Answers
Answer:
3. a) The current in R1 is 0.5 A
The current in R₂ is 0.2\(\overline {27}\) A
b) The power dissipated in R₁ is 0.5 W
Explanation:
The given circuit parameters are;
The voltage in the circuit = 5 V
The resistances in the circuit are;
R1 = 3 Ω, R2 = 4 Ω, R3 = 8 Ω, R4 = 10 Ω, R5 = 4 Ω, Ra = 4 Ω
3. a) The equivalent resistance of the circuit, \(R_{E}\), is given as follows;
\(R_{E} = R1 +\dfrac{\left( \dfrac{R5 \cdot Ra}{R5 + Ra} + R4 \right) \times (R2 + R3)}{\left( \dfrac{R5 \cdot Ra}{R5 + Ra} + R4 \right) + (R2 + R3)}\)
Plugging in the values, we get;
\(R_{E} = 4 +\dfrac{\left( \dfrac{4 \times 4}{4 +4} + 10 \right) \times (4 + 8)}{\left( \dfrac{4 \times 4}{4 +4} + 10 \right) + (4 + 8)} = 10\)
The equivalent resistance of the circuit, \(R_{E}\) = 10 Ω
The current in R1 = The current in the circuit, \(I_E\)= V/\(R_{E}\)
∴ I = 5 V/(10 Ω) = 0.5 A
The current in R1 = 0.5A
Let, 'I₂' represent the current flowing through R₂
By the current divider rule, we have;
\(I_2 = \dfrac{R_{E}}{R2 + R3 + R_{E}} \times I_T\)
Which gives;
\(\therefore I_2 = \dfrac{10 \, \Omega}{4 \, \Omega + 8 \, \Omega + 10 \, \Omega} \times 0.5A = \dfrac{5}{22} \, A = 0.2 \overline {27} \, A\)
The current flowing through R₂, I₂ = 0.2\(\overline {27}\) A
b) The power dissipated in R₁, P₁ = \(I_E^2\) × R₁
∴ The power dissipated in R₁, P₁ = (0.5 A)² × 4 Ω = 0.5 W
Related Questions
aaWhich two vectors, when subtracted (i.e.. when one vector is subtracted from the other), will have the largest magnitude? O A and F O A and E O D and B O C and D O E and F
Answers
The two vectors with the largest magnitude when subtracted are A and F. Subtracting A from F will result in the largest difference in magnitude between two vectors.
In physics, a vector is a graphical or mathematical representation of a physical quantity that has both magnitude and direction. For instance, the vector position of a particle in space specifies its location relative to the origin.
The direction of a vector is indicated by an arrow pointing in the direction of the vector's motion. When two vectors are subtracted, the resulting vector is the vector that extends from the end of the vector being subtracted to the end of the vector it is being subtracted from.
If the two vectors have opposing directions, the resultant vector will be the difference between the magnitudes of the two vectors. Here are the vectors given: A -0.12i +0.22jB 0.28i +0.18jC -0.15i -0.14jD -0.05i +0.12jE 0.19i -0.1jF -0.08i -0.25j. To compute the vector magnitude of a vector, we use the formula: |V| = (V₁² + V₂²)¹/²Using this formula, we can compute the magnitudes of the vectors.
Now, let's calculate the magnitudes of the given vectors: A = (0.12² + 0.22²)¹/² = 0.2488B = (0.28² + 0.18²)¹/² = 0.3246C = (0.15² + 0.14²)¹/² = 0.2108D = (0.05² + 0.12²)¹/² = 0.1312E = (0.19² + 0.1²)¹/² = 0.214F = (0.08² + 0.25²)¹/² = 0.266. Thus, the two vectors with the largest magnitudes will be: A and F.
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Mary Carskadon and her colleagues' research on adolescent sleep patterns found that:
A. increased sleepiness in adolescents during the day was primarily due to academic work or social pressures.
B. when given the opportunity, adolescents will sleep an average of 9 hours and 25 minutes a night.
C. adolescents' biological clocks undergo a shift as they get older, so that older adolescents start to feel sleepy an hour earlier than younger adolescents.
