When the Gaussian surface is replaced with a cube of the same volume with the same center, the net flow across the surface remains constant.
What is gaussian surface?The Gaussian surface is a closed surface in three-dimensional space that may be used to compute the flux of a vector field. These vector fields might be gravitational fields, electric fields, or magnetic fields. A Gaussian surface is a three-dimensional enclosed surface used to calculate the flux of a vector field (gravitational field, the electric field, or magnetic field.) The Gaussian surface facilitates in calculating the intensity of the electric field gently due to the evenly dispersed charge. Any hypothetical closed surface's net electric flux is equal to 1/0 times the net electric charge enclosed inside that closed surface. The closed surface is also known as the Gaussian surface.
Here,
The net electric flux through any closed surface is proportional to the charge enclosed within the surface. Since the volume enclosed by both the spherical Gaussian surface and the cube is the same, the charge enclosed is also the same, and thus the net flux remains constant.
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a diver jumps into a pool (on earth) from a diving board 25 meters above the water. if it takes 3.30 seconds for her to reach the water, what was the vertical component of her velocity, in units of m/s?
The vertical component of her velocity, in units of m/s will be 32.54 m/s
To find the vertical component of velocity, we need to calculate the acceleration due to gravity. This can be done using the equation:
v = g * t
where we will have that v is the vertical velocity, g is the acceleration due to gravity (9.8 m/s^2 on Earth), and t is the time taken to reach the water. Plugging in the given values, we get:
v = 9.8 * 3.30 = 32.54 m/s
So the vertical component of the velocity of the diver is 32.54 m/s.
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what is the speed of the lander just before it touches the surface? the acceleration due to gravity on the moon is 1.6 m/s2 m / s 2 .
The speed of the lander just before it touches the surface is 4.3 m/s.
What are the equations of motion?A mathematical formula that explains the location, velocity, or acceleration of a body in relation to a specific frame of reference is known as an equation of motion. The basic equation of motion in classical mechanics is Newton's second law, which states that the force F acting on a body is equal to the mass m of the body multiplied by the acceleration an of its center of mass, F = ma.
If the force acting on a body is known as a function of time, the velocity and position of the body as functions of time can potentially be deduced from Newton's equation via the integration method. A falling body, for example, accelerates at a constant rate, g. The rate of change of velocity with respect to time is defined as acceleration.
Position of lander above the surface, h = 5.5 m
Initial speed while coming downward of lander = 0.8 m/s
Acceleration due to gravity on the moon, g = 1.6 m/s^2
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if both masses are tripled, what happens to the force?
If the mass of each object is increased by the a factor of three, the force will be multiplied by a factor of nine (3*3) if indeed the distance between both the objects is doubled and the mass of each object is tripled.
Describe a force example.A force is a force that possesses the power to accelerate something. This can literally mean pushing anything to move it across the room, like a big piece of furniture. It might be more metaphorical, like depressing the gas pedal on a car.
Where do forces come from?The interactions of two (or more) things result in forces. Each applies an equal but opposing power to the other. The object is propelled by external forces. The object's general motion is unaffected by an interior force.
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on the surface of planet x an object has a mass of 22.5 kg and a weighs 63.5 n. what is the gravitational field strength on the surface?
Weight/mass = gravitational field strength is the formula. The gravitational fields of other planets differ in strength.
Why is uniform motion referred to as rapid motion?When an object goes on a circular path at a constant speed, its magnitude of velocity remains constant. Only its orientation is always changing. As a result, it is classified as evenly accelerated motion.
Uniform linear motion is defined as traveling along a straight line at the same velocity. The magnitude or direction of the velocity varies in uniform circular motion, whereas magnitude and direction remain constant in uniform linear motion.
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In three to five complete sentences, explain two ways God keeps a balance in nature. Remember
to use proper grammar and mechanics when writing your sentences
The earth and the skies were made by God. Before there was a man, there was the sun, moon, stars, wind, water, land, trees, fruit, grass, and animals.
How God keeps balance in Nature?When God had finished creating all of these other things and determined that they were all good in His eyes, He then proceeded to make man.
