a 0.309-kg mass is attached to a spring with a force constant of 55.0 n/m.if the mass is displaced 0.270 m from equilibrium and released, what is its speed when it is 0.127 m from equilibrium?
Answers
Speed of 0.309 kg mass when it is 0.127m away from the equilibrium is 3.233 m/s.
Explanation: We can use conservation of energy to find the speed of the mass when it is 0.127 m from equilibrium.
Initially, the mass is at a displacement of x = 0.270 m from equilibrium, so the initial potential energy stored in the spring is:
U_i = (1/2)kx²
= (1/2)(55.0 N/m)(0.270 m)²
= 2.086 N·m
When the mass is at a displacement of x = 0.127 m from equilibrium, the potential energy stored in the spring is:
U_f = (1/2)kx²
= (1/2)(55.0 N/m)(0.127 m)²
= 0.477 N·m
At this point, all of the potential energy stored in the spring has been converted to kinetic energy of the mass, so:
U_i - U_f = (1/2)mv²
where m is the mass of the object and v is its speed.
Substituting the values, we get:
2.086 N·m - 0.477 N·m = (1/2)(0.309 kg)v²
1.609 N·m = (0.154 kg)v²
v² = (1.609 N·m) / (0.154 kg)
= 10.4545 m² /s²
v = sqrt(10.4545 m² /s² )
= 3.233 m/s (rounded to three significant figures)
Therefore, the speed of the mass when it is 0.127 m from equilibrium is approximately 3.233 m/s.
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Related Questions
In order for an object to have a perfectly circular orbit, what one thing must occur?
An object must have the exact mass to orbit in a circle.
An object must have the exact speed to achieve the circular orbit.
An object must have enough speed to create escape velocity.
Answers
In order for an object to have a perfectly circular orbit, an object must have the exact speed to achieve the circular orbit.
What is a circular orbit?A circular orbit is a circular path which an object continuously follow in the course of its movement.
The earth and planets have a circular orbit around the sun.
The circular orbit is maintained by a balance between centripetal and centrifugal forces.
Therefore, in order for an object to have a perfectly circular orbit, an object must have the exact speed to achieve the circular orbit.
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A marble block has dimensions of 0.4m x 0.4m x 2m. Knowing that the density of marble is 2,400 kg / m3, calculate the mass of the block and answer:
Um bloco de mármore tem dimensões 0,4m x 0,4m x 2m. Sabendo que a densidade do mármore é 2 400 kg/m3, calcule a massa do bloco e responda:
Answers
So to find volume, just multiple the length (0.4m) width (0.4m) and height (2m) and you will get 0.32m as the volume. Now multiple this volume with your given density of 2,400 kg/m and you will get 768 kg as the mass of the marble block.
Final answer: 768 kilograms (kg) as mass of the marble block.
1. Powerful tugboats are capable of providing 8. 17 x 10^6 W of power. How much work does one tugboat do in 12. 0 s?
Answers
Work done is a measure of the energy transferred to or from an object by the application of a force along a displacement. It is defined as the product of the magnitude of the force applied to an object and the distance over which the force is applied in the direction of the force.
To calculate the work done by a tugboat in 12.0 seconds with a power of 8.17 x 10^6 W, we can use the formula:
Work = Power x Time
Substituting the given values, we get:
Work = 8.17 x 10^6 W x 12.0 s
Work = 98.04 x 10^6 J
Therefore, one powerful tugboat can do 98.04 x 10^6 joules of work in 12.0 seconds.
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based on the data collected and the hypothesis, what happens to the diffraction angle when the wavelength is increased?
Answers
The wavelength will be longer, increasing the diffraction angle.
Define the wavelength?The separation between two successive wave crests or troughs is known as a wavelength.
Here are some wavelength illustrations: Yellow Light, for instance. All visible light has a wavelength between 400 and 700 nanometers (nm).
