In the operating system's command-line shell, parameters are provided after the program's name. Typically, we define main() with two arguments: a list of command-line arguments and a number representing the number of command-line arguments.
In C#, how do you acquire command-line arguments for a process?We'll talk about utilizing the Environment class to retrieve and show command-line arguments in this article. Therefore, we use the Environment Class's CommandLine property to do this task. To locate the command line for the active process, utilize this attribute. Message Type: This property returns a string as its return type.
Which of these methods accepts parameters from the command line?Only the main() method can accept parameters from the command line.
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What is differential equation for the velocity of a falling object of mass m if the magnitude of the drag force is proportional to the square of the velocity and its direction is opposite to that of the velocity?
The differential equation that describes the velocity of a falling object of mass "m" under the influence of a drag force proportional to the square of the velocity and opposite in direction is dv/dt = -(b/m) × v².
The equation for the velocity of a falling object under the influence of drag force is described by a second-order ordinary differential equation. The drag force is proportional to the square of the velocity, and its direction is opposite to that of the velocity, which gives the equation:
F_drag = -bv²
where b is a constant of proportionality and v is the velocity of the object.
Newton's second law of motion states that the net force acting on an object is equal to its mass multiplied by acceleration, or:
F_net = m × a
Combining these two equations, we have:
m × dv/dt = -bv²
Rearranging the equation we have:
dv/dt = -(b/m) × v².
This is the ordinary differential equation that describes the velocity of a falling object under the influence of a drag force proportional to the square of the velocity and opposite in direction. To solve this equation, we would need to specify initial conditions for the velocity and position of the object, as well as the value of the constant b.
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A rigid, insulated tank whose volume is 10 L is initially evacuated. A pinhole leak develops and air from the surroundings at 1 bar, 25 C enters the tank until the pressure in the tank becomes 1 bar (assume ideal gas model k=1.4 for the air). Find:
A) final temperature in tank.
B) amount of air that leaks into tank in grams.
C) amount of entropy produced in J/K.
Answer:
The answer is "\(143.74^{\circ} \ C , 8.36\ g, and \ 2.77\ \frac{K}{J}\)"
Explanation:
For point a:
Energy balance equation:
\(\frac{dU}{dt}= Q-Wm_ih_i-m_eh_e\\\\\)
\(W=0\\\\Q=0\\\\m_e=0\)
From the above equation:
\(\frac{dU}{dt}=0-0+m_ih_i-0\\\\\Delta U=\int^{2}_{1}m_ih_idt\\\\\)
because the rate of air entering the tank that is \(h_i\) constant.
\(\Delta U = h_i \int^{2}_{1} m_i dt \\\\= h_i(m_2 -m_1)\\\\m_2u_2-m_1u_2=h_i(M_2-m_1)\\\\\)
Since the tank was initially empty and the inlet is constant hence, \(m_2u-0=h_1(m_2-0)\\\\m_2u_2=h_1m_2\\\\u_2=h_1\\\\\)
Interpolate the enthalpy between \(T = 300 \ K \ and\ T=295\ K\). The surrounding air
temperature:
\(T_1= 25^{\circ}\ C\ (298.15 \ K)\\\\\frac{h_{300 \ K}-h_{295\ K}}{300-295}= \frac{h_{300 \ K}-h_{1}}{300-295.15}\)
Substituting the value from ideal gas:
\(\frac{300.19-295.17}{300-295}=\frac{300.19-h_{i}}{300-298.15}\\\\h_i= 298.332 \ \frac{kJ}{kg}\\\\Now,\\\\h_i=u_2\\\\u_2=h_i=298.33\ \frac{kJ}{kg}\)
Follow the ideal gas table.
The \(u_2= 298.33\ \frac{kJ}{kg}\) and between temperature \(T =410 \ K \ and\ T=240\ K.\)
Interpolate
\(\frac{420-410}{u_{240\ k} -u_{410\ k}}=\frac{420-T_2}{u_{420 k}-u_2}\)
Substitute values from the table.
\(\frac{420-410}{300.69-293.43}=\frac{420-T_2}{{u_{420 k}-u_2}}\\\\T_2=416.74\ K\\\\=143.74^{\circ} \ C\\\\\)
For point b:
Consider the ideal gas equation. therefore, p is pressure, V is the volume, m is mass of gas. \(\bar{R} \ is\ \frac{R}{M}\) (M is the molar mass of the gas that is \(28.97 \ \frac{kg}{mol}\) and R is gas constant), and T is the temperature.
\(n=\frac{pV}{TR}\\\\\)
\(=\frac{(1.01 \times 10^5 \ Pa) \times (10\ L) (\frac{10^{-3} \ m^3}{1\ L})}{(416.74 K) (\frac{8.314 \frac{J}{mol.k} }{2897\ \frac{kg}{mol})}}\\\\=8.36\ g\\\\\)
For point c:
Entropy is given by the following formula:
\(\Delta S = mC_v \In \frac{T_2}{T_1}\\\\=0.00836 \ kg \times 1.005 \times 10^{3} \In (\frac{416.74\ K}{298.15\ K})\\\\=2.77 \ \frac{J}{K}\)
If an object is thrown straight up and air resistance is negligible, then its speed when it returns to the starting point is the same as when it was released. If air resistance were not negligible, how would its speed upon retum compare with its initial speed? How would the maximum height to which it rises be affected?
Answer:
Explanation:
The speed is the same coming back down to the ground as it would be when thrown up.
A little later, you will be studying energy. One of the things conserved in a system is energy. You cannot get more energy out of a system than you have put in.
That fact explains how the speed at the end of the object's travels can be the same as the beginning. All energy must be accounted for.
The second part is not so easily proved or even shown easily. It can be indicated, though.
Suppose vi = 40 m/s
Suppose vf = 0 m/s In other words, you throw a rock up and you stop timing it when it reaches its maximum height.
a = - 9.81 Gravity goes in the opposite direction to vi
vf = vi^2 + 2*a*d
0 = 1600 - 2*9.81*d
-1600 = -19.62*d
1600 / 19.62 = d
d = 81.55 m.
Now leave everything else alone and double vi
0 = 80^2 - 2*9.81 d
-6400 = -19.62 * d
d = 326.2
Give or take a bit, the height = roughly 4 times what it was if the initial speed is doubled. 326.2 / 81.55 = 4
a 1500 kg elevator, suspended by a single cable with tension 16.0 kn, is measured to be moving upward at 1.2 m/s. air resistance is negligible.A: Is the elevator speeding up, slowing down, or moving at constant speed?B: We want to find the elevator’s speed after traveling upward 10.0 m. How much work does tension do on the elevator as it rises 10.0 m?C: How much work does gravity do on the elevator as it rises 10.0 m?D: What is the elevators kinetic energy after rising 10.0 m ?E: What is the elevators speed after rising 10.0 m ?
The elevator's speed after moving 10 meters is 1.6*105 N, the work done by gravity is 1.47 * 103 N, the elevator's kinetic energy is 13897.5 J, and the elevator's speed after rising to 10 meters is 4.312 m/s. The tension in the cable is 0.87 m/s6.
We know that,the Cable is tense
T=m(g+a)=g+a=T/m=16*103/ 1500=10.67 m/s2
a = 10.67 - 9.8 = 0.87 m/s6^2
the speed of the elevator after 10 meters.
U^2 = u^2 +2as
= 1.22 +2*0.87*10
=1.6*10^5 N
Gravitational work =mg * 10 = 14700 * 10 = 1.47 * 103 N.
Elevator Kinetic Energy = 1⁄2 a mv2 or 1/2*1500*18.53 or 13897.5J.
speed of elevator after ascending to 10 m,
U^2 = u^2 +2as = 1.2 +2*0.87*10 = 18.6
U =(18.6)^1/2=4.312 m/s
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The diagram below shows a 5.00-kilogram block
at rest on a horizontal, frictionless table.
5.00-kg
block
Table
Which of the following is the correct name and strength of the force holding the block up?
The name and strength of the force holding the block up is 50 N upward - Normal force.
The given parameters:
Mass of the block, m = 5 kgThe weight of the block acting downwards due to gravity is calculated as follows;
W = mg
where;
g is acceleration due to gravity = 10 m/s²W = 5 x 10
W = 50 N (downwards)
Since the block is at rest, an a force equal to the weight of the block must be acting upwards. This force is known as normal reaction.
Fₙ = 50 N (upwards)
Thus, the name and strength of the force holding the block up is 50 N upward - Normal force.
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The block will remain on the table because the normal force balances with the weight of the block. The correct answer is 50 N upward normal force
From the diagram shown a 5.00-kilogram block at rest on a horizontal, frictionless table. The weight of the block will act downward which will be
Weight W = mg
let g = 10 m/\(s^{2}\)
W = 5 x 10
W = 50 N
The block will also produce an equal but in opposite direction of a normal force which is equal to the weight of the block. That is,
Normal force N = 50 N
The block will remain on the table because the normal force balances with the weight of the block.
Therefore, the correct name and strength of the force holding the block up is 50 N upward normal force.
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The once-popular LP (long-play) records were 12 in. in diameter and turned at a constant 33 1/3 rpm.
The angular speed of the long-play (LP) in rad/s is 3.49rads/s and its period in seconds is 1.80 seconds.
How is angular speed and period calculated?To convert the angular speed from revolution per minutes (rpm) to seconds the following formula is used:
ω = (k revolution/60 seconds) x (2π/1 revolution)
ω = 2πk/60seconds (k x 2π/T in seconds)
where, k = constant in rpm, 33 1/3rpm = 33.3333rpm
ω = 2π33.3333/60 = 209.4374/60
ω = 3.49rad/s
For period in seconds, ω = 2π/T
where, T = period and ω = angular speed, 3.49rad/s
To find T, T = 2π/ω
T = 2π/3.49rad/s
T = 1.80s
Using the formula, ω = 2πk/60seconds, the angular speed in rad/s of the LP is 3.49rad/s and the time period for the records using T = 2π/ω is 1.80s.
The full question is:
The once-popular LP (long-play) records were 12 inches in diameter and turned at a constant 33(1/3) rpm. Find the angular speed of the LP in rad/s and its period in seconds.
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plzzzzzzzzzzzzzzzzzzzzzzzzzz help 20 points
Answer:
1.23
Explanation:
\({\underline{\pink{\textsf{\textbf{ Answer : }}}}}\)
➩ 1.23 feet
\({\underline{\purple{\textsf{\textbf{Explanation : }}}}}\)
Given :
Simon cuts a pipe that was 4.92 feet long Then he cuts it into four equal pieces.To find :
What is the length of the each piece.Solution :
As it is told that it's divided into four equal pieces
Therefore,
We must divide it by 4 to get the length of each piece.
So,
\( \sf \to \: \frac{4.92}{4} \\ \sf \to \: 1.23 \: feet \: ans.\)
g a mass of 1.3 kg is pushed horizontally against a massless spring with a spring constant of 58 n/m until the spring compresses 19.5 cm if the mass is then released what is the kinetic energy of the mass when it is no longer in contact with the spring ignore friction
Answer: \(1.102\ J\)
Explanation:
Given
Mass \(m=1.3\ kg\)
Spring constant \(k=58\ N/m\)
Compression in the spring \(x=19.5\ cm\ or\ 0.195\ m\)
When the mass leaves the spring, the elastic potential energy of spring is being converted into kinetic energy of mass i.e.
\(\Rightarrow \dfrac{1}{2}kx^2=\dfrac{1}{2}mv^2\\\\\Rightarrow \dfrac{1}{2}\cdot 58\cdot (0.195)^2=\dfrac{1}{2}mv^2\\\\\Rightarrow \dfrac{1}{2}mv^2=1.102\ J\)
The kinetic energy of the mass is 1.102 J.
2 Complete these sentences:
An apple falls from a tree. The force acting on the apple to make it fall is .......
As it falls, its speed............. This shows that its.............. energy store is increasing.
If this increase is by 2.0 joule (J), the work done on it is........J.
Answer:
Kinetic Energy?