In spite of the fact that God granted us dominion over all created things to control and tame them on our behalf, we humans are genuinely privileged because He made all of these things for His purposes and for His glory.
In the beginning, harmony and tranquility prevailed throughout all of nature.
Therefore, The earth and the skies were made by God. Before there was a man, there was the sun, moon, stars, wind, water, land, trees, fruit, grass, and animals.
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(a) a runner starts from rest and in 2 s reaches a speed of 9 m/s. if we assume that the speed changed at a constant rate (constant net force), what was the average speed during this 2 s interval? average speed
The average speed of an object during a time interval can be found by dividing the total distance traveled by the time interval. So the average speed during the 2 s interval was 4.5 m/s.
If the speed changed at a constant rate during the interval, then we can use the average speed as an approximation for the speed at the midpoint of the interval.
In this case, the runner started from rest and reached a speed of 9 m/s in 2 s, so the average speed would be half of the final speed:
average speed = (0 + 9 m/s) / 2
= 4.5 m/s
So the average speed during the 2 s interval was 4.5 m/s.
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you are on a snorkeling trip. deep below the water, you look up at the surface of the water. right at sunset, at what angle from the vertical do you see the sun?
When you are on a snorkeling trip. deep below the water, you look up at the surface of the water right at sunset, at a 48.59° angle to see the sun.
The crucial angle for total internal reflection is equal to the angle at which the sun appears when you are deep underwater and look up at the water's surface just before sunset.
In a clear material (like water), the critical angle is the angle of incidence when the angle of refraction is 90 degrees or greater. Beyond this critical angle, light cannot refract and is completely reflected into the denser medium (water) while it is traveling from a denser medium (water) to a less dense medium (air).
From the total internal reflection:
μ = sinθ
θ = sin⁻¹(μ)
Here, μ is the refractive index of water,
The angle is:
θ = sin⁻¹(1.333)
θ = 48.59°
Hence, when you are on a snorkeling trip. deep below the water, you look up at the surface of the water. right at sunset, at 48.59° angle to see the sun.
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two carts, each of mass 2.2 kg, collide on a frictionless track. before the collision, a has a velocity of 3.1 m/s east and b has a velocity of 5.4 m/s west. what is the velocity of cart b after the collision?
Answer:
The velocity of cart B after the collision can be determined using the law of conservation of momentum.
Momentum is conserved in an isolated system, meaning that the total momentum before the collision is equal to the total momentum after the collision.
Let's call the velocity of cart B after the collision "v". The initial momentum of the system is:
m_A * v_A + m_B * v_B = (2.2 kg) * (3.1 m/s) + (2.2 kg) * (-5.4 m/s) = 0
And the final momentum of the system is:
m_A * v_A + m_B * v = (2.2 kg) * (3.1 m/s) + (2.2 kg) * v = 0
Solving for v, we find:
v = 5.4 m/s
So the velocity of cart B after the collision is 5.4 m/s.
What is the total pressure exerted by a mixture containing two gases if the partial pressure of one gas is 70 torr and the partial pressure of the other gas is 30 torr? 100 torr40 torr70 torr30 torr
If one gas's partial pressure is 70 torr as well as the second gas's partial pressure is 30 torr, then the total force exerted by such a mixture including those two gases is 100 torr.
What is pressure and its SI unit?Pressure is characterised as the thrust acting per unit area of a body (perpendicular force on a surface). Mathematically, it can be stated as follows: Pascal is the SI unit of pressure (Pa). One Pascal is the amount of pressure one Newton of force produces over a one-meter-squared surface. In addition, 1 P a = 1 N / m 2.
What type of energy is pressure?Air pressure is described as that of the average energy transfer every unit area per unit time caused by molecular collisions between such a confined gas as well as its boundary in the kinetic theory for ideal gases. A surface's pressure can be expressed as the amount of force applied per square inch. Pressure P=F/A if normal Force is applied to area A.
Total pressure = 70torr + 30torr
=100torr.
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if you were to sketch a displacement-time graph and a speed-time graph for an object experiencing constant acceleration, what would they look like?
The displacement-time graph for an object experiencing constant acceleration would be a parabolic shape, with the displacement increasing at an increasing rate over time. The speed-time graph for an object experiencing constant acceleration would be a linear graph, with the speed increasing linearly with time.
