Answer:
true
Explanation:
hardwork brings success
Determine the speed of B when A and B pass each other. The speed of B is ___ mi/h
To determine the speed of B when A and B pass each other, we need to first gather information about their initial velocities, relative speeds, and direction of motion.
The speed of A is given and we need to find the speed of B. The formula for relative speed can be used, which states that the relative speed of two objects is equal to the sum of their individual speeds when they are moving in the same direction, and the difference of their speeds when they are moving in opposite directions. In this case, if A and B are moving in opposite directions, then their relative speed is equal to the speed of A plus the speed of B.
It is important to note that the speed of B must be expressed in the same unit as the speed of A (e.g. miles per hour) to allow for accurate comparison and calculation. Once the relative speed is known, it can be used to determine the speed of B by solving for it algebraically. The answer should be a numerical value in miles per hour.
It is also important to take into consideration any external factors that may affect the motion of the objects such as friction, air resistance, and changes in direction or speed. These factors can impact the accuracy of the calculation and should be accounted for if possible.
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a picture hangs on a wall by a wire that is passed over a supporting nail. the picture is in stable equilibrium because
An object is said to be in stable equilibrium when it is balanced so that a displacement reduces its centre of gravity.
A wire is passed over a supporting nail to hang a picture from the wall. The picture is in a stable balance because its centre of gravity is directly beneath the nail that supports it. This means that any minor prod will cause it to fall back into place, while any larger prod would cause its centre of gravity to rise. If a system's equilibrium is unaffected by deviations from its initial state, it is said to be in neutral equilibrium. An illustration would be a stone on a horizontal, flat surface. Any object will be stable if a line drawn directly down from the centre of gravity of the object falls inside the base of the object. The object will be unstable if the line through the center of gravity is outside the base.
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The acceleration of an oscillator undergoing simple harmonic motion is described by the equation ax(t)=−(16m/s2)cos(18t), where the time t is measured in seconds. What is the amplitude of this oscillator?
The amplitude of this oscillator is 16 m/[tex]s^{2[/tex] This is because the amplitude of the oscillator is the maximum value of the acceleration, which in this case is 16 m/[tex]s^{2[/tex].
The equation [tex]ax(t)=a(16m/s^{2} )cos(18t)[/tex]is just a mathematical representation of how the acceleration of the oscillator changes over time.
The amplitude of an oscillator is the maximum displacement from the equilibrium or rest position. In other words, it is the maximum distance the oscillator travels from its rest position during one complete cycle.
The amplitude of a simple harmonic oscillator is constant, meaning that the oscillator will travel the same distance from its rest position each time it completes a cycle. The amplitude of an oscillator is usually represented by the letter A.
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here is an `x` by `x 1` rectangle and a `1` by `x` rectangle. the rectangles are similar. determine the value of `x` to show the possible dimensions for these rectangles.
Here is an `x` by `x 1` rectangle and a `1` by `x` rectangle. the rectangles are similar. The value of `x` to show the possible dimensions for these rectangles is x = (-1 + √5) / 2 or x = (-1 - √5) / 2
The similar rectangles have proportional sides. Given that one rectangle is x by x + 1 and the other is 1 by x, the ratio of their sides must be equal, so:
x / (x + 1) = 1 / x
Solving for x:
x^2 + x - 1 = 0
Use the quadratic formula to find the solutions:
x = (-1 ± √(1^2 - 4 * 1 * -1)) / (2 * 1)
x = (-1 ± √(1 + 4)) / 2
x = (-1 ± √5) / 2
Thus, the possible values of x are:
x = (-1 + √5) / 2 or x = (-1 - √5) / 2
Note that these are the Golden Ratio and its inverse, respectively
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Show your work
A 2.0 kg block rests on a level surface. The coefficient of static friction is µs = 0.50, and the coefficient of kinetic friction is µk = 0.30. A horizontal force, F, is applied to the block. As F is increased, the block begins moving.
a)Find the minimum force, F, required for the block to just start to move.
b)Find the force, F, required for the block to continue to move at a constant velocity.
c)Explain what happens to the motion of the block if a force is applied greater than those found above.
a. The minimum force required to start moving the block is 9.8 N
b. The force required to continue moving the block at a constant velocity is 5.88 N.
c. If a force greater than 9.8 N is applied, the block will start moving and continue to move until the applied force is less than 5.88 N.
How to calculate?a. Force = μs * N
N = m * g = 2.0 kg * 9.8 m/s^2 = 19.6 N
Force = μs * N = 0.50 * 19.6 N = 9.8 N
b. Force = μk * N = 0.30 * 19.6= 5.88 N N
c. In conclusion, If a force greater than 5.88 N is applied, the block will accelerate. If a force less than 5.88 N is applied, the block will decelerate and eventually stop if the force becomes less than the force of static friction (9.8 N).
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a commuter train accelerates at a rate of 1.35 m/s2. how long does in seconds it takes to reach the op highest speed of 65.0 km/h starting from rest. what is the speed in meters per second, of the train 7 seconds after it starts declerating from its top speed
It takes 13.29 seconds for the train to reach 65.0 km/h and its speed is 7.76 m/s after 7 seconds of deceleration from its top speed.
What is speed ?Speed is defined as the rate of change of position of an object in any direction.
To calculate the time it takes the train to reach 65.0 km/h:
First convert the speed from km/h to m/s: 65.0 km/h = 65.0 * 1000/3600 m/s = 18.06 m/sNow we can use the equation of motion, v = u + at, where v is the final velocity, u is the initial velocity (0 m/s), a is acceleration and t is time.t = (v - u)/a = (18.06 m/s - 0 m/s)/(1.35 m/s^2) = 13.29 sThe speed of the train 7 seconds after it starts decelerating from its top speed:
The equation of motion can be rearranged to give v = u + at. Here, a is the deceleration, which we'll assume to be negative and equal in magnitude to the acceleration (1.35 m/s^2).v = u + at = 18.06 m/s - (1.35 m/s^2 * 7 s) = 7.76 m/s.So it takes 13.29 seconds for the train to reach 65.0 km/h and its speed is 7.76 m/s after 7 seconds of deceleration from its top speed.
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A skater on ice begins to spin in the camel position, as shown in the figure to the left below. As she continues to spin, she straightens up, pulls her arms to her chest, and crosses her legs to spin in the corkscrew position, as shown in the figure to the right below. Air resistance and friction are negligible as the skater spins. Which of the following statements about the skater's motion is true? (A) Her angular momentum increases when she moves to the corkscrew position because her angular speed increases. (B) Her angular momentum increases when she moves to the corkscrew position because her rotational inertia increases. (C) Her angular momentum remains the same when she moves to the corkscrew position because there is negligible frictional torque. (D) Her angular momentum decreases when she moves to the corkscrew position because her angular speed increases. (E) Her angular momentum decreases when she moves to the corkscrew position because her rotational inertia decreases.
The correct option is C, Her angular momentum remains the same when she moves to the corkscrew position because there is negligible frictional torque.
Angular momentum is a measure of the quantity of rotational movement an object has. it's miles a vector quantity, which means that it has both magnitude and direction. The magnitude of angular momentum depends on the object’s mass, its velocity, and the distance from its axis of rotation. The direction of angular momentum is perpendicular to the plane of rotation. In simple terms, angular momentum can be understood as the rotational equivalent of linear momentum.
The law of conservation of angular momentum states that the total angular momentum of a closed system remains constant, provided no external torques are acting on the system. This principle is widely used in physics, especially in celestial mechanics to predict the motion of celestial bodies. In classical mechanics, angular momentum plays a crucial role in the study of rotating objects, such as spinning tops and planetary orbits.
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a heavy rock and a light rock are dropped from the same height and experience no significant air resistance as they fall. which of the following statements about these rocks are correct?
If a heavy rock and a light rock are dropped from the same height and experience no significant air resistance as they fall they will have the same acceleration due to gravity. They will reach the same final velocity before hitting the ground. They will hit the ground at the same time.
How can the motion of object be described?The motion of the object can be described by the equation of motion, which states that the velocity of the object changes at a constant acceleration, equal to the acceleration due to gravity (g). An object falling from a height is a classic example of motion under the influence of gravity.
What do you understand by Gravitational force?Gravitational force is described by the law of universal gravitation, which states that the force of gravity between two objects is proportional to the product of their masses and inversely proportional to the square of the length between them.
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The Complete question is:
A heavy rock and a light rock are dropped from the same height and experience no significant air resistance as they fall. Which of the following statements about these rocks are correct?O Just as they are about to reach the ground, the heavier rock has more kinetic energy than the lighter rockO The moment they were released, both rocks had the same amount of gravitational potential energy O Both rocks have the same kinetic energy when they reach the ground O The heavier rock reaches the ground before the lighter rock. .O Both rocks different acceleration as they are about to reach the ground.
a sheet with charge q uniformly distributed over its area a is surrounded by a dielectric. show that the sheet creates a uniform electric field with magnitude e
It is simple to determine the size of the electric field by calculating the force per charge on the test charge. The standard metric units for electric field strength are derived from this concept.
What are magnitude and its definition?Formulas for a vector's magnitude Magnitude Formula for a Vector with the Origin as the End Point. | v | = x 2 + y 2. When the starting points are (x1, y1) and the ending points are (x2, y2).
What size is the electric field at a particular field point?Equation E = kQ/r2 determines the size of the electric field (E) created by a point charge with a charge of magnitude Q at a point r distant from the point charge, where k is a constant with a value of 8.99 x 109 N m2/C2.
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Example (1) A cylindrical glass rod in air has index of refraction 1.52. One end is ground to a hemispherical surface with radius R = 200 cm. (a) Find the image distance of a small object on the axis of the rod, 8.00 cm to the left of the vertex. (b) Find the lateral magnification. Answer /
a. The image distance is -212.275 cm
b. the lateral magnification is equal to 26.534375
How to calculate?
The image distance can be found using the lens equation for a spherical lens:
1/f = 1/d_o + 1/d_i
we have that focal length of a spherical lens is:
f = R / (n - 1)
f = R / (n - 1) = 200 cm / (1.52 - 1) = 200 cm / 0.52 = 385.385 cm
The object distance, d_o, is 8.00 cm,
calculating the image distance, we have :
1/f = 1/d_o + 1/d_i
1/385.385 cm = 1/8.00 cm + 1/d_i
d_i = -8.00 cm * 385.385 cm / (385.385 cm - 8.00 cm) = -212.275 cm
b. The lateral magnification can be described as the ratio of the height of the image to the height of the object:
m = h_i / h_o
m = h_i / h_o = d_i / d_o = -212.275 cm / 8.00 cm = -26.534375
In conclusion, the negative sign indicates that the image is inverted with respect to the object.
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For the first one Answer in units of m. For the second one Answer in units of m/s
^2
a) The distance from that point on the Moon to the Earth must be less than 3.456 * 10⁸ m.
b) The acceleration, a, at that point is 3.33 * 10⁻³ m/s².
What will be the distance from the Moon to the Earth?The distance from that point on the Moon to the Earth is calculated using the formula below as follows:
rM = √(mE/mM) * r ) / (1 + √(mE/mM)
where;
rM is the point where the forces from the Earth and the Moon are the same
r is the distance between Earth and Moon = 3.84 * 10⁸ m
mE is the mass of the Earth = 5.98 * 10² kg
mM is the mass of the Moon = 7.36 * 10²² kg
simplifying and substituting the values:
rM = 9 * 3.84 * 10⁸ m / 10
rM = 3.456 * 10⁸ m
Hence, the point is at a distance of less than 3.456 * 10⁸ m.
b) The acceleration, a, at that point is determined as follows
a = G * mE / (rM2)
where;
G is the gravitational constant = 6.67 * 10⁻¹¹ Nm²/kg²
substituting the values:
a = 6.67 *10⁻¹¹ * 5.97 * 10²⁴ / (3.456 * 10⁸)²
a = 3.33 * 10⁻³ m/s²
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if the force p causes point a to be displaced horizontally 2 mm , determine the normal strain developed in each wire.
The horizontal displacement at point A due to the force P can be split into two equal components, one acting on each wire. Therefore, the strain in each wire can be calculated as:
strain = (delta L) / L = (F / 2) / (A * E) = (P / 2) / (A * E)
where delta L = 2 mm, L = 300 mm, A = 30 mm^2, E = 8 x 10^9 N/m^2, and P is the force causing the displacement.
Substituting the given values:
strain = (2 / 300) = (P / 2) / (30 * 8 x 10^9) = (P / 2) / (240 x 10^9) N/m^2
Displacement is a term used in physics and engineering to describe the movement of an object from its initial position to its final position. It is a vector quantity that represents the straight-line distance between the starting and ending points. The direction of displacement is from the initial position to the final position and its magnitude is the distance traveled by the object.
Displacement is different from distance, which is the total length of the path traveled by an object. Distance can be greater than the displacement if the object travels a longer path, or it can be less than the displacement if the object moves in a circular or curved path.
Displacement is also different from velocity, which is the rate of change of displacement with time. Velocity takes into account both the magnitude and direction of displacement, whereas displacement only considers the magnitude.
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Complete Question: -
The two wires are connected together at A. If the force P causes point A to be displaced horizontally 2 mm, determine the normal strain developed in each wire. 300 mm 30 30 300 mm 8
a wire with mass 0.397 g is stretched between two points 88 cm apart. if the tension of the string is 110 n, the frequency of the second harmonic is hz. (give answer to the nearest ones place.)
When a wire with a mass of 0.397 g is stretched between two places 88 cm apart, the frequency of the second harmonic is 143 Hz.
What is frequency?The frequency of a repeated event is the number of occurrences per unit of time. It is separate from angular frequency and is sometimes referred to as temporal frequency. The unit of frequency is hertz, which equals one occurrence every second.
Here,
To calculate the frequency of the second harmonic, we need to know the tension and the linear mass density of the wire. The linear mass density can be calculated as:
mass/length = 0.397 g / 88 cm = 0.0045 g/cm
We can then use the formula for the frequency of a string under tension:
f = (1 / 2L) * (T / μ)^0.5
where f is the frequency, L is the length of the string, T is the tension, and μ is the linear mass density.
Substituting the values from the problem, we get:
f = (1 / 2 * 88 cm) * (110 N / 0.0045 g/cm)^0.5 = (1 / 176 cm) * (24444 N/g)^0.5
f = (24444 N/g)^0.5 / 176 cm
f = 143 Hz
So, the frequency of the second harmonic is 143 Hz when a wire with mass 0.397 g is stretched between two points 88 cm apart.
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which of these diagrams most closely represents the gravitational forces that the earth and moon exert on each other?
A pair of Newton's Third Law effects are represented by gravitational pull of a Earth and Moon. Both the Moon and the Earth are gravitationally pulled in opposite directions by the Earth.
Is the gravitational pull of the moon and Earth similar?Its surface gravity of a moon is only a sixth that of Earth because an object's mass or size determine its force of gravity now at surface.
What exactly is gravity, and how does it appear?The force that now the earth applies to a body is referred to as gravitational force. The downhill and upward movement of water in rivers and streams, as well as the upwards motion of the a ball as it is thrown, are examples of motion brought on by gravitational force.
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a 60 g tennis ball with an initial speed of 35 m/s hits a wall and rebounds with the same speed. (figure 1) shows the force of the wall on the ball during the collision.
The value of Fmax, the maximum value of the contact force during the collision is 1050N
Given the mass of tennis ball (m) = 60g
The speed of ball (v) = 35m/s
We know that when the ball hits the wall and rebound momentum acts on it such that momentum before and after collision should be same.
Momentum before hitting the wall is (p1) = mv = [tex]60 x 10^-3 x 35[/tex] = 2.1
Momentum after rebound is (p2) = -mv = -2.1
The change in momentum is calculated as: Δp = p1- p2
Then, Δp = 2.1 - (-2.1) = 4.2
We know that change in momentum is also called impulse such that:
Δp = F(t)dt
We need to evaluate area under curve which is trapezium =
[tex]6 +2/2 x 10^-3 x Fmax[/tex] = [tex]4 x 10^-3xFmax[/tex]
Fmax = 1050N
Hence the maximum force of collision is 1050N
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complete question: a 60 g tennis ball with an initial speed of 35 m/s hits a wall and rebounds with the same speed. (figure 1) shows the force of the wall on the ball during the collision. What is the value of Fmax, the maximum value of the contact force during the collision?
Convert 25 meters per second (m/s) to feet per second (ft/s)
Answer: 82.021 Feet per second
Explanation:
Answer:
82.021 Feet per second
Explanation:
classify each change of state (melting, freezing, vapor- ization, condensation, and sublimation) as endothermic or exothermic.
The change of state such as melting, condensation and freezing are exothermic reaction, whereas vaporization and sublimation are considered as endothermic reaction.
What characterizes endothermic from exothermic phase changes?Heat is absorbed throughout endothermic reactions, and a positive enthalpy change results. Heat is released during exothermic reactions, and a negative enthalpy change arises.
What causes endothermic melting?Since liquid water can rotate and vibrate but solid ice could only vibrate, water has a higher energy state than ice. This implies that in order for ice to change into a state with higher energy (water), it must absorb energy; as a result, the process is endothermic with reference to the system (surrounding temperature decreases).
What causes endothermic sublimation?Heat absorption causes to sublimation since this gives some molecules the energy they need to overcome the forces that draw them to one another and escape into the vapour phase. This process is an endothermic transformation since it uses more energy.
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|| A 180 g air-track glider is attached to a spring. The glider is pushed 10.2 cm against the spring, then released. A student with a stopwatch finds that 14 oscillations take 10.5 s. What is the spring constant?
The spring constant of the spring is 4.013 N/m
The formula for calculating the period of oscillation is as follows:
T = 2π √(m / k)
m = the spring's massk = the spring constantTo find the spring constant, we can retrofit the formula as follow:
k = 4π² (m / T²)
From the question, we are told that the student finds that 14 oscillations take 10.5 s, meaning the number of oscillations in one second is 0.75 (f = 0.75).
Period (T) = 1/0.75 - 1.33 sec
Apply that number to the formula above:
k = 4π² (m / T²)
k = 4 * 3.14² (0.18 / 1.33²)
k = 4.013 N/m
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Mark climbs up onto the roof of his house to hang a new flood light above the garage. Being afraid of heights, Mark carefully looks over the edge and ponders a possible fall to the ground below. The top of the roof is 5 meters above the ground below. If Mark has a mass of 65 kg, which of the following values Mark's gravitational potential energy?
A- 3188 J
B- 325 J
C- 49 J
D- 638 J
This potential energy is known as gravitational potential energy. It is the gravitational field's potential energy that is released when two objects fall in close proximity to one another.
The short answer to the question of potential energyThe term "potential energy" refers to the energy that is conserved or stored in a material or object. The location, configuration, or status of the substance or object determines the stored energy.
Which potential energy is an example?Energy that has been stored is called potential energy. A battery, a stretched spring, and lifting an object are some examples. There are two major categories of energy: potential and kinetic.
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fill in the blank. the calvin cycle occurs in the ___, using products of the light reactions: ___as a donor of ___and blank as an energy source. during the dark reactions ___of glyceraldehyde 3-phosphate exits the cycle per ___of ___fixed and is converted to glucose and other organic molecules.
The Calvin Cycle occurs in the chloroplasts, using products of the light reactions: ATP and NADPH as a donor of energy and CO2 as an energy source. During the dark reactions, the reduced form of glyceraldehyde 3-phosphate exits the cycle per turn and is converted to glucose and other organic molecules.
The Calvin Cycle is also known as the light-independent reactions, which is responsible for carbon fixation in photosynthesis.
This cycle involves a series of enzyme-catalyzed reactions to reduce CO2 to the energy-rich organic molecule glyceraldehyde 3-phosphate.
ATP and NADPH produced during the light reactions are used as the energy source for these reactions, and water is also used to generate oxygen gas as a byproduct.
The cycle continues to repeat, producing more glyceraldehyde 3-phosphate, which can be converted into glucose or other organic molecules, providing energy and materials for the plant to grow and thrive. The Calvin Cycle is a vital process in plants and is critical for life on Earth, as it provides the energy source for most living things.
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consider the case of a student wishing to determine the spring constant for & spring by measuring the period of oscillation of a mass on the spring The student knows that the relationship between the spring constant (k); the mass (m); and the period of oscillation (T) is given by the equation T =2I_ (18) This is not a linear equation; to see this, plot the period vs . mass (m). Equation (18) can be made linear by squaring both sides of equation (18). Next; try to put the equation into y mx +b form (don't confuse m for slope in this equation with m for mass in equation 18 above). T? js the dependent variable like Y; m is the independent variable; like x Now plot T? versus m and find the slope of the line in your graph: The slope of the resulting line can be used to determine the spring constant; k Show your calculation of the slope and k; the spring constant; on your graph: Mass (kg) 0O25k8 I(s) 0.379 $ T? (s ) 0O5ke 0.530 $ 0.100kg 0.750 $ 0ESkg 0.200kg 0.250kg_ 0.920 $ L00 $ 1.200 $ 03kg 1300 $
The equation T = 2π√(m/k) relates the period of oscillation (T), the spring constant (k), and the mass (m) on the spring. To determine the spring constant, we need to linearize the equation by squaring both sides:T^2 = 4π^2(m/k)
Rearranging the equation to get k on one side:
k = 4π^2m / T^2
We can see that k is proportional to m/T^2, so we can plot T^2 vs m, and the slope of the resulting line will be equal to 4π^2/k.
From the given data:
Mass (m) | T (s) | T^2 (s^2)
0.025 kg | 0.379 s | 0.142 s^2
0.050 kg | 0.530 s | 0.281 s^2
0.100 kg | 0.750 s | 0.563 s^2
0.200 kg | 0.920 s | 0.847 s^2
0.300 kg | 1.100 s | 1.210 s^2
The slope of the line can be determined by performing a linear regression on the data. The slope of the line represents 4π^2/k, so we can find k by dividing 4π^2 by the slope.
For example, if the slope of the line is 0.35 s^2/kg, then k would be calculated as:
k = 4π^2 / slope = 4π^2 / 0.35 s^2/kg = 37.7 N/m
So, the spring constant for the spring is 37.7 N/m.
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In a showdown on the streets of Laredo, the good guy drops a 5.00-g silver bullet at a temperature of 20.0°C into a 100-cm' cup of water at 90.0°C. Simultaneously, the bad guy drops a 5.00-g copper bullet at the same initial temperature into an identical cup of water.
Which one ends the showdown with the coolest cup of water in the West? Neglect any energy transfer into or away from the container.
The silver would be coolest since it has the lowest heat capacity.
What is the heat capacity?Heat capacity, also known as thermal capacity, is the amount of heat energy required to raise the temperature of a substance by a certain amount. It is expressed as the amount of heat energy per unit temperature change, and is usually measured in joules per kelvin (J/K) or calories per degree Celsius (cal/°C).
Heat capacity is a key property of materials that provides important information about their thermal behavior and is critical for many areas of science and technology.
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you apply 2 volts to a piezoelectric material and measure a displacement of 0.5 nm. what is the approximate piezoelectric coefficient d33 for this piezoelectric? you apply 2 volts to a piezoelectric material and measure a displacement of 0.5 nm. what is the approximate piezoelectric coefficient d33 for this piezoelectric? 250 pm/v 250 nm/v 500 nm/v 500 pm/v 1 nm/v
The piezoelectric coefficient, measured in volt meters per Newton, connects the stress placed on a crystal to the resulting electric field.
The definition of a piezoelectric deviceThe ability of piezoelectric devices to transform mechanical energy into electrical energy and through inverse piezoelectric effect makes them useful as actuators in a range of applications. The following benefits apply to actuators made of piezoelectric components. quick reaction. movement with grace.
What type of substance is piezoelectric?When mechanical stress is applied to certain materials, it can result in the production of piezoelectric materials, or piezoelectrics. Quartz is a frequently used piezoelectric substance. When stress is applied, the electron moves, which results in the creation of an electric charge.
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in fig. 24-38, what is the net electric potential at point p due to the four particles if v 0 at infinity, q 5.00 fc, and d 4.00 cm?
The electric field potential at the point p is found to be 1.125 Volts.
The electric field at any point is given by the formula,
V = kq/r
Where,
k is the constant,
q is the charge,
r is the point at which the potential is to be found,
Here in the question it is given that,
A charge of magnitude 5 fC and we have to find the potential at a point p which is a 4cm.
Now, putting all the values,
V = 9 x 10⁹ x 5 x 10⁻¹²/4 x 10⁻²
V = 1.125 Volts.
So, the electric potential at the point p is 1.125 volts.
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using the concept of marginal rate of substitution, explain what it means for the curve to get flatter as one moves along it from left to right.
The slope of the indifference curve, which depicts a frontier of utility for each combination of "good X" and "good Y," is known as the marginal rate of substitution.
What does the term "marginal rate of substitution" mean?The marginal rate of substitution (MRS) in economics is the rate at which a consumer can trade a portion of one good for another good while keeping their utility constant. Marginal rates of substitution are equal at equilibrium consumption levels (on the assumption that there are no externalities).
Why does the marginal rate of substitution fall off the indifference curve as we descend?True. The marginal rate of substitution (MRS) tends to decrease as we advance along the indifference curve. Because the intensity of a commodity's desire grows as its supply decreases. The amount forfeited as a result decreases with each additional unit of the other commodity.
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a rubber ball moving with an initial mom p collides with a vertical wall. which of the following is the correct direction of changeable momentum vector than the ball experience during the collision
Arrοw to the right, is correct about the vector of impulse that the call experiences during the cοllision.
Thus οption 2 is correct
What is the mοmentum vector's direction?
The ball's velοcity and the momentum vector have the same general directiοn.
It was stated befοre that an object moves in the same general direction as the velοcity vector.
Mοmentum will remain constant regardless of the impact type.
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Cοmplete question:
A rubber ball mοving with an initial momentum p1 collides elastically with a vertical wall. Which of the fοllowing is correct about the vector of impulse that the call experiences during the cοllision?
MomentumArrow to the rightMomentum of the system is conservedVector Upfind the speed v0 with which the quarterback must throw the ball. answer in terms of d , tc , vr , and g .
The required speed v₀ with which the quarterback must throw the ball is v₀ = √(vr^2 + 2gd) / cos(tc).
What is Speed?Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
According to question:The speed v₀ with which the quarterback must throw the ball can be determined using the following formula:
v₀ = √(vr^2 + 2gd) / cos(tc)
where:
d is the distance from the quarterback to the receiver,
tc is the angle between the ground and the trajectory of the ball,
vr is the velocity of the receiver (assumed to be moving horizontally), and
g is the acceleration due to gravity (approximately 9.8 m/s^2).
Note that this formula assumes that the ball is thrown with a velocity that is equal to the initial velocity of the receiver. If the receiver is moving in a different direction, or with a different speed, the formula may need to be adjusted accordingly.
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a long, straight metal rod has a radius of 5.90 cm and a charge per unit length of 29.8 nc/m. find the electric field at the following distances from the axis of the rod, where distances are measured perpendicular to the rod's axis.
Complete Question: Distances here:
(a)3.00 cm
(b) 10.0 cm
(c) 100cm
Electric field at distances from axis of rod is:
The electric field (E) at a distance (r) from the axis of a long, straight metal rod with a charge per unit length (λ) can be calculated using the formula:
E = 2λ / (π * ε0 * r)
where ε0 is the electric constant ([tex]8.854 * 10^-12[/tex] [tex]C^2/Nm^2[/tex]).
For (a) r = 3.00 cm, E = [tex]8.854 * 10^-12[/tex] C/m / (π * [tex]8.854 * 10^-12 C^2/Nm^2[/tex] * 0.03 m) = [tex]9.84 * 10^7 N/C[/tex].
For (b) r = 10.0 cm, E = [tex]2 * 29.8 * 10^-9[/tex] C/m / (π * [tex]8.854 * 10^-12 C^2/Nm^2[/tex] * 0.1 m) = [tex]3.08 * 10^7 N/C[/tex].
For (c) r = 100 cm, E = 2 * [tex]29.8 * 10^-9[/tex] C/m / (π * [tex]8.854 * 10^-12 C^2/Nm^2[/tex] * 1 m) = [tex]3.08 * 10^5[/tex] N/C.
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two rods, one made of brass and the other made of copper, are joined end to end. the length of the brass section is 0.200 m and the length of the copper section is 0.800 m . each segment has cross-sectional area 0.00700 m2 . the free end of the brass segment is in boiling water and the free end of the copper segment is in an ice-water mixture, in both cases under normal atmospheric pressure. the sides of the rods are insulated so there is no heat loss to the surroundings. part a what is the temperature of the point where the brass and copper segments are joined? express your answer in degrees. activate to select the appropriates template from the following choices. operate up and down arrow for selection and press enter to choose the input value typeactivate to select the appropriates symbol from the following choices. operate up and down arrow for selection and press enter to choose the input value type t
The temperature of the point where the brass and copper segments are joined will be less than 100°C because k1 < k2
How to calculate?The rate of heat flow from the boiling water to the junction is given by:
q1 = k1 * A * (T1 - Tj) / L1
The rate of heat flow from the ice-water mixture to the junction is given as :
q2 = k2 * A * (Tj - T2) / L2
Because heat is conserved, q1 = q2, so we have:
k1 * A * (T1 - Tj) / L1 = k2 * A * (Tj - T2) / L2
Finding for Tj, we have :
Tj = (k1 * T1 * L1 + k2 * T2 * L2) / (k1 * L1 + k2 * L2)
Substituting the given values, we have:
Tj = (k1 * 100 * 0.200 + k2 * 0 * 0.800) / (k1 * 0.200 + k2 * 0.800) = 100 * 0.200 / (0.200 + 0.800 * k1/k2)
In conclusion, Tj will be less than 100°C
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assume that the switch in the circuit in (figure 1) has been in the on position for a long time before switching instantaneously to the off position at t
An electrical switch controls whether a circuit is closed or open. They make it possible to regulate the current flow in a circuit. without the need to manually cut or reconnect the wires.
Why are switches used?To operate an electric device, a switch must be utilized to close or open an electrical circuit. A switch completes the wiring and permits current to flow if it is in the Up position. Similar to this, a switch is at the "OFF" position when it completes the circuit and blocks the flow of current.
The primary switch, what is it?The primary switches are safeguards for secure machine control and basic switching devices. For instance, they can be used as repair switch to swiftly shut down big machines and system so that upkeep work can be done securely.
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