Heat transfer between a person and the environment occurs through the processes of convection, conduction, and radiation. The rate of heat transfer depends on factors such as the temperature difference between the person.
What is a conduction ?Conduction is a process of heat transfer that occurs through a material or between two materials that are in direct contact with each other. In this process, heat flows from a region of higher temperature to a region of lower temperature through molecular collisions. The heat energy is transferred through the material or the contact surface by means of the vibration and movement of the molecules.
Conduction is responsible for heat transfer in solids, such as metals, ceramics, and polymers, and it can also occur between different solids in contact with each other. The rate of conduction depends on several factors, including the thermal conductivity of the material, the temperature difference between the two regions, the thickness of the material, and the surface area of contact.
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the intensity of the sound of a television commercial is 10 times greater than the intensity of the television program it follows. by how many decibels does the loudness increase?
The television commercial loudness increases by 10 decibels.
Increase in the Intensity of soundThe decibel (dB) scale is a logarithmic measure of sound intensity. The intensity of a sound is measured in watts per square meter and the decibel scale is a way to express the relative loudness of a sound, compared to a reference level.
A 10 dB increase in intensity is a 10-fold increase in sound power. This means that a sound with an intensity of 10 watts per square meter is 10 times louder than a sound with an intensity of 1 watt per square meter.
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a square loop 5 cm on each side carries a 500 ma current. the loop is within a uniform magnetic field of 1.2t. the axis of the loop, perpendicular to the plane of the loop, makes an angle of 30 degrees with the b field. what is the magnitude of the torque on the current loop?
The magnitude of the torque on the current loop is calculated using the formula τ=BIA sinθ, where B is the magnitude of the magnetic field, I is the current, A is the area of the loop, and θ is the angle between the magnetic field and the loop's plane. In this case, the magnitude of the torque is τ = (1.2 T)(0.5 A)(5 cm x 5 cm)sin(30°) = 7.5 x 10-3 Nm.
The torque is the rotational force that causes the loop to rotate. This is due to the fact that a force is exerted on the loop by the magnetic field when there is a current running through it. This force generates a torque on the loop, which will cause it to rotate until the angle between the plane of the loop and the magnetic field is 0°.
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suppose an asteroid had an orbit with a semimajor axis of 4 au. how long would it take for it to orbit once around the sun? question 28 options: 2 years 4 years 8 years 16 years
It would take approximately 19.2 years for the asteroid to orbit once around the sun. But that none of the answer choices match the calculated value of approximately 19.2 years.
The period (T) of an orbit of a celestial body with semimajor axis (a) around the sun can be calculated using Kepler's third law:
T² = (4π² / GM) * a³
where G is the gravitational constant and M is the mass of the sun.
Plugging in the given value for the semimajor axis (a = 4 AU), we get:
T² = (4π² / (6.674 × 10⁻¹¹ m³/(kg s²) * 1.989 × 10³⁰ kg)) * (4 AU)³
T² = 3.652 × 10¹⁶ s²
Taking the square root of both sides, we get:
T = 6.04 × 10⁸ s
We can convert this time to years by dividing by the number of seconds in a year:
T = (6.04 × 10⁸ s) / (31,536,000 s/year)
T ≈ 19.2 years
Therefore, it would take approximately 19.2 years for the asteroid to orbit once around the sun. The closest answer choice is 16 years.
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an object floating in a container of water and partially submerged has the same density as the water. question 2 options: true false
The given statement "an object floating in a container of water and partially submerged has the same density as the water" is true.
When an object is placed in water, it sinks until the weight of the water displaced by the object equals the weight of the object.
If an object has the same density as water, it displaces an equal amount of water to its own weight. When it displaces the same amount of water that has an equivalent mass to the object, it will float partially submerged. If the object's density is greater than water, it will sink. If the object's density is less than that of water, it will float entirely above the water's surface.
Density is defined as the mass of an object per unit volume. The formula for density is mass/volume. Density is a crucial physical property that is used to define and classify materials. The density of an object is determined by its mass and volume. The unit of measurement for density is kg/m3 or g/cm3. The density of water is 1 g/cm3, which is why objects with a density of less than 1 g/cm3 float on water.
