Assuming a constant density, the size of an object scales as its mass raised to the power of 1/3 (one-third).
The mass, density, and volume of an object are related by the equation:
ρ = m/Vwhere ρ is the density, m is the mass, and V is the volume.
We can write this equation as
V = m/ρThis equation can be used to find the relationship between the mass and volume of an object of constant density.
Assume that we have two objects of the same material with masses m1 and m2.
We can find the ratio of their volumes by taking the ratio of their masses and density as follows:
V1/V2 = m1/ρ / m2/ρV1/V2 = m1/m2V1/V2 = (m1/m2)^(1/3)
This shows that the ratio of the volumes of two objects with the same density is proportional to the cube root of the ratio of their masses.
This relationship can be expressed as:
V ∝ m^(1/3)
This relationship can also be expressed as the size of an object scales as its mass raised to the power of 1/3.
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24. Heat transfer by convection occurs when: A. Atoms give off energy in the form of radiation B. A large number of atoms move from one place to another C. Electrons collide with other electrons and with atoms. D. Electromagnetic waves travel though space to heat up an object.
Answer:
B. A large number of atoms move from one place to another
Explanation:
Convection is heat transfer by the movement of atoms of a substance from one region to another across a temperature gradient. Since atoms of solids are rigidly held in place, convection only occurs in liquids and gases since they flow.
Convection occurs when the temperature of one region of a fluid (liquid or gas) is higher than its other region. There is thus a mass movement of atoms from one region to the other due to a temperature difference. The atoms will continue to move to the region of lower temperature until the temperature of both regions are the same at an equilibrium temperature.
An electric field of constant magnitude ???? is tangent everywhere to a curved surface of area ????. What is the electric flux through the curved surface?a) Zerob) EAc) –EAd) 2EAe) Not enough information
The electric flux through the curved surface is given by Φ = EA, which is option (b).
The electric flux through a closed surface is defined as the total electric field passing through that surface. In this case, we have a curved surface with a constant electric field tangent to it.
The formula for electric flux is given by Φ = ∫E⋅dA, where Φ is the electric flux, E is the electric field, and dA is the differential area vector.
Since the electric field is tangent to the surface, we can write E⋅dA = E dA cosθ, where θ is the angle between the electric field and the differential area vector. Since the electric field and the differential area vector are parallel, θ = 0, and cosθ = 1. Thus, E⋅dA = EdA.
The integral then simplifies to Φ = E ∫dA = EA, where A is the total area of the curved surface.
Therefore, the electric flux through the curved surface is given by Φ = EA.
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A ball attached to a string is whirled around in a horizontal circle having a radius r. if the radius of the circle is changed to r/4 and
A ball is attached to a string that is whirled around in a horizontal circle having the radius of r. If the radius of the circle is changed to r/4 and the same centripetal force is applied by the string, the new speed of the ball is one-half the original speed.
The formula for the centripetal force is
F = mv² / r
where F is the centripetal force
m is the mass of the ball
v is the velocity of the ball
r is the radius of the circular movement
Let us rearrange the equation,
\(\displaystyle v = \sqrt{\frac{Fr}{m}\)
If the radius of the circular movement is reduced as r/4, then the velocity becomes,
\(\displaystyle v = \sqrt{\frac{Fr}{4m}\)
\(\displaystyle v = \frac{1}{2} \sqrt{\frac{Fr}{m}\)
which means that if the radius is reduced by one of forth the original, then the velocity will be reduced by twice the original.
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The complete question is
A ball attached to a string is whirled around in a horizontal circle having a radius of r. If the radius of the circle is changed to r/4 and the same centripetal force is applied by the string, the new speed of the ball is which of the following?
(A) One-quarter the original speed
(B) One-half the original speed
(C) The same as the original speed
(D) Twice the original speed
(E) Four times the original speed
if the environmental lapse rate (elr) of the atmosphere surrounding a rising parcel of air is greater than the dar (i.e. >10co/1000m), then:
If the environmental lapse rate (ELR) of the atmosphere surrounding a rising parcel of air is greater than the dry adiabatic rate (DAR) of 10°C/1000m, certain conditions and phenomena can be inferred.
When the ELR is steeper than the DAR, it indicates a condition of instability in the atmosphere.
This means that the surrounding air cools at a faster rate than a rising parcel of air would if it were undergoing adiabatic cooling.
As a result, the parcel of air becomes warmer compared to its surroundings, making it less dense and causing it to continue rising.
The steep ELR exceeding the DAR signifies an environment conducive to the development of convective processes such as thunderstorms, cumulus clouds, and other forms of unstable atmospheric phenomena.
The increased lapse rate creates an environment where the parcel of air continues to rise and can reach higher altitudes, potentially leading to the formation of significant weather events and atmospheric instability.
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a vector points 12.0 units along the x-axis and 9.00 units along the y-axis. find the magnitude of the vector
Explanation:
R = \(\sqrt{(12.0)^{2} + (9.00)^{2}}\) = 15 UNIDADES
What is the estimated density of the table tennis ball?
Answer:
tennis ball 0.07, Golf ball 1.37
Answer: step 6 answer is 0.07 g/cm3 and golf ball is 1.15 g/cm3
Explanation: doing lab.. step 6 answer on Edg
Convert the heat of neutralization of acetic acid from -51 kj/mmol to calories per millimole and ROUND TO ONE DECIMAL PLACE (1 cal = 4.184 J)
The heat of neutralization of acetic acid from -51 kj/mmol to calories per millimole is 12189.3 cal/mmol.
What is the heat of neutralization of a substance?The heat of neutralization of a substance is the amount of heat given off when one mole of water is produced from the reaction of an acid and a base.
The heat of neutralization of different acids and bases varies.
The heat of neutralization of acetic acid is given as -51 kj/mmol.
This means that 51 kJ of heat is given when 1 mmole of acetic acid reacts with a base to form water.
To convert the heat of neutralization of acetic acid from -51 kj/mmol to calories per millimole, we use the conversion factor between energy in Joules and energy in calories.
The conversion factor is given below:
1 cal = 4.184 Joules
51 kJ = 51000 Joules
51000 Joules = 51000 * 1 cal / 4.184 Joules
51000 Joules = 12189.3 calories
Hence, the heat of neutralization in cal/mmol is 12189.3 cal/mmol
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a wave with a frequency of 200 hzhz and a wavelength of 12.7 cmcm is traveling along a cord. the maximum speed of particles on the cord is the same as the wave speed.
The wave speed is given by the formula: wave speed = frequency x wavelength. Therefore, for the given wave with a frequency of 200 Hz and a wavelength of 12.7 cm, the wave speed is: wave speed = 200 Hz x 12.7 cm = 2540 cm/s
Since the maximum speed of the particles on the cord is the same as the wave speed, this means that the particles are moving at a maximum speed of 2540 cm/s as the wave travels along the cord.
This maximum speed of the particles occurs when the wave is at its peak or crest. At the point of equilibrium (i.e. when the wave is at its trough), the particles have zero velocity.
Thus, the particles on the cord oscillate back and forth about their equilibrium position with a maximum amplitude of 12.7 cm as the wave passes along the cord.
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If the input force on the
chopsticks from the hand is 3 N, what is the output
force on the piece of food the chopsticks pick up?
The output force on the piece of food the chopsticks pick up is mechanical advantage times 3 N.
What is mechanical advantage?The force amplified by utilising a tool, mechanical device, or machine system is known as mechanical advantage. To achieve the desired output force amplification, the gadget trades off input forces against movement.
Mathematically:
mechanical advantage = output force/input force
Given that input force = 3 N.
Hence, output force = mechanical advantage × 3 N.
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Which type of protist is animal AND plant like?
Answer:
Protists are called plant-like, fungus-like and animal-like because they share some of the characteristics of plants, fungi and animals, even though they belong in a different category: the kingdom Protista.
Explanation:
The force on an object is given by the equation F = ma. In this equation, F is the force, m is the mass, and a is the acceleration. What is the force on an object that has a mass of 540 kg and an acceleration of 2.3 m/s2?
A.
1242 N
B.
542.3 N
C.
1,925,000 N
D.
234.8 N
The force acting on the object that has a mass of 540 kg is 1242 N. The correct answer is A.
The equation F = ma represents Newton's second law of motion, which states that the force acting on an object is directly proportional to its mass and the acceleration it experiences. This means that if we know the mass of an object and its acceleration, we can use this equation to calculate the force acting on it.
In this case, we are given that the mass of the object is 540 kg and the acceleration is 2.3 m/s². Using the equation F = ma, we can substitute the given values and calculate the force:
F = ma
F = 540 kg x 2.3 m/s²
F = 1242 N
Therefore, the correct answer is A.
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If a soil has a bulk density of 1.4Mg/m 3
and a particle density of 2.66Mg/m 3
, what percentage of the soil volume is pore space and what percentage is solid particles?
Approximately 47.37% of the soil volume is pore space, and approximately 52.63% is solid particles.
To calculate the percentage of pore space and solid particles in the soil volume, we can use the following formula:
Pore space percentage = ((Particle density - Bulk density) / Particle density) x 100
Solid particles percentage = 100 - Pore space percentage
Given:
Bulk density = 1.4 Mg/m³
Particle density = 2.66 Mg/m³
Substituting the values into the formulas:
Pore space percentage = ((2.66 - 1.4) / 2.66) x 100
Solid particles percentage = 100 - Pore space percentage
Calculating the values:
Pore space percentage ≈ 47.37%
Solid particles percentage ≈ 52.63%
Therefore, approximately 47.37% of the soil volume is pore space, and approximately 52.63% is solid particles.
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Use these images to identify each state of matter. O O CC 0 COM A B C
Answer:
A=Gas
B= Solid
C=Liquid
Explanation:
A gas has the particles dispersed everywhere
so A is the gas
Liquid and Solid have them more close together
but the solid has them in some order
so as you can see
B is solid
and
C is liquid
Which formula can be used to calculate average speed (v) for steady motions?
Convert Gravitational constant (G) = 6.67×10^-11 Nm²kg^-2 to cm³ g ^-1 s^-2.
Answer:
6.67×10⁻⁸ cm³/g/s²
Explanation:
6.67×10⁻¹¹ Nm²/kg²
= 6.67×10⁻¹¹ (kg m/s²) m²/kg²
= 6.67×10⁻¹¹ m³/kg/s²
= 6.67×10⁻¹¹ m³/kg/s² × (100 cm/m)³ × (1 kg / 1000 g)
= 6.67×10⁻⁸ cm³/g/s²
A 193.1g mass is hung from a 19.4g clamp on the right side of the stick, a 183.9 mass is hung from a 12.1g clamp on the left side of the meter stick. Determine the total torque from the unknown mass
The total torque created by the two known masses is 1.848 Nm.
How to calculate the torqueWe can use the formula for torque, which is given by:
τ = F x r x sin(θ)
where τ is the torque, F is the force applied, r is the distance from the pivot point to the point where the force is applied, and θ is the angle between the force and the lever arm.
For the first mass (193.1 g), the force applied is the weight of the mass, which is:
F1 = m1 x g = 0.1931 kg x 9.81 m/s^2 = 1.893 N
The distance from the pivot point to the point where the force is applied is half the length of the meter stick, which is:
r1 = L/2 = 0.5 m
The angle between the force and the lever arm is 90 degrees, so:
θ1 = 90 degrees
Using these values, we can calculate the torque created by the first mass as:
τ1 = F1 x r1 x sin(θ1) = 1.893 N x 0.5 m x sin(90 degrees) = 0.9465 Nm
For the second mass (183.9 g), we can follow the same procedure and find:
F2 = m2 x g = 0.1839 kg x 9.81 m/s^2 = 1.803 N
r2 = L/2 = 0.5 m
θ2 = 90 degrees
τ2 = F2 x r2 x sin(θ2) = 1.803 N x 0.5 m x sin(90 degrees) = 0.9015 Nm
The total torque created by the two known masses is the sum of these individual torques, which is:
τtotal = τ1 + τ2 = 0.9465 Nm + 0.9015 Nm = 1.848 Nm
Therefore, the total torque created by the two known masses is 1.848 Nm.
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you must build the cantilever shown in the figure. the maximum length of cable you have available is 5 m and the maximum tension the cable can support is 245 n. the material used for the cantilever has a density of 40 kg per meter length of the cantilever. what is the maximum length (in m) of the cantilever that you can build?
The maximum length of the cantilever that can be built is approximately 0.63 m.
When answering questions on Brainly, it is important to always be factually accurate, professional, and friendly. It is also important to be concise and not provide extraneous amounts of detail. It is recommended to use the following terms in your answer if they are relevant to the question being asked.
For example, in the question "you must build the cantilever shown in the figure. the maximum length of cable you have available is 5 m and the maximum tension the cable can support is 245 n.
the material used for the cantilever has a density of 40 kg per meter length of the cantilever. what is the maximum length (in m) of the cantilever that you can build?",
one would need to use terms such as cantilever, cable, tension, and density in their response.In order to calculate the maximum length of the cantilever that can be built, the following formula can be used:
L = T / (d * g)Where L is the maximum length of the cantilever,
T is the maximum tension the cable can support, d is the density of the cantilever material, and g is the acceleration due to gravity (9.8 m/s^2).Plugging in the given values, we get:
L = 245 / (40 * 9.8) ≈ 0.63 m
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What area of research did brahe assign to kepler, which led to the development of his laws of planetary motion? the universal law of attraction the universal law of gravitation the retrograde motion of the sun the retrograde motion of mars
The area of reaserch in which Kepler worked is the area of the retrograde motion of the sun.
Who is Kepler?Kepler is most known for his popular laws that deal with the idea of planatary motion. There are three laws of planetary motion as described by Kepler.
Hence, the area of reaserch in which Kepler worked is the area of the retrograde motion of the sun.
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Answer:
its actually D.the retrograde motion of mars
If a resident accidentally causes a chunk of ice to fall from the roof, how fast would the ice be moving when it hits the ground? Neglect air resistance.
Answer:
v = √2gh
v = 7 m / s
Explanation:
For this exercise we can use the law of conservation of energy
starting point. In the roof
Em₀ = U = m g h
final point. On the floor
Em_f = K = ½ m v²
as there is no friction, the energy is conserved
Em₀ = Em_f
m g h = ½ m v²
v = √2gh
In the exercise the height of the ceiling is not indicated, but in general the height of the ceiling of a house is h = 2.5 m
v = √ (2 9.8 2.5)
v = 7 m / s
What is the change in momentum of a 50. kg
woman goes from running at 8.0 m/s to 0.0
m/s?
Answer:
400 kg-m/s
Explanation:
Given that,
Mass of the woman, m = 50 kg
Initial velocity, u = 8 m/s
Final velocity, v = 0 m/s
We need to find the change in momentum of the woman. It can be given by :
\(\Delta p=m(v-u)\\\\=50\times (8-0)\\\\=400\ kg-m/s\)
So, the change in momentum is 400 kg-m/s.
How to integrate 1/ 1 + x2
The integral of 1/(1 + x²) is (1/2)ln|1 + x²| + C where C is the constant of integration.
Integration is a mathematical process of finding the antiderivative of a function. To integrate the given expression 1/(1 + x²), we will use the substitution method.
Let u = 1 + x², du/dx = 2x dx, then dx = du/2x and the integral becomes:
∫1/(1 + x²) dx = ∫1/u * (1/2x) du= (1/2)∫1/u du
The antiderivative of 1/u is ln|u| + C, where C is the constant of integration.
Therefore, the final solution of the integral is (1/2)ln|1 + x²| + C.
Let us work through the steps:
Step 1:Let u = 1 + x² and then differentiate both sides with respect to x to obtain du/dx. du/dx = 2x
Substitute 2x dx = du into the integral ∫1/(1 + x²) dx to get the integral in terms of u:∫1/u * (1/2x) du = (1/2) ∫1/u du
Step 2:Calculate the antiderivative of 1/u, which is ln|u|. Thus, the final solution is (1/2)ln|1 + x²| + C, where C is the constant of integration. The constant C will vary depending on the initial conditions of the problem.
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Lionel explores electromagnetic induction using the procedure shown. 1. Move the magnet quickly into the right end of a solenoid. 2. Hold the magnet in the solenoid for 3 s. 3. Move the solenoid slowly to the left away from the magnet. What should Lionel observe during his investigation?
Answer:
B. A large current forms, drops to zero, then a smaller current forms in the opposite direction
Explanation:
The results of Lionel observation about electromagnetic induction is as follows:
In the first step, a large current will form because of the fast or quick movement of the magnet into the right end of a solenoid that generates a induces emf.
In the second step, the magnet was in rest position for 3 s so the current drops to zero because according to Faraday's law, no voltage will be generated if the magnet held stationary and no voltage means no current.
In the third step, smaller current forms in the opposite direction as the magnet is slowly moving away from the solenoid generating a smaller voltage.
Hence, the correct answer is "B."
Answer:
B
Explanation:
The buoyant force on a floating object is __________.
The buoyant force on a floating object is the force exerted by a fluid on an object that is submerged or floating within it.
This force acts in the opposite direction to the object's weight, and its magnitude is equal to the weight of the fluid that the object is displacing.The buoyant force is a result of the pressure difference between the bottom and top of the object. The pressure at the bottom of the object is greater than the pressure at the top, which creates a net upward force on the object. This net upward force is known as the buoyant force, and it is what keeps an object afloat. The buoyant force is determined by the density of the fluid and the volume of the object that is submerged in the fluid. The greater the density of the fluid and the volume of the object, the greater the buoyant force. This is why objects with larger volumes and densities are more likely to float than objects with smaller volumes and densities.To know more about buoyant force visit:
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A book is being pushed to the right across a desk with a constant acceleration.
What is the force?
Explanation:
The force would be net positive.
For a particular transformer, the voltage E in the circuits is related to the number of windings W of wire around the core by the equation E = 40W. How many windings will produce a voltage of 760 V?
ANSWER
\(19\text{ windings}\)EXPLANATION
The voltage, E, is related to the number of windings, W, by the equation:
\(E=40W\)To find the number of windings that will produce 760 V, we have to solve for W when E is 760 V. That is:
\(\begin{gathered} 760=40W \\ \Rightarrow W=\frac{760}{40} \\ W=19\text{ windings} \end{gathered}\)That is the answer.
What are some of the differences between a gravitational force and a magnetic force?
A gravitational force is always attractive in nature and a magnetic force is attractive in nature between two opposite poles and repulsive in nature between two same pole.
What are the differences between a gravity and a magnetism?Gravity and magnetism are not the same thing. These two ideas or expressions are entirely dissimilar from one another. Despite the fact that both are regarded as forces, they are two distinct forces with various traits and features.
First of all, gravity works between two objects regardless of their composition because it is a separate force. There will be gravitational forces between the items as long as they have mass. Any two things will be drawn toward one another by gravity or another gravitational force if they have mass.
Magnetism, on the other hand, mostly depends on the unique characteristics of the object. There are two directions for the magnetic force. It has the power to draw things together as well as away from one another. The orientation of the electrons inside the items also affects how magnetism behaves. With gravity and gravitational force, this is not the case.
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A current flows through a 6
resistor and the potential
difference across the resistor is
15V. What current flows through
the resistor? (don't use any units,
numbers only)
Answer:
2.5 A
Explanation:
Ohms law is a physical law relating the voltage difference between two points, the electric current flowing between them, and the resistance of the path of the current. Mathematically, the law states that V = IR, where V is the voltage difference, I is the current in amperes, and R is the resistance in ohms. It is can easily be deduced from the foregoing that the voltage is directly proportional to current and the resistance is the constant of proportionality.
From ohm's law;
R= 6Ω
V= 15V
I= ???
V=IR
I= V/R
I= 15 V/6Ω
I= 2.5 A
A flea sits on the edge of a classic record album that is making 1 revolution in 0.56s. The flea is 0.20m from the center of the record
a. what is the fleas velocity?
b. What is the fleas centripetal acceleration?
Hi there!
We can begin by finding the angular velocity using dimensional analysis:
\(\frac{1 rev}{0.56 s} * \frac{2\pi rad}{1 rev} = 11.22 rad/sec\)
(A)
Find the flea's velocity using the following relationship:
v = ωr
v = (11.22)(0.20) = 2.24 m/s
(B)
Centripetal acceleration is given by:
a = ω²r
a = (11.22²)(0.20) = 25.18 m/s²
f) if the red laser has a wavelength of 633 nm, what is the speed and wavelength of the red light in the plastic?
The speed of light in a medium, such as plastic, is given by the equation v = c/n, where v is the speed of light in the medium, c is the speed of light in vacuum (approximately 3 x 10^8 m/s), and n is the refractive index of the medium. To determine the speed of red light in plastic, the refractive index of the specific plastic material must be known.
The wavelength of light in a medium can be determined using the equation λ = λ0/n, where λ is the wavelength of light in the medium, λ0 is the wavelength of light in vacuum, and n is the refractive index of the medium. Given that the red laser has a wavelength of 633 nm (633 x 10^-9 m) in vacuum, the wavelength of red light in plastic can be calculated using the refractive index of the plastic material.
In conclusion, to determine the speed and wavelength of red light in plastic, the specific refractive index of the plastic material needs to be known.
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Classify the characteristics as qualities of either acids or bases. acid base dissolves some metals ITI sour flavor turns litmus paper blue turns litmus paper red bitter flavor feels slippery
The acids are sour flavour, dissolves some metals and turns litmus paper red.
The bases are bitter flavour, feels slippery and turns litmus paper to blue.
What is acid and base?The German word for acid, sauer, describes its sour flavour. Since hydrochloric acid, which is used to digest food, can harm cells, our stomachs require a special lining to shield it from this acid. Acids are something we're all familiar with; they're present in tomatoes, citrus fruits, and vinegar. There are numerous varieties of salts in chemistry, and acids react with most metals, including magnesium, to produce hydrogen gas.
When two substances come into contact, corrosive substances will cause a chemical reaction that will damage or destroy the other substances.
On contact, bases feel slick. This is due to their ability to alter protein structure. Because it begins to harm the proteins in your skin, a strong base can result in severe chemical burns.
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