Explanation:
Work: N-m = Joule (J)
Power: J/s = Watt (W)
Energy: Joule (J)
How has Physics improved
or affected our society?
By supplying the fundamental knowledge required to create new instruments and techniques for medical use, physics enhances our quality of life
From can openers, light bulbs, and mobile phones to muscles, lungs, and brains; from paintings, piccolos, and pirouettes to cameras, vehicles, and cathedrals; from earthquakes, tsunamis, and storms to quarks, DNA, and black holes, physics aids us in understanding the workings of the world around us.
The science of physics is the most fundamental and has many applications in contemporary technology. Because it makes it possible for smartphones, computers, televisions, watches, and many other modern technologies to function automatically, physics is crucial to modern technology.
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A baseball is thrown vertically into the air with a speed of 24.7 m/s.
How high does it go?
How long does the round trip up and down require?
PLEASE HEPPPP i need before midnight
I will do brainliest
Answer:
57.7
Explanation:
3.14 × 23 + - 78 = 57.7
STATION 1
Jane moved a 800kg piano to the right across the
carpet with a coefficient of friction of 0.4. What is the
magnitude of the force of friction acting on the
piano?
If she moved it at a constant velocity what is the
applied force acting on the piano?
10. In a laboratory experiment, students recorded the
following length data: 12.2 cm, 12.1 cm, 12 cm,
11.9 cm, and 12.20 cm. (a) Determine the average
length and express the answer using the correct
number of significant figures. (b) Based on your
average length calculation in part (a), discuss the
importance of recording measurements to the
appropriate number of significant figures.
a) 12.1 Average.
B) It is important to record measurements to the correct number of significant figures because otherwise, the integrity of the number is compromised.
What does the average?A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set. When a data collection is ranked from least to greatest, the median is the midpoint.The mean, median, and mode are the three primary varieties of average. Each of these methods operates slightly differently and frequently yields values typically a little off. The average that is most frequently used is the mean. You add all the values and divide this sum by the total number of values to obtain the mean value.Averages are mostly used to track changes over time within a sample group or cohort.Since averages can be used to compare different quantities of the same category, we employ them. The calculation of averages has limits since it cannot reveal how something is distributed among individuals. For instance, the distribution of income is not shown by per capita income.A) Determine the average length and express the answer using the correct number of significant figures:
12.2+12.1+12=36.3/3 = 12.1 Average.
B) Based on your average length calculation in part a, discuss the importance of recording measurements to the appropriate number of significant figures:
It is important to record measurements to the correct number of significant figures because otherwise, the integrity of the number is compromised.
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4. Answer the following questions in terms of a wave's frequency, wavelength, amplitude, and
energy.
a. Describe the characteristics of a high pitch wave.
b. Describe the characteristics of a high-volume wave.
a. A high-pitch wave is characterized by a high frequency and a short wavelength. The frequency determines the pitch of the sound, with higher frequencies corresponding to higher pitches.
The wavelength is the distance between two consecutive peaks or troughs of the wave and is inversely proportional to the frequency. Therefore, a high-pitch wave has a shorter wavelength.
The amplitude of the wave, which is the height of the peak or the depth of the trough, is not directly related to the pitch of the sound, but it does determine the volume or intensity of the sound.
b. A high-volume wave is characterized by a high amplitude and a relatively long wavelength. The amplitude determines the volume or intensity of the sound, with higher amplitudes corresponding to louder sounds.
The wavelength of the wave does not directly affect the volume of the sound, but it can affect how the sound is perceived in different environments.
In general, longer wavelengths are more effective at traveling through obstacles such as walls and are better at penetrating long distances, whereas shorter wavelengths are more easily scattered and attenuated in the atmosphere.
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. A circular loop of wire of area 10 cm2 carries a current of 25 A. At a particular instant, the loop lies in the xy-plane and is subjected to a magnetic field B=(2.0iˆ+6.0jˆ+8.0kˆ)×10−3T. As viewed from above the xy-plane, the current is circulating clockwise. (a) What is the magnetic dipole moment of the current loop? (b) At this instant, what is the magnetic torque on the loop?
The magnetic dipole moment of the current loop is 0.025 Am².
The magnetic torque on the loop is 2.5 x 10⁻⁴ Nm.
What is magnetic dipole moment?The magnetic dipole moment of an object, is the measure of the object's tendency to align with a magnetic field.
Mathematically, magnetic dipole moment is given as;
μ = NIA
where;
N is number of turns of the loopA is the area of the loopI is the current flowing in the loopμ = (1) x (25 A) x (0.001 m²)
μ = 0.025 Am²
The magnetic torque on the loop is calculated as follows;
τ = μB
where;
B is magnetic field strengthB = √(0.002² + 0.006² + 0.008²)
B = 0.01 T
τ = μB
τ = 0.025 Am² x 0.01 T
τ = 2.5 x 10⁻⁴ Nm
Thus, the magnetic dipole moment of the current loop is determined from the current and area of the loop while the magnetic torque on the loop is determined from the magnetic dipole moment.
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4. Calculate the total resistance of the circuit if R1=4 Ω, R2=30 Ω, R3=10Ω, R4=5Ω Determine the current strength if the circuit is connected to a voltage source with a voltage of 56 V
The total resistance of the circuit is 49 Ω. The current strength in the circuit, when connected to a voltage source of 56 V, is approximately 1.14 A.
To calculate the total resistance of the circuit, we need to determine the equivalent resistance of the resistors connected in a series.
Given:
R1 = 4 Ω
R2 = 30 Ω
R3 = 10 Ω
R4 = 5 Ω
Calculate the equivalent resistance (RT) of R1 and R2, as they are connected in series:
RT1-2 = R1 + R2
RT1-2 = 4 Ω + 30 Ω
RT1-2 = 34 Ω
Calculate the equivalent resistance (RTotal) of RT1-2 and R3, as they are connected in parallel:
1/RTotal = 1/RT1-2 + 1/R3
1/RTotal = 1/34 Ω + 1/10 Ω
1/RTotal = (10 + 34) / (34 * 10) Ω
1/RTotal = 44 / 340 Ω
1/RTotal ≈ 0.1294 Ω
RTotal ≈ 1 / 0.1294 Ω
RTotal ≈ 7.74 Ω
Calculate the equivalent resistance (RTotalCircuit) of RTotal and R4, as they are connected in series:
RTotalCircuit = RTotal + R4
RTotalCircuit = 7.74 Ω + 5 Ω
RTotalCircuit ≈ 12.74 Ω
Therefore, the total resistance of the circuit is approximately 12.74 Ω.
To determine the current strength (I) when connected to a voltage source of 56 V, we can use Ohm's Law:
I = V / RTotalCircuit
I = 56 V / 12.74 Ω
I ≈ 4.39 A
Therefore, the current strength in the circuit, when connected to a voltage source of 56 V, is approximately 4.39 A (or 1.14 A, considering significant figures).
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A passenger train travels 295 miles in the same amount of time it takes a freight train to travel 225 miles. The rate of the passenger train is 14 mph greater than the rate of the freight train. Find the rate of each train.
Answer:
9.3
Explanatin:
Answer:
4.5
Explanation:
How is the acceleration of a falling object calculated
Answer:
F=w=ma OR by using equations of motions vf=vi-at : a=vf-vi/t eq 1 s=vit+1/2at squre eq 2 2as=vf squre - vi squre eq 3
Explanation:
where m is the mass of falling body , f is the weight is the force acting down ward , vf is the final velocity, vi is the inetial velocity , t is the time and s is the distance covered by a body.
tính các mô men quán tính chính trung tâm của tiết diện, cho biết a = 10cm
Answer:
i dont know need points
Explanation:
What chargedid sphere b have initially
Answer:
+20 e
Explanation:
"Initially, sphere A has charge of -50 e and sphere B has a charge of +20 e. The spheres are made of conducting material and are identical in size."
