Answer:
Wtotal = KEfinal - KEinitial
42.81 J + 1.47 N * u^2 * 1.70 m/kg
Explanation:
To solve this problem, we can use the work-energy principle, which states that the net work done on an object is equal to its change in kinetic energy. We can break the problem down into several steps to determine the total work done on the box and its final kinetic energy.
Step 1: Find the work done by gravity
The gravitational force acting on the box as it moves up the incline is given by Fg = mgsin(theta), where m is the mass of the box, g is the acceleration due to gravity, and theta is the angle of the incline. The work done by gravity over a vertical distance h is given by Wg = Fg*h. Plugging in the values given in the problem, we get:
Fg = 2.50 kg * 9.81 m/s^2 * sin(30.0°) = 12.23 N
Wg = Fg * 3.50 m = 42.81 J
Step 2: Find the work done by friction
The frictional force acting on the box is given by Ff = mgcos(theta)mu, where mu is the kinetic coefficient of friction. The work done by friction over a horizontal distance s is given by Wf = Ffs. Since the box starts from rest and comes to a stop, the work done by friction must be equal to the initial kinetic energy of the box. Plugging in the values given in the problem, we get:
Ff = 2.50 kg * 9.81 m/s^2 * cos(30.0°) * 6.00x10^-2 = 1.47 N
Wf = Ff * s
To find the distance s, we can use the fact that the box comes to a stop at the highest point of its trajectory, where its final velocity is zero. Using the equations of motion, we can find the distance s:
v^2 - u^2 = 2as
where v is the final velocity (0 m/s), u is the initial velocity, a is the acceleration (given by Ff/m), and s is the distance traveled.
Plugging in the values given in the problem, we get:
0 - u^2 = 2 * (1.47 N) / 2.50 kg * s
s = u^2 / (2 * (1.47 N) / 2.50 kg) = u^2 * 1.70 m/kg
Step 3: Find the total work done on the box
The total work done on the box is the sum of the work done by gravity and the work done by friction:
Wtotal = Wg + Wf = 42.81 J + Ff * s
Plugging in the values of Ff and s, we get:
Wtotal = 42.81 J + 1.47 N * u^2 * 1.70 m/kg
Step 4: Find the initial kinetic energy and final kinetic energy
The initial kinetic energy of the box is given by KE = 1/2 * m * u^2, where m is the mass of the box and u is the initial velocity. The final kinetic energy of the box is zero, since it comes to a stop at the highest point of its trajectory.
Therefore, the initial kinetic energy is:
KE = 1/2 * 2.50 kg * u^2
And the final kinetic energy is:
KE = 0 J
Putting it all together, we get:
Wtotal = KEfinal - KEinitial
42.81 J + 1.47 N * u^2 * 1.70 m/kg
10. What is the potential energy of a 3 kg ball that is up a hill of height 40 meters?
Answer:
1200J
Explanation:
m=3,h=40 while g= 10m/s^2
P.E=mgh
= 3 x 40 x10
=1200J
Eve solves a linear equation. The final two steps of her work are shown.
7x+3.5 = 7x-3.5
3.5 = -3.5
Answer:
the 3rd option
Explanation:
3.5 = -3.5
is false in every case, for any value of x we can think of.
there is no value of x that makes this equation true.
so, there is no solution.
what is the density of water g/cm3
The density of water is 1 g per centimetre cube.
A measurement of density contrasts the mass of an object with its volume. High density refers to the amount of matter in a given volume of an object.
The density of a substance indicates how dense it is in a given area. Mass per unit volume is the definition of a material's density.
Density is calculated by comparing an object's mass to its volume. The amount of matter in a specific volume of an object is referred to as high density.
A substance's density describes how dense it is in a specific space. A material's density is defined as its mass per unit volume.
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find an expression for t1 , the tension in cable 1, that does not depend on t2 . express your answer in terms of some or all of the variables m , θ1 , and θ2 , as well as the magnitude of the acceleration due to gravity g . you must use parentheses around θ1 and θ2 , when they are used as arguments to any trigonometric functions in your answer.
The expression for tension T₁ in cable 1 is calculated to be mgcosθ₁/(sinθ₁ + sinθ₂).
The angle made by strings 1 and 2 are θ₁ and θ₂ respectively. Tension in the strings 1 and 2 are T₁ and T₂ respectively.
Considering the diagram attached, the following tension components are written as,
The energy is directed downward by the weight of the block pressing against the body.
Vertical component of T₁ is T₁ sinθ₁ which acts upwards.
Horizontal component of T₁ is T₁ cosθ₁ which acts to the left.
Vertical component of T₂ is T₂ sinθ₂ which acts upwards.
Horizontal component of T₂ is T₂ cosθ₂ acting towards right.
To maintain an equilibrium, the upward forces and downwards forces must be equal even as the forces on the right and left hand side must be balanced.
Therefore, balancing the vertical components we obtain,
T₁ sinθ₁ + T₂ sinθ₂ = mg
For horizontal forces, T₁ cosθ₁ = T₂ cosθ₂
Re-arranging the above equation and making T₂ the subject of the formula, we can write it as,
T₂ = T₁ cosθ₁/cosθ₂
Substituting T₂ into the vertical component we get,
T₁ sinθ₁ + (T₁ cosθ₁/cosθ₂)sinθ₂ = mg
Multiply by cosθ₂ on both sides, we obtain,
T₁ sinθ₁ cosθ₂ + T₁ cosθ₁ sinθ₂ = mg cosθ₂
T₁ (sinθ₁ cosθ₂ + cosθ₁ sinθ₂) = mg cosθ₂
As we know the formula for sin(a + b) as sin(a)cos(b)+sin(b)cos(a), we get the above equation as,
T₁ sin(θ₁ + θ₂) = mg cosθ₂
Making T₁ as subject, we have,
T₁ = mg cosθ₂/sin(θ₁ + θ₂)
Thus, the equation for T₁ is deduced.
The given question is incomplete without the diagram. The diagram is attached in the attachment below.
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how to convert 25 c to k?
25 °C is equivalent to 298.15 K. The formula to convert Celsius (°C) to Kelvin (K) is 0°C + 273.15 = 273.15K.
To convert 25 degrees Celsius (°C) to Kelvin (K), you can use the following formula:
0°C + 273.15 = 273.15K
Plugging in the given value of 25 °C, we get:
K = 25 + 273.15 = 298.15 K
Therefore, 25 °C is equivalent to 298.15 K.
The Kelvin (K) scale is an absolute temperature scale where 0 K represents absolute zero, the theoretical temperature at which all matter would have zero thermal energy. On the Kelvin scale, the size of one degree is the same as that of one Celsius degree, but the Kelvin scale starts at absolute zero, while the Celsius scale starts at the freezing point of water.
To convert a temperature from Celsius to Kelvin, you simply need to add 273.15 to the Celsius temperature. This is because the size of one Kelvin degree is the same as one Celsius degree, but the Kelvin scale starts at absolute zero (which is -273.15 °C), so adding 273.15 to a temperature in Celsius converts it to Kelvin.
The Kelvin scale is used in many scientific fields, especially in physics and chemistry, where absolute zero is a critical reference point. It is also used in engineering and technology, particularly in the fields of thermal engineering and materials science
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What is the conversion of 99.3 f to c ?
99.3°F is equivalent to 37.4°C
A temperature unit developed from the SI (International System of Units) is Celsius (symbol: °C).
Prior to the adoption of the metric system, Fahrenheit (symbol: °F) was a commonly used measurement of temperature.
To convert Fahrenheit (°F) to Celsius (°C) we have to first subtract 32 from Fahrenheit and then multiply it by .5556 or 5/9.
We have to convert 99.3 degrees Fahrenheit (°F) to Celsius (°C),
We can use the following formula:
°C = (°F - 32) x 5/9
As per the given information,
°F = 99.3
Substituting the value 99.3 for °F, we get:
°C = (99.3 - 32) x 5/9
= 67.3 x 5/9
= 37.4
Therefore, 99.3°F is equivalent to 37.4°C.
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light colored rocks that are high in sio2 are typically called
Rocks with a silica content of around 70% and composed primarily of quartz and feldspars are at the light-colored extreme. Granitic rock refers to these rocks.
What is SiO2 used for?Amorphous silicon dioxide, or SiO2, is employed in microsystems as a structural or sacrificial layer in many micro - milling techniques, as a dielectric in capacitors and transistors, as an insulator to isolate various electronic parts, and in other applications.
Why SiO2 is used in cement?In order to alter the rheological behaviour of cement systems, increase the reactivity of supplemental cementitious materials, and increase the strength and durability, SiO2 nanoparticles were utilised.
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What is vaporization pressure of water?
Vaporization pressure of water is the pressure exerted by water vapor when it is in equilibrium with liquid water at a specific temperature.
Vaporization pressure of water represents the point at which the rate of evaporation of water equals the rate of condensation of water vapor, and it varies with temperature and atmospheric pressure.
As temperature increases, the vaporization pressure of water also increases. At sea level, the vaporization pressure of water is approximately 4.6 millimeters of mercury (mmHg) or 0.006 atmospheres at 0 degrees Celsius (32 degrees Fahrenheit) and approximately 23.8 mmHg or 0.031 atmospheres at 25 degrees Celsius (77 degrees Fahrenheit).
The vaporization pressure of water is an important parameter in atmospheric science, climate research, and various industrial and technological applications such as humidity control, air conditioning, and power generation.
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Suppose the electric force between two charged objects is 85 N. If each object had 0. 6 times as much charge, what would be the electric force between them?
The electric force between the two charged objects, if they were 0.6 times more charged, would be 30.6 N.
According to Coulomb's Law, the electric force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. The equation for Coulomb's Law is: F = kQ₁Q₂/r² where:
F is the electric force, k is the Coulomb constant, Q₁ and Q₂ are the charges of the objectsr is the distance between them.In this case, if each object had 0.6 times as much charge, the electric force between them would be:
F' = k(0.6Q₁)(0.6Q₂)/r² =
F' = (0.6)(0.6)kQ₁Q₂/r²
F' = 0.36kQ₁Q₂/r² ´
F' = 0.36F
Therefore, the electric force between the two charged objects would be 0.36 times the original force, or 0.36(85 N) = 30.6 N. So, the electric force between the two charged objects would be 30.6 N.
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The electric force between them would be 30.6 N.
The electric force between two charged objects can be calculated using Coulomb's Law:
F = kq1q2 / r^2
Where F is the electric force, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q1 and q2 are the charges on the objects, and r is the distance between them.
If each object had 0.6 times as much charge, then the new charges would be:
q1' = 0.6q1
q2' = 0.6q2
Substituting these values into Coulomb's Law gives us:
F' = k(0.6q1)(0.6q2) / r^2
F' = (0.6)^2 * kq1q2 / r^2
F' = 0.36 * F
So the new electric force would be 0.36 times the original electric force:
F' = 0.36 * 85 N
F' = 30.6 N
Therefore, if each object had 0.6 times as much charge, the electric force between them would be 30.6 N.
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The largest deflection from the isoelectric line in the ECG is found in the Multiple Choice A) P wave. B) T wave. C) T-P segmept. D) QRS complex. E) P-R interval.
The largest deflection from the isoelectric line in the ECG is found in the QRS complex.
The correct option is D.
What is an ECG?An ECG (electrocardiogram) is a medical test that records the electrical activity of the heart. It is a non-invasive procedure that involves attaching electrodes to the skin of the chest, arms, and legs, which detects the electrical signals generated by the heart as it beats. These signals are amplified and recorded, producing a visual representation of the heart's electrical activity over time, known as an ECG waveform.
The QRS complex is the largest deflection from the isoelectric line in the ECG. It represents the depolarization of the ventricles and is typically a sharp, narrow peak.
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how to find the velocity
To find velocity, you need to divide the distance traveled and the time it took to travel that distance.
Velocity is a vector quantity that indicates the rate of change of an object's position in a given direction. It is calculated by dividing the change in position of an object by the time interval over which the change occurred.
The formula for velocity is,
velocity = distance / time
For example, if a car traveled 100 meters in 10 seconds, the velocity would be,
velocity = 100 meters / 10 seconds
velocity = 10 meters per second
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A(n) ___ is a special DC voltmeter that detects the presence or absence of a signal.
a. Ground resistance probe
b. Megohmmeter
c. Digital logic probe
d. Oscilloscope
"A(n) digital logic probe is a special DC voltmeter that detects the presence or absence of a signal."
An inexpensive hand-held test tool called a logic probe is used to examine and troubleshoot the logical states of a digital circuit. A logic analyzer is utilised instead when numerous signals need to be observed or recorded concurrently.
To examine the logic states of digital data, logic probes are used. You need logic probes that can precisely acquire signals from a broad range of electronic designs while preserving signal fidelity in order to verify and debug the high-speed, low-voltage digital signals of today.
The logic probe, also known as a digital tester, is typically a portable, inexpensive probe that resembles a pen and has indicator lights to indicate the status of the line being probed. Logic probes are frequently used to examine digital circuits, such as those that use TTL or CMOS logic.
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According to general relativity, earth goes around the sun rather than flying straight off into space because___
According to general relativity, Earth goes around the sun rather than flying straight off into space because of the curvature of spacetime caused by the mass of the sun.
The general theory of relativity explains how gravity is actually caused by the curvature of spacetime and not by any actual force at all. The mass of the sun bends spacetime, which in the case of the Earth orbiting the sun causes the Earth to move on a curved orbit. The orbit of the Earth is visible as a curving path.
The Earth would indeed continue to move in a straight line if it weren't for the sun's mass's effect on the curvature of spacetime. But, general relativity offers a more thorough understanding of gravity and demonstrates that the Earth's and other solar system objects' motions are caused by the curvature of spacetime.
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how do speed traction and gravity affect braking distance
You'll move more quickly and halt farther away thanks to gravity. To slow down to a safe speed and keep control of your car, you might need to downshift or gently apply the breaks.
Gravity aids you in stopping attempts and shortens the stopping distance when you are traveling uphill. When you are descending, gravity also works against you and lengthens your stopping distance. The next factor that can affect your braking distance is the friction between the road and your tires. The amount of time it takes to stop a moving object is related to the square of the starting speed of the vehicle and relies on how quickly it was moving before the brakes were applied. Hence, even little speed increases result in noticeably larger stopping distances. The distance covered while using the brakes is the braking distance. Speed and drag are two variables that influence it.
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Gravitational attraction is the driving force for which processes? Stellar fusion Formation of Moons Expansion of the Universe Formation of stars Formation of planets Formation of nebulae
Gravitational attraction is the driving force for stellar fusion. So option a. is the correct answer.
Massive clouds were created when gas whirls of both helium and hydrogen cooled. The stuff was attracted together by the gravitational attraction in the middle, and ultimately, a few of the nuclei formed. The heat as well as the light of stars were elicited as a consequence of this. Stellar nucleosynthesis is the method by which elements are produced within stars by integrating the protons and neutrons together from the nuclei of lighter elements. All of the atoms in the universe started as hydrogen. Fusion inside stars transforms hydrogen into helium, heat, and radiation. Heavier elements are produced in distinct kinds of stars as they die or explode.
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A stone is dropped from the top of a tall building and at the same time another stone is thrown vertically upwards from the ground level with a velocity of 20m/s. The stones meet at exactly 5s after their release. Calculate the height of the building? (g=10m/s²)
The height of the building is 42.4 meters.
What is the height of the building?
Let's call the height of the building "h". We can use the following kinematic equations to solve for "h":
For the stone that is dropped from the top of the building:
h = (1/2)gt² (Equation 1)
For the stone that is thrown upwards from the ground:
y = vt - (1/2)gt² (Equation 2)
where;
y is the distance travelled by the stone upwards from the ground andv is the initial velocity of the stone (which is 20 m/s in this case).We know that the two stones meet at exactly 5s after their release. This means that the distance travelled by the stone thrown upwards from the ground is equal to the height of the building, i.e.,
y = h
We can substitute this equation into Equation 2 and rearrange it to solve for "t":
h = vt - (1/2)gt²
h = 20t - (1/2)gt²
t = (2h/g - 20)/(-1) (Equation 3)
Now we can substitute Equation 3 into Equation 1 and solve for "h":
h = (1/2)g((2h/g - 20)/(-1))²
h = (1/2)g(2h/g - 20)²
h = (1/2)g(4h²/g² - 80h/g + 400)
Simplifying this equation by multiplying everything by 2g and moving all the terms to one side, we get:
4h² - 160h - 400 = 0
Solving this quadratic equation using the quadratic formula, we get:
h = (160 ± sqrt(160² + 4(4)(400))) / (2(4))
h = (160 ± sqrt(32,000)) / 8
We can ignore the negative solution, so:
h = (160 + 178.88) / 8
h = 42.4 meters
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A pool ball of mass 100 g and velocity (5, -4) m/s collides with a stationary pool bar of the same mass. After the collision, one of the pool balls has a velocity (2, -3) m/s. Find the velocity of the other pool ball.
The velocity of the other pool ball is (3, -1) m/s.
How solve this problem?We can solve this problem 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.
Let the initial velocity of the stationary pool bar be (0,0) m/s. The initial momentum of the system is:
p_initial = m1 * v1 + m2 * v2
where m1 and m2 are the masses of the pool balls, and v1 and v2 are their initial velocities.
Substituting the given values, we have:
p_initial = 0.1 kg * (5, -4) m/s + 0.1 kg * (0,0) m/s
= (0.5, -0.4) kg m/s
After the collision, the total momentum of the system is still conserved, but now we have one ball at rest and the other moving with a velocity of (2, -3) m/s. Let the velocity of the other pool ball be (vx, vy) m/s. Then we have:
p_final = m1 * (2, -3) m/s + m2 * (vx, vy) m/s
where m1 and m2 are still the masses of the pool balls.
Setting the initial and final momenta equal and solving for (vx, vy), we get:
p_initial = p_final
0.5, -0.4 = 0.1 * (2, -3) + 0.1 * (vx, vy)
0.5, -0.4 = (0.2, -0.3) + (0.1vx, 0.1vy)
0.5 - 0.2 = 0.1vx
-0.4 + 0.3 = 0.1vy
vx = 3 m/s
vy = -1 m/s
Therefore, the velocity of the other pool ball is (3, -1) m/s.
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where did darwin do most of the work which led to his hypothisis on evolution
Answer:
He collected many specimens of the finches on the Galapagos Islands. These specimens and his notebooks provided Darwin with a record of his observations as he developed the theory of evolution through natural selection.
What does 35.5 Celsius mean in Fahrenheit?
In Fahrenheit, 35.5 degrees Celsius is equivalent to 127.9 degrees.
Use the formula below for the convert 35.5 degrees Celsius to Fahrenheit:
°F = (°C x 1.8) + 32
The process of translating a temperature from one scale to another is referred to as temperature conversion. Temperature conversions between the several regularly used temperature scales, including Celsius, Fahrenheit, and Kelvin, are frequently required.
where the temperature is expressed in degrees Fahrenheit (°F) and degrees Celsius (°C).
Plugging in 35.5 degrees Celsius yields the following results:
°F = (35.5 x 1.8) + 32 °F
=> 95.9 + 32 °F
=> 127.9
As a result, 35.5 Celsius is equivalent to 127.9 Fahrenheit.
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How do you convert J to V?
J and V are different units of measurement and cannot be directly converted as they measure different quantities.
J is the unit of measurement for energy or work in the International System of Units (SI), while V is the unit of measurement for electrical potential difference or voltage.
To convert J (joules) to V (volts), you would need to know the amount of energy involved and the electrical charge involved in the process.
One formula that relates energy, charge, and voltage is:
V = E/Q
where V is voltage, E is energy, and Q is electric charge. If you know the values of E and Q, you can use this formula to calculate the voltage.
For example, if you have 1 joule of energy and 1 coulomb of electric charge, you can calculate the voltage using the formula:
V = 1 J / 1 C = 1 V
So, in this example, 1 joule of energy is equivalent to 1 volt of electrical potential difference when there is 1 coulomb of electric charge involved.
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The following vectors would carry me how far left or right (x-direction only):
A = 230<15o
B = 120<237o
C = 212<188o
Question 2 options:
A)10. 9 Right
B) 70. 6 Left
C) 10. 9 Left
D) 53. 1 Left
The vector A carries you 222.487 units to the right, vector B carries you 86.424 units to the left, and vector C carries you 42.324 units to the left in the x-direction
To determine the x-direction component of each vector, we need to use trigonometry. We can use the cosine function to find the x-component of each vector since cosine gives the adjacent side length of a right triangle.
For vector A:
The length of the adjacent side (x-component) is given by: cos(15°) = 0.9659
The x-component of vector A is therefore: 230 x 0.9659 = 222.487
For vector B:
The length of the adjacent side (x-component) is given by: cos(237°) = -0.7252 (since cosine is negative in the second and third quadrants)
The x-component of vector B is therefore: 120 x -0.7252 = -86.424
For vector C:
The length of the adjacent side (x-component) is given by: cos(188°) = -0.1997 (since cosine is negative in the second and third quadrants)
The x-component of vector C is therefore: 212 x -0.1997 = -42.324
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what is called the term for the branch of science that studies atoms
The branch of science that studies atoms is called atomic physics.
Atomic physics is the branch of physics that studies the structure of atoms and the interactions between them. It also covers the theories and principles behind the behaviour of atomic particles, such as electrons and protons. Atomic physics has many applications in fields such as chemistry, engineering, and medicine.Atomic physics is the study of atoms, their structure, and their interactions with other particles and fields. It is a sub-discipline of physics that deals with the behavior and properties of atoms. Atomic physics is concerned with the arrangement of electrons around the nucleus, the forces that hold them together, the energy levels of the different types of atoms, and the way in which they interact with light and other particles.
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a thin rod with a uniform charge density of 3.90 uC/m. Evaluate the electric potential at point P if d = D = L/5.00.
The Electric Potential at a point P for a thin rod with uniform charge density is equal to 50230.4 V.
Electric Potential is referred to as the total amount of work that is done by any external element to bring a unit positive charge from infinity to a point where the influence of potential can be felt. The electric potential due to a point charge is represented by
[tex]V = k\frac{q}{r}[/tex]
where V is the electric potential, k is Coulomb's constant which is equal to 9×10⁹ N m²/C², q is the charge and r is the distance.
Now, the Electric potential due to a small element dx at a distance d is given by
[tex]dV = k\frac{\alpha dx}{r}\\dV = k\frac{\alpha dx}{\sqrt{d^2 + x^2}}} \\dV = k\frac{\alpha dx}{\sqrt{D^2 + x^2}}} \\[/tex]
where k is coulomb's constant, α is the charge density.
Now the total electric potential at point P is
[tex]V = \int\limits^L_D \, dV \\V = \int\limits^{5D}_D \, k\frac{\lambda dx}{\sqrt{D^2 + x^2}}} \\\\V = k \lambda \int\limits^{5D}_D \, \frac{\ dx}{\sqrt{D^2 + x^2}}} \\\\ \\V = k\lambda[ln(\sqrt{D^2 + x^2} + x)]\limits^{5D}_D\\[/tex]
V = (9×10⁹)(3.90×10⁻⁶) ln {(5 + √26)/(1 + √2)}
V = 50230.4 V which is the required potential.
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is silicon a better conductor of electricity than sulfur
Yes, silicon a better conductor of electricity than sulfur. The reasons are explained below.
Due to the outer electrons of pure silicon and germanium being bound in the covalent bonds of the diamond-like framework, these materials are weak electrical conductors.
Through the movement of free electrons, silicon can transmit electricity. Since silicon is an n-type semiconductor, just a small amount of n-type contaminants will produce free electrons. The current that moves through silicon from one place to another is caused by these free electrons.
Pure sulphur is a tasteless, odourless, brittle solid with a pale golden colour that is insoluble in water and a weak conductor of electricity. Sulfur meets three of the basic criteria for non-metals, making it a non-metal. Due to the restriction on the unrestricted movement of electrons, it is a poor conductor of heat and electricity. To undergo ionisation, an element's electrons need space to travel around and generate an electric charge.
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what is the combined mass in grams of objects that have masses of 0.2000 kg, 80.0g, 524mg
The combined masses 0.2000kg * 1 g/0.001kg = 200 g, 524 mg * 1g/ 1000 mg = 0.524 g, 200g + 80.0 g + 0.524 g=280.524 g.
Mass is commonly referred to as the quantity of matter contained within an object. It is most usually assessed as inertial mass, which refers to an object's tension to acceleration given a given net force.
Matter, on the other hand, is defined somewhat loosely in science and cannot be strategically placed. In physics, mass is a statistical expression of inertia, which is a fundamental precept of all matter.
It is, in influence, the highly resistant that a cell of matter provides to a modification in its speed or placement when a force is applied to it. The smaller the start changing created by an applied force, the greater the mass of the body.
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suppose you are driving a 500-kg zamboni when it suddenly breaks down, forcing you to get out and push. you apply a force of 85 n on the machine, which experiences a constant frictional force of 5 n. how long (in seconds) will it take to push the zamboni the remaining 40 m?
The net force acting on the Zamboni is:
F_net = F_applied - F_friction
where F_applied is the force you apply, and F_friction is the frictional force. Substituting the given values, we get:
F_net = 85 N - 5 N = 80 N
The acceleration of the Zamboni is given by:
a = F_net / m
where m is the mass of the Zamboni. Substituting the given values, we get:
a = 80 N / 500 kg = 0.16 m/s^2
The distance the Zamboni moves is given by:
d = 40 m
The equation for motion with constant acceleration is:
d = 1/2 * a * t^2
where t is the time taken to move the distance d. Rearranging this equation, we get:
t = sqrt(2 * d / a)
Substituting the given values, we get:
t = sqrt(2 * 40 m / 0.16 m/s^2) = 10 s
Therefore, it will take 10 seconds to push the Zamboni the remaining 40 meters.
What is force?
Force is a physical quantity that describes the influence that can change the motion of an object.To know more about force, click the link given below:
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Raj drinks a glass of water in his kitchen. The water is at room temperature, and Raj decides to make it colder by adding ice. Which of the following describes why the ice cubes will melt?
Answer:
The tempature of the room.
Explanation:
Due to the temperature of the room being above the ice freezing point, the ice will melt.
A marine weather station reports that waves along the shore are 1.35 m high, 6.3 meters long and tbey reach the station 7.2 seconds apart. Find the frequency and the speed of these waves.
The speed of wave propagation is found to be 0.875 m/s.
Explain about the term waves?A disturbance and variation that causes energy to be transferred gradually from one point to another in a medium.It can be an elastic deformation or a change in pressure, electrical or magnetic intensity, electrostatic force, or temperature.For the stated question:
Amplitude a = 1.35 m
Wavelength λ = 6.3 m
Time period T = 7.2 s
Frequency υ.
From the relation of time- period and frequency:
υ = 1/T
υ = 1/7.2
υ = 0.138 Hz
Speed of the wave v;
speed = wavelength * frequency
v = λ*υ
v = 6.3 * 0.138
v = 0.875 m/s
Thus, the speed of the propagation of the wave is found to be 0.875 m/s.
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What is it called when information is detected by a sensory receptor?
Specialized neurons called sensory receptors react to particular kinds of inputs. Sensation occurs when sensed data is received by a sensory receptor.
What is sensory receptor function?The ability to learn about our surroundings or the condition of our organizational context is one of the main functions of sensory receptors. Receiving different kinds of inputs from various sources, the nervous system converts them into electrochemical signals. It is known as sensory transduction.
What are some examples of sensory receptors?All layers of skin have sensory receptors. Mechanoreceptors surrounding hair follicles, Pacinian corpuscles, Meissner carrier of genetic information, Merkel complexes, Subject to certain constraints corpuscles, and C-fiber LTM are among the six kinds that may detect harmless stimuli in the skin (low threshold mechanoreceptors).
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What is equation for power ?
Answer:
Explanation:
Power is defined as the rate at which work is done
Power = work/time and is measured in Watts