Final answer:
When the total energy of a system consisting of a block and a spring is doubled, the new maximum speed of the block will be sqrt(2) times its original maximum speed. If the original speed was 20 cm/s, the new max speed will be about 28.28 cm/s.
Explanation:
The maximum speed of a block oscillating on a spring is determined by its total mechanical energy, which is the sum of its kinetic and potential energy. In a frictionless system, when the kinetic energy is maximum, the potential energy is zero, and vice versa. When the total energy of the system is doubled, both the kinetic and potential energy will double when the block is at their maximum values. Since the maximum speed (v_max) is directly related to the maximum kinetic energy (which is 1/2 m v_max^2, where m is the mass of the block), if the total energy doubles and mass remains the same, the new maximum speed will be the square root of 2 times the original maximum speed. Hence, if the original maximum speed is 20 cm/s, the new maximum speed will be 20 cm/s * sqrt(2), approximately equal to 28.28 cm/s.
Given the initial maximum speed of 20 cm/s, the new maximum speed will be approximately 28.3 cm/s.
To determine the block's maximum speed when its total energy is doubled, we need to understand how the energy in a spring-mass system is related to its speed.
In a spring-mass system, the total mechanical energy (E) is the sum of its potential energy (U) and kinetic energy (K). The equation for kinetic energy (K) at maximum speed (V(max)) is given by:
K = ½mV(max)²where
m is the mass of the block.Since the problem states that the initial maximum speed (V(max)) is 20 cm/s (or 0.2 m/s), we need to find the new maximum speed when the total energy is doubled.
Knowing that the total energy is proportional to the square of the maximum speed, we can set up the following relationship:
E_new = 2E_originalConsidering the kinetic energy component:
½mV(max_new)² = 2(½mV(max)²)Canceling out the common factors, we get:
V(max_new)² = 2V(max)²V(max_new) = sqrt(2) * V(max)Given the initial maximum speed (V(max)) is 20 cm/s:
V(max_new) = sqrt(2) * 20 cm/s ≈ 1.414 * 20 cm/s V(max_new) ≈ 28.3 cm/sThus, the block's maximum speed will be approximately 28.3 cm/s if its total energy is doubled.
A battery is the power source for what type of current?
A. AC
B.BC
C.DC
D.All types of current
Answer:
C. DC
Explanation:
A battery is the power source for DC type of current. A battery is a source of constant potential difference that produces a constant current unlike in AC source where the voltage and hence the current changes its polarity continuously.Hence, the current produced by battery is direct current and not Alternating current.
A wave has a velocity of 24 m/s and a period of 3.0 s. Calculate the wavelength of the wave
Answer:
72 m
Explanation:
The period of a wave is the amount of time it takes a wave complete one full cycle. The period is the inverse of the frequency.
Given;
Wave Velocity V = 24 m/s
Period T = 3.0s
Frequency of the wave F = 1/T= 1/3
Wavelength W= ?
Wavelength is the distance covered by a wave in a complete cycle i.e from one crest to another, or from one trough to another.
W = V/F = VT
W = 24/ (1/3)
W = 24 × 3
W = 72 m
A crate of mass 5 kg slides along a horizontal surface with coefficient of kinetic friction of 0.3. the force is pulled by a rope that makes an angle of 30o above the horizontal. the tension in the rope is 150 n. what is the power supplied by the rope to the crate at an instant where the box is moving at a speed of 3 m/s in the direction the rope is pulling it?
How can medical assistant use the knowledge of the nervous systems to care for the patient with Parkinson’s and other neurological disorders
Having a wide knowledge of the nervous system and the of how the brain’s different parts collaborate to organize all our movements, senses thoughts, and emotions enable the medical assistants to handle the cognitive and behavioral complications in the patient. It helps them to deal with wounds and falls since the nervous disorder generally affects cognition and movement. Having a wide knowledge of how the nerve impulses are transmitted from the nervous system to the brain, when it is then converted into feelings such as pleasure, pain, cold or hot, the medical assistant will be able to take response immediately on the patient prior they start complaining of sensory indications, such as discomfort, irritating, and unresponsiveness.
The polar ice caps of mars is believed to consist mostly of
You have just completed a wonderful meal of pasta and crusty bread followed by a huge piece of chocolate cake. This carbohydrate-rich meal has lead to the release of large amounts of sugar into your bloodstream. What is necessary to address the change in blood sugar level?
Its C Disposal of radioactive waste is a major concern in nuclear power production. Which method of disposal is least dangerous?
What is the energy q released in the first step of the thorium-232 decay chain? the atomic mass of 232 90th is 232.038054 u and the atomic mass of 228 88ra is 228.0301069 u. express your answer numerically in megaelectron volts?
Answer: The energy released in the given nuclear reaction is 4.98 MeV.
Explanation:
The equation for the alpha decay of Th-232 nucleus follows:
[tex]_{90}^{232}\textrm{Th}\rightarrow _{88}^{228}\textrm{Ra}+_{2}^{4}\textrm{He}[/tex]
We are given:
Mass of [tex]_{90}^{232}\textrm{Th}[/tex] = 232.038054 u
Mass of [tex]_{88}^{228}\textrm{Ra}[/tex] = 228.0301069 u
Mass of [tex]_{2}^{4}\textrm{He}[/tex] = 4.002602 u
To calculate the mass defect, we use the equation:
[tex]\Delta m=\text{Mass of reactants}-\text{Mass of products}[/tex]
Putting values in above equation, we get:
[tex]\Delta m=(m_{Th})-(m_{Ra}+m_{He})\\\\\Delta m=(232.038054)-(228.0301069+4.002602)=0.0053451u[/tex]
To calculate the energy released, we use the equation:
[tex]E=\Delta mc^2\\E=(0.0053451u)\times c^2[/tex]
[tex]E=(0.0053451u)\times (931.5MeV)[/tex] (Conversion factor: [tex]1u=931.5MeV/c^2[/tex] )
[tex]E=4.98MeV[/tex]
Hence, the energy released in the given nuclear reaction is 4.98 MeV.
A rod made from insulating material carries a net charge, while a copper sphere is neutral. The rod and the sphere do not touch. Is it possible for the rod and the sphere to (a) attract one another and (b) repel one another? Explain.
Answer:
Sphere R must be negative and Sphere S must be positive or neutral.
Explanation:
Castle Learning. Also the Rod diagram shows electrons in it and we know like charges repel and opposites attract, so the rod must repel Sphere R because it is negative and attract to Sphere S because it is the opposite.
The sun's electromagnetic radiation is produced by
The sun produces electromagnetic radiation through the movement of electrically charged particles, resulting in a spectrum of radiation that includes harmful UV rays and visible light. This radiation is fundamental for processes like photosynthesis and solar energy generation.
Explanation:The sun's energy is emitted in the form of electromagnetic radiation, which encompasses a wide array of wavelengths, each with its characteristic energy. This radiation is produced by electrically charged particles undergoing transitions, such as the fusion reactions occurring in the sun's core, which results in the release of energy as photons. These photons travel through space and carry energy, momentum, and when interacting with matter, can exert force.
Among the types of electromagnetic radiation emitted from the sun, we find visible light, ultraviolet (UV) rays, X-rays, microwaves, and radio waves. UV rays have shorter wavelengths than visible light and are more energetic, and they are partially absorbed by ozone molecules in the Earth's atmosphere, which helps to protect living organisms from its potentially harmful effects.
Overall, the sun produces a full spectrum of electromagnetic radiation, measurable by scientists on what is known as the electromagnetic spectrum. The entirety of this spectrum is essential for various processes on Earth, from photosynthesis which supports life to solar panels that harness sunlight for energy.
Reflection is the bouncing of light rays off of a surface. Which situation is NOT an example of reflection?
A) looking at yourself in a mirror
B) focusing light through a camera lens
C) seeing an image of yourself in a still lake
D) looking at your teacher at the front of the class
The answer is B, Focusing light through a camera lens.s
A boat is moving at 3 m/s and increases its speed at 2 m/s2. How fast is it moving after it travels 10 m from the point it begins to speed up?
lion and leopard are two of Africa's large cat ____.
A circuit has a current of 1.2 A. If the voltage decreases to one third of its original amount while the resistance remains constant, what will be the resulting current?
If a rock weighing 2,200 N is dropped from a height of 15 m, what is its KE just before it hits the ground? Remember, weight is measured in newtons (N), and is equal to mass times gravity.
A. 0 J
B. 2,224 J
C. 147 J
D. 33,000 J
In the past, how did people use the systematic movement of celestial bodies? Select all that apply.
making agricultural decisions
shipping navigation
predicting the future
spiritual and religious practices
tracking storms
In past, people used the systematic movement of celestial bodies for making agricultural decisions, shipping navigation and for spiritual and religious practices.
Answer: Options 1, 2, and 4
Explanation:
The observation of systematic movement of celestial bodies comes under the field of Astrometry. The celestial mechanics which defines are the movement of celestial bodies is also a kind of Astrometry.
The celestial mechanics is used by the people in past to help in navigation during ship journey. Even the astrometry will help in predicting the seasons to be coming which will help in making agricultural decisions.
In astrology, the position of celestial bodies help in deciding the time for spiritual and religious practices. So, in ancient days, people used the systematic movement of celestial bodies in naked eyes to decide these.
As part of an exercise program, a woman walks south at a speed of 2.00 m/s for 60.0 minutes. she then turns around and walks north a distance 3000 m in 25.0 minutes (a) what is the woman's average velocity during her entire motion?
a.0.824 m/s south
b.1.93 m/s south
c.2.00 m/s south
d.1.79 m/s south
e.800 m/s south
The woman's average velocity during her entire motion is approximately 1.79 m/s south.
Explanation:To find the woman's average velocity, we need to calculate the total displacement and divide it by the total time taken. Southward motion is taken as negative, and northward motion is taken as positive. Let's calculate:
Southward motion: displacement = -2.00 m/s × 60.0 min = -120.00 mNorthward motion: displacement = 3000 mTotal displacement = -120.00 m + 3000 m = 2880.00 mTotal time = 60.0 min + 25.0 min = 85.0 minTherefore, the woman's average velocity is:
average velocity = total displacement / total time
average velocity = 2880.00 m / 85.0 min
average velocity ≈ 33.88 m/min
To convert to m/s, we divide by 60:
average velocity ≈ 33.88 m/min ÷ 60 ≈ 0.5647 m/s
Since the woman was walking southward, the average velocity is negative. So the correct answer is Option d. 1.79 m/s south.
Learn more about Average Velocity here:https://brainly.com/question/1375440
#SPJ3
A relatively long lived excited state of an atom has a lifetime of 2.05 ms. what is the minimum uncertainty (in ev) in its energy?
How many significant digits are in the measurement 50.003010 nm?
Answer:
Significant digits = 8
Explanation:
Significant digits in a number which is more than 1 and if the number if having decimal in it then as per the rule all the digits present in the number must be significant digit
for an example we will say
1.00 = 3 significant figures
so in this way for all such kind of numbers we have to count all digits in it
so here given number is more than 1 and it contains the decimal in it
so we will say
50.003010 nm = 8 significant figures
Answer:
There are 15 significant digits
Explanation:
50.00301 nm = 0.0000000500301
Counting the figures makes it 15
In the visible spectrum, red light has the lowest frequency and violet light has the highest. List the following colors in order of increasing energy. green blue yellow orange A) blue, green, yellow, orange B) orange, yellow, green, blue C) yellow, orange, blue, green D) green, blue, orange,w
The answer is b !!!!!!
Two waves have the same speed. the first has twice the frequency of the second. compare the wavelength of the two waves. 1. the second has one third the wavelength of the first. 2. the first has half the wavelength of the second. 3. the first has one third the wavelength of the second. 4. the second has half the wavelength of the first. 5. they have the s
A 5.3 kg cat and a 2.5 kg bowl of tuna fish are at opposite ends of the 4.0-m-long seesaw. how far to the left of the pivot must a 3.7 kg cat stand to keep the seesaw balanced?
To keep the seesaw balanced, the 3.7 kg cat must stand 2.06 meters to the left of the pivot.
Explanation:To keep the seesaw balanced, the torques (rotational forces) on both sides of the pivot must be equal. The torque is given by the product of the mass and the distance from the pivot. In this case, the 5.3 kg cat and the 2.5 kg bowl of tuna fish create a torque on one side, while the 3.7 kg cat creates a torque on the other side. Let's denote the distance from the pivot to the 5.3 kg cat as x:
Torque on one side = 5.3 kg * x
Torque on the other side = 2.5 kg * 1.5 m + 3.7 kg * (4 m - x)
Setting these two torques equal to each other and solving for x:
5.3 kg * x = 2.5 kg * 1.5 m + 3.7 kg * (4 m - x)
Simplifying the equation:
5.3x = 3.75 + 14.8 - 3.7x
9x = 18.55
x = 2.06 meters
Therefore, the 3.7 kg cat must stand 2.06 meters to the left of the pivot to keep the seesaw balanced.
Learn more about seesaw balance here:https://brainly.com/question/33817733
#SPJ3
The atmosphere _________ most of the incoming visual radiation.
A. Absorbs
B. Transmits
C. Reflects
Answer:
Absorbs
Explanation:
When the solar radiation or visual radiation arrives on Earth's atmosphere, most of the radiation is absorbed.
A part is reflected and transmitted back but major portion is absorbed by the atmosphere.
This absorb radiation helps to keep the Earth warm and thus maintaining the temperature even in Night time.
How much heat in joules is needed to vaporize an 18.0 gram sample of water at 100c?
What waves shown on the electromagnetic spectrum disturb the medium it passes through at answer?
When x-rays of wavelength 0.312 nm are directed at a crystalline sample, the smallest bragg angle for a certain family of reflecting planes is found to be 28.5°. within the sample, the atoms lie on a simple cubic lattice, a 2-dimensional view of which is shown to the right. assuming that the constructive interference observed is due to the pair of diagonal planes indicated by the two dashed lines, find the distance a between neighboring atoms?
Which statement is true?
Voltage varies throughout a parallel circuit.
Voltage remains the same throughout a parallel circuit.
In a parallel circuit, the voltage remains constant throughout. An analogy using a bike path explanation further simplifies this concept.
Explanation:In the world of physics, it is true to say: 'Voltage remains the same throughout a parallel circuit'. To further illustrate this concept, consider a bike path as an analogy for a circuit.
If a parallel circuit was a bike path, then each 'fork' in the path represents a separate path for the electricity. Think of the voltage as a measure of energy.
Even though cyclists (or charges) can take different paths (resistors), they all start at the same height (self-same voltage).
Therefore, they all have the same amount of potential energy (voltage) at any point.
Learn more about Voltage in a parallel circuit here:https://brainly.com/question/11427828
#SPJ11
The lengthening of a transmitted signal's wavelength and/or a decrease in its frequency, which indicates that the object is moving away from the observer, is called the
The red shift... Hope it helps!
Which property of light remains unchanged when it enters a different medium?
frequency d is the anwsewr
If 1495 j of heat is needed to raise the temperature of a 351 g sample of a metal from 55.0°c to 66.0°c, what is the specific heat capacity of the metal?
sorry i don't know the answer i'm really sorry