The content of the question suggests that the student is seeking guidance on how to answer exam questions effectively. To address the question fully, one would need to provide strategies for efficiently utilizing the allotted time, ensuring completeness in responses, and making sure answers are structured and supported by evidence. Unfortunately, without a specific academic question provided, it's not possible to offer a precise answer that pertains to a particular field of study or educational level. Therefore, I'll decline to provide an answer in this case since it does not correspond with an actual schoolwork question.
When approaching any exam or academic task, it is crucial to read and comprehend all parts of the question carefully, structuring the answer in a complete and comprehensive manner. Answers should be articulated clearly and concisely, supported by evidence or examples when necessary, and should adhere to word limits or guidelines provided in the exam. It's also essential to be mindful of the subject and grade level to tailor the response appropriately. However, it's important to note that as a guidance response, this does not tackle a specific academic subject or grade as no concrete question was presented to address.
What is the basic definition of a black hole?
a. any compact mass that emits no light
b. a dead star that has faded from view any object from which the escape velocity exceeds
c. the speed of light any object made from dark matter
d. a dead galactic nucleus that can only be viewed in infrared
A black hole is an astronomical object with an escape speed that exceeds the speed of light. Normally created from large, collapsed stars, the intense gravitational force of black holes prevents anything, including light, from escaping. They can only be indirectly observed.
Explanation:The basic definition of a black hole aligns with the option: Any object from which the escape speed exceeds the speed of light. This astronomical phenomenon occurs, typically, when a very large star dies and collapses under its own gravity. With this collapse, the star's gravitational force becomes so intense that nothing can escape it, including light. For this reason, black holes are invisible and can only be observed indirectly, such as through their gravitational effects on other bodies or by the presence of a disk of matter swirling into it (known as an accretion disk).
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Let us suppose the magnitude of the original Coulomb force between the two charged spheres is F. In this scenario, a third sphere touches the grey sphere and the red sphere multiple times, being grounded each touch. If the grey sphere is touched twice, and the red sphere is touched three times, what is the magnitude of the Coulomb force between the spheres now?
Answer:
Answer: F/32
Explanation:
Initial electrostatic force between sphere = F = kQq/r2
Each time the third sphere touches the red or grey sphere the charges in it is reduced to half as half the charges are tranferred into the third sphere. So that both spheres have equal charges
The 3rd sphere touches the grey sphere 2 times, if the initial charge in it is Q ,final charge will be Q / (2x2) = Q/4
In the red sphere if the initial charge was q, then final charge after the 3rd sphere touches it 3 times = q/(2x2x2) =q/8
The magnitude of the Coulomb force between the spheres = kQq/(r2x4x8) = F/32
Answer:
F/32
Explanation:
GIVEN
that the electrostatic force between sphere = F = kQq/r2
ANSWERED
Any time, third sphere touches the red or grey sphere the charges in it, will reduced to half, also, as half the charges are moved into the third sphere. That makes both spheres have equal charges (grounded) .
Also, the 3rd sphere tries to touch the grey sphere two times. Then, when we have initial charge in it to be Q, then, the final charge will be given has Q / (2x2) = Q/4
The similarly with the red sphere, has the initial charge was q, so we have last charge after the third sphere has touches it three times = q/(2x2x2) =q/8
Therefore,given that the new coulombs force = kQq/(r2x4x8) = F/32
A cable-operated clutch is being adjusted. Technician A says that free travel is measured at the clutch pedal and should be between 3/4 and 1 inch (19 to 25 mm). Technician B says that the clutch spin-down time should be less than two seconds. Which technician is correct?
A) Technician A only
B) Technician B only
C) Both technicians
D) Neither technician
Answer: A
Technician A only
Explanation:
On a cable-operated clutch, the adjustment is made at the cable end. The clearance is usually measured either at the operating lever or at the pedal.
To perform efficiently, the clutch needs the right amount of play in the linkage between the foot pedal and the clutch operating lever
Anything less than the correct amount of free play (or clearance ) will result in clutch slip, because the pressure plate will be unable to exert its full pressure on the friction plate .
Failure to cure this fault will quickly lead to a burned-out friction plate, and possibly a ruined pressure plate.
7. A person pushes on a 5.00 kg box with a force of 15.0 N to the right. As a result, the box moves at a constant speed of 10.0 m/s.
