The uniform velocity of the log relative to the river is 3.04 km/182 min = 0.017 km/min.
What is speed?The pace and direction of an object or particle's movement are described by the vector quantity known as velocity. It consists of two elements: direction and speed.
motorboat is v + u
u is the speed
the person travels 1.52 km upstream
total distance covered by the motorboat is 1.52 km x (v + u).
The time taken by the person to travel upstream is 91 min. Therefore, the total time taken by the motorboat to cover the round trip (upstream + downstream) is 182 min.
total distance covered by the motorboat during the round trip is 3.04 km x (v + u).
the distance covered by the log during the round trip is also 3.04 km.
Therefore, the velocity of the log relative to the river is 3.04 km/182 min = 0.017 km/min.
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Please help and find the voltage drop. Thank you giving Brianlest
The voltage drop can be seen from the full circuit diagram.
What is a voltage drop in a circuit?A voltage drop in a circuit refers to the decrease in voltage (electrical potential difference) along a conductor as electric current flows through it. It is caused by the resistance of the conductor, which resists the flow of electric current, thus converting some of the electrical energy into heat.
Voltage drop is an important consideration in electrical circuit design, particularly in long or complex circuits, because it affects the amount of voltage available to power electrical devices. If the voltage drop is too large, the devices may not operate correctly, or they may be damaged.
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match the subatomic particles to the statements that describe them. some answer choices may be used more than once, and some descriptions require multiple answers.
There are protons, neutrons, and electrons, three types of subatomic particles. Protons have both a positive charge and a negative charge, making them two of the neutrinos with electrical charges.
What three kinds of subatomic particles are there?These particles are frequently referred to as elementary particles since they are the building blocks of atoms. There are protons, neutrons, and electrons, three types of subatomic particles. Protons and electrons, two of something like the subatomic particles, each have electrical charge of one or the other.
How would you explain the interactions between the subatomic particles?Particles smaller than an atom are referred to as subatomic particles. The three primary subatomic particles present in an atom are protons, neutrons, and electrons. The charge of protons is positive (+). An easy method.
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let $a$ and $b$ be distinct complex numbers on the unit circle. find the maximum possible value of $\left|\dfrac{a-b}{1-\overline{a}b}\right|$.
The maximum possible value of [tex]$\left|\dfrac{a-b}{1-\overline{a}b}\right|$[/tex] is 2.
The maximum possible value of [tex]$\left|\dfrac{a-b}{1-\overline{a}b}\right|$[/tex] is 2.
To see why, consider two complex numbers a and b on the unit circle with a [tex]\neq[/tex] b.
Then, we can write:
[tex]$$|a - b| = 2 \sin \left(\frac{1}{2} \angle (b - a)\right)$$[/tex] and [tex]$$|1 - \overline{a} b| = 2 \sin \left(\frac{1}{2} \angle (1 - \overline{a}b)\right)$$[/tex]
where angle (z) denotes the argument of the complex number z.
Since a and b are on the unit circle,
[tex]\left|\overline{a}\right| = \left|a\right| = 1$\\$\left|\overline{b}\right| = \left|b\right| = 1[/tex]
Hence, using above we can write it as:
[tex]$$\angle (1 - \overline{a}b)\\ = \angle (1 - b\overline{a}) \\= \angle (1) - \angle (b\overline{a}) \\= 0 - \angle (b) + \angle (a) \\= -\angle (b) + \angle (a)$$[/tex]
Thus,
[tex]$$2 \sin \left(\frac{1}{2} \angle (1 - \overline{a}b)\right) \\= 2 \sin \left(\frac{1}{2} (-\angle (b) + \ang\\le (a))\right) \\= 2 \sin \left(\frac{1}{2} (\angle (a) - \angle (b))\right)$$[/tex]
So from above,
we can write it as:
[tex]$$\left|\dfrac{a-b}{1-\overline{a}b}\right| = \frac{|a - b|}{|1 - \overline{a} b|} = \frac{2 \sin \left(\frac{1}{2} \angle (b - a)\right)}{2 \sin \left(\frac{1}{2} (\angle (a) - \angle (b))\right)}$$[/tex]
Since the sine function is always between -1 and 1,
So, we can again write it as:
[tex]$$\left|\dfrac{a-b}{1-\overline{a}b}\right| \leq \frac{1}{1} = 1$$[/tex]
However, we can see that this maximum value is achieved when a and b are diametrically opposed on the unit circle,
so
[tex]$$\left|\dfrac{a-b}{1-\overline{a}b}\right| = \frac{2}{2} = 2$$[/tex]
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which of the following conditions are required for electricity to flow through a simple circuit? (choose all that apply)
Correct options are Option A and D, In series connections, the flow of electrons follow the same path as the current remains constant in all the elements of the circuits. And the total resistance of the circuit increases as more resistors are added to the circuit in serial manner.
There are both active and passive components in a circuit. The flow of current and potential drop across the passive devices will also be determined based on the connections between them.
Similar to how the voltage drop will remain the same even if the passive devices are connected in parallel, the current flow through each device will vary. Similar to this, if the passive devices are wired in series, the potential drop will change but the current flow will remain constant.
Due to the constant current flowing through all of the circuit's components in series connections, electrons follow the same route. And as more resistors are added to the circuit, its overall resistance rises.
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Complete question -
Which of the following statements accurately describes a series circuit? Select all that apply.
The flow of electrons follow the same path.
The flow of electrons split and follow different paths.
Different amounts of charge will be dropped across each resistor in the circuit.
The total resistance of the circuit increases as more resistors are added to the circuit.
The total resistance of the circuit decreases as more resistors are added to the circuit.
A box with a mass of 0.8 kg placed on a 2.5 m high shelf. How large is GPE of the box?
You slide across an icy sidewalk. According to Newton's first law, why are you
in motion?
• A. A force overcame your inertia.
• B. There is no air resistance.
O C. Inertia caused you to accelerate.
O D. You are subject to balanced forces.
Answer:
A.
Explanation:
According to newton's first law, we are in motion because a force overcame my inertia. Newton's first law states that a body will continue to stay at rest or move under uniform velocity unless acted upon by an external force.
Di's velocity, in miles per hour, t minutes after entering the interstate highway is given below. v(t) = − 1 200 t3 + 3 20 t2 − 3 8 t + 60 t ≤ 30 What was Di's average velocity, in miles per hour, from the interval t = 5 min to t = 10 min? (Round your answer to two decimal places.)
The change in position can be calculated as the difference in the outputs of the velocity function for the two values of t: Δx = v(10) - v(5)
Is velocity and speed similar?Velocity and speed are related but distinct concepts in physics. Speed is a scalar quantity that measures the magnitude of an object's velocity. Velocity, on the other hand, is a vector quantity that specifies both the magnitude and direction of an object's motion.
Is velocity a vector quantity?Yes, velocity is a vector quantity. Velocity defines the rate of change of an object's position with respect to time. It specifies both the magnitude and direction of an object's motion. This means that velocity has both magnitude and direction, which makes it a vector quantity.
Δt = 10 - 5 = 5 minutes
So the average velocity over the time interval can be calculated as:
v(avg) = Δx / Δt = (v(10) - v(5)) / (10 - 5)
v(avg) = (4.0 - 2.2) / 5 = 1.8 / 5 = 0.36 miles per hour
So Di's average velocity from t = 5 minutes to t = 10 minutes was 0.36 miles per hour.
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can generate heavy surf h strongest winds near the surface [ choose ] weakens with height [ choose ] energy source is horizontal temperature differences [ choose ] cold-core low [ choose ] air in the center is rising
A hurricane is a warm-core tropical cyclone fueled by latent heat release from the condensation of moist air, while a mid-latitude cyclone is a cold-core low-pressure weather system caused by the convergence of warm and cold air masses leading to the ascent of air and precipitation.
The following characteristics are applied to only a hurricane (H), to only a mid-latitude cyclone (MLC), or could apply to both a hurricane and a mid-latitude cyclone (BOTH), in the Northern Hemisphere:
Can generate heavy surf: HStrongest winds near the surface: Hweakens with height: BOTHenergy source is horizontal temperature differences: Hcold-core low: MLCair in the center is rising: MLCTo learn more about mid-latitude cyclone visit: https://brainly.com/question/3989534
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Your question seems to be missing, but I suppose the question was:
"For each of the following characteristics, choose whether it applies to only a hurricane (H), to only a mid-latitude cyclone (MLC), or could apply to both a hurricane and a mid-latitude cyclone (BOTH), in the Northern Hemisphere.
can generate heavy surf:
Strongest winds near the surface:
weakens with height:
energy source is horizontal temperature differences:
cold-core low:
air in the centre is rising:"
Two discs are mounted on thin, lightweight rods oriented through their centers and normal to the discs. These axles are constrained to be vertical at all times, and the discs can pivot frictionlessly on the rods. The discs have identical thickness and are made of the same material, but have differing radii r 2r and 2-r. As shown in the figure, viewed from the top, the discs are given counterclockwise (positive) angular velocities and , respectively and brought into contact at their edges. The discs then interact via friction. After a long time the discs settled at nonzero angular velocities without slipping relative to each other. Let the initial and final angular velocities of the discofradius ri be o,-20) and ω,-ω respectively, with ω>0 . Ignore effects associated with the vertical rods. Find the initial angular velocity of the disc of radius r2, we冫wor-t
The law of conservation of angular momentum can be used to determine the final angular velocity of the disc with radius r1, f. The two discs must have equal initial and final angular momenta.
What makes the two discs used in the experiment different from one another?
Two discs are utilized in the experiment, and they are both made of the same material and have the same thickness. One disc has a radius of r, while the other has a radius of 2r. This is how the two discs differ from one another.
The interaction between the two discs when they come into contact and their final angular velocities are both impacted by this difference in radii, making it significant. The radii's difference
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An electron is constrained to the central axis of the ring of charge of radius R in figure, with z≪R. Show that the electrostatic force on the electron can cause it to oscillate through the ring centre with an angular frequency ω= 4πε 0
mR 3
eq
,
where q is the ring's charge and m is the electron's mas
A resorting force, it pushes the electron towards the direction of the equilibrium point z=0.
Additionally, the force's magnitude is proportional to z, precisely as it would be if the electron were fastened to a spring with the spring constant k=eq/4R 3.
What generates the electrostatic force and static electricity?When the positive and negative charges are out of balance, static electricity is produced. While electrons like to hop all over the place, protons and neutrons don't move around very much. A negative charge is present when an item (or person) possesses more electrons.
The angular frequency of the electron's simple harmonic motion, where m is its mass, is given by = m k = 4 0m R 3 eq.
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Focal length of a convex lens in air is 25 cm. If it is immersed in water, then calculate the
focal length of the lens. (nw
=
4
3
, ng
=
3
2
)
Answer:the focal length of the convex lens in water is 33.33 cm.
Explanation:The formula for the change in focal length of a lens when it is immersed in a medium with a different refractive index is given by:
f' = f * (n2 / n1), where f is the focal length in air, n1 is the refractive index of air, and n2 is the refractive index of the new medium.
Given that n1 = 1 (refractive index of air) and n2 = 4/3 (refractive index of water),
f' = 25 * (4/3 / 1) = 25 * (4/3) = 33.33 cm
So, the focal length of the convex lens in water is 33.33 cm.
use the impulse-momentum theorem to find how long a stone falling straight down takes to increase its speed from 4.2 m/s to 10.0 m/s .
It takes the stone 0.588 seconds to increase its speed from 4.2 m/s to 10.0 m/s.
To solve for the time it takes a stone falling straight down to increase its speed from 4.2 m/s to 10.0 m/s using the impulse-momentum theorem, we can use the equation:
Δp = mΔv
where Δp is the change in momentum,
m is the mass of the stone, and Δv is the change in velocity.
The initial velocity of the stone is 4.2 m/s and the final velocity is 10.0 m/s, so the change in velocity is:
Δv = 10.0 m/s - 4.2 m/s = 5.8 m/s
Since the stone is only under the influence of gravity, we can assume that the net force acting on the stone is equal to its weight (mg), and therefore the change in momentum is:
Δp = mΔv
= m(10.0 m/s - 4.2 m/s)
= m * 5.8 m/s
We can use the above equation to find the time it takes for the velocity to change by solving for t:
t = Δp/F = Δp/(mg) = Δv/g
where t is the time, F is the net force (mg), and g is the acceleration due to gravity (9.8 m/s^2).
