Answer:
(a) What is the wavelength of the whale's echolocation wave?
The horizontal beam is supported by member DE and a uniform distributed load is applied as shown. Determine the internal loading at the location marked by the red line.
At the location marked by the red line, the total internal loading is -4 kN of shear force and 8 kNm of the moment.
The internal loading due to the support at the wall can be determined using the equation for the shear force (V) and the moment (M) at any point along the beam:
V = -wL/2 = -4*6/2 = -12 kN
M = 0 kNm
Next, we will determine the internal loading due to the uniform distributed load. The shear force (V) and the moment (M) at any point along the beam due to the uniform distributed load can be determined using the following equations:
V = wx = 42 = 8 kN
M = (wx)(x/2) = (42)(2/2) = 8 kNm
Finally, we will add the internal loading due to the support at the wall and the uniform distributed load to find the total internal loading at the location marked by the red line:
V_total = V_support + V_load = -12 + 8 = -4 kN
M_total = M_support + M_load = 0 + 8 = 8 kNm
So at the location marked by the red line, the total internal loading is -4 kN of shear force and 8 kNm of moment.
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The complete question is:
A horizontal beam of length L = 6 m is supported by a wall at one end and a uniform distributed load of w = 4 kN/m is applied to the beam along its entire length. The internal loading at the location marked by the red line, which is located at a distance x = 2 m from the left end of the beam, needs to be determined.
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a small solid sphere is released from rest at the top of an inclined plane as shown. the sphere rolls down without slipping and reaches the bottom of the plane. how would the angular momentum of the sphere at the bottom of the plane change if the coefficient of static friction between the sphere and the plane were increased?
The angular momentum of the solid sphere would remain the same because the net torque would remain the same.
What is angular momentum?The attribute of any rotating object determined by the product of the moment of inertia and the angular velocity is known as angular momentum. It is a characteristic of rotating bodies determined by the sum of their moment of inertia and angular velocity.
What does motion's angular momentum mean?A body's rotational inertia and rotational velocity (measured in radians/sec) about a specific axis are combined to form angular momentum, which is a vector quantity (or more correctly, a pseudovector).
What does the vector form of angular momentum mean?An object's angular momentum is calculated by multiplying its moment of inertia by its rotating object's rotational velocity. A body's angular momentum has a magnitude and a direction. It is therefore a vector quantity. The letter "L" stands for it.
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The electric potential in a region of space is V=350Vm/√x2+y2?, where x and y are in meters.What is the strength of the electric field at (x, y) = (2.3m, 2.9m)? Express your answer using two significant figures. E = ...?What is the direction of the electric field at (x, y) = (2.3m, 2.9m)? Give the direction as an angle ccw from the positive cc-axis. Express your answer using two significant figures.θ = ...?
The direction of the electric field at (x,y) is 56.3.
What is electric field?An electric field is a force field that surrounds electric charges, and can exert a force on other charges placed within the field. It is represented by lines of force, and the strength of the field is determined by the amount of charge present and the distance from the charge. Electric fields can be created by stationary charges, moving charges, and changing magnetic fields.
The strength of the electric field at (x, y) = (2.3m, 2.9m) can be found by taking the negative gradient of the electric potential:
E = -grad V = -(dV/dx, dV/dy)
= -(d(350Vm/√x^2+y^2)/dx, d(350Vm/√x^2+y^2)/dy)
By using the chain rule we can find the derivative of the expression:
E = -(d(350Vm/√x^2+y^2)/dx, d(350Vm/√x^2+y^2)/dy) = -( -350Vm/√x^2+y^2 * (x/√x^2+y^2), -350Vm/√x^2+y^2 * (y/√x^2+y^2))
substitute the values:
E = -(-350Vm/√(2.3^2 + 2.9^2)(2.3/√(2.3^2 + 2.9^2)), -350Vm/√(2.3^2 + 2.9^2)(2.9/√(2.3^2 + 2.9^2)))
= (276.8 V/m, 340.9 V/m)
The direction of the electric field at (x, y) = (2.3m, 2.9m) can be found by taking the inverse tangent of the y-component of the electric field divided by the x-component:
θ = atan(Ey/Ex) = atan(340.9 V/m / 276.8 V/m) = 56.3° (ccw from the positive x-axis)
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if i have two objects that repel each other by the electric force and i double the distance between the two objects, how can i make the force the same as it was originally?
