A spring whose spring constant is 850 N/m is compressed 0.40 m. What is the maximum speed it can give to a 500 g ball? ____m/s
Answer Choices:
136
16.5
12.5
272
680
18.6
8.4
26
Using the conservation of energy, the spring's potential energy when compressed is converted to the ball's kinetic energy. By calculating the potential energy stored in the spring and equating it to kinetic energy, the maximum speed of a 500 g ball released from a spring compressed by 0.40 m can be determined to be approximately 12.5 m/s.
Explanation:To find out the maximum speed that a spring with a spring constant of 850 N/m can give to a 500 g ball when it is compressed 0.40 m, we use the principle of conservation of energy. The potential energy stored in the compressed spring is fully converted into the kinetic energy of the ball at the moment the spring releases its compression and the ball leaves the spring. We formulate this using Hooke's Law for spring potential energy and the kinetic energy expression.
The potential energy (PE) stored in the compressed spring is given by:
PE = 1/2 k x2, where k is the spring constant and x is the displacement from its equilibrium position.
PE = 1/2 (850 N/m) (0.40 m)2 = 68 J
This energy is converted into kinetic energy (KE) which is given by:
KE = 1/2 m v2, where m is the mass and v is the final speed of the ball.
By setting the potential energy equal to the kinetic energy: 1/2 k x2 = 1/2 m v2, we can solve for v for maximum speed of the 500 g ball.
68 J = 1/2 (0.5 kg) v2
v = sqrt(2 * 68 J / 0.5 kg)
v ≈ 13.07 m/s
Therefore, the closest answer choice to the calculated maximum speed is 12.5 m/s.
Which part of the carbon cycle is leading to coral bleaching? photosynthesis in plants respiration in plants absorption of carbon dioxide into the oceans
Answer: Option C
Explanation: The carbon dioxide is major green house gas that traps heat. But due to global warming the amount of carbon dioxide in the environment is increasing day by day.
The carbon dioxide gets in the ocean water and harms the organisms present in the ocean water. The coral present inside the water covers a very large area and is a major part of the marine ecosystem.
The carbon dioxide in excess leads to coral bleaching. This is a phenomenon in which the algae that is found inside the coral leaves the coral due to stress condition.
Thus, carbon dioxide in water increase the acidification in ocean which leads to coral bleaching.
A 33.0 g iron rod, initially at 22.7 ∘c, is submerged into an unknown mass of water at 63.3 ∘c, in an insulated container. the final temperature of the mixture upon reaching thermal equilibrium is 58.5 ∘c. part a what is the mass of the water? express your answer to two significant figures and include the appropriate units.
Why does the total amount of energy before and after any energy transformations remain the same?
answer : Because energy cannot be created or destroyed, the total input is equal to the total output. The total amount of energy remains the same even though it may change forms.
Energy cannot be created nor be destroyed. But it can change from on from one form to the other. The total energy in a system always remains a constant.
What is conservation of energy?
According to the law of conservation of energy, energy can neither be created nor be destroyed. Therefore, the total energy of a system remains constant.
However, one form of energy can be converted to other form. There are different kinds of energy generating from different sources. Kinetic energy, potential energy, nuclear energy, gravitational energy, thermal energy, chemical energy, light energy etc. are different forms of energy.
In battery or cell the chemical energy is converted to electrical energy. Similarly in a solar cell light energy is converted to electrical energy. Whereas, in all electrical devices such as fan, motors, etc electrical energy is converted to the mechanical energy.
In this way the total energy of the system is always maintained on itself without any loss or gain in amount. Therefore, the total amount of energy before and after any energy transformations remain the same to balance the system.
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What kind of gas cloud is most likely to give birth to stars? what kind of gas cloud is most likely to give birth to stars? a cold, dense gas cloud a hot, dense gas cloud a hot, low-density gas cloud a cold, low-density gas cloud?
When sea ice forms in the ocean, the salinity of the surrounding ocean water would ?
Answer:
increases
Explanation:
When sea ice forms in ocean salinity of surrounding ocean water increases.
The salt plays an important role in the ocean circulation.When sea ice is formed in an ocean then this indicates the insertion of salt into the ocean. The salinity of surrounding water increases as salt water is heavier i.e its density is more as a result of high density the water sinks.There is an exchange of salt takes place between ocean and the sea ice.This influences the ocean circulation and this circulation lasts up to several hundreds of kilometers.
A student throws a ball straight down off a very high building with a velocity magnitude of 3.0 m/s the ball accelerated in free fall for 2.0s what is the velocity at 2.0s
After being thrown downwards from a high building with an initial velocity of 3.0 m/s, and accelerating in free fall for 2.0s, the velocity of the ball would be 22.6 m/s.
Explanation:The student throws a ball downwards with an initial velocity of 3.0 m/s. In a situation of free fall, the object accelerates due to gravity, which is approximately 9.8 m/s² on Earth's surface. As the ball is being thrown downwards, the gravitational acceleration would add to the initial velocity.
We can use the equation v = u + at to find the velocity of the ball after a certain time where:
v = final velocity
u = initial velocity
a = acceleration
t = time
The initial velocity (u) here is 3.0 m/s, acceleration (a) is 9.8 m/s² (as the object is in free fall), and time (t) is 2.0s (as given).
So substituting these values in the equation, we get:
v = 3.0 m/s + (9.8 m/s² * 2.0s) = 3.0 m/s + 19.6 m/s
This sums up to a final velocity (v) of 22.6 m/s. Therefore, the ball's velocity after 2.0 seconds is 22.6 m/s.
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The strength of friction depends on what two factors
An important difference between waves and classical particles is that A. waves cannot interfere. B. particles cannot interfere. C. waves can only interfere destructively. D. particles can only interfere destructively.
As you add additional light bulbs in series, which graph represents the total voltage across the light bulbs?
Answer:
here are the graphs
Explanation:
Modern architects debated which was more important: form or function. Who inspired future architects to look at architectural design from a functional perspective?
Louis Sullivan, an influential 19th-century architect, inspired future architects to prioritize function in design with his famous precept "form follows function", which became foundational to modern architecture. His approach led to the simplification of forms and the notion that buildings should express their structure and materials honestly.
The architect who inspired future architects to look at architectural design from a functional perspective was Louis Sullivan. Sullivan, a great 19th-century architect, famously stated that "form follows function". This philosophy became a central tenet of modern architecture, emphasizing that architectural design should prioritize the function, or use, of the building, leading to simplification of forms and an absence of unnecessary ornamentation.
Modern architecture thus embraced the idea that form should be derived directly from the building's purpose. The aesthetic, psychological, and cultural facets of a building's use were all considered part of its function. This approach was radical at the time and laid the foundation for the functionalist details seen in modernist buildings, which often display structural elements like steel beams and concrete surfaces as part of the design rather than concealing them.
The modernist architects' approach was further characterized by a motto that 'decoration is a crime', signifying a move away from historic styles and towards a more truthful expression of materials and structure.
Someone please help?? :(
Julie started with Newton's second law of motion. She drew a free-body diagram of an inclined plane experiment. She derived an equation for the acceleration down the inclined plane and determined how it would change if she changed the angle of the incline. From there she was able to derive an equation to find the coefficient of friction of any material on the inclined plane.
In the scenario, how did Julie determine her findings on the coefficient of friction?
a. inductive reasoning
b. deductive reasoning from a valid principle
c. deductive reasoning from an invalid principle,
What’s the units of specific heat
Final answer:
The units of specific heat, which indicate the amount of energy needed to raise the temperature of 1 g of a substance by 1°C, are joules per kilogram Kelvin (J/(kg·K)) or joules per kilogram degree Celsius (J/(kg·°C)) in the SI system, and calories (cal) in non-SI units.
Explanation:
The units of specific heat are an important aspect in understanding how much energy is required to change the temperature of a substance. The specific heat of a substance is the amount of energy needed to increase the temperature of 1 gram of the substance by 1°C. In the International System of Units (SI), the unit of specific heat is joules per kilogram Kelvin (J/(kg·K)) or joules per kilogram degree Celsius (J/(kg·°C)). Additionally, the non-SI unit called the calorie (cal) is sometimes used, where 1 calorie is the energy required to raise the temperature of 1 gram of water by 1°C.
It's important to note that the value of specific heat remains the same whether measured in J/(kg·K) or J/(kg·°C), since the temperature change is the same whether expressed in Kelvin or degrees Celsius. For practical and historical reasons, other units like the calorie and the kilocalorie (kcal) are also used, particularly in contexts like food energy where 'calories' commonly refer to kilocalories.
A point charge of +1.0 µC is moved in the direction of an electric field, and it has a change in electric potential difference energy of 10.0 J. What was the change in electric potential difference? 1 µC = 10^-6 C
1.0 × 108 V
1.0 × 107 V
+1.0 × 107 V
+1.0 × 108 V,
The cube has a mass of 72.9 g. What substance is this cube composed of?
The area of a sound wave where particles are spread apart is called a _________________________.
What conditions in the nucleus are likely to result in an atom undergoing radioactive decay?
a. When the attraction of the strong force is weaker than the repulsion of the electrostatic force
b. When the repulsion of the strong force is weaker than the repulsion of the electrostatic force
c. When the repulsion of the strong force is greater than the attraction of the electrostatic force
d. When the attraction of the strong force is greater than the attraction of the electrostatic force,
A.) When the attraction of the strong force is weaker than the repulsion of the electrostatic force
23) A high school website directs parents to not allow student access to blue laser pointers or allow the students to bring them to school. It includes a video describing the danger inherent in the misuse of all laser pointers particularly the blue laser pointer. Why would they claim that blue laser pointers are more of a concern than red laser pointers?
To prevent collisions and violations at intersections that have traffic signals, use the _____ to ensure the intersection is clear before you enter it.
To prevent collisions and violations at intersections that have traffic signals, use the: Delayed acceleration technique.
A roundabout can be defined as a circular intersection that are typically designed to make junctions or intersections of roads safer, by physically directing drivers, cyclists, and pedestrians to move in a counter-clockwise direction.
Generally, there are two (2) main types of roundabout and these include;
Multi-lane roundabout.Single-lane roundabout.A delayed acceleration technique involves waiting to go through an intersection until a driver is able to properly scan for any vehicular movement by other road users (drivers).
Based on statistics, the chances of collisions are highest on roads with intersections.
In order to prevent any form of collision and violation at road intersections that have traffic signals, drivers should use the delayed acceleration technique because it helps to ensure an intersection is clear before entering it.
In conclusion, drivers should ensure a road intersection is clear before they enter it.
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What would happen to the speed of sound travelling through water as it freezes and becomes solid? A) The speed of sound should increase as it solidifies. B) The speed of sound should decrease as it solidifies. C) The speed of sound does not change because the chemical is still H2O. D) The speed of sound only changes with temperature. Ice freezes at a constant temperature.
Answer: The correct answer is option(A).
Explanation:
Sound travels fast in air , faster in liquid and fastest in solids.
This is because the particles in solid state are tightly packed by which no collisions between particles are present unlike in liquids and gases.
In gases, particles are far apart due to which particles are free to collide which each other. Due to these collisions the speed of sounds slows down in the gaseous state.
According to question the speed of the sound in water will increase on freezing because state of water is changing into solid state from liquid state. And sounds travels fastest is solid state of matter which means that speed will increase on solidification.
Hence, correct answer is option A.
Select the correct answer. Julie is cycling at a speed of 3.4 meters/second. If the combined mass of the bicycle and Julie is 30 kilograms, what is the kinetic energy? 1.7 × 102 joules 1.5 × 102 joules 2.0 × 102 joules 2.2 × 102 joules
Kinetic energy of a moving body can be calculated from mass and velocity. The kinetic energy of the cycler with a velocity of 3.4 m/s and mass of 30 Kg is 173 J or 1.7 × 10² joules.
What is kinetic energy?Kinetic energy is form of energy formed by virtue of the motion of a body. It is directly proportional to the mass and square of the velocity of the body. The equation of kinetic energy can be written as follows:
KE = 1/2 mv²
When a body starts to move its kinetic energy starts to increase whereas, potential energy gets declined. As per the above relation, the kinetic energy of a body doubles when the mass is doubled. If the velocity is doubled, kinetic energy will increases by four times.
It is given that the combined mass of the cycle and the girl is 30 Kg and the velocity is 3.4 m/s. Kinetic energy can be calculated as follows:
KE = 1/2 30 × ( 3.4 )²
= 173 J.
Therefore, kinetic energy of the cycler with a velocity of 3.4 m/s and mass of 30 Kg is 173 J or 1.7 × 10² joules and option a is correct.
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How far does the moon move away from earth every year?
Answer:
1.6 inch (4 cm)
Explanation:
Currently moon is about 3.85 ×10⁵ km away from the Earth on an average. The gravitational pull of the Earth is keeping the moon in its orbit around the Earth. The gravitational pull of moon causes tidal bulge. The Earth tends to drag ahead this bulge from the slow orbiting moon. Due to this, the rotation of the Earth is slowing down and moon is being pushed away slowly. Every year moon is pushed to about 1.6 inches or 4 cm away from the Earth.
Two point charges of equal magnitude are
7.5 cm apart. At the midpoint of the line
connecting them, their combined electric field
has magnitude of 45 N/C. Find the magnitude
of the charges.
Pls show me the complete calculation,
A climate which changes with altitude is called a(n) climate.
Force = mass x acceleration
What force would be required to accelerate a 40 kg mass by 4 m/s2?
160
160 N
10 N
10
About how often does a 1-kilometer object strike the earth? about how often does a 1-kilometer object strike the earth? every year every million years every billion years
What is the strength of an electric field that will balance the weight of a 8.2 g plastic sphere that has been charged to -3.3 nC? Answer in N/C.
Approach: I know that the forces need to balance out, and that F=mg (mass*gravity) and that F=q*E (charge* electric field).
mg=qE
E=mg/q
Plugging in the numbers:
m = 8.2*10^-3 kg
q = -3.3*10^-9 C
g = 9.8*10^-3 N/g
And I get -24351.5152, but it's wrong. I know there is some error with the units, could someone show me what I am doing wrong?
What is the magnitude of B?
speed=2.64*10^7
radius .160m
R=mv/|q|B,
What is the mass of a rock that weighs 49 newtons?
The mass of the rock is equal to 5 Kg when its weight is 49 N.
What is the weight of the object?The weight of a body can be described as the force acting on the body due to gravity. Weight can be described as a vector parameter if gravity is acting on the object.
The S.I. unit for measurement weight is of force, which S.I. is the newton (N). A body with a mass of 1 kg has a weight of about 9.8 Newton on the surface of the Earth, and about 1/6 as much on the Moon.
The mathematical expression to find the weight of an object is written as follows:
W = mg
Given the weight of the rock, W = 49 N
The acceleration due to gravity on the rock, g = 9.8 m/s²
The mass of the rock on the earth will be equal to:
49 = m × 9.8 m/s²
m = 5 kg
Therefore, the mass of the rock is equal to 5 kg.
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99 points!!!! HELP ASAP
Why does sound move faster in solids mediums
A. The particles in solids or more compact
B. The particles in between them
C. Solids are the coldest medium
D. Sound does not move fastest in solids it moves fastest in gases
sound move faster in solids mediums because
A. The particles in solids or more compact
Sound move faster in solids mediums because the particles in solids or more compact. So, the correct option is (A).
What is Sound?
Sound is a type of vibration which propagates as an acoustic wave, through a transmission medium like gas, liquid or solid. It is the reception of such waves and their perception by the brain.
It is a type of energy made by vibrations. The movement of surrounding air molecules occurs due to the object vibration. These molecules bump into the molecules close to them which causes them to vibrate as well and makes them bump into more nearby air molecules.
Sound travels faster in solids than in liquids and gases because the molecules of solids are closer together which can transmit vibrations (energy) faster. Sound travels slowest through liquids and gases because the gas molecules are farthest apart.
Thus, Sound move faster in solids mediums because the particles in solids or more compact. So, the correct option is (A).
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