Radio waves, light waves, and infrared (heat) waves are examples of electromagnetic radiation that flow through space in distinct patterns.
The symbol for the wavelength in the SI is often the letter m. Additionally, multiples or fractions of a metre are employed when calculating wavelength. The use of exponential powers of 10 is noteworthy when wavelengths are a significant feature.
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Answer:
Simple Response: The diffraction angle of the waves is approximately equal to the wavelength divided by the gap width. Therefore, increasing the wavelength will increase the diffraction angle.
Explanation:
The density of a metal bar is 15. 0 g/cm3. A student drills a hole of volume 2. 0 cm3
in the bar. What
is its new density?
A 13. 0 g/cm3
B 15. 0 g/cm3
C 18. 0 g/cm3
D 30. 0 g/cm3
Answers
The new density of the metal bar can be determined by using the formula for density, which is the mass divided by the volume.
Since the volume of the bar remains the same and only a hole is drilled, the mass of the bar does not change. Therefore, the new density of the metal bar is still 15.0 g/cm³.
The density of a substance is defined as its mass per unit volume:
Density = Mass / Volume
Given that the density of the metal bar is 15.0 g/cm³, we can assume that the mass and volume of the bar are proportional. Therefore, if a hole of volume 2.0 cm³ is drilled in the bar, the remaining volume of the bar is reduced by 2.0 cm³.
However, the mass of the bar remains the same because only a hole is drilled, and the mass of the removed material is negligible compared to the mass of the entire bar. Therefore, the numerator of the density formula (mass) does not change.
Since the mass remains the same and the volume decreases by 2.0 cm³, the ratio of mass to volume, which is the density, remains unchanged. Thus, the new density of the metal bar is still 15.0 g/cm³.
Therefore, the correct answer is B) 15.0 g/cm³.
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What is the best description of sound waves?
A. A source vibrates up and down, causing air molecules to move up and down perpendicular to the direction the wave is transmitted.
B. A source vibrates back and forth, causing air molecules to move back and forth in the same direction that the wave is transmitted.
C. A source vibrates up and down and back and forth, causing air molecules to move in a circular motion as the wave is transmitted.
D. A source ejects a ring of high-velocity air molecules that travel from the source to a listener.
Answers
Answer:
If im right the answer should be D
Hi, please help! •_•
One workman is measured as having a power of 528W. His weight is 800N. He can develop the same power climbing a ladder, whose rungs are 30cm apart. How many rungs can he climb in 5s?
Answers
Answer:
He can climb 11 rungs
Explanation:
Power = 528W, Force = 800N, Time= 5s Total Distance moved = 30x cm or 0.3x m, where x is the number of rungs he climbed
Power = Work done/time
Work done = Power × time
= 528 × 5
= 2640Joules
Also Work done = Force × total distance moved
Total Distance moved = Work done/force
0.3x = 2640/800
0.3x = 33
x = 3.3/0.3
x = 11
An arrow is released toward a westward target .025 kilometers away. The arrow is traveling 88 m/s to the west. How
long is the arrow in the air after being released from the bow before hitting the target?
Answers
2.84sec long is the arrow in the air after being released from the bow before hitting the target.
What is time?Time is the ongoing progression of existence and things that happen in what seems to be an irrevocable order from the past, present, and forward into the future.
It is a quantity that is a part of several measures that are used to compare the length of events or the gaps between them, to compare how long they last, to order events, and to measure how quickly things change in the actual world or in our conscious experience.
time= distance/ velocity
=250/ 88
=2.84sec
distance = 1/2×g×t²
= 1/2×10×2.8²
=0.53m
Therefore, 2.84sec long is the arrow in the air after being released from the bow before hitting the target.
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During which month is the bacteria population just under 1 million?
A. May
B. January
C. July
D. March
Answers
A box is pushed horizontally with constant speed across a rough horizontal surface.
Which of the following must be true?
Answers
Answer:
what is the answers? so i can't answer.
