A block on a horizontal surface is placed in contact with a light spring with spring constant k, as shown in Figure 1. When the block is moved to the left so that the spring is compressed a distance d from its equilibrium length, the potential energy stored in the spring-block system is Em . When a second block of mass 2m is placed on the same surface and the spring is compressed a distance 2d, as shown in Figure 2, how much potential energy is stored in the spring compared to the original potential energy Em ? All frictional forces are considered to be negligible.
The required potential energy stored in the spring-block system, when the second block is placed on the surface and the spring is compressed by twice the distance, is four times the original potential energy Em.
Let's denote the original potential energy when the spring is compressed by distance d as Em. When the spring is compressed, it exerts a restoring force given by Hooke's Law:
F = -kx,
Where F is the restoring force, k is the spring constant, and x is the displacement from the equilibrium position.
When the spring is compressed by distance d, the potential energy stored in the system is given by:
\(E_m = \dfrac{1}{2} kd^2\)
Now, let's consider the situation when the second block of mass 2m is placed on the surface, and the spring is compressed by a distance 2d. Since the spring is compressed by twice the distance, the displacement is 2d. In this case, the potential energy stored in the system can be calculated as:
\(E_2 = \dfrac{1}{2} k((2d)^2) \\E_2= 4\times \dfrac{1}{2}k(d^2) \\E_2= 4E_m\)
Therefore, the potential energy stored is four times the original potential energy Em.
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A fast car (Car A) and a slow car (Car B) both travel the same distance. Which car takes more time to do this? Explain.
Answer:
Input work is the work done on a machine as the input force acts through the input distance. This is in contrast to output work which is a force that is applied by the body or system to something else. Output work is the work done by a machine as the output force acts through the output distance.Jan 15, 2020 whhdbd dhd dvd s bs sbs shs shs sh s
Explanation:
avsvsyxsgzvs zvx shs dhx xbx dhd dvd dj
7. Why do you think the Redfield ratio continues to be used in oceanographic models, given it is known to be an over-simplification?
The Redfield ratio is the ratio of various chemical elements present in the average phytoplankton biomass. This defines the stoichiometry of photosynthesis and remineralization reactions.
The Redfield ratio is 106:16:1 across the ocean. Many models predict that a warmer ocean will hold less carbon because phytoplankton will become smaller as the ocean warms and bring less carbon to the seafloor as they die. Carbon nitrogen and phosphorus are the most important of these nutrients and CNP.
A ratio between 100:5:1 and 100:10:1 should be maintained to ensure maximum microbial activity in aerobic wastewater treatment. Many trace elements or micronutrients are also required. This is because a specific form of nitrogen found in the air nitrogen gas cannot be assimilated by most living organisms or require nitrogen in solid form.
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A Ball is thrown vertically upwards with a velocity of 20ms-1 from the top of a multi- story building. The height of the point where the ball is thrown is 25m from the ground. How long will it be before the ball hits the ground? Take g=10ms-2
At the ground level, the ball has a kinetic energy of 1/2 mv^2, where v is the velocity of the ball when it reaches the ground. Equating the kinetic energy at the ground level with the potential energy at the top of the building, we get:
1/2 mv^2 = 250m
Simplifying, we get:
v^2 = 500
v = sqrt(500) = 10sqrt(5) m/s
Now, we can use the equation of motion to find the time taken by the ball to reach the ground:
h = ut + 1/2 gt^2
where h is the initial height of the ball, u is the initial velocity, g is the acceleration due to gravity, and t is the time taken.
Plugging in the values, we get:
25 = 10 sqrt(5)t - 1/2 x 10 x t^2
Simplifying, we get a quadratic equation:
t^2 - 4 sqrt(5)t + 5 = 0
Solving for using the quadratic formula, we get:
t = (4sqrt(5) ± sqrt(80 - 20)) / 2
t = (4sqrt(5) ± 2
sqrt(15)) / 2
t = 2
sqrt(5) ± sqrt(15
t = 2 sqrt(5) + sqrt(15)
t ≈ 5.74 seconds
Therefore, it will take approximately 5.74 seconds for the ball to hit the ground.
What is energy ?It is a scalar quantity that can be measured in units of joules (J) or other equivalent units, such as kilowatt-hours (kWh) or electron volts (eV).
In simple terms, energy is the capacity or ability to perform work. Work is done when a force acts on an object and causes it to move a certain distance. Energy is transferred from one system to another during work.
There are many forms of energy, such as kinetic energy (energy of motion), potential energy (stored energy due to position or state), thermal energy (energy associated with the temperature of an object), chemical energy (energy stored in chemical bonds), electrical energy (energy associated with the movement of charged particles), and nuclear energy (energy associated with the nuclei of atoms.
The law of conservation of energy states that energy cannot be created or destroyed, only transferred or converted from one form to another. This means that the total amount of energy in a closed system remains constant.
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A 50N crate is lifted 0.86m from the ground then is allowed to drop losing 15 J of energy. What is the new height of the crate?
We have that the new height of the crate is mathematically given as
Hn=0.56
New height of the crate
Question Parameters:
A 50N crate is lifted 0.86m from the ground
then is allowed to drop losing 15 J of energy.
Generally the equation for the Potential energy is mathematically given as
P.E=mgh
Where
m=50/9.8
Therefore
h=15/(50/9.8*9.8)
h=0.3m
New height
0.86-0.3
Hn=0.56
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In basin and range topography, the lowest areas are frequently occupied by a(n) ________.
In basin and range topography, the lowest areas are frequently occupied by a(n) basin.
Basin and range topography is a geological feature characterized by alternating mountain ranges and elongated valleys or basins. The formation of this topography is attributed to the stretching and faulting of the Earth's crust, which leads to the uplift of mountains and the subsidence of adjacent basins.
The lowest areas in this type of topography are often occupied by basins, which are elongated depressions or low-lying regions. These basins typically collect sediment and water, forming flat or gently sloping landscapes. They can range in size from small valleys to extensive lowland areas.
The basins are important features of the basin and range topography and contribute to the unique landscape and hydrological characteristics of the region.
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helpppppppppppppppppppppppppp
Answer:
should be D
Explanation:
pls make this the brainliest
four cars are designed to be protect passengers in a 16m/s crash. the characteristics of the cars are shown below. which car is most likely to do the best job of protecting passengers inside?
Answer:
car 1
Explanation:
What safety factors should astronauts be aware of when collecting rock samples on the Moon?
Answer:
Explanation:
Astronauts face a wide range of dangers when maneuvering in space. Collecting rock samples requires breaking apart rocks on the moon's surface, which requires tools. These tools are sometimes small hammers or other times special drills. All of this process means moving and using force to break these rocks apart and every single movement can cause a mistake which can lead to a piece of the suit ripping or a failure in the machinery. Since there is no oxygen on the moon the tiniest failure in the suit can lead to the death of the astronaut. Therefore, having backup safety precautions, and quick repair scenarios is a must when collecting rock samples on the moon.
A 7. 50 kg bowling ball moving 6. 42 m/s strikes a 1. 60 kg bowling pin at rest. After, the ball moves 5. 43 M/S at a 12. 0° angle. What is the x-component of the pin's final velocity? Please HELP! I need the answer for this question as soon as possible!
the x-component of the pin's final velocity is 5.2 M/S
FULL SOLUTION BELOW THE IMAGE.
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The required x-component of the pin's final velocity is 5.2 M/S
What is velocity?Velocity characterizes the bearing of the development of the body or the article. Speed is basically a scalar amount. Speed is basically a vector amount. It is the pace of progress of distance. It is the pace of progress of uprooting.
According to question:We have,
mass(m) = 7.5 kg, initial velocity(u) = 6.42 m/s
final velocity(v) = 5.43(cos12°i + sin12°j) m/s
So, conservation of momentum,
7.5(6.42i) = 7.5(5.43(cos12°i + sin12°j) m/s) + 1.6 Vp
Vp = 5.2i - 5.292j
x - component = 5.2 m/s
y - component = 5.292 m/s
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What is the momentum of a 4 kg object moving west at 4 m/s?*
O 12 kg*m/s (east)
O 1.33 kg*m/s (west)
O 16 kg*m/s (east)
16 kg*m/s (west)
Answer:
16kg*m/s west
Explanation:
P=M*V
Momentum= Mass time velocity, plug it into the formula,
M is 4 and V is 4, 4*4=16, and since the object is moving west its going to be west.
basically saying in simpler terms,
16=4*4
Emma has a large piece of taffy (1.5 kg) that she wants to share with her friend Camila. However, Emma is having a hard time breaking the piece by herself. So, Emma grabs one end of the taffy while Camila grabs the other end. They both pull on the taffy in opposite directions: Emma pulls with 20 N and Camila with 23 N. Calculate the acceleration and give the direction of the acceleration.
Answer:
The acceleration is 2 m/s² in Camila's direction.
Explanation:
The acceleration can be found using the following equation:
\( \Sigma F = ma \)
Where
F is the force
m is the mass of the taffy = 1.5 kg
a is the acceleration =?
Since Emma pulls one end of the taffy with 20 N and Camila pulls the other end with 23 N we have:
\( F_{C} - F_{E} = ma \)
\(23 N - 20 N = 1.5 kg*a \)
\( a = 2 m/s^{2} \)
Hence, the acceleration is 2 m/s² in Camila's direction.
I hope it helps you!
A 10.0-kilogram block rests motionless on a horizontal, frictionless table. How
much work must be done to accelerate the block to a speed of
5.00 meters per second?
Answer:125 J
Explanation:
Given
Mass of block \(m=10\ kg\)
Initial velocity \(u=0\ m/s\)
Final velocity \(v=5\ m/s\)
According to the work-energy theorem, work done by all the forces is equal to the change in kinetic energy.
As the block is on the horizontal surface so, the work done by gravity is zero.
Work(W)=change in kinetic Energy
\(W=\dfrac{1}{2}m[v^2-u^2]\\W=\dfrac{1}{2}\times 10\times [5^2-0^2]=125\ J\)
a new product can be sprayed on plants to help the plants fight off a certain beetle. from a medical standpoint, which would have to be weighed against the usefulness of this product? (1 point)
When considering the use of a new product that can be sprayed on plants to help fight off a certain beetle, there are several medical factors that would need to be weighed against the usefulness of the product.
First, it is important to determine if the product poses any risk to human health, such as through exposure to the spray or ingestion of treated produce. Additionally, the potential impact on the environment and other non-target organisms must be considered. For example, if the spray kills beneficial insects or pollinators, this could have negative effects on overall ecosystem health.
Furthermore, the long-term effects of using the product must be considered. It is possible that prolonged use of the spray could lead to the development of resistant beetle populations, which would require the use of stronger and potentially more harmful chemicals in the future. It is also possible that the spray could have unintended consequences, such as altering the genetic makeup of the treated plants or affecting soil health.
Ultimately, the decision to use the product must be based on a thorough evaluation of its benefits and risks. While it may be effective in combating the beetle, it is important to ensure that its use does not pose unacceptable risks to human health, the environment, or other organisms.
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The distance between Carol's house and her uncle's house is 24 km. What is her speed in kilometers per hour in order to get to her uncles house in 40 minutes by motorcycle.
Carol's speed in kilometers per hour in order to get to her uncles house in 40 minutes by motorcycle is 36km/hr.
How to calculate average speed?The average speed of a moving body can be calculated by dividing the distance moved by the time taken.
According to this question, the distance between Carol's house and her uncle's house is 24 km. The speed it will take her to get to her uncle's house in 40 minutes by motorcycle is as follows:
Average speed = 24km ÷ 40/60 hour
Average speed = 36km/hr
Therefore, Carol's speed in kilometers per hour in order to get to her uncles house in 40 minutes by motorcycle is 36km/hr.
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Do you think it' eaier to tudy the phyical propertie of a ubtance? Do you think phyical or chemical propertie tell you more about that ubtance? Jutify your anwer
Yes, it is easier for us to study the physical properties of a substance because the change is noticeable.
For any physical substance, we can notice the change by looking at the substance for the first time. Sometimes these changes are visible and sometimes they are not.
The physical properties of the compound are very easy to change, like change in shape, change in temperature and change in state of the substance. But if we want to notice the chemical change, they are not noticeable from bare eyes.
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despite the fact that mercury has stronger intermolecular forces than water, water rises up in a glass tube while mercury moves down. why?
Which component has the highest wattage capability in a
cylindrical battery?
Separator
Electrolyte
Cell housing
Lithium
The component with the highest wattage capability in a cylindrical battery is the electrolyte. The correct option is B.
The wattage capability of a component refers to its ability to handle power or energy within the battery. In a cylindrical battery, there are multiple components, including the separator, electrolyte, cell housing, and lithium.
1. Separator: The separator in a battery is responsible for maintaining a physical barrier between the positive and negative electrodes. Its primary function is to prevent direct contact and short circuits. However, the separator does not directly contribute to the wattage capability of the battery.
2. Electrolyte: The electrolyte is a key component in a battery that facilitates the movement of ions between the electrodes. It acts as a medium for the flow of electrical charges during the battery's operation. The electrolyte's composition and properties play a significant role in determining the battery's overall performance, including its wattage capability.
3. Cell housing: The cell housing provides mechanical support and containment for the battery's components. It ensures the structural integrity of the battery but does not directly impact its wattage capability.
4. Lithium: While lithium is a vital component in lithium-ion batteries, it does not determine the wattage capability on its own. Instead, the wattage capability is influenced by factors such as the design, chemistry, and properties of the electrolyte.
In summary, the electrolyte has the highest wattage capability among the mentioned components. Its composition and properties directly impact the battery's ability to handle power and energy. Option B is the correct one.
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In the absence of a strong magnetic field), what is the chief factor that determines what type of electromagnetic radiation objects give off:____.
The chief factor that determines what type of electromagnetic radiation that objects give off in the absence of a strong magnetic field is their temperature.
What is the radioactive activity?The radioactive activity refers to the energy that a atomic nucleus can release in a given period of time due to the emission of different types of radiation.
This activity (radioactive activity) increases as temperature rises due to a higher collision of subatomic particles that form molecules.
In conclusion, the chief factor that determines what type of electromagnetic radiation in the absence of a magnetic field is temperature.
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A voltmeter around a resitor in a ciruit reads 4V and the resistor has a resistance of 6 Ω. What is th current in this circuit in amperes?
The current in this circuit in amperes is 0.67 Amperes.
What is the current in this circuit in amperes?The current in this circuit in amperes is calculated by applying Ohm's law as shown below;
Mathematically, the formula for ohm's law is given as;
V = IR
where;
I is the current in the circuitR is the resistance of the circuitI = ( V ) / ( R )
The current in this circuit in amperes is calculated as;
I = ( 4 V ) / ( 6 Ω )
I = 0.67 A
Thus, the current is a function of voltage and resistance of the circuit.
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how does she hold a newspaper while reading without using the lens? why?
In operant conditioning, many complex behaviors are learned through shaping. T or F
Answer:
true
Explanation:
Answer:
true
Explanation:
e2021
Who would like to Join A Bible Club
Here's the link For You to Sign Up If Interested
Requirements:
Be older than 10 and younger than 20
https://forms.gle/kjbkMRV9u1fLJnGu8
This is for You and For God !!!
“For the wages of sin is death, but the gift of God is eternal life in Christ Jesus our Lord” Romans 3:23
Answer:
alright
Explanation:
that's so cool I'll join
13. In Section 2.2, three ways to use physical properties are
discussed. Find one example in Section 5.3 that illustrates
each use. If necessary, reread pages 48 and 50.
Physical properties are used to identify and describe matter. They include
appearance (shape, size, color, texture)boiling/melting pointdensitysolubility viscositymalleability odorhow do astronomers now explain the fact that the energy emitting regions for quasars are so small?
Astronomers now explain the small size of the energy emitting regions in quasars through the concept of an accretion disk surrounding a supermassive black hole.
The size of the energy emitting regions in quasars appears small because the accretion disk is compact and confined to a relatively small region around the supermassive black hole. The intense gravity of the black hole compresses the matter in the disk, leading to high temperatures and strong energy emissions in a relatively confined area. Observations and theoretical models support this explanation, providing a coherent understanding of the small energy emitting regions in quasars within the framework of accretion disks surrounding supermassive black holes.
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a typical cyclotron frequency (frequency of rotation) for an electron in the ionosphere is 1.3 mhz. what is the magnetic field flux in µt? what is the magnetic field in a/m?
The cyclotron frequency (ω) of an electron in the ionosphere is 1.3 MHz. To find the magnetic field flux density (B), we can use the formula ω = eB/m, where e is the electron charge, B is the magnetic field flux density, and m is the electron mass.
Rearranging the formula, we get B = ωm/e. Substituting the given values, we get B = (1.3 x 10^6) x (9.11 x 10^-31)/(1.6 x 10^-19) = 9.1 x 10^-5 T = 91 µT (microtesla).
To find the magnetic field intensity (H) in amperes per meter (A/m), we can use the formula H = B/μ, where μ is the permeability of free space (4π x 10^-7 H/m).
Substituting the calculated value of B, we get H = (9.1 x 10^-5)/(4π x 10^-7) = 22.9 A/m. Therefore, the magnetic field flux density in µT is 91 µT, and the magnetic field intensity in A/m is 22.9 A/m.
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If an Isotope has a Half-life of minutes. How many Half-life's have occurred after 24 minutes?
Answer:12
Explanation:
You and your family are going on a trip in Europe. Calculate the speed in the following scenario. State how you calculated your answer and include correct units. A car travels 240 kilometers in 3 hours; What is the speed of the car during that time?
Answer:
22.2 m/s or 80 km/h
Explanation:
Given that
Distance travelled by the car, d = 240 km
Time taken by the car, t = 3 hours.
Speed of the car, v = ? m/s
for easy calculations, we will be converting the units to meters and seconds respectively.
240 km to meters would be
240 * 1000 m = 240000 m
3 hrs to seconds would be
3 * 60 mins * 60 seconds = 10800 s
now, we have our distance and time to be
d = 240000 m
t = 10800 s
speed is defined as the ratio of distance with respect to time taken, effectively,
Speed = distance/time
speed, v= 240000 / 10800
v = 22.2 m/s
therefore, the speed of the car during the time is 22.2 m/s, or if the speed is needed in km/h, we can convert it
22.2 * 3600/1000 =
80 km/h
What is the number used as the Gravitational Constant?
Answer:
G is called the constant of gravitation and is equal to 6.67 × 10−11 newton-metre2-kilogram−2.
Explanation:
A 25.5 kg video cart is rolled down a hallway. It is accelerated at 0.12 m/s2. If a force of 30 N is applied to move the cart, what force of friction do the wheels have against the floor??
A 25.5 kg video cart is rolled down a hallway. It is accelerated at 0.12 m/s2. If a force of 30 N is applied to move the cart . The wheels have 26.4 N force of friction against the floor
Force of friction is that force that resists the sliding or rolling of one solid object over another
F(applied) - friction = F net
30 - fr = mass * acceleration
30 - fr = 25.5 * 0.12
fr = 30 - 3.06
= 26.4 N
The wheels have 26.4 N force of friction against the floor
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