- textbook
Hope this helps :)
Earth's gravitational
attraction
vanishes at
force of
force
(a) 6400 km (b) infinity
(c) 42300 km
(d) 1000 km
Answer:
b> infinity
Explanation:
i think b is the correct one
Answer:
(B) Infinity
Explanation:
Gravity can basically never become zero except hypothetically at infinity.
which action would a chemist most likely take to determine how substances in a fuel affect the types
Two blocks of masses 1.0 kg and 2.0 kg, respectively, are pushed by a constant applied force F across a horizontal frictionless table with constant acceleration such that the blocks remain in contact with each other, as shown above. The 1.0 kg block pushes the 2.0 kg block with a force of 2.0 N. The acceleration of the two blocks is
0
1.0 m/s2
1.5 m/s2
2.0 m/s2
3.0 m/s2
Answer:
1.0 m/s^2
Explanation: happy to help :)
Answer: \(1\ m/s^2\)
Explanation:
Given
Masses of the block are \(m_1=1\ kg\) and
\(m_2=2\ kg\)
Force applied by \(1\ kg\) block on \(2\ kg\) block is \(2\ N\)
From the free body diagram of \(2\ kg\) block, the net force on
\(\therefore m_2a=2\\\\\Rightarrow 2\times a=2\\\\\Rightarrow a=\dfrac{2}{2}\\\\\Rightarrow a=1\ m/s^2\)
Thus, the acceleration of two blocks is \(1\ m/s^2\)
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• Show that the following equation is
dimensionally correct velocity of tranfer
wave in a wire under tension T is
V=t/u where in the linear density of
the wire.
The dimensions of V/t = [L][T]⁻¹ / [M][L]⁻¹ = [T]⁻¹[M]⁰[L]⁰.
And the dimensions of V/u = [L][T]⁻¹ / [M][L][T]⁻² = [T]⁻¹[M]⁰[L]⁰.
Since both expressions have the same dimensions, the equation V = t/u is dimensionally correct.
To show that the given equation for the velocity of a transfer wave in a wire under tension is dimensionally correct, let's analyze the dimensions of each variable involved.
The velocity of the transfer wave (V) has the dimension of length divided by time, which is represented as [L]/[T].
The tension in the wire (T) has the dimension of force, represented as [M][L]/[T]^2, where [M] denotes mass.
The linear density of the wire (u) represents the mass per unit length and has the dimension of mass divided by length, denoted as [M]/[L].
The time (t) represents the duration and has the dimension of time, denoted as [T].
Now, let's substitute the dimensions of each variable into the given equation V = t/u:
[L]/[T] = [T] / ([M]/[L])
By rearranging the equation, we have:
[L]/[T] = [L] / ([M]/[T]^2)
Multiplying both sides by [T]^2 and simplifying, we get:
[L][T]^2 = [L][T]^2
The dimensions on both sides of the equation are equal, which demonstrates that the equation is dimensionally correct.
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One elevator arrangement includes the passenger car, a counterweight, and two large pulleys, as shown in Figure 11-50. Each pulley has a radius of 1.2 m and a moment of inertia of 380 kg•m². The top pulley is driven by a motor. The elevator car plus passengers has a mass of 3100 kg, and the counterweight has a mass of 2700 kg. If the motor is to accelerate the elevator car upward at 1.8 m/s², how much torque must it generate? Hint: The two pulleys move together, so you can model them as a single pulley with the sum of the moments of inertia.
The torque generated by the motor, accelerating with 1.8 m / \(s^{2}\) Of the elevator is, 18372 Nm.
What is torque?The force which causes the object to rotate about any axis is called torque. In math form, it is equivalent to the product of force and perpendicular distance.
Given: Radius of pulley (r) = 1.2 meters;
Moment of inertia of pulley (I) = 380 kg\(m^{2}\)
Mass of elevator plus passenger (M) = 3100 kg;
Mass of counterweight (W) = 2700 kg;
Now if the rope tension is \(T_{2}\) then
\(T_{2}\) = 3100 × (9.8 + 1.8)
\(T_{2}\) = 35960 N
If \(T_{1\) is the counterweight tension then
\(T_{1\) = 2700 × (9.8 - 1.8) N
\(T_{1\) = 21600 N
Now Angular acceleration (α) = a / r
α = 1.8 / 1.2
α = 1.5 rad / sec
If T is the total torque then
\(T = 2*I*\alpha +(T_{2} -T_{1} )*r\)
T = 2 × 380 × 1.5 + (35960 - 21600) ×1.2
T = 18372 Nm
Therefore, the total torque generated is 18372 Nm.