Explanation:
The statement that is true as regards movement of the box when pushed horizontally with constant velocity is given by;
Option D; The friction is equal to the applied force
The missing options are;
a) The friction is less than the applied force
b) There is no friction acting on the box
c) The friction is greater than the applied force
d) The friction is equal to the applied force
We are told that the box is pushed with constant speed. We know that at constant speed, acceleration is equal to zero. If acceleration is zero, the 2 forces acting on the box will be the applied force and the frictional force from the rough horizontal surface.
Now, if the frictional force was less than the applied force, it means the velocity of the box will gradually be increasing but we are told the velocity is constant.
Also, if the frictional force is more than the applied force, it means the object will not move because the force of resistance is more than the applied force.Finally, if the frictional force is equal to the applied force, then the box will move with a constant motion.
Thus, in conclusion the friction is equal to the applied force.
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A ball is attached to the end of a string it swung at a vertical circle of three of 0.33M what is the minimum velocity that the ball must have to make it around the circle
Answers
Answer:
To make it around the circle, the tension in the string must provide the necessary centripetal force to keep the ball moving in a circle. At the top of the circle, the tension in the string must provide all the force to keep the ball moving in a circle. At the bottom of the circle, the tension in the string must provide the centripetal force in addition to the force of gravity.
We can use the centripetal force formula to solve for the minimum velocity: F_c = m * a_c
where F_c is the centripetal force, m is the mass of the ball, and a_c is the centripetal acceleration.
At the top of the circle, the centripetal force is equal to the tension in the string: F_c = T
where T is the tension in the string.
At the bottom of the circle, the centripetal force is equal to the sum of the tension in the string and the force of gravity:
F_c = T + mg
where m is the mass of the ball, g is the acceleration due to gravity (9.8 m/s^2), and T is the tension in the string.
The centripetal acceleration is given by: a_c = v^2 / r
where v is the velocity of the ball and r is the radius of the circle.
Since the circle has a radius of 0.33 m, we can substitute this into the equation for a_c: a_c = v^2 / 0.33
Combining these equations, we get:
At the top of the circle: T = m * v^2 / 0.33
At the bottom of the circle: T + mg = m * v^2 / 0.33
We can solve for the minimum velocity by using these two equations to eliminate the tension in the string: m * v^2 / 0.33 + mg = m * v^2 / 0.33
Simplifying this equation, we get: v = sqrt(0.33 * g)
Plugging in the values, we get: v = sqrt(0.33 * 9.8) = 1.81 m/s
Therefore, the minimum velocity that the ball must have to make it around the circle is 1.81 m/s
which of the following best describes the english colonists in north america prior ot the french and indian war?
Answers
The best description of English colonists in North America prior to the French and Indian War would be:
English colonists in North America prior to the French and Indian War were primarily seeking economic opportunities and religious freedom. Many English colonists arrived in North America during the 17th century in search of new lands, resources, and trade routes. They established colonies along the eastern seaboard, including regions such as New England, the Middle Colonies, and the Southern Colonies.
These English colonies were characterized by diverse motives and experiences. Some colonists sought religious freedom and established settlements based on specific religious beliefs, such as the Puritans in Massachusetts or the Quakers in Pennsylvania. Others were motivated by economic prospects, including the desire for agricultural land, trade opportunities, and access to valuable resources.
The English colonies developed their own forms of self-government, often based on principles of representative democracy. They also maintained cultural ties to England and considered themselves subjects of the British crown, though local governance and distinct colonial identities emerged over time.
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HELP PLEASE ?? can u answer this multiple choice for me please?
Answers
Answer:
.04 kg m/s
Explanation:
Momentum is simply mass multiplied by velocity given by p = mv. You can consider momentum as mass in motion.
Before the collision, the data given for the toy train:
v = 0.5m/s
m = 75g
We need to convert grams into the SI unit of mass, kg.
