V = \int\limits^(^-^L^/^2^)_L_/_2 {k * Q/L * dx / √\sqrt{(x^2 + z^2)}} \, dx\)
To evaluate this integral,
\(u = x^2 + z^2, du/dx = 2x dx\),
This can be further simplified:-
\(u = z^2 * tan^2\theta + L^2/4 * sec^2\theta\)
\(V = k * Q / L * \int\limits {cos\theta / z \sqrt{(1 + L^2/4z^2 * tan^2\theta)} d\theta} \, dx\)
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The diagram below shows snapshots of an oscillator at different times . What is the frequency of the oscillation ?
In the diagram tha shows snapshots of an oscillator at different times, the frequency of the oscillation is 0.555 Hz.
How to calculate the periodThe period of the oscillation is the time taken for the for the object to return to its original position. (ie. Displacement = 0). From the above snapshot,
Period of oscillation = 1.80s.
From here, finding the frequency is simple as, Frequency = 1/Period. Hence,
Frequency = 1/1.80
= 0.555 Hz (3 sf).
The frequency of the oscillation is indeed 0.555 Hz. The frequency represents the number of oscillations or cycles per second. In this case, the object completes approximately 0.555 oscillations per second.
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Find the component form of the vector that represents the velocity of a plane descending at a speed of 100mph at an angle of 30° below the horizontal, as shown
below.
30
The horizontal and vertical component of the velocity of the plane is 50(√3) mph and 50mph.
Velocity is defined as the ratio of displacement and time and the unit of velocity is m/s. The velocity is the vector quantity. The horizontal and vertical component is given as:
Horizontal component (x) = V cosθ
Vertical component(y) = V sinθ
From the given:
velocity fo the plane = 100mph
angle (θ) = 30°
The horizontal component (x) = V cosθ = 100×cos(30°) = 100 × √3/2
= 50 √3
The vertical component (y) = V sin(θ) = 100×sin(30°) = 100×1/2
= 50
Thus, the horizontal and vertical components of the plane are (50√3,50) mph.
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What do you need to know to establish motion
Answer:
An object is in motion if it changes position relative to a reference point.
Explanation:
A block of wood is 4 cm wide, 5 cm long, and 10 cm high. It weighs 100 grams. Calculate its volume. Calculate its density. Will the block sink or float in water? Explain. (Remember, the density of water is 1.0 g/cm3.)
Answer:
\(V=200cm^3\\\\\rho =0.500g/cm^3\)
It will float.
Explanation:
Hello.
In this case, given the width, length and height, we can compute the volume as follows:
\(V=W*L*H\\\\V=4cm*5cm*10cm\\\\V=200cm^3\)
Moreover, since the density is computed via the division of the mass by the volume:
\(\rho =\frac{m}{V}\)
We obtain:
\(\rho =\frac{100g}{200cm^3} \\\\\rho =0.500g/cm^3\)
In such a way, since the solid has a lower density than the water, we infer it will float.
Best regards.
What is the value of the charge that experiences a force of 2.4×10^-3N in an electric field of 6.8×10^-5N/C
Hi there!
\(\large\boxed{\approx 35.29 C}\)
Use the following formula:
E = F / C, where:
E = electric field (N/C)
F = force (N)
C = Charge (C)
Thus:
6.8 × 10⁻⁵ = 2.4 × 10⁻³ / C
Isolate for C:
C = 2.4 × 10⁻³ / 6.8 × 10⁻⁵
Solve:
≈ 35.29 C
Which is a way to improve self esteem?
O being around negative people
O positive talk
O being hard on ones self
o being a perfectionist
Answer: Positive Talk
Explanation:
What is the best description of realistic fiction o texts that are written in first person about a period in an author's life?
An autobiography, like a memoir, is the writer's recounting of his or her life and is written in the first person, making the writer the protagonist of the narrative.
What phrase best sums up a realistic piece of fiction?Contemporary/Realistic: In order to accurately portray our environment and society, realistic fiction develops fictional people and circumstances. Growing up and dealing with social and personal issues are the main themes. Characters in this genre are depicted as they learn about both themselves and others.
