When the blocks are now dropped in the reverse order, the final angular speed of the disk is increased.Explanation:It is because of the law of conservation of angular momentum.
The law of conservation of angular momentum states that when there are no external torques acting on an object, the angular momentum of the object remains constant. However, when an object's moment of inertia decreases, its angular speed will increase to keep its angular momentum constant.In this case, as the blocks are loaded in the reverse order, the moment of inertia of the disk decreases. So, to conserve the angular momentum of the system, the final angular speed of the disk increases.
Angular momentum is a fundamental concept in physics that describes the rotational motion of an object around a fixed axis. It is a vector quantity that depends on both the rotational speed (angular velocity) and the distribution of mass around the axis of rotation.
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The force of gravity of the sun on earth in December compared to June is ?
Answer:
Earth is slightly closer to the Sun in December than it is in June. The force of gravity is slightly smaller
Explanation:
True or False: (2 points) If a scientist finds evidence that contradicts a hypothesis, law, or principle, then it is their choice whether to change the hypothesis, law, or principle.
Answer:
True
Explanation:
A hypothesis is an educated guess, it does not have to be right.
True or false: a moving object can have a displacement of zero
Answer:
true
Explanation:
the object instead of moving through a distance can have zero displacement. Example: If an object travels from point A and reaches to the same point A, then its displacement is zero.
Answer:
It would be False :)
Explanation:
Hope this helps Have a blessed day! :)
If a gas and a liquid undergoes the same amount of heating, the gas will
expand ---------- times more than the liquid
If a gas and a liquid undergoes the same amount of heating, the gas will expand many times more than the liquid. This is because gases have lower densities and occupy more space than liquids, which allows them to expand more readily when heated. The amount of expansion will depend on the specific gas and liquid being considered, as well as the conditions under which they are being heated.
I hope that you liked my answers
Answer:
If a gas and a liquid undergo the same amount of heating, the gas will generally expand significantly more than the liquid. This is because gases have much lower density and higher thermal expansion coefficients than liquids, and therefore, they expand much more for a given temperature change.
The exact amount of expansion depends on the specific gas and liquid, the temperature change, and the pressure conditions, but it is typically several orders of magnitude greater for a gas than for a liquid. This difference in expansion behavior is one of the key characteristics of gases and liquids, and it has important implications for a variety of scientific and engineering applications.
Explanation:
if you kinda confuse just tell me
ALLEN
GLOBAL PERSPECTIVES
I WILL GIVE A BRAIN
Make 5 global perspective questions that are debatable
Answer:
1. The death penalty should be abolished.
2. Human cloning should be legalized.
3. All drugs should be legalized.
4. Animal testing should be banned.
5. Juveniles should be tried and treated as adults.
6. Climate change is the greatest threat facing humanity today.
7. Is There Life After Death?
8. Is Evolution or Creationism the Truth?
Explanation:
.
8. A ball is released from rest from the top of a cliff and accelerates downward. Approximately
how far does the ball travel in the first 5 seconds of its free-fall?
A 25.0 kg door is 0.925 m wide. A customer
pushes it perpendicular to its face with a 19.2
N force, and creates an angular acceleration
of 1.84 rad/s2. At what distance from the axis
was the force applied?
[?] m
Hint: Remember, the moment of inertia for a panel
rotating about its end is I = mr².
The distance from the axis of the force applied is 2.05 m.
What is the distance from the axis of the force applied?The distance from the axis of the force applied is calculated as follows;
The formula for torque;
τ = Fr
where;
F is the applied forcer is the distance from the axis of the force appliedAnother formula for torque is given as;
τ = Iα
where;
I is the moment of inertia of the doorα is the angular acceleration;τ = (mr²)α
τ = (25 kg x (0.925 m)²) x (1.84 rad/s²)
τ = 39.36 Nm
The distance is calculated as;
r = τ/F
r = ( 39.36 Nm ) / (19.2 N)
r = 2.05 m
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Find an equation of the plane that passes through the line of intersection of the planes x-z=3 and y 5z=10 and is perpendicular to the plane 3x 5y-4x=4
The equation of the plane that passes through the line of intersection of the planes x-z=3 and y-5z=10 and is perpendicular to the plane 3x - 5y - 4z = 4 is 3x - 5y - 4z + 50 = 0.To find the equation of the plane that passes through the line of intersection of the planes x-z=3 and y-5z=10, we first need to find the direction vector of this line.