The displacement-time graph would not be linear although the speed-time graph would.
When a velocity-time graph of a motion with a changing, positive velocity is plotted, it produces a sloped line. Positive acceleration is shown in the line's positive slope. Additionally, only positive values for velocity are presented, signifying a motion with a positive velocity.
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a mouse sees a piece of cheese on a conveyor belt moving at 3 m/s. the mouse runs straight toward the cheese at 4 m/s. once on the conveyor belt, what is the speed of the mouse relative to the floor? a mouse sees a piece of cheese on a conveyor belt moving at 3 m/s. the mouse runs straight toward the cheese at 4 m/s. once on the conveyor belt, what is the speed of the mouse relative to the floor? 3 m/s 4 m/s 5 m/s 6 m/s 7 m/s
Once the mouse is on the conveyor belt, its speed relative to the floor will be 7 m/s, as the conveyor belt is moving at a speed of 3 m/s and the mouse is running at a speed of 4 m/s.
The speed of the conveyor belt relative to the floor is 3 m/s.The speed of the mouse relative to the conveyor belt is 4 m/s.The speed of the mouse relative to the floor is the sum of the speed of the conveyor belt relative to the floor and the speed of the mouse relative to the conveyor belt.Therefore, the speed of the mouse relative to the floor is 3 m/s + 4 m/s = 7 m/s.Learn more about speed:
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a box sits on a horizontal table. a string with tension t pulls to the right, but static friction between the box and the table prevents the box from moving. 1)what is the magnitude of the static frictional force acting on the box
Magnitude of the static frictional force acting on box is : c)T. Hence option c) is the correct answer. It is not moving therefore static friction needs to equal to force so that net force is zero.
What is static friction?The force of friction on an object that is not moving is called as static friction. If you push on stationary block and it doesn't move, then it is being held by static friction which is equal and opposite to your push.
Force acting on an object is said to be static force if it does not change the size, position, or direction of the particular object. Force applied to a structure acts as load to that structure, which is why static force is also known as static load.
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Note: The question given on portal is incomplete. Here is the complete question.
Question: A box sits on a horizontal table. A string with tension T pulls to the right, but static friction between the box and the table prevents the box from moving.
1)What is the magnitude of the static frictional force acting on the box?
a) Mg
b) μMg
c) T
d) 0
a car and a truck start from rest at the same instant, with the car initially at some distance behind the truck. the truck has a constant acceleration of 2.10 m/s2 and the car an acceleration of 3.40 m/s2. the automobile overtakes the truck after the truck has moved 60.0 m. a) t=7.56s b) how far was the car behind the truck initially? c) what is the speed of the truck when they are abreast? d) what is the speed of the car when they are abreast?
Each moves past the other at a pace of 15.876 meters per second.
A constant acceleration is defined.How rapidly a particle's velocity varies in proportion to time is referred to as its "acceleration." When a subatomic particle velocity varies at a set rate, the change is referred to as constant acceleration.
A = v v 0 t does exist. This means that, for a certain period of time, is if difference between the and end velocity is small, the velocity is negligible and goes to zero in the limit when they are equal. Consider a particle moving uniformly around a circle; it accelerates since the motion's vector is changing, but it keeps its speed constant along perpendicular throughout the motion.
In this question, we'll be making use of
x - x₁ = v₁t + ½at²
The above equation is a modification of
x = vt + ½at²
Where x = distance
v = velocity of the body
a = acceleration of the body
t = time
x - x₁ = v₁t + ½at²
Assuming the starting point of the bodies x₁ = 0 which is at rest, the car sped past the truck at 60m.
x - x₁ = v₁t + ½at²
x₁ = 0
v₁ = 0
x = 60
a = 2.10
t = ?
60 - 0 = 0 × t = ½ × 2.10t²
Solve for t
60 = 1.05t²
t² = 60 / 1.05
t² = 57.14
t = √(57.14)
t = 7.56s
The time it took the car to over take the truck is 7.56s
b).From our previous equation,
x - x₁ = v₁t + ½at²
Same variable except
a = 3.40m/s² and t = 7.56s
60 - x₁ = 0 + ½ × 3.40 × 7.56²
60 - x₁ = 97.16
x₁ = 60 - 97.16
x₁ = -37.16m
The car was behind the truck by 37.16m or the truck was ahead of the car by 37.16m.
c).The initial speed of the car ?
v = u + at
u = 0m/s
a = 3.40m/s²
v = 0 + 3.40 × 7.56
v = 25.704m/s
The initial speed of the truck = ?
v = u + at
u = 0m/s
a = 2.10m/s
v = 0 + 2.10 × 7.56
v = 15.876m/s
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a 95.0 kg fullback moving south with a speed of 5.0 m/s has a perfectly inelastic collision with a 90.0 kg opponent running north at 3.0 m/s. a. calculate the velocity of the players just after the tackle. b. calculate the decrease in total kinetic energy as a result of the collision.
The velocity of the players just after the tackle 4.027 m/s and the change in kinetic energy will be 92 J
The system's overall momentum is conserved in an inelastic collision because the two bodies travel at the same speed.
Assuming v as the final speed, we obtain the following by maintaining momentum:
(m + M)v = mu - MU
where
m = 95 kg is the fullback's mass
M = 90 kg is the opponent's mass.
u = 5 m/s for the fullback's pace
opponent's speed, U = 3 m/s
The opponent's momentum is negative since he must be travelling in the opposite direction from the fullback.
(m + M)v = mv + Mv
95×5 + 90×3 = (90 +95)v
205 = 185v
v = 4.027 m/s
Consequently, both players move at a 4.027 m/s speed.
Similarly final KE of the player
KE = 1/2 (m+M) V²
KE = 1/2 (95+90)x 4.027 ²
KE = 1500 J
so the change in KE will be
1592-1500 = 92 J
Thus the velocity of the players just after the tackle 4.027 m/s and the change in kinetic energy will be 92 J
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which would you measure in kilograms? (1 point) the mass of a butterfly, the capacity of a bottle, the mass of a basketball, the length of a river
Which liquid has a specific heat capacity of 1000 J/kg degrees Celsius?
Paraffin has a specific heat capacity of 1000 J/kg degrees Celsius.
What is specific heat capacity?The massic heat capacity, also known as the specific heat capacity or symbol c in thermodynamics, is the quotient of the heat capacity of a sample of a substance and its mass.
Informally, it is the quantity of heat needed to raise a substance's temperature by one degree for every unit of mass that is added to it.
SI unit of specific heat capacity is J-kg⁻¹-K⁻¹.
The specific heat capacity of paraffin is about 1000 J/kg degrees Celsius. Hence, paraffin is the liquid.
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when you take clothes out of the dryer right after it stops. the clothes often stick to your hands and arms. explain how the clothes acquires a charge
Clothes acquire a charge when taken out of a dryer due to the triboelectric effect.
The triboelectric effect is the transfer of electrons from one material to another due to friction, pressure, or contact. In a dryer, clothes are subjected to friction as they rub against each other and the drum of the dryer, which can cause electrons to transfer from one material to another. Some materials, such as synthetic fibers, have a tendency to lose electrons and become positively charged, while others, such as natural fibers, have a tendency to gain electrons and become negatively charged.
When clothes are taken out of the dryer, the negatively charged fibers will tend to stick to positively charged objects, such as skin, due to the attraction between opposite charges. This is why clothes often stick to your hands and arms after being taken out of the dryer.
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the force of attraction between two or more objects
The offered statement claims that gravity is the gravitational pull amongst two or more things.
What in physics is a force?The essence of force in quantum mechanics is: The pull or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
What is the scientific definition of force?The term "force" has a specific meaning in science. At this level, calling a force a pushes or a yank is quite appropriate. A spirit is not a substance an item "has in it" or that it "contains." One thing experiences a force from another.
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if the electric field is 108 n/c at a distance of 59 cm from a point charge q, what is the value of q (in c)? (enter the magnitude.)
If the electric field is 108 n/c at a distance of 59 cm from a point charge q, the charge on the point charge is 9.98 x [tex]10^{-19}[/tex] Coulombs.
We can use the equation for the electric field produced by a point charge to find the charge:
E = k * q / [tex]r^{2}[/tex]
where,
E = the electric field, equal to 108 N/C
k = the Coulomb constant, equal to 8.99 x [tex]10^{9}[/tex] N [tex]m^{2}[/tex] / [tex]C^{2}[/tex]
q = the charge
r = the distance from the point charge, equal to 59 cm = 0.59 m
Rearranging the equation to solve for q, we get:
q = E * [tex]r^{2}[/tex] / k
Plugging in the values, we get:
q = 108 N/C * [tex](0.59 m)^{2}[/tex] / 8.99 x [tex]10^{9}[/tex] N [tex]m^{2}[/tex] / [tex]C^{2}[/tex] )
q = 9.98 x [tex]10^{-19}[/tex] C
So the charge on the point charge is 9.98 x [tex]10^{-19}[/tex] C, or 9.98 x [tex]10^{-19}[/tex] Coulombs.
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A circuit with 0.7 A running through the battery and two 16 Ω resistors in parallel. What is the voltage of the battery?
Answer:
Below
Explanation:
The two PARALLEL resistors equal: 1 / (1/16 + 1/16) = 8 Ω
V = IR = .7 (8) = 5.6 v
how does a voltage in one coil result in a different voltage in a second coil in a microwave transformer?
Answer:
A changing current in the primary coil induces an e.m.f in the secondary. Since the e.m.f generated depends on the number of turns, the voltage induced in the secondary can be changed - stepped up or down - by altering the turn's ratio.
Rock A is thrown horizontally off of a cliff with a velocity of 20 m/s. The rock lands 60 m from the base of the cliff. Om/s? V=20 m/s 3 m/s? 9.8 m/s? 20 m/s? 60 m CLEAR ALL According to the information and diagram shown above, what is the magnitude of the vertical acceleration for Rock A after it is released?
After being released, Rock A experiences a vertical acceleration of 9.8 m/s2. The acceleration brought on by gravity, which is constant for all objects close to the Earth's surface.
What is called velocity?The vectorial representation of a particle or object's motion with respect to time is called velocity. The metre per second (m/s), usually referred to as speed, is the accepted unit of velocity magnitude. As an alternative, the velocity magnitude can be expressed in centimetres per second (cm/s). Simply said, velocity is the rate of motion of an object in a specific direction. Using an automobile driving north on a highway as an example, or a rocket after it has launched, as an example of speed.
Why is velocity a vector?Speed is a scalar quantity because it just has magnitude and no direction. A vector is necessary to "carry" something from point A to point B; the Latin root of the word vector denotes "carrier". The first to use it were astronomers in the 18th century who were researching planetary rotation around the Sun.
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How does temperature change from planets to planets in our solar system?
The further a planet is from the Sun, the colder its surface temperatures tend to be. Venus is an exception, since it has the highest surface temperature in our solar system due to its close closeness to the Sun and its thick atmosphere.
What was the temperature of the solar system when the planets first formed?The inner planets are rocky, whereas the outer planets are gaseous, which can be attributed to the early solar system's temperature. The solar system's temperature increased as the gases came together to create a protosun. Temperatures in the inner solar system reached 2000 K, whilst in the outer solar system, it was only 50 K.
The quantity of heat received is just one of many intricate aspects that go into determining the temperature.
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what are the units of k for a third order reaction?
The unit of a third-order reaction is mol-2L2s-1.
What are some examples of the order of reaction?
The total of the exponents that the concentration terms in the rate law are increased to determine the reaction's overall order. Take the products of the reaction aA+bB, for instance. Reactants A and B are in that sequence in the reaction, which is a and b, respectively. The reaction happens in the general order a+b.
Which reaction order's units of k are appropriate?
The overall reaction sequence affects the units of the rate constant, k. M/s, 1/s, and 1/(Ms) are the units of k for zero-order reactions, first-order reactions, and second-order reactions, respectively.
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how does the law of superposition help determine the age of fossils compared to others?
in getting ready to slam-dunk the ball, a basketball player starts from rest and sprints to a speed of 6.26 m/s in 2.20 s. assuming that the player accelerates uniformly, determine the distance he runs.
The basketball player runs a distance of 12.54 meters to reach the speed of 6.26 m/s.
The average velocity of the basketball player can be calculated using the equation:
v = v0 + a * t
Where v is the final velocity, v0 is the initial velocity (0 m/s), a is the acceleration, and t is the time taken. We can rearrange this equation to solve for a:
a = (v - v0) / t = (6.26 m/s - 0 m/s) / 2.20 s = 2.83 m/s^2
Next, we can use the equation for distance travelled under constant acceleration:
d = v0 * t + 0.5 * a * t^2
Plugging in the given values, we get:
d = 0 * 2.20 s + 0.5 * 2.83 m/s^2 * 2.20 s^2 = 12.54 m
So the basketball player runs a distance of 12.54 meters to reach the speed of 6.26 m/s.
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a physics student places an object 6.0 cm from a converging lens of focal length 9.0 cm. what is the magnitude of the magnification of the image produced?
The magnitude of the magnification of the image produced is 3.0 cm.
In optics, magnification refers to the image's size in relation to the item that produced it. The ratio of the image length to the object length, as measured in planes perpendicular to the optical axis, is referred to as linear magnification, also known as lateral or transverse magnification. An inverted image is shown by a linear magnification value that is negative. The size-increasing factor, as determined along the optical axis, is known as longitudinal magnification. When measured from a specific point in the instrument, as is the case with magnifiers and binoculars, angular magnification is equal to the ratio of the tangents of the angles subtended by an object and its image.
[tex]\frac{1}{f}=\frac{1}{v}+\frac{1}{u}[/tex]
[tex]\frac{1}{9.0cm}=\frac{1}{v}+\frac{1}{6.0}[/tex]
[tex]\frac{1}{v}=\frac{1}{9}-\frac{1}{6}[/tex]
v=-18.0 cm
[tex]M=\frac{-v}{u}[/tex]
[tex]M=\frac{-18}{6}[/tex]
M=3.0 cm
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near the end of a marathon race, the first two runners are separated by a distance of 65.0 m . the front runner has a velocity of 3.25 m/s , and the second runner has a velocity of 4.75 m/s . what is the magnitude of the velocity of the second runner relative to the first?
The magnitude of the velocity of the second runner relative to the first is 1.50 m/s
The velocity of the second runner relative to the first runner can be found using the following formula:
v_rel = v_2 - v_1
Where v_rel is the relative velocity, v_2 is the velocity of the second runner (4.75 m/s), and v_1 is the velocity of the first runner (3.25 m/s). Plugging in the values, we get:
v_rel = 4.75 m/s - 3.25 m/s = 1.50 m/s
The magnitude of the velocity of the second runner relative to the first is the absolute value of v_rel:
|v_rel| = |1.50 m/s| = 1.50 m/s
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Rank the following worlds by the strength of wind erosion currently operating on their surfaces, from greatest to least:
a. Mercury
b. Venus
c. Earth
d. Moon
e. Mars
The required rank is; a. Mars, b. Earth, c. Moon, d. Venus,e. Mercury
What is wind erosion ?The natural process of wind erosion involves the movement of dirt from one place to another. Significant economic and environmental harm may result from it.
According to question:Wind erosion is primarily caused by the combination of wind speed and wind duration. On Mars, wind speeds can reach up to 60 meters per second and has a thin atmosphere which allows it to erode the surface. Earth has strong winds in certain regions, but not enough to cause significant erosion.
The Moon and Venus have very little or no atmosphere, therefore no wind erosion occurs.
Mercury has a very thin atmosphere, but wind speeds are not enough to cause significant erosion.
Thus, required rank is;
a. Mars
b. Earth
c. Moon
d. Venus
e. Mercury
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Did Earth's inner core stop spinning? Is it true that new study finds Earth may soon spin in reverse?
Answer:
Earth's inner core may have stopped turning and could go into reverse, study suggests. The rotation of Earth's inner core may have paused and it could even go into reverse, new research suggests. The Earth is formed of the crust, the mantle and the inner and outer cores.
Explanation: