A square metal plate 0.180 m on each side is pivoted about an axis through point O at its center and perpendicular to the plate. (See the figure below (Figure 1) .)

Calculate the net torque about this axis due to the three forces shown in the figure if the magnitudes of the forces are F1 = 17.0 N, F2 = 27.0 N, and F3 = 13.0 N. The plate and all forces are in the plane of the page. (N.m)

the answer 1.73 is incorrect

Answers

Answer 1

The net torque to that axis due to three forces is 2.554 Nm.

How to calculate the net torque?

[tex]F_1[/tex] = forces 1 = 17 N

[tex]F_2[/tex] = forces 2 = 27 N

[tex]F_3[/tex] = forces 3 = 13 N

α = side of metal plate = 0.18 m

Net torque can be calculated by multiple the forces by distance. For the question, the  [tex]F_1[/tex] will be negative because the forces of [tex]F_3[/tex] will move the square metal plate to that side.

Net torque = [tex]-F_1\frac{a}{2} + F_2\frac{a}{2} + F_3 sin(45)\frac{a}{2} + F_3 cos(45)\frac{a}{2}[/tex]

= [tex]-17\frac{0.18}{2} + 27\frac{0.18}{2} + 13sin(45)\frac{0.18}{2} + 13 cos(45)\frac{0.18}{2}[/tex]

= -1.53 + 2.43 + 0.827 + 0.827

= 2.554 Nm.

Thus, the net torque for that three forces shown in the figure is 2.554 Nm.

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A Square Metal Plate 0.180 M On Each Side Is Pivoted About An Axis Through Point O At Its Center And

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a conducting rod is free to slide along a pair of conducting rails, in a region where a uniform and constant (in time) magnetic field is directed into the plane of the paper, as the drawing illustrates. initially the rod is at rest. there is no friction between the rails and the rod. what to the rod after the switch is closed? if any induced emf develops, be sure to account for its effect. ignore air resistance.

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A displacement how an object or particle experiences with regard to time is expressed vectorially as velocity.One meter / second (m/s) is the accepted unit of flow speed (also known as speed).

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projectile a is launched horizontally at a speed of 20 meters per second from the top of a cliff and strikes a level surface below, 3 seconds later. projectile b is launched horizontally from the same location at a speed of 30 meters per second. approximately how high is the cliff?

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Because the electrons travel more quickly under pressure and have more kinetic energy, they eventually leap into a broader orbit. The energy that was previously held in every electron will transform into potential energy.

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How do you find the missing angles when a transversal cuts through parallel lines?

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To find the missing angles when a transversal cuts through parallel lines, use the properties of parallel lines and the corresponding angles formed when they are cut by a transversal. The angles will always add up to 180°.

To find the missing angles when a transversal cuts through parallel lines, you can use the properties of parallel lines and the corresponding angles formed when they are cut by a transversal. When a transversal cuts through two parallel lines, corresponding angles are equal, alternate angles are equal and consecutive angles are supplementary, meaning they add up to 180°. You can use these properties to calculate the missing angles. For example, if you know one angle and its corresponding angle are equal, you can use that information to calculate the other missing angles. You can also use the fact that alternate angles are equal and consecutive angles are supplementary to calculate the missing angles. Once you have all the angles, you can verify your answer by making sure that all of the angles add up to 180°.

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A 45 kg mass is dragged 50 m over a surface. If 1.0 kW of power is produced over 10 seconds,
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Answers

Answer:

Approximately [tex]0.45[/tex] (assuming that the surface is level, the mass is moving at constant velocity, and that [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex].)

Explanation:

With a power of [tex]P = 1.0\; {\rm kW} = 1.0\times 10^{3} \; {\rm W}[/tex], the work that would be done over [tex]t = 10\; {\rm s}[/tex] would be:

[tex]\begin{aligned}(\text{work}) &= (\text{power})\, (\text{time}) \\ &= (1.0\times 10^{3}\; {\rm W})\, (10\; {\rm s}) \\ &= 1.0 \times 10^{4}\; {\rm J}\end{aligned}[/tex].