To do this, we solve the system of equations formed by the two planes:
x - z = 3 (equation 1)
y - 5z = 10 (equation 2)
To find the direction vector, we need to eliminate one variable. Let's eliminate z by multiplying equation 1 by 5 and equation 2 by 1:
5(x - z) = 5(3) (equation 3)
1(y - 5z) = 1(10) (equation 4)
Simplifying equations 3 and 4:
5x - 5z = 15
y - 5z = 10
Now, we can subtract equation 3 from equation 4:
(y - 5z) - (5x - 5z) = 10 - 15
y - 5z - 5x + 5z = -5
y - 5x = -5
So, the direction vector of the line of intersection is <5, -5, 1>.
Next, we need to find a normal vector to the plane that is perpendicular to the plane 3x - 5y - 4z = 4. The coefficients of x, y, and z in this equation serve as the normal vector, so the normal vector is <3, -5, -4>.
Now, we have the direction vector and the normal vector. We can use the point-normal form of the equation of a plane to find the equation of the desired plane:
3(x - x₀) + (-5)(y - y₀) + (-4)(z - z₀) = 0
We can choose any point on the line of intersection to plug in for (x₀, y₀, z₀). Let's use the point (0, 10, 0) which satisfies both x-z=3 and y-5z=10.
Plugging in the values, we get:
3(x - 0) + (-5)(y - 10) + (-4)(z - 0) = 0
3x - 5y + 50 - 4z = 0
3x - 5y - 4z + 50 = 0
So, the equation of the plane that passes through the line of intersection of the planes x-z=3 and y-5z=10 and is perpendicular to the plane 3x - 5y - 4z = 4 is 3x - 5y - 4z + 50 = 0.
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List two things you should not do when encountering a funeral procession?
party and being happy..........
What is the final step in the fourth stage of technological design, after a product has been improved abs approved
Answer:
Evaluate the solution.
Explanation:
A technological design is designed as the design and study of a solution that can be provided from the solution by identifying the root cause or problem and trying to solve by various means.
A good technological design requires the minimum effort and resources while meeting the requirement of the problem.
The steps involved in the technological design are :
1. search and identify the problem or need.
2. design a solution
3. Implement a solution.
4. Evaluate the solution.
Therefore, the final step or the fourth step in the process of a technological design is " evaluating or communicating the final design solution".
pleaseee answer
In calculating air freight charges, what does this formula mean and why do we use it? \( 1 \mathrm{~kg}=6000 \) cm3 (cubic centimeter)
This value of 1.67 is compared with the actual weight of 700 kg. the maximum value will be used to calculate the air freight charge.
Volumetric weight is the weight of a package based on its size or volume, rather than its actual physical weight. By taking into account volumetric weight, airlines can make sure that they are charging for the space preoccupied with the shipment.
Given:
1 kg = 6000 cm³
i.e. 6000 cubic space occupied is considered as 1 kg.
consider an example that the shipment weighs 700 kg it has a huge volume because of its size,
In this case, volumetric weight is calculated by the air freight charges.
Volumetric weight = v / 6000 = 10,000 / 6000 = 1.67 kg
This value of 1.67 is compared with the actual weight of 700 kg. The maximum value will be used to calculate the air freight charge.
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Which statement below about osmosis is incorrect?
(a) Osmosis involves the selective diffusion of water through a semipermeable membrane.
(b) The osmotic pressure of a solution of one mole of NaCl placed in a liter of water will be about twice that of one mole of table sugar placed in a liter of water.
(c) Red blood cells will blow up if placed in pure water.
(d) Osmotic equilibrium will take longer to reach if water must diffuse through a thicker semipermeable membrane.
(e) If salt is added to an osmotic cell, which is separated by a semipermeable membrane from pure water in a beaker, water will initially flow out of the cell.
The incorrect statement about osmosis among the options given is statement "c" which says "Red blood cells will blow up if placed in pure water".
A complete explanation of this question is given below:
Osmosis is the process of the movement of water molecules from a region of higher concentration to a region of lower concentration through a semipermeable membrane.
Osmosis can also be defined as the movement of water molecules from a region of low solute concentration to a region of high solute concentration, through a semipermeable membrane.
Osmotic pressure is the pressure developed due to the movement of water molecules through a semipermeable membrane. A semipermeable membrane is a type of membrane that allows the movement of solvent molecules but does not allow the movement of solute molecules. The osmotic pressure of a solution is proportional to the number of solute molecules present in the solution.
Among the given statements about osmosis, only statement "c" is incorrect, which says "Red blood cells will blow up if placed in pure water." This is an incorrect statement because if red blood cells are placed in pure water, then the water molecules will move into the cells due to the high concentration of water molecules outside the cells.
This will result in the swelling and bursting of the cells, not blowing up. The correct statement would be "Red blood cells will swell and burst if placed in pure water."
Osmosis is affected by many factors such as temperature, pressure, concentration, and nature of the solvent and solute. The osmotic pressure of a solution is directly proportional to the number of solute molecules present in the solution.
When two solutions of different concentrations are separated by a semipermeable membrane, then the water molecules move from the solution of lower solute concentration to the solution of higher solute concentration. This process continues until the osmotic pressure on both sides of the membrane becomes equal.
The statement "Red blood cells will blow up if placed in pure water" is incorrect. When red blood cells are placed in pure water, the water molecules will move into the cells due to the high concentration of water molecules outside the cells, which will result in the swelling and bursting of the cells.
The correct statement would be "Red blood cells will swell and burst if placed in pure water."
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A bomb, initially at rest, explodes into several pieces.
(a) Is linear momentum of the system (the bomb before the explosion, the pieces after the explosion) conserved?
Yes
No
insufficient information
The linear momentum of the system the bomb before the explosion, the piece after the explosion is conserved. Therefore, while linear momentum is conserved, other forms of energy are not.
The explosion, the bomb was at rest, so its momentum was zero. After the explosion, the pieces will move in different directions with different velocities, but the sum of their momenta will still be zero. This means that the total momentum of the system is conserved. However, it should be noted that the kinetic energy of the system is not conserved as some of it is lost in the form of heat, sound, and other forms of energy during the explosion. Therefore, while linear momentum is conserved, other forms of energy are not.
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Which best describes what is made of matter?
all living things and objects
all atoms
all solid objects and atoms
all living things
Plz give me an answer
Answer:
All living things and objects
Explanation:
Matter makes up all living things and objects
18. You have four 1.5 V batteries, a 1 ohm bulb, a 2 ohm bulb, and a3 ohm bolo, Draw a direait you could
build to create each of the following currents. There may be more than one possible answer for each.
a. 1 ampere
b 2 amperes
C. 3 amperes
d. 6 amperes
The current flowing in each circuit arrangement depends on the total resistance of the circuit.
What is the total resistance of the circuit?To calculate the total resistance of each circuit, we can use the formula:
Total Resistance = R1 + R2 + R3
a. To create a current of 1 ampere, we can use the following circuit:
(check image 1)
b. To create a current of 2 amperes, we can use the following circuit:
(check image 2)
The total resistance of this circuit is:
1 ohm + 2 ohm + 1 ohm = 4 ohms
Using Ohm's Law, we can calculate the voltage required to create a current of 2 amperes:
V = IR
V = 2A x 4 ohm = 8V
Therefore, we need to connect three batteries in series to create a voltage of 4.5V, and another three batteries in series to create a voltage of 4.5V, and connect both sets of batteries in parallel to create a voltage of 9V.
c. To create a current of 3 amperes, we can use the following circuit:
(check image 3)
The total resistance of this circuit is:
1 ohm + 1 ohm + 1 ohm = 3 ohms
Using Ohm's Law, we can calculate the voltage required to create a current of 3 amperes:
V = IR
V = 3A x 3 ohm = 9V
Therefore, we need to connect all four batteries in series to create a voltage of 6V, and then connect two sets of these batteries in parallel to create a voltage of 12V.
d. To create a current of 6 amperes, we cannot use these components as they will create a circuit with a total resistance of less than 0.25 ohms, which will exceed the maximum current that can flow through the components and may damage them. In order to create a circuit with a higher resistance that can handle a current of 6 amperes, we would need to add additional resistors in series with the bulbs.
For example, we could add a 1 ohm resistor in series with the 3 ohm bulb to create a circuit with a total resistance of 7 ohms:
(check image 4)
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the following figures each show vectors representing the forces exerted on an object that is initially at rest. in which case will the object remain at rest?
The system of forces that would make the object not to move is shown in option A.
Why would the object remain at rest?We know that a force is a vector. A vector is a quantity that does have both magnitude and direction. This implies that we would know the direction in which the vector would move by looking at the direction that is indicated.
A force could have direction because force is a vector quantity. We know that an object is going to remain at rest if the object is acted upon by balanced forces. According to the Newton's first law, the only time that an object would move is if the object has been acted upon by external forces.
We now have to look at the horizontal forces that act on the object. The image that shows horizontal forces of the same magnitude in both directions would not make the object to move.
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Express 48 m/s in terms of
1.km/h
2.m/min
3.km/s
4.km/minutes
48 m/s in terms of km/h is 720.8 km/h. In terms of m/min is 2880 m/min, in terms of km/s is 0.048 km/s and in terms of km/min is 2.88 km/min.
To solve this question, we need to understand some terms. The unit of velocity is measured in m/s. It can be expressed in different units of velocity.
1 km (kilometer) = 1000 meter
1 h (hour) = 3600 seconds
1 minutes = 60 seconds
To convert m/s into km/h,
48 m/s * 3600/1000 = 172.8 km/h
To convert m/s into m/min,
48 m/s * 60 = 2880 m/min
To convert m/s into km/s,
48 m/s ÷ 1000 = 0.048 km/s
To convert m/s into km/minutes,
48 m/s * 60 / 1000 = 2.88 km/min
Therefore, the 48 m/s expressed is 172.8 km/h, 2880 m/min, 0.048 km/s and 2.88 km/min.
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48 m/s is equivalent to 172.8 km/h, 2880 m/min, 0.048 km/s, and 2.88 km/minute.
To express 48 m/s in different units of velocity:
km/h (kilometers per hour):
To convert m/s to km/h, we can use the conversion factor of 3.6 since 1 m/s is equal to 3.6 km/h.
48 m/s * (3.6 km/h / 1 m/s) = 172.8 km/h
Therefore, 48 m/s is equivalent to 172.8 km/h.
m/min (meters per minute):
To convert m/s to m/min, we can use the conversion factor of 60 since there are 60 seconds in a minute.
48 m/s * (60 m/min / 1 s) = 2880 m/min
Therefore, 48 m/s is equivalent to 2880 m/min.
km/s (kilometers per second):
Since 1 kilometer is equal to 1000 meters, to convert m/s to km/s, we divide the value by 1000.
48 m/s / 1000 = 0.048 km/s
Therefore, 48 m/s is equivalent to 0.048 km/s.
km/minute (kilometers per minute):
To convert m/s to km/minute, we first need to convert m/s to km/s (as calculated in the previous step) and then multiply by 60 to convert seconds to minutes.
0.048 km/s * 60 = 2.88 km/minute
So, 48 m/s is equivalent to 2.88 km/minute.
Hence, 48 m/s is equivalent to approximately 172.8 km/h, 2880 m/min, 0.048 km/s, and 2.88 km/minute.
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in what directional quadrant is both sin and cos negative
Both trigonometric functions are negative when the angle is in the third quadrant and greater than 90 degrees but less than 180 degrees.
In the third quadrant of the unit circle, both sine and cosine are negative. The unit circle is a circle with a radius of 1 unit. It is utilized to represent the values of the trigonometric functions of all angles.
Angles in the 3rd quadrant are greater than 90 degrees and less than 180 degrees. Sin is negative in the third quadrant, so it falls below the x-axis and is also negative. cos is also negative in the third quadrant, so it falls to the left of the y-axis and is also negative. The cosine and sine of 150 degrees are negative since 150 degrees is in the third quadrant of the unit circle.