An object floating in a container of water and partially submerged has the same density as the water.
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What would you expect the force to be if the distance was 30 meters? How did you come up with your answer?
The force would be 6 Newtons for a distance of 30 metres.
What connection exists between distance and force?A force is defined as any influence that results in a change in an object. Distance is the amount of distance that an object moves over time. A force is applied to an item, and the more force is applied, the farther the thing will move.
What is distance-based force?Action-at-a-distance forces are those that develop even when the two interacting objects are not in close proximity to one another but are nevertheless able to push or pull against one another despite this physical gap.
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what two forces act on a monkey hanging stationary by a vertical vine? which force, if either, is greater?
Two forces act on a monkey hanging stationary by a vertical vine: gravity and the tension of the vine. Gravity is the greater force in this situation because it is a constant force that acts downwards.
The two forces that act on a monkey hanging stationary by a vertical vine are tension and gravity. The tension force acts along the vine and pulls the monkey upwards, while the gravity force acts downwards towards the center of the Earth.
If the monkey is stationary, then the two forces are equal in magnitude and opposite in direction. This is because the tension force is balancing the gravity force, resulting in no net force acting on the monkey.
Therefore, if neither of the forces are greater than the other as they are equal in magnitude and opposite in direction.What is tension force?The force exerted by a string, rope, chain, or similar object on another object that it is connected to is referred to as tension. The tension is always directed along the length of the string and away from the object's surface that the string is attached to. When an object is suspended from a rope, the tension force on the rope is equal to the weight of the object (due to gravity), and this tension force is transmitted through the rope to any other objects that the rope is attached to.
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when lighted, a 100-watt light bulb operating on a 110-volt household circuit has a resistance closest to
When lighted, a 100-watt light bulb operating on a 110-volt household circuit has a resistance closest to 0.99 ohms.
Resistance refers to the electrical property of a circuit component, such as a light bulb, that resists the flow of electrical current through it.
Ohm's law is a fundamental principle in electrical engineering that relates the resistance, voltage, and wattage in a circuit. It states that the resistance (R) is equal to the voltage (V) divided by the wattage (W).
W = 100 watts, V = 110 volts.
Use Ohm’s law to calculate the resistance (R):
R = V/W = 110/100 = 0.99 ohms.
Therefore, when a 100-watt light bulb is operating on a 110-volt household circuit, its resistance is approximately 0.99 ohms.
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two stationary point charges q1 and q2 are shown in the figure along with a sketch of some field linesrepresenting the electric field produced by them. what can you deduce from the sketch?
From the sketch, we can deduce that the two charges q1 and q2 are of opposite signs, as field lines start at the positive charge q1 and end at the negative charge q2. The field lines also indicate that the magnitude of the electric field produced by q1 is larger than that of q2.
Additionally, the field lines show that the electric field lines near the charges are denser, indicating a stronger electric field intensity near the charges. The direction of the electric field points from q1 to q2, which is consistent with the direction of the force that a positive test charge would experience if placed in the field. The field lines also show that the electric field is radial, i.e., the field lines point directly away from or towards each charge in a straight line, which is a characteristic of the electric field produced by a point charge. Finally, the density of the field lines decreases with distance from the charges, indicating that the electric field strength decreases with distance from the charges, following an inverse-square law.Learn more about electric field at: https://brainly.com/question/14372859
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how many electrons per second enter the positive end of the battery 2? answer in units of electrons/s.
The number of electrons per second that enter the positive end of a battery can be calculated by the current flowing through the circuit and the time for which it flows.
Therefore, The formula of current is as
I = Q/t
where I is the current,
Q is the charge passing through the circuit, and
t is the time for which the current flows.
Since one electron carries a charge of -1.6 x 10⁻¹⁹Coulombs, we can calculate the number of electrons passing through the circuit using the following formula:
n = Q/e
where n is the number of electrons and
e is the charge on an electron (-1.6 x 10⁻¹⁹ Coulombs).
