The negative term dominates and dV/dt is negative. Thus, the volume V of the cone is always decreasing, which means the correct answer is (A) V is always decreasing.
We have the formula for the volume of the cone V=1/3πr²h. Differentiating both sides with respect to time t, we get:
dV/dt = (1/3)π[2rh(dr/dt) + r²(dh/dt)]
We can substitute the given values, where dr/dt = -2 cm/min and dh/dt = 4 cm/min.
dV/dt = (1/3)π[2rh(-2) + r²(4)]
dV/dt = (8/3)πr²h - (4/3)πrh²
The first term is positive while the second term is negative. Since r is decreasing and h is increasing, rh is increasing but r² is decreasing faster than rh is increasing. Therefore, the negative term dominates and dV/dt is negative.
So, the volume V of the cone is always decreasing, which means the correct answer is (A) V is always decreasing.
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A bowling ball with 218 J of kinetic energy is moving at 8.0 m/s. What is the mass of the bowling ball?
Why do we need to convert mass to moles in stoichiometry problems.
If two forces act on an object, what is the relationship between the two forces? (pls explain)
A. The larger force causes the same acceleration as the smaller.
B. The larger force causes more acceleration than the smaller.
C. The larger force causes less acceleration than the smaller.
D. The smaller force and the larger force are balanced and therefore causes no acceleration.
Answer:
B. The larger force causes more acceleration than the smaller.
Explanation:
For example, let me use a child and a grown up. The child represents the smaller force while the grown up represents the larger force. If they are pushing the same object of different sides, obviously the side with the grown up will push and move to the side of the child because it is stronger.
a star simultaneously emits red light, blue light, x-rays, and radio waves in the direction of the earth. which will arrive first?
The answer is that the radio waves will arrive first at the Earth when a star emits red light, blue light, x-rays, and radio waves.
This is due to the fact that radio waves are long-wavelength electromagnetic radiation. As a result, they are less likely to be impeded or absorbed by the intervening space medium, and they can propagate without being affected by any other disturbances in the cosmos.
Furthermore, radio waves are not influenced by the earth's atmosphere, which is responsible for interfering with the passage of light rays to the surface of the earth. In other words, radio waves can traverse enormous distances in space without being obstructed or attenuated by any physical barrier.
Light rays, on the other hand, propagate via a straight line, which is known as the line of sight. Light rays may be deflected or absorbed by cosmic dust, gas clouds, or other materials found in interstellar space. This may cause them to travel in different directions, which might cause them to be redirected from their initial path. As a result, light rays must contend with these obstacles before reaching the earth, which may cause them to be weakened or distorted by the time they arrive.
Similarly, X-rays are also electromagnetic radiation but they are absorbed by interstellar matter. They are also affected by magnetic fields, and they might be redirected from their path as a result of the interstellar medium. This might cause them to be slowed down and travel a longer distance, making their journey longer.
Thus, radio waves will arrive first because of their long wavelength and low interaction with cosmic matter.
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during a sprint, what force is actually propelling the sprinter across the ground?
The main force propelling the sprinter across the ground during a sprint is the force of muscular contraction.
During a sprint, the sprinter's muscles generate force through the process of muscular contraction. When the sprinter pushes against the ground with their feet, the muscles in their legs contract, generating a force that propels them forward. This force is transmitted through the legs and feet, resulting in the sprinter's movement across the ground. The magnitude and direction of the force generated by the muscles determine the speed and direction of the sprinter's motion.
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True or false? Fluid friction is a force that opposes the motion of an object through fluid such as water ?
Answer: True
Explanation: The force of friction opposes the motion of an object, causing moving objects to lose energy and slow down. When objects move through a fluid, such as air or water, the fluid exerts a frictional force on the moving object. The frictional force from a fluid is called a drag force.
Help help help Help help help Please Please Please Please Please Please fast fast fast fast fast fast fast fast fast fast fast fast
Which statement describes the system of orbits from smallest to largest?
Universes orbit galaxies that orbit solar systems.
Stars orbit planets that orbit moons.
Solar systems orbit galaxies that orbit the universe.
Moons orbit planets that orbit stars.
Answer:
A
Explanation:
A
Answer:D
Explanation:
water flows through a pipe with some diameter at 15 m/s. if the pipe narrows to half its original diameter, what is the new flow speed?
The new flow speed of water through the narrowed pipe would be 60 m/s.
According to the principle of conservation of mass, the mass of water flowing through the pipe should remain constant at any point. As the pipe narrows to half its original diameter, the cross-sectional area of the pipe reduces to 1/4th of its original area. To maintain a constant mass flow rate, the velocity of water must increase in the narrowed section of the pipe.
The formula for mass flow rate (Q) is:
Q = A * v * ρ
Where A is the cross-sectional area of the pipe, v is the velocity of the fluid, and ρ is the density of the fluid.
Since the mass flow rate remains constant, we can equate the mass flow rate before and after the narrowing of the pipe.
Q1 = Q2
A1 * v1 * ρ = A2 * v2 * ρ
Since the pipe narrows to half its original diameter, A2 is 1/4th of A1. Therefore, we can substitute A2 = A1/4 in the above equation and simplify it to get:
v2 = 4 * v1
Hence, the new flow speed of water in the narrowed pipe is four times the original flow speed. Substituting the given values, we get:
v2 = 4 * 15 m/s = 60 m/s
Therefore, the new flow speed of water through the narrowed pipe would be 60 m/s.
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There are seven fundamental quantities in physics. true or false
Answer:
True
Explanation:
mass, length, time, electric current, temperature, luminous intensity and amount of substance
Which of the fillowing scenarios describle a car that is accelerating?
A. a car that is gradually coming to a stop?
B. a cor going, constant 50 mph on a straight road
C. a car that is changing lanes?
D. a car that is entering a highway from on entrance ramp?
Answer:
DDDDDDDDDDDDDDDDDDDDDDDDDDD
when a substance changes states, it
either or energy
Explanation:
Energy is always involved in changes of state. Matter either loses or absorbs energy when it changes from one state to another. For example, when matter changes from a liquid to a solid, it loses energy. The opposite happens when matter changes from a solid to a liquid.
A car travels at 54 km/h for first 20 s, 36 km/h for next 30 s and finally 18 km/h for next 10 s. Find its average speed.
Explanation:
The average speed is equal to total distance over total time
The formula for distance is s=v×t
So the average speed would be:
v=(v1×t1)+(v2×t2)+(v3×t3)/t1+t2+t3
Now we can solve:
v=(54×20)+(36×30)+(18×10)/60s
v=2340/60
v=39km/h
If you need to convert to m/s, divide by 3.6 and you get 10.8333 m/s
Hope this helps!
A man pushes a box along a flat, frictionless surface using a force of 500 N. The box was moved a distance of 2.5 m. The actual work done by the worker was _____
Answer:
Workdone = 1250Nm
Explanation:
Given the following data;
Force, F = 500N
Distance, d = 2.5m
Workdone is given by the formula;
\( Workdone = force * distance\)
Substituting into the equation, we have
\( Workdone = 500 * 2.5 \)
Workdone = 1250Nm
Therefore, the actual work done by the worker is 1250 Newton-meter.
The actual work done by the worker is 1250 J.
Work can be defined as the product of force and distance. The s.i unit of work is Joules
The formula of work is
W = Fd....................... Equation 1
Where W = work done by the worker, F = Force, d = distance.
From the question,
Given: F = 500 N, d = 2.5 m
Substitute these values into equation 1
W = 500×2.5
W = 1250 J
Hence, the actual work done by the worker is 1250 J
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A copper piece cannot br made a magnet why
Answer:
1. A copper piece cannot be changed into magnets, because -
• Only the ferromagnetic metals (the metals which have magnetic properties) can be changed into electromagnets or permanent magnets.
• But,copper is not a ferromagnetic metal and that's why we cannot change the copper into any kind of magnets
Explanation:
A football player kicks a football off a tee with a speed of 21 m/s at an angle of 51°. what is the horizontal component of the velocity?
Answer:
The horizontal component of the velocity is approximately 13.22 m/s
Explanation:
The velocity of the kick which the football player gives the ball = 21 m/s
The angle of the path taken by the ball = 51°
The velocity can be represented vectorially, showing the vertical and horizontal components as follows;
v = 21 × cos(51°)·\(\hat i\) + 21 × sin(51°)·\(\hat j\)
Where we have;
The horizontal component of the velocity = 21 × cos(51°)
The vertical component of the velocity = 21 × sin(51°)
Therefore;
The horizontal component of the velocity = 21 × cos(51°) ≈ 13.22 m/s
The horizontal component of the velocity ≈ 13.22 m/s.
how much boiling water at 100 ∘c must you add to this beaker so that the final temperature of the mixture will be 75.5 ∘c ?
To achieve a final temperature of 75.5°C, you need to add an appropriate amount of boiling water at 100°C to the beaker.
How much boiling water should be added to reach a final temperature of 75.5°C?To determine the amount of boiling water needed to achieve a final temperature of 75.5°C, several factors come into play. The specific heat capacities and initial temperatures of both the beaker and the boiling water must be considered. Additionally, the volume of the beaker and the desired final temperature play a crucial role.
The process involves transferring heat from the boiling water to the beaker until thermal equilibrium is reached. The heat gained by the beaker is given by the equation Q = mcΔT, where Q represents heat, m denotes mass, c represents the specific heat capacity, and ΔT represents the change in temperature.
By manipulating this equation and considering the conservation of energy, we can calculate the mass of the boiling water required. Once the mass is determined, it can be converted to volume using the density of water.
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HELP
a single beam of white light shine through this glass triangular prism below: What is happening to the speed of light as it moves from the air to the glass of the prism? options: The speed of light is increasing, creating the rainbow effect. The speed of light is decreasing, creating the rainbow effect. The speed of light does not change, only the angle creates the rainbow. The speed of light does not change, the rainbow is created because the prism is made of glass.
Answer:
speed of light is decreasing, creating the rainbow effect
Explanation:
the prism is acting as a vaccum, when light enters a vaccum it's refracted
Where are fossil fuels found?
А
in the air
B
in the Earth
с
in trees
D
in animals
Answer:
in earth
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Answer:
B. in the Earth
Explanation:
Fossil fuels are found in the Earth's crust and contain carbon and hydrogen, which can be burned for energy.
Brainlist pls!
The location where an earthquake begins
A. Strike-Slip fault
B. Epicenter
C. Focus
D. Seismogram
Answer:
b
Explanation:
the location where an earthquake begin is called
The specific heat capacity of a substance is the energy needed to raise the temperature of 1 __________ of the substance by 1 __________
The specific heat capacity of a substance is the energy needed to raise the temperature of 1 gram of the substance by 1 degree Celsius.
A substance's specific heat capacity (c), often known as its specific heat, is the amount of heat needed to increase 1 gram of that substance's temperature by 1 degree Celsius (or 1 kelvin). It can be expressed as follows:
c = q/mΔT
where q is the heat supplied, c is the constant of proportionality, called specific heat capacity of the body, m is the mass of the substance, and T is the temperature.
Just the type of substance that absorbs or releases heat determines a substance's specific heat capacity. It is an intense property—it doesn't matter how much of a substance there is; only its type does.
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Which of the following accurately describes the energy stored on a parallel plate capacitor?A) The energy is inversely proportional to the charge stored on the capacitor.
B) The energy is directly proportional to the potential across the capacitor.
C) The energy is directly proportional to the capacitance of the capacitor.
F) The energy in proportional to the square the charge stored on the capacitor.
The energy is directly proportional to the capacitance of the capacitor, accurately describes the energy stored on a parallel plate capacitor.
What is capacitor?
A capacitor is an electronic component that stores electrical energy in an electric field. It consists of two conductive plates separated by an insulating material known as a dielectric. When a voltage is applied across the plates, it creates an electric field between them, which causes opposite charges to accumulate on the plates. The amount of charge that a capacitor can store is determined by its capacitance, which is a measure of the capacitor's ability to store charge for a given voltage. Capacitors are used in a variety of electronic circuits to filter out unwanted frequencies, smooth out power supplies, and store electrical energy for later use. They come in many different sizes and shapes, including ceramic, electrolytic, and tantalum capacitors.C) The energy is directly proportional to the capacitance of the capacitor.
The energy stored on a parallel plate capacitor is given by the formula:
E = 1/2 * C * V^2
where E is the energy stored, C is the capacitance of the capacitor, and V is the potential difference across the capacitor.
This formula shows that the energy stored on a parallel plate capacitor is directly proportional to the capacitance of the capacitor. Therefore, option C accurately describes the energy stored on a parallel plate capacitor.
Option A is incorrect because the energy stored is directly proportional to the potential difference across the capacitor, not inversely proportional to the charge stored.
Option B is incorrect because although the energy stored is related to the potential difference across the capacitor, it is not directly proportional to it.
Option F is also incorrect because the energy stored is proportional to the square of the potential difference across the capacitor, not the square of the charge stored.
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if you double your driving speed what happens to your stopping distance (the distance it takes to stop the car)?
If you double your driving speed, then the stopping distance will be four times the original.
What is the equation of motion?Equations of motion are equations that describe a physical system's behavior in terms of its motion as a function of time. Equations of motion, The three equations of the motion are,
v - u = atS = ut + 0.5(at²)v² - u² = 2aswhere
S is the distance,
u is the initial velocity,
v is the final velocity,
t is the time,
a is the acceleration.
Given that the car is traveling at a speed and is needed to be stopped, therefore, the car will deaccelerate. Also, the final velocity of the car will become 0. Therefore, we can write,
v² - u² = 2as
Substitute the values,
Final velocity, v = 0Initial velocity, u = uDistance covered, s = s₁Acceleration, a = -aTherefore, we can write,
v² - u² = 2as₁
(0)² - u² = 2(-a)s₁
-u² = -2as₁
u² = 2as₁
s₁ = u² / 2a
Now, if you double your driving speed. Therefore, we can write,
v² - u² = 2as
Substitute the values,
Final velocity, v = 0Initial velocity, u = 2uDistance covered, s = s₂Acceleration, a = -aTherefore, we can write,
v² - u² = 2as₂
(0)² - (2u)² = 2(-a)s₂
-4u² = -2as₂
4u² = 2as₂
s₂ = 4u² / 2a
Since u²/2a is equal to s₁, therefore, we can write,
s₂ = 4(u² / 2a)
s₂ = 4(s₁)
Hence, if you double your driving speed, then the stopping distance will be four times the original.
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In which of the following situations is work NOT done?A.You carry your trophy to the living room. B.You throw the ball to your friend.C.You put your trophy at the top shelf which is higher than you. D.You drag your heavy dog on a walk.
work si defined as Force multiplied by distance.
Since in situation B there's no force applied on the ball we conclude that theres in no work done in that sitaution.
If a switch is open in a series circuit with a battery trying to light a bulb, what will happen? The bulb will light up. O The switch is not working. O The bulb will not light up. HELP PLEASE THIS TEST IS IMPORTANT TO ME
Answer:
The bulb will not light up
If the switch is open then the connection between the circuit broken and the bulb stops glowing The circuit needs to be closed and connected.The circuit is the closed path through which current flows. It consists of cell , battery , wires, resistors etcd. The bulb will not light up.
What is a series circuit?A series circuit comprises a path along which the whole current flows through each component.
According to the question,
When the switch is open, the light cannot operate since the circuit is not complete.
There is no closed-loop path for the current to flow through the circuit. When the switch is closed, the light bulb operates since the current flows through the circuit.
If the switch is open then the connection between the circuit broken and the bulb stops glowing.
For light up the bulb , the circuit needs to be closed and connected.
Only the circuit which have closed path will flows the current. It consists of cell , battery , wires, resistors etc.
Therefore,
The bulb will not light up, if a switch is open in a series circuit with a battery trying to light a bulb.
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Newton's second law contains in it all the information of Newton's first law. However, Newton's first law is simpler; thus, using the first law instead of the second can simplify an analysis. Whic of the following situations are best understood using Newton's first law of motion, and not Newton's second law of motion. Check all that apply A parked car A free falling rock A car on cruise control turning in a circle A car traveling in a straight line on cruise control
The situation that is understood using Newton's first law of motion, and not Newton's second law of motion are "A parked car" and "A car traveling in a straight line on cruise control"
Newton's first law of motion, also known as the law of inertia, states that an object at rest will remain at rest, and an object in motion will remain in motion at a constant velocity, unless acted upon by an external force. This law is best suited for situations where there is no net force acting on an object, such as a parked car or a car traveling in a straight line on cruise control.
On the other hand, Newton's second law of motion relates the acceleration of an object to the net force acting on it and its mass. This law is better suited for situations where there is a net force acting on an object, such as a free falling rock or a car on cruise control turning in a circle.
Therefore, the situations best understood using Newton's first law of motion are the parked car and the car traveling in a straight line on cruise control, and the situations best understood using Newton's second law of motion are the free falling rock and the car on cruise control turning in a circle.
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The parallel plates in a capacitor, with a plate area of 8.00 cm2 and an air-filled separation of 2.70 mm, are charged by a 8.70 V battery. They are then disconnected from the battery and pulled apart (without discharge) to a separation of 6.80 mm. Neglecting fringing, find (a) the potential difference between the plates, (b) the initial stored energy, (c) the final stored energy, and (d) the work required to separate the plates.
Answer:
a) ΔV₁ = 21.9 V, b) U₀ = 99.2 10⁻¹² J, c) U_f = 249.9 10⁻¹² J, d) W = 150 10⁻¹² J
Explanation:
Let's find the capacitance of the capacitor
C = \(\epsilon_o \frac{A}{d}\)
C = 8.85 10⁻¹² (8.00 10⁻⁴) /2.70 10⁻³
C = 2.62 10⁻¹² F
for the initial data let's look for the accumulated charge on the plates
C = \(\frac{Q}{\Delta V}\)
Q₀ = C ΔV
Q₀ = 2.62 10⁻¹² 8.70
Q₀ = 22.8 10⁻¹² C
a) we look for the capacity for the new distance
C₁ = 8.85 10⁻¹² (8.00 10⁻⁴) /6⁴.80 10⁻³
C₁ = 1.04 10⁻¹² F
C₁ = Q₀ / ΔV₁
ΔV₁ = Q₀ / C₁
ΔV₁ = 22.8 10⁻¹² /1.04 10⁻¹²
ΔV₁ = 21.9 V
b) initial stored energy
U₀ = \(\frac{Q_o}{ 2C}\)
U₀ = (22.8 10⁻¹²)²/(2 2.62 10⁻¹²)
U₀ = 99.2 10⁻¹² J
c) final stored energy
U_f = (22.8 10⁻¹²) ² /(2 1.04 10⁻⁻¹²)
U_f = 249.9 10⁻¹² J
d) the work of separating the plates
as energy is conserved work must be equal to energy change
W = U_f - U₀
W = (249.2 - 99.2) 10⁻¹²
W = 150 10⁻¹² J
note that as the energy increases the work must be supplied to the system
positron emission tomography (pet) studies of patients with schizophrenia have found
Positron emission tomography (PET) studies of patients with schizophrenia have found various patterns of brain activity and neurotransmitter abnormalities associated with the condition. Some key findings from PET studies in schizophrenia include:
Dopamine Dysregulation: PET studies have revealed an imbalance in dopamine neurotransmission in the brains of individuals with schizophrenia. Excessive dopamine activity in certain brain regions, such as the mesolimbic pathway, is associated with positive symptoms of schizophrenia, including hallucinations and delusions.Hypofrontality: PET scans have shown reduced metabolic activity in the frontal cortex of individuals with schizophrenia. This "hypofrontality" may be related to cognitive impairments and negative symptoms experienced by patients, such as decreased motivation and social withdrawal.
Abnormal Glutamate Levels: PET studies have suggested alterations in glutamate neurotransmission in individuals with schizophrenia. Glutamate is an excitatory neurotransmitter involved in various cognitive processes. Disruptions in glutamate signaling may contribute to cognitive deficits observed in schizophrenia.Brain Connectivity: PET imaging has also provided insights into altered functional connectivity in the brains of individuals with schizophrenia. Aberrant patterns of connectivity between different brain regions have been associated with symptoms and cognitive impairments in the disorder.
It is important to note that findings from PET studies in schizophrenia can vary across individuals and may not be consistent across all patients. More research is needed to fully understand the complex neurobiological mechanisms underlying schizophrenia
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What is the force of a 3 kg skateboard accelerating at a rate of 4m/s2?
Plug in the numbers: Force= mass x acceleration
Answer:
F = 12 N
Explanation:
F = m × a
F = 3 × 4
F = 12 kg m/s²
F = 12 N
Select the correct answer.
Which statement about pneumatic systems is true?
A.
Pneumatic systems generate greater force than hydraulic systems.
B.
Pneumatic systems are safe to use at any level of pressure.
C.
Pneumatic systems are more expensive than hydraulic systems.
D.
Pneumatic systems are cleaner than hydraulic systems.
Statement D about pneumatic systems is true. Pneumatic systems are cleaner than hydraulic systems.
What is the pneumatic system?Pneumatic systems are employed in a wide range of manufacturing and assembly applications. They can be used to transport objects on production lines as well as in maintenance facilities.
In hydraulic systems liquid is used as fluid for the force transmission. While in the pneumatic system air is used causing more cleanliness in the system.
The pneumatic systems are cleaner than hydraulic systems.
Hence, a statement D about pneumatic systems is true.
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