75g / 1000g * 1kg = 0.075kg
Using p = mv, we can determine:
p = 0.075kg * 0.5m/s = 0.0375 kg m/s
Rounding to the value of 1 sig-fig, it comes out to be 0.04 kg m/s.
3.
Where is the weight of an object more on earth, Equator or poles? Why?
Answers
Answer:
The weight of an object at the poles is more than the weight of the object at the equator
Explanation:
The shape of the Earth is an ellipsoid such that the distance from the North and South poles to the Earth's center, R₁, is less than the distance from the Equator to the center of the Earth, R₂
The weight of an object is given by the universal gravitational law as follows;
\(Weight = F_{gravity} =G\times \dfrac{M \cdot m}{R^{2}}\)
Where;
\(F_{gravity}\) = The force of gravity = The weight of an object
G = The universal gravitational constant
M = The mass of the Earth
m = The mass of the object
R = The radius of the Earth
Where R₁ < R₂, we have;
The weight at the Poles, W₁ = \(G\times \dfrac{M \cdot m}{R_1^{2}}\)
The weight at the Equator, W₂ = \(G\times \dfrac{M \cdot m}{R_2^{2}}\)
We have;
\(\left(G\times \dfrac{M \cdot m}{R_1^{2}} \right) > \left(G\times \dfrac{M \cdot m}{R_2^{2}} \right) \because R_1 < R_2\)
Therefore, the weight of an object at the poles, W₁, is more than the weight of the object at the equator, W₂
A 50.0 kg crate is pulled 375 N of force applied to a rope. The crate slides without friction.
After being pulled 3.07 meters the crate has a velocity of 5.61 m/s. What is the angle (degrees) made by the rope with the horizontal?
Answers
Hi there!
We can use the work-energy theorem to solve.
Recall that:
\(\large\boxed{W = \Delta KE = \frac{1}{2}mv_f^2 - \frac{1}{2}mv_i^2}\)
The initial kinetic energy is 0 J because the crate begins from rest, so we can plug in the given values for mass and final velocity:
\(W = \frac{1}{2}(50)(5.61^2) = 786.8025 J\)
Now, we can define work:
\(\large\boxed{W = Fdcos\theta}}\)
Now, plug in the values:
\(786.8025 = Fdcos\theta\\\\786.8025 = (375)(3.07)cos\theta\)
Solve for theta:
\(cos\theta = .6834\\\theta = cos^{-1}(.6834) = \boxed{46.887^o}\)
Pls help it's urgent
1. What started the scientific revolution?
• A lack of critical thinking, which allowed for the spread of bias.
• The printing press was invented, which allowed for the rapid spread of new ideas.
• A disagreement between scientists and the state, which resulted in a bloody revolution.
• The discovery that all living beings were related though heredity, which resulted in controversy.
2. How did the discovery of penicillin impact society?
•Penicillin is now used to combat viral infections.
•Penicillin is now used to produce insulin and human growth hormone.
•Penicillin is responsible for many bacterial infections.
•Penicillin is used for the development of many other antibiotics.
3.Scientists at the Ethical Treatment for Animals report findings that show raising livestock is harmful to the environment. Based on this study, they suggest banning the sale of meat. What questions should you ask before making a judgment about their findings? (Choose 2 answers)
•How would people survive without meat?
•How many studies have shown the same results?
•Does the group conducting the study have anything to gain by interpreting their findings in this way?
•Does the environmental damage matter as much as people’s freedom to eat what they choose?
•Was the livestock given antibiotics?
Answers
Answer:
See below.
Explanation:
1. Printing press allowed for the rapid spread of knowledge and facilitate scientific revolution. The specific beginning point is usually thought to be the publishing of Nicolaus Copernicus' De revolutionibus orbium coelestium.
2. Penicillin was used to create other antibiotics either directly or indirectly.
3. How many studies have shown the same results?
Was the livestock given antibiotics?
all their electromagnetic radiation is gravitationally redshifted to the infrared, leaving no light in the optical region.
Answers
The statement suggests that all electromagnetic radiation emitted by a certain source has been redshifted due to gravitational effects, resulting in the absence of light in the optical region and a shift towards the infrared region.
Gravitational redshift is a phenomenon in which light or other forms of electromagnetic radiation experience a shift towards longer wavelengths due to the influence of gravity. According to the statement, the source in question has undergone a significant gravitational redshift, causing the emitted radiation to be shifted to longer wavelengths, specifically in the infrared region of the electromagnetic spectrum.
Infrared radiation has longer wavelengths than visible light, making it invisible to the human eye. This shift in wavelength can occur when light passes through a strong gravitational field, such as near massive objects like black holes or dense stellar remnants. The gravitational force affects the frequency and energy of the photons, causing them to lose energy and become redshifted.
As a result, if all the electromagnetic radiation from the source has been gravitationally redshifted to the infrared, there would be no detectable light in the optical region. The absence of light in the optical region suggests that the source has undergone significant gravitational effects, altering the properties of the emitted radiation.
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How large a force is required to accelerate a 1600 kg car from rest to a speed of 25 m/s in a distance of 200 m?.
Answers
Therefore, a 1600 kg SUV will need to acceleration with a net force of 2500 N over a 200 m distance to reach a speed of 25 m/s.
v² - u² = 2as
a = v² - u²/2s
Where:
a = acceleration (m/s²)
v = final velocity (m/s)
u = initial velocity (m/s)
s = distance (m)
a = 25² - 0²/2(200)
a = 625/400
a = 1.563m/s²
Since a = 1.563m/s²
F = 1600 × 1.563
F = 2500N
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The brain can be best described as which classification of the body?
o bone
o organ
ogland
O muscle
Answers
That should be the answer.
What is the all time speed record for completing the iditarod?.
Answers
•What is the all time speed record for completing the iditarod?
Answer:
•In 2016, Dallas broke his own record, finishing in 8 days, 11 hours, 20 minutes and 16 seconds. In 2017, Mitch Seavey broke all previous records by finishing in 8 days, 3 hours, 40 minutes and 13 seconds, which currently stands as the fastest winning time for the Iditarod.
Explanation:
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Each part of (Figure 1) shows one or more point charges. The charges have equal magnitudes. For case (a), if a positive charge is moved from position i to position f, does the electric potential energy increase, decrease, or stay the same? A. Electric potential energy increases. B. Electric potential energy decreases. C. Electric potential energy stays the same. D. It's impossible to determine.
Answers
The electric potential energy increases when a positive charge is moved from position i to position f in case (a).
Electric potential energy is the energy that a charged object possesses due to its position in an electric field. In case (a), the point charges are arranged in a straight line, with two positive charges and two negative charges. If a positive charge is moved from position i to position f, it would be moving closer to the two negative charges and further away from the positive charges. This means that the potential energy of the system would increase since the positive charge would experience a greater force of attraction from the negative charges. Therefore, the correct answer is A. Electric potential energy increases.
In order to understand why the electric potential energy increases when a positive charge is moved from position i to position f in case (a), we need to consider the interactions between the charges. When a positive charge is at position i, it is closer to the two positive charges and farther away from the negative charges. This means that the electric potential energy of the system is at a certain level. When the positive charge is moved to position f, it is closer to the two negative charges and farther away from the positive charges. This means that the electric potential energy of the system increases.
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A boulder with a mass of 2,500 kg resting on a ledge 200 m above the ground falls. If the boulder’s ME is conserved, what is the speed of the boulder just before it hits the ground?
Answers
Answer:
nitial GPE = final KE 2500*10*200 = ½ 2500*v^2 v^2 = 2*10*200 v= 63.24 m/sec
Explanation:
what matches ????????????????
Answers
Answer:
1st: Radiation
2nd: Conduction
3rd: Convection
Explanation:
I actually learned this before in school. Yay
Which of these is true for both natural and artificial selection?
A. They both occur randomly and spontaneously.
B. They both involve the extinction of unfit species.
C. They both result in the enrichment of certain alleles over others.
D. They both require human involvement to choose the most desirable traits
Answers
Answer:
c is answer
Explanation:
Humans allow only organisms with favorable traits to reproduce. Is this true of natural selection, artificial selection or both? Competition for resources determines reproductive success.
A diverging lens of focal length 18.0m is used to view a shark that is 90.0m away from the lens. If the image formed is 1.0m long, calculate the: (i) image distance; (ii) length of the shark.
Answers
Answer:
i. + 22.5 m ii. 4.0 m
Explanation:
i. Image distance
Using the lens formula
1/u + 1/v = 1/f where f = focal length = + 18.0 m, u = object distance = distance of shark away from lens = + 90.0 m and v = image distance from lens = unknown
So, we find v
1/v = 1/f - 1/u
= 1/+18 - 1/+90
= (5 - 1)/90
= 4/90
v = 90/4
= + 22.5 m
So the image is real and formed 22.5 m away on the other side of the lens.
ii Length of Shark
Using the magnification formula, m = image height/object height = image distance/object distance. image height = 1.0 m where object height = length of shark.
m = image distance/object distance
= v/u
= +22.5/+90
= 0.25
0.25 = image height/object height
So,
object height = image height/0.25
= 1.0 m/0.25
= 4.0 m
So, the length of the shark is 4.0 m
During the time interval from 0.0 to 10.0 s, the position vector of a car on a road is given by x(t) = a + bt + ct2, with a = 17.2 m, b = -10.1 m/s, and c = 1.10 m/s2. What is the car’s velocity as a function of time? What is the car’s average velocity during this interval?
im stuck with this :(
Answers
The car’s velocity as a function of time is b + 2ct and the car’s average velocity during this interval is 0.9 m/s.
Average velocity of the carThe average velocity of the car is calculated as follows;
x(t) = a + bt + ct2
v = dx/dt
v(t) = b + 2ct
v(0) = -10.1 m/s + 2(1.1)(0) = -10.1 m/s
v(10) = -10.1 + 2(1.1)(10) = 11.9 m/s
Average velocityV = ¹/₂[v(0) + v(10)]
V = ¹/₂ (-10.1 + 11.9 )
V = 0.9 m/s
Thus, the car’s velocity as a function of time is b + 2ct and the car’s average velocity during this interval is 0.9 m/s.
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A bird flies a distance of 50 km in 30 minutes. What is the speed of the bird?
Answers
Answer:
1.6666667 kilometers per minute
Explanation:
Speed = Distance / Time
Speed = 50/30
Speed = 1.6666,... km/m or kilometers per minute
Suppose a particle moves along a straight line with velocity meters per second after seconds.
Answers
Many meters will a particle have traveled after t seconds if it is moving in a straight line at a velocity of v(t)=t2e2t meters per second?
What are velocity and speed?In contrast to velocity, which describes the speed and direction of such an object's movement, speed is the rate of movement along a path. Alternatively, velocities is a vector while speed is just a scalar quantity.
Why is there a velocity formula?Velocity (v), which can be expressed by the expression v = s/t, is still a tensor quantity that determines dislocation (or the shift in position, s), over change in time (t).
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6)
If one student softly sings at 30 dB, then the other 99
students in the chorus join her at the same intensity,
what is their new dB level?
Answers
Answer:
2970dB
Explanation:
30 x99=2970
What is Electric power?
Answers
Answer:
Electric power is the rate, per unit time, at which electrical energy is transferred by an electric circuit. The SI unit of power is the watt, one joule per second
Answer:
Electric power is the rate at which work is done or energy is transformed into an electrical circuit. Simply put, it is a measure of how much energy is used in a span of time.
Explanation:
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