If we know the current flowing through the circuit and the time for which it flows, we can calculate the number of electrons per second using the following formula:
n/s = I/e
where n/s is the number of electrons per second.
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(a) when a 9.00-v battery is connected to the plates of a capacitor, it stores a charge of 27.0 mc. what is the value of the capacitance? (b) if the same capacitor is connected to a 12.0-v battery, what charge is stored?
The formula for calculating capacitance is as follows:
C = Q/V
Where,
C = capacitance (Farads)
Q = charge (Coulombs)
V = voltage (Volts)
As given,
Q = 27.0 μC
V = 9.00 V
Substituting the given values in the above equation
C = 27.0 μC/9.00 V = 3.00 μF
Therefore, the value of capacitance is 3.00 μF.
The formula for calculating charge stored is as follows:
Q = CV
Where,
Q = charge (Coulombs)
C = capacitance (Farads)
V = voltage (Volts)
As given,
C = 3.00 μF
V = 12.0 V
Substituting the given values in the above equation,
Q = (3.00 × 10⁻⁶ F) × 12.0 V = 36.0 μC
Therefore, the charge stored is 36.0 μC.
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jeff 60 kg and julia 45 kg are in two separate bumper cars 130 each. jeff was moving at 4 m/s north while julie was going 6 m/s west. julia bounces off going 2 m/s at an angle of 15 s of w. what is the final velocity and direction of jeff car
Final velocity of Jeff's car is 7.133 m/s south. The direction is 59.3° south of east.
In this issue, we can utilize preservation of energy to track down the last speed and course of Jeff's crash mobile after the impact with Julia's. Before the impact, the energy in the x-heading is zero, and in the y-course, it is 60 kg × 4 m/s = 240 kg⋅m/s north. Julia's force is 45 kg × 6 m/s = 270 kg⋅m/s west.After the crash, the energy in the x-course is rationed. The absolute energy in the x-course is as yet zero, as Julia's force that way is likewise zero. In the y-heading, the absolute force after the crash is 60 kg × vj + 45 kg × 2 m/s sin 15°, where vj is Jeff's last speed in the y-course.Utilizing protection of energy, we can compare the force when the crash in the y-heading:
60 kg × 4 m/s + 45 kg × 6 m/s = 60 kg × vj + 45 kg × 2 m/s sin 15°
Working on this situation, we get:
240 kg⋅m/s + 270 kg⋅m/s = 60 kg × vj + 12.19 kg⋅m/s
Addressing for vj, we get:
vj = (240 kg⋅m/s + 270 kg⋅m/s - 12.19 kg⋅m/s)/60 kg
vj = 7.133 m/s south
Consequently, Jeff's last speed is 7.133 m/s south. To find the course, we can utilize geometry. The point of Jeff's last speed concerning the x-pivot is given by:
θ = tan^-1(vj/4 m/s)
θ = 59.3° south of east
Accordingly, the last speed and heading of Jeff's amusement cart are 7.133 m/s at a point of 59.3° south of east.
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You're designing an external defibrillator that discharges a capacitor through the patient's body, providing a pulse that stops ventricular fibrillation. Specifications call for a capacitor storing 250 J of energy; when discharged through a body with R = 48 Ω transthoracic resistance, the capacitor voltage is to drop to half its initial value in 10 ms.
A) Determine the capacitance (to the nearest ) 10 μF).
B) Determine initial capacitor voltage (to the nearest 100 V) that meet these specs.
I need both correct answers to 2 significant figures.
a..... 1.04 x 10⁻⁴ Vi
b.... 9500 V
A) Determine the capacitance (to the nearest 10 μF).
First, we should identify the formula that we will use to solve the problem.
The formula that relates to capacitance is:
C = 2E / V². Where C is the capacitance in farads, E is the energy stored in joules, and V is the voltage across the capacitor in volts.
Converting the energy to joules, we have: E = 250J.
Now we know that the voltage needs to drop to half of its initial value in 10 ms. We can use the following formula to calculate the capacitance: C = R x t / ln(Vi / Vf) where R is the resistance in ohms, t is the time in seconds, Vi is the initial voltage, and Vf is the final voltage, which is half of the initial voltage.
B) Plugging in the given values, we get:
C = 48 x 0.01 / ln(Vi / (Vi / 2))Simplifying and solving for capacitance, we get:
C = 1.04 x 10⁻⁴ ViNow we can use the energy formula to solve for Vi:Vi = √(2E / C)
Plugging in the given values, we get:Vi = √(2 x 250 / 1.04 x 10⁻⁴)Simplifying and solving for Vi, we get:Vi = 9469 V
Therefore, the capacitance that meets these specifications is 100 μF and the initial capacitor voltage that meets these specifications is 9500 V, to the nearest 100 V.
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A skydiver of mass 95kg ,before opening his parachute, falls at t1 with V1= 11m/s and at t2 with t2 v2=27m/s; supposing friction is zero, find the distance covered between t1 and t2
The skydiver covered a distance of approximately 94.9 meters before opening his parachute between t1 and t2, assuming no air resistance or friction.
v = final velocity = v2 = 27 m/s
u = initial velocity = v1 = 11 m/s
a = acceleration = g = 9.8 m/[tex]s^2[/tex]
s = (v² - u²) / 2a
s = (27² - 11²) / (2 x 9.8) = 94.9 meters
Resistance measures an item's potential to impede the drift of electrical present-day through it. it's far measured in ohms (Ω). Resistance is decided by way of the bodily residences of an item, along with its dimensions, material, and temperature. while electric-powered present-day flows thru a conductor, it encounters resistance that slows down its float. This resistance is as a result of the collisions among electrons and the atoms inside the conductor.
Resistance can be laid low with changes inside the bodily properties of the conductor, such as duration, cross-sectional region, or temperature. an extended or narrower conductor may have higher resistance, even as a much broader conductor could have decreased resistance. understanding resistance is critical for designing and working electrical circuits. with the aid of controlling the resistance of a circuit, engineers can make sure that the appropriate amount of current flows to electricity the devices linked to it.
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the intensity of sound in a typical classroom is approxiamtely 10^-7 w/m2. what is the sound level for this noise/
The sound level for this noise is approximately 50 decibels.
Sound level is a logarithmic measure of the ratio between the sound pressure level of a particular sound wave and a reference level. The reference level is typically set at the threshold of human hearing, which corresponds to an intensity of 10^-12 W/m^2. The sound level (measured in decibels, dB) of a sound wave is given by,
L = 10 log10(I/I0)
where I is the intensity of the sound wave and I0 is the reference intensity, which is typically set at 10^-12 W/m^2.
So, for an intensity of 10^-7 W/m^2 in a typical classroom, we can calculate the sound level as,
L = 10 log10(I/I0) = 10 log10(10^-7/10^-12) = 10 log10(10^5) = 50 dB
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Two aircraft are flying toward each other at the same speed. They each emit a 800 HZ whine. what speed (km/hr) must each aircraft have an order that pitch they both hear is 2 times the emitted frequency. Hint: the speed of sound is 343m/s
Each aircraft must be moving at a speed of 85.75 km/hr towards each other to hear a pitch that is 2 times the emitted frequency.
What is frequency ?
Frequency is a physical quantity that describes the number of occurrences of a repeating event per unit of time. It is often measured in Hertz (Hz), which represents the number of cycles or vibrations per second.
In the context of waves, such as sound waves or electromagnetic waves, frequency refers to the number of complete cycles of the wave that occur in one second. A high frequency wave has more cycles per second than a low frequency wave.
Frequency is also an important concept in physics, particularly in the study of oscillations and waves. It is used to describe the behavior of systems that oscillate or vibrate, such as a simple pendulum or a guitar string. In these cases, the frequency of the oscillation is related to the natural frequency of the system, which is determined by its mass, stiffness, and other properties.