Answer
Given,
Mass of the box, m = 5 kg
Force, F = 15 N
Speed of the box, v = 10 m/s
Assuming we need to determine weight, normal force, and the frictional force on the box.
Weight of the box = m g = 5 x 9.8 = 49 N
Normal force on the box = Weight of the box = 49 N.
Frictional force on the box will be equal to 15 N because box is moving with constant velocity.
Two technicians are discussing how a clutch disengages. Technician A says a gap on each side of the clutch disk facing when disengaged. Technician B says the marcel/cushion plage in the disc will flatten. Who is Correct?
Answer: A - a gap on each side of the clutch disk facing when disengaged
Explanation:
A clutch switch is used to ensure the clutch is disengaged
or Prevent the engine from starting unless the clutch pedal is depressed
When a clutch is disengageda gap will be on each side of the facing.
Answer:
Technician A is correct
Explanation:
A clutch switch is used in preventing an engine from starting unless the pedal of the clutch is depressed or to ensure the clutch totally disengaged .
The clutch switch is located normally underneath the dash, while i is still in gear it stops you from starting a vehicle to start . The clutch switch is activated by the clutch pedal arm when the clutch is pushed down and also attached to the pedal linkage.
From the question given, Technician A is right.
An electron in an atom has an uncertainty of 0.2 nm. If it is doubled to 0.4 nm by what factor does the uncertainty in momentum change?
Answer:
The uncertainty in momentum changes by a factor of 1/2.
Explanation:
By Heisenberg's uncertainty principle, ΔpΔx ≥ h/2π where Δp = uncertainty in momentum and Δx = uncertainty in position = 0.2 nm. The uncertainty in momentum is thus Δp ≥ h/2πΔx. If the uncertainty in position is doubled, that is Δx₁ = 2Δx = 0.4 nm, the uncertainty in momentum Δp₁ now becomes Δp₁ ≥ h/2πΔx₁ = h/2π(2Δx) = (h/2πΔx)/2 = Δp/2.
So, the uncertainty in momentum changes by a factor of 1/2.
what is the name of the farthest planet away from the sun
Answer:
It's Neptune:)
Explanation:
Answer:
Neptune is the eighth and farthest planet from the Sun, at a distance of about 4.5 billion km (2.8 billion miles) or 30.07 AU.
Explanation:
The gravitational force between two objects is 45,000 N. What will be the gravitational force between the two objects if the distance between the objects is reduced by one-half?
Answer:
180000 N
Explanation:
According to Newton's law of gravitation
F= G m1 m2 / r^2
This expression shows that if distance is reduced to half the gravitational force will increase 4 times.
two objects with the same mass move with the same speed but in opposite directions. A. Kinetic energies are equal B. Kinetic energies are opposite in magnitude C. Kinetic energies of the higher objects is greater D. Kinetic energy of the lower object is greater
this is the best answer for you
When two objects collide there will be a force acting on them both and their individual kinetic energies and momenta may alter. As you know already, energy is always conserved but in a collision some, or all of the kinetic energy may be ... of the same mass and traveling at the same speed but in opposite directions collided ...
Answer:
A
Explanation:
Using the formula 1/2mV² both kinetic energy are equal irrespective of the direction.
Calculate the equivalent resistance in the circuit shown please
Answer:
0.55 ohms
Explanation:
Answer:
0.55 ohms
Explanation:
edge 2021
Consider a pipe of length 80.0 cm open at both ends. What is the lowest frequency f of the sound wave produced when you blow into the pipe?
Answer:
[tex]f = 214.375\ Hz[/tex]
Explanation:
Given,
Length of the Pipe, L = 80 cm
Frequency ,f = ?
Speed of sound, v = 343 m/s
Wavelength when pipe is open at both the ends
[tex]\lambda = 2 L[/tex]
[tex]\lambda = 2\times 80 = 160\ cm = 1.6\ m[/tex]
Fundamental frequency
[tex]f =\dfrac{v}{\lambda}[/tex]
[tex]f =\dfrac{343}{1.6}[/tex]
[tex]f = 214.375\ Hz[/tex]
Final answer:
The lowest frequency produced by an 80 cm pipe open at both ends is calculated using the fundamental frequency formula for open pipes. It is found to be approximately 214 Hz, with the speed of sound at room temperature taken as 343 m/s.