D. younger adolescents tend to be sleepier during the day than older adolescents.
Answers
This shift in the biological clock is a natural part of the adolescent development process, but it can be exacerbated by external factors such as academic work or social pressures. Despite this, when given the opportunity, adolescents will sleep an average of 9 hours and 25 minutes a night, which is important for their overall health and well-being.
Mary Carskadon and her colleagues' research on adolescent sleep patterns found that adolescents' biological clocks undergo a shift as they get older, so that older adolescents start to feel sleepy an hour earlier than younger adolescents. This means that younger adolescents tend to stay up later and have difficulty waking up early, while older adolescents may have an easier time falling asleep earlier but struggle with staying asleep throughout the night.
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95 POINTS PLEASE HELP SIMPLE QUESTION
A student and the waxed skis she is wearing
have a combined weight of 850 newtons.
The skier travels down a snow-covered hill
and then glides to the east across a snow-covered, horizontal surface.
2. Determine the magnitude of the normal force exerted
by the snow on the skis as the skier glides across the
horizontal surface.
3. Calculate the magnitude of the force of friction acting on the skis as the skier glides across the snowcovered, horizontal surface. [Show all work, including
the equation and substitution with units.]
I already know 2 is 850. But how do you get the coefficient of friction for 3. brainliest to best answer!
Answers
Given that,
Combined weight of a student and the waxed skis, W = 850 N
It should be given that the coefficient of friction is 0.05.
To find,
The magnitude of the normal force exerted and the magnitude of the force of friction.
Solution,
Normal force = weight of the object,
Here, weight = 850 N
Normal force = 850 N
Let f is the force of friction. It can be calculated as follows :
\(f=\mu N\\\\=0.05\times 850\\\\=42.5\ N\)
Hence, the normal force is 850 N and the magnitude of the force of friction is 850 N.
Answer: 43
Explanation:
Hahah I look pregnant don’t I
Answers
But you see...this bobcat
Cute ain’t it?
What is the distance between two points on a wave called
Answers
Explanation:
Wavelength is the distance between two consecutive and equivalent points on a wave. Wavelength can be quantified by measuring the distance between two equivalent and consecutive points, such as the distance between two peaks or two troughs. The scientific symbol for wavelength is a Greek letter called lambda.
Steady slow of electrons?
Answers
Answer:
????????....???????? :/
Keegan has a wood ball, James has a steel ball, and Drew has a ping pong ball. If they all blow them with the same air force across a table using a straw, whose ball with will win the race?
Answers
Answer:
A ping pong ball
Explanation:
It has the lightest weight among the rest
A piece of metal of ma 50g heated to 100degree i dropped into 200g of water at 14 degree in copper calorimeter weighing 80g and raie the temperature to 70degree what i the pecific heat capacity of the metal
Answers
The specific heat capacity of the metal is 32427.7 J/kg/°C if the mass of a metal is 50 gm.
The specific heat capacity of a substance is the heat required to increase the temperature of the substance of unit mass by one degree. Its SI unit is J/kg/°C.
Mass of the metal= 50 g= 0.05 kg
Temperature of the metal = 100°C
Mass of the water = 200 g = 0.2 kg
Mass of the calorimeter = 80 g =0.08 kg
Temperature of the calorimeter and water combined= 14°C
Equilibrium temperature = 70°C
Specific heat capacity of the copper = 390 J/kg/°C
Specific heat capacity of the water = 4187 J/kg/°C
Heat lost by the metal = heat absorbed by the water and calorimeter
0.05×S×(100-70) = (0.2×4187+0.08+390) × (70-14)
1.5×S = 48641.6
S= 32427.73 J/Kg/°C
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1.²₁ f(x) dx, where x ≤ n f(x) = { sin (x), -3 sin(x), X > T (Express numbers in exact form. Use symbolic notation and fractions where needed.) 2x 1² f(x) dx = Calculate
Answers
The given problem involves calculating the definite integral of a function f(x) over a specific range. The function f(x) is defined differently for different values of x, and the final result of the definite integral \(1^2\)₁ f(x) dx, where x ≤ n, is -cos(n) - (-cos(1)) + 3cos(T) - 3cos(n) + infinity.