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wire 1 and 2 are made of the same metal. wire 2 has twice the length and diameter of the of wire 1.what is the ratio R2/R1 of the resistance of two wire ?
In one cycle of any heat engine
A. the net work done is larger than the heat exhausted.
B. more heat flows from the engine than enters the engine.
C. The internal energy of the engine does not change.
D. the net heat flow is zero.
Answer:
D. the net heat flow is zero
Explanation:
In one cycle of any heat engine, three things happen:
Heat is added; this causes high temperature in the engine (\(Q_H\))Some of the energy from that input heat is used to perform work (W). The rest of the heat is removed at a relatively cold temperature (\(Q_C\)).\(Q_H = W + Q_C\)
Conclusively, the net heat flow is zero
Find the torque t due to the spring. Assume that theta is small enough that the spring remains effectively horizontal and you can approximate sin(theta) = theta and cos(theta) =1.
Express the torque as a function of theta and other parameters of the problem. In this context, the torque will be a 1D vector; therefore, your equation must correctly express the relationship between the direction of torque and the direction of ant other 1D vectors within your equation.
Hints:
Deflecting the rod will stretch or compress the spring by a length L. The spring will react with a restoring force given by Hooke's law: F=-kL. What is L? Remember that the angle theta is assumed to be so small that sin(theta) = theta. express in terms of L and theta.
The torque τ about a point is defined as the product of the force F acting on a body times the moment arm (perpendicular distance d from the line of action of the force to the center point): T = Fd. What is d for the given situation? Remember that the angle θ is assumed to be so small that cos(θ)≈1.
Therefore, the frequency of oscillation when the spring is connected 1/5 of the way from the pivot to the end of the rod is approximately 1.34 Hz.
How to solveSince the rod is thin and uniform, its moment of inertia about the pivot point can be approximated as:
I = (1/3)ML^2
When the spring is connected 1/5 of the way from the pivot to the end of the rod, the effective length of the rod becomes:
l_eff = l/5 + (4/5)(l/2) = 9l/10
So, the frequency of oscillation is: 8.42 rad (after calculations)
The frequency of oscillation when the spring is connected 1/5 of the way from the pivot to the end of the rod is approximately 1.34 Hz.
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You need to load a crate of mass m onto the bed of a truckon earth. One possibility is just to lift the crate straight up over a height h, equal to height of the truck's bed. Theforce exert in this case is F1 and the work done in this case is W1. The other possibility is to slide the crate up the frictionless ramp of length L.. In this case you exert force F2 and perform work W2. Which statement is true?
a. F1 > F2 and W1 > W2
b. F1 = F2 and W1 > W2
c. F1 = F2 and W1 = W2
d. F1 > F2 and W1< W2
e. F1 > F2 and W1 = W2
Answer:
The correct answer is - option E. e. F1 > F2 and W1 = W2
Explanation:
Case 1 - F1 = mg, m= mass and g = gravitational force
Work done W1 = F1h= mgh (h - height of bed of truck)
Case 2 - F2 = mgsinθ
work done W2 = mgsinθ×L (L=length of ramp ans sin θ angle of ramp)
sinθ = h/l, then W2 = mg(h/L)L
W2 = mgh
By comparing both,
F2 = mgsinθ and F1 = mg therefore,
F2>F1
now, W2 = mgh, and W1 = mgh
therefore, W2 = W1.
Which phrase describes a scientific law?
A. A statement that matter cannot be created or destroyed
B. A claim that experiments cannot verify whether matter has been
destroyed
O C. An explanation for why matter cannot be created or destroyed
D. A prediction of how much matter exists in the universe
SUBMIT
In
Answer:
C- An explanation for why matter cannot be created or destroyed
Explanation:
Answer: A. A statement that matter cannot be created or destroyed.
Explanation:
Apex