Explanation:
To find the frequency, we need to consider the fundamental frequency for an open pipe, which is given by the equation f = v / (2L), where f is the frequency, v is the speed of sound in air, and L is the length of the pipe. At 20°C, the speed of sound in air is approximately 343 m/s. So, when we substitute the given values, we have:
f = 343 m/s / (2 × 0.80 m) = 214.38 Hz.
Therefore, the lowest frequency the pipe can produce, also known as the first harmonic or fundamental frequency, is approximately 214 Hz.
Why plate tectonics is a scientific theory and not a scientific law.
Answer:
We have not drilled to the center of the earth.
Explanation:
Plate tectonics is considered a scientific theory because it provides an explanatory framework for understanding geological processes, unlike a scientific law which describes what happens without explaining why or how. Its acceptance was gradual over 50 years due to initial resistance from the geological community and a lack of supporting evidence until later in the 20th century.
Plate tectonics is a scientific theory and not a scientific law because it is an explanatory framework that helps us understand various geological processes. A scientific law describes what happens under certain conditions but does not explain why or how something happens. In contrast, a theory provides a model for understanding the 'why' and 'how.' The plate tectonics theory explains the movement of Earth's lithosphere through the mechanism of mantle convection and provides a model for understanding the origin of continents and oceans, the formation of mountains, and the occurrences of earthquakes and volcanoes.
The development and acceptance of the plate tectonics theory was slow, spanning roughly 50 years. It was initially met with resistance from the established geological community due to its revolutionary nature and the lack of supportive evidence until the mid-20th century. This explanatory model integrated previous concepts like continental drift, proposed by Alfred Wegener, into a cohesive framework that describes Earth's geodynamic processes.
As a comprehensive explanatory model, plate tectonics has significantly enhanced geological science, providing a method to reconstruct Earth's history and predict geological events. Its strength lies in its ability to create testable hypotheses about Earth's past and future. This theory is foundational in the field of geology, akin to the role of evolution by natural selection in biology.
A combustion reaction occurs when a substance reacts quickly with
Answer:
Oxygen
Explanation:
Any sort of combustion requires oxygen
The two major processes involved in the carbon cycle are
Answer:
Respiration and Photosynthesis
The two major processes involved in the carbon cycle are photosynthesis and respiration. The correct option is 3.
What is carbon cycle?The carbon cycle is nature's own way of recycling carbon atoms, which commute from the ambience into lifeforms on Earth and then returned to the environment.
The maximum of carbon is kept in rocks and sediments, with the leftover in the ocean, atmosphere, and living organisms.
It is critical for our global atmosphere and carbon balance to remain stable. Carbon is the lifeline of the Earth, and the carbon cycle regulates it naturally. The Earth would be frozen if it didn't have it.
The process of photosynthesis requires carbon to form glucose which is taken in as carbon dioxide, and the respiration is the process of excreting out the carbon as carbon dioxide.
Thus, the correct option is 3.
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Your question seems incomplete the missing options could be:
Deposition and soil erosion.Evaporation and transpiration.Photosynthesis and respiration.Fixation and denitrification.A ________ is a hard shoreline stabilization feature, detached from the shoreline, that protects shorelines from the pounding of waves by creating an area of quiet water behind it.
Answer:
Answer is breakwater.
Refer below.
Explanation:
A breakwater is a hard shoreline stabilization feature, detached from the shoreline, that protects shorelines from the pounding of waves by creating an area of quiet water behind it.
A point charge q is held at a distance r from the center of a dipole that consists of two charges ±q separated by a distance s. The dipole is initially oriented so that q is in the plane bisecting the dipole. Assume that r≫s.
Answer:
Complete question: A point charge Q is held at a distance r from the center of a dipole that consists of two charges ±qseparated by a distance s. The dipole is initially oriented so that the charge Q is located in the plane that bisects the dipole. Assume that r≫s. Immediately after the dipole is released,
what is the magnitude of the force on the dipole?
In the space provided, enter the factor that multiplies 1ϵ0 in your answer. Express this factor in terms of q, Q, s, π, and r.
what is the magnitude of the torque on the dipole?
in the space provided, enter the factor that multiplies 1ϵ0 in your answer. Express this factor in terms of q, Q, s, π, and r.
Answer: The magnitude of he electric field of the dipole = E = Kqs/r³
the magnitude of the torque on the dipole is Z = (qs) (KQ/r²) = 1/ϵ₀ (qQs)/4πr³)
Explanation:
From the given question,
We find the magnitude of the force on the dipole.
E= the electric field
ϵ₀= permittivity of free space is
q = magnitude of each charge of the dipole
The dipole movement = p =qs
The electric field of the dipole = E = Kqs/r³
Then
F=QE ⇒ F = Q (Kqs)/r³ ⇒ KqQs/r³
= 1/ϵ
₀ ( qQs)/4πr³)
The electric field due to Q is E = KQ/r²
The next step is to find the magnitude of the torque on the dipole
The torque is denoted by Z =PE sign 90
Z = (qs) (KQ/r²) = 1/ϵ
₀ (qQs)/4πr³)
The oxygen isotopic composition of ocean water is measured by determining the ratio of 18O to 16O, expressed as 18O/16O. The isotope 16O preferentially evaporates into the atmosphere. During periods of global cooling, the 18O/16O ratio will:
Final answer:
During periods of global cooling, the ratio of Oxygen-18 (¹₈O) to Oxygen-16 (¹⁶O) in ocean water increases, as ¹⁶O is preferentially evaporated and stored in ice sheets, leaving the seawater enriched in ¹₈O.
Explanation:
During periods of global cooling, such as the Ice Ages, the isotopic composition of ocean water changes due to the evaporation of water molecules containing Oxygen-16 (¹⁶O), a lighter isotope that preferentially enters the atmosphere. This results in ¹⁶O becoming trapped in ice sheets and glaciers, leading to an increase in the ratio of Oxygen-18 (¹₈O) to ¹⁶O in the seawater. The enriched ¹₈O in the oceans during cold periods indicates a higher amount of ice on the planet and is significant for interpreting past global temperatures using oxygen isotope analysis in sediment cores or glacial ice.
A horizontal force of at least 150N is required to start moving a 750N crate initialy at rest on a horizontal fioor the coefficient of static friction between the crate and the floor is?
Answer:A 25 kg block is initially at rest on a rough, horizontal surface. A horizontal ... The coefficient of static friction between a 10 kg object and the floor is 0.50.
Explanation:
An alternating emf source with amplitude 14.9 14.9 V and an adjustable driving frequency f d fd is connected in series with a 59.4 59.4 Ω resistor and a 23.7 23.7 μF capacitor. At what value of f d fd are the amplitudes of the voltages across the resistor and capacitor equal?
Answer:
113.0 Hz
Explanation:
In a RC circuit with alternating current, the voltage across the resistor is given by Ohm's Law:
[tex]V_R = IR[/tex]
where
I is the current in the circuit
R is the resistance of the resistor
While the voltage across the capacitor is given by:
[tex]V_C = IX_C[/tex]
where
[tex]X_C=\frac{1}{2\pi f C}[/tex] is the impedance of the capacitor, where
f is the frequency
C is the capacitance
The voltages across the resistor and the capacitor are equal when
[tex]V_R = V_C[/tex]
So
[tex]IR=\frac{I}{2\pi fC}[/tex]
Which can be rewritten as
[tex]f=\frac{1}{2\pi RC}[/tex]
In this problem:
[tex]R=59.4\Omega[/tex] is the resistance
[tex]C=23.7\mu F = 23.7\cdot 10^{-6}F[/tex] is the capacitance
Substituting, we find the frequency at which this happens:
[tex]f=\frac{1}{2\pi (59.4)(23.7\cdot 10^{-6})}=113.0 Hz[/tex]
The value of fd represents the amplitudes of the voltages across the resistor and capacitor equal to 113.0 Hz.
Ohm law:Here
V = IR
Here.
I is the current in the circuit
R is the resistance of the resistor
Now the voltage across the capacitor and resistor should be provided by
Vr = Vc
IR = 1/2πFc
Here
f = 1 /2πRC
So,
= 1/2π(59.4)(23.7.10^-60
= 113.0 Hz
Hence, The value of fd represents the amplitudes of the voltages across the resistor and capacitor equal to 113.0 Hz.
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A 12 volt car battery is connected to a 3 ohm brake light. What is the current carrying energy to the lights?
Answer:
4 A
Explanation:
V = IR, where V=voltage, I=current, R=resistance. This is Ohm's Law. (remember that for units V = volts, Ω = ohms, A = amperes.)
V = IR
12 V = I * 3 Ω
12/3 = I
I = 4 A
The current flowing through the 3-ohm brake light connected to a 12-volt car battery is 4 amperes (A).
