Final answer:
The average rate of flow of blood along the radius of an artery is found by integrating the velocity equation v = k(R² - r²) from 0 to R, which results in an average velocity formula of (2/3)kR after integration and simplification.
Explanation:
The question asks to find the average rate of flow of blood along a radius of the artery using the given velocity equation v = k(R² - r²) and integrating between the limits 0 and R. To find the average velocity, we integrate the given equation across the artery's radius and then divide by the radius R to calculate the average.
The integration process involves calculating the integral of k(R² - r²) with respect to r, over the interval from 0 to R, which gives us kR²r - (kr³)/3 evaluated between 0 and R. Substituting the limits and simplifying, the result is (2/3)kR². To find the average velocity, we divide this by R, resulting in an average velocity of (2/3)kR.
two campers pull a canoe. If the force of friction acting on the canoe is 84 N, then how much work does the two campers need to do to keep the canoe in the middle of the river for a displacement of 50 m?
The work done by the two campers against frictional force is 4200 Joule.
What is force?The definition of force in physics is: the push or pull on a mass-containing item changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.
A spring balance can be used to calculate the Force. The Newton is the SI unit of force.
Frictional force acting on the he canoe: F = 84 N.
Displacement of the canoe: d = 50 m.
Hence, work done by the two campers against frictional force = force × displacement
= 84 N × 50 m
= 4200 Joule.
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Gravitational force between two objects depends on
Answer:
SIZE AND DISTANCE BETWEEN THEM
how many moles are in 95 g of Na?
What force is needed to give a 4.5 kg bowling ball an acceleration of 9 m/s^2?
A youngster throws a rock from a bridge into the river 50 m below. The rock has a speed of 15 m/s when it leaves the youngster’s hand. Calculate the velocity of the rock when it strikes the water if it is thrown upward.
...?
. How much work in joules is done by a person who uses a force of 25 N to move a desk 3.0 m?
The work done by a person using a force of 25 N to move a desk 3.0 m is 75 Joules, calculated by multiplying the force and the distance.
Explanation:The concept in question is related to work and energy, under Physics. The work done by a force is defined as the product of the force and the distance over which the force acts, given by the formula: Work = Force x Distance. This implies that the work done is equal to the value of the force (in newtons) multiplied by the distance (in meters) over which the force is applied. In this case, a force of 25 N is acting to move a desk over a distance of 3 m. The work done can be calculated by multiplying the force and the distance: 25 N x 3 m = 75 J (Joules).
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Which law describes the magnetic field in a nonlinear wire?
Answer:
Lenz's law
Explanation:
Lenz's Law states that the induced tensions will be such that they oppose the variation of the magnetic flux that produced them; However, this law is a consequence of the principle of conservation of energy.
Lenz's Law: "The sense of the currents or induced electromotive force is such that it always opposes the cause that produces it, that is, the variation of the flow."
Thanks to the already named Lenz Law, the Faraday Law was completed, so it is common to also call it the Faraday-Lenz Law to honor its efforts in the problem, Russian physicists always use the name "Faraday-Lenz Law ".
An ionic bond forms between sodium and chlorine when the sodium atoms______ elections
Donate
An ionic bond forms between sodium and chlorine when the sodium atoms donate elections
Explanation;Ionic bond is a type of bonds that results from transfers of electrons from one atom to another. This types of bond is formed between metals and non metals.Metals lose electrons to form cations (positively charged ion) and non metals gain electrons forming anions, negatively charged ion. In this case, sodium donates and electron to chlorine atom, thus they both achieve a stable electronic configuration forming ions.(Newton's Law of Motion) A person stands on a scale in an elevator. When the elevator is at rest, the scale reads 700 N. When the elevator starts to move, the scale reads 600N. (a) Is the elevator going up or down? Show your solution to support your answer. (b) What is its acceleration? ...?
The elevator is accelerating downward as the scale reads less than the person's weight. The acceleration of the elevator can be calculated using Newton's second law of motion and is approximately 1.4 m/s² downward.
Explanation:When a person stands on a scale in an elevator, the scale reading reflects the normal force, which is the force exerted by the scale on the person. If the scale reads 700 N when at rest and only 600 N when the elevator starts to move, it indicates that the elevator is accelerating downward.