Which of these two realistic fiction subgenres predominates?Historical and contemporary fiction make up realistic fiction's two subgenres. Unlike current fiction, which takes place in the present or recently past, historical fiction takes place at a period that is far enough back in history to be deemed history.
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Answer: the answer is b
Explanation:
edge
A marine weather station reports waves along the shore that are 2 meters high, 8 meters long, and reach the station 8 seconds apart. Determine the speed of these waves.
One full weather station reports wave passing a spot every second is equivalent to a frequency of 1 Hz. The frequency is 48=12=0.5 Hz if 4 waves pass a spot in 8 seconds.
What is the frequency of a 30-second ocean wave that hits the shore?The number of cycles that make up a time unit is the frequency. The frequency of a wave with a 30-second period is therefore 1 30 = 0.033 cycles per second, or 0.033 Hertz (Hz).
Which of the following statements most accurately sums up how a wave crosses a border and enters a new medium?A wave's speed and wavelength vary as it crosses a border and enters a new medium, but its frequency doesn't.
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Which is a benefit of using synthetic polymers, such as nylon?
Synthetic polymers are lightweight.
O Synthetic polymers are produced in small
quantities.
Synthetic polymers are biodegradable.
Synthetic polymers are inexpensive to recycle.
Answer: Synthetic polymers are lightweight.
Explanation:
A benefit of using synthetic polymers is the fact that synthetic polymers are lightweight.
A polymer is a molecule composed of many repeating subunits.
Synthetic polymers are artificial polymers created by humans.
Most of the synthetic polymers are not biodegradable (unlike natural fibers such as cotton).
Synthetic polymers are classified according to their use into plastics, elastomers and synthetic fibers.
The advantages of synthetic polymers include: hard to break, being lightweight, and they last for a long time.
In conclusion, a benefit of using synthetic polymers is the fact that synthetic polymers are lightweight.
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Please help (science)
Plate Boundaries on Earth
Plate boundaries represent parts of the Earth where plates come in contact with one another. There are different ways in which these plates can move and interact. In this assignment, you will identify each type of plate movement and create an illustration to represent this.
Open the worksheet to get started. Use the criteria below to see what you should include in this assignment.
Row 1: Plate Boundary (Movement)
Write the type of plate boundary: convergent, divergent, transform.
Write the correct description for each in parentheses below the name: sliding, separating, or colliding.
Row 2: Diagram
Draw a diagram or illustration of the plate movement at the plate boundary. Include arrows to show whether the plates are colliding, separating, or dividing.
Row 3: Lithosphere (Created or Destroyed)
Identify whether the Earth's crust is created or destroyed at this type of plate boundary.
Row 4: Geologic Process
Give at least one example of the type of process or geological event that occurs on the Earth when the plates move in this manner.
Row 5: Real World Example
Give at least one example of a place on the planet where this type of plate movement is demonstrated along the plate boundary. Include both the location and name of the example.
Row 6: References
This assignment requires you to conduct formal research. When researching, make sure to use only valid and reliable resources; Wikipedia, blogs, and answer sites are not valid or reliable. References must be cited in APA format. Please provide your references in APA format in this column.
Here is a draft of the worksheet for the three main plate boundary types:
Plate Boundary (Movement) Convergent (Colliding)
Diagram
||
||
||
Lithosphere (Created or Destroyed)
Created
Geologic Process Mountain building
Real World Example
Himalayas (Along India-Eurasia plate boundary in Asia)
References
APA reference for research
Plate Boundary (Movement) Divergent (Separating)
Diagram
|||||
Lithosphere (Created or Destroyed)
Destroyed
Geologic Process
Volcanic eruptions and rift valleys
Real World Example
Mid-Atlantic Ridge (Between North America and Europe plates)
References
APA reference
Plate Boundary (Movement) Transform (Sliding)
Diagram
|||||||||
Lithosphere (Created or Destroyed)
Neither
Geologic Process
Earthquakes
Real World Example
San Andreas Fault (California, USA along Pacific-North America plates)
References
APA reference
Question is attached in screenshot.