The square of the distance between the two charges has an inverse relationship with the force's size. Therefore, the attraction or repulsion weakens if the distance between the two charges is doubled.
What happens to the force if the distance between the objects is doubled?
Therefore, the gravitational attraction between two things weakens as they become farther apart. If there is a twofold increase in the space between two objects (increased by a factor of 2).
If the charges of both objects are doubled, what happens to the electric force?
Explanation: Each object's charge has a direct impact on electrostatic force. The force will therefore increase four times if the charge on both objects is doubled.
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A bullet traveling horizontally losses 1/20th of its velocity while penetrating a wooden plank, how many sucj planks are required to stop the bullet?
Explanation:
if it is just defined as geometric sequence
an = an-1 × 0.8
then infinitely many. that way we will never reach 0 velocity. the sequence will go on in all eternity with the next velocity being 80% of the previous velocity. and 80% of that. and so on.
it will get closer and closer to 0 but never reach it.
under normal (natural, physical) circumstances we need a stop criteria, like the minimum velocity for a bullet to penetrate such a plank.
once we have that, we can calculate (initial velocity × 0.8^n < minimum velocity) after how many planks (n) the bullet reaches that velocity. and that gives us the number.
if and objent with the mass to 100 kg and the lenght of 3.8 meters, a person weight 50 kg walks to the front to the boat how far did the boat travel
m = the object's mass; g = the local gravity (for example, the standard planet acceleration or f 0 = 9.80665ms-2) Weight of the Object. Enter the object's mass in this field.
What does Earth's gravity on average weigh?
gravitation on Earth. According to Newton's universal laws of gravitation, the gravitational force on Earth is the result (vector sum) of 2 factors: (a) the gravitational pull and (b) the gravitational forces.
Describe zero gravity.
all videos related to this post A description of gravity with an emphasis on zero gravity In mechanics, gravity—also known as gravitation—is the constant force of attraction that pulls all things together. By far, it is the
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ampacity is an invisible force that can produce heat, motion, light, and many other physical effects.T/F
False. Ampacity is a measure of the maximum amount of electrical current a conductor or device can safely carry.
What is Ampacity?Ampacity is the maximum current a conductor or wire can handle without sustaining damage or significantly reducing its longevity. It is expressed in amperes, and is determined by the material composition, size, and temperature of the conductor. Electrical installations must adhere to the ampacity of the conductor to ensure that it does not exceed the maximum safe current. This is important to preventing dangerous electrical shorts and fires. The ampacity of any conductor should be verified using the appropriate industry standards or codes, such as the National Electrical Code.
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a motor develops 56,000 watts of power when its shaft turns at 300 rad/s. what is the torque on the shaft? group of answer choices it depends on the shaft diameter. 187 n-m. 30 n-m. 17,000 n-m.
group of answer choices it depends on the shaft diameter. 187 n-m. 30 n-m. 17,000 n-m.
According to the problem: The torque on the shaft is 17,000 N-m.
What is torque?Torque is a measure of rotational or twisting force on an object. It is the product of a force applied to an object and the distance, or lever arm, between the point of application of the force and the axis of rotation. Torque is a vector quantity, meaning it has both magnitude and direction. Mathematically, torque is represented as the cross product of the lever arm vector and the force vector. Torque is generated when a force is applied perpendicular to the lever arm, resulting in a rotational motion. This is most commonly observed when a force is applied to a wrench or screwdriver when tightening a bolt.
This is calculated using the equation Power = (2π x Torque x Speed) / 60, where Power is in Watts,
Torque is in N-m, and Speed is in Radians per second.
Rearranging the equation gives Torque = (Power x 60) / (2π x Speed).
Substituting the given values yields Torque = (56,000 x 60) / (2π x 300), which is equal to 17,000 N-m.
