Answer:B
Explanation:
Answer:
(D) temperate continental
Explanation:
A hard-boiled egg of mass 50.0 g moves on the end of a spring with spring constant
The magnitude of the damping coefficient is = 0.277 Ns/m
The magnitude of the damping coefficientWe can use the formula for the damped harmonic motion of a spring-mass system:
x = A*e^(-bt/2m)*cos(wt + delta)At t=0, the displacement of the egg is x = 0.300 m, and at t=5.00 s, the displacement has decreased to x = 0.100 m.
The angular frequency of the motion is:
w = sqrt(k/m) = sqrt(25.0 N/m / 0.0500 kg) = 10.0 rad/s
The equation for the amplitude of the motion at time t is:
A = x / cos(wt + delta) * e^(bt/2m)
At t=0, we have:
A = 0.300 m / cos(0 + delta) * e^(b0/20.0500 kg) = 0.300 m / cos(delta)
At t=5.00 s, we have:
A = 0.100 m / cos(10.0 rad/s * 5.00 s + delta) * e^(b5.00 s/20.0500 kg)
Dividing these two equations, we get:
0.300 m / cos(delta) / (0.100 m / cos(10.0 rad/s * 5.00 s + delta) * e^(b5.00 s/20.0500 kg)) = e^(b5.00 s/20.0500 kg)
Simplifying, we get:
cos(10.0 rad/s * 5.00 s + delta) * e^(b5.00 s/20.0500 kg) / cos(delta) = 3.00
Taking the natural logarithm of both sides, we get:
ln(cos(10.0 rad/s * 5.00 s + delta) * e^(b5.00 s/20.0500 kg) / cos(delta)) = ln(3.00)
Using the properties of logarithms, we can simplify this to:
ln(cos(10.0 rad/s * 5.00 s + delta)) + b*5.00 s / 0.0500 kg / 2 - ln(cos(delta)) = ln(3.00)
We can rearrange this equation to solve for b:
b = (2/5.00 kg) * (ln(3.00) - ln(cos(10.0 rad/s * 5.00 s + delta)) + ln(cos(delta)))
The phase angle delta is unknown, but it cancels out when we take the difference between the two equations for A. Therefore, we can choose any value of delta and still get the correct value of b.
Let's choose delta = 0 for simplicity. Plugging in the values, we get:
b = (2/0.0500 kg) * (ln(3.00) - ln(cos(10.0 rad/s * 5.00 s)) + ln(cos(0)))
b = 0.277 Ns/m
Therefore, the magnitude of the damping coefficient is = 0.277 Ns/m
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A 50.0-g hard-boiled egg moves on the end of a spring with force constant k=25.0N/m. It is released with an amplitude 0.300 m. A damping force Fx=−bv acts on the egg. After it oscillates for 5.00 s, the amplitude of the motion has decreased to 0.100 m.Calculate the magnitude of the damping coefficient b.
A 120.00 resistor, a 60.00 resistor, and a 40.00 resistor are connected in parallel and placed across a 12.0-V battery. What
is the current of the entire circuit?
a.0.800 A
C. 0.600 A
b. 1.26 A
d. 0.062 A
Answer:
C
Explanation:
Please help me thank you
The gravitational potential energy of a body is determined by the equation U=mgh, where m is the body's mass, g is its gravitational force, and h is its height. The relationship between mechanical energy and gravitational potential energy is described by the equation E=U+K.
What is the kinetic energy equation?KE= 1/2 m v2
The relationship between kinetic energy and an object's mass and square of its velocity is direct: K.E. = 1/2 m v2.
We compute kinetic energy because...It provides information on how a substance's mass impacts its velocities. Take this as a case study. A lorry and a sleek vehicle powered by the same engine cannot go at the same pace because to their different designs.
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HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?
Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.
To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.
In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.
To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.
Total cost covered by the five friends = Total cost - Cost of one person's meal
= (£12 x 6) - £12
= £72 - £12
= £60
Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).
Amount each friend needs to pay = Total cost covered by the five friends / Number of friends
= £60 / 5
= £12
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A baseball pitcher brings his arm forward during a pitch, rotating the forearm about the elbow. If the velocity of the ball in the pitcher's hand is 34.0 m/s and the ball is 0.310 m from the elbow joint, what is the angular velocity (in rad/s) of the forearm
Answer:
\(\omega=109.67\ rad/s\)
Explanation:
Given that,
The speed of the ball, u = 34 m/s
The ball is 0.310 m from the elbow joint.
We need to find the angular velocity (in rad/s) of the forearm.
We know that,
\(v=r\omega\\\\\omega=\dfrac{v}{r}\\\\\omega=\dfrac{34}{0.31}\\\\\omega=109.67\ rad/s\)
So, the required angular velocity of the forearm is 109.67 rad/s.
the government can encourage the production of goods that create positive externalities by creating?
The government can encourage the production of goods that create positive externalities by implementing policies and mechanisms such as subsidies, tax incentives, and regulations.
Positive externalities occur when the production or consumption of a good or service benefits society beyond the direct parties involved. These benefits can include improved public health, environmental sustainability, or increased social welfare. To encourage the production of goods with positive externalities, the government can take the following steps:
Subsidies: The government can provide financial support to producers of goods with positive externalities. Subsidies can offset production costs, making it more attractive for producers to supply these goods. By reducing the costs of production, subsidies can encourage higher output and more widespread availability of goods that benefit society.
Tax incentives: The government can offer tax incentives or tax breaks to businesses that produce goods with positive externalities. By reducing the tax burden on producers, it becomes economically advantageous for businesses to engage in activities that generate positive externalities. Tax incentives can stimulate investment, innovation, and production in areas that have positive spillover effects.
Regulations: The government can implement regulations and standards that require or promote the production of goods with positive externalities. For example, environmental regulations can encourage industries to adopt cleaner technologies and reduce pollution. By setting standards and enforcing regulations, the government can steer production towards goods that have positive impacts on society.
Public-Private Partnerships: The government can collaborate with private entities to promote the production of goods with positive externalities. Through partnerships, the government can provide resources, expertise, and incentives to businesses that are willing to produce goods that generate social benefits. This collaboration can help overcome barriers and create a conducive environment for the production of socially beneficial goods.
By employing these measures, the government can provide the necessary incentives and support for the production of goods that create positive externalities. These actions align the private interests of producers with the broader goals of societal welfare, fostering a more sustainable and socially responsible economy.
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Find the Net Force on a truck with a mass of 1,500kg and an acceleration
of 10m/s2?
Answer:
15,000 N
Explanation:
F = ma = (1,500 kg)(10 m/s^2) = 15,000 N
David is driving a steady 25.0m/s when he passes Tina, who is sitting in her car at rest. Tina begins to accelerate at a steady 2.60m/s2at the instant when David passes.
How far does Tina drive before passing David?
What is her speed as she passes him?
Tina's speed as she passes David is 25.0 m/s, which is the same as David's speed. To solve this problem, we can use the kinematic equations of motion:
Position as a kinematic equations of time: x = x0 + v0t + (1/2)at^2
Final velocity as a function of time: v = v0 + at
First, let's find out how long it takes for Tina to catch up to David. We can use the second equation above to find the time it takes for Tina to reach David's speed:
v = v0 + at
25.0 m/s = 0 + 2.60 m/s^2 * t
t = 9.62 s
Now we can use the first equation to find how far Tina travels during that time:
x = x0 + v0t + (1/2)at^2
x = 0 + 0 + (1/2)(2.60 m/s^2)(9.62 s)^2
x = 120.3 m
Therefore, Tina drives 120.3 meters before passing David. To find her speed as she passes David, we can use the second equation above:
v = v0 + at
v = 0 + 2.60 m/s^2 * 9.62 s
v = 25.0 m/s is the final velocity.
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Earth what on its axis from what to what approximately every what
Could someone help me
What means what should I put in there
Answer:
Earth rotates on its axis from west to east approximately every 24 hours
Explanation:
hope this helps :)
A 48.0-kg diver jumped to a maximum height of 11.0 meters. From there, the diver falls from rest and hits the pool at a speed of 8.81 m/s. How much energy was transferred into thermal energy during the fall?
Approximately 3,299.9 J of energy was transferred into thermal energy during the fall of the diver.
To determine the amount of energy transferred into thermal energy during the fall of the diver, we can use the principle of conservation of energy.
The initial potential energy of the diver at the maximum height is given by:
Potential Energy (PE) = m * g * h
Where:
m = mass of the diver (48.0 kg)
g = acceleration due to gravity (9.8 m/s^2)
h = maximum height (11.0 m)
Substituting the given values:
PE = 48.0 kg * 9.8 m/s^2 * 11.0 m = 5,219.2 J
The final kinetic energy of the diver just before hitting the pool is given by:
Kinetic Energy (KE) = (1/2) * m * v^2
Where:
m = mass of the diver (48.0 kg)
v = speed of the diver (8.81 m/s)
Substituting the given values:
KE = (1/2) * 48.0 kg * (8.81 m/s)^2 = 1,919.3 J
The difference between the initial potential energy and the final kinetic energy represents the energy transferred into thermal energy:
Energy transferred into thermal energy = PE - KE
= 5,219.2 J - 1,919.3 J
= 3,299.9 J
Therefore, approximately 3,299.9 J of energy was transferred into thermal energy during the fall of the diver.
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What is formula of force
Answer:
Hey Buddy!
Explanation:
This is ur answer....
F = m × aHope it helps!
Brainliest pls!
Have a good day!
Answer:
The formula for force is Force = Mass x Acceleration (F = m x a).A car traveling at 120km/h towards west makes a right turn and travel north without changing its speed .120km/h120km/h.Using a vector diagram.Finding the magnitude and direction of the resultant velocity of the car
The magnitude and direction of the resultant velocity of the car will be 169.70 km/h and 45°.
What is a vector?The quantity which has magnitude, direction and follows the law of vector addition is called a vector.
A car traveling at 120 km/h towards west makes a right turn and travel north without changing its speed.
Then the magnitude (R) will be
R² = 120² + 120²
R² = 28800
R = 169.70 km / h
Then the direction of the resultant velocity will be
tan θ = 120 / 120
tan θ = 1
tan θ = tan 45°
θ = 45°
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Which law of thermodynamics does each of the following scenarios violate (if any)?
A machine that can turn 1000J of heat directly into 1000J of electricity
1.
The first law of thermodynamics
2.
The second law of thermodynamics
3.
The third law of thermodynamics
4.
It is allowed
Answer: The scenario violates the second law of thermodynamics.
Explanation: The second law states that heat cannot be converted into work without some loss of usable energy, and that the amount of usable energy in a closed system will always decrease over time. Therefore, the machine described in the scenario cannot exist because it would violate the second law by converting all of the heat into electricity without any loss of usable energy.
When is the direction of the total acceleration in a circular motion tan-(ac/at) and when is it tan-(at/ac)?Ive seen there are cases where the tangential acc is vertical and ac is horizontal and vice versa
In circular motion, the total acceleration has two components: the centripetal acceleration (a_c) and the tangential acceleration (a_t). The centripetal acceleration is directed towards the center of the circle, while the tangential acceleration is directed along the tangent to the circle at the point of interest.
The angle (θ) between the total acceleration vector (a) and one of its components (either a_c or a_t) can be found using the arctangent function (tan^(-1)) and the ratio of the other component. For example:θ = tan^(-1)(a_c/a_t) or θ = tan^(-1)(a_t/a_c)
Which formula to use depends on the reference frame you are using and how you define the angle. Let's consider two cases:1. If you define the angle (θ) between the total acceleration vector (a) and the tangential acceleration (a_t), you should use:
θ = tan^(-1)(a_c/a_t)2. If you define the angle (θ) between the total acceleration vector (a) and the centripetal acceleration (a_c), you should use:
θ = tan^(-1)(a_t/a_c)Regarding the orientation of the acceleration vectors, the tangential and centripetal accelerations are always perpendicular to each other. The orientation (horizontal or vertical) depends on the specific problem and the point in the circular path being considered. For example, at the top and bottom points of a vertical circle, the tangential acceleration will be horizontal, and the centripetal acceleration will be vertical. On the other hand, at the left and right points of the circle, the tangential acceleration will be vertical, and the centripetal acceleration will be horizontal.PLEASE HELP QUICK! i don’t know this one
Designed and developed by private companies: Commercial satellite.
Used to access electronic intelligence: Reconnaissance satellite.
Used to make strategic decisions in advance: Early warning satellite.
Used to assist in strike planning: Reconnaissance satellite.
Remote sensing: Commercial satellite.
How to explain the informationCommercial Satellite are designed and developed by private companies and are primarily used for commercial purposes. They can provide a wide range of services, including telecommunications, broadcasting, internet connectivity, and navigation. Commercial satellites are often operated by companies like SpaceX, OneWeb, or Iridium.
Reconnaissance satellites are used to gather information about a specific area or target. They are equipped with advanced imaging systems, such as high-resolution cameras or synthetic aperture radar (SAR), which allow them to capture detailed images or collect other types of data for military or intelligence purposes.
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The balls in the image above have different masses and speeds. Fill in the blanks in the following sentence: Ball ___ has the greatest amount of momentum and ball ___ has the least amount of momentum.
The probability of
an electron penetrating barrier of 10 eV is equal to 0.8 %. If the width of the potential barrier is 0.6
nm, find the energy of the electron.
The energy of the electron in the given region is 9.38 eV.
The given parameters:
Probability, e = 0.8%Height of barrier, U₀ = 10 eVWidth of the barrier, w = 0.6 nmWhat is electron barrier penetration?When a particle of energy E less than the potential cannot penetrate inside that region.
The exponential factor is calculated as follows;
\(T = e^{-2 \alpha a} \\\\ 0.008 = e^{-2(0.6 \times 10^{-9})\alpha}\\\\ -2(0.6 \times 10^{-9})\alpha = ln(0.008)\\\\ -2(0.6 \times 10^{-9})\alpha = -4.828\\\\ \alpha = \frac{-4.828}{-2(0.6 \times 10^{-9})} \\\\ \alpha = 4.023 \times 10^9\)
The energy of the electron is calculated as follows;
\(\alpha = \sqrt{\frac{2m(U_0 -E)}{h^2} } \\\\ 4.023 \times 10^9 = \sqrt{\frac{2 ( 9.11 \times 10^{-31} kg)(10 \ eV -E) \ \times 1.6\times 10^{-19} \ J/eV}{(1.055 \times 10^{-34} \ J.s)^2 } } \\\\ (4.023 \times 10^9)^2 = \frac{2 ( 9.11 \times 10^{-31} kg)(10 \ eV -E) \ \times 1.6\times 10^{-19} \ J/eV}{(1.055 \times 10^{-34} \ J.s)^2 }\\\\ 2 ( 9.11 \times 10^{-31} )(10 \ eV -E) 1.6\times 10^{-19} = (4.023 \times 10^9)^2 (1.055 \times 10^{-34} \ )^2\\\\ \)
\(10eV - E = \frac{(4.023 \times 10^9)^2\times (1.055 \times 10^{-34} \ )^2}{2 ( 9.11 \times 10^{-31} ) \times 1.6\times 10^{-19}} \\\\ 10eV - E = 0.62 \ eV\\\\ E = 10 \ eV - 0.62\ eV\\\\ E = 9.38 \ eV\)
Thus, the energy of the electron in the given region is 9.38 eV.
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How much POWER is used in 30 seconds when you complete 150 Joules of work?
Answer:
Power of 5 watts is used
Explanation:
Mechanical Work and Power
Mechanical work is the amount of energy transferred by a force.
Being F the force vector and s the displacement vector, the work is calculated as:
\(W=\vec F\cdot \vec s\)
If both the force and displacement are parallel, then we can use the equivalent scalar formula:
W=F.s
Power is the amount of energy converted per unit of time. The SI unit of power is the watt, equal to one joule per second.
The power can be calculated as:
\(\displaystyle P=\frac {W}{t}\)
Where W is the work and t is the time.
It's required to calculate the power used in t=30 seconds when W=150 Joules of work are completed. Substitute in the formula:
\(\displaystyle P=\frac {150}{30}\)
P = 5 Watt
Power of 5 watts is used
Please help and show work :)
A housecat accelerates (from rest) at 0.21 m/s^2 for 7 seconds. How fast is the cat going after 7 seconds? Hint: look at the kinematic equations.
Answer:
1.47 m/s
Explanation:
v = v0 + at
where
v0 = initial velocity (zero in this case)
a = acceleration = 0.21 m/s^2
t = time = 7 seconds
Plugging in these values, we get:
v = 0 + (0.21 m/s^2)(7 s)
v = 1.47 m/s
Find weather X^N plus Y^N is divisible by X - Y (y not equal to 0) or not
The expression \(X^{N} + Y^{N}\)is not divisible by X - Y (where Y is not equal to 0).
To determine whether the expression \(X^{N} + Y^{N}\) is divisible by X - Y (where Y is not equal to 0), we can use the factor theorem and the property of binomial expansion.
The factor theorem states that if a polynomial P(x) is divisible by (x - a), then P(a) equals zero. In our case, if \(X^{N} + Y^{N}\) is divisible by (X - Y), then when we substitute X = Y into the expression, the result should be zero.
Let's substitute X = Y into the expression:
\(Y^{N} + Y^{N}\)
Since \(Y^{N}\) is equivalent to \(Y^{N}\) , the expression becomes:
2(\(Y^{N}\))
We can see that the expression 2(\(Y^{N}\)) is not equal to zero unless Y is equal to zero. Therefore, if Y is not equal to zero, \(X^{N} + Y^{N}\) is not divisible by X - Y.
In summary, unless Y is equal to zero, the expression \(X^{N} + Y^{N}\) is not divisible by X - Y according to the factor theorem and the given condition.
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A technician builds an RLC series circuit which includes an AC source that operates at a fixed frequency and voltage. At the operating frequency, the resistance R is equal to the inductive reactance XL. The technician notices that when the plate separation of the parallel-plate capacitor is reduced to one-half its original value, the current in the circuit doubles. Determine the initial capacitive reactance in terms of the resistance R.
Answer:
Xc = (0.467 - 0.427j)R
Explanation:
Since the resistance in the circuit is R, the reactance of the inductor is XL and the reactance of the capacitor is XC, then the impedance of the circuit is
Z = √[R² + (XL - XC)²]
Since the inductive reactance XL equals the resistance R, we have that
Z = √[R² + (XL - XC)²]
Z = √[R² + (R - XC)²]
Thus, the current in the circuit is thus I = V/Z = V/√[R² + (R - XC)²]
Now, when the plate separation of the parallel plate capacitor is reduced to one-half its original value, the current doubles. Also, when the plate separation is reduced to half, the capacitance doubles since C ∝ 1/d where C is capacitance and d separation between the plates. Since the capacitance doubles, the new reactance XC' is twice the initial reactance XC. So, XC' = 2XC. Thus the new impedance is thus
Z' = √[R² + (R - XC')²]
Z' = √[R² + (R - 2XC)²]
The new current is I' = V/Z' = V/√[R² + (R - 2XC)²]
Since the current doubles, I' = 2I.
V/√[R² + (R - 2XC)²] = 2V/√[R² + (R - XC)²]
1/√[R² + (R - 2XC)²] = 2/√[R² + (R - XC)²]
√[R² + (R - XC)²] = 2√[R² + (R - 2XC)²]
squaring both sides, we have
[R² + (R - XC)²] = 4[R² + (R - 2XC)²]
expanding the brackets, we have
[R² + R² - 2RXC + XC²] = 4[R² + R² - 4RXC + 4XC²]
[2R² - 2RXC + XC²] = 4[2R² - 4RXC + 4XC²]
2R² - 2RXC + XC² = 8R² - 16RXC + 16XC²
collecting like terms, we have
16RXC - 2RXC + XC² - 16XC² = 8R² - 2R²
14RXC - 15XC² = 6R²
15XC² - 14RXC + 6R² = 0
Using the quadratic formula to find XC, we have
\(XC = \frac{-(-14R) +/- \sqrt{(-14R)^{2} - 4 X 15 X 6R^{2} } }{2 X 15}\\= \frac{-(-14R) +/- \sqrt{196R^{2} - 360R^{2} } }{30}\\ \\= \frac{14R +/- \sqrt{- 164R^{2} } }{30}\\ \\= \frac{14R +/- 12.81Ri }{30}\\\\= 0.467R +/- 0.427Ri\)
Since it is capacitive, we take the negative part.
So, Xc = (0.467 - 0.427j)R
Match each type of energy with the correct definition.
Instructions
Chemical energy
Electrostatic energy
Thermal energy
Kinetic energy
Potential energy
- Energy associated with the random motion of atoms and molecules
- Energy stored in the structure of a compound
- Energy resulting from the interaction of charged particles
Chemical energy - Energy stored in the structure of a compound.
Electrostatic energy - Energy resulting from the interaction of charged particles.
Thermal energy - Energy associated with the random motion of atoms and molecules
Kinetic energy - Energy associated with the movement of an object.
Potential energy - Energy stored in an object due to its position are the definitions for various types of energy.
What is Thermal energy?Thermal energy (also known as heat energy) is the energy generated by the movement of molecules in a substance. This energy is released when the molecules of a substance vibrate, move, and interact.
Examples of thermal energy include the heat generated from a campfire, the warmth of the sun, and the heat produced by an electric heater.
Types of thermal energy include:
1. Radiant energy: This type of thermal energy is created by the sun and other heat sources that emit electromagnetic radiation and is transferred through space.
2. Conduction energy: This type of thermal energy is created when two objects that have different temperatures come into contact, and heat is transferred from the hotter object to the cooler object.
3. Convection energy: This type of thermal energy is created when hot air rises and cold air falls, causing movement of the air and heat transfer.
4. Adiabatic energy: This type of thermal energy is created when a gas or liquid is compressed or expanded, and heat is transferred as a result of the change in pressure.
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state the Newton 2nd law of motion and also prove that F= ma
Explanation:
F = ma is the formula of Newton's Second Law of Motion. Newton's Second Law of Motion is defined as Force is equal to the rate of change of momentum. For a constant mass, force equals mass times acceleration.
...
1 point Which two sentences best state the central ideas of Wiesel's speech? Remember those who were killed at Auschwitz. Allow memories of Auschwitz to help prevent similar tragedies. Understand that what happened at Auschwitz could never be repeated. Choose to move on from Auschwitz and embrace a hopeful future. Pay honor to those who survived Auschwitz.
The two sentences that best state the central ideas of Wiesel's speech are:
Remember those who were killed at Auschwitz.Allow memories of Auschwitz to help prevent similar tragedies.Elie Wiesel's speech
Elie Wiesel's speech focuses primarily on the Holocaust and the atrocities that were committed during that time, particularly at Auschwitz. The central ideas of his speech are:
Remember those who were killed at Auschwitz: Wiesel emphasizes the importance of remembering and honoring the memory of those who died at Auschwitz. He believes that we must never forget the victims of the Holocaust, and we must ensure that their memory lives on.Allow memories of Auschwitz to help prevent similar tragedies: Wiesel believes that by remembering the horrors of Auschwitz, we can work to prevent similar tragedies from occurring in the future. He believes that it is our duty to learn from the past and use our knowledge to create a better world.More on Wiesel's speech can be found here: https://brainly.com/question/30338903
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An aeroplaneflying above groundnd490m with 100 meterpersecond how far on ground it will strike
The airplane will strike the ground at a horizontal distance of 490 meters.
To determine how far the airplane will strike on the ground, we need to consider the horizontal distance traveled by the airplane during its flight.
The horizontal distance traveled by an object can be calculated using the formula:
Distance = Speed × Time
In this case, the speed of the airplane is given as 100 meters per second and the time it takes to cover the distance of 490 meters is unknown. Let's denote the time as t.
Distance = 100 m/s × t
Now, to find the value of time, we can rearrange the equation as follows:
t = Distance / Speed
t = 490 m / 100 m/s
t = 4.9 seconds
Therefore, it takes the airplane 4.9 seconds to cover a horizontal distance of 490 meters.
Now, to calculate the distance on the ground where the airplane will strike, we can use the formula:
Distance = Speed × Time
Distance = 100 m/s × 4.9 s
Distance = 490 meters
It's important to note that this calculation assumes a constant speed and a straight flight path. In reality, various factors such as wind conditions, changes in speed, and maneuvering can affect the actual distance traveled by the airplane.
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A 5KW immersion heater is used to heat water for a bath. It takes 40 minutes to heat up the water how much electrical energy has been converted into thermal energy?
If a 5KW immersion heater is used to heat water for a bath. It takes 40 minutes to heat up the water then 3.33 KWh of electrical energy has been converted into thermal energy.
What is thermal energy?It can be defined as the form of the energy in which heat is transferred from one body to another body due to their molecular movements, thermal energy is also known as heat energy.
As given, It takes 40 minutes to heat up the water
60 minutes = 1 hr
1 minute = 1/60
40 minutes = 40/60 hr
energy = power × time
= 5 ×2/3
=3.33 KWh
Thus, if the bath water is heated with a 5KW immersion heater then 3.33 KWh of electrical energy is converted into thermal energy after 40 minutes of heating the water.
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The time required for one complete cycle of a mass oscillating at the end of a spring is 0.40 s. What is the frequency of oscillation?
Answer:
the frequency of the oscillation is 2.5 Hz.
Explanation:
Given;
time to complete the oscillation, t = 0.4 s
number of oscillations, n = 1
The frequency of the oscillation is calculated as;
\(F = \frac{n}{t} \\\\F = \frac{1}{0.4} \\\\F = 2.5 \ Hz\)
Therefore, the frequency of the oscillation is 2.5 Hz.
31. Box A of mass m sits on the floor of an elevator, with box B of mass 2 m on top of it, as shown in the figure above. The elevator is moving upward and slowing down. F_A is the magnitude of the force exerted on box A by box B, F_B is the magnitude of the force exerted on box B by box A, and F_g is the magnitude of the gravitational force exerted on box B. Which of the following ranks the forces in order of increasing magnitude?
(A) F_B=F_A=F_g
(B) (F_B=F_A)
(C) F_B<(F_A=F_g)
(D) F_g
The rank of the forces in order of increasing magnitude is Fg < FB < FA.
option D is the correct answer.
What is the net force on elevator moving upwards?The net force on an elevator moving upwards is determined by the force of gravity acting downwards and the normal force of the elevator acting upwards.
That is, the two forces acting on a person when he is moving in an elevator are:
the force of gravity and the normal force by the elevator.When the two forces are of equal magnitude, the elevator will be static or moving with constant velocity.
When the magnitude of the two force are unequal, then the elevator will be accelerating upward or downward.
Since the elevator is moving upwards, it implies that the normal force is greater than the force of gravity acting downwards.
the normal force = FB + FAForce of gravity = FgThe box at the bottom will feel much heavier due to the weight of box and gravity acting downwards.
FA = FB + Fg
Thus, the force exerted on box A is the greatest, followed by the force on box B and then, the smallest is force of gravity.
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Which option correctly matches the chemical formula of a compound with its name?
A. N2O3, dinitrogen trioxide
B. N2O, trinitrogen dioxide
C. N2O, dinitrogen trioxide
D. N2O3, trinitrogen dioxide
Answer:
A is indeed correct
Explanation:
just did the question
The option that correctly matches the chemical formula of a compound with its name is N₂O₃ dinitrogen trioxide.
What is dinitrogen trioxide?
Dinitrogen trioxide is one of the simple nitrogen oxide. The chemical compound formula of Dinitrogen trioxide N₂O₃.
That is, it consists of 2 molecules of nitrogen, hence the prefix "Di" and 3 molecules of oxygen given the prefix tri.
Thus, the option that correctly matches the chemical formula of a compound with its name is N₂O₃ dinitrogen trioxide.
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Jaden has a mass of 45 kilograms on Earth. Jupiter has more gravity than the Earth. On Jupiter, Jaden's mass will be O more than 45 kilograms o less than 45 kilograms 45 kilograms
Answer:
m = 45 kg
Explanation:
Given that,
Mass of Jadan, m = 45 kg on Earth
Jupiter has more gravity than the Earth.
Mass of an object is the amount of matter contained inside an object. We need to tell about the mass of Jaden on Jupiter. The mass of the object remains same everywhere.It does not change in any of the location.
Hence, Jaden's mass will be 45 kg on Jupiter.