The angular momentum vector of the 600 g rotating bar in Figure 1 is given by the equation L = Iω, where L is the angular momentum vector, I is the moment of inertia, and ω is the angular velocity.
To provide an explanation, the angular momentum vector describes the rotational motion of an object and is calculated by multiplying the moment of inertia by the angular velocity. In this case, the moment of inertia of the rotating bar depends on its shape and mass distribution.
To calculate the angular momentum vector of the rotating bar in Figure 1, you would need to know its moment of inertia and angular velocity. Once you have these values, you can use the equation L = Iω to determine the angular momentum vector.
In summary, the angular momentum vector of the 600 g rotating bar in Figure 1 can be determined by calculating its moment of inertia and angular velocity and using the equation L = Iω.
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3. You shoot an arrow horizontally from 1.40 m off the ground. If it lands 35.0 m away,
a. What was it's final veritcal velocity
b.
How fast did it leave your bow horizontally?
before hitting the ground?
I
Answer:
The final velocity is 5.24 m/s
The initial speed is 65.5 m/s
Explanation:
Horizontal Motion
When an object is launched horizontally with an initial speed v from a height h, it describes a curved path ruled exclusively by gravity until it eventually hits the ground.
The horizontal component of the velocity is always constant because no acceleration acts in that direction, thus:
\(v_x=v_o\)
The vertical component of the velocity changes in time t because gravity makes the object fall at increasing speed given by:
\(v_y=g.t\)
The maximum horizontal distance traveled by the object can be calculated as follows:
\(\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}\)
Another useful formula allows us to calculate the distance traveled by the object in terms of time t:
\(\displaystyle y=\frac{g.t^2}{2}\)
a.
The time taken for the arrow to reach the ground can be calculated by solving the above equation for t:
\(\displaystyle t=\sqrt{\frac{2y}{g}}\)
Since y=1.40 m:
\(\displaystyle t=\sqrt{0.2857}\)
t = 0.53 s
The final vertical speed is:
\(v_y=9.8.(0.53)=5.24\ m/s\)
The final velocity is 5.24 m/s
b)
The initial speed can be calculated by solving the following equation for v:
\(\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}\)
\(\displaystyle v=d\cdot\sqrt{\frac {g}{2h}}\)
\(\displaystyle v=35\cdot\sqrt{\frac {9.8}{2(1.40)}}\)
v = 65.5 m/s
The initial speed is 65.5 m/s
Lora (of mass 54 kg) is an expert skier. She
starts at 2.6 m/s at the top of the lynx run,
which is 51 m above the bottom.
What is her final kinetic energy at the bottom of the ski run?
The mechanical energy at top =Mechanical energy at bottom
Mass=m=54kgHeight=h=51mAcceleration due to gravity=g=10m/s^2Velocity=v=2.6m/s\(\\ \tt\longmapsto M_{initial}=M_{Final}\)
Final energy at bottom=The kinetic energy\(\\ \tt\longmapsto KE=M_{initial}\)
\(\\ \tt\longmapsto KE=P.E_{(Top)}+K.E_{(Top)}\)
\(\\ \tt\longmapsto K.E=mgh+\dfrac{1}{2}mv^2\)
\(\\ \tt\longmapsto K.E=m\left(gh+\dfrac{v^2}{2}\right)\)
\(\\ \tt\longmapsto K.E=54\left((10)(51)+\dfrac{2.6^2}{2}\right)\)
\(\\ \tt\longmapsto K.E=54\left(510+\dfrac{6.76}{2}\right)\)
\(\\ \tt\longmapsto K .E=54(510+3.38)\)
\(\\ \tt\longmapsto K.E=54(513.38)\)
\(\\ \tt\longmapsto K.E=27722.52J\)
\(\\ \tt\longmapsto K.E=27.7KJ\)
What is the magnitude of the electrostatic force that a charge of +3.0 × 10-5 coulomb exerts on a charge of +6.0 × 10-6 coulomb that is 0.30 meter away? 5.4 × 10-2 N 1.8 × 10-3 N 1.8 × 101 N 5.4 × 100 N
The magnitude of the electrostatic force is \(1.8 * 10^-^1\) N, which is equivalent to 0.18 N.
Option C is correct.
How do we calculate?The electrostatic force is described as an attractive as well as repulsive force caused by the electric charge particles.
Electrostatic force F_= k * |q1 * q2| / r²
F_ = electrostatic force
k = electrostatic constant
q1 = \(+3.0 * 10^-^5 C,\)
and q2 = \(+6.0 * 10^-^6 C\) (magnitudes of the charges)
r = distance between the charges = 0.30 m
F_ = (\(9 * 10^9\)) * |(\(+3.0 * 10^-^5 C\)) * (\(+6.0 * 10^-^6 C\))| / (0.30 m)²
F_ =\(1.8 * 10^-^1 N\)
In conclusion, the magnitude of the electrostatic force is \(1.8 * 10^-^1\) N.
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Given equal amounts of methanol, propanol, butanol and ethanol, please select the correct order at which they will distill during macroscale distillation.Group of answer choicesbutanol, propanol, ethanol, methanolmethanol, butanol, ethanol, propanolmethanol, ethanol, propanol, butanolethanol, methanol, propanol, butanol
The correct order is ethanol, methanol, propanol, butanol.
Why do they follow this order?This is because the boiling points of these alcohols increase in the order listed, with ethanol having the lowest boiling point and butanol having the highest.
During distillation, the mixture of alcohols is heated until the first component, in this case ethanol, reaches its boiling point and evaporates.
The vapor is then condensed back into a liquid and collected, and the process continues until all of the components have been separated based on their boiling points.
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Joe takes his dog to the local dog park every morning, too. He walks with his dog 5 blocks south, 5 blocks west, and 5 blocks north in order to get to the park. What is his total displacement?
The total displacement of Joe from the starting point is 5 blocks to the west.
What is the total displacement of Joe?Displacement of a body or a person is the total distance travelled by the person in a specified direction.
Displacement is a vector quantity. Thus, in order to determine the displacement of a body, the total distances travelled are summed by vector addition.
The displacement of Joe is obtained by vector addition as follows:
Assuming the starting point is X
Distance travelled to the South = 5 blocks
Distance travelled to the West = 5 blocks
Distance travelled to the North = 5 blocks
The displacement from the starting point is 5 blocks to the west.
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Brandy has built a computer model of a weather system. She has included information about bodies of water, the sun, and the atmosphere. In her model, brandy doubles the size of an inland sea. How will this likely affect temperatures in areas along the sea's coast?.
Increasing the size of a sea in a computer model of a weather system is likely to affect temperatures along the coast of that sea. In general, larger bodies of water can have a moderating effect on temperatures, leading to more stable and milder temperatures compared to areas further away from the water. This happens because water has a higher specific heat capacity than land, which means it takes longer to heat up and cool down. As a result, coastal areas near a large sea may experience less extreme temperature fluctuations and a more moderate overall climate compared to areas further inland.
A common urban legend propped up in the 1930’s with the opening of the Empire State Building. The legend says that if you throw a penny off the top of the building, it will fall all the way to the ground gaining speed all the way.
1) Calculate the time of flight of the penny (neglect air resistance). Show all work.
2) Calculate the final speed of the penny. Show all work.
3) Convert the final speed of the penny to miles per hour.
When a body is thrown downwards, it falls freely under gravity.
Acceleration under gravityThe question is incomplete as the values are missing but I will try to help you the much I can. We must note that the acceleration of a body refers to the rate at which its velocity changes per unit time.
When an object is thrown down from a height. It gains speed due to acceleration due to gravity which acts on the body as it falls freely.
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how do you state a hypothesis?
Research and draw a diagram showing a food chain with at least four levels of organisms, starting with plants or algae (producers). Show how each organism in your diagram gets energy, and use arrows and labels to indicate the relationship between each of the organisms. Research the average daily calories each organism on your food chain must consume in order to maintain proper body function. While this diagram is called a food chain, it should actually be called a food cycle because you’ll be including a decomposer to tie together the animal at the top of the food chain back to the producers. Along with the diagram, write a three-paragraph explanation of why energy transfer is not 100% efficient in a food chain. Explain where the lost energy goes, and include a paragraph at the end that explains the role of decomposers such as fungi and bacteria. How do they increase entropy to the maximum? Finally, explain how producers (the plants and algae) decrease entropy as the cycle starts over again. In your explanation, include definitions of the second law of thermodynamics and entropy.
Energy is transferred along the food chain from the producers to the decomposers.
What is the food chain?The term food chain has to do with the process by which energy is passed from one organism to another along the in the ecosystem. Let us recall that the ecosystem is a unit that is composed of living and non living parts and is able to sustain itself.
According to the principle of second law of thermodynamics, energy transfers is not 100% efficient. Thus as energy is transferred along the food chain, only 10% of the energy that was acquired from the pervious trophic level is passed on to the succeeding trophic level.
This is because of the fact that the remainder of the energy is utilized in the metabolic activities of organisms. We can rightly call the food chain a food cycle because as we can see from the image, energy is obtained from the sun and passed along the food chain and returned to the producers by the activities of the decomposers.
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The potential difference across a variable resistor is 11V and the current flowing through it is 0.4A. What is the present resistance of this variable resistor? Give your answer to 1 decimal place.
Answer:
27.5Ω
Explanation:
Given parameters:
Potential difference in the circuit = 11V
Current in the circuit = 0.4A
Unknown:
Resistance in the circuit = ?
Solution:
According to ohm's law;
V = IR
V is the voltage
I is the current
R is the resistance
Since the unknown is R, we find it;
11 = 0.4 x R
R = \(\frac{11}{0.4}\) = 27.5Ω
The resistance of the variable resistor will be 27.5 ohms
According to Ohm's law which states that the current flowing through a metallic conductor is directly proportional to the potential difference across its ends.
Mathematically, V = IR
V is the potential difference
I is the current
R is the resistance
Given the following parameters
V = 11V
I = 0.4A
Get the resistance of the variable resistor
R = V/I
R = 11/0.4
R = 27.5 ohms
Hence the resistance of the variable resistor will be 27.5 ohms
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To cut down on injuries, a highway guardrail is designed to be moved a maximum of 0.05 meters when struck by a car. What is the value of the force constant of the material in the guardrail if it is to withstand the impact of a 1250-kg car traveling at 4.16 m/s ?
Answer:
216.32kN
Explanation:
Force can be expressed according to the formula;
Force = mass ×acceleration
Given
Mass = 1250kg
Velocity = 4.16m/s
Distance = 0.05m
We can get the acceleration first using the equation of motion
v² = u²+2as
4.16² = 0²+2a(0.05)
17.3056 = 0.1a
a = 17.3056/0.1
a = 173.056m/s²
Get the force required
Force = 1250×173.056
Force = 216,320N
Force = 216.32kN
Hence the force constant of the material is 216.32kN
Every action force is accompanied by an equal and opposite reaction force is one way to state Newton's Third Law
True
False
If your computer uses 2.5 A at 120 V, how much does it cost to run for 1.2 h.
Write the data down:
i = 2.5 A
V = 120 V
t = 1.2 h
First we must calculate electric power of the computer:
P = i x V
P = 2.5 x 120
P = 300 W
Now transform the time in minutes and then in seconds:
1.2 h = 60 min x 1.2 h = 72 minutes
72 minutes x 60 s = 4,320 s
So the energy cost will be:
E = P x t
E = 300 x (4,320)
E = 1,296,000 J
or if we write using scientific notation we get:
\(E=1.296\times10^6J\)A rookie quarter back throws a football with an initial upward velocity component of 12.0 m/s and a horizontal velocity component of 20.0 m/s. Ignore resistance. How much time is required for the football to reach the highest point of the trajectory
Answer:
t = 1.22 s
Explanation:
Given that,
The initial upward velocity component of a football = 12 m/s
The horizontal velocity component is 20 m/s
We need to find the time required for the football to reach the highest point of the trajectory. Let the time is t.
Using first equation of motion to solve it such that,
\(v=u+at\)
u is initial velocity
v is final velocity
a = -g
so,
\(t=\dfrac{u}{g}\\\\t=\dfrac{12}{9.8}\\\\t=1.22\ s\)
So, the required time taken by the football to reach the highest point is 1.22 seconds.
another name for the geometric optics theory of light is
Another name for the geometric optics theory of light is ray optics.
The geometric optics theory of light, also known as ray optics, is a simplified model of how light behaves. According to this theory, light travels in straight lines, or rays, and interacts with surfaces through reflection, refraction, absorption, and transmission. This theory is based on the assumption that the wavelength of light is much smaller than the size of the objects and structures it interacts with. Therefore, the wave nature of light is not considered in this theory.
Geometric optics is used in many practical applications, such as in the design of lenses, mirrors, and other optical systems. It provides a useful tool for predicting the behavior of light in simple optical systems, such as those used in cameras and telescopes. However, it has limitations and cannot explain some phenomena, such as interference and diffraction, which require the wave nature of light to be taken into account. For these situations, a different theory called wave optics or physical optics is used.
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Psychological disorders carry a stigma for some people. This means that: A.they have irrational shame because of it. B.they believe they have done everything right. C.they believe they are possessed. D.they don't know how to get medication for it.
Answer: A. they have irrational shame because of it
Explanation:
I would assume its A. or B.
Answer:
B
Explanation:
remember that you are looking for the value of the graph
to take into account or value a lot: prize, estimate to value your opinion. 2nd: estimate or assign the monetary value of: appraise a necklace. b: qualify or scale in utility, importance or general value: evaluate. value.
Find the dimensions [v][v] of volume. express your answer as powers of length (lll), mass (mmm), and time (ttt).
I can help you with that. To find the dimensions of volume, we need to express the answer in terms of length (l), mass (m), and time (t). The dimensions of volume can be expressed as [l^3], where the exponent 3 represents the power of length.
Volume is a measure of the amount of space occupied by an object. It is derived from multiplying three lengths together. Since each length has dimensions [l], when we multiply them, we get [l^3]. This means that volume is measured in cubic units, such as cubic meters (m^3) or cubic centimeters (cm^3).
To summarize, the dimensions of volume are expressed as [l^3], where the exponent 3 represents the power of length. Volume is a measure of the amount of space occupied by an object. It is derived from multiplying three lengths together. Since each length has dimensions [l], when we multiply them, we get [l^3]. This means that volume is measured in cubic units, such as cubic meters (m^3) or cubic centimeters (cm^3).
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what does 2+2 divided by 2 to the power of the 4
Answer:
2+2 divided by 2 to the power of the 4 = 81
Explanation:
good luck
How do forces help shape the earth? (please help quickly)
Answer:
Explanation: The Earth's surface is constantly changing through forces in nature. The daily processes of precipitation, wind and land movement result in changes to landforms over a long period of time. Driving forces include erosion, volcanoes and earthquakes. People also contribute to changes in the appearance of land.
The radius of the sun is 695,700 km and the mass of the sun is 2x1030 kg. What would the force of gravity be on a 60 kg person "standing" on the surface of the sun? What is the acceleration of gravity at the surface of the sun?
a) The gravitational force is 1.7 * 10^4 N.
b) The acceleration due to gravity is 277 m/s^2.
What is the gravitational force?We know that the gravitational force is the force of attraction that acts in the universe between any two masses that are close to each other. We can see that we have the following information;
Mass of the sun = 2 x 10^30 kg
Mass of the person = 60 kg
Radius of the sun = 695,700 km or 695,700000 m
Force of gravity = Gm1m2/r^2
G = gravitational constant
m1 = mass of the sun
m2 = mass of the person
r = radius of the sun
Hence;
F = 6.67 x 10^-11 * 2 x 10^30 * 60/( 695,700000)^2
F = 8 * 10^21 /4.8 * 10^17
F = 1.7 * 10^4 N
The acceleration due to gravity is gotten from;
g = Gm/r^2
g = 6.67 x 10^-11 * 2 x 10^30/( 695,700000)^2
g = 1.33 * 10^20/4.8 * 10^17
g = 277 m/s^2
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Please do these please do all of them and no fake stuff
Answer:
1. d
2. g
3. b
4. h
5. i
6. e
7. c
8. a
9. j
10. f
Circuits can be closed or open; if closed, by a switch perhaps, electricity can flow, and if open it cannot. When components are wired in series, they are one after the other, which is often inefficient. When components are wired in parallel, there are two separate tracks, two paths for the current to flow through. Conductors like electricity, insulators do not.
A batter strikes a baseball of mass 0.85 kg, and the time of impact between the bat and the ball is 0.01 s. If the ball acquires a velocity of 82 m/s after the hit, calculate the average force exerted on the ball.
What's the Solution?
Answer:
6970 N
Explanation:
To calculate the average force exerted on the ball, we can use the impulse-momentum theorem, which states that the impulse on an object is equal to its change in momentum. In equation form:
Impulse = Δp
where Impulse is the force applied over a given time, and Δp is the change in momentum of the object.
We can calculate the momentum of the ball before the hit as:
p1 = m * v1
where m is the mass of the ball and v1 is its initial velocity (which we assume to be zero). Substituting the given values, we get:
p1 = (0.85 kg) * 0 m/s = 0 kg m/s
The momentum of the ball after the hit is:
p2 = m * v2
where v2 is the final velocity of the ball (82 m/s). Substituting the given values, we get:
p2 = (0.85 kg) * 82 m/s = 69.7 kg m/s
The change in momentum (Δp) is therefore:
Δp = p2 - p1 = 69.7 kg m/s - 0 kg m/s = 69.7 kg m/s
The impulse on the ball is equal to the change in momentum, so we have:
Impulse = Δp = 69.7 kg m/s
Finally, we can calculate the average force exerted on the ball using the formula:
Impulse = Force * time
Substituting the given values, we get:
69.7 kg m/s = Force * 0.01 s
Solving for Force, we get:
Force = 6970 N
Therefore, the average force exerted on the ball by the bat is 6970 Newtons.
What is the map distance between E and F?
Progeny # of Progeny eFG 298 Efg 302
eFg 99
EFG 91
EFg 92
efG 88
EFG 19
efg 16
a. 14 mn
b. 20 mn c. 21 mn
d. 22 mn
e. 23 mn
What is the map distance between E and G
a. 19 mn
b. 20 mn
c. 21 mn
d. 22 mn
e. 23 mn
What is the map distance between F and G a. 40 mn
b. 41 mn
c. 42 mn
d. 43 mn
e. 44 mn
What is the interference Coefficient? a. 0.58 b. 0.35 c. 0.72 d. 0.41 e. 0,38
To determine the map distances between E and F, E and G, and F and G, we can use the formula:
Map distance = (Number of recombinant progeny / Total number of progeny) * 100
Map distance between E and F:
Number of recombinant progeny (eFG + Efg + eFg + EFG) = 298 + 302 + 99 + 91 = 790
Total number of progeny = Sum of all progeny = 298 + 302 + 99 + 91 + 92 + 88 + 19 + 16 = 1005
Map distance between E and F = (790 / 1005) * 100 = 78.6 mn (rounded to the nearest whole number)
Map distance between E and G:
Number of recombinant progeny (eFG + EFg + EFG + efG) = 298 + 92 + 19 + 88 = 497
Total number of progeny = 1005 (same as before)
Map distance between E and G = (497 / 1005) * 100 = 49.35 mn (rounded to the nearest whole number)
Map distance between F and G:
Number of recombinant progeny (EFG + efG + EFG + efg) = 91 + 88 + 19 + 16 = 214
Total number of progeny = 1005 (same as before)
Map distance between F and G = (214 / 1005) * 100 = 21.29 mn (rounded to the nearest whole number)
Interference Coefficient:
Interference coefficient is not provided in the given data.
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Please help thank you so much!!
Answer:
Below
Explanation:
CO2 buildup during exercise stimulates respiration
Electrons are important to electric current because they are able to (2 points)
O a carry a positive charge with them as they are transferred from one atoſ to the next creating electric current
Oь
change from a positive charge to a negative charge when transferred from the one atom to the next as the atom becomes an ion
Oc move from one atom to another; the atom that loses an electron becomes positively charged and the atom that gains an electron
becomes negatively charged
Od
shift from one atom to another creating a change in the charge of the atom from a negative to a positive
answer: C
Explanation:
move from one atom to another, the atom that loses an electron becomes positively charged and an atom that gains electrons becomes negatively charged
Which is an indication that a man might be choking
Answer:
If they put their hands near their neck, if they're not breathing properly, if they aren't coughing.
Explanation:
Answer:
if they are struggling to breathe, attempting to cough (like coughing something up) or asking for help whilst holding their stomach, neck
If mason runs a 5 k race at an average speed of 300 m/min how long will it take him to finish
\(\\ \sf\Rrightarrow Speed=\dfrac{Distance}{Time}\)
\(\\ \sf\Rrightarrow Time=\dfrac{Distance}{Speed}\)
\(\\ \sf\Rrightarrow Time=\dfrac{5000}{300}\)
\(\\ \sf\Rrightarrow Time=16.6min\)
A 5-kg ball rolling at a speed of 3 m/s strikes a 2-kg ball at rest. The 5-kg ball then comes to a stop and the 2-kg ball begins to roll forward. Determine how fast the 2-kg ball is moving.
Velocity: _ m/s
Answer:
7.5m/s
Explanation:
Law of conservation of momentum: momentum in a system before collision equals to that after collision/
5kg*3m/s=2kg*v
15kgm/s=2kg*v
v=7.5m/s
The conductivity of water can be increased by adding .
Explanation:
The conductivity of water can be increased by adding any solute that increases the number of ions in solution.
Hope this helps you.. Good luck
The conductivity of water can be incrased by adding to it anything that disolves and ionizes in it.
Examples:
-- sugar
-- coffee
-- tea
-- artificial sweetener
-- baking soda
-- orange juice
-- corn starch
-- salt