Substituting the values:
t = Δv/g = 5.8 m/s / 9.8 m/s^2 = 0.588 s
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Explain how constructive interference is formed by the waves. Include in your answer the effect on your senses if they are sound waves.
When two wave superposed in same phase, constructive interference is formed.
What is interference?According to the definition of interference, it is the phenomenon in which two or more waves combine to create a new wave that has a bigger, smaller, or the same amplitude.
The resulting sound wave is created by adding the amplitudes of two sound waves that are travelling in the same direction and in phase with one another. In this instance, it is claimed that the sound waves experienced constructive interference. The waves experience upward displacement when they encounter constructive interference.
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find vm the muzzle velocity of the ball (i.e., the velocity of the ball at the spring's equilibrium position y
a. The muzzle velocity of the ball is 6.86 m/s.
b. The maximum height of the ball is 2.40 m.
The complete question is in the attachment. Look at the picture. The ball will move in two parts
From P to QAccording to Hooke's law F = k Δx
k = spring constantF = k Δx
F = 667 ×0.23
F = 153.41 N
According to Newton's second law F = ma
m = mass (kg)a = F ÷ m = 153.41 ÷ 1.50
a = 102.27 m/s²
According to non-uniform motion
v₂ = v₁ + at
v₂² = v₁² + 2ad
d = v₁ × t + 0.5 at²
t = time (s)d = distance (m)v₁ = initial velocity (m/s)v₂ = final velocity (m/s)a = acceleration (m/s²)From P to Q
v₁ = 0 (the ball at its rest)a = 102.27 m/s²d = Δx = 23.0 cm = 0.23 mv₂² = v₁² + 2adFrom Q to R
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when the following metals are heated in a flame, they give off characteristic colored light. which metal gives off light with the shortest wavelength?
12.which of the following variations would increase the force experienced by the egg upon landing? select all that apply. increase the mass of the egg. decrease the mass of the egg. increase the drop height decrease the drop height. change the surface to a hard floor change the surface to a box of foam.
The following variations would increase the force experienced by the egg upon landing:
Increase the mass of the egg
Increase the drop height
Change the surface to a hard floor
And the following variations would decrease the force experienced by the egg upon landing:
Decrease the mass of the egg
Decrease the drop height
Change the surface to a box of foam.
Force experienced by an egg upon landing is determined by the formula: Force = mass x acceleration, where acceleration is due to gravity and is equal to 9.8 m/s².
Force is a physical quantity that measures the push or pull on an object. It is a vector quantity, meaning it has both magnitude and direction. Forces can cause an object to accelerate, change its shape, or alter its motion. There are several types of forces, including gravitational, electromagnetic, and strong and weak nuclear forces. The most commonly studied force is the force of gravity, which is the force that attracts two masses towards each other. Friction, air resistance, and tension are examples of contact forces, while the force exerted by a magnet is an example of a non-contact force. Newton's laws of motion describe the relationship between forces and motion, and are widely used in physics and engineering.
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For the given circuit (Figure 1). assume the make-before-break switch has been up for a long time and moves down at t = 0. Find the initial current through the inductor. Assume that Is = 90.0mA . R1 = 28.0k ohm . R2 = 50.0k ohm . and L = 79.0mH . Express your answer to three significant figures and include the appropriate units.
Given data according to circuit is , Is=90mA, R1= 28 K, R2= 50 K, L=79mH.
complete step by step solution is given below in the image.
What is called a circuit?Individual electronic components such as resistors, transistors, capacitors, inductors, and diodes are connected by conductive wires or traces through which electric current can flow to form an electronic circuit. It is a form of electrical circuit, and in order for it to be called electronic rather than electrical, at least one active component must be present. The combination of components and wires enables the execution of a variety of simple and complicated processes, including as signal amplification, calculation, and data transfer.
Using Kirchhoff's voltage law (KVL) in the clockwise direction starting from the node to the left of R1, we have:
IsR1 - I_LL - I_L*R2 = 0
where I_L is the current through the inductor at time t=0.
Simplifying and solving for I_L, we get:
I_L = Is * R1 / (R1 + R2)
Substituting the given values, we get:
I_L = (90.0 mA) * (28.0 kΩ) / (28.0 kΩ + 50.0 kΩ)
I_L = 35.4 mA
Therefore, the initial current through the inductor is 35.4 milliamperes.
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25. a charged particle of mass m and charge q is travelling in a uniform magnetic field with speed v such that the magnetic force on the particle is f. the magnetic force on a particle of mass 2m, charge q and speed 2v travelling in the same direction in the magnetic field is
As a result, the magnetic force acting on the second particle is twice as powerful as the magnetic force acting on the first particle.
What is magnetic field?A magnetic field is a vector field that explains the magnetic impact on moving charges, currents, and magnetic materials. A moving charge in a magnetic field is subjected to a force that is perpendicular to both its own velocity and the magnetic field. Magnetic fields form anytime charge moves. The intensity of a magnetic field grows as more charge is moved. Magnetism and magnetic fields are manifestations of the electromagnetic force, one of nature's four basic forces.
Here,
The magnetic force on a charged particle is given by the equation:
f = qvB
where f is the magnetic force, q is the charge, v is the velocity of the particle, and B is the magnetic field strength.
For the first particle, the magnetic force is:
f = qvB
For the second particle, the magnetic force is:
f' = q(2v)B = 2qvB = 2f
As a result, the magnetic force on the second particle is twice as strong as the magnetic force on the first particle.
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Use the small-angle formula to calculate the angular diameter (in arc minutes) of Jupiter (d = 1.43 ✕ 105 km) as seen from Earth if Jupiter were at the location of the Sun (D = 1.5 ✕ 108 km).
The angular diameter of Jupiter as seen from Earth if Jupiter were at the location of the Sun would be 50.1 arc minutes.
What is angular diameter?The angular diameter is described as an angular distance describing how large a sphere or circle appears from a given point of view.
The formula for angular diameter is given by:
θ = 2 * arctan(d / (2 * D))
substituting the values, we have :
θ = 2 * arctan(1.43 ✕ 105 / (2 * 1.5 ✕ 108)) = 2 * arctan(0.00000953333)
The result is in radians, so we to convert it to arc minutes:
θ (in arc minutes) = θ (in radians) * (60 minutes/degree) * (1 degree/radian) = (2 * arctan(0.00000953333)) * (60) * (180/π) = 50.1 arc minutes.
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you throw a rubber duck straight into the air and let it fall back down before you catch it. describe the direction of the velocity and acceleration vectors during the motion for the rubber duck. group of answer choices velocity and acceleration vectors will point in opposite directions for the whole motion. velocity and acceleration vectors will point in the same direction for the whole motion. velocity and acceleration will point in the same direction until the rubber duck falls back towards you. then, both vectors will then point in opposite directions. acceleration is zero for the whole motion. velocity and acceleration will point in opposite directions until rubber duck falls back towards you. then, both vectors will then point in the same direction.
As the ball is going upward, it is decelerating which is negative acceleration. The first option is the right answer.
What is Acceleration ?Acceleration can be defined as the velocity change per time taken. It is a vector quantity.
Given that a rubber duck is thrown straight into the air and allowed it to fall back down before catching it.
To describe the direction of the velocity and acceleration vectors during the motion for the rubber duck, the followings must be noted.
As the ball is going up, the velocity direction is opposite to the direction of acceleration because the ball will be decelerating. That is, velocity will be positive while acceleration will be negative. The reverse is the case when the ball is coming downward. That is, velocity will be negative while acceleration will be positive.
Therefore, velocity and acceleration vectors will point in opposite directions for the whole motion.
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n a typical greyhound race, a dog accelerates to a speed of 20 m/s over a distance of 30 m . it then maintains this speed
A greyhound's time in a 100 m dash would be around 4.5 seconds, as it takes approximately 0.75 seconds to reach its maximum speed of 20 m/s and the remaining distance is covered at a constant speed of 20 m/s.
The time a greyhound takes to reach its maximum speed is determined by its acceleration and the distance it covers during this time. This acceleration phase takes approximately 0.75 seconds, as the dog covers 30 m over this distance. The time to cover the remaining 70 m at a constant speed of 20 m/s is 3.5 seconds, making the total time to cover the 100 m dash around 4.5 seconds.
The calculation for a greyhound's time in a 100 m dash can be represented as follows:
t = t_acceleration + t_constant_speed
t = (d_acceleration / v_initial + v_final) / a + d_constant_speed / v_final
where:
t = time to cover the 100 m dash
t_acceleration = time to reach maximum speed of 20 m/s over a distance of 30 m
t_constant_speed = time to cover the remaining distance of 70 m at a constant speed of 20 m/s
d_acceleration = distance covered during acceleration phase
v_initial = initial speed (assumed to be 0 m/s)
v_final = final speed (20 m/s)
a = acceleration (not specified, so not used in the calculation)
d_constant_speed = remaining distance (70 m)
t = (30 m / 0 + 20 m/s) / a + 70 m / 20 m/s
t = (0.75 s) + (3.5 s)
t = 4.25 s
Therefore the time it takes to cover a 100 m dash is 4.5 seconds.
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Your question seems missing, but I suppose the question was:
"In a typical greyhound race, a dog accelerates to a speed of 20 m/s over a distance of 30 m. It then maintains this speed. What would be a greyhound’s time in the 100 m dash?"
a ball thrown straight upward takes 10 seconds for its up-and-down round trip. because of air resistance, the time taken for the ball just to go up is
A straight upward thrown ball takes 10 seconds to complete its up-and-down circular journey. Because of air resistance, the time required for the ball to simply rise is less than 5 seconds.
What is air resistance?Drag is a force in fluid dynamics that acts in the opposing direction of any object moving with regard to a surrounding fluid. This is possible between two fluid layers or between a fluid and a solid surface. Air resistance is a force created by air. When an item moves through the air, the force operates in the opposite direction. A truck with a flat front will have significant air resistance, but a sports car with a streamlined form will have lesser air resistance, allowing the car to travel quicker.
Here,
A ball thrown straight upward takes 10 seconds for its up-and-down round trip. because of air resistance, the time taken for the ball just to go up is less than 5 seconds.
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A set S◆ of vertices in a graph is independent if no two vertices of S◆ are ?
An Independent Set S of graph G = (V, E) is a set of vertices such that no two vertices in S are adjacent to each other. It consists of non-adjacent vertices.
What is a Vertice?A vertex is a location in geometry where two or more curves, lines, or edges converge.
As a result of this definition, vertices are the intersection of two lines that create an angle as well as the corners of polygons and polyhedra.
Hence, in order to find when a set of vertices in a graph is independent, this means that no two vertices in S are adjacent to each other. It consists of non-adjacent vertices.
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A car travels at 85 km/h on a level road in the positive direction of an x axis. Each tire has a diameter of 62 cm. Relative to a woman riding in the car, what are the following values? (a) the velocity v at the center of each tire ( __ m/s) (b) the velocity v at the top of each tire ( ___ m/s) (c) the velocity v at the bottom of each tire ( __m/s) (d) the magnitude a of the acceleration at the center of each tire __m/s2 (e) the magnitude a of the acceleration at the top of each tire __m/s2 (f) the magnitude a of the acceleration at the bottom of each tire __m/s2 Relative to a hitchhiker sitting next to the road, what are the following values? (g) the velocity v at the center of each tire ( __ m/s) (h) the velocity v at the top of each tire ( __m/s) (i) the velocity v at the bottom of each tire ( __m/s) (j) the magnitude a of the acceleration at the center of each tire __m/s2 (k) the magnitude a of the acceleration at the top of each tire __ m/s2 (l) the magnitude a of the acceleration at the bottom of each tire__ m/s2
(a) Velocity v at the center of each tire = 37 m/s
(b) Velocity v at the top of each tire = 37 + (31 cm/s) = 37.31 m/s
(c) Velocity v at the bottom of each tire = 37 - (31 cm/s) = 36.69 m/s
(d) Magnitude a of the acceleration at the center of each tire = 0 m/s² (the car is moving at a constant speed)
(e) Magnitude a of the acceleration at the top of each tire = (1/2) * (31 cm/s²) = 15.5 cm/s²
(f) Magnitude a of the acceleration at the bottom of each tire = -(1/2) * (31 cm/s²) = -15.5 cm/s²
(g) Velocity v at the center of each tire = 85 km/h = 23.61 m/s
(h) Velocity v at the top of each tire = 23.61 + (31 cm/s) = 23.9461 m/s
(i) Velocity v at the bottom of each tire = 23.61 - (31 cm/s) = 23.2839 m/s
(j) Magnitude a of the acceleration at the center of each tire = 0 m/s² (the car is moving at a constant speed)
(k) Magnitude a of the acceleration at the top of each tire = (1/2) * (31 cm/s²) = 15.5 cm/s²
(l) Magnitude a of the acceleration at the bottom of each tire = -(1/2) * (31 cm/s²) = -15.5 cm/s²
Car Tire Velocity, AccelerationThe velocity of the center of each tire relative to a woman riding in the car is equal to the velocity of the car, which is 85 km/h, or 37 m/s. The velocity of the top of each tire is equal to the velocity of the center plus the tangential velocity due to the rotation of the tire, which can be calculated as the circumference of the tire divided by the time it takes to complete one revolution. The magnitude of the acceleration at the center of each tire is zero because the car is moving at a constant speed.
The velocity of the center of each tire relative to a hitchhiker sitting next to the road is equal to the velocity of the car relative to the road, which is 85 km/h, or 23.61 m/s. The velocity of the top and bottom of each tire can be calculated similarly to the velocity relative to the woman in the car. The magnitude of the acceleration at the center, top, and bottom of each tire is still zero, because the car is still moving at a constant speed relative to the road.
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. show answer no attempt 50% part (a) during this period, what is the dragster's acceleration expressed as a multiple of the acceleration due to gravity, g?
Acceleration may now be increased without running the risk of dominating the track because the dragster has grown in speed and the large rear wing's downforce is now pressing the car down onto the track surface.
What exactly does speed mean?the definition of speed. a direction or speed at which an object's location changes. The distance traveled relative to the time it took to travel that distance is how fast something is moving. Due to its lack of magnitude and merely having a direction, speed is indeed a scalar number.
Which of these is the first speed rule?Newton's first law states that a body will continue to move until it is acted on by an external power if it is at rest or moving in a specific direction at a fairly constant pace.
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A ball of mass m is thrown straight upward from ground level at speed vo. At the same instant, at a distance D above the ground, an- other ball of mass m is thrown straight down- ward toward the first ball, also at speed vo. Assume that gravity acts vertically downward on each mass m with a magnitude mg. Do te How far above the ground do the balls col- lide (in terms of only D, vo, and g)? Each ball has a diameter much smaller than the distance D 1. 2 (1부) g D 4. D 14 2 2 (222
As a result, the balls meet precisely at the height of the first ball's maximum height, given by h=(vo² / 2g)*0.5.
What is distance?The quantity or size of displacement between two places is defined as distance. It is important to note that the distance between two points is not the same as the distance traveled between them. The total length of the path traveled between two points is referred to as the distance traveled. Distance is the length of an object's route, whereas displacement is merely the distance between where the thing began and where it finished up. The complete length of an object's real route is referred to as distance. The displacement of an item between two places is the straight line (shortest) distance between those points, directed from one position to the other.
Here,
Let t be the time taken for the first ball to reach its maximum height, and let t' be the time taken for the second ball to reach the same height.
The first ball reaches its maximum height in t = vo / g, and the height of the second ball after t' seconds is given by,
h = D - (vo * t')² / 2g.
Setting t = t' and solving for t, we find that
t = (2D / g)*0.5.
The height of the first ball after t seconds is
h = vo * t - 0.5g * t²
= (vo² / 2g)*0.5 * (2D)*0.5 - 0.5g * (2D / g)
= (vo² / 2g - gD)*0.5.
The balls collide when h = 0, so
0 = (vo² / 2g - gD)*0.5.
Squaring both sides, we find
0 = vo² / 2g - gD.
Solving for D, we find
D = vo² / 2g * 2 = vo² / g.
So the balls collide exactly at the height of the first ball's maximum height, which is given by h = (vo² / 2g)*0.5.
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In Fig. 2-2, what is the displacement from 0 to 6.0 s?
A. 20 m
B. 60 m
C. 80 m
D. 40 m
The displacement of the object from 0 to 6.0 seconds is 80m.
option C.
What is the displacement of the object?
The displacement of the object from 0 to 6.0 seconds is calculated by finding the area of the shape formed between 0 and 6 seconds.
displacement = area of trapezium
Area of trapezium ( 0 to 6 seconds ) = ¹/₂ ( a + b ) h
where;
a is equal to 6 secondsb is equal to 4 s - 2 s = 2 sh is the height = 20 m/sArea of the trapezium = ¹/₂ ( 6s + 2s ) 20 m/s = 80 m
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figure p2.39 shows a water turbine located in a dam. the volume flow rate through the system is 5000 gpm. the exit pipe diameter is 4 ft. calculate the work done by (or power received from) the water as it flows through the dam. (compare to the results of the example problem in this chapter.)
The work done by or power received from the water as it flows through the dam is 151,129.76 h (W).
The work done by the water as it flows through the dam can be calculated using the principle of conservation of energy. The work done is equal to the change in the potential energy of the water as it falls through the dam and turns the turbine.
The formula for the work done by the water is given by:
= W
= ρ x g x h x Q
here W is work done (in J), ρ is density of water (in kg/m^3), g is acceleration due to gravity (in m/s^2), h is height difference between the inlet and outlet of the turbine (in m), and Q is volume flow rate (in m^3/s).
To convert the volume flow rate from gpm to m^3/s, we can use the conversion factor:
= 1 gpm
= 0.00378541 m^3/s
So, the volume flow rate in m^3/s is:
= 5000 gpm x 0.00378541 m^3/s/gpm
= 18.927 m^3/s
To convert the exit pipe diameter from ft to m, we can use the conversion factor: 1 ft = 0.3048 m
So, the exit pipe diameter in m is: 4 ft * 0.3048 m/ft = 1.2192 m
Using these values, we can calculate the work done by the water as follows:
W = ρ x g x h x Q
W = 1000 kg/m^3 x 9.8 m/s^2 x h x 18.927 m^3/s
W = 18,927 x 9.8 x h (kg x m/s^2)
W = 186,100 h (J)
The height difference (h) cannot be determined from the information given, so the work done by the water cannot be calculated exactly. However, we can calculate the power received from the water by dividing the work done by the time taken for the water to flow through the turbine.
= P
= W / t
where P is the power (in W), and t is the time (in s). The time can be calculated as follows:
= t
= Q / v
where v is the velocity of the water at the exit of the turbine (in m/s). The velocity can be calculated using the formula:
= v
= Q / A
here A is the cross-sectional area of the exit pipe (in m^2).
A = π x (d/2)^2
here d is diameter of the exit pipe (in m).
So, the velocity of the water is:
v = Q / A
v = 18.927 m^3/s / π x (1.2192/2)^2 m^2
v = 15.39 m/s
And the time taken for the water to flow through the turbine is:
t = Q / v
t = 18.927 m^3/s / 15.39 m/s
t = 1.23 s
Finally, the power received from the water is:
= P
= W / t
P = 186,100 h (J) / 1.23 s
P = 151,129.76 h (W)
This is the theoretical power received from the water as it flows through the dam. In practice, the actual power output of the turbine will be lower due to various losses such as friction, turbulence, and air resistance.
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An 18-kilogram bowling ball is rolling in a straight line toward you. If its momentum is 6.8 kg*m/s, how fast is it traveling?
The velocity of the bowling with a mass of 18 kg and momentum of 6.8 kg m/s would be 0.378 m/s
Newton's law of motion states that all moving bodies will remain in the state of rest or motion until they are disrupted by some external force. When it comes to momentum, the same principle that applies to mass and velocity also applies; specifically, if an object's mass and velocity do not change, then the object's momentum will not change either. To calculate momentum, we can use this following formula:
P = m v
Where:
P = momentum of the object
m = mass of the object
v = velocity of the object
Thus, the velocity of the bowling ball is
P = m v
6.8 kg m/s = 18 kg . v
v = (6.8 kg m/s) ÷ (18 kg)
v = 0.378 m/s
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Please help im stuck i need to complete an acrostic poem for homework. It should be about embryonic similarities and the information scientists use to support evolution.
Using these letters to start each sentence
E
M
B
R
Y
O
N
I
C
The Embryonic similarities have been a strong lead in the study of evolution.
How does embryonic similarities support evolution?Embryonic similarities are a type of evidence that support the theory of evolution by natural selection. The theory of evolution proposes that all living organisms share a common ancestry and have changed over time through the process of natural selection.
In summary, embryonic similarities support the theory of evolution by providing evidence of a shared ancestry and helping to explain the mechanisms of evolution.
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