The bullet will hit the ground approximately 164.25 meters away from the base of the building.
Assuming no air resistance, we can use the equations of motion to solve this problem.
First, we need to find the time it takes for the bullet to hit the ground. We can use the equation:
h = 1/2 * g * t^2
where h is the height of the building, g is the acceleration due to gravity (approximately 9.81 m/s²), and t is the time taken for the bullet to hit the ground.
Plugging in the values, we get:
30 = 1/2 * 9.81 * t²
Solving for t, we get:
t = √(30 / (1/2 * 9.81)) = 2.19 seconds
Now that we know the time, we can find the horizontal distance traveled by the bullet using the equation:
d = v * t
where d is the horizontal distance, v is the initial velocity of the bullet, and t is the time taken for the bullet to hit the ground.
Plugging in the values, we get:
d = 75 * 2.19 = 164.25 meters
Therefore, the bullet will hit the ground approximately 164.25 meters away from the base of the building.
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consider a cold canned (typically cylindrical in shape) drink left on a table. would the heat transfer be steady or transient? would you model the heat transfer as one-, two-, or three-dimensional? also, which coordinate system would you use to analyze this heat transfer problem?
The heat transfer in this situation would be transient, as the temperature of the room, the can, and the drink inside the can are all changing over time.
The heat transfer can be modeled as a two-dimensional problem, since the can is cylindrical in shape and the temperature of the can and the drink inside the can will only depend on the vertical and horizontal components of heat transfer. The coordinate system used to analyze the heat transfer problem would be cylindrical, since it is the most appropriate for modeling a cylindrical object. In this system, the radial direction is along the circular circumference of the can, and the axial direction is along the length of the can. The temperature of the can and the drink inside the can can then be calculated using the two-dimensional equations of heat transfer, which consider both the radial and axial components of heat transfer.
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Which scenario shows how to use collaborative learning to explore potential energy?
Answer:
Members of a team work together to create a plan, and then members choose different tasks to carry out the plan.
consider a 20 mm x 20 mm x 1 mm silicon die that dissipates 50 w. the electrical circuitry is on the back side of the die and all the heat is transferred from the front side and is dissipated from there. if the thermal conductivity of silicon is 125 w/moc, what is the temperature difference across the die?
A temperature difference (T) is the result of subtracting two independent isolated temperature measurements or measuring the amount of temperature rise or decline.
The two layers are the same thickness, but the materials are not. A's thermal conductivity is double that of B's. The temperature difference between the two ends of the wall in thermal equilibrium is 36o C. Determine the beginning and end temperatures, as well as the sample mass and energy provided. Subtract the end and starting temperatures to get the temperature change (T). Multiply the temperature difference by the mass of the sample. Distribute the heat/energy supplied by the product.
To calculate the temperature difference, just subtract the smaller figure from the bigger one, in this example 19 degrees Celsius from 25 degrees Celsius. This results in a six-degree Celsius temperature differential.
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What is the velocity of a skater who is 10 kg, and has a Kinetic energy of 10000 Joules?
Answer:
44.7 meter per second
Explanation:
The formula to find velocity is
V = (2 · KE / m)^1/2
V = velocity
KE = Kinetic energy
m = mass
Let's calculate
(2 · 10000 / 10) ^1/2 = 44.7 meter per second
what is the value and the direction of an electric field at a distance of 2.5 m from a 1 nc charge?
The electric field strength is positive, which means that the direction of the electric field is radially outward from the charge.
What is an electric field?The electric field strength at a distance r from a point charge q is given by:
[tex]E = k*q/r^2[/tex]
where k is Coulomb's constant, which has a value of approximately[tex]9.0 x 10^9 N m^2/C^2.[/tex]
In this case, we have a point charge [tex]q = 1 nC = 1 x 10^-9 C[/tex] located at a distance r = 2.5 m.