When two aircraft are moving towards each other, the sound waves from each aircraft are compressed, leading to a higher pitch than the emitted frequency. The pitch heard by the pilots of the aircraft can be calculated using the following formula:
Pitch heard = Emitted frequency * (Speed of sound + Speed of observer) / (Speed of sound - Speed of source)
Since the two aircraft are flying towards each other at the same speed, we can assume that the speed of one aircraft is x km/hr, and the speed of the other aircraft is also x km/hr. Therefore, the relative speed between the two aircraft is 2x km/hr.
Substituting the values given in the formula, we get:
2 * Emitted frequency = Emitted frequency * (343 + 2x) / (343 - x)
Simplifying this equation, we get:
686 - 2x = 343 + 2x
4x = 343
x = 85.75 km/hr
Therefore, each aircraft must be moving at a speed of 85.75 km/hr towards each other to hear a pitch that is 2 times the emitted frequency.
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A solid cylinder of mass M = 1.25 kg and radius R = 13.5 cm pivots on a thin fixed frictionless bearing a string wrapped around the cylinder pulls downward with a force of F = 7.259 N
What is the magnitude of the angular acceleration of the cylinder?
86.03259 rad/s^2
Consider that instead of force F, a block with mass 0.74 kg with force = 7.259 N is attached to the cylinder with a mass less string.
What is now the magnitude of the angular acceleration of the cylinder
39.3943 rad/s^2
How far does the mass M travel downward before T equals 0.49S and T equals 0.69 S.
0.62755 m
The cylinder is changed to one with the same mass and radius but a different moment of inertia starting from mass starting from rest. The mass is now moved. The distance of 0.448 mass in the time interval of 0.47 seconds.
Find the Inertia of the new cylinder
The inertia of the new cylinder is 0.0566 kgm². Other answers provided are correct.
How to find inertia?The moment of inertia of the new cylinder can be calculated using the formula:
I = (M × d²) / (4 × Δθ)
Where:
M = mass of the cylinder
d = distance moved by the mass
Δθ = change in angular displacement (in radians)
Substituting the given values:
I = (1.25 × 0.448²) / (4 × 0.47)
I = 0.0566 kgm²
Therefore, the moment of inertia of the new cylinder is 0.0566 kgm².
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an n-type piece of silicon experiences an electric field equal to 0.1v/m. (a) calculate the velocity of electrons and holes in this material
In an n-type piece of silicon, the electric field causes the electrons to accelerate due to the attractive force between the negatively charged electrons and the positively charged electric field. This acceleration causes the electrons to reach a velocity of V = E/μ, where E is the electric field (0.1V/m) and μ is the mobility of electrons in silicon (1350 cm2/V⋅s). Therefore, the velocity of electrons in this material would be equal to 0.1V/m/1350cm2/V⋅s = 0.0741 cm/s.
The holes, on the other hand, experience a repulsive force due to the positive electric field. This causes the holes to decelerate, with a velocity of V = -E/μ. Therefore, the velocity of holes in this material would be equal to -0.1V/m/1350cm2/V⋅s = -0.0741 cm/s.
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use the impulse-momentum theorem to find how long a falling object takes to increase its speed from 4.23 m/s to 10.47 m/s?
The time it takes the object to fall through the change in speed using the impulse-momentum theorem is 0.62 seconds.
What is impilse-momentum theorem?
The impulse-momentum theorem states that the change in momentum of an object is equal to the impulse exerted on it.
To calculate the time it takes the object to increase it speed using the impulse-momentum theorem, we use the formula below.
Formula:
Ft = m(v-u)Ft/m = (v-u)Recall that F/m = acceleration. Therefore,
at = v-ua = (v-u)/t.......................... Equation 1Where:
a = Acceleration due to gravityv = Final velocityu = Initial velocityt = TimeFrom the question,
Given:
v = 10.47 m/su = 4.23 m/sg = 9.8 m/s²Substitute these values into equation 1 and solve for t
9.8 = (10.27-4.23)/tt = (10.27-4.23)/9.8t = 6.04/9.8t = 0.62 secondsHence, the time it takes the object to fall is 0.62 seconds.
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two students sit on a seesaw in a way that makes it balance and not move. when a third person pushes down on one side, that side moves down. what caused the seesaw to move?
The seesaw moved when a third person pushed down on one side. This is because the seesaw is a simple machine that consists of a long plank balanced in the middle with a pivot point that allows it to move up and down.
When the two students sit on the seesaw in a way that makes it balance and not move, they are evenly distributed on each end. However, when the third person pushes down on one side, this distribution of weight becomes unequal, and the seesaw moves in the direction of the heavier side.
The heavier end of the seesaw moves down while the lighter end moves up. This is because the heavier side creates more force, or torque, on the pivot point, causing the seesaw to tilt towards that side.
As a result, the seesaw moves and is no longer in balance.
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if a current of 5.5 a is used, what is the force generated per unit field strength on the 20.0 cm wide section of the loop? use units of newtons per tesla.
The force generated per unit field strength on a 20.0 cm wide section of the loop with a current of 5.5 A is: 0.001 newtons per tesla
The force generated per unit field strength on a 20.0 cm wide section of the loop with a current of 5.5 A is given by the formula F = (μI) / 2πr,
where μ is the permeability of free space, (4π x 10-7 N/A²)
I is current, and r is the radius of the loop.
In this case, the force is (4π x 10-7 x 5.5) / (2π x 0.1) = 0.001 N/T.
In other words, the force generated per unit field strength on a 20.0 cm wide section of the loop with a current of 5.5 A is 0.001 newtons per tesla.
The formula for the force generated per unit field strength on a loop is derived from the fact that the force is a result of the magnetic field generated by the current flowing in the loop.
The magnitude of the magnetic field generated is proportional to the current and inversely proportional to the radius of the loop. Since the force is a product of the current and the magnetic field, it is proportional to the square of the current and inversely proportional to the square of the radius of the loop.
In summary, the force generated per unit field strength on a 20.0 cm wide section of the loop with a current of 5.5 A is 0.001 newtons per tesla, given by the formula F = (μI) / 2πr, where μ is the permeability of free space (4π x 10-7 N/A²), I is current, and r is the radius of the loop.
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if you hold a 1.85 kg k g package by a light vertical string, what will be the tension in this string when the elevator accelerates as in the previous part?
The tension in the string of a 1.85 kg package held by a light vertical string will depend on the acceleration of the elevator. When the elevator accelerates, the force of acceleration on the package will be equal and opposite to the tension in the string, causing the tension to increase.
The equation for tension in a string is:
Tension = Mass x Acceleration
Therefore, in this case, the tension in the string is equal to 1.85 kg x Acceleration.
If we assume that the acceleration of the elevator is a constant rate, then the tension in the string can be calculated by multiplying the mass of the package by the acceleration of the elevator.
To sum up, the tension in the string of a 1.85 kg package held by a light vertical string will depend on the acceleration of the elevator. If the acceleration of the elevator is a constant rate, then the tension in the string can be calculated by multiplying the mass of the package by the acceleration of the elevator.
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a series circuit is a current divider and a parallel circuit is a voltage divider circuit. select one: a. true b. false
The given statement " A series circuit is a current divider and a parallel circuit is a voltage divider circuit " is True
In a series circuit, the electric current is the same through each component, and the total current is equal to the sum of the currents through each component. Therefore, the current is divided among the components.
In a parallel circuit, the potential voltage across each component is the same, and the total voltage is equal to the sum of the voltages across each component. Therefore, the voltage is divided among the components.
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how fast is it moving when it reaches the top of its trajectory if the projectile is fired at a speed of 138 and an upward angle of 65 degrees?
The projectile will be moving at a speed of 57.21 m/s when it reaches the top of its trajectory.
When a projectile is fired at a speed of 138 and an upward angle of 65 degrees, the speed at the top of the trajectory can be calculated. To solve this problem, you need to understand some basic physics concepts. Here's how you can solve this problem:
1. First, identify the given values and write them down:
Initial velocity (u) = 138 m/s
Angle of projection (θ) = 65 degrees
Acceleration due to gravity (g) = 9.81 m/s²
2. Now, break down the initial velocity into its horizontal and vertical components:
Initial velocity in the horizontal direction = u cos θ
Initial velocity in the vertical direction = u sin θ
3. Use the equation of motion to calculate the time taken by the projectile to reach the top of its trajectory:
u sin θ = gt/2
t = 2u sin θ/g
4. Use the time obtained in step 3 to calculate the velocity at the top of the trajectory:
v = u cos θ
Where,
v = final velocity
u = initial velocity
θ = angle of projection
5. Substitute the given values in the equation to get the final answer:
v = u cos θ
v = 138 cos 65
v = 57.21 m/s
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a 6 kg block is pushed 8m up a rough 37 degree inclined plane by a horizontal force of 75 n. the initial speed of the block is 2.2 m/s up the plane and a constant kinetic friction force of 25 n opposes the motion. calculate:
The final kinetic energy of the block is 308.98 J.
Let's solve the problem using the work-energy theorem.
Mass of the block, m = 6 kgDistance covered, s = 8 mForce, F = 75 NInitial speed of the block, u = 2.2 m/sAngle of inclination, θ = 37°Coefficient of kinetic friction, μk = 0.28The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy
W = ΔKE
Initially, the block is at rest. Therefore, its initial kinetic energy is zero.
Ki = 0
We have to find the final kinetic energy of the block. Hence, Kf = ?
Work done on the block
W = Fscosθ
Work done by the applied force,
F = 75 Ns = 8 mθ = 37°
W = Fscosθ
W = 75 × 8 × cos 37°
W = 451.27 J
Work done by the frictional force
Ff = μkFn
The normal force
Fn = mg
Fn = 6 × 9.8
Fn = 58.8 N
Here,
Ff = μkFn
Ff = 0.28 × 58.8
Ff = 16.51 J
Work of friction:
W = Ff × s
W = 16.51 × 8
W = 132.1 J
The total work done on the block,
Wtotal = W + Wfriction
Wtotal = 451.27 + 132.1
Wtotal = 583.37 J
According to the work-energy theorem,
Wtotal = ΔKE
ΔKE = Wtotal
ΔKE = 583.37 J
Final kinetic energy of the block
Kf = KEFinal
Kf = ΔKE
Kf = 583.37 J
Kf = 308.98 J
Therefore, the final kinetic energy of the block is 308.98 J.
Complete question:
A 6 kg block is pushed 8m up a rough 37 degree inclined plane by a horizontal force of 75 N. The initial speed of the block is 2.2 m/s up the plane and a constant kinetic friction force of 25 N opposes the motion. Calculate the fianl kinetic energy of the block.
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a weight hanging from a spring will remain hanging until the weight is pulled down and released. when the weight is released the spring will bounce up and down. which of newton's laws explains why the spring will bounce?
This principle can be observed in other everyday scenarios, such as jumping on a trampoline or the recoil of a gun after firing. Newton's Third Law of Motion is a fundamental principle in classical mechanics and explains why the spring will bounce when the weight is released.
The bouncing of the weight when released is explained by Newton's Third Law of Motion, which states that for every action there is an equal and opposite reaction. When the weight is released, the spring exerts an equal and opposite force on the weight, propelling it upwards and causing it to bounce. This is because when the weight is pulled down, it compresses the spring, storing potential energy. When the weight is released, the spring decompresses and the potential energy is released, propelling the weight in the opposite direction.
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a 100 cm diameter propeller blade, similar to the blade in example 4.15, is attached to a motor spinning at a constant rate. what is true about the radial (centripetal) acceleration and the tangential acceleration at the end of the blade?
The true statements about the radial (centripetal) acceleration and the tangential acceleration at the end of the blade are: the radial acceleration is non-zero the tangential acceleration is zero
The radial acceleration is non-zero and the tangential acceleration is zero. This is because, the radial acceleration is determined by the formula, ar = (v²)/r
where ar is the radial acceleration, v is the velocity and r is the radius. Thus, since the propeller blade is spinning at a constant rate, the velocity v is constant.
Therefore, the radial acceleration is constant and non-zero.
The tangential acceleration, on the other hand, is given by at = rα
where at is the tangential acceleration and α is the angular acceleration. Since the blade is spinning at a constant rate, the angular acceleration is zero. Therefore, the tangential acceleration is zero.
So, the correct option is the radial acceleration is non-zero and the tangential acceleration is zero.
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A dog can hear sounds in the range from 15
to 50,000 Hz.
What wavelength corresponds to the lower
cut-off point of the sounds at 20◦C where the
sound speed is 344 m/s?
Answer in units of m.
Explanation:
Speed of sound is 344
The frequency corresponding to the lower cut-off point is the lowest frequency which his 15Hz
F=15Hz
The relationship between the wavelength, speed and frequency is given as
v=fλ
Then,
λ=v/f
λ=v/f
λ=344/15
λ=22.93m
a spherical capacitor has vacuum between its conducting shells and a capacitance of 125 pf . the outer shell has inner radius 9.00 cm . what is the outer radius of the inner shell? express your answer with the appropriate units.
For a spherical capacitor with a capacitance of 125 and a vacuum between its conducting shells, the outer radius of the inner shell is around 5.60 cm.
The capacitance of a spherical capacitor is given by:
C = 4πε₀[(r₁r₂)/(r₂-r₁)]
where C is the capacitance, ε₀ is the electric constant (8.85 x [tex]10^{-12}[/tex] F/m), r₁ is the radius of the inner shell, and r₂ is the radius of the outer shell.
In this case, we know that the capacitance C = 125 pF (picoFarads), r₂ = 9.00 cm, and we want to find r₁.
We can rearrange the equation to solve for r₁:
r₁ = (C × r₂)/(4πε₀ + C)
Substituting the values:
r₁ = (125 x [tex]10^{-12}[/tex] F × 0.09 m) / (4π × 8.85 x [tex]10^{-12}[/tex] F/m + 125 x [tex]10^{-12}[/tex] F)
r₁ ≈ 5.60 cm
Therefore, the outer radius of the inner shell is approximately 5.60 cm.
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how to find the minimum thickness of a film such that reflected light undergo constructive interference
The minimum thickness of the film for constructive interference of reflected light would be t = 3*600/(2*1.4) = 850 nm.
The minimum thickness of a film required for constructive interference of reflected light can be calculated using the formula t = m*λ/(2*n),
where t is the minimum thickness of the film, m is the order of interference, λ is the wavelength of the light, and n is the index of refraction of the film.
For example, if the order of interference is 3, the wavelength of the light is 600 nm, and the index of refraction is 1.4,
the minimum thickness of the film for constructive interference of reflected light would be t = 3*600/(2*1.4) = 850 nm.
Constructive interference of reflected light occurs when the phase difference between the two waves is equal to an integral multiple of 2π.
This can be determined using the formula Δφ = (2π*m)/(λ*n), where Δφ is the phase difference, m is the order of interference, λ is the wavelength of the light, and n is the index of refraction of the film.
To achieve constructive interference, the minimum thickness of the film can be determined by ensuring that the phase difference is equal to an integral multiple of 2π.
The minimum thickness of a film required for constructive interference of reflected light can be calculated using the formula t = m*λ/(2*n),
where t is the minimum thickness of the film, m is the order of interference, λ is the wavelength of the light, and n is the index of refraction of the film.
Constructive interference can be achieved by ensuring that the phase difference between the two waves is equal to an integral multiple of 2π.
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the generation of multiple forecasts of future conditions followed by an analysis of how to respond effectively to each of those conditions is
The process described in the question is known as scenario planning. It is a strategic planning method that involves generating multiple plausible scenarios of future conditions and analyzing the potential impact of each scenario on an organization or a system.
Scenario planning is a useful tool for decision-making, risk management, and identifying opportunities in an uncertain or rapidly changing environment.
By developing a range of scenarios, decision-makers can anticipate potential challenges and opportunities and develop strategies to respond effectively to each situation.
This approach allows organizations to be better prepared and more resilient in the face of future uncertainties. Scenario planning can be applied to various fields, including business, economics, environmental planning, and public policy.
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