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Two identical metal spheres a and b are in contact. both are initially neutral. 1.0×10^12 electrons are added to sphere A, then the two spheres are separated. you may want to review ( pages 639 - 641) .
Part A
Afterward, what is the charge of sphere A?
Express your answer to two significant figures and include the appropriate units.
Part B
Afterward, what is the charge of sphere B?
Express your answer to two significant figures and include the appropriate units.
After 1.0 x 10¹² electrons are added to sphere A, the charge of sphere A will be -1.0 x 10¹² Coulombs (C).Since the two spheres were in contact and both were initially neutral, when 1.0 x 10¹² electrons are added to sphere A, an equal number of electrons will be transferred to sphere B. Therefore, the charge of sphere B will be 1.0 x 10¹² Coulombs (C).
When two neutral metal spheres are in contact, electrons can flow freely between them until they reach a state of equilibrium, meaning that there is no net flow of electrons between the spheres.
In the given scenario, 1.0 x 10¹² electrons are added to sphere A. According to the conservation of charge, the net charge of a closed system must remain constant. Therefore, since electrons have been added to sphere A, an equal number of electrons must be removed from sphere A in order to maintain a neutral charge.
In this case, since the two spheres are in contact, the electrons that are removed from sphere A will flow to sphere B. Therefore, sphere B will gain 1.0 x 10¹² electrons, and sphere A will lose 1.0 x 10¹² electrons. This means that sphere A will now have a charge of -1.0 x 10¹² Coulombs (C) and sphere B will have a charge of 1.0 x 10¹² Coulombs (C).
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a 750 pound motorcycle is headed up a hill inclined at 15 degrees. what force is required to keep the motorcycle from rolling back down the hill when stopped at a red light
The force required to keep the motorcycle from rolling back down the hill when stopped at a red light is 260 newtons.
Calculation-To calculate this force, we can use the following equation:
friction force = friction coefficient * normal force
where,
friction coefficient = coefficient of static friction between the tires and the road surface
normal force = perpendicular force exerted on the object by the surface it is in contact with (in this case, the road surface)
The normal force can be calculated using the following equation:
normal force = weight * cos(theta)
where,
weight = 750 pounds (converted to newtons)
theta = angle of incline (15 degrees)
First, convert 750 pounds to newtons by multiplying it by 4.448
The angle of incline should be converted to radians before being used in the equation:normal force = weight * cos(15 degrees) = 337.5 * cos(0.2618) = 337.5 * 0.9659 = 325.2 newtons
Then the friction force = friction coefficient * normal force = 0.8 * 325.2 = 260 newtons
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humid air breaks down (its molecules become ionized) in an electric field of 3.0 106 n/c. in that field, what is the magnitude of the electrostatic force on (a) an electron and (b) an ion with a single electron missing?
The magnitude of the electrostatic force on an electron and in an ion is 4.8 x 10^-13 N .
What is electrostatic force?The attraction or repulsion between two charged particles is known as the electrostatic force.
(a) In an electric field of 3.0 x 10^6 N/C, the magnitude of the electrostatic force on an electron is given by the equation:
F = qE
where F is the force, q is the charge of the electron (which is -1.6 x 10^-19 C), and E is the electric field. Plugging in the values, we get:
F = (1.6 x 10^-19 C) x (3.0 x 10^6 N/C) = 4.8 x 10^-13 N
(b) For an ion with a single electron missing, the magnitude of the electrostatic force on the ion is given by the equation:
F = qE
Where F is the force, q is the charge of the ion (which is +1.6 x 10^-19 C) and E is the electric field.
Plugging in the values, we get:
F = (1.6 x 10^-19 C) x (3.0 x 10^6 N/C) = 4.8 x 10^-13 N
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A 57.5-kg skateboarder starts out with a speed of 1.95 m/s. He does 80.0 J of work on himself by pushing with his feet against the ground. In addition, friction does -265 J of work on him. In both cases, the forces doing the work are nonconservative. The final speed of the skateboarder is 6.20 m/s.