Substituting these values into the equation above, we get:
[tex]E = (9.0 x 10^9 N m^2/C^2) * (1 x 10^-9 C) / (2.5 m)^2[/tex]
[tex]E = 1.44 x 10^-6 N/C[/tex]
The electric field strength is positive, which means that the direction of the electric field is radially outward from the charge.
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a bungee cord with a spring constant of 800 stretches 6 meters at its greatest displacement. how much elastic potential energy does the bungee cord have? the bungee cord has j of elastic potential energy.
Potential energy is a form of stored energy that is dependent on the relationship between different system components.
The bungee cord has 14400 joules of elastic potential energy.
The elastic potential energy of a spring (or in this case, a bungee cord) is given by the formula:
Elastic potential energy = [tex]1/2 * k * x^2[/tex]
Where:
k = spring constant
x = displacement from the equilibrium position
In this case, we know that the spring constant (k) is 800 and the maximum displacement (x) is 6 meters. Plugging these values into the formula, we get:
Elastic potential energy = [tex]1/2 * 800 * 6^2[/tex]
Elastic potential energy = [tex]1/2 * 800 * 36[/tex]
Elastic potential energy = 14400 joules
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the sun continues to shine today because of two kinds of balance. what are they and how do they work?
The two kinds of balance that keep the Sun shining are thermal equilibrium and hydrostatic equilibrium.
Thermal Equilibrium: The Sun shines by nuclear fusion, a process in which hydrogen atoms combine to form helium and release energy in the form of light and heat.
Hydrostatic Equilibrium: The Sun is also in hydrostatic equilibrium, which is the balance between the inward gravitational force and the outward pressure force.
These two balances are delicately intertwined and any disturbance to them could result in a catastrophic event such as a supernova or a collapse.
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bulbs a, b, and c in the figure are identical, and all are glowing. (a) rank in order, from most to least, the brightnesses of the three bulbs. (b) suppose a wire is connected between points 1 and 2. what happens to each bulb?
Bulb C goes out, Bulb A shines brighter (due to higher current), and Bulb B goes out (because to insufficient current) ( due to no current )
What does the term "current" signify in relation to electricity?The term "electric current" is frequently used to describe how much electricity flows through a circuit and how it flows in an electronic circuit. Amperes are used to measure it (A). As more electricity passes across the circuit, the ampere value increases.
What is a contemporary example?Starting a car, turning on a light, using an electric stove, watching TV, shaving with an electric razor, playing video games, using a phone, and charging a mobile phone are examples of current electricity.
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Hi could someone help me answer these questions from my worksheet, thanks!
2. The field representation of a positive charge would not be a good representation of the gravitational field around one mass because the electric force between charged particles is an electromagnetic force that behaves differently from the gravitational force between masses.
3. The field around two positive charges would not be a good representation of the gravitational field around two masses because the direction of the electric force between two charges is dependent on their relative positions and charges, whereas the direction of the gravitational force between two masses is always attractive and points toward the center of mass.
4, A good analogy for the process of work being done and electric potential energy being stored when positive and negative charges are moved farther apart would be the process of lifting a heavy object because work must be done to lift a heavy object and store gravitational potential energy, work must be done to separate positive and negative charges and store electric potential energy.
5. The gravitational force is the dominant force we notice in our everyday interactions and at planetary or larger scales because it depends only on the mass of the objects, which is typically much larger than their charge.
What is the difference between gravitational force and electric force?The gravitational force between two masses is proportional to the product of their masses and inversely proportional to the square of the distance between them, while the electric force between two charges is proportional to the product of their charges and inversely proportional to the square of the distance between them.
Gravitational force is a long-range force that acts between all masses, while the electric force is a short-range force that acts only between charged particles.
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what is the electric field strength inside the hole at radial distance r
The electric field is given by the formula e for the sphere + e for the cylinder, which is equal to negative row r over 3 б+ ρr over 2 б + ρr / s.
We prefer to find the strength of our electric field at r because distances are less than a. If an is less than a, we can think of our length cylinder as being coaxial with a galcene cylinder of radius r. Now, let's say that our cylinders resemble this. The charge contained within the cylinder is then equal to either row times v or row pi r, squared times l. Gauss law can then be used to calculate our electric field.
Since e da da is equal to q, enclosed divided by epsilon naught, e times integral of da is equal to q, enclosed divided by epsilon naught, so e times 2 π r l = rho π r, squared l divided by Epsilon naught, so e is equal to row r divided by 2 б. Since the average cylinder is positively charged, this Let's now think about a galcene sphere with radius r. This calcium sphere has a charge that is negative row times 4/3πr³.
Let's now determine the electric field at a place that is e times away from the centre. Negative row 4/3πr³/б (epsilon) = 4πr². As a result, some of these components of our electric field—which is negative, pi negative row, and r divided by 3 epsilon—are also present inside the hole. So, we do. The electric field is given by the formula e for the sphere + e for the cylinder, which is equal to negative row r over 3 epsilon plus row r over 2 epsilon plus row r divided by s.
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if the cross-sectional area of the venture tube is 2 times larger at point a than it is at point b .what the air speed at point b is? (25.6 m/s)
If the cross-sectional area of the venturi tube is 2 times larger at point a than it is at point b then according to the continuity equation, the airspeed at point B is 0 m/s.
we know that the cross-sectional area of the Venturi tube is 2 times larger at point A than it is at point B.
Therefore, we can infer that the airspeed at point B is higher than the airspeed at point A. To determine the airspeed at point B, we can use the continuity equation.
It states that the mass flow rate of a fluid through a tube is constant at all points along the tube. Mathematically, this can be expressed as:
A1V1 = A2V2
where A1 and V1 are the cross-sectional areas and airspeed, respectively, at point A, and A2 and V2 are the cross-sectional areas and airspeed, respectively, at point B.
We are given that the airspeed at point A is 0 m/s, and the cross-sectional area at point A is 2 times larger than at point B.
Let's denote the cross-sectional area at point B as A, so the cross-sectional area at point A is 2A. We are also given that the airspeed at point B is V2.
By using the continuity equation, we can write:
(2A)(0 m/s) = AV2
Simplifying this equation, we get:
V2 = 0 m/s / 2
V2 = 0 m/s
Therefore, according to the continuity equation, the airspeed at point B is 0 m/s.
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Select the gas with the highest average kinetic energy per mole at 298 K.
a. carbon dioxide
b. all have the same kinetic energy
c. hydrogen
d. water
e. oxygen
Hydrogen (H2) has the highest average kinetic energy per mole at 298 K. So, the correct option is (c) hydrogen.
What is average kinetic energy?The average energy of gas particles as a result of their mobility is measured by the gas's average kinetic energy. It is closely related to the gas's temperature, which is a gauge of the system's average particle kinetic energy. The following equation provides a gas's typical kinetic energy:
KEavg = kT (3/2)
where T is the absolute temperature of the gas in Kelvin, k is Boltzmann's constant, and KEavg is the average kinetic energy of a gas.
According to question:
Since a gas's average kinetic energy is directly correlated with its temperature, the gas with the lowest molar mass will have the highest average kinetic energy per mole at any given temperature.
Our calculations based on the molar masses of the given gases at standard conditions (298 K, 1 atm) show that hydrogen (H2) has the lowest molar mass at 2.016 g/mol, followed by carbon dioxide (CO2), water (H2O), and oxygen (O2), which have molar masses of 44.01 g/mol, 18.02 g/mol, and 32.00 g/mol, respectively.
In light of this, at 298 K, hydrogen (H2) has the highest average kinetic energy per mole. Hydrogen is the proper response, which is (c).
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the focal length of the lens of a simple digital camera is 5.7 mm, and it is originally focused on a flower 1.5 m away. in what direction must the lens be moved to change the focus of the camera to a tree 100 m away?
Lens of digital camera must be moved approximately 99.4 meters farther away from the flower to focus on the tree.
To change the focus of the camera from a flower 1.5 m away to a tree 100 m away, we need to move the lens to adjust the distance between the lens and the image sensor. This adjustment changes the focal length of the lens and allows the camera to focus on objects at different distances.
The focal length of the lens, f, is related to the distance between the lens and the image sensor, d, by the thin lens equation:
[tex]1/f = 1/d_o + 1/d_i[/tex]
where [tex]d_o[/tex] :object distance (lens to object distance), and [tex]d_i[/tex] : image distance (lens to image sensor distance).
For the original focus on the flower, we have:
f = 5.7 mm,
[tex]d_o[/tex]= 1.5 m, [tex]d_i[/tex] = ?
Using the thin lens equation, we can solve for d_i:
[tex]1/5.7 mm = 1/1.5 m + 1/d_i[/tex]
[tex]d_i[/tex] = 5.9 mm
The image sensor is 5.9 mm away from the lens when the camera is focused on the flower.
For the new focus on the tree, we have:
f = 5.7 mm
[tex]d_o[/tex] = 100 m, [tex]d_i[/tex] = ?
Using the thin lens equation again, we can solve for d_i:
[tex]1/5.7 mm = 1/100 m + 1/d_i[/tex]
[tex]d_i[/tex]= 5.77 mm
To change the focus of the camera from the flower to the tree, we need to move the lens by a distance Δd such that the new image distance is 5.77 mm. We can use the thin lens formula to find the new object distance:
[tex]1/5.7 mm = 1/d_o + 1/5.77 mm[/tex]
[tex]d_o[/tex] = 100.9 m
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a potter's wheel moves uniformly from rest to an angular speed of 0.19 rev/s in 34.0 s. (a) find its angular acceleration in radians per second per second.
The angular acceleration of the potter's wheel that moves uniformly is [tex]0.0352 radians/s^2[/tex]
Angular acceleration is a measure of how quickly an object's angular velocity changes with respect to time. In this case, the potter's wheel undergoes a uniform acceleration, which means that its angular acceleration remains constant over time.
We can use the following equation to find the angular acceleration of the potter's wheel:
angular acceleration = (final angular speed - initial angular speed) / time
Here, the initial angular speed is zero because the wheel starts from rest. The final angular speed is 0.19 rev/s. The time taken to reach this speed is 34.0 s. We can convert the final angular speed to radians per second using the conversion factor 1 rev/s = 2π radians/s:
final angular speed = 0.19 rev/s * 2π radians/rev = 1.196 radians/s
Put values:
angular acceleration = (1.196 radians/s - 0 radians/s) / 34.0 s = [tex]0.0352 radians/s^2[/tex]
Therefore, the angular acceleration of the potter's wheel is [tex]0.0352 radians/s^2[/tex]
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at time t 0, the velocity is (4.00 m/s)i. what are the (a) magni- ilw tude and (b) angle of its velocity when it has been displaced by 12.0 m parallel to the x axis? a moderate wind accelerates a pebble over a horizontal xy plane with a constant acceleration .
(a) magnitude of the final velocity is 11.94 m/s, and the (b) angle of the final velocity with respect to the positive x-axis is 37.1°.
We can tackle this issue utilizing kinematic conditions. Since the speed increase is consistent, we can utilize the accompanying conditions:
v = u + at
s = ut + 1/2 [tex]at^2[/tex]
[tex]v^2 = u^2[/tex] + 2as
where u is the underlying speed, v is the last speed, t is the time, s is the dislodging, and an is the speed increase.
Given: u = 4.00 m/s I, a = 5.00[tex]m/s^2[/tex] I + 7.00 [tex]m/s^2[/tex] j, s = 12.0 m lined up with the x-pivot.
Utilizing the second kinematic condition, we can address for the time taken to venture to every part of the distance:
s = ut + 1/2 [tex]at^2[/tex]
12.0 = 4.00t + 1/2 (5.00)[tex]t^2[/tex]
5.00[tex]t^2[/tex] + 4.00t - 12.0 = 0
Settling for t utilizing the quadratic recipe, we get:
t = 1.09 s (taking the positive root)
Utilizing the first kinematic condition, we can tackle for the last speed in the x-course:
v_x = u_x + a_x t
v_x = 4.00 + 5.00(1.09)
v_x = 9.45 m/s
Utilizing the Pythagorean hypothesis, we can track down the greatness of the last speed:
|v| = sqrt([tex]v_x^2 + v_y^2[/tex])
|v| = sqrt(([tex]9.45)^2[/tex] + ([tex]7.00)^2[/tex])
|v| = 11.94 m/s
Utilizing the reverse digression capability, we can track down the point of the last speed regarding the positive x-hub:
θ = [tex]tan^(- 1)[/tex](v_y/v_x)
θ = [tex]tan^(- 1)[/tex](7.00/9.45)
θ = 37.1°
Thusly, the (a) magnitude of the last speed is 11.94 m/s, and the (b) angle of its velocity as for the positive x-pivot is 37.1°.
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The complete question is:
A moderate wind accelerates a pebble over a horizontal xy plane with a constant acceleration
a=(5.00m/s 2) i^+(7.00m/s 2) j^ .
At time t=0, the velocity is (4.00m/s) i ^.What are the (a) magnitude and (b) angle of its velocity when it has been displaced by 12.0m parallel to the x axis?
If a cloud passes in front of sirius and reduces the flux that reaches you by a factor of 3, how many times brighter than vega will it be?
Vega will be about 6.5 times brighter than Sirius after the cloud passes in front of it.
The flux received from a star is,
Flux = Luminosity / (4π × distance²)
According to the HYG Database, Sirius has a distance of about 8.6 light years from us, while Vega has a distance of about 25 light years.
Original flux received from Sirius as F(S), then the flux received after the cloud passes in front of it will be 1/3 F(S). To calculate the relative brightness of Vega compared to Sirius,
(d(Sirius) / d(Vega))² = F(Vega) / F(Sirius)
where d(Sirius) and d(Vega) are the distances between Sirius and Vega, respectively.
F(Vega) = F(Sirius) × (d(Vega) / d(Sirius))²
= (1/3 F(S)) × (25 / 8.6)²
≈ 6.5 × F(Sirius)
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an object whose center of gravity is above its base of support will be unstable if a vertical line projected downward from the center of gravity falls outside of the base of support. true false
An object whose center of gravity is above its base of support will be unstable if a vertical line projected downward from the center of gravity falls outside of the base of support. This statement is true.
The center of gravity of an object is the point at which its weight can be considered to act. If the center of gravity is above the base of support, the object will tend to tip over or fall if the vertical line projected downward from the center of gravity falls outside of the base of support.
If the base of support is not wide enough to counteract this torque, the object will become unstable and tip over.
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if you double the length of a cylindrical wire and reduce its diameter by half, the resistance of the wire will be
The resistance of the wire will increase by a factor of 8.
When the length of a wire is doubled, its resistance also doubles because resistance is directly proportional to the length. On the other hand, when the diameter of the wire is halved, the cross-sectional area of the wire reduces by a factor of 4 (πr^2 -> π(r/2)^2). As a result, the resistance decreases by a factor of 1/4.
So, when both changes are made, the resistance of the wire increases by a factor of 8 (2 x 4). This is because the effect of doubling the length is greater than the effect of halving the diameter. Thus, the net effect is an increase in resistance. This relationship between resistance, length, and cross-sectional area is described by the formula for resistance, which is R = ρL/A, where R is the resistance, ρ is the resistivity of the material, L is the length of the wire, and A is its cross-sectional area.
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7. a charge of 4.2c is placed at each corner of a square 0.100m on a side. determine the magnitude of the force on each charge.
The magnitude of the force on each charge is approximately 3.16 × 10^-15 N.
What is magnitude of the force?
The magnitude of the force is a measure of the strength of the force between two charged objects. In this case, we have four charged objects arranged in a square, and we want to find the magnitude of the force acting on each of these objects. The magnitude of the force is given by Coulomb's law, which depends on the charges of the objects and the distance between them. In this problem, we assume that the charges are point charges and the square is a plane, and use Coulomb's law to calculate the magnitude of the force between two opposite charges. The magnitude of the force on each charge is then determined by adding up the forces due to the other three charges. The result is a numerical value that tells how strong the force is on each charge, but it does not tell us the direction of the force.
Assuming that the charges are point charges and the square is a plane, the magnitude of the force between two point charges can be calculated using Coulomb's law:
F = (k * q1 * q2) / r^2
where F is the force between the charges, k is Coulomb's constant
(9 × 10^9 N·m^2/C^2), q1 and q2 are the charges, and r is the distance between the charges.
In this case, each corner of the square has a charge of 4.2c, where c is the elementary charge (1.602 × 10^-19 C). So, the charges are:
q1 = q2 = q3 = q4 = 4.2c = 4.2 * 1.602 × 10^-19 C
= 6.7244 × 10^-19 C
The force on one of the charges is the vector sum of the forces due to the other three charges. Since the square is symmetric, the direction of the force will be along the diagonals of the square. The distance between two opposite corners of the square is:
r = √2 * 0.100 m
= 0.1414 m
Using Coulomb's law, the magnitude of the force between two charges is:
F = (k * q1 * q2) / r^2 = (9 × 10^9 N·m^2/C^2) * (6.7244 × 10^-19 C)^2 / (0.1414 m)^2
≈ 1.58 × 10^-15 N
Therefore, the magnitude of the force on each charge is:
F total = 2 * F = 2 * 1.58 × 10^-15 N
≈ 3.16 × 10^-15 N
Note that the direction of the force on each charge is along the diagonal of the square, so it has both x and y components. The x and y components of the force cancel out for two opposite charges, but they add up for adjacent charges.
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a penny is dropped from rest from the top of a very tall building. assuming the height of the building is 449 m and ignoring air resistance, find the speed with which the penny strikes the ground.
If the height of the building is 449 m and ignoring air resistance then, 93.8m/s is the speed with which the penny strikes the ground.
What is air resistance?
A type of friction (a force that resists motion) that happens between air and another object is air resistance, commonly referred to as drag. When a thing travels through the air, it experiences force. The two constant natural forces that affect every item on Earth are air resistance and gravity.
For instance, air particles pressing on an aircraft as it soars through the air make it more difficult for the aircraft to move. A feather's ability to fall is significantly influenced by air resistance.
Steps for calculation:
[tex]v^2=u^2+2gS \\where u=0, 2g=9.8m/s^2 and S=449m[/tex]
[tex]We get,\\ v^2 =2*9.8*449m^2 /s^2\\ v=93.8m/s[/tex]
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1. a charge of -2.50 nc and a charge of -4.00 nc are placed 50.00 mm apart. find the resultant force on a charge of 8.00 nc placed 20.00 mm from the -2.50 nc charge and 30.00 mm from the -2.50 nc charge.
The resultant force on the 8.00 nC charge is -0.010 N.
Using Coulomb's law, the electric force between two point charges is given by,
F = k * (q1 * q2) / r^2
where F is the force, k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between the charges.
The force on the 8.00 nC charge due to the -2.50 nC charge:
F1 = k * ((8.00 nC) * (-2.50 nC)) / (0.020 m)^2
= -0.090 N
Note that the negative sign indicates an attractive force, as the charges have opposite signs.
The force on the 8.00 nC charge due to the -4.00 nC charge,
F2 = k * ((8.00 nC) * (-4.00 nC)) / (0.030 m)^2
= -0.080 N
Add these forces vectorially. Since the forces are acting in opposite directions,
Fnet = F1 - F2
= -0.090 N - (-0.080 N)
= -0.010 N
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how do lithospheric mantle and asthenosphere differ from each other?
The lithosphere, which is the mechanical layer's outermost layer and which exhibits stiff, brittle behaviour, The asthenosphere is a solid portion of the upper mantle that is so heated that it can flow and act plastically. The asthenosphere supports the lithosphere.
Why is it called lithosphere?The crust and the brittle upper mantle make up the lithosphere, the Earth's outermost layer. The Greek terms "lithos," which means stone, and "sphaira," which means globe or ball, are the source of the English word "lithosphere."The crust and uppermost mantle are both parts of the lithosphere, which is the planet's hard, rigid outer layer. The weaker, hotter, and deeper portion of the upper mantle, known as the asthenosphere, lies beneath the lithosphere. A variation in how each lithosphere and asthenosphere responds to stress defines their boundary. The asthenosphere deforms viscously and accommodates strain by plastic deformation, whereas the lithosphere remains hard for very long geologic time periods during which it deforms elastically and through brittle failure.
Thus, it is believed that the lithosphere's thickness corresponds to the distance from the isotherm that marks the change from brittle to viscous behaviour.
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a brick is moving at a speed of 3 m/s and a pebble is moving at a speed of 5 m/s. if both objects have the same kinetic energy, what is the ratio of the brick's mass to the pebble's mass?
By the help of Kinetic energy ,the ratio of the brick's mass to the pebble's mass is [tex]\frac{9}{25}M = m[/tex]
A moving item or particle might have power of a certain sort called kinetic energy. An object gains kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force. Kinetic energy is a characteristic of motion that depends on the mass and speed of an object or particle. Motion includes all combinations of vibration, axis rotation, translation, and movement (along a path from one location to another).
M should represent the brick mass.
Let m represent the pebble's mass.
.[tex]\frac{1}{2} M(v)^2[/tex] =KE
[tex]\frac{1}{2} M(3)^2[/tex]=KE
[tex]\frac{1}{2} m(5)^2[/tex]= KE
[tex]\frac{1}{2} M(3)^2= \frac{1}{2} m(5)^2[/tex]
9M = 25m
[tex]\frac{9}{25}M = m[/tex]
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Consider the circuit in the diagram below.
The switch at the top is moved to the closed or on position, the lightbulb glows brightly for a moment, and then dims gradually until it is fully dark. The switch on the top leg is then moved to the open or off position. The switch on the central leg is then moved to the closed or on position. What would happen to the bulb.
The light bulb would light up and stay constant.
The light bulb would light up and gradually dim.
The light bulb would gradually brighten.
The light bulb would flash on and then immediately shut off.
Answer:
The light bulb would flash on and then immediately shut off.
Explanation:
A nearsighted person has a near point of 12 cm and a far point of 40 cm. What power corrective lens is needed for her to have clear distant vision? With this corrective lens in place, what is her new near point?
A nearsighted person has a near point of 12 cm and a far point of 40 cm With the corrective lens in place, the person's new near point will be 0.23 m or 23 cm.
1) Power of corrective lens for clear distant vision:
Near point = 12 cm
Far point = 40 cm
Lens Power = (1 ÷ 0.40) - (1 ÷ 0.12)
Lens Power = 2.5 - 8.33
Lens Power = -5.83 D
2) New near point with the corrective lens in place:
Lens Power = -5.83 Diopters
Far point = 40 cm
New near point = 1 ÷ (-5.83) + 0.40
New near point = -0.171 + 0.40
New near point = 0.23 m
So, with the corrective lens in place, the person's new near point will be 0.23 m or 23 cm.
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Which do scientists study to determine air temperature at the time it was formed? Select the two correct answers. -Fossilized pollen-air bubbles trapped in ice-tree rings-chemical isotopes in foraminifera shells
Scientists can ascertain the isotope ratio and, consequently, the temperature at the time that layer was formed by examining the water molecules in each layer of ice.
What scientists study to determine air temperature?With the aid of satellite, instrument, historical, and environmental records, scientists examine the Earth's climate and how it changes. Given that satellite and sensor lifespans have been relatively brief compared to Earth's life, using these data can be difficult.
Ice cores can help researchers reconstruct past greenhouse gas concentrations in the atmosphere, in addition to revealing past temperatures.
Therefore, The study of climatic evolution is known as climatology. This branch of science aids with people's comprehension of the atmospheric factors that influence weather patterns and temperature variations throughout time.
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what distinguishes the orbit of pluto from that of the eight major planets of the solar system?
Pluto's orbit is much more eccentric and inclined compared to the orbits of the eight major planets in the solar system. This means that Pluto's orbit is more elliptical and tilted relative to the plane of the solar system, while the orbits of the major planets are generally more circular and on the same plane.
First, Pluto's orbit is much more eccentric (elongated) than the orbits of the other planets. This means that its distance from the Sun varies more dramatically over the course of its orbit. While the other planets have nearly circular orbits, Pluto's orbit is more oval-shaped.
Second, Pluto's orbit is also more inclined (tilted) relative to the plane of the Solar System. The eight major planets all orbit in roughly the same plane, but Pluto's orbit is tilted at an angle of about 17 degrees. This means that it sometimes travels above and below the plane of the Solar System during its orbit.
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the tortoise and the hare are running a 1 km race. after running comfortably for 7 s, the hare is so far ahead that he decides to take a nap under a tree, 100 m away from the finish line. if the tortoise is moving constantly at a speed of 0.27 m/s, and the maximum speed of the hare is 15 m/s, how long can the hare afford to nap if he does not want to lose the race?(a) 6.67 s(b) 370 s(c) 3630 s(d) 3690 s
The correct option is D. 3690s They can hare afford to nap if he does not want to lose the race.
D= 1000m
[tex]V_T[/tex]= 0.27 m/s
[tex]T_t=\frac{1000}{0.27} = 3703.7sec[/tex]
[tex]T_h = \frac{100}{15}[/tex][tex]= 6.7sec[/tex]
[tex]T_t = 7+ t_n +t_h[/tex]
[tex]3703.7 = 7+t_n +6.7\\t_n = 3703.7- 13.7\\t_n = 3690sec[/tex]
The pace is measured as the ratio of distance to the time wherein the distance is turned into a blanket. the pace is a scalar quantity because it has the most effective course and no importance. For the size of the pace in vehicles, speedometers are used. pace also can be calculated with the assistance of a graph. the space-time graph allows know-how of the rate of an object.
In regular use and in kinematics, the rate of an object is the value of the change of its position over the years or the importance of the alternate of its function per unit of time; its miles as a result a scalar amount. the spot pace is the limit of the common pace because the period of the time c program language period approaches 0. pace isn't always similar to velocity.
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3. The timeline below shows the sequence of events leading to the
Constitutional Convention. (H)
March 1781 Sept. 1783 Aug. 1786 Sept.1786 May 1787
Which conclusion can be drawn from the timeline?
A. Americans realized their first national government was not strong enough.
B. Most Americans felt the national government under the Articles of
Confederation was too strong.
C. Shays’ Rebellion had no influence on the decision to strengthen the
national government.
D. The new government was unable to negotiate a peace with Britain.
The conclusion that can be drawn from the timeline is that Americans realized their first national government was not strong enough.
The timeline shows that from March 1781 to September 1783, the United States was fighting for its independence from Great Britain, and it was during this time that the Articles of Confederation were adopted as the first national government. However, by August 1786, there were clear signs that the Articles of Confederation were not strong enough to meet the needs of the new nation. This led to the calling of the Constitutional Convention in May 1787, where the Constitution of the United States was written to establish a stronger national government that could better serve the needs of the new nation.Therefore, option A is the correct conclusion that can be drawn from the timeline.
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What's the difference between a physical change and chemical change? in a quick, short and easy response please!