Divide work by distance to find the force that did the work:

[tex]\begin{aligned} (\text{force}) &= \frac{(\text{work})}{(\text{distance})} \\ &= \frac{1.0\times 10^{4}\; {\rm J}}{50\; {\rm m}} \\ &= 200\; {\rm N}\end{aligned}[/tex].

If this mass is moving at a constant velocity, the magnitude of friction on this mass will be equal to that of the external force, [tex]200\; {\rm N}[/tex].

If the surface is level, the magnitude of the normal force on this mass will be equal to that of weight:

[tex]\begin{aligned}(\text{weight}) &= (\text{mass})\, g \\ &= (45\; {\rm kg})\, (9.81\; {\rm N\cdot kg^{-2}}) \\ &\approx 4.41 \times 10^{3}\; {\rm N}\end{aligned}[/tex].

Divide the magnitude of friction by normal force to find the coefficient of friction:

[tex]\begin{aligned}& (\text{coefficient of friction}) \\ =\; & \frac{(\text{friction})}{(\text{normal force})} \\ \approx\; & \frac{200\; {\rm N}}{(45\; {\rm kg})\, (9.81\; {\rm N\cdot kg^{-1}}))} \\ \approx \; & 0.45\end{aligned}[/tex].

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The the velocity which the water flow out of the tank  is  29.698 m/s

What is Bernoulli's principle?

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  =  √(2×9.8(50-5))

 =  29.698 m/s

Therefore the velocity which the water flow out of the tank  is  29.698 m/s

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Answer:

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Explanation:

Executive agreements differ from formal treaties in that they 1) have been ruled unconstitutional by the U.S. Supreme Court. 2) must be approved by the U.S. Supreme Court but not by Congress. 3) do not have to be approved by the Senate 4) do not have to be approved by the House. generally formulated at 5) meetings of the United Nations. are Question 12 (1 point) The President can influence the legislative process through 1) communicating with the American public 2) leading his/her political party. 3) reporting on the State of the Union. 4) all of the above.

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Executive agreements differ from formal treaties in that they 1) have been ruled unconstitutional by the U.S. Supreme Court. meetings of the United Nations. Option 5

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Presidents have routinely negotiated international accords on behalf of the United States without the Senate's advise or assent in recent decades. We refer to these as "executive agreements." Executive agreements are still enforceable in accordance with international law even when they are not submitted to the Senate for approval.

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The normal force decreases as the angle of the incline increases, which reduces the frictional force.

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the pull of the Earth on the Sun would double.
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Answers

Option C; If the Sun were twice as massive the pull of the Earth on the Sun would double.

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A car travels with tangential speed V1 around curve of radius and turns to the left; as shown by the rear view of the car in Figure A force diagram of the forces exerted on the car with speed of 5 m/s as it turns is shown in Figure 2. force diagram of the forces exerted on the car with speed as it turns around the same curve of the same radius with the same tangential speed is shown in Figure 3. The speed of the car is most nearly

Answers

The speed of the car from the given three figures is most nearly 15 m/s.

How to calculate the speed of the car?

For figure 2,

we know the exerted force speed is 5 m/s, so frictional force is

[tex]F_f[/tex] = [tex]\frac{Mv^2}{\gamma}[/tex]

= [tex]\frac{M(5)^2}{\gamma}[/tex]

For figure 3,

we know the frictional force is 9. So,

9 [tex]F_f[/tex] = [tex]\frac{Mv^2}{\gamma}[/tex]

Then using two figures we can calculate the speed of the car.

equation figure 3 / equation figure 2

=> 9 = v^2 / (5)^2

=> v^2 = 9*(5^2)

=> v^2 = 225

=> v = 15 m/s

Thus, the speed of the car is 15 m/s.

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a 20 kilogram ball rolls down a ramp and accelerates at a rate of 12 m/s per second. what is the net force acting on the ball?

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The net force acting on the ball is 240 Newtons.

We know that force applied at a particular instant is equal to the mass of the particle (or object ) times the acceleration of the particle at that particular instant.  

Also, force is defined as the rate of change of momentum of a particle at that instant.

But in this problem we have to use force on the particle at the instant is equal to the mass of the particle times the acceleration of the particle at that instant.

So, we have been given the mass of the particle as 20 kg and the acceleration of the particle as 12 m/s² .

So-net force on particle = 20*12 =240 Newtons.

Hence, the net force on the ball is equal to 240 Newtons.

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The building that stands at 1,776 feet tall in a nod to the Declaration of Independence is the One World Trade Center in New York City.

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What are examples of genetic risk factors?

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Risk Genetic a medical condition that affects one or more of your immediate relatives. having a family member who was diagnosed with a disease at a young age (typically before age 55).

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CONVERT A COAL PRICE OF $90/TON TO $/MMBTU, ASSUMING A HEAT CONTENT OF 7,000 BTU PER POUND
A: $3.00/MMBtu
B: $34.50/MMBtu
C; $2.80/MMBtu
D: $6.42/MMBtu
E: $3.46/MMBtu

Answers

The coal price of $90/ton with a heat content of 7000 BTU per pound is D: $6.42/MMBtu.

The formula to calculat mmbtu from tons is as follows -

Price per mmbtu = price per ton × 500/ BTU per pound

Keep the values in formula to find the price per mmbtu

Price per mmbtu = (90×500)/7000

Performing multiplication in numerator on Right Hand Side of the equation

Price per mmbtu = 45000/7000

Performing division on Right Hand Side of the equation to find the price per mmbtu for coal

Price per mmbtu = $6.42/mmbtu

Thus, the correct option is D: $6.42/MMBtu.

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a potato falling vertically downward is struck by a dart that is traveling vertically upward, as shown above. the dart and potato then collide, stick together, and continue moving after the collision. question consider the dart-potato system. which of the following graphs best represents the speed v of the center-of-mass of the dart-potato system, as a function of time t, before, during, and after the collision?

Answers

The graph representing a line with constant slope increasing represents the relation between speed and time of the dart-potato system.

Increasing slope represents that the slope is positive and as the quantity on x- axis increases, the quantity on y-axis also increases.

Momentum is said to be conserved before and after collision in a two-object system. Here, the two objects are said to be dart and potato. The potato and dart after collision are said to move by sticking together after the collision.

The potato-dart system is said to be moving with increasing velocity after the collision. The speed of the potato-dart system is given as v.

The question is incomplete. The speed v of the centre of mass of the dart-potato system, as a function of time t, before, during, and after the collision is represented by the graph attached below.

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Explain the characteristics of galaxies and galaxy
clusters.

Answers

Answer:

Some of the key characteristics of galaxies and galaxy clusters include their size, shape, and structure. Galaxies and galaxy clusters are also distinguished by the presence of dark matter, a mysterious substance that is thought to make up most of the mass in the universe. Additionally, galaxies and galaxy clusters are important sites for the formation and evolution of stars and other celestial objects.

Explanation:

Galaxies are vast collections of stars, gas, and dust that are held together by gravity. They come in a variety of shapes and sizes, ranging from small, irregular galaxies to large spiral galaxies with well-defined arms. Galaxies also contain a central region known as the nucleus, which may be home to a supermassive black hole.

Galaxy clusters are groups of galaxies that are held together by gravity. They are the largest structures in the universe, and they can contain hundreds or even thousands of individual galaxies. Galaxy clusters are typically separated by vast distances, and they are bound together by the mutual gravitational attraction of their constituent galaxies.

What it means gains momentum ?​

Answers

Answer:

to move faster

Explanation:

momentum, product of the mass of a particle and its velocityit has both magnitude and direction. Isaac Newton's second law of motion states that the time rate of change of momentum is equal to the force acting on the particle. See Newton's laws of motion.

Answer:

gaining speed

Explanation:

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Answers

Solar energy is harnessed using three basic technologies: photovoltaics (PV), which directly converts light to electricity; solar thermal energy; and solar thermal energy.

Concentrating solar power (CSP), which uses solar thermal energy to power utility-scale electric turbines; and solar heating and cooling (SHC) systems The photovoltaic effect, or photovoltaics, is the method of directly generating energy from solar radiation. Photovoltaics is probably the most well-known method of harnessing solar energy today. Photovoltaics (PV) and concentrated solar-thermal power are the two main forms of solar energy technology (CSP). the first commercially feasible perovskite solar cells, which can be produced at room temperature and use less energy than silicon-based solar cells.

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what must you do to keep it in focus? what must you do to keep it in focus? increase the f -stop value. move the lens away from the sensor or film. decrease the f -stop value. move the lens closer to the sensor or film. none of the above.

Answers

C) Move the lens closer to the sensor or the film . Option (c) is the right           answer.

Assume that we are trying to take a picture or photograph of a moving object

as we know, the f-stop value tells us about the color of the image. That means it actually depicts that how dark is the image. would be. in simple words, it determines the amount of light that will be able to enter to the eye. Therefore, option a,b are incorrect.

Now the focus length of the camera is always fixed. Now let our object is moving away from the lens, then to keep it in focus, the camera must be moved closer to the object. This step is essential to keep focal length constant.

Hence, the correct option is (c).

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the sound intensity levels for a machine shop and a quiet library are 85 db and 40 db, respectively. what is the difference between the intensity of the sound in the machine shop and that in the library?

Answers

A point's sound intensity level is expressed in logarithmic units of decibels (dB) as a ratio between the sound there and the threshold of hearing.

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FILL IN THE BLANK __________ is the macronutrient bacteria feed on i the mouth, resulting in dental carries. What's the meaning of commandments? When the Queen gave her speech to the troops at Tilbury they were waiting on a possible invasion by what? What causes a point mutation? What is the slope of 3 and 8? The sales price for a sweater was $21. The sweater was 40% off. What was the originalprice of the sweater? Which example best illustrates judicial checks and balances created by the constitution?. What does Scope 2 emissions mean? Describe the leadership of Adolf Hitler and Germany during the time of World War II write the code to declare and initialize a one-dimensional array of 10 items. each element is assigned a random integer within a range based on its index. example: For index 0, assign a random integer from 0 to 99, inclusive For index 1, assign a random integer from 100 to 199, inclusive For index 2, assign a random integer from 200 to 299, inclusive (and so on...) (round to tenth) 1. How much power is required to do 40.3 J of work on an object in 5.5 seconds? Genre Response Prompt and DirectionsChoose one text from the unit and explain why it is the strongest example of the genre. Explain why using at least three poetic devices from the list below. Why snails can change gender? anja simplified the expression startfraction 10 x superscript negative 5 baseline over negative 5 x superscript 10 baseline endfraction to startfraction 15 over x superscript 15 baseline endfraction. what mistake did anja make? provide a multi step synthesis to create the intended product for the listed original reactant the number of steps are provided PNQ has vertices P(2,5), N(-3,-1), and Q(4,0)The following transformation will be applied: (x, y) > (x + 5, y + 6)A. Write the translation in words:________________________For each point, determine the new image point.P (2,5) > P (______)N (-3,-1) > N (______)Q (4,0) > Q (______)WILL GIVE BRAINLIEST IF CORRECT!! If ABC = DEC, DCE = 55, CDE = 65, and ABC = 2x List the significant events of the Electron Transport Chain. Include which reactants and products are involved. Highlight what will be released as a product. Be sure to include where the process occurs in the mitochondria. Solve the formula c=pid for d How many St Francis are there?