To find the current carrying energy to the 3-ohm brake light on a 12-volt car battery, we use Ohm's Law, which states that current (I) is equal to the voltage (V) divided by resistance (R). In this case, the voltage is 12 volts, and the resistance is 3 ohms.
Applying Ohm's Law: I = V / R
I = 12V / 3Ω
I = 4A.
Therefore, the current through the brake light is 4 amperes (A).
An electric vehicle starts from rest and accelerates at a rate of 2.3 m/s2 in a straight line until it reaches a speed of 18 m/s. The vehicle then slows at a constant rate of 1.0 m/s2 until it stops. (a) How much time elapses from start to stop
Answer:
25.83s
Explanation:
Time taken by car to reach from 0 m/s to 18m/s
Using the kinematic equation,
V= u + at
18=0 + 2.3(t)
t= 18/2.3= 7.83s
Time to stop the top speed
V= u + at
18=0 + 1(t)
t = 18 / 1 = 18 s
total time is
=7.83s + 18s
= 25.83s
Final answer:
The time taken by the electric vehicle to go from start to stop is calculated by finding the time for both the acceleration phase (7.83 seconds) and the deceleration phase (18 seconds), summing up to approximately 25.83 seconds in total.
Explanation:
To calculate the total time elapsed from start to stop for the electric vehicle, we need to determine the time for both the acceleration phase and the deceleration phase. We use the kinematic equations for uniformly accelerated motion.
Acceleration Phase
The vehicle accelerates from rest, meaning the initial velocity ( extit{u}) is 0 m/s, at an acceleration ( extit{a}) of 2.3 m/s2, until it reaches a speed ( extit{v}) of 18 m/s.
Using the equation extit{v} = extit{u} + extit{a} extit{t}, we can find the time ( extit{t}) for this phase.
extit{Time for acceleration} = ( extit{v} - extit{u}) / extit{a} = (18 m/s - 0 m/s) / 2.3 m/s2 = 7.83 s (approximately)
Deceleration Phase
Now, we need to calculate the time it takes for the vehicle to decelerate from 18 m/s to rest (0 m/s) at a rate of 1.0 m/s2.
extit{Time for deceleration} = ( extit{v} - extit{u}) / extit{a} = (0 m/s - 18 m/s) / 1.0 m/s2 = -18 s (since deceleration is negative acceleration, the time would be positive).
Therefore, the total time is the sum of both phases:
extit{Total time} = extit{Time for acceleration} + extit{Time for deceleration} = 7.83 s + 18 s = 25.83 s
So, it takes approximately 25.83 seconds for the electric vehicle to go from starting to stop.
The Sun formed, probably along with other stars, within a large ____
A ____ consists of two stars that orbit each other every few days
A ____ is a "star" so small in mass that its core never gets hot enough to sustain nuclear fusion reactions.
Most of the gas remaining from the process of star formation is swept into interstellar space by a ____
As a protostar's internal temperature increases, its growing ___ helps slow its contraction due to gravity.
Answer:
The Sun formed, probably along with other stars, within a large molecular cloud
A close binary consists of two stars that orbit each other every few days
A brown dwarf is a "star" so small in mass that its core never gets hot enough to sustain nuclear fusion reactions.
Most of the gas remaining from the process of star formation is swept into interstellar space by a protostellar wind
As a protostar's internal temperature increases, its growing thermal pressure helps slow its contraction due to gravity.
Explanation:
: ) Hope this helps!
Technician A says that a good relay should measure between 60 and 100 ohms across the coil terminals. Technician B says that OL should be displayed on an ohmmeter when touching terminals 30 and 87. Which technician is correct?
Answer:
i think i dont exactly know the answer but that is only because i didnt read the question
The bob of a simple pendulum has its maximum kinetic energy at the
Answer:
The bob of simple pendulum has its maximum kinetic energy at mean position.
Explanation:
A simple pendulum is a device which consists of mass m hanging from the string of length L attached to the some point.When displaced and released its swings back and forth with periodic motion.
The simple pendulum swings from the mean position to the extreme position and back to mean position and again the extreme position on the other side completing one oscillation.
The velocity varies with oscillation.
The velocity of bob in the extreme position is zero.
The velocity of pendulum is maximum at the mean position and hence has maximum kinetic energy because K.E =0.5 mv².
The law of conservation of energy helps us to understand it .
The height of the bob is at least when it is in the mean position, so when we move to the extreme position on the right side it is at slightly raised height and all its energy is potential energy as it is slightly motionless.As kinetic energy is zero the velocity is zero.
At mean position all energy is kinetic and velocity is maximum.
The bob of a simple pendulum has its maximum kinetic energy at the bottommost position of its swing. This is because as the pendulum swings down, potential energy is converted into kinetic energy, reaching maximum speed and maximum kinetic energy at the bottom.
Explanation:The bob of a simple pendulum has its maximum kinetic energy at the bottommost position of its swing. This is because kinetic energy is associated with the motion of the bob. When the pendulum is at its highest point (at each end of the swing), it momentarily stops and thus has no kinetic energy - instead, there's potential energy. When it falls down and reaches the bottom of its swing, or the mean position, all the potential energy is converted into kinetic energy, achieving maximum speed and thus maximum kinetic energy.
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A 121 turn 121 turn circular coil of radius 2.85 cm 2.85 cm is immersed in a uniform magnetic field that is perpendicular to the plane of the coil. Over an interval of 0.179 s 0.179 as, the magnetic field strength increases from 55.1 mT 55.1 mT to 97.9 mT 97.9 mT. Find the magnitude of the average emf E avg Avg induced in the coil during this time interval, in millivolts.
Answer:
0.074 V
Explanation:
Parameters given:
Number of turns, N = 121
Radius of coil, r = 2.85 cm = 0.0285 m
Time interval, dt = 0.179 s
Initial magnetic field strength, Bin = 55.1 mT = 0.0551 T
Final magnetic field strength, Bfin = 97.9 mT = 0.0979 T
Change in magnetic field strength,
dB = Bfin - Bin
= 0.0979 - 0.0551
dB = 0.0428 T
The magnitude of the average induced EMF in the coil is given as:
|Eavg| = |-N * A * dB/dt|
Where A is the area of the coil = pi * r² = 3.142 * 0.0285² = 0.00255 m²
Therefore:
|Eavg| = |-121 * 0.00255 * (0.0428/0.179)|
|Eavg| = |-0.074| V
|Eavg| = 0.074 V
Answer:
The magnitude of the average EMF = 73.83 mv
Explanation:
From faradays law of induction, EMF is given as;
EMF = NA(ΔB/Δt)
We are given that;
N = 121 turns
B1 = 55.1 mT
B2 = 97.9 mT
Thus, ΔB = 97.9 mT - 55.1 mT = 42.8 mT
t = 0.179 s
r = 2.85cm = 0.0285 m
Area = πr² = π x (0.0285)² = 0.0025518 m²
Plugging in the relevant values, we can calculate EMF as;
EMF = (121)(0.0025518)(42.8 mT/0.179) = 73.83 mv
The drawing shows a current-carrying wire lying along the x axis. The current I is 3.0 A and flows to the right. The wire is 0.43 m long and situated in a uniform magnetic field B. The magnetic field points along the z axis and has a magnitude of 2.0 T. What is the magnitude F and direction of the magnetic force exerted on the current? F = N
Answer:
The force is 2.58N
The direction of the force at 90° to the conductor
Explanation:
N/B I can't find any attachment for my reference
But this problem bothers on the force on a current carrying conductor
In accordance with the Flemings left hand rule the conductor will experience a force perpendicular to it
F= BILsinθ
Given data
Current I = 3 amps
Length of the conductor L= 0.43m
Magnetic field B= 2T
Angles between conductor and magnetic field θ= 90°
Substituting our data into the expression for force we have
F= 2*3*0.43
F= 2.58N
The direction of the force at 90° to the conductor
The magnitude of the magnetic force on the wire is 2.58 N, and the direction is downward as determined by the right-hand rule-1.
Explanation:The force exerted on a current-carrying wire lying in a magnetic field can be determined using the formula F = IxB. From the conditions given in the question, it can be calculated as follows:
Given:
Current I = 3.0 ALength of wire = 0.43 m Magnetic field B = 2.0 T.By substituting the given value in F = I L B (because the angle between the current and the magnetic field is 90 degrees as given by the right-hand rule, and sine 90 =1), the force F = (3.0 A) x (0.43 m) x (2.0 T) = 2.58 N.
The direction of the force can be determined using the right-hand rule-1 (RHR-1). When your thumb points in the direction of the current, the motion of the fingers when half-closed indicates the direction of B and the force is in the direction of the palm. Thus, the direction of the force on the wire is negative y direction or downward.
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What happens to the magnitude of the charge on each plate of a capacitor if the potential difference between the conductors is doubled?
Answer:
The magnitude of charge on the each plate of the a capacitor will become two times larger.
Explanation:
The capacitor is a device that stores electrical energy and gives back the electrical energy to the circuit when needed ie it charges and discharges the electric charge stored in it.
The charges are of two types positive and negative.The charges on the conducting plates of a capacitor are equal in magnitude but opposite in charges.
The mathematical formula to calculate charge on the capacitor is
Q =CV,
Where Q is the initial charge,
C is the initial capacitance of the capacitor,
V is the initial potential difference
If the potential across the conductors is doubled the V =2 V,
Q =C2V
ie the magnitude of the charge is doubled.
On a frictionless surface, a 32 kg student pushes a 43 kg student. If the 32 kg student slides back at 2.4 m/s, how fast will the 43 kg student be sliding and in what direction?
Answer:
The 43kg student will be sliding at 1.79m/s opposite the direction the 34kg student is going.
Explanation:
Conservation of linear momentum!
The law of conservation of momentum says that in an isolated system, the momentum before must equal the momentum after:
[tex]mv_1+m_1v_2=m_1_v_{1f}+m_2v_{2f}[/tex].
For our two students
[tex](32kg)(v_1)+(43kg)(v_2)= (32kg)+(43kg)(-2.4m/s)+(43kg)(v_{2f})[/tex] (notice the - sign in -2.4m/s, this means going to the left)
since the students were not moving at first, [tex]v_1=v_2= 0[/tex], therefore we have
[tex]0= (32kg)(-2.4m/s)+(43kg)(v_{2f})[/tex]
solving for [tex]v_{2f}[/tex] gives
[tex]76.8=(43kg)(v_{2f})[/tex]
[tex]\boxed{v_{2f} = 1.79m/s}[/tex]
Hence the 43kg student will be sliding at 1.79m/s to the right.
A graduated cylinder contains 62 ml of water. When a small metal block is added to the water, the volume of the water increases to 65.5 ml. If the block is 26g, what is the density
Answer:
The density of the block is 7.4g/ml.
Explanation:
We can determine the volume of the metal block by taking the difference between the volumes measured in the graduated cylinder:
[tex]V_{block}=65.5ml-62ml\\\\V_{block}=3.5ml[/tex]
Now, as we know that the average density of an object is calculated dividing its mass by its volume, we can calculate the density ρ of the metal block using the expression:
[tex]\rho_{block}=\frac{m_{block}}{V_{block}}\\\\\rho_{block}=\frac{26g}{3.5ml}\\\\\rho_{block}=7.4\frac{g}{ml}[/tex]
Finally, it means that the density of the metal block is 7.4g/ml.
Answer:
7.43 g/mL
Explanation:
Step 1:
Data obtained from the question. This include:
Volume of water = 62 mL
Volume of (Metal + water) = 65.5 mL
Mass of metal = 26g
Density =?
Step 2:
Determination of the volume of the block.
From Archimedes' principle, we understood that an object will displace its own volume when completely immersed in a liquid. The volume of the metal block can be obtained as follow:
Volume of water = 62 mL
Volume of (Metal + water) = 65.5 mL
Volume of the matal = Volume of (Metal + water) - volume of water
Volume of the matal = 65.5 - 62
Volume of the matal = 3.5 mL
Step 3:
Determination of the density of the metal block. This is illustrated below:
The density of an object is simply the mass of the object per unit volume of the object. It represented mathematically as:
Density = Mass /volume
Mass of the metal = 26g
Volume of the metal = 3.5 mL
Density =?
Density = Mass /volume
Density = 26g / 3.5mL
Density = 7.43 g/mL
In order for a space shuttle to leave Earth, it must produce a great amount of thrust. Its rocket boosters create this thrusting force by burning great amounts of fuel. However, once in space, the shuttle needs very little fuel. It circles Earth while gravity pulls it toward Earth. What term describes the motion of the shuttle around Earth?
Answer:
Orbit
Explanation:
The term that describes motion of the shuttle around earth is called as Orbit.
The orbit is defined as a regular repeating path that object takes around another.
The shuttle circles around the earth at a constant distance from earth surface is because of earth gravity and forward motion of earth.
Answer:
orbit
Explanation: