Answer:
F_total = -65.5 N
Explanation:
Coulomb's law is
F = \(k \frac{q_1 q_2}{r^2}\)k q1q2 / r2
In this exercise the force on the charge q3 is asked, for this we use that the force is a vector
F_total = F₁₃ + F₂₃
let's look for every force
F₁₃ = \(k \frac{q_1 q_3}{r_{13}^2}\)
it is indicated that charge 1 is equal to q₁ = -11.5 nC = -11.5 10⁻⁹ C, located at x₁ = -1.675 mm = -1.675 10⁻³ m and charge q₃ = 48.0 nC = 48.0 10⁻⁹ C located at x₃ this position is not written in the exercise, suppose the position x₃ = -0.5 mm = 0.5 10⁻³ m
the distance is
r₁₃ = \(\sqrt{(x_3 - x_1 )^2}\)
r₁₃ = \(\sqrt{(0.5-1.675)^2} \ 10^{-3}\)
r₁₃ = 1.175 10⁻³ m
we calculate
F₁₃ = \(\frac{9 \ 10^{9} 11.5\ 10^{-9} 48.0\ 10^{-9} }{(1.175 10^{-3})^2 }\)
F₁₃ = 3.598 N
as the charge q₁ is negative and the charge q₃ is positive the force is attractive directed to the right
we look for F₂₃, where q₂ = 40 nC = 40.0 10⁻⁹ C located at x₂ = 0
F₂₃ = \(k \frac{q_2q_3}{r_{23}^2}\)
r₂₃ = \(\sqrt{(x_3-x_2)^2}\)
r₂₃ = \(\sqrt{(0.5 -0)} \ 10^{-3}\)RA (-0.5 0) 2 103
r₂₃ = 0.5 10⁻³ m
F₂₃ = \(\frac{9 \ 10^{9}\ 40\ 10^{-9} \ 48.0\ 10^{-9} x}{(0.5 \ 10^{-3})^2 }\)
F₂₃ = 6.912 10¹ N
F₂₃ = 69.12 N
as the two charges are of the same sign, the force is repulsive, therefore it is directed to the left
the total force is
F = total = 3.598 - 69.12
F_total = -65.5 N
the negative sign indicates that the force is to the left
Describe how core counselling skills can be used in a counselling relationship and in other helping activities.
Counselling skills are crucial in both professional and personal relationships because they aid in the development of a supportive environment. It includes the creation of a helping relationship, the promotion of efficient interaction, and the establishment of a secure therapeutic relationship. Core counseling skills help to create a positive atmosphere and are used to maintain a supportive relationship with the patient.
There are several ways that core counseling skills can be used in counseling relationships and other helping activities, which are:Empathy Empathy is the ability to understand and appreciate the feelings and ideas of another person. It is an essential part of counseling since it assists the counselor in comprehending and supporting the client's emotional state. Empathy helps the client to feel listened to and supported, reducing feelings of anxiety and fear. For example, in a medical setting, empathizing with the patient can create a positive atmosphere and make the patient feel more comfortable and at ease.Active Listening Active listening is the capability to pay attention to a person while showing interest and concern. It is an essential aspect of counseling and a method of establishing a relationship with the client. Active listening helps the counselor to understand the client's needs, emotions, and concerns. It is an effective method of gathering information and shows the client that the counselor is concerned about them. For instance, in a school setting, active listening can be used to help students feel heard and understood. It can also be used to provide feedback to parents about their children's needs.Non-judgmental Attitude Non-judgmental attitude means avoiding opinions or judgments on the client's actions or circumstances. It is an essential aspect of counseling because it enables clients to feel safe and valued. It also aids in the development of a relationship of trust between the counselor and the client. Non-judgmental attitude can be used in a variety of helping activities, such as mentoring and peer counseling, to create a supportive environment for clients.In conclusion, core counseling skills, including empathy, active listening, and non-judgmental attitude, can be used in various helping activities, including counseling relationships. The use of these skills can help clients feel supported and understood, allowing them to build a relationship of trust with the counselor or helper.For such more question on counseling
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Which element is most likely to be shiny? sulfur (S) boron (B) calcium (Ca) carbon (C)
Answer:
C.
Explanation:
The element that is most likely to be shiny is calcium. The correct option is 3.
Calcium (Ca) is the most likely to be sparkly of the elements shown. Calcium is a metallic element with a glossy or shining look when newly cut or polished.
It belongs to the alkaline earth metals group, which have metallic characteristics and a distinctive lustre.
Sulphur (S), boron (B), and carbon (C), on the other hand, are non-metallic elements with a dull look.
They come in a variety of forms, including powders, crystals, and amorphous solids, although they are not noted for their metallic lustre.
Thus, the answer is 3. calcium.
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Your question seems incomplete, the probable complete question is:
Which element is most likely to be shiny?
sulfur (S) boron (B) calcium (Ca) carbon (C)a camera employs _lens to form_images
Answer:
a camera employs camera lens to firm some images.
Explanation:
hope this helps.
An object is placed at several different distances to the left of the lenses and mirrors (focal length = f). For each case, draw the 3 principal rays to locate the image and then (S.A.L.T.) [Size, Attitude, Location, Type] the image.
To determine the image characteristics using the 3 principal rays and SALTS (Size, Attitude, Location, Type), we'll consider both lenses and mirrors separately. Here's how you can analyze each case:
Lenses:
Place an object at different distances to the left of a lens with a focal length (f).
a) Object placed beyond 2f:
In this case, the object is placed far beyond twice the focal length of the lens.
Principal ray 1: A ray parallel to the principal axis will pass through the focal point on the opposite side.
Principal ray 2: A ray passing through the optical center will continue in a straight line without any deviation.
Principal ray 3: A ray passing through the focal point on the object side will emerge parallel to the principal axis.
The image will be formed on the opposite side of the lens, between the focal point and twice the focal length.
SALTS:
Size: The image will be smaller than the object.
Attitude: The image will be inverted.
Location: The image will be located between the focal point and twice the focal length.
Type: The image will be real.
b) Object placed at 2f:
In this case, the object is placed at twice the focal length of the lens.
Principal ray 1: A ray parallel to the principal axis will pass through the focal point on the opposite side.
Principal ray 2: A ray passing through the optical center will continue in a straight line without any deviation.
Principal ray 3: A ray passing through the focal point on the object side will emerge parallel to the principal axis.
The image will be formed on the opposite side of the lens at twice the focal length.
SALTS:
Size: The image will be the same size as the object.
Attitude: The image will be inverted.
Location: The image will be located at twice the focal length.
Type: The image will be real.
c) Object placed between f and 2f:
In this case, the object is placed between the focal point and twice the focal length of the lens.
In this case, the object is placed far beyond twice the focal length of the mirror.
Principal ray 1: A ray parallel to the principal axis will reflect through the focal point on the same side.
Principal ray 2: A ray passing through the focal point on the object side will reflect parallel to the principal axis.
Principal ray 3: A ray passing through the center of curvature will reflect back along the same path.
The image will be formed on the opposite side of the mirror, between the focal point and twice the focal length.
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how much energy is possessed by 1 mole of nitrogen atoms moving at 35.0 m/s ?
1 mole of nitrogen atoms moving at 35.0 m/s possesses approximately 27.8 joules of energy.
To calculate the energy possessed by 1 mole of nitrogen atoms moving at 35.0 m/s, we need to consider both the kinetic energy and the molecular mass of nitrogen.
The kinetic energy (KE) of an object is given by the equation KE = 1/2 * m * v^2, where m is the mass and v is the velocity.
The molar mass of nitrogen (N₂) is approximately 28.0134 g/mol, which can be converted to kilograms by dividing by Avogadro's number (6.022 × 10^23). This gives us a mass of approximately 4.65 × 10^(-26) kg for one nitrogen atom.
Plugging in the values, we have KE = 1/2 * (4.65 × 10^(-26) kg) * (35.0 m/s)^2.
Evaluating the equation, we find that the kinetic energy possessed by one nitrogen atom is approximately 4.62 × 10^(-23) joules.
Since we are considering 1 mole of nitrogen atoms, we need to multiply this value by Avogadro's number to get the energy possessed by 1 mole. Avogadro's number is 6.022 × 10^23, so the total energy is approximately 2.78 × 10^1 joules, or 27.8 J.
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When practicing deep breathing, it is best to repeat the steps for
minutes to start and then increase the time as needed.
Answer:
c.) 10 to 15 minutes
Explanation:
yw :)
Answer:
c.) 10 to 15 minutes
Explanation:
Write the differences between rest and motion
Answer:
Depends on position
Explanation:
Rest:
A body is said to be at rest, if it does not change its position with respect to its surroundings.
Motion:
A body is said to be in motion, if it changes its position with respect to its surroundings.
The state of rest and motion is relative
Which form of energy has the most potential globally
a) Solar energy
b) Bio energy
c) Wind energy
d) Geothermal energy
Answer:
i think the answer is solar,
Explanation:
because it is a natural resource im sorry if im wrong
How many possible outcomes are there in rolling a spinner 1 to 8?; What is the probability of spin an even number on a 1 to 8 spinner?; What is the probability of getting a prime number in spinner with numbers 1/8 is spun?; How many different outcomes are possible for spinning the spinner and tossing the coin?
The probability of getting a prime number ( 2, 3, 5, 7) between 1 to 8 is 1/2. The total outcomes possible for spinning the spinner and tossing the coin is 16.
What is probability?Branch of mathematics concerning numerical descriptions of how likely an event is to occur is called probability.
Total number of outcomes = 8.
Let, the probability of getting a prime number ( 2, 3, 5, 7) between 1 to 8
P(E) = (no. of outcomes) /( total no. of outcomes)
=4/8
=1/2
When a coin is tossed, there are two possible outcomes that are H(head), and T(tail).
If you spin the spinner , there are 8 possibilities.
Total outcomes = 8 * 2
=16
There are 16 outcomes, when spinning a spinner numbered from 1 to 8 and tossing a coin.
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If you travel from Tucson to Argentina, you will see some different constellations in the night sky. true or false
Answer:
its true!!
Explanation: have a nice day !!
Derive Lorentz transformation
Lorentz transformation is a mathematical framework that describes how the coordinates of an event in space and time change for two observers in relative motion.
What is Lorentz transformation?Consider two inertial frames of reference, S and S', moving relative to each other along the x-axis with a constant velocity v. Let an event occur at position (x, y, z, t) in frame S, and let (x', y', z', t') be the corresponding position in frame S'.
The transformation equations for space and time are given by:
\(x' = γ(x - vt)\\y' = y\\z' = z\\t' = γ(t - vx/c^2)\)
where\(γ = 1/√(1 - v^2/c^2)\) is the Lorentz factor, and c is the speed of light.
These equations show how the coordinates of an event in one frame of reference are related to the coordinates in another frame of reference that is moving relative to the first frame. They are known as the Lorentz transformations and are a fundamental aspect of special relativity.
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ment 2.1
1. Identify Describe one example of each of the scientific practices (Figure 2-2) in
the Hubbard Brook experiment.
Describe one of the Hubbard Brook experiment's examples of each of the scientific practices (Figure 2-2): The researchers used two distinct woodlands. One was pruned, while the other was unaltered. Then they took measurements of the water and nutrient discharge.
What is Hubbard Brook experiment ?The Hubbard Brook Experimental Forest, a 7,800-acre field site in the White Mountains of New Hampshire, is the setting for the extensive, cooperative Hubbard Brook Ecosystem study. Long-term observation, testing, and modeling have been employed by scientists to establish a solid understanding of the northern hardwood forests of eastern North America for more than 60 years.
The Long Term Ecological Academic (LTER) and Long Term Research in Environmental Biology (LTREB) programs of the National Science Foundation, the Hubbard Brook Research Foundation, and scientists from research institutes throughout the world collaborated on the study.An extensive, collaborative research project with the goal of bettering our comprehension of how northern forest ecosystems react to anthropogenic and natural disturbances is the Hubbard Brook Ecosystem Study.So finally we can say that - the description of one of the example of each of the scientific practices (Figure 2-2) in the Hubbard Brook experiment - The scientists took two different forests. One cut down, and the other untouched. They then measured the outflow of water and nutrient.
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No no no no. no no no no
A carousel is (more or less) a disk of mass, 15,000 kg, with a radius of 6.14. What torque must be applied to create an angular acceleration of 0.0500 rad/s^2?round to 3 significant figures
(Plssss help me im suffering from severe brainrot)
To calculate the torque required to create an angular acceleration, we can use the formula:
Torque = Moment of Inertia × Angular Acceleration
The moment of inertia of a disk can be calculated using the formula:
Moment of Inertia = (1/2) × Mass × Radius^2
Given:
Mass = 15,000 kg
Radius = 6.14 m
Angular Acceleration = 0.0500 rad/s^2
First, calculate the moment of inertia:
Moment of Inertia = (1/2) × Mass × Radius^2
Moment of Inertia = (1/2) × 15,000 kg × (6.14 m)^2
Next, calculate the torque:
Torque = Moment of Inertia × Angular Acceleration
Torque = Moment of Inertia × 0.0500 rad/s^2
Now, let's plug in the values and calculate:
Moment of Inertia = (1/2) × 15,000 kg × (6.14 m)^2
Moment of Inertia ≈ 283,594.13 kg·m^2
Torque = 283,594.13 kg·m^2 × 0.0500 rad/s^2
Torque ≈ 14,179.71 N·m
Rounding to three significant figures, the torque required to create an angular acceleration of 0.0500 rad/s^2 is approximately 14,180 N·m.
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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
A 12.0-g bullet is fired horizontally into a 112-g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 149 N/m. The bullet becomes embedded in the block. If the bullet-block system compresses the spring by a maximum of 83.5 cm, what was the speed of the bullet at impact with the block
The heaviest train ever pulled by a single engine was over 2 km long. Suppose a force of 1.13 X 10^8 N is needed to overcome static friction in the train's wheels. If the coefficient of static friction is 0.741, what's the train's mass?
The overcoming force is equal to the friction. The train's mass is 15,560,880.5 Kg
What is Friction ?Friction can simply be defined as a force that opposes the movement of an object in a plain surfaces.
Given that the heaviest train ever pulled by a single engine was over 2 km long. Suppose a force of 1.13 X 10^8 N is needed to overcome static friction in the train's wheels. If the coefficient of static friction is 0.741, what's the train's mass?
F = μN
Where
F = Frictional force = overcoming force = 1.13 X 10^8 Nμ = coefficient of static friction = 0.741N = Normal reaction = mgSubstitute all the necessary parameters
1.13 X 10^8 = 0.741N
N = 1.13 X 10^8/0.741
N = 152496626.2 N
N = mg
152496626.2 = 9.8m
m = 152496626.2/9.8
m = 15,560,880.5 Kg
Therefore, the mass of the train is 15,560,880.5 Kg.
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If an object is placed at a distance of 12 cm from a convex lens of focal length 16 cm then calculate the image distance from the lens?
Answer:
-48cm
Explanation:
For a convex lens f is +ve and V is +ve
Using the formula 1/f=1/v+1/u
u=12cm and f=16cm
1/16-1/12=1/v
1/v=-1/48
v=-48cm
Particles q₁ +8.0 μC, q2 +3.5 μC, and
93-2.5 μC are in a line. Particles q₁ and q2 are
separated by 0.10 m and particles q2 and q3 are
separated by 0.15 m. What is the net force on
particle q₂?
Remember: Negative forces (-F) will point Left
Positive forces (+F) will point Right
+8.0μ.C
+91
0.10 m
+3.5 C
+92
0.15 m
-2.5μ C
93
The net force on particle q₂, located between particles q₁ and q₃, is approximately 189000 N. The force exerted by particle q₁ on q₂ is positive and equals 252000 N, while the force exerted by particle q₃ on q₂ is negative and equals -63000 N.
To find the net force on particle q₂, we need to calculate the individual forces exerted on q₂ by particles q₁ and q₃ and then determine their sum.
The force between two charged particles can be calculated using Coulomb's law:
F = k * |q₁ * q₂| / r²
Where F is the force between the particles, k is the electrostatic constant (k ≈ 9.0 x \(10^9\) Nm²/C²), q₁ and q₂ are the charges of the particles, and r is the distance between them.
First, let's calculate the force exerted on q₂ by q₁:
F₁₂ = k * |q₁ * q₂| / r₁₂²
F₁₂ = (9.0 x \(10^9\) Nm²/C²) * |(8.0 μC) * (3.5 μC)| / (0.10 m)²
F₁₂ ≈ 252000 N
The force is positive because q₁ and q₂ have opposite charges.
Next, let's calculate the force exerted on q₂ by q₃:
F₂₃ = k * |q₂ * q₃| / r₂₃²
F₂₃ = (9.0 x \(10^9\)Nm²/C²) * |(3.5 μC) * (-2.5 μC)| / (0.15 m)²
F₂₃ ≈ -63000 N
The force is negative because q₂ and q₃ have the same charge.
Finally, we can find the net force on q₂ by summing the individual forces:
Net force = F₁₂ + F₂₃
Net force = 252000 N + (-63000 N)
Net force ≈ 189000 N
The net force on particle q₂ is approximately 189000 N.
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I need help on question 4 The value of time is 11 second.
Given data:
* The initial velocity given is 27.3 m/s.
* The final velocity given is 46.4 m/s.
* The value of time given is 11 second.
Solution:
The change in velocity is,
\(\begin{gathered} \Delta v=v_f-v_i_{} \\ \Delta v=46.4-27.3 \\ \Delta v=19.1ms^{-1} \end{gathered}\)Thus, the value of acceleration is,
\(a=\frac{\Delta v}{t}\)Substituting the known values,
\(\begin{gathered} a=\frac{19.1}{11} \\ a=1.74ms^{-2} \end{gathered}\)Thus, the value of acceleration is 1.74 meter per second squared.
In the table form, the final answers are,
An aeroplane is circling above an airport in a horizontal circle at a speed of 400 kmh-1.The banking angle of the wings is 20.What is the radius of the circular path?
Answer: the radius of the circular path is approximately 1637.58 meters.
Explanation:
The centripetal force acting on the airplane is provided by the component of the gravitational force that acts towards the center of the circular path. This component is given by:
F_c = m * g * tan(banking angle)
Where:
F_c is the centripetal force
m is the mass of the airplane
g is the acceleration due to gravity
tan(banking angle) is the tangent of the banking angle
Now, the centripetal force is also given by the formula:
F_c = (m * v^2) / r
Where:
v is the speed of the airplane
r is the radius of the circular path
Equating the two expressions for F_c, we get:
(m * g * tan(banking angle)) = (m * v^2) / r
Canceling out the mass (m) on both sides of the equation, we have:
g * tan(banking angle) = v^2 / r
Solving for r, we get:
r = (v^2) / (g * tan(banking angle))
Substituting the given values:
v = 400 km/h = 400,000 m/h
g = 9.8 m/s^2
banking angle = 20°
Converting the speed to m/s:
v = 400,000 m/h * (1/3600) h/s = 111.11 m/s
Converting the banking angle to radians:
banking angle = 20° * (π/180) rad/° = 0.3491 rad
Now, substituting the values into the formula:
r = (111.11^2) / (9.8 * tan(0.3491))
r ≈ 1637.58 meters
Therefore, the radius of the circular path is approximately 1637.58 meters.
Question 1 of 20:
Select the best answer for the question.
1. What's an example of being proactive in your workouts?
A. Wearing appropriate running shoes for your environment
O B. Choosing to use the next available cardio machine
O C. Going on a run without planning your path ahead of time
O D. Working out twice as long as expected since you're not fatigued
O Mark for review (Will be highlighted on the review page)
A. Wearing appropriate running shoes for your environment is an example of being proactive in your workouts.
What are the ways of becoming proactive in workouts?There are several ways to become proactive in workouts:
(1) Set specific goals: Setting specific and measurable fitness goals can help you stay focused and motivated. It can also help you track your progress and make necessary adjustments to your workout routine.
(2) Plan your workouts: Planning your workouts ahead of time can help you stay organized and committed to your fitness routine. This can include scheduling your workouts in advance and creating a workout plan that targets your specific goals.
(3) Track your progress: Tracking your progress can help you stay motivated and see how far you've come. This can include keeping a workout journal, taking progress photos, or using a fitness tracker.
(4) Stay consistent: Consistency is key when it comes to achieving fitness goals. Set a regular workout schedule and stick to it as much as possible.
(5) Listen to your body: Pay attention to how your body feels during and after workouts. If something doesn't feel right, make adjustments or seek guidance from a fitness professional.
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2. Below what depth would a submarine have to submerge so that it would not be swayed by surface waves with a wavelength of 24 meters?
Answer: Below 12m of depth, the submarine has to submerge so that it would not be swayed by surface waves
Explanation:
To avoid the surface waves, a submarine has to submerge below the wave base. It is the position below which the motion of the waves is negligible.
This wave base is equal to half of the wavelength. The equation becomes:
Wave base = \(\frac{\text{Wavelength}}{2}\)
We are given:
Wavelength = 24 m
Putting values in above equation, we get:
Wave base = \(\frac{24m}{2}=12m\)
Hence, below 12m of depth, the submarine has to submerge so that it would not be swayed by surface waves
What does newton first law states
Answer:
Newton's first law, also known as the law of inertia, states that an object will remain at rest or in motion at a constant velocity unless acted upon by an external force. In other words, an object will not change its velocity on its own, it will only do so if something else pushes or pulls on it. This law is a fundamental principle of classical mechanics, and it helps to explain the behavior of objects under various conditions.
Explanation:
Answer: Newton first law states that an object at rest tends to stay at rest. an object in motion tends to stay in motion in a straight line at a constant speed until another force acts on the object. It is also called the law of inertia
Explanation: Newton’s first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.
Hope this was helful
A system consists of two uncharged metal spheres, each suspended on an insulating string and connected to the other by a thin
conducting wire. A positively charged rod is brought near, but does not touch, the left sphere, and the sphere is attracted to the rod. Which
of the following is correct about the net charge on the right sphere as a result?
The right sphere will acquire an equal and opposite net positive charge to balance the negative charge on the left sphere.
Electrostatic attractionSince the left sphere is attracted to the positively charged rod, it means that the left sphere acquires a temporary negative charge due to induction.
The positive charge on the rod repels electrons in the left sphere, causing them to move away from the rod side and accumulate on the opposite side, resulting in a net negative charge on the left sphere.
According to the principle of charge conservation, the net charge on the system must remain zero. Therefore, the right sphere acquires an equal and opposite net positive charge to balance the negative charge on the left sphere.
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Two objects with masses of m1 = 3.70 kg and m2 = 5.70 kg are connected by a light string that passes over a frictionless pulley, as in the figure below. Answer parts a-c.
(a) The tension in the string is determined as 19.6 N.
(b) The acceleration of each object is 5.3 m/s².
(c) The distance each object will move in the first second if it started from rest is 2.65 m.
What is the tension in the string?(a) The tension in the string is the resultant weight of the masses and magnitude is calculated as follows;
T = ( 5.7 kg - 3.7 kg ) x 9.8 m/s²
T = 19.6 N
(b) The acceleration of each object is calculated as follows;
a = T / m
where;
m is the mass T is the tensiona = 19.6 N / 3.7 kg
a = 5.3 m/s²
(c) The distance each object will move in the first second if it started from rest is calculated as;
s = ut + ¹/₂at²
where;
u is the initial velocity = 0s = 0 + ¹/₂(5.3)(1²)
s = 2.65 m
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Acceleration and Velocity
Answer:
acceleration an velocity are two different types of hate for each individual to choose from my favorite ones and not just one for me like you said you would have to pay for the person you want and you will need to pay for your business.
Explanation:
no exceptions
Which types of light are not absorbed by the genetic material
Answer:
I know only one type of light that is absorbed by genetic materail and that is UV light
Explanation:
A force of 20 N to the south is applied to each object below. Which object will undergo the greatest change in momentum?
Answer:
Hello there! The answer your would be looking for is:
A 33 kg object that is moving north at 10 m/s
Momentum can be defined as the product of mass and velocity. Thus momentum is directly proportional to both velocity and momentum. Thus, the object with greater mass as well as velocity has greater momentum. Therefore, option C is correct.
What is force?Force can be described as an external agent acting on a body, to change its state of rest or motion. There are several kinds of forces such as magnetic force, frictional force, nuclear force, etc.
In physics, force can be described as the product of the mass and acceleration of the body. Greater mass results in greater force required to be exerted on the object to make it move or stop.
Therefore, when mass or velocity or both increases, the momentum of the object increases as well. Therefore, the larger object moving faster gain greater momentum.
Therefore, when the same force is exerted on the object then, the 41 kg object that is moving north at 12 m/s will undergo the greatest change in momentum.
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Your question was incomplete but most probably the complete question was,
A force of 20 N to the south is applied to each object below. Which object will undergo the greatest change in momentum?
A. A 33 kg object that is moving north at 12 m/s
B. A 41 kg object that is moving north at 10 m/s
C. A 41 kg object that is moving north at 12 m/s
D. A 33 kg object that is moving north at 10 m/s
A steam pipe is covered with 1.50-cm thick insulating material of thermal conductivity of 0.200 cal/cm · °C · s. How much energy is lost every second when the steam is at 195°C and the surrounding air is at 20.0°C? The pipe has a circumference of 800 cm and a length of 40.0 m. Neglect losses through the ends of the pipe.
This question involves the concepts of Fourier's law of heat conduction and heat loss per unit time.
The heat energy loss per second is "3.12 x 10⁸ W".
Applying Fourier's Law of Heat Conduction here, we get:
\(Q = -kA\frac{\Delta T}{\Delta x}\)
where,
Q = heat energy loss per unit time = ?
k = thermal conductivity = 0.2 cal/cm.°C.s \((\frac{4.184\ J}{1\ cal})(\frac{100\ cm}{1\ m})\) = 83.68 J/m.°C.s
A = Surface area = (circumference)(length) = (8 m)(40 m) = 320 m²
ΔT = difference in temperature = 20°C - 195°C = -175°C
Δx =thickness of insulation = 1.5 cm = 0.015 m
Therefore,
\(Q = -(83.68\ J/m.^oC.s)(320\ m^2)(\frac{-175\ ^oC}{0.015\ m})\\\\\)
Q = 3.12 x 10⁸ W = 312 MW
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It's impossible to have a legitimate criminal justice system if there are no
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In a situation where there are no mutually agreed-upon standards of
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