This is because the normal force (and thus the scale reading) is less than the person's weight, which would only happen if the force due to acceleration opposes the force of gravity.
For part (b), to find the acceleration of the elevator, we can use Newton's second law of motion. The net force on the person can be calculated by subtracting the scale reading (the normal force) from the person's weight (gravitational force). Let m be the mass of the person and a be the acceleration. We have:
mg - FN = ma
Since mg is the weight (700 N) and FN is the scale reading (600 N):
700 N - 600 N = ma
100 N = ma
Using the given weight of 700 N and the acceleration due to gravity (9.8 m/s2), we find the mass m = 700 N / 9.8 m/s2 = approximately 71.43 kg.
Therefore, the equation becomes:
100 N = 71.43 kg * a
The acceleration a is about 1.4 m/s2 downward.
As the wave interacts with a wall, which kind of wave interaction is shown?
absorption
diffraction
refraction
reflection
The kind of wave interaction shown here is reflection.
What is meant by reflection ?
Reflection is the defined as the phenomenon by which a wave bounces back when it his on a medium or a plane.
Here,
The wave is shown as incident on the wall after that it is bounced back from the surface of the wall. Since, the wave is bounced back from the surface, we can say the wave interaction happened here is reflection. The surface of the wall here acts as the reflecting surface.
The wave that incident on the surface of the wall is called the incident wave. The wave that bounced back from the surface is called reflected wave.
If we draw a perpendicular line on the reflecting surface, it can be called the normal.
According to law of reflection, the incident wave, the reflected wave and the normal, all of them lies in the same plane. Here we can see that all of them are on the same plane. So, the law of reflection is valid in this situation.
Also, here only the direction of the wave is changed, which is the property of reflection.
Hence,
The kind of wave interaction shown here is reflection.
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Which country was the first in the world to launch a mass media campaign in response to population growth?
A)India
B)China
C)Kenya
D)Australia
Concave lens cause rays to _____.
A. come together
B. reflect
C. spread apart
Which of the following statements is true about solar eclipses?
There is a solar eclipse every month.
All solar eclipses are total.
Some solar eclipses are not total.
There can be 12 solar eclipses in a single year.
The universe is mostly made up of what?
a. interstellar matter
b. particles of dust and gas
c. stars
d. empty space
If a person weighs 500 N on Earth, what would she weigh on Jupiter, where the acceleration due to gravity is 26 m/s2?
Show all work leading to your answer.
The person's weigh on Jupiter is 1326.52 N.
What is weight?Weight is a measurement of how much gravity is pulling on a body.
Weight is calculated using the formula: w = mg.
Given that weight is a force, its SI unit is also a force; hence, the SI unit of weight is the Newton (N). By examining the weight expression, we can see that it is dependent on mass and the acceleration caused by gravity.
Given that: a person weighs 500 N on Earth.
the acceleration due to gravity on Jupiter is 26 m/s^2.
Acceleration due to gravity on Earth is 9.8 m/s^2.
Hence, mass of the person
= Weight on Earth/acceleration due to gravity on Earth
=500 N/9.8 m/s^2.
= 51.02 kg.
Her weigh on Jupiter is
= mass of the person × acceleration due to gravity on Jupiter
= 51.02 kg × 26 m/s^2
= 1326.52 N.
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Which electrical protective device is designed to detect a difference in current between circuit wires and interrupt the circuit and stop the flow of electricity?
a. attach ungrounded, two-prong adapter plugs to three-prong cords and tools
b.do not operate electrical equipment when working in wet conditions
c. hold fingers on the switch while carrying a plugged-in tool
d. use gfci only when using double insulated power tools
When a substance undergoes a phase change it still has a definite....
Which of the following statements is true about the nature of light?
A. Light behaves entirely as a particle
B. Light has properties of both particles and waves
C. Light behaves entirely as a wave
D. Light travels as a wave but does not carry energy ...?
Answer: The correct answer is "Light has properties of both particles and waves".
Explanation:
Light shows dual nature. It behaves as particle as well as waves.
Photoelectric effect is the phenomenon in which there is an emission of the electrons when the light of the particular frequency is incident on the surface of the metal.
The particle nature of the light is shown by photoelectric effect.
Reflection: Reflection is the phenomenon in which the light wave gets reflected from the surface without getting transmitted. It bounces back from the surface.
The wave nature of the light is shown by reflection.
Therefore, the correct option is (B).
What is the purpose of the universal gravitation constant in newtons law of universal gravitation?
Explanation : According to the law, it says that F ∝ Mm ÷ R²
Where :
F = Gravitational forceM = Mass of the first bodym = mass of the second bodyR = Distance between the 2 bodiesFor calculating the gravitational force (F), we must have an equation. According to the law, we are ain't getting any equation. Hence, we must convert it by putting a constant.
A constant is any value that is fixed, and it won't change under any circumstance. And in this case, the value of the gravitational constant (G) is 6.67 x 10⁻¹¹.
Now, here comes the final equation : F = GMm ÷ R²
Where :
F = Gravitational forceG = Gravitational constant (6.67 x 10⁻¹¹)M = Mass of the first bodym = Mass of the second bodyR = Distance between the 2 bodiesHence, the main purpose of the universal gravitational constant (G) is to have an equation, which is F = GMm ÷ R².
Fine grains of beach sand are assumed to be
spheres of radius 38.9 µm. These grains are
made of silicon dioxide which has a density of
2600 kg/m3
.
What is the mass of each grain of sand?
Answer in units of kg.
...?
If Jupiter takes 9.9259 hours to rotate on its axis and has a tangential speed of 12,293 m/s what is its radius?
69,912 km !!!!!!!!!!!!!!!!!!!!!
A force that holds atoms together is a chemical .
A force that holds atoms together is a chemical "bond".
Chemical bonds hold atoms together and make brief associations that are fundamental to life. Sorts of chemical bonds including covalent, ionic, and hydrogen bonds and London dispersion forces.
The chemical bond can be thought of as a power that holds the particles of different components together in such compounds. It opens up the likelihood of a huge number of mixes of the components, and the formation of a large number of new compounds.
Answer:
Therefore, A force that holds atoms together is a chemical bond.
Explanation:
Chemical bond : A chemical bond is a lasting attraction between atoms, ions or molecules that enables the formation of chemical compounds.
Everything in the world around us is made up of atoms, which are tiny pieces of matter. Different atoms stick together to form all kinds of things in the world. A chemical bond is formed when two or more atoms are attracted to each other and form a chemical compound.
Types of chemical bonds including:
Ionic Bonds
Covalent Bonds
The mole fraction of oxygen in dry air near sea level is 0.20948. The concentration of
oxygen is __________ molecules per liter, assuming an atmospheric pressure of 739 torr and
a temperature of 29.5°C
A) 6.23
B) 0.00819
C) 4.93 × 1021
D) 3.75 × 1024
E) 5.07 × 1022
Final answer:
To calculate the concentration of oxygen in molecules per liter, we use the ideal gas law equation and substitute the given values to find the number of moles of oxygen. The concentration of oxygen is approximately 29.5 molecules per liter.
Explanation:
To calculate the concentration of oxygen in molecules per liter, we need to use the ideal gas law equation: PV = nRT. Rearranging the equation, we have n = PV/RT, where n is the number of moles of oxygen in the given volume, P is the pressure, V is the volume, R is the ideal gas constant, and T is the temperature.
Given the pressure of 739 torr, volume of 1 liter, and temperature of 29.5°C (which needs to be converted to Kelvin), we can substitute these values into the equation. The ideal gas constant R is 0.0821 L*atm/(mol*K).
Therefore, the concentration of oxygen in molecules per liter is:
n = (739 torr * 1 L) / (0.0821 L*atm/(mol*K) * (29.5+273) K)
n = 29.5
So the concentration of oxygen is approximately 29.5 molecules per liter.
two crates, of mass 75kg and 110 kg are in contact and at rest on a horizontal surface. a 730 N force is exerted on a 75kg crate. if the coefficient of kinetic friction is 0.15, calculate (a) the acceleration of the system and (b) the force that each crate exerts on the other.
...?
To calculate the acceleration of the system, use Newton's second law of motion. The force exerted by each crate on the other is equal and opposite.
Explanation:To calculate the acceleration of the system, we need to use 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. The net force acting on the system is the applied force minus the force of friction. So, the acceleration of the system can be calculated as:
Net force = Applied force - Force of friction
F_net = F_applied - F_friction
The force of friction can be calculated using the formula:
Force of friction = coefficient of friction * Normal force
Now, to calculate the force that each crate exerts on the other, we need to consider that the force exerted by one crate on another is equal in magnitude but opposite in direction. So, if we know the force exerted by one crate on the other, we can simply use Newton's third law of motion to find the force exerted by the other crate on the first crate.
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Which of the following conversion factors would you use to change 18 kilometers to meters?
A.) 1,000 m/1 km
B.) 1 km/1,000 m
C.) 100 m/1 km
D.) 1 km/100 m
Answer:
The answer is A) 1,000 meters = 1 Kilometer.
Explanation:
To convert 18 Kilometers into meters, one would have to multiply the figure given in Kilometer by 1000.
Therefore we have 18 x 1000
= 18,000.
So 18 Kilometers is also 18,000 meters when converted.
Cheers!
A roller-coaster car has a mass of 1200 kg when fully
loaded with passengers. As the car passes over the top of a circular
hill of radius 18 m, its speed is not changing. At the top of the
hill, what are the (a) magnitude FN and (b) direction (up or
down) of the normal force on the car from the track if the car’s
speed is v 11 m/s? What are (c) FN and (d) the direction if v
14 m/s?
Final answer:
At the top of the hill, the roller-coaster car experiences a normal force (FN) from the track that is equal to the gravitational force (mg). The direction of the normal force at the top of the hill is downwards. When the car's speed increases to 14 m/s, the magnitude of the normal force remains the same, but its direction stays downwards.
Explanation:
To determine the magnitude of the normal force (FN) and its direction at the top of the hill, we need to consider the forces acting on the roller-coaster car. At the top of the hill, the car's speed is not changing, meaning its acceleration is zero. This means that the net force acting on the car is zero. The only forces acting on the car at the top of the hill are the gravitational force (mg) and the normal force (FN) from the track.
(a) When the car's speed is 11 m/s, we can equate the gravitational force and the normal force:
mg = FN
Using the given mass of 1200 kg, we can calculate the magnitude of the normal force:
FN = mg = 1200 kg * 9.8 m/s^2 = 11760 N
(b) The direction of the normal force at the top of the hill is downwards (towards the center of the circular path), as it opposes the gravitational force pulling the car downwards.
(c) When the car's speed is 14 m/s, the magnitude of the normal force remains the same:
FN = mg = 1200 kg * 9.8 m/s^2 = 11760 N
(d) The direction of the normal force at the top of the hill is still downwards, as it continues to oppose the gravitational force.
(a) At a speed of [tex]\(v = 11 \ m/s\)[/tex], the magnitude of the normal force [tex](\(F_N\))[/tex] on the roller-coaster car at the top of the hill is [tex]\(9810 \ N\)[/tex] (upward).
(b) At a speed of [tex]\(v = 14 \ m/s\)[/tex], the magnitude of the normal force [tex](\(F_N\))[/tex] on the roller-coaster car at the top of the hill is [tex]\(7560 \ N\)[/tex] (downward).
Explanation:In circular motion, at the top of the hill, the centripetal force required to keep the car moving in a circular path is provided by the normal force [tex](\(F_N\)). At \(v = 11 \ m/s\)[/tex], the net force is zero as the car's speed is constant, so [tex]\(F_N\)[/tex] equals the gravitational force [tex](\(mg\))[/tex], resulting in [tex]\(F_N = 9810 \ N\)[/tex] (upward). This is because the normal force opposes the gravitational force and provides the centripetal force needed.
At [tex]\(v = 14 \ m/s\)[/tex], the normal force is directed downward. In this case, the centripetal force is greater than the gravitational force, leading to a net force directed toward the center of the circular path. The normal force now includes both the gravitational force [tex](\(mg\))[/tex] and the additional force required for centripetal acceleration. The magnitude of [tex]\(F_N\) is \(7560 \ N\)[/tex], and it is directed downward as the net force acts in the opposite direction to the gravitational force.
Understanding the dynamics involves recognizing that at different speeds, the balance between gravitational force and the force required for circular motion changes. At lower speeds, the normal force opposes gravity, while at higher speeds, it supplements gravity to provide the necessary centripetal force.
If the kinetic and potential energy in a system are equal, then the potential energy increases. What happens as a result?
If potential energy in a system increases while its total mechanical energy remains constant, kinetic energy decreases equivalently. This exchange between kinetic and potential energy is an example of the conservation of mechanical energy. Changes in internal energy may also manifest as a change in temperature or energy within the system's structure.
When the potential energy in a system increases without a change in the mechanical energy (assuming no energy is lost to friction), the kinetic energy would decrease equivalently to conserve the total mechanical energy of the system. This is in accordance with the principle of conservation of energy. If an object, for example, is at a certain height above the ground and it is raised further, its potential energy increases due to its position. Consequently, if the object is in free fall, as the potential energy decreases, the kinetic energy increases until the object reaches ground level, where potential energy is at its minimum while kinetic energy is at its maximum.
When the potential energy in a system increases with kinetic energy being equal, it means the internal energy of the system is rising. This increase can be due to an increase in internal potential energy, internal kinetic energy, or both. The work done on the system equals the increase in internal energy.
Moreover, any increase in a system's internal energy that does not result in elevation or speed gain could translate to an increase in internal potential energy or internal kinetic energy, or both. An increase in the internal kinetic energy would generally be observed as an increase in temperature, while an increase in internal potential energy might be observed as energy stored within the structural or molecular configuration of the system.
If we apply this to the scenario of a child on a swing, as the child swings downward, the potential energy (due to height) decreases while kinetic energy increases. Conversely, as the child swings upward, the kinetic energy decreases and potential energy increases.
A basketball player, who weighs 600 newtons, jump 0.5 meters vertically off the floor. Calculate her kinetic energy just before hitting the floor.
a)300J
b)3000J
c)9.81m/s^2
d)0
Answer:
300 J
Explanation:
[tex]v = \sqrt{2gh}[/tex]
[tex]KE = \frac{1}{2}mv^{2}[/tex]
——
[tex]v = \sqrt{2(9.81 m/s^{2})(0.5 m)}\\ v = 3.13[/tex]
[tex]KE = \frac{1}{2}(61.2 kg)(3.13 m/s)^{2}\\ KE = 300 J[/tex]
Kinetic energy of an object is calculated from its mass and velocity. The mass of the player is 61.2 g and the velocity is 3.13 m/s. Then the kinetic energy of the basketball player is 300 J.
What is kinetic energy?Kinetic energy of an object is generated by virtue of its motion. Kinetic energy depends on the mass and velocity of the body by the expression:
K = 1/2 mv².
Given the weight = 600 N
mass = 600 N/9.8 m/s²= 61.2 kg
height = 0.5 m
velocity = √2gh
= √(2×9.8 m/s² × 0.5 m ) = 3.13 m/s
Then, kinetic energy of the player = 1/2 61.2 kg × 3.13 × 3.13
k = 300 J.
Therefore, the kinetic energy of the basketball player is 300 J.
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Which process forms rivers and valleys?
A. Oceanic-oceanic convergence
B. Exposed batholiths
C. Folding, uplift, and erosion
D. Volcanoes
When a 58g tennis ball is served, it accelerates from rest to a constant speed of 36 m/s. The impact with the racket gives the ball a constant acceleration over a distance of 35 cm. What is the magnitude of the net force acting on the ball?
Final answer:
The net force exerted on a tennis ball being served, which accelerates from rest to 36 m/s over a distance of 35 cm, is approximately 107.05 N.
Explanation:
To determine the magnitude of the net force acting on a tennis ball being served, we first need to calculate the acceleration of the ball. With an initial speed (vi) of 0 m/s, a final speed (vf) of 36 m/s, and a distance (d) of 0.35 m over which the acceleration occurs, we can use the kinematic equation vf^2 = vi^2 + 2ad to solve for acceleration (a).
vf^2 = 2ad → a = vf^2 / (2d) → a = (36 m/s)^2 / (2*0.35 m) → a ≈ 1845.71 m/s2.
Using this acceleration and the mass of the ball (m), we can then apply Newton's second law, Fnet = ma, to find the net force. The mass of the tennis ball is 0.058 kg (58 g). Thus, Fnet = ma = 0.058 kg * 1845.71 m/s2 → Fnet ≈ 107.05 N.
So, the net force exerted by the racket on the tennis ball is approximately 107.05 N.