What is the angular momentum vector LA if vector rA = <7, 5, 0> m and vector p = <-14, 13, 0> kg·m/s? vector LA = kg·m2/s
Answers
The required angular momentum vector LA is <0, 0, 161> kg·m²/s.
Angular momentum is a vector quantity, meaning that it has both magnitude and direction. The direction of the angular momentum vector is perpendicular to the plane of rotation and follows the right-hand rule. The magnitude of the angular momentum vector depends on the object's moment of inertia and angular velocity, and it is conserved in the absence of external torques.
The angular momentum vector L is defined as the cross product of the position vector r and the linear momentum vector p:
L = r × p
where × denotes the cross product.
Substituting the given values, we get:
L = <7, 5, 0> × <-14, 13, 0>
L = <0, 0, (7×13) - (5×(-14))>
L = <0, 0, 161>
Therefore, the angular momentum vector LA is <0, 0, 161> kg·m²/s.
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Related Questions
What is something that you use almost every day that is a polymer?
A) metal
B) gas
C) water
D) plastic
E) wood
Answers
The answer to the question, "What is something that you use almost every day that is a polymer?" is:D) plastic
Plastic is the most common example of a polymer that we use daily in various forms, such as bags, bottles, and containers.
Polymers are materials made up of repeating units or monomers, and plastic is one of the most common types of polymers used in everyday life. Plastic can be found in items such as water bottles, food containers, and packaging materials. It is a versatile material that can be molded into various shapes and forms, making it a popular choice for many applications.
Plastic is a polymer, which means it's composed of long chains of molecules. Other options are incorrect because:
A) Metal is not a polymer; it's an element or an alloy of different elements.
B) Gas is a state of matter and not a polymer.
C) Water is a compound and not a polymer.
E) Wood is a natural material mainly composed of cellulose, which is a natural polymer, but it is not a primary example of a polymer when compared to plastic.
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In an A.C circuit current leads voltage by phase π/2 then circuit is
Answers
Answer:
capacitive
Explanation:
In a capacitive circuit, current is proportional to the derivative of the voltage. For a sinusoidal excitation, this means current is at the highest level when voltage is increasing through zero. That is, current leads the voltage.
From which end (north or south) of a bar magnet do magnetic field lines emerge? Do the field lines really start at the pole face? Do magnetic field lines ever start or end anywhere?
Answers
From a bar magnet, the magnetic field lines emerge from the north pole and loop back into the south pole. The field lines are continuous and never start or end anywhere.
The pole face of a magnet is where the magnetic force is the strongest, which is why it is often thought that the field lines start at the pole face. However, the field lines actually start within the magnet itself and flow out from the north pole. The reason for this is due to the alignment of the atoms within the magnet. The north pole of the magnet has a surplus of electrons that are spinning in one direction, creating a magnetic field. The south pole has a deficit of electrons with the opposite spin, which causes the magnetic field to loop back around to the north pole. The magnetic field lines represent the direction and strength of the magnetic force, which is why they are used to visualize and understand the behavior of magnets.
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A car tart from ret and travel for 3. 4 with a uniform acceleration for 17. 0 m/. What i the final velocity of the car?
Answers
Final velocity = 57.8m/s
What is acceleration?
In mechanics, acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities. The orientation of an object's acceleration is given by the orientation of the net force acting on that object
Acceleration = (Initial velocity - Final velocity) /time
Given,
time = 3.4s
Acceleration = 17 m/s^2
17 = (0-v)/3.4
final velocity = 17 X 3.4 = 57.8 m/s
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Which of the following is a way that trees have been negatively impacted by human use? a. Deforestation b. Pollution c. Reduction d. All of the above Please select the best answer from the choices provided A B C D.
Answers
Answer:
D
Explanation:
Trees are obviously effected from deforestation.
Pollution effects the things trees need to grow (water, air).
Reduction removes parts of the tree, some parts being needed.