To calculate the definite integral 1²₁ f(x) dx, where x ≤ n, we need to evaluate the integral of the given function f(x) over the specified range. The function f(x) has different definitions depending on the value of x. For x ≤ n, the function is sin(x), and for x > n, the function is -3sin(x). Additionally, the function is defined as 2x for values of x greater than a certain threshold T.
To solve this problem, we need to consider the different intervals of the range separately. First, we integrate sin(x) over the interval 1 to n. The integral of sin(x) is -cos(x), so the value of this part of the integral becomes -cos(n) - (-cos(1)).
Next, we need to integrate -3sin(x) over the interval n to T. The integral of -3sin(x) is 3cos(x), so this part of the integral becomes 3cos(T) - 3cos(n).
Lastly, we integrate 2x over the interval T to infinity. The integral of 2x is \(x^2\), so this part of the integral becomes infinity.
Combining these three parts, the final result of the definite integral \(1^2\)₁ f(x) dx, where x ≤ n, is -cos(n) - (-cos(1)) + 3cos(T) - 3cos(n) + infinity.
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wire b has 4.6 times the resistance of wire a. if the same voltage is placed across them, find the ratio of the currents, ib/ia.
Answers
The ratio of the current, Ib/Ia = 1/4.6
The ratio of the currents in wires A and B, Ib/Ia, is determined by the ratio of their resistances.
To understand this more clearly, consider the following equation:
V = I R
This equation states that the voltage across a wire is equal to the product of the current in the wire and its resistance. Since the same voltage is placed across both wires, and the resistance of wire B is greater than that of wire A, the current in wire B must be less than that of wire A. Therefore, the ratio of the currents is the inverse of the ratio of their resistances.
Solving we get,
(Ib/Ia) = (V/4.6R) / (V/R) = 1/4.6.
In summary, when the same voltage is placed across two wires with different resistances, the ratio of the currents in those two wires is equal to the inverse of the ratio of their resistances.
Therefore, if the same voltage is placed across wires A and B, the ratio of the currents, Ib/Ia will be equal to 1/4.6.
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What does the independent variable do?
Answers
Answer:
The independent variable is what you, the scientist, changes, and it causes the dependent variable to change.
Explanation:
Regarding Newton's 3rd Law, do we always see an equal effect on each object? Aka, are both objects always affected the same? Why so?
Answers
Answer:
not always ot depends mostly on the mass of each object and how the collode
A sample of an unknown substance has a mass of 0.465 kg. if 3,000.0 j of heat is required to heat the substance from 50.0°c to 100.0°c, what is the specific heat of the substance?
Answers
The specific heat of the substance will be 0.129 J/g°C.
What is specific heat capacity?The amount of heat required to increase a substance's temperature by one degree Celsius is known as specific heat capacity.
Similarly, heat capacity is the relationship between the amount of energy delivered to a substance and the increase in temperature that results.
The given data in the problem is;
Q is the amount of energy necessary to raise the temperature = 3,000.0 j
M is the mass= 0.465 kg.
Δt is the time it takes to raise the temperature.=50°c
s stands for specific heat capacity=?
Mathematically specific heat capacity is given by;
\(\rm Q= MC \triangle t \\\\ C = \frac{Q}{M\triangle t} \\\\ C = \frac{3000}{0.465 \triangle 50} \\\\ C =129.0 J/Kg^0C \\\\ C= 0.129 J/g^0C\)
Hence the specific heat of the substance will be 0.129 J/g°C.
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a model rocket engine applies 1500 j of work launching a 0.80 kg model rocket straight up from rest over the first 35 meters of the flight how fast is it going when the engine cuts out?
Answers
When the engine cuts out, the rocket is going at a velocity of approximately 61.20 m/s.
To determine the speed of the model rocket when the engine cuts out, we can use the work-energy principle. The work done by the rocket engine is equal to the change in kinetic energy of the rocket:
Work done by engine = Change in kinetic energy
We know that the work done by the engine is 1500 J. To calculate the change in kinetic energy, we first need to find the final velocity of the rocket. We can use the kinematic equation:
v^2 = u^2 + 2as
where v is the final velocity, u is the initial velocity (which is zero in this case), a is the acceleration (which we don't know yet), and s is the distance traveled (which is 35 m).
We can rearrange this equation to solve for a:
a = (v^2 - u^2) / 2s
a = v^2 / 2s
Now we can use the work-energy principle:
Work done by engine = Change in kinetic energy
1500 J = (1/2) x 0.80 kg x v^2 - (1/2) x 0 kg x 0 m/s^2 (initial kinetic energy is zero)
Simplifying this equation, we get:
1500 J = (1/2) x 0.80 kg x v^2
v^2 = 3750 m^2/s^2
v = 61.2 m/s
Therefore, the model rocket is going 61.2 m/s when the engine cuts out.
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Cosmic background radiation detected in space is believed to be evidence that:
1-The universe began with an explosion
2-The universe is contracting
3-All matter in the universe is stationary
4-Galaxies are evenly spaced throughout the universe
Answers
Answer:
CMB is landmark evidence of the Big Bang origin of the universe. When the universe was young, before the formation of stars and planets, it was denser, much hotter, and filled with an opaque fog of hydrogen plasma.
Cosmic background radiation detected in space is believed to be evidence that, the universe began with an explosion, therefore the correct answer is option 1.
What is a solar system?It is a system that collection of all the planets and spatial bodies revolving around the sun because of the gravitational pull of the sun.
Our Solar System is based on a heliocentric model in which the Sun is assumed to reside at the central point of the planetary system.
Before the creation of stars and planets, the cosmos was denser, considerably hotter, and covered with an opacity of hydrogen plasma.
Cosmic background radiation detected in space is believed to be evidence that, the universe began with an explosion,
Thus, the correct answer is option 1.
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The maximum number of electrons in the second energy level of an atom is ____.
a.
two
c.
eight
b.
four
d.
ten
Answers
Answer: your answer is gonna be 8 your welcome =D !!!
What is the relationship between the frequency of light and refraction?
Answers
Answer:
The refractive index of a medium is dependent (to some extent) upon the frequency of light passing through, with the highest frequencies having the highest values of n. It also changes the wave speed, frequency, and wavelength.. Although the wave slows down, its frequency remains the same, due to the fact that its wavelength is shorter. When waves travel from one medium to another the frequency never changes. As waves travel into the denser medium, they slow down and wavelength decreases
Explanation:
Answer:the higher the frequency the greater the index of refraction
Explanation:The index of refraction of any material besides vacuum varies slightly with the frequency of light too soo basically the more or higher the frequency the greater the refraction (index of refraction)
For example
Say you have green or red light which they have lower frequency that blue or purple
So the index of refraction will be lower
How many significant digits does 40.60 have?
physics
Answers
Answer: 4
Explanation:
Answer:
4
Explanation:
A mass attached to a spring oscillates back and forth as indicated in the position vs. time plot below. At point P, the mass has:
1. negative velocity and negative acceleration.
2. zero velocity but is accelerating (positively or negatively).
3. zero velocity and zero acceleration.
4. negative velocity and positive acceleration.
5. positive velocity and negative acceleration.
6. negative velocity and zero acceleration.
7. positive velocity and positive acceleration.
8. positive velocity and zero acceleration.
Answers
Based on the position vs. time plot, we can see that at point P, the mass is at the equilibrium position of the spring, meaning that it is not displaced from its resting position. Therefore, we can conclude that the mass has zero velocity at point P. Therefore, the correct answer is option 3: zero velocity and zero acceleration.
We know that the acceleration of the mass is directly proportional to the displacement from equilibrium and is always directed toward the equilibrium position. Therefore, if the mass is moving towards the equilibrium position at point P, it will have a negative acceleration. Conversely, if the mass is moving away from the equilibrium position at point P, it will have a positive acceleration.
Therefore, the correct answer is option 3: zero velocity and zero acceleration. The mass is neither moving away from nor toward the equilibrium position, so it has zero acceleration. Additionally, since it is at the equilibrium position, it has zero velocity.
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What is the resultant of the vectors shown?
Answers
Answer:
b
Explanation:
your welcome :)
A space traveller weighs herself on earth at a location where the acceleration due to gravity is 9.83 m/s29.83 m/s2 and finds a value of 525 n.525 n. what is her mass ?
Answers
The mass of the space traveler is approximately 53.42 kg.
The weight of an object is the force exerted on it by gravity, while mass is the measure of the amount of matter in an object. The weight of an object can be calculated using the formula:
Weight = Mass x Acceleration due to gravity
In this case, the weight of the space traveler on Earth is given as 525 N and the acceleration due to gravity on Earth is 9.83 m/s^2.
To find the mass of the space traveler, we can rearrange the formula:
Mass = Weight / Acceleration due to gravity
Substituting the given values, we have:
Mass = 525 N / 9.83 m/s^2
Simplifying this calculation, we get:
Mass ≈ 53.42 kg
Therefore, the mass of the space traveler is approximately 53.42 kg.
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1 A student says that current is the amount of charge. Is he correct? Explain your answer.
Answers
Answer:
No he's not correct. Current is the rate of flow of charge. 1 Ampere is the amount of 1 coulomb of charge that flows per second. 10 Ampere would then be 10 coulomb of charge flowing in one second.
Experiment 1: what volume would the gas sample occupy at 50. 0 °c?
Answers
Both the initial amount and the kind of gas play a role. However, the pressure and the quantity of gas present also have a role in this relationship.
Charles' Law states that a gas's volume is directly proportionate to its temperature. However, the pressure and the quantity of gas present also have a role in this relationship. Hence, we would need to know the starting volume, pressure, and number of moles of a gas sample in order to calculate its volume at 50.0 °C. The type of gas would also be a role in deciding its final volume at 50.0 °C because different gases behave differently at various temperatures. Ideal gas perfectly obeys the gas law. Thus, the correct answer to the question is Ideal gas.
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A person is doing a pushup. They push down with a force of 150 N. How hard does the floor push on them?
Answers
Answer:
the answer is 15
Explanation:
blc gravitational on the earth is 10 m/s
so 150/10 =15
The floor will exert a force of same magnitude in the opposite direction. Because, according to Newton's third law, for every action there is an equal and opposite reaction.
What is force?Force is an external agent acting on a body to change its motion or to deform it. There are various kind of forces such as gravitational force, frictional force, magnetic force etc.
According to Newton's third law of motion, for every actions there is an equal and opposite reaction. Therefore, in a collision, the two objects are exerting equal and opposite forces.
Here, the person is doing pushup by applying a force of 150 N on the floor. Thus, the floor in turn exert a force of 150 N on his hand that make him rise upwards. Therefore, the force exerted by the floor is equal in magnitude.
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If the body could have a kidney transplant,he would not have to spend time attached to a dialysis machine. Why do you think not everyone who needs a kidney transplant can have one?
Answers
The Kidney transplants are a highly sought after treatment option for individuals with kidney failure. However, not everyone who needs a kidney transplant can have potential one due to several reasons. One of the primary reasons is the shortage of donor organs.
There are far fewer organs available than there are individuals who need them. Additionally, not everyone is eligible to receive a transplant. Individuals with certain medical conditions, such as cancer or infections, may not be suitable candidates for a transplant. Age and overall health can also be factors that affect eligibility. Even for those who are eligible and have a suitable donor, the process of finding a compatible donor can be lengthy. Dialysis machines are used to help keep individuals with potential kidney failure alive while they wait for a transplant or until their condition improves. Dialysis can be time-consuming, uncomfortable, and can require multiple sessions a week. In conclusion, while kidney transplants can be a life-changing treatment option for individuals with kidney failure, the scarcity of donors, eligibility requirements, and the time-consuming process of finding a compatible donor can limit access to this treatment option. Dialysis machines remain an essential treatment option for those who cannot receive a transplant.
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A solid spherical ball and a hollow spherical ball made out of the same material are released from rest at the top of a ramp. They roll down the ramp without slipping to the bottom. show answer Incorrect Answer 50% Part (a) On what quantities does the speed of each ball at the bottom of the ramp depend? Select all that apply. a. Radius of the ball b. Distribution of mass within the ball c. Mass of the ball d. Height of the ramp
Answers
The speed of each ball at the bottom of the ramp depends on all the mentioned quantities. Hence, the correct option is (e) i.e. all of the above.