The time taken for the perfume to diffuse in the still air is determined as 112,500 s.
Time for the perfume to diffuse in the still air
The time taken for the perfume to diffuse in the still air is calculated as follows;
t = x²/2D
where;
D is coefficient of diffusionx is the mean distancet is timet = (1.5²)/(2 x 10⁻⁵)
t = 112,500 s
Thus, the time taken for the perfume to diffuse in the still air is determined as 112,500 s.
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which term describes the process of transferring charge without the direct contact
energy of fossil fuel is also derived from solar energy why
Explanation:
All the energy in oil, gas, and coal originally came from the sun captured through photosynthesis. In the same way that we burn wood to release energy that trees capture from the sun, we burn fossil fuels to release the energy that ancient plants captured from the sun.
What is the moment of inertia of the wheel?
The moment of inertia of the wheel is calculated as 0.0125 kg m².
What is moment of inertia?Moment of inertia is a measure of any object's resistance to the rotational motion, similar to how mass is a measure of object's resistance to linear motion. Moment of inertia depends on the distribution of mass in the object and axis of rotation.
Moment of inertia of a solid cylinder rotating about its central axis is: I = (1/2) * M * R²
M is mass of the wheel and R is its radius.
So I = (1/2) * 1.41 * (0.130 )²
I = 0.0125 kg m²
Therefore, moment of inertia of the wheel is 0.0125 kg m².
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The table provided shows the masses and volumes of four liquids. A student has a mystery liquid with a density of 3 g/mL. Which liquid does the student have?
Liquid 1
Liquid 2
Liquid 3
Liquid 4
Answer: Liquid 2, if it's 3 g/mL and liquid 2 has 6gs and 2 mLs than it's 3g/mL
If you put a total of 8.05×106×106 electrons on an intially electrically neutral wire of length 1.03 m, what is the magnitude of the electric field a perpendicular distance of 0.201 m away from the center of the wire?
Answer:
The magnitude of the electric field is 0.1108 N/C
Explanation:
Given;
number of electrons, e = 8.05 x 10⁶
length of the wire, L = 1.03 m
distance of the field from the center of the wire, r = 0.201 m
Charge of the electron;
Q = (1.602 x 10⁻¹⁹ C/e) x (8.05 x 10⁶ e)
Q = 1.2896 x 10⁻¹² C
Linear charge density;
λ = Q / L
λ = (1.2896 x 10⁻¹² C) / (1.03 m)
λ = 1.252 x 10⁻¹² C/m
The magnitude of electric field at r = 0.201 m;
\(E = (\frac{1}{4 \pi \epsilon_o} )\frac{ 2 \lambda}{r} \\\\E = k \frac{ 2 \lambda}{r}\\\\E = (8.89*10^9)*\frac{2*1.252*10^{-12}}{0.201} \\\\E = 0.1108 \ N/C\)
Therefore, the magnitude of the electric field is 0.1108 N/C
A major league pitcher can throw a baseball an excess of
(Figure 1) is the potential-energy diagram for a 500 g particle that is released from rest at A . What is the particle's speed at B ?
Answer:
Explanation:
according to the graph at B the potential energy of the particle is 2J
therefore we can use the kinetic energy equation to calculate the particle's velocity or speed.
\(E_{k} =1/2mv^{2}\)
2J= 1/2*1/2kg*v^2
8=v^2
v= 2√2 ms-1
Select the correct answer. When a substance changes from one phase to another, which of the following events occurs? A. The substance loses or gains heat. B. The average kinetic energy of the substance changes. C. The temperature of the substance changes. D. The molecular motion of the substance changes.
When a substance changes from one phase to another, which of the following events occurs (A) The substances loses or gains heat.
A Phase change is reversible physical change that happens when a substance changes from one state of matter to the another state of matter. when substances changes from solid , liquid or gas state to different state called as phase change. Temperature can change the substance from one phase to another. for example . we can freeze the water by putting it to freezer to change it into ice and when we put it on heat it changes to liquid.
Thus, When a substance changes from one phase to another, which of the following events occurs (A) The substances loses or gains heat.
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Answer:
The substance loses or gains heat.
Explanation:
Substances can be made to change phases by fluctuating the temperature, the pressure, or both
HELP PLEASE THIS IS URGENT!!!
The neutron number of an atom X, which undergoes alpha, and beta decay reduces the neutron number by 6.
Alpha decay is the nuclear process in which the parent nucleus emits an alpha or helium particle to form a daughter nucleus. When a particle emits an alpha nucleus, the nucleus loses its two protons and two neutrons. Beta decay is the nuclear process in which the parent nucleus undergoes the emission of electrons to produce a daughter nucleus.
Alpha decay decreases the atomic mass number decreases by 4 and the atomic number decreases by 2. In beta decay, the neutron is converted into a proton and the atomic number decreases by one. The neutron number is affected by alpha decay.
From the given,
X atom undergoes alpha decay. X -----> ₐ₋₂Xᵇ⁻⁴ + He₂⁴. The neutron number decreases by two. ₐ₋₂Xᵇ⁻⁴ -----> ₐ₋₂₋₂Xᵇ⁻⁴⁻⁴ + He₂⁴. The neutron number decreases by two.
When the X atom undergoes beta decay, ₐ₋₄Xᵇ⁻⁸---> ₐ₋₅Xᵇ⁻⁸ + ₋₁e⁰. The neutron number does not get affected. When the atom again undergoes alpha decay, ₐ₋₅Xᵇ⁻⁸ -----> ₐ₋₇Xᵇ⁻¹². Thus, the neutron number decreases by 6 when the atom undergoes three alpha decay.
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what is Ethyl butyrate used for
Answer:
Ethyl butyrate is used as an artificial flavoring resembling orange juice or pineapple in alcoholic beverages, as an ingredient of fragrance, and as a solvent and plasticizer for cellulose. It is also used in the production of polyvinyl butyral (PVB).
Explanation:
PLSSSS ANSWER RIGHT AWAY PLEASEEEEE AND THANK YOU.
Which of the following describes the forms of energy on the electromagnetic spectrum?
a ) All forms of energy on the electromagnetic spectrum are visible to the human eye.
b) The different forms of energy have different wavelengths and frequencies.
c) All forms of energy travels at the same speed through different materials.
d) The different forms of energy are categorized from lowest amplitude to highest amplitude.
The correct answer is b) The different forms of energy on the electromagnetic spectrum have different wavelengths and frequencies.
The electromagnetic spectrum consists of different types of energy, including radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays. These types of energy differ in their wavelength and frequency. Radio waves have the longest wavelength and lowest frequency, while gamma rays have the shortest wavelength and highest frequency.
It's important to note that not all forms of energy on the electromagnetic spectrum are visible to the human eye. Visible light is only a small part of the spectrum, and our eyes are only sensitive to a narrow range of wavelengths within the visible portion.
Furthermore, different types of energy on the electromagnetic spectrum travel at the same speed through a vacuum, but they may travel at different speeds through different materials. Finally, the different types of energy on the electromagnetic spectrum are not categorized by amplitude, but rather by their wavelength and frequency.
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What pressure is needed for a 4’ cylinder to produce 2000 lbf?
We are given that a 4 inches cylinder is required to produce 2000 lbf of force. To determine the pressure we will use the following relationship:
\(P=\frac{F}{A}\)Where:
\(\begin{gathered} P=\text{ Pressure} \\ F=\text{ Force} \\ A=\text{ Area} \end{gathered}\)To determine the area we will use the formula for the area of a circle:
\(A=\frac{\pi D^2}{4}\)Where:
\(D=\text{ diameter}\)Replacing the diameter we get:
\(A=\frac{\pi(4in)^2}{4}\)Solving the operations we get:
\(A=12.6in^2\)Now we replace it in the formula for the pressure:
\(P=\frac{2000lbf}{12.6in^2}\)Solving the operation:
\(P=159.15\frac{lbf}{in^2}=159.15\text{ ps}i\)Therefore, the pressure needed is 159.15 psi.
A rocket is launched from a height of 3 m with an initial velocity of 15 m/s What is the maximum height of the rocket? When will this occur?
If no extra acceleration is added to the rocket, then its velocity at time t is
v = 15 m/s - g t
where g = 9.80 m/s² is the magnitude of the acceleration due to gravity.
Also, recall that
v² - u² = 2 a ∆x
where u is initial speed, v is final speed, a is acceleration, and ∆x is net displacement.
At the rocket's maximum height ∆x, the velocity is 0. So, the maximum height is
0² - (15 m/s)² = 2 (-g) ∆x
∆x = (15 m/s)² / (2 * (9.80 m/s²)) ≈ 11.48 m
But this assumes the rocket is launched from the ground. We're given that the rocket is launced from 3 m above the ground, so we need to add this to the height above. So the maximum height is closer to 14.48 m.
As mentioned before, this happens when vertical velocity is 0:
0 = 15 m/s - g t
t = (15 m/s) / (9.80 m/s²) ≈ 1.53 s
How much force does it take to give a 70 kg object an acceleration of 20 mls2
Answer:
heyy
Explanation:how r uuu
Weight _____. A) is related to mass, but not the same. B) changes as mass changes C) depends upon gravitational pull D) all of the above
Answer:
D) all of the above
Explanation:
All of the given choices are correct definition of what weight of a substance implies.
Weight is the vertical force on a body due to the gravitational attraction or pull.
Weight = mass x acceleration due to gravity
Mass of a body is directly proportional to its weight and so also is the gravity.
Mass is the amount of matter within a substance.
Weight is the force of gravity exerted by a body on another or a surface.
The reason why the weight of a body changes from place to place is mainly due to the gravitational pull
HELP
A 3000-kg truck moving with a velocity of 10 m/s hits a 1000-kg parked car. The impact causes the 1000-kg car to be set in motion at 15 m/s . Assuming that momentum is conserved during the collision, determine the velocity of the truck immediately after the collision.
Answer:
Hey I go to GOC send me your number
Explanation:
Need help with questions 46 and 47. Thank you
46)
Since air resistance is ignored, both cannonballs will fall with the same acceleration due to gravity, which is approximately 9.8 m/s^2. The horizontal velocity of cannonball A does not affect its vertical motion, so it will fall at the same rate as cannonball B.
The time it takes for an object to fall to the ground from a certain height is given by the formula t = sqrt(2h/g), where t is the time, h is the initial height, and g is the acceleration due to gravity.
For cannonball B, which is dropped from a height of 20 meters, the time it takes to reach the ground is:
t = sqrt(2h/g) = sqrt(2*20/9.8) = 2.02 seconds
For cannonball A, which is fired horizontally with a velocity of 5 m/s, the time it takes to reach the ground is also 2.02 seconds, since the vertical motion is the same as cannonball B.
Therefore, both cannonballs will hit the ground at the same time.
47)
The recoil speed of the cannon can be calculated using the principle of conservation of momentum, which states that the total momentum of a system remains constant if no external forces act on it.
Before firing, the total momentum of the system is zero, since the cannon and cannonball A are at rest. After firing, the cannonball A has a momentum of 5 kg * 5 m/s = 25 kg m/s to the right, so the cannon must have an equal and opposite momentum to the left in order to conserve momentum.
The mass of the cannon is 500 kg, so its momentum after firing will be:
p = -25 kg m/s
The velocity of the cannon can be found using the equation:
p = mv
where p is the momentum, m is the mass, and v is the velocity. Solving for v, we get:
v = p/m = (-25 kg m/s) / (500 kg) = -0.05 m/s
Since the momentum of the cannon is negative, the recoil velocity is also negative, indicating that the cannon will move to the left after firing. The magnitude of the recoil velocity is 0.05 m/s, or approximately 0.18 km/h.
pls help, i have no idea where to start
Answer:
Use equation 1/2 * m * v²
Explanation:
where m = mass in kg
and v = velocity in m/s
plug accordingly.