Answer: D
Explanation:Trees are obviously effected from deforestation.
Pollution effects the things trees need to grow (water, air).
Reduction removes parts of the tree, some parts being needed.
An engine pumps up 1,000kg of water through a height of 10m in 5s. Calculate the power of the engine
in kilowatt. Take g=10m s-1
plz answer I will m ake u brainliest and follow u
Answers
Answer:
20Kilowatt
Explanation:
Power is the rate of work done per time. It can be calculated using the formula:
Power = Energy/time
Energy = mass × acceleration due to gravity × height ÷ time
Power = mgh/t
Where;
m = mass (1000kg)
g = acceleration due to gravity (10m/s²)
h = height (10m)
t = time (s)
Power = 1000 × 10 × 10 ÷ 5
Power = 20000 watt
In kilowatt = 1000watt, the power is:
20Kilowatt or 20Kw
a 4.00-pf is connected in series with an 8.00-pf capacitor and a 400-v potential difference is applied across the pair. (a) what is the charge on each capacitor? (b) what is the voltage across each capacitor?
Answers
The voltage drop across each capacitor is 134 V.
Absent an external voltage source, a capacitor is nothing more than a neutral conductor (before charging). But a capacitor starts to store electric charges when an external voltage is placed across it. Currently, the electric charge on a capacitor is precisely proportional to the voltage across it. A change in charge applied to a capacitor causes a change in the voltage across it. Therefore, the voltage across a capacitor rises as it charges. The voltage across the capacitor becomes constant once the capacitor has fully charged. The capacitor will now start to discharge if we remove the external battery. The capacitor's voltage across it drops as it is being discharged, and after a while, it reaches zero.
Given,
C = 4.00pF
C₁ = 8.00pF
V = 400 V
C(eq) = 1/ (114 + 118)
= 2.66667 pF
Q = C * V
Q = 2.66667 * 10⁻¹² F * 400 V
Q₁ = 1.07 nC
Q₂ = 1.07 nC
V = Q/C = 1.07 * 10⁻⁹ C/ 4.00 * 10⁻¹² F
V₁ = 267.0 V
V₂= Q/C
= 1.07 * 10⁻⁹ C / 8.00 * 10⁻¹² F
V₂ = 133.0 V
Thus, the voltage drop is, V₁ - V₂ = 267.0 - 133.0
Voltage drop = 134 V
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Based on the intrinsic brightness of stars, select all of the correct statements from the following list.
1) There are stars with greater and lesser magnitude than the sun.
2) A star closer than 10 parsecs will have a brighter apparent magnitude than absolute magnitude.
3) To know how bright a star really is, you must first know its distance.
4) The absolute magnitude of a star is the same as its apparent magnitude at a distance of 10 parsecs.
Answers
Based on the intrinsic brightness of stars, the correct statements are option (1) There are stars with greater and lesser magnitude than the sun and option (3) To know how bright a star really is, you must first know its distance
1) There are stars with greater and lesser magnitude than the sun. It is true. The magnitude of a star is determined by its intrinsic brightness or luminosity, and some stars are more or less luminous than the sun, resulting in a higher or lower magnitude.
2) A star closer than 10 parsecs will have a brighter apparent magnitude than absolute magnitude. It is false. The apparent magnitude of a star depends on both its intrinsic brightness and its distance from Earth. However, the absolute magnitude of a star is defined as the magnitude it would have if it were located at a distance of 10 parsecs from Earth. Therefore, if a star is located closer than 10 parsecs, its apparent magnitude will be larger than its absolute magnitude.
3) To know how bright a star really is, you must first know its distance. It is true. The intrinsic brightness or luminosity of a star can only be determined if its distance from Earth is known. Without this information, it is impossible to distinguish between a bright star that is far away and a dim star that is close.
4) The absolute magnitude of a star is the same as its apparent magnitude at a distance of 10 parsecs. It is false. The absolute magnitude of a star is defined as the magnitude it would have if it were located at a distance of 10 parsecs from Earth. Therefore, if the apparent magnitude of a star is known, its absolute magnitude can be calculated by correcting for the distance using the inverse square law of brightness.
Therefore, the correct options are (1) There are stars with greater and lesser magnitude than the sun and (3) To know how bright a star really is, you must first know its distance
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(02.04 LC) Which statement best describes the rate of dissolving? (2 points) Group of answer choices All substances dissolve at the same rate. All substances dissolve at a fast rate. The rate of dissolving may be fast or slow. Rates of dissolving are usually slow.
Answers
Answer:
C. The rate of dissolving may be fast or slow.
Explanation:
When a solute is added to a solvent, the rate of dissolving may be fast or slow. This is determined by the temperature of the solvent.
A high temperature of solvent can cause an increase in the rate of dissolving a solute or substance in it, while a low temperature of solvent causes a decrease in the rate of dissolving a solute or substance in a solvent.
Therefore, the rate of dissolving may be fast or slow.
A large truck is moving at 22.0 m/s. if its momentum is 125,000 kg • meters per second, what is the truck's mass? 176 kg 2750 kg 5680 kg 11,400 kg
Answers
The mass of the large truck is determined as 5680 kg.
Mass of the truck
The mass of the truck is calculated as follows;
P = mv
where;
P is momentumm is massv is velocitym = P/v
m = 125000/22
m = 5680 kg
Thus, the mass of the large truck is determined as 5680 kg.
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Answer:
C. 5680
Explanation:
edg2023
A hockey puck slides to a stop on ice. The coefficient of friction between the puck and
the ice is 0.026. What is the puck’s acceleration?
Answers
Answer:
Explanation:
The puck slides on the ice . Coefficient of sliding friction μ = .026
Limiting frictional force = μ R
R is reaction force of the surface .
R = mg
Friction force = μ mg
deceleration = μ mg / m
= μ g
= .026 x 9.8 = .2548
= 0.26 m /s².
An Olympic runner who starts at the 2 meter mark and runs
northwest. After 2.3 minutes, he reaches the 50 meter mark.
a. Displacement? (in m)
b. Distance? (in m)
c. Velocity? (in m/s)
Answers
Displacement = Final position – initial position = 50-2=48m
Distance = speed × time= 50m.
Time =2.3 multiply the time value by 60 we get 138 s.
Velocity = distance /time =50 m/ 138 s=0.36 m/s
Displacement is defined as a change in an object's location. It is a vector quantity with a magnitude and a direction. It is depicted as an arrow pointing from the starting point to the ending point. For instance, if an object travels from A to B, the object's location changes.
Distance is a numerical measurement of the distance between two objects or places. Distance can refer to a physical length or an estimate based on other factors in physics or common use. The distance between two points A and B is commonly expressed as |AB|.
The primary indication of an object's position and speed is its velocity. It is defined as the distance travelled by an item in one unit of time. The displacement of an item in unit time is defined as velocity.
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a 3200 ω resistor, a 250.0 mh inductor, and a 5.0 nf capacitor are in parallel.
Answers
By calculating the total impedance (Z), we can understand how the circuit will respond to different frequencies and analyze its behavior in various applications such as filters, oscillators, and resonance circuits.
Calculate the total impedanceA 3200 Ω resistor, a 250.0 mH inductor, and a 5.0 nF capacitor in parallel form a parallel RLC circuit. In this circuit, each component is connected across the same voltage source.
The key characteristics of the components are as follows:
1. Resistor (R): A 3200 Ω resistor resists the flow of current in the circuit. The resistance value of 3200 Ω indicates how much opposition it provides to the current flow.
2. Inductor (L): A 250.0 mH inductor is a coil that opposes changes in current. It has an inductive reactance (XL) that depends on the frequency (f) of the applied voltage, and can be calculated using the formula:
XL = 2πfL.
Here, L is the inductance value (250.0 mH).
3. Capacitor (C): A 5.0 nF capacitor stores energy in an electric field and opposes changes in voltage. It has a capacitive reactance (XC) that also depends on the frequency (f) and can be calculated using the formula:
XC = 1/(2πfC).
Here, C is the capacitance value (5.0 nF).
In a parallel RLC circuit, the overall impedance (Z) is determined by combining the impedances of each component.
Since they are in parallel, the total impedance is given by the formula:
1/Z = 1/R + 1/XL + 1/XC.
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Technician A says that high-intensity discharge (HID) headlights are brighter and have a blue tint. Technician B says that one defective turn signal bulb can cause the turn signal on the affected side to stop blinking (flashing). Who is right?
a) technician A
b) technician B
c) both technicians A and B
d) neither technician A nor B
Answers
Answer:
The right option is;
d) Both technicians A and B
Explanation:
High-intensity discharge (HID) headlights is an electrical gas-discharge light that gives a very bright light when an arc is formed between the tungsten electrodes that have a transparent or translucent housing
The light is ideal for night driving due to its brightness and appear to have a bluish tint at night although the light produced by HID headlight is actually more similar to Sunlight around noon
A turn signal bulb is a flashing light indicator that shows that a vehicle is about to turn or change lanes
An issue with the wiring, a broken connection at the bulb socket or a burnt bulb can result in a condition of "no turn signal" in which the turn signal stops flashing or blinking. Therefore both technicians A and B are correct.
which two options are examples of waves refracting?
Answers
hope this helps!
Answer: A & B
Explanation:
Took The test
If a violin string vibrates at 430 hz as its fundamental frequency, what are the frequencies of the first four harmonics?
Answers
If a violin string vibrates at 430 hz as its fundamental frequency,then the frequencies of the harmonics are 880, 1320, 1760
The frequency in physics is the number of waves passing a fixed location in a unit of time. It also indicates how many cycles or vibrations a body in periodic motion experiences in a given unit of time.
How frequently something occurs is what is meant by the word frequency. A person blinking their eyelids 47 times in a minute is an example of frequency. the quality or state of happening frequently.
Integer (whole-number) multiples of the fundamental frequency are used to define harmonics, which are voltages or currents that function at certain frequencies. This means that for a waveform with a fundamental frequency of 50 Hz, the second harmonic frequency would be 100 Hz (2 x 50 Hz), the third harmonic would be 150 Hz (3 x 50 Hz), etc.
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If the radius increased between the two objects what would happen to gravitational force between them?
Answers
Answer:
The Gravitational Force would decrease
Explanation:
The equation Gm1m2/r^2 is the equation for gravitational force. If you look, as we increase the radius, the overall value will decrease as we move further apart.
When an object is said to be in free fall, the object is actually moving..
Answers
a solenoid has a radius of 2cm and is 0.95m long and has 1200 turns. if the current is 3.6a what is the magnetic field inside the coil?
Answers
The magnetic field inside the solenoid with current 3.6 A is 5.4 × 10-3 T.
A solenoid is a type of coil, which is an electromagnetic device made up of a cylindrical length of wire wrapped around a piece of ferromagnetic material.
The magnetic field produced inside a solenoid can be determined using the following formula:
B=μni
B = μni,
where B is the magnetic field strength, μ is the permeability of free space (4π × 10-7 T·m/A), n is the number of turns per unit length, and i is the current through the solenoid.
Let's use this formula to solve the given problem.
The solenoid has a radius of 2 cm, which is equivalent to 0.02 m.
Length of the solenoid (l) = 0.95 m
Number of turns (n) = 1200
Current (i) = 3.6 A
B = μni
B = μni = 4π × 10-7 × 1200 × 3.6 / 0.95
B = 5.4 × 10-3 T
Tesla (T) is the unit of measurement for magnetic field strength.