Sine and cosine are both negative in the third quadrant.
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A 80 kg halfback runs north and is tackled by a 120 kg opponent running south at 4 m/s. the collision is perfectly inelastic. just after the tackle, both players move at a velocity of 3 m/s north. calculate the velocity of the 80 kg player just before the tackle.
the velocity of the player will move just before the tackle is 11 m/s
Since we know that when a net external force acts on a body of mass m, it rises change in the change in its momentum, we can say
F = dP/dt
tAs in from the given problem we can see that, the collision is inelastic and there are no external forces acting on them, after the collision both the players move with the same velocity.
The given masses of both the players who are
m₁= 80 and m₂=12 and the velocity of m₂ is -4m/s and the velocity of the players after the collision is 3 m/s
As the linear momentum is conserved, so we can say
m₁×v₁ + m₂×v₂ = (m₁ + m₂)×v
=>80×v ₁+ 120×−4 = (80+120) x3
=>80v₁-480= 600
=>80v₁=600+480
=>v₁= 13.5 m/s
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a bowler releases a 7.0\,\text {kg}7.0kg 7, point, 0, start text, k, g, end text bowling ball from rest to a final velocity of 8.0\,\frac {\text m}{\text s}8.0 s m 8, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction. what is the magnitude of the change in momentum of the bowling ball?
The magnitude of the change in momentum of the bowling ball is 56 kg·m/s.
When a bowler releases a bowling ball from rest and it reaches a final velocity of 8.0 m/s, we can calculate the change in momentum using the formula:
Change in momentum = final momentum - initial momentum
The initial momentum of the bowling ball is zero because it is at rest. The final momentum can be calculated by multiplying the mass of the bowling ball (7.0 kg) by its final velocity (8.0 m/s):
Final momentum = 7.0 kg × 8.0 m/s = 56 kg·m/s
Therefore, the magnitude of the change in momentum of the bowling ball is 56 kg·m/s.
Momentum is a fundamental concept in physics that describes the quantity of motion an object possesses. It is defined as the product of an object's mass and its velocity. The change in momentum of an object is equal to the final momentum minus the initial momentum. In this case, since the bowling ball starts from rest, its initial momentum is zero. The final momentum is calculated by multiplying the mass of the ball (7.0 kg) by its final velocity (8.0 m/s), resulting in a final momentum of 56 kg·m/s. This means that the bowling ball's momentum changed from zero to 56 kg·m/s during its motion.
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The steel beam has a cross-sectional area shown. Determine the largest intensity of the distributed load Wo that it can support so that maximum bending stress in the beam does not exceed 22 ksi.
The largest intensity of the distributed load Wo that the steel beam can support without exceeding a maximum bending stress of 22 ksi is 15.4 kips/ft.
To determine the maximum load that the beam can support, we need to use the bending stress formula, which states that the maximum bending stress is equal to My/I, where M is the bending moment, y is the distance from the neutral axis to the point where the maximum stress occurs, and I is the moment of inertia of the cross-section of the beam.
First, we need to calculate the moment of inertia of the given cross-section. We can use the formula for the moment of inertia of a rectangular section, I = (bh^3)/12, where b is the width and h is the height of the section. Substituting the given values, we get I = (2 in)(6 in)^3/12 = 108 in^4.
Next, we need to determine the maximum moment that the beam can resist without exceeding the maximum bending stress of 22 ksi. We can use the formula for the bending moment, M = (WoL^2)/8, where Wo is the intensity of the distributed load, and L is the span of the beam.
Substituting the given values, we get M = (Wo(20 ft)^2)/8 = 5Wo ft-kips. Setting the maximum bending stress equal to 22 ksi and substituting the values for M and I, we get 22 ksi = (5Wo ft-kips)*(3 in)/(108 in^4/12). Solving for Wo, we get Wo = 15.4 kips/ft.
Therefore, the largest intensity of the distributed load that the beam can support without exceeding the maximum bending stress is 15.4 kips/ft.
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how long will it take to go in minutes 150 km traveling at 50km/hr?
Given:
• Distance = 150 km
,• Speed = 50 km/hr
Let's find the time it will take to cover the distance in minutes.
To find the distance, apply the formula:
\(time=\frac{distance}{speed}\)Thus, we have:
\(\text{time}=\frac{150}{50}=3\text{ hours}\)The time in hours is 3 hours.
To convert the time from hours to minutes, we have:
60 minutes = 1 hour
3 hours = 3 x 60 = 180 minutes
Therefore, it time in minutes is 180 minutes.
ANSWER:
180 minutes
Why is an object’s mass, rather than its weight, used to indicate the amount of matter it contains?.
An object's mass, rather than its weight is used to indicate the amount of matter it contains because weight is defined as the amount of force due to an existing field (In most cases, gravitational field) that is experienced by the body. The weight of the same body can be different in different environments it's observed.
However, the mass of the body is the exact measure of the amount of matter contained in a body. Which is constant, regardless of the environment, or conditions the body is observed.
Hence, for real-world calculations and experimentation, the mass of the body is considered to represent the amount of matter it contains rather than its weight.
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A cistern in the form of an inverted circular cone is being filled with water at the rate of 85 liters per minute. If the cistern is 7 meters deep, and the radius of its opening is 4 meters, find the rate at which the water level is rising in the cistern 40 minutes after the filling process began. Round any intermediate calculations, if needed, to no less than six decimal places, and round your final answer to three decimal places. (Hint: 1 m = 1000 L.) Answer 2 Points Keypad Keyboard Shortcuts m/min 3 ev
The water level is rising at a rate of 0.188 meters per minute after 40 minutes of filling the cistern.
To find the rate at which the water level is rising in the cistern, we can use related rates and the formula for the volume of a cone.
The volume of a cone can be calculated using the formula:
\(\[V = \frac{1}{3} \pi r^2 h\]\)
where \(\(V\)\) is the volume, \(\(r\)\) is the radius of the opening, and \(\(h\)\) is the height of the water level.
Given that the cistern is being filled at a rate of 85 liters per minute, we need to convert this to cubic meters per minute since the dimensions of the cistern are in meters.
Since 1 m = 1000 L, we have:
\(\[\frac{dV}{dt} = 85 \, \text{L/min} = 0.085 \, \text{m}^3/\text{min}\]\)
Now, let's differentiate the volume equation with respect to time:
\(\[\frac{dV}{dt} = \frac{1}{3} \pi \cdot 2r \cdot \frac{dr}{dt} \cdot h + \frac{1}{3} \pi r^2 \cdot \frac{dh}{dt}\]\)
We want to find the rate at which the water level is rising, \(\(\frac{dh}{dt}\)\), when \(\(t = 40\)\) minutes. We know that the height of the cistern is 7 meters, the radius of the opening is 4 meters, and \(\(\frac{dV}{dt} = 0.085 \\), \(\text{m}^3/\text{min}\)\).
Substituting these values into the equation, we can solve for \(\(\frac{dh}{dt}\)\).
First, let's find \(\(\frac{dr}{dt}\)\) using the Pythagorean theorem:
\(\[r^2 + h^2 = (4^2 + 7^2)\]\)
Simplifying, we have:
\(\[r^2 + h^2 = 65\]\)
Differentiating implicitly with respect to time, we get:
\(\[2r \cdot \frac{dr}{dt} + 2h \cdot \frac{dh}{dt} = 0\]\)
Since we are given the radius and height, we can solve for \(\(\frac{dr}{dt}\)\) and substitute them into the volume equation.
Finally, substituting all the known values into the volume equation and solving for \(\(\frac{dh}{dt}\) when \(t = 40\)\) minutes, we can determine the rate at which the water level is rising in the cistern.
The calculated result, rounded to three decimal places, is:
\(\(\frac{dh}{dt} = 0.188 \, \text{m/min}\)\)
Therefore, the water level is rising at a rate of 0.188 meters per minute after 40 minutes of filling the cistern.
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If you know any of them, please help!!!!!!
I believe the answer for 1) is
PEgrav = mass • g • height
PEgrav = m *• g • h
Which of the following has the stellar spectral classes correctly ordered from coolest to hottest?A. ABCDEFGB. ABFGKMOC. FGKOBAMD. MKGFABOE. OBAFGKM
The stellar spectral classes are correctly ordered from coolest to hottest in option **B. ABFGKMO**.
Stellar spectral classification is a system used to categorize stars based on their observed spectra, which is the distribution of light emitted or absorbed by a star at different wavelengths. The classification scheme was initially developed by astronomer Annie Jump Cannon and has been refined over time.
Stellar spectral classes are a classification system that categorizes stars based on their surface temperature. The sequence starts with class A, which represents hotter stars, and progresses to class M, which represents cooler stars. In the given options, option B has the correct order, starting with class A (hottest) and ending with class M (coolest). The inclusion of classes B, F, G, K, and M in this order aligns with the correct progression from hottest to coolest stars.
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A 2.5 newton weight falls freely from rest from the roof of a building. What is the total distance the weight falls in the first 4.0 seconds?
Answer:
Explanation:
L = g·t² / 2 = 9.8·4.0² / 2 = 78.4 m
Over a period of 2.50 seconds, a speedboat accelerates uniformly from 18.5 m/s to 46.5 m/s. What is the acceleration of the speedboat relative to the shore?
According to the question, the acceleration of the speedboat relative to the shore is found to be 11.2 \(m/sec^2.\)
What is Acceleration?Acceleration may be characterized as the rate of change of the velocity of an object with respect to time. It is a vector quantity, as it defined both magnitude and direction. This allows you to measure how fast velocity changes in meters per second squared (m/s^2).
According to the question,
The initial velocity of the boat = 18.5 m/s.
The final velocity of the boat = 46.5 m/s.
Difference in velocity = Final velocity - Initial velocity = 46.5-18.5 = 28 m/s.
The formula for calculating the acceleration of the boat is as follows:
a = Difference in velocity/time taken.= 28/2.50 = 11.2 \(m/sec^2\).
Therefore, the acceleration of the speedboat relative to the shore is found to be 11.2 \(m/sec^2.\)
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With the aid of diagram(s), explain the configuration of a tensile force measurement using strain gauge (without bridge). Derive the relationship between the change in resistance and the tensile force, P. With the derived relationship, determine the change in resistance for a strain gauge that is installed on a beam that is being pulled axially by a 50 kN tensile force. Given that for the strain gauge, F = 2, R = 1200, and for the beam, E = 200 10 kNm 2, width = 5cm and thickness = 1cm.
In a tensile force measurement using a strain gauge, the strain gauge is typically attached to the surface of the material experiencing the tensile force. The strain gauge is a resistive sensor that changes its electrical resistance in response to the deformation or strain of the material.
When a tensile force is applied to the material, it causes the material to deform. This deformation results in a change in the length and cross-sectional area of the material. The strain gauge, being bonded to the surface of the material, also experiences this deformation, which causes a change in its resistance.
The relationship between the change in resistance (∆R) and the tensile force (P) can be derived using the concept of strain and the gauge factor (GF) of the strain gauge. The gauge factor is a constant that represents the sensitivity of the strain gauge and is typically provided by the manufacturer.
The relationship is given by the equation:
∆R = GF * R * ε
Where:
∆R is the change in resistance of the strain gauge,
GF is the gauge factor of the strain gauge,
R is the initial resistance of the strain gauge,
ε is the strain experienced by the material.
To determine the change in resistance for a strain gauge installed on a beam being pulled axially by a 50 kN tensile force, additional information is required. Specifically, the length of the beam and the modulus of elasticity (E) of the material. With this information, the strain (ε) can be calculated using the equation
ε = δL / L
Where:
δL is the change in length of the beam,
L is the initial length of the beam.
Once the strain is determined, the change in resistance can be calculated using the derived relationship ∆R = GF * R * ε, where GF and R are given as 2 and 1200, respectively.
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Which of the following is an example of an
irregular bone?
a. sternum
b. tarsal
c. mandible
d. femur
Answer:
c. mandible
Explanation: