To find the radius of the cylinder that produces the minimum surface area, combine the volume equations and isolate for the radius. Then, use calculus to find the minimum point for the surface area. Round the resulting value to three decimal places.
Explanation:The subject of this mathematical problem involves the principles of calculus and geometry. The volume of the entire solid is the sum of the volume of the two hemispheres and the volume of the cylinder. Given that the total volume of the solid is 2 cm³, we know that the volume of the cylinder plus two times the volume of one hemisphere is equal to 2 cm³.
By expressing volume in terms of the radius, we can find that the radius equals the cube root of the volume divided by π (since the volume of a sphere is 4/3πr³ and the volume of a cylinder is πr²h, while considering the height of the cylinder equal to the diameter of the hemisphere). The surface area of the solid is the sum of the surface area of the two hemispheres and the surface area of the cylinder without tops (since those are covered by the hemispheres). To minimize the surface area, we need to use calculus, specifically the principles of differentiation and setting the derivative equal to zero to find a minimum. Once calculated, you can round the radius to three decimal places.
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When you make a cell phone call, which type of electromagnetic wave is most likely transmitting the signal?
microwaves
A microwave is an electromagnetic wave with a wavelength in the range 0.001–0.3 m, shorter than a normal radio wave but longer than an infrared wave.
About 40 j is required to push a crate 4 m across a floor. if the push is in the same direction as the motion of the crate, the force on the crate is about
To calculate the force exerted on a crate, divide the work done (40 J) by the distance moved (4 m) to get 10 N.
Explanation:You have asked how much force is required to push a crate across a floor if it takes about 40 joules (J) to push the crate 4 meters (m). The force can be calculated using the work-energy principle, where the work done on an object is equal to the force applied times the distance over which the force is applied, assuming the force is constant and in the direction of motion. In formula terms, this is expressed as Work (W) = Force (F) × Distance (d).
To find the force, we rearrange the formula for work to solve for F: F = W/d. Substituting the given values, we have F = 40 J/4 m. Therefore, the force exerted on the crate is 10 Newtons (N).
You are waiting to turn left into a small parking lot. a car approaching from the opposite direction has a turn signal on. you should _______________.
Which scientist first proposed physical laws to mathematically describe the effect of forces on the motions of bodies?
A kite suspended in the sky is flowing back and forth. Which type of friction is being described?
Answer:
C.) Fluid Friction.
Explanation:
I had this question.
A silica-rich igneous rock that has large crystals and makes up much of the continental crust is ________
Final answer:
Granite is a silica-rich igneous rock with large crystals, playing a significant role in the composition of the continental crust due to its quartz and feldspar content. It is less dense than the oceanic crust, contributing to the elevation of continental crust.
Explanation:
A silica-rich igneous rock that has large crystals and makes up much of the continental crust is granite. Granite is a coarse-grained, felsic, intrusive rock, characterized by the presence of quartz, which indicates its silica-rich nature. Additionally, granite commonly contains large amounts of salmon pink potassium feldspar and white plagioclase crystals visible cleavage planes, making it a good approximation of the continental crust in terms of density and composition.
The composition of continental crust largely consists of various types of igneous, metamorphic, and sedimentary rocks, with granite playing a significant role due to its less dense characteristics compared to the mafic rocks of the oceanic crust. This relatively low density contributes to the continental crust rising higher on the mantle compared to the oceanic crust. Furthermore, quartz and feldspar, significant components of granite, are the two most abundant minerals in the continental crust, emphasizing granite's fundamental role in the structure of the Earth's crust.
If you are in a rear-wheel skid, you must release your brakes and turn your steering wheel __________
a. into the direction of the skid.
b. opposite direction of the skid.
c. straight.
Answer:
a) into the direction of the skid
Explanation:
Creative Commons Attribution-Share Alike 3.0 Unported Look at the graph. Where P is price and Q is quantity, what might cause a move from B to A? Fewer workers are needed to manufacture the product. A nationwide discount program is implemented. New technologies make manufacturing more efficient. Two other firms open to manufacture the same product.
Argelia has a stack of schoolbooks sitting in the backseat of her car. When Argelia makes a sharp right turn, the books slide to the left of the seat until they come to a rest against the car door. Explain why this happens.
Answer:
The books slide to the left due to inertia, and then they come to a rest due to the force applied by the car door.
Explanation:
The entire motion of the books can be explained by using the first two laws of Newton:
- 1st Newton's law (also called Law of Inertia): an object at rest stays at rest and an object in motion stays in motion with constant velocity if no unbalanced forces act on it
- 2nd Newton's law: when an object is acted upon unbalanced forces, an acceleration is induced in the motion of the object, according to the equation
[tex]F=ma[/tex]
where F is the net force on the object, m is its mass and a is its acceleration.
Coming back to our problem:
- At the beginning, Argelia makes a sharp turn right. Due to the law of inertia, the books (which are not fixed to the car) continue their motion straight as it was before the curve: so, since the car is moving right, they appear to go the left of the car.
- When the books hit the car door, they stop moving due to the 2nd Newton's law: in fact, the car door applies an unbalanced force against the books, and as a result the books have a negative acceleration (=deceleration), so they slow down and eventually they stop.
The books moved due to the force that was applied and they came to rest due to inertia.
Inertia simply means the tendency to do nothing or to be able to remain unchanged. It is the resistance of any object to any change in the velocity of the object.
The books moved due to the force that was applied and they came to rest due to inertia. The book will be at rest as long as there's no force that acted on them.
In this case, the sharp turn of the car resulted in a force that acted on the car.
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A box is being pulled by two ropes. Eduardo pulls to the left with a force of 500 N, and Clara pulls to the right with a force of 200 N. The box moves because of the two forces applied to it. Leon records the forces and direction of the forces acting on the box in his lab notebook. In the table, which force has the wrong direction?
Tension by Eduardo
Tension by Clara
Kinetic friction
Gravity
Answer:
kinetic friction
Explanation:
You can find all the naturally occurring compounds on the periodic table. true or false
Suppose you throw a ball vertically downward with a speed of 10 m/s. neglecting air friction, what would be the speed of the ball one second later?
Answer:
The speed of the ball one second later is 19.8 m/s.
Explanation:
Given that,
Initial speed of the ball, u = 10 m/s
Let v is the speed of the ball after one second. The ball will move downward under the action of gravity, a = g
Using the first equation of motion as :
[tex]v=u+at[/tex]
[tex]v=u+gt[/tex]
[tex]v=10+9.8\times 1[/tex]
v = 19.8 m/s
So, the speed of the ball one second later is 19.8 m/s. Hence, this is the required solution.
If an object has a mass of 20 grams and a volume of 40 cm3, what is its density in g/cm3?
If an object has a mass of 20 grams its density in g/cm3 is [tex]0.5 g/cm^3[/tex]
What is density?The measure of how closely a material is packed together is called its density. The mass per unit volume is how it is defined. Density Formula: ρ = m/V, where ρ is the density, m is the object's mass, and V is its volume. Density Symbol:
[tex]density = \frac{mass}{volume}[/tex]
[tex]Density = \frac{20}{40}[/tex]
=[tex]0.5 g/cm^3[/tex]
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Why are chemicals and hot objects never placed directly on the balance pan?
Final answer:
To prevent damage to the balance and ensure accurate measurements, hot objects and chemicals are not placed directly on the balance pan but rather in appropriate containers or on heat-resistant mats.
Explanation:
Chemicals and hot objects are never placed directly on the balance pan because it can cause damage to the balance and lead to inaccurate measurements. Such items can affect the balance's mechanisms and result in erroneous readings. Hot objects can also pose a safety hazard and may harm the operator. Additionally, they might leave residue or cause chemical reactions that could contaminate the balance, further skewing future measurements. Therefore, it is essential to use appropriate containers or heat-resistant mats when weighing hot or chemically active specimens on a double-pan mechanical balance.
If 20 beats are produced within a single second, which of the following frequencies could possibly be held by two sound waves traveling through a medium along a common path at the same time
A. 38 Hz and 63 Hz
B. 18 Hz and 26 Hz
C. 47 Hz and 55 Hz
D. 22 Hz and 42 Hz
The correct choice is
D. 22 Hz and 42 Hz.
In fact, the beat frequency is given by the difference between the frequencies of the two waves:
[tex] f_B = |f_1 -f_2| [/tex]
In this problem, the beat frequency is [tex] f_B=20 Hz [/tex], therefore the only pair of frequencies that gives a difference equal to 20 Hz is
D. 22 Hz and 42 Hz.
A bowling ball weighs 7.26 kg and takes 3.64 seconds to travel the 19.2 m length of the bowling alley. assuming the velocity is constant, what is the kinetic energy of the bowling ball?
The kinetic energy of the bowling ball is 100.81 J.
Given data:
The mass of bowling ball is, m = 7.26 kg.
The time interval is, t = 3.64 s.
The length of path covered is, L = 19.2 m.
First obtain the speed of ball from the given equation,
[tex]v = \dfrac{L}{t}[/tex]
Here, v is the speed of ball.
Solving as,
[tex]v = \dfrac{19.2}{3.64}\\\\v=5.27 \;\rm m/s[/tex]
Now, the expression for the kinetic energy is,
[tex]KE = \dfrac{1}{2}mv^{2}[/tex]
Solve by substituting the values as,
[tex]KE = \dfrac{1}{2} \times 7.26 \times 5.27^{2}\\\\KE=100.81 \;\rm J[/tex]
Thus, we can conclude that the kinetic energy of the bowling ball is 100.81 J.
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The kinetic energy of the bowling ball is approximately 100.81 Joules, which is calculated using the mass of the ball, the distance it covers, and the time it takes to cover that distance with constant velocity.
The student is asking for the kinetic energy of a bowling ball that has a given mass and travels a certain distance in a specified time with constant velocity. To solve this, we must first calculate the velocity of the ball using distance and time, then use this velocity to determine the kinetic energy.
Step 1: Calculate the velocity.
Velocity (v) = Distance (d) / Time (t)
v = 19.2 m / 3.64 s
v = 5.27 m/s
Step 2: Calculate the kinetic energy (KE). The formula for KE is
[tex]KE = \frac{1}{2} X m X v^2\\KE = \frac{1}{2} X 7.26 \ kg X (5.27 \ m/s)^2\\KE = 100.81 \ Joules[/tex]
Therefore, the kinetic energy of the bowling ball is approximately 100.81 Joules.
What measurement can be used to determine the stability of the atmosphere?
Final answer:
The stability of the atmosphere is determined using various measurements such as temperature and pressure data, weather station and satellite observations, and analyses of natural records like tree rings and ice cores.
Explanation:
To determine the stability of the atmosphere, scientists and meteorologists use various measurements. These include temperature and pressure gradients, the analysis of weather station data, and satellite observations. For instance, observations from mountain summits can provide vital data above the main body of our atmosphere, while meteorological observations of meteors can offer insights into the height of Earth's atmosphere. Additionally, indicators like the annual rings in trees and ice core analysis can predict long-term atmospheric changes, such as Earth's temperature trends. CO₂ concentrations measured from ice traps and deuterium analysis also reveal historical climate data, informing about past atmospheric stability. Furthermore, the Gravity Recovery and Climate Experiment (GRACE) by NASA enables scientists to measure mass changes in Earth's water resources which is critical for understanding climatic and atmospheric variations.
Why is the transverse spatial extent of a photon proportional to its wavelength which is a longitudinal quantity?
Piece of cake
Chocolate cake
In quantum mechanics, the uncertainty principle also known as "Heisenberg's uncertainty principle" is any of a variety of mathematical inequalities, asserting a fundamental limit to the precision with certain pairs of physical properties of a particle known as complimentary variables, such as position X and momentum P can be known.
A circuit with a resistance of 25 ohms is carrying a current of 2
a. how much heat, in watts, is developed?
"how do the fundamental laws of physics make manifest that space has 3 dimensions?"
What principle of joint operations entails expending minimum essential combat power on secondary efforts in order to allocate the maximum possoble combat power on primary efforts?
The average adult heart pumps about 84./mls of blood at 72 beats per minute. suppose you need to calculate how long it would take the average heart to circulate 6600.ml of blood.
The heart takes [tex]\boxed{79{\text{ s}}}[/tex] to circulate [tex]6600{\text{ mL}}[/tex] of blood.
Explanation:
The average rate of blood pumping by adult heart at rate of [tex]72[/tex] beats per minute is [tex]84{\text{ }}{{{\text{mL}}}\mathord{\left/{\vphantom{{{\text{mL}}}{\text{s}}}}\right.\kern-\nulldelimiterspace}{\text{s}}}[/tex] .
Our aim is to obtain the time required by heart to circulate [tex]6600{\text{ mL}}[/tex] of blood.
The rate [tex]84{\text{ }}{{{\text{mL}}}\mathord{\left/{\vphantom{{{\text{mL}}}{\text{s}}}}\right.\kern-\nulldelimiterspace}{\text{s}}}[/tex] can be referred as the adult heart pumps [tex]84[/tex] milliliters of blood in one second at the rate of [tex]72[/tex] beats per minute.
Consider [tex]t[/tex] be the time required for heart to pump [tex]6600{\text{ mL}}[/tex] blood.
Since, in one second the heart pumps [tex]84{\text{ }}{{{\text{mL}}}\mathord{\left/{\vphantom{{{\text{mL}}}{\text{s}}}}\right.\kern-\nulldelimiterspace}{\text{s}}}[/tex] and this can be written as,
[tex]84{\text{ mL}}\Rightarrow 1{\text{ second}}[/tex]
In [tex]t[/tex] second the heart will pump [tex]6600{\text{ mL}}[/tex] of blood and this can be written as,
[tex]6600{\text{ mL}}\Rightarrow t{\text{ second}}[/tex]
The value of [tex]t[/tex] is calculated as shown below.
[tex]\begin{aligned}t&=\frac{{6600{\text{ mL}}\times 1{\text{ second}}}}{{84{\text{ mL}}}}\\&=\frac{{6600}}{{84}}{\text{ seconds}}\\&=78.57{\text{ seconds}}\\&\approx 79{\text{ s}}\\\end{aligned}[/tex]
Therefore, it takes heart to circulate [tex]6600{\text{ mL}}[/tex] of blood in approximately [tex]79{\text{ s}}[/tex].
Since, blood can flow so it is called as fluids. Fluid has no fixed shape and having definite volume.
The expression for density for any fluid can be written as,
[tex]\rho=\frac{m}{V}[/tex]
Here, [tex]{{\rho }}[/tex] is density, [tex]m[/tex] is the mass of the fluid and [tex]V[/tex] is the volume of fluid.
Thus, the heart takes [tex]\boxed{79{\text{ s}}}[/tex] to circulate [tex]6600{\text{ mL}}[/tex] of blood.
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Answer Details:
Grade: High School
Subject: Physics
Chapter: Fluids
Keywords:
Heart, pumps, 84 mL/s, blood, 72 beats, minute, long, average , circulate, 79 s, 6600 mL, fluids, property, calculate.
If you were asked to describe metals and magnetism you could say
a. non–paired electrons spin in opposite directions in all metals, creating a magnetic field.
b. metals are magnets because they have more electrons than non–magnetic materials.
c. metals can become magnetic if they have many spinning electrons that create magnetic fields.
d. the electrons in some metals pair up to create a magnetic field.
Answer:
d. the electrons in some metals pair up to create a magnetic field.
Explanation:
Magnetism is the property of attraction and repulsion of certain metals and magnets, which have a positive and a negative pole, characterized by “dipole forces”. When magnetism occurs the electrons in some metals come together to create a magnetic field. The Magnetic Field, in turn, is the concentration of magnetism that is created around a magnetic charge in a given space.
It is the electrons of metals that create the magnetic field, just as it is the electric charge and mass that respectively create the electric and gravitational fields.
What is the radius of a sphere with a surface area of 100πcm2? 10 cm 5 cm 25 cm 3 cm?
I think the answer is 5cm
Two soccer players kick the same 2-kg ball at the same time in opposite directions one kicks with a force of 15 n the other kicks with a force of 5 n what is the resulting acceleration of the ball in m/s2
Final answer:
The resulting acceleration of the soccer ball after being kicked in opposite directions by two players is 5 m/s^2, calculated using Newton's Second Law of Motion.
Explanation:
When two soccer players kick the same 2-kg ball in opposite directions with different forces, we calculate the resulting acceleration of the soccer ball by applying Newton's Second Law of Motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma).
In this scenario, one player kicks with a force of 15 N while the other kicks with a force of 5 N in the opposite direction. The net force on the ball is the difference between these two forces because they are applied in opposite directions. Therefore, the net force (Fnet) is:
Fnet = 15 N - 5 N = 10 N
To find the acceleration (a), we rearrange Newton's Second Law to solve for 'a':
a = Fnet / m
Substituting the values, we get:
a = 10 N / 2 kg = 5 m/s2
The police department is very proud of their new police cars. They announced that they are able to go from a stopped position to 80 miles per hour in 6 seconds. They are describing their cars' velocity. direction. speed. acceleration.
What is the ultimate source of energies for fossil fuels, solar cells and windmills?
A golfer hits a shot to a green that is elevated 2.90 m above the point where the ball is struck. the ball leaves the club at a speed of 19.2 m/s at an angle of 50.0˚ above the horizontal. it rises to its maximum height and then falls down to the green. ignoring air resistance, find the speed of the ball just before it lands. v = entry field with incorrect answer now contains modified data entry field with correct answer
Which of these statements best describes the difference between electromagnetic and gravitational forces in the solar system?
a. Electromagnetic forces have a shorter range than gravitational forces.
b. Electromagnetic forces are stronger than gravitational forces.
c. Electromagnetic forces are only repulsive but gravitational forces are both attractive and repulsive.
d. Electromagnetic forces are only attractive but gravitational forces are both attractive and repulsive.
Answer:
Electromagnetic forces are stronger than gravitational forces.
Explanation:
Electromagnetic and gravitational forces both are fundamental forces present in nature. The force that exists between the charged particles are electromagnetic forces while the force that exists between two objects in the universe is called gravitational force.
The one of the difference between these two forces is that the gravitational force is always attractive while the electromagnetic force can be attractive or repulsive.
Electromagnetic forces are stronger than gravitational forces. It is approximate 10³⁹ times stronger than gravitational force. Hence, the correct option is (b).
An important part of developing motivation includes understanding that motivation is influenced by your _____.
the answer is positive mindset : )