Therefore, the magnetic field inside the solenoid is 5.4 × 10-3 T.
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complete the following sentence, then explain why you wrote what you did. "becoming aware that i am a person living during the anthropocene makes me feel
Answers
"Becoming aware that I am a person living during the anthropocene makes me feel concerned about the impact that humans are having on the planet and the future of our species."
I wrote this sentence because the Anthropocene is a term used to describe the current geological age, characterized by human activities having a significant impact on the Earth's ecosystems and geology. The awareness of living in this time period can evoke feelings of concern for the future of the planet and humanity, as the negative consequences of human activities are becoming increasingly evident. "becoming aware that I am a person living during the anthropocene makes me feel concerned about the impact that humans are having on the planet and the future of our species." I wrote this sentence because the Anthropocene is a term used to describe the current geological age.
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How does increasing the amount of charge on an object affect the electric force it exerts on another charged object?
The electric force increases because the amount of charge has an indirect relationship to the force.
The electric force increases because the amount of charge has a direct relationship to the force.
The electric force decreases because the amount of charge has an indirect relationship to the force.
The electric force decreases because the amount of charge has a direct relationship to the force.
Answers
Answer:
a
Explanation:
Answer:
A
Explanation:
Three 45 ohm lightbulbs and three 75 ohm lightbulbs are connected in series. (a) what is the total resistance of the circuit? (b) what is their resistance if all six are wired in parallel?
Answers
a) The total resistance of the circuit in which three 45 ohm lightbulbs and three 75 ohm light bulbs connected in series is 360 ohm.
b) The total resistance of the circuit if all six are wired in parallel is 28.57 ohm.
a) In order to find the series total resistance, we need to add all resistances,
Req = R₁ + R₂ + R₃ + R₄ + R₅ + R₆ = 45 + 45 + 45 + 75 + 75 + 75 = 135+ 225 = 360 ohm
b) Now, since the resistances are in parallel, we need to use the expression below,
1/Req = 1/R₁ + 1/R₂ + 1/R₃ + 1/R₄ + 1/R₅ + 1/R₆
Putting in the values,
1/Req = 1/45 + 1/45 + 1/45 + 1/75 + 1/75 + 1/75
1/Req = 1/0.035
Req = 28.57 ohm
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A racquetball with a mass of 42 g is moving with a horizontal speed of 7 m/s to the right (+x direction). It hits the wall of the court and rebounds to the hitter with a horizontal speed of 7m/a to the left (-x direction).what is the magnitude of the racquetball's change in momentum?
Answers
The magnitude of the racquetball's change in momentum is 0.59 kgm/s approximately.
Given that a racquetball with a mass of 42 g is moving with a horizontal speed of 7 m/s to the right (+x direction).
mass m = 42g = 42/1000 = 0.042kg
initial velocity before collision u = 7 m/s
It hits the wall of the court and rebounds to the hitter with a horizontal speed of 7m/s to the left (-x direction). That is,
velocity after collision v = 7 m/s
To calculate the magnitude of the racquetball's change in momentum, we will use the formula below
Change in momentum = Mv - Mu
Since momentum is a vector quantity, we will consider the direction.
Change in momentum = 0.042 x 7 - ( 0.042 x - 7)
Change in momentum = 0.294 + 0.294
Change in momentum = 0.588 kgm/s
Therefore, the magnitude of the racquetball's change in momentum is 0.59 kgm/s approximately.
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if the mass of the child and sled is 32 kg , what is the magnitude of the average force you need to apply to stop the sled? use the concepts of impulse and momentum
Answers
the magnitude of the average force required to stop the sled is 16 times the velocity of the sled in meters per second.
To calculate the magnitude of the average force required to stop the sled, we can use the concept of impulse and momentum. The equation that relates these two concepts is:
FΔt = mΔvwhere F is the force, Δt is the time interval during which the force is applied, m is the mass of the object, and Δv is the change in velocity.Let's assume that the sled was initially moving with a certain velocity v and that you want to bring it to a complete stop.
The final velocity of the sled will be 0 m/s. Since the mass of the child and sled is 32 kg, we can use the following equation to calculate the average force required to stop the sled:
FΔt = mΔvF Δt = (32 kg) (- v)F Δt = -32v
To determine the value of F, we need to know the time interval Δt during which the force is applied. If we assume that it takes 2 seconds to bring the sled to a stop, then:
F (2 s) = -32vF = -16v Newtons
Therefore, the magnitude of the average force required to stop the sled is 16 times the velocity of the sled in meters per second.
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A block with the mass of 14.26kg is on a ramp with an incline of 41 degrees. If the block is stationary, what is the minimum value of the coefficient of static friction? [Please explain to me how you did it, I'm giving you 50 points lol the last two times I've asked ive gotten either no explanation or a link to a calculator...]
Answers
The minimum value of the coefficient of static friction is 1.33.
What is the coefficient of static friction?To calculate the minimum value of the coefficient of static friction, we need to determine the force of static friction acting on the block. The force of static friction is equal to the force of gravity acting on the block (mg) multiplied by the coefficient of static friction (µs
m = 14.26kg
θ = 41°
g = 9.8 m/s²
The force of gravity acting on the block is given by the formula:
Fg = mg
where,
m = (mass of the block)
g = (acceleration due to gravity)
Fg = 14.26kg *9.8 m/s²
Fg = 139.75 N
The force of static friction can be found using the formula:
Fstatic = µs * N
where,
µs = coefficient of static friction (unknown)
N = Normal force acting on the block
The normal force acting on the block is equal to the force of gravity acting on the block perpendicular to the ramp.
N = mg * cos(θ)
where,
θ = 41 degrees (incline of the ramp)
N = 14.26kg * 9.8 m/s² * cos 41°
N = 105.47 N
So,
Fstatic = µs * (mg * cos(θ))
making µs subject of the formula and substituting already calculated vaues we get,
µs = Fstatic
(mg * cos(θ))
µs = 139.75 N
105.47 N
µs = 1.33
This is the minimum value of the coefficient of static friction.
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two what does this you think parts of the lift do?
Answers
Sorry? Can you explain this.
20 points
A net force of 24 N is applied to an object for 5.0 s. The object is pushed a total of 5.2 m. What is the mass of the object? What equations will be used?
Answers
Answer:
S = V0 t + 1/2 a t^2 net distance traveled
5.2 = a/2 * 25
a = 10.4 / 25 = ,416 m / s^2
F = m * a
m = F / a = 24 / .416 = 57.7 N
can someone please help me answer these questions
Answers
Answer:
the First one i think is D: it increases
The second i think it is B
i think
Explanation:
what is the average efficiency of an electric motor, compared to the 35 percent efficiency of an internal combustion engine
Answers
The direct answer to your question is that electric engines can be more than 80% efficient and even up to 90% efficient while combustion engines are 30 to 45% efficient.
Electric motors make vehicles substantially more efficient than internal combustion engines. Electric motors convert over 85 percent of electrical energy into mechanical energy, or motion, compared to less than 30 to 40 percent for a gas combustion engine.
These efficiencies are even lower after considering losses as heat in the drivetrain, which is the collection of components that translate the power created in an electric motor or combustion engine.
• Motor efficiency: 85..90%
• Battery load efficiency: 80..90 %
• Battery discharge efficiency: 80..90 %
• Power generation efficiency at power: 30..40 %
• Transfer efficiency from the powerplant to the reloading station: 90..95 %
• Energy conversion efficiency AC to DC: 90..95 %
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what does the area under a speed-time graph represent
Answers
Answer: It represents the whole distance traveled. Hope this helps!
Explanation: