To calculate the pressure required to reduce the edge length of a solid copper cube from 85.5 cm to 85 cm, we can use the concept of bulk modulus.
K = -V(ΔP/ΔV)
ΔV = (ΔL)^3
The bulk modulus (K) relates the change in pressure (ΔP) to the fractional change in volume (ΔV/V) of a material:
K = -V(ΔP/ΔV)
Here, we are given the change in length (ΔL) as 85.5 cm - 85 cm = 0.5 cm. The original length (L) is 85.5 cm. Since the copper cube is a cube, the change in volume (ΔV) is equal to the change in length cubed:
ΔV = (ΔL)^3
Substituting these values into the equation, we get:
K = -V(ΔP/ΔV)
K = -V(ΔP/(ΔL)^3)
K = -(L^3)(ΔP/(ΔL)^3)
K = -(85.5 cm)^3(ΔP/(0.5 cm)^3)
K = -85.5^3(ΔP/0.125)
Now, since we know the bulk modulus of copper, we can substitute its value into the equation:
140 GPa = -85.5^3(ΔP/0.125)
Solving for ΔP, we can rearrange the equation:
ΔP = (140 GPa * 0.125)/(-85.5^3)
Evaluating this expression, we find:
ΔP ≈ -1.609 GPa
Therefore, approximately 1.609 GPa of pressure must be applied to reduce the edge length of the copper cube from 85.5 cm to 85 cm.
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A/An _____ is a type of electric circuit in which there is a single current path.1) electric current2) conventional circuit3) parallel circuit4) series circuit
An electric circuit consists of a completer closed path (or paths) for electric current. A series circuit is a type of electric circuit in which there is a single current path.
Hence, the correct option is (2)
a ray of light enters the top of a glass of water at an angle of 44° with the vertical. what is the angle between the refracted ray and the vertical?
When a ray of light enters a medium like water with a different refractive index, it bends due to the change in the speed of light. This phenomenon is called refraction.To find the angle between the refracted ray and the vertical, we can use Snell's law, which states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the refractive indices of the two media:
n₁sinθ₁ = n₂sinθ₂
where, θ₁ is the angle of incidence
θ₂ is the angle of refraction
Where, n₁ is the refractive index of air (assumed to be 1), θ₁ is the angle of incidence (44°) and n₂ is the refractive index of water (1.33). We can solve for θ₂, which is the angle between the refracted ray and the vertical:
sinθ₂ = (n₁/n₂)sinθ₁
sinθ₂ = (1/1.33)sin44°
sinθ₂ = 0.501
θ₂ = sin⁻¹(0.501)
θ₂ = 30.5°
Therefore, the angle between the refracted ray and the vertical is approximately 30.5°.
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An airplane needs to reach a velocity of 222 km/h to take off. on a 2000 m runway, what is the minimum acceleration necessary for the plane to take flight?
Therefore, the minimum acceleration necessary for the plane to take flight is approximately 0.9499 m/s².
To find the minimum acceleration necessary for the plane to take flight, we can use the kinematic equation:
v² = u² + 2as
Where:
v = final velocity (222 km/h)
u = initial velocity (0 km/h, assuming the plane starts from rest)
a = acceleration (what we need to find)
s = distance (2000 m)
First, we need to convert the velocity from km/h to m/s. Since 1 km/h is equal to 1000 m/3600 s, the final velocity is:
v = 222 km/h * (1000 m/3600 s) = 61.67 m/s
Substituting the given values into the kinematic equation:
(61.67 m/s)² = (0 m/s)² + 2a * 2000 m
Simplifying the equation:
3799.99 m²/s² = 4000a m
Dividing both sides of the equation by 4000 m:
a = 3799.99 m²/s² / 4000 m
Simplifying:
a = 0.9499 m/s²
Therefore, the minimum acceleration necessary for the plane to take flight is approximately 0.9499 m/s².
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Average Acceleration
1. Turner’s treadmill runs with a velocity of −1.2 m/s and speeds up at regular intervals during a half-hour workout. After 25 min, the treadmill has a velocity of −6.5 m/s. What is the average acceleration of the treadmill during this period?
The average acceleration of the treadmill during this period is -0.0035 m/s².
What is average acceleration?
The average acceleration of an object refers to the rate at which the velocity of the object changes with time.
The average acceleration of the treadmill during this period is calculated as follows;
a = Δv/Δt
where;
Δv is change in velocityΔt is change in timea = (v2 - v1) / (t)
The given parameters;
final velocity, v2 = -6.5 m/sinitial velocity, v1 = -1.2 m/stime, t = 25 min = 1,500 secondsSubstitute the given parameters and solve for the average acceleration.
a = (-6.5 - - 1.2) / 1500
a = (-6.5 + 1.2) / 1500
a = -0.0035 m/s²
Thus, the average acceleration of the treadmill during this period is -0.0035 m/s².
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A postman needs to deliver a parcel to Peter's house 5
kilometers away from the post office. He first rides a bike for 4
kilometers, and then walks the remaining 1 km. It takes the
postman 1 hour to reach Peter's house. What is the postman's
average speed (in km/hr)?
Answer: 5
Explanation:
Sorry, just for clarification is this d? Thank you!
B
Explanation:
I suggest option B for you but you could research more on it
How does the number of fins affect energy transfer?
Answer:
Because the more coolant passed through the fins, the more energy can be emitted
PLS HELP!!
As an object is falling downward the velocity _____________.
A. increases
B. decreases
C. remains constant
The law of conservation of energy states that energy cannot be created or
destroyed, only converted into other forms.
True or false
Answer:
TrueExplanation:
Yes, According to law of conservation of energy, it has been said that energy cannot be created or destroyed.
Lab: Kinetic Energy What is the purpose of the lab, the importance of the topic, and the question you are trying to answer? What is your hypothesis (or hypotheses) for this experiment? What methods are you using to test this (or each) hypothesis? Section II: Data and Observations Locate the data and observations collected in your lab guide. What are the key results? How would you best summarize the data to relate your findings? Do you have quantitative data (numerical results or calculations)? Do you have qualitative data (written observations and descriptions)? How can you organize this date for your report? Section III: Analysis and Discussion What do the key results indicate? If you constructed graphs, what trends do they indicate in your data? Were there any problems with the experiment or the methods? Did you have any surprising results? Section IV: Conclusions What do the results tell you about your hypothesis(es)? How do the data support your claim above? If you could repeat the experiment and make it better, what would you do differently and why?
Pls hurry!!!!!!!! Worth 100 pts!
A cube has a volume of 583cm^3. What is the length of one side?
Answer:
shdkahfkkfrgs
Explanation:
:)
If Alex wishes to rotate his skateboard, then he must apply a- pause before bearing down on the board.- torque- rotational maneuver
If Alex wishes to rotate his skateboard, he must apply a torque where the axis is the central axis of the skateboard.
If Alex wishes to rotate his skateboard, he must apply a torque. Torque is the twisting force that causes an object to rotate around an axis. In this case, the axis is the central axis of the skateboard.
To apply torque, Alex needs to apply a force to the skateboard that is perpendicular to the axis of rotation. This force will cause the skateboard to start rotating. However, just applying a force may not be enough to complete the rotation. Alex also needs to control the direction and speed of the rotation.
To do this, he may need to pause before bearing down on the board. This pause allows him to position his body and feet properly for the maneuver. Once he is in the right position, he can then apply the necessary force to initiate the rotation.
The rotational maneuver involves shifting the weight of the body and the position of the feet while the skateboard is rotating. By controlling the direction and speed of the rotation with the torque, Alex can perform various types of rotational maneuvers such as a kickflip, heelflip, or 360 spin.
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The gravitational acceleration on Earth is 9.8 m/s2. What is the weight of a car on Earth (to the nearest whole number) if it has a mass of 1360 kg? 14 N 139 N 1333 N 13,328 N
Weight = (mass) x (gravitational acceleration where the mass is)
Weight = (1360 kg) x (9.8 m/s²)
Weight = 13,328 kg-m/s²
That's 13,328 Newtons
Given:-
Mass (m) of the car = 1360 kgAcceleration due to gravity (g) = 9.8 m/s²To Find: Weight (W).
We know,
W = mg
where,
W = Weight,m = Mass &g = Acceleration due to gravity.Thus,
W = (1360 kg)(9.8 m/s²)
→ W = 13,328 N (D)
Enrique is given information about a satellite orbiting Earth. R = 3. 8 Ă— 108 m T = 18 days In order to calculate the tangential speed of the satellite, what should Enrique do first? convert the radius to kilometers convert the orbital period to seconds find the square root of the radius find the square root of the orbital period.
The first step that Enrique must take in order to calculate the tangential speed of the satellite is to convert the period from days to seconds.
We know that the SI unit of speed is meter per second and now, we with to obtain the tangential speed of the satellite.
Since the period is given in days, the first step is to convert the period from days to seconds.
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Answer:
convert the orbital period to seconds
Explanation:
I got it right on edge 2022
if a ball is thrown into the air with a velocity of 44 ft/s, its height in feet t seconds later is given by y
The ball that is thrown into the air with a velocity of 44 ft/s, its height in feet t seconds later is given by the following equation:
y=44 ft/s * t - (32.17 ft/s² * t²/2)
The height in (ft) at a time (t) of a body that has been thrown with a certain velocity and is in vertical motion is given by the following equation:
y = vi * t - (g* t²/2)
Where:
y = heightvi = initial velocityg = gravityt = time
Information about the problem:
vi = 44 ft/sg = 32.17 ft/s²y =?t = tApplying the height formula we get:
y = vi * t - (g* t²/2)
y = 44 ft/s * t - (32.17 ft/s² * t²/2)
What is the vertical upward launch?It is the movement described by an object that has been thrown vertically upwards in which the height and the effect of the force of the earth's gravity on the thrown object are considered.
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A student throws a rock upwards. The rock reaches a maximum height 2.4 seconds after it is released.
How fast was the rock thrown?
The rock reaches a maximum height in 2.4 seconds which implies the rock was thrown at a speed of 24m/s.
Let:
'u' be the initial velocity of rock thrownThe upward direction is considered as '+'veUsing the First equation of motion:
v = u + at
0 = u + (-10)(2.4)
0 = u + (- 24)
u = 24m/s
The First equation of motion establishes a relation between velocities and time. With the provided information, the most suitable equation which can be used to derive the answer is the First equation of motion.
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- The gravitational force on a 352 kg satellite is -2100 N. Find its
distance from Earth's center.
Answer:
8173.8 km
Explanation:
Fg=G(M*m/r^2)
r=sqrt(G*M*m/Fg)
G=6.6743*10^-11
M(earth)=5.972*10^24kg
M(object)=352kg
Fg=-2100N
r=sqrt((6.6743*10^-11)*(5.972*10^24kg)*(352)/-2100)
r=8173808m
r=8173.8km
According to Newton's calculations, gravity reduces to a fourth of what it was at the surface of the Earth if the distance from the planet's centre is doubled. At the Earth's surface, a satellite with a mass of 1,000 kg exerts a weight force of 9,800 N.
What gravitational force act on satellite?Satellites are pulled toward Earth by its gravity, even when they are hundreds of kilometres distant. The satellite doesn't fall back to Earth; instead, it travels into orbit above it due to gravity and the velocity it acquired during launch into space.
A satellite that is in a steady circular orbit around the Earth is always falling. It encounters a gravitational pull toward the centre of Earth as it orbits, which forces it to shift course and “fall” towards Earth.
Therefore, Since gravity is the only force acting on a satellite in circular orbit, the centripetal force and gravity must be equal: Fc = Fg.
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What would make oppositely charged objects attract each other more?
O increasing the positive charge of the positively charged object and increasing the negative charge of the
negatively charged object
O decreasing the positive charge of the positively charged object and decreasing the negative charge of the
negatively charged object
O increasing the distance between the positively charged object and the negatively charged object
O maintaining the distance between the positively charged object and the negatively charged object
Answer:
To make oppositely charged objects attract each other more, the most effective option would be to decrease the distance between the positively charged object and the negatively charged object. When the distance between the objects decreases, the electric force of attraction between them increases according to Coulomb's law.
Therefore, the correct option is:
Decreasing the distance between the positively charged object and the negatively charged object.
Explanation:
A certain radioactive isotope has a half-life of approximately 1150 years. How
many years would be required for a given amount of this isotope to decay to
25% of that amount?
If the isotope has a half-life of 1150 years, this means that every 1150 years the amount of the isotope is halved. After one half-life, the amount is reduced to 1/2, after two half-lives it is reduced to 1/4, after three half-lives it is reduced to 1/8, and so on.
To determine how many years are required for the isotope to decay to 25% of its original amount, we need to determine how many half-lives it takes to get from 100% to 25%.
25% is the same as 1/4, so we need to determine how many times we need to halve the original amount to get to 1/4.
1/4 = (1/2)^n, where n is the number of half-lives
Solving for n:
n = log(1/4) / log(1/2)
n = 2
This means that it takes two half-lives for the isotope to decay to 25% of its original amount.
Since the half-life is approximately 1150 years, the time required for two half-lives is approximately:
2 x 1150 years = 2300 years
Therefore, it would take approximately 2300 years for a given amount of this isotope to decay to 25% of that amount.
what is the difference between serious and parallel circuit
An 0.8 kg cart rolls down a frictionless hill of height 0.32m. At the bottom of the holl the cart rolls on a flat surface., which exerts a frictional force if 2 n on the cart. How far does the cart roll on the flat surface before it comes to a stop
The distance travelled by the cart on the flat surface before it comes to a stop is 1.25 m.
What is the acceleration of the cart?
The acceleration of the cart is determined by applying Newton's second law of motion as shown below.
F = ma
a = F/m
a = 2 N / 0.8 kg
a = 2.5 m/s²
The velocity of the cart at the bottom of the hill is calculated as;
u = √2gh
u = √(2 x 9.8 x 0.32)
u = 2.5 m/s
The distance travelled by the cart before stopping;
v² = u² - 2as
where;
v is the final velocity of the cart = 0u is the initial velocity = 2.5 m/sa is the accelerations is the distance travelled2as = u²
s = u²/2a
s = (2.5²) / (2 x 2.5)
s = 1.25 m
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can someone tell me what the quote means
Answer:
What the quote means is that if a person contains so much hatred they would be able to light up the whole world beacuse they hate so much and love so little.
Answer:
Explanation: lifehack.org explains this quote as, "Passions or emotions can fire up enough energy to upset events. It is better to be able to deal with negative emotions and make them count in a positive way. Rather than allow your hate to be dominant, try and focus on making your love an umbrella above everything you do."
PLEASE HELP THIS IS IMPORTANT!
the more mass an object has the more damage it can cause. true or false?
Yes it's true
compare a falling feather vs a falling rock
Answer:
It's true. Mass is directly proportional to force so more mass means more force applied which causes more damage.
which factors cause transitions between the solid and liquid state?
Answer: A solid can be converted to a liquid by heating, a liquid can be converted to a solid by cooling.
A cup of coffee with cooling constant k = -0.09 is placed in a room temperature of 18°C. If the coffee is served at 93 °C, how long will it take to reach a drinking temperature of 73 °C?
The time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.
The cooling law is given by:
$$\frac{dQ}{dt}=-k(T-T_0)$$
where Q is the heat in the object, t is the time taken, T is the temperature of the object at time t, T0 is the temperature of the environment and k is a constant known as the cooling constant.
We need to find the time it takes for the coffee to reach a drinking temperature of 73°C given that its initial temperature is 93°C.
Therefore, we need to find the time it takes for the coffee to cool down from 93°C to 73°C when placed in a room temperature of 18°C.
Let’s assume that the heat energy that is lost by the coffee is equal to the heat energy gained by the environment. We can express this as:
dQ = - dQ where dQ is the heat energy gained by the environment.
We can substitute dQ with C(T-T0) where C is the specific heat capacity of the object.
We can rearrange the equation as follows:
$$-\frac{dQ}{dt}=k(T-T_0)$$
$$-\frac{d}{dt}C(T-T_0)=k(T-T_0)$$
$$\frac{d}{dt}T=-k(T-T_0)$$
The differential equation above can be solved using separation of variables as follows:
$$\frac{d}{dt}\ln(T-T_0)=-k$$
$$\ln(T-T_0)=-kt+c_1$$
$$T-T_0=e^{-kt+c_1}$$
$$T=T_0+Ce^{-kt}$$
where C = e^(c1).
We can now use the values given to find the specific value of C which is the temperature difference when t=0, that is, the temperature difference between the initial temperature of the coffee and the room temperature.
$$T=T_0+Ce^{-kt}$$
$$73=18+C\cdot e^{-0.09t}$$
$$55=C\cdot e^{-0.09t}$$
$$C=55e^{0.09t}$$
$$T=18+55e^{0.09t}$$
We can now solve for the value of t when T=93 as follows:
$$93=18+55e^{0.09t}$$
$$e^{0.09t}=\frac{93-18}{55}$$
$$e^{0.09t}=1.3636$$
$$t=\frac{\ln(1.3636)}{0.09}$$
Using a calculator, we can find that the time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.
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Suppose that an arrow is shot straight up and that its height as a function of time is given by the function , where is measure and feet, in seconds and corresponds to the instant that the arrow is released. What is the maximum height of the arrow and how many seconds does it take to get there
The maximum height of the arrow can be determined by finding the vertex of the quadratic function. The time it takes to reach the maximum height is given by the x-coordinate of the vertex.
The height of the arrow as a function of time can be represented by the equation\(h(t) = -16t^2 + vt + h_0\), where v is the initial velocity and h0 is the initial height. In this case, since the arrow is shot straight up, the initial velocity is in the opposite direction of gravity and is negative.
To find the maximum height, we need to find the vertex of the parabolic function. The x-coordinate of the vertex is given by \(t = -b/2a\), where a = -16 and b = v. Since the arrow is shot straight up, the initial velocity v is negative.
Using the formula \(t = -b/2a\), we can calculate the time it takes for the arrow to reach its maximum height. Once we have the time, we can substitute it back into the height function h(t) to find the maximum height.
In conclusion, the maximum height of the arrow can be found by substituting the time into the height function, and the time it takes to reach the maximum height is given by the x-coordinate of the vertex of the quadratic function.
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What is the difference between kinematics and dynamics?.
Which advantage of stored digital data could also be a disadvantage?
A. Stored digital data are reliable.
B. Systems have been developed to protect stored digital data.
OC. Information in stored digital data can be quickly changed.
D. Stored digital data can be copied perfectly time after time.
The advantage of stored digital data that could also be a disadvantage is:
C. Information in stored digital data can be quickly changed.
What is Digital Data?
Digital data is any information that is stored or transmitted in digital form, usually as a series of binary digits (bits). This includes text, images, audio, video, and other types of data that can be represented using a series of 0s and 1s. Digital data is often created and processed using computers and other digital devices, and can be stored and transmitted using various types of digital storage media and communication channels.
While the ability to quickly change information in stored digital data can be advantageous for updating or correcting errors, it can also be a disadvantage if the information is changed inappropriately or maliciously. This can lead to inaccurate or false information being disseminated, potentially causing harm or confusion. Additionally, the ability to quickly change information can make it difficult to verify the accuracy or authenticity of the data. Therefore, while the ability to quickly change information in stored digital data can be beneficial, it is important to use caution and employ proper security measures to ensure the accuracy and integrity of the data.
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Light travels (fastest, slowest) in media with a lower index
of refraction value.
Fastest
Light travels fastest in media which are least optically dense. The index of refraction value provides a relative measure of the optical density of a material. The higher the index of refraction value, the more optically dense a material is and the slower that light will travel in that material.
Which statement best describes what happens during a solar eclipse?
So the best way to show this is with a diagram
As shown here, the sun's light is blocked by the moon. This prevents the Earth from getting the sun's light
So the correct answer is A
Answer:
The answer is A: Light from the sun is blocked from earths surface by the moon
Explanation:
hope this helps