The work done by the friction force is negative because it acts in the opposite direction of the motion. The net work done on the skateboarder is 80.0 J + (-265 J) = -185 J. The change in kinetic energy of the skateboarder is equal to the net work done on him, so the final kinetic energy is 1/2 * 57.5 kg * 6.20 m/s^2 = 1841.75 J.
What is friction force ?Friction is a force that opposes motion between two surfaces that are in contact. Friction force is caused by the interaction of the atoms and molecules on the surface of the two objects. Friction can be either static or kinetic. Static friction is the force that opposes to start motion between two surfaces that are in contact and kinetic friction is the force that opposes motion between two surfaces that are already moving relative to each other. The amount of friction depends on the materials that the two surfaces are made of and the force pressing the two surfaces together. The coefficient of friction is a number that is used to describe the amount of friction between two surfaces. A higher coefficient of friction means that there is more friction between the two surfaces.
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what method would astronomers use to find the distance to a galaxy (or quasar) so far away that individual stars are impossible to make out (resolve)?
By calculating the distortion of those galaxies and then using Doppler's formula to convert the redshift to a recession velocity, one can determine the distances to the universe's most distant objects.
How would scientists determine the distance to either a galaxy that is so far enough that it is impossible to measure the distance to individual stars?A galaxy's hue and surface brightness irregularities (SBF, for short) can be used by astronomers to determine a galaxy's distance from Earth. When measured in this way, most galaxies are thousands of light years from us.
Why is the distance ladder used to describe methods for calculating galaxies' distances?The reason it is called a ladder is because each level or measurement system depends on the one before it The more journeys astronomers took to get there, the larger the distance that has been measured. The sole "direct" approach available to astronomers to gauge distance outside the Planetary System is stellar parallax.
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a 1,500 kg satellite is in orbit around Earth at a distance of 1 Earth radius above the surface. Earth's mass is 5.97 x 10 ^24 kg, and its radius is 6.37 x 10^6 m
Calculate the magnitude of the gravitational force acting on the satellite.
The magnitude of the gravitational force acting on the satellite is 14,720.2 N.
What is the gravitational force acting on the satellite?
The gravitational force acting on the satellite is calculated by applying Newton's law of universal gravitation as follows.
Mathematically, the formula for the Newton's law of universal gravitation is given as;
Fg = ( Gm₁m₂ ) / ( r² )
where;
G is universal gravitation constantm₁ is mass of Earthm₂ is the mass of the satelliter is the distance between themFg = ( 6.67 x 10⁻¹¹ x 5.97 x 10²⁴ x 1500 ) / ( 6.37 x 10⁶ )²
Fg = 14,720.2 N
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in the use of coal to produce energy, which does not decrease the energy efficiency of the process? * 1 point extracting the coal from the ground waste heat cogeneration energy required to build the power plant
the power efficiency of the procedure when using coal to produce energy extracting the coal again from earth gasification energy required to construct the power plant.
What kind of coal burns with the greatest amount of thermal energy released?Lignite has the minimum energy output of all coal grades and contains 25%–35% carbon. Lignite coal deposits are frequently rather recent and have not been subjected to high temperatures or pressures. Due to its high moisture content and brittle nature, lignite has a low heating value.
Which of the aforementioned Macq sources has the highest energy production?The Urban Local Organizations of the individual cities are to carry out the program. The MNRE/GOI approved the construction of Faridabad and Dwarka as Solar Cities with its sanction dated 25.6.09, at an estimated Photovoltaic solar energy in particular is gaining popularity.
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kepler's three statements and newton's equation for gravitational attraction are called laws. where they ever theories? will they ever become theories
The three propositions of Kepler laws and Manning's equation explaining gravitational attraction are referred to as No A scientific principle is a declaration of events that have been repeatedly observed.
How do Newton's hypothesis of gravity connect to Kepler's laws?Newton applied Kepler's first law to the two-body dilemma to find his answer. He reasoned that a moving body's orbit must have a conic section because it moves when it is affected by the gravitational pull of another body. Elliptical orbits are seen on planets, satellites, and asteroids.
What are the three fundamental laws of gravitation?Laws refer to assertions and Brady's equation for gravitational attraction. theories, where they ever Are they ever going to be theories? If one of the objects' masses is increased, then the The gravitational pull between them is quadrupled. If one of the items triples in mass, the gravitational pull between them will also triple. The gravity force that exists on two objects is multiplied by two when their masses are each doubled, and so on.
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a student in track and field is running a hurdles race. the hurdles are 91.4 cm tall. the student is running with a horizontal velocity of 4.00 m/s and leaps with a vertical velocity of 9.00 m/s. if the student makes this leap 0.400 m before the hurdle, will they clear the hurdle? if they clear the hurdle, how much do they clear the hurdle by? if they do not clear the hurdle, what could they do to have a higher jump?
No, they will not be able to clear the hurdle from the given distance of their leap.
What are the projectile motion?
Projectile motion includes vertical and horizontal velocity components. It's important to understand that the two are independent of each other. But what is a projectile and what is a good example. Well, a projectile is an object that is thrown by applying a force that falls under gravity and is subject to the resistance of the medium in which it travels. It can be thrown into the air and fall under the influence of gravity.
First of all the time required to reach the hurdle is:
by using horizontal velocity we have time =
t = 0.100s
Now for the vertical distance covered by student:
S = ut + gt²
S = 9 × 0.100 + 9.8 × 0.100²
S = 0.851m or 85.1cm
Since the distance calculated is less than the height of hurdles which is 91.4 cm so the student may not be able to clear the hurdle.
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What is one reason why this graph demonstrates that the component being tested is a diode.
The one reason why this graph demonstrates that the component being tested is a diode is because the high current depicted is in only one direction.
What is a Diode?This is referred to as an electrical component that allows the flow of current in only one direction and it consists of specialized electronic component with two electrodes called the anode and the cathode.
From the graph, the current is in only one direction which is a major feature or characteristic of a diode and is therefore the reason why it was chosen as the correct choice in this scenario.
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The figure shows four vectors A, B, C and D, having magnitudes 10.0 m, 8.00 m, 6.00 m, and 2.00 m, respectively. Find the magnitude of the sum of these four vectors.
The magnitude of the sum of these four vectors is 14.42 m.
What is the magnitude of the sum of the vectors?
The magnitude of the sum of the vectors is calculated as follows.
v = √ (vx² + vy² )
where;
vx is the sum of the horizontal component of the vectorvy is the sum of the vertical component of the vectorThe sum of the horizontal component of the vector is calculated as follows;
vx = A cos (30 ) + B cos ( 90 ) - C cos ( 30 ) + D cos ( 90 )
vx = 10 cos ( 30 ) + 8 cos ( 90 ) - 6 cos (30) + 2 cos ( 90 )
vx = 8.66 + 0 - 5.2 + 0
vx = 3.46 m
The sum of the vertical component of the vector is calculated as follows;
vy = A sin (30 ) + B sin ( 90 ) + C sin ( 30 ) - D sin ( 90 )
vy = 10 sin ( 30 ) + 8 sin ( 90 ) + 6 sin (30) - 2 sin ( 90 )
vy = 5 + 8 + 3 - 2
vy = 14 m
The resultant of the vectors is calculated as;
v = √ ( 3.46² + 14² )
v = 14.42 m
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According to Table 1, which of the following materials is the best electrical conductor? Brass Copper Aluminum Nichrome
The resistivity of copper is less than the other materials. Copper is the best electrical conductor. Option (2) is correct.
The resistance is given by:
R = (ρL)/A
Let's assume the value of length (L) and area(A) is the same for all the given materials.
The resistance is directly proportional to the resistivity, therefore the more the resistivity the more resistance and less the good conductor.
The resistivity of copper is 1.724 x10⁻⁸
The resistivity of brass is 7.1 x 10⁻⁸
The resistivity of aluminum is 2.65 x 10⁻⁸
The resistivity of nichrome is 150 x 10⁻⁸
Hence, the resistivity of copper is less than the other materials. Copper is the best electrical conductor. Option (2) is correct.
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If a car weighs 1500 kg and is traveling at 40 m/s, how much kinetic energy does it have?
Answer:
KE = (1/2)mv^(2) = (1/2)1500(7^(2)) = 36750J
Explanation:
To determine the kinetic energy of the car, we need to use the formula for kinetic energy. The formula is KE=(1/2)mv^(2) where m is the mass of the object (in kg) and v is the speed of the object (in meters per second, which is often written as (m/s)).
In the case we are looking at, our object is the car, the mass, m = 1500kg and the speed, v = 7m/s. Plugging these values into the formula for kinetic energy and using our calculator we get the following:
KE = (1/2)mv^(2) = (1/2)1500(7^(2)) = 36750J
a 100 n force is applied to a 15 kg box causing the box to move a horizontal distance of 5 m at a constant velocity. what is the work that is done by this force?
The work done by the force applied on the box which has a mass of 15 kg is 500 Nm
The mass of the box = 15 kg
The force applied on the box = 100 N
The horizontal distance by the box = 5 m
The work done by the force applied on the box can be found using the formula,
W = F x d
where W is the work done
F is the force applied to the box
d is the distance moved by the box
Let us substitute the known values in the above equation, we get
W = 100 x 5
= 500 Nm
Therefore, the work is done by the force applied to the box.
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A wooden block is attached to a magnet, which allows it to hover over another magnet placed on a table. If we add weight to the wooden block, will the height of the wooden block be lower than before, or will the wooden block stay at the same height above the table?
Explanation:
I assume the polls of the 2 magnets are +/+ and -/- aligned, so that both magnets repel each other.
when we add weight, it will be lower, as more weight (more pressure, more power) forces the magnets to get closer, as their repelling force is constant per distance.
what is wrong when you see the reflectors on the highway brightly shining with your regular beam headlight on?
The headlights may need to be adjusted or there may be an issue with the alignment of the vehicle.
Are the reflectors on the highway clean and free of debris?It is important to ensure that the reflectors on the highway are clean and free of debris as this can affect their ability to reflect light. If there is dirt, grime, or other debris on the reflectors, they may appear dimmer or not reflect light at all, making it harder for drivers to see them. It is important to regularly maintain and clean the reflectors to ensure they are functioning properly. This can be done by highway maintenance crews or through regular clean-up efforts by local communities. Additionally, if you see any debris on the reflectors, it's important to report it to the proper authorities.
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The bar magnet is pushed toward the center of a wire loop. Which is true?
a) There is a counterclockwise induced current in the loop.
b) There is no induced current in the loop.
c) There is a clockwise induced current in the loop
There is a clockwise induced current in the loop. Since the bar magnet is moving towards the center of the loop, it causes a decrease in the magnetic field passing through the loop.
How does the movement of a magnet affect the induced current in a wire loop?The movement of a magnet affects the induced current in a wire loop as it causes a change in the magnetic field passing through the loop. According to Faraday's Law of Induction, a change in magnetic field induces an electromotive force (EMF) in the loop, which in turn causes an induced current to flow.
How does Lenz's Law determine the direction of induced current?Lenz's Law states that the induced current will flow in such a way as to oppose the change in magnetic field that induced it. This means that if the magnetic field passing through a wire loop is increasing, the induced current will flow in a direction that creates a magnetic field that opposes the increasing magnetic field.
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the figure shows four charges at the corners of a square of side l. assume q and q are positive.
The magnitude of the charges on the corners of square is Fr = 1.91 × 9×10⁹q²/L².
Suppose the square's corners are A, B, C, and D. We will measure the force of the charge that was applied to B (the charge that was applied in the upper right corner). All three forces acting on the charge in B are ones of rejection because all the charges are positive (of the same sign). Charge-related force in A will be given . Then the module in the x-direction can be given as,
Fₓ = K×q² / L²
Then the module in the y-direction can be given as, and Charge placed in C produces force.
Fy = K×q²/L²
Force as a result of the charge in D .The square's diagonal will determine the direction of that force, and the diagonal's length is determined by the distance between the charges placed in D and A.
d² = L² + L² = 2L²
d = √2 × L
Force as a result of the charge in D .The square's diagonal will determine the direction of that force, and the diagonal's length is determined by the distance between the charges placed in D and A.
F₄₅ = Kq²/ 2L²
Fx + Fy = F₁
F1's module: Fx²+ Fy² then, the direction will be same to the square's diagonal.
F₁ = √( Kq²/L² )² + ( Kq²/L² )²
F₁ = √2Kq²/L²
To obtain the net force Fr on charge in point B, we now sum forces F1 and F₄₅. Fr's direction is the diagonal's direction and it is a rejection-oriented direction is the module,
Fr = F₁ × F₄₅
Fr = √ 2Kq²/L² + Kq²/ 2L²
Fr = ( √ 2 + 0,5 )Kq² /L²
K = 9×10⁹ Nm²C²
Fr = 1.91 × 9×10⁹×q²/L²
The complete questions is,
Four charges having charge q are placed at the corners of a square with sides of length L. What is the magnitude of the force acting on any of the charges?
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Which of the following algorithms will allow the robot to make a single circuit around the rectangular region of black squares, finishing in the exact location and direction that it started in each of the four grids
Follow all the steps which is given below after the word solution.
What is a circuit?A closed loop in which electrons can move called a circuit. Electricity is supplied to the circuit by an electricity source, such as a battery. No electron will move till the circuit is finished, that is, it goes full circle to the electrical supply.
The solution is -
Step 1: Continue advancing one square at a time until the square directly to the robot's right is no longer black.
Step 2: Make a right turn and advance one square.
Step 3: Recurring the first and second steps three more times.
Why?
The robot begins in one of the four grids alongside a black area.
In the first step, the robot travels just past the edge of the dark area.
In step 2, the robot spins to the right and advances, positioning itself along next side of a black area.
Step 3 will involve repeating Steps 1 and 2 in order to maneuver the robot around the remaining three sides and make a full circuit of the dark area.
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in the definition of weight, w = mg, the mass m refers to an inertial mass. T/F
The statement is False. The mass m used in the formula for weight, W = mg, refers to passive gravitational mass rather than inertial mass.
Objects accelerate due to imbalanced forces. However, not every item accelerates at the same rate in the presence of the same imbalanced force. A mass quantity called inertial mass determines the body's inertial resistance to acceleration when responding to all types of force.The gravitational force a body experiences while in the gravitational field, or g, is what determines its gravitational mass.
It is untrue that all forces acting on a cart going along a track with the x-axis perpendicular to the track must travel in the x direction. Because they might cancel each other out, the forces in the y direction.
It is true that the x-component of velocity must be positive if the cart is travelling along the positive x axis.
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if equal masses of water and iron were exposed to the same heat source, which one would reach 100 c first
The water would reach 100°C first, as iron has a higher heat capacity than water.
This means that it takes more energy to increase the temperature of iron than it does to increase the temperature of water.
What is heat capacity?
Heat capacity is the amount of heat energy required to raise the temperature of an object by one degree.
It is measured in joules per degree Celsius (J/°C) and is a measure of the object's ability to store thermal energy.
Heat capacity is an important factor in determining the rate of temperature change of a system.
Therefore, The water would reach 100°C first, as iron has a higher heat capacity than water.
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if force equals mass times acceleration why do objects dropped from greater heights have more impact?
If force equals mass times acceleration, the objects dropped from greater heights have more impact.
From Newton's second law, we know, F = m a ---(1)
The pace at which velocity changes is what is meant by acceleration.
Mathematically, a = v/t ---(2)
Substituting (2) in (1), we have,
F = m a = m × v / t
From the equations of kinematics, we know,
v² - u² = 2 a s ---(3)
If a body is dropped from greater height, its initial velocity is zero, u = 0.
Putting in (3), we have,
v² - 0 = 2 a h
where, h is the dropped height
So, v² = 2 a h
v = √(2 a h)
v is the final velocity with which it touches the ground
As the height increases, velocity also increases.
Thus, the objects dropped from greater height have more impact.
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