The speed of each ball at the bottom of the ramp depends on the following quantities:
a. Radius of the ball: The speed of each ball at the bottom of the ramp depends on its radius. The larger the radius of the ball, the higher its moment of inertia, and the more rotational kinetic energy it has for a given translational kinetic energy. This means that a larger ball will have a lower speed at the bottom of the ramp than a smaller ball, all other things being equal.
b. Distribution of mass within the ball: The distribution of mass within the ball affects the ball's moment of inertia, and therefore its rotational kinetic energy. A ball with more mass concentrated at the center will have a smaller moment of inertia and more rotational kinetic energy than a ball with the same mass but a more spread-out distribution of mass. Therefore, a ball with more mass concentrated at the center will have a higher speed at the bottom of the ramp than a ball with the same mass but a more spread-out distribution of mass.
c. Mass of the ball: The mass of the ball affects its translational kinetic energy. A ball with more mass will have more translational kinetic energy than a ball with less mass, assuming they both have the same speed and the same moment of inertia. Therefore, a heavier ball will have a higher speed at the bottom of the ramp than a lighter ball, all other things being equal.
d. Height of the ramp: The height of the ramp affects the potential energy of the ball. The higher the ramp, the more potential energy the ball has at the top of the ramp, and the more kinetic energy it will have at the bottom of the ramp. Therefore, a ball released from a higher ramp will have a higher speed at the bottom of the ramp than a ball released from a lower ramp, all other things being equal.
In summary, the speed of each ball at the bottom of the ramp depends on the radius of the ball, the distribution of mass within the ball, the mass of the ball, and the height of the ramp.
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Question - A solid spherical ball and a hollow spherical ball made out of the same material are released from rest at the top of a ramp. They roll down the ramp without slipping to the bottom. On what quantities does the speed of each ball at the bottom of the ramp depend? choose the correct option:-
(a) Radius of the ball
(b) Distribution of mass within the ball
(c) Mass of the ball
(d) Height of the ramp
(e) All of the above
You rub a piece of wool upon your skin and your skin becomes negatively charged because it gained _____.
Answers
When you touch a piece of wool against your skin, your skin acquires a negative charge because of the conservation of charge, which caused it to gain a positive charge.
Charge is a material's property that can be transferred into another person's body. The transfer of the charge results in the generation of electricity. The following are some examples of charge's various properties: 1 Electric charge addition 2 Electric charge conservation 3 Electric charge quantization. Equations in chemistry are denoted by the capital letter Q to denote charge, with the elementary charge of an electron (e) serving as a standard unit. The coulomb is the SI-derived unit of charge (C). In electrical engineering, the ampere-hour (Ah) unit of charge is frequently used.Dipole Definition in Chemistry and Physics. by this primary information we can consider that when you rub a piece of wool upon your skin and your skin becomes negatively charged because it gained a positive charge as the result of conservation of charge.
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In the formula V =E ^b d ^a, if V, E and d are the velocity longitudinal waves, bulk modulus of elasticity and density of the gaseous medium respectively, then calculate the values of a and b
Answers
Answer:
\(b=\frac{1}{2}\) and \(a=-\frac{1}{2}\)
Explanation:
The velocity longitudinal waves depends on the bulk modulus and the density. It is given by the formula:
\(V=\sqrt{\frac{\beta }{\rho} }\)
Where V is the velocity , β is the bulk modulus and ρ is the density.
\(V=\sqrt{\frac{\beta }{\rho} }\\V=\frac{\beta^\frac{1}{2} }{\rho^\frac{1}{2} } \\V=\beta^\frac{1}{2} \rho^-\frac{1}{2}\)
Therefore comparing with \(V =E ^b d ^a\), where V, E and d are the velocity longitudinal waves, bulk modulus of elasticity and density, the values of b and a can be gotten.
Therefore, \(b=\frac{1}{2}\) and \(a=-\frac{1}{2}\)
A student jumps off a sled toward the west after it stops at the bottom of an icy hill.
Based on the law of action-reaction, in what direction will the sled most likely move as the student jumps off?
Answers
Answer:
Explanation:
That’s dangerous who would do that.
Me
3. Atoms with the same number of protons and electrons are neutral, and their charges add up to
a) zero
b) one
c) ten
Answers
Answer:
a) zero.
Explanation:
If the charge of an atom is neutral, then that means it has neither a negative charge nor a positive charge. So, it would have a charge of 0.
Hope this helps!
The atom has an equal number of protons and electrons meaning it’s neither positive nor negative.