In order to calculate the potential energy, let's use the formula below:
\(PE=mgh\)Where m is the mass (in kg), g is the gravity acceleration (in m/s²) and h is the height (in meters).
So, using m = 115 kg and h = 6 m, we have:
\(\begin{gathered} PE=115\cdot9.8\cdot6\\ \\ PE=6762\text{ J} \end{gathered}\)A consumer uses 3098 kWh in 29 days. The utility company charges AED 0.077592 per kWh for the electricity plus AED 0.029998 per kWh for the distribution of the electricity . What is the consumer's electric bill for the 29 days?
The consumer electric bill for 29 days is AED 331.31
Given that, The utility company charges AED 0.077592 per kWh for the electricity plus AED 0.029998 per kWh for the distribution of the electricity
Since, A consumer uses 3098 kWh in 29 days.
The utility company charges for electricity is,
\(=0.077592*3098=240.38\)
The utility company charges for distribution of the electricity is,
\(=0.029998*3098=92.93\)
So that, The consumer electric bill is,
\(=240.38+92.93=333.31\)
Hence, the consumer electric bill for 29 days is AED 331.31
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Can you list the offensive position on a flag football team?
Answer:
yes u can flag football has everything that pad football has so you can enlist on being offensive position but you have to play like you want that position
Explanation:
condition necessary for thermodynamic equilibrium
Answer:
For a thermodynamic system to be in equilibrium, all intensive (temperature, pressure) and extensive thermodynamic properties (U, G, A, H, S, etc) must be constants. Hence, the total change in any of those properties (dℑ ) must be zero at equilibrium.
Explanation:
hope it helps :)
Answer: For a thermodynamic system to be in equilibrium, all intensive (temperature, pressure) and extensive thermodynamic properties (U, G, A, H, S, etc) must be constants. Hence, the total change in any of those properties (dℑ ) must be zero at equilibrium.
Explanation:
A 1600 kg sedan goes through a wide intersection traveling from north to south when it is hit by a 2300 kg SUV traveling from east to west. The two cars become enmeshed due to the impact and slide as one thereafter. On-the-scene measurements show that the coefficient of kinetic friction between the tires of these cars and the pavement is 0.75, and the cars slide to a halt at a point 5.54 m west and 6.19 m south of the impact point. How fast was sedan traveling just before the collision? How fast was SUV traveling just before the collision?
Answer:
Explanation:
momentum of sedan of 1600 kg = 1600x v , where v is its velocity
momentum of suv of 2300 kg = 2300 x u where u is its velocity .
force of friction = ( 1600 + 2300 ) x 9.8 x .75 ( fiction = μ mg )
= 28665 N
distance by which friction acted = √ (5.54² + 6.19²)
= 8.3 m
work done by friction
= 28665 x 8.3
= 237919.5 J
Total kinetic energy of cars = work done by friction
1/2 x 1600 x v² + 1/2 x 2300 u² = 237919.5
16 v² + 23 u² = 4758.4
1600 x v / 2300 u = 6.19 / 5.54
v / u = 1.6
v = 1.6 u
putting this equation in fist equation
40.96 u² + 23 u² = 4758.4
= 63.96 u² = 4758.4
u² = 74.4
u = 8.62 m /s
v = 13.8 m /s
A ceramic capacitor has an effective plate area of 4 cm2 separated by 0.1 mm of ceramic of relative
permittivity 100.
a) Calculate the capacitance of the capacitor in picofarads.
b) If the capacitor in part (a) is given a charge of 1.2 μC what will be the pd between the plates?
a) The capacitance of the ceramic capacitor is approximately 354.16 pF.
b) The potential difference between the plates of the capacitor will be approximately 3.39 x 10^6 volts.
To calculate the capacitance of the ceramic capacitor, we can use the formula:
C = (ε₀ * εᵣ * A) / d
where:
C is the capacitance,
ε₀ is the vacuum permittivity (approximately 8.854 x 10^(-12) F/m),
εᵣ is the relative permittivity of the ceramic (given as 100),
A is the effective plate area (given as 4 cm², which is equal to 4 x 10^(-4) m²),
d is the separation between the plates (given as 0.1 mm, which is equal to 0.1 x 10^(-3) m).
Let's calculate the capacitance in picofarads (pF):
a) Calculation of capacitance (C):
C = (ε₀ * εᵣ * A) / d
= (8.854 x 10^(-12) F/m * 100 * 4 x 10^(-4) m²) / (0.1 x 10^(-3) m)
= (8.854 x 100 x 4) / 0.1
= 354.16 pF
Therefore, the capacitance of the ceramic capacitor is approximately 354.16 pF.
b) To find the potential difference (PD) between the plates when the capacitor is given a charge of 1.2 μC (microcoulombs), we can use the formula:
PD = Q / C
where:
PD is the potential difference,
Q is the charge (given as 1.2 μC, which is equal to 1.2 x 10^(-6) C),
C is the capacitance (calculated in part a) as 354.16 pF, which is equal to 354.16 x 10^(-12) F).
Let's calculate the potential difference (PD):
b) Calculation of potential difference (PD):
PD = Q / C
= (1.2 x 10^(-6) C) / (354.16 x 10^(-12) F)
= 3.39 x 10^6 V
Therefore, the potential difference between the plates of the capacitor will be approximately 3.39 x 10^6 volts.
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500000000 in standard form
Answer:
5.0 x 10^8
Explanation:
because u moved it 8 times to it places
A body to projected horizontally with a velocity of 100m/s
from the top of a tower 200m above the ground deduce
the following
time of flight and
Range obtained
Answer:
(a) Time flight is 6.39 s
(b) The range of the projectile is 639 m.
Explanation:
Given;
initial horizontal velocity of the projectile, \(v_x\) = 100 m/s
initial vertical velocity of the projectile, \(v_y\) = 0
height of the tower, h = 200 m
(a) Time flight is calculated as follows;
\(h = v_yt + \frac{1}{2} gt^2\\\\h = 0 + \frac{1}{2} gt^2\\\\h = \frac{1}{2} gt^2\\\\t = \sqrt{\frac{2h}{g} } \\\\t = \sqrt{\frac{2\times 200}{9.8} }\\\\t = 6.39 \ s\)
(b) The range of the projectile is calculated as follows;
\(R = v_x \times t\\\\R = 100\ m/s \ \times \ 6.39\ s\\\\R = 639 \ m\)
If an object is placed at a distance of 12 cm from a convex lens of focal length 16 cm then calculate the image distance from the lens?
Answer:
-48cm
Explanation:
For a convex lens f is +ve and V is +ve
Using the formula 1/f=1/v+1/u
u=12cm and f=16cm
1/16-1/12=1/v
1/v=-1/48
v=-48cm
What forces are acting on the balloon as it is held in a person hand?
Answer: DADDY
Explanation:
A 0.454-kg block is attached to a horizontal spring that is at its equilibrium length, and whose force constant is 25.0 N/m. The block rests on a frictionless surface. A 5.70×10−2-kg wad of putty is thrown horizontally at the block, hitting it with a speed of 8.99 m/s and bounced with the same speed of 8.99 m/s in opposite direction. How far does the block compresses the spring?
The total momentum of the block and putty prior to their collision is
(0.454 kg) (0 m/s) + (5.70 × 10⁻² kg) (8.99 m/s) ≈ 0.512 kg•m/s
and the total momentum after the collision is
(0.454 kg) v + (5.70 × 10⁻² kg) (-8.99 m/s)
where v is the velocity of the block. Momentum is conserved, so
(0.454 kg) v + (5.70 × 10⁻² kg) (-8.99 m/s) = 0.512 kg•m/s
==> v ≈ 2.26 m/s
The total work done on the block by the spring as it gets compressed by a distance x is equal to the change in the block's kinetic energy:
1/2 (25.0 N/m) x ² = 1/2 (0.454 kg) (2.26 m/s) - 0
==> x ≈ 0.202 m ≈ 20.2 cm
A uniform sphere has a moment of inertia that is (2/5)MR2. A sphere of uniform density, with mass 29 kg and radius 0.5 m is located at the origin, and rotates around an axis parallel with the x axis. If you stand somewhere on the x axis and look toward the origin at the sphere, the sphere spins counterclockwise. One complete revolution takes 0.5 seconds. What is the rotational angular momentum of the sphere
Answer:
\(36.44\ \text{kg m/s}\hat{i}\)
Explanation:
I = Moment of inertia of sphere = \(\dfrac{2}{5}MR^2\)
M = Mass of sphere = 29 kg
R = Radius of sphere = 0.5 m
T = Time taken for one revolution = 0.5 s
\(\omega\) = Angular velocity = \(\dfrac{2\pi}{T}\)
\(L=I\omega\\\Rightarrow L=\dfrac{2}{5}MR^2\dfrac{2\pi}{T}\\\Rightarrow L=\dfrac{4MR^2\pi}{5T}\\\Rightarrow L=\dfrac{4\times 29\times 0.5^2\pi}{5\times 0.5}\\\Rightarrow L=36.44\ \text{kg m/s}\)
The rotational angular momentum of the sphere is \(36.44\ \text{kg m/s}\hat{i}\).
What is the velocity of light in meters per second in a material with an index of 2.0?
So the velocity of light in a material with an index of 2.0 is approximately 149,896,229 m/s.
What is velocity?Velocity is a vector quantity that refers to the rate at which an object changes its position in a particular direction. It is defined as the displacement of an object over time, or in other words, the distance an object moves in a specific direction per unit of time. Velocity is measured in units of distance per time, such as meters per second (m/s) or kilometers per hour (km/h). Unlike speed, which is a scalar quantity that only describes how fast an object is moving without regard to its direction, velocity includes both the speed and the direction of the motion. For example, a car traveling at 60 km/h due east has a velocity of 60 km/h in the eastward direction. A change in velocity can result from a change in speed, direction, or both.
Here,
The velocity of light in a material with an index of refraction n is given by:
v = c/n
where c is the speed of light in a vacuum (approximately 299,792,458 m/s).
Substituting n = 2.0, we get:
v = c/n
= (299,792,458 m/s)/2.0
= 149,896,229 m/s
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In an open circuit like the picture
A. the light bulb will produce light
B. a resistor controls the flow of current
C. the light bulb will be off
D. current will flow
In an open circuit like the picture the light bulb will be off. So, option (C) is correct.
What is electric circuit?Electric circuit is a way for current to flow through electricity. An electric circuit consists of a source of energy for the charged particles that make up the current, like a battery or generator; sources of current-using equipment, like lamps, electric motors, or computers; and the connecting wires or transmission lines.
Ohm's law and Kirchhoff's rules are two of the fundamental mathematical laws that define how electric circuits function.
In the given diagram, the circuit is open. So, no current passes through it and the light bulb will be off. Hence, option (C) is correct.
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Which statement about the sun's energy is correct?
It is entirely re-radiated back into space.
A part of it is destroyed by greenhouse gases.
A part of it is absorbed by atmospheric gases.
It makes Earth too hot for plants and animals to survive.
Answer:
The answer is (A)
Explanation:
We know this because The suns energy is entirely re-radiated back into space.
We know also that the answer is not (D) It makes Earth too hot for plants and animals to survive.
Atmospheric gases are gases located in the Earth's atmosphere
The green house effect is a natural process that warms the Earth's surface
I also know the answer because I took the test... FLVS exam 3.09 right?
I took it and got this question right... So i know you will! GOOD LUCK!!
Mark me brainlyest please:)
Consider the circuit in Figure 5 with e(t) = 12sin(120pit) V. When S1 and S2 are
open, i leads e by 30°. When SI is closed and S2 is open, i lags e by 30°. When S1 and S2 are closed, i has an amplitude 0.5A. What are R, L, and C?
Based on the information, it should be noted that the resistance R is 0.5 Ω.
How to calculate the resistanceWhen S1 and S2 are open, i leads e by 30°. In this case, the circuit consists of only the inductor (L) and the capacitor (C) in series. Therefore, the impedance of the circuit can be written as:
Z = jωL - 1/(jωC)
Since i leads e by 30°, we can express the phasor relationship as:
I = k * e^(j(ωt + θ))
Z = jωL - 1/(jωC) = j(120π)L - 1/(j(120π)C)
Re(Z) = 0
By equating the real parts, we get:
0 = 0 - 1/(120πC)
Let's assume that there is a resistance (R) in series with the inductor and capacitor. The impedance equation becomes:
Z = R + jωL - 1/(jωC)
Z = R + jωL
Im(Z) = ωL > 0
Substituting the angular frequency and rearranging the inequality, we have:
120πL > 0
L > 0
This condition implies that the inductance L must be greater than zero.
When S1 and S2 are closed, i has an amplitude of 0.5 A. In this case, the impedance is:
Z = R + jωL - 1/(jωC)
Since the amplitude of i is given as 0.5 A, we can express the phasor relationship as:
I = 0.5 * e^(j(ωt + θ))
By substituting this phasor relationship into the impedance equation, we can determine the value of R. The real part of the impedance must be equal to R:
Re(Z) = R
Since the amplitude of i is 0.5 A, the real part of the impedance must be equal to 0.5 A: 0.5 = R
Therefore, the resistance R is 0.5 Ω.
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In a chemical reaction, atoms are rearranged to form new substances. This happens predictably. The same reactants will form the same products no matter when or where the reaction takes place. For example, in a lab, you could combine iron and oxygen. The product will be the same iron oxide that forms on a rusty iron nail. Those are the same reactions. Similarly, if you've studied acids and bases, you probably know the products of a neutralization reaction. Acids and bases will combine in a chemical reaction to produce a salt and water.
Based on the passage, rust will form on an iron nail when what has occurred?
A
a neutralization
B
an acid has combined with a base
C
salt has reacted with water
D
iron has reacted with oxygen
Answer: D) iron has reacted with oxygen
Explanation: For example, in a lab, you could combine iron and oxygen. The product will be the same iron oxide that forms on a rusty iron nail.
The resistance RT of a platinum varies with temperature T(°C), as measured on the constant-volume gas thermometer according to the equation RT = Ro(1+AT+BT^2). Where A = 3.8×10^-3°C^-1 and B = -5.6×10^-7°C^-2. Calculate the temperature that would be on indicated on a platinum thermometer, when the gas scale reads 200°C.
The resistance indicated by the platinum thermometer at 200°C is 1.648 times the reference resistance Ro at 0°C.
The given equation is RT = Ro(1+AT+BT²), where A = 3.8×10⁻³°C⁻¹ and B = -5.6×10⁻⁷°C⁻². To determine the temperature that would be indicated on a platinum thermometer when the gas scale reads 200°C, we will have to use the given formula. RT = Ro(1+AT+BT²) .....(i)We know that the gas scale reads 200°C. Therefore, we can substitute T = 200°C in equation (i).RT = Ro (1 + A × 200 + B × 200²) = Ro (1 + 0.76 - 0.112) = Ro (1.648)Thus, the resistance that the platinum thermometer would indicate is 1.648 times the reference resistance Ro at 0°C. This is the solution to the problem.In summary, The given equation is RT = Ro(1+AT+BT²), where A = 3.8×10⁻³°C⁻¹ and B = -5.6×10⁻⁷°C⁻². To determine the temperature that would be indicated on a platinum thermometer when the gas scale reads 200°C, we substituted T = 200°C in equation (i) to get RT = Ro (1 + A × 200 + B × 200²) = Ro (1 + 0.76 - 0.112) = Ro (1.648).For more questions on thermometer
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how would you define an ocean current?
Answer:
i would describe an ocean current like a pull of the water
Explanation:
water
If the law allows abortion based on sex, should we also allow abortion based on race, ethnicity, or skin color? Briefly explain why you believe this is right or wrong.
Answer:
No because you don't have to be black or white you don't have to be a pacific race to just get it like lets say for example a asian person come in and they want to get a abortion but the doctor say no then that person can end up killing her self or when the baby is born she could end you know doing something bad. But no you do not have to be a pacific person to just get it
Explanation:
The half-life of a radioactive isotope is 210 d. How many days would it take for the decay rate of a sample of this isotope to fall to 0.58 of its initial rate?
It would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.
1. The decay rate of a radioactive isotope is proportional to the number of radioactive atoms present in the sample at any given time.
2. The decay rate can be expressed as a function of time using the formula: R(t) = R₀ * \(e^{(-\lambda t\)), where R(t) is the decay rate at time t, R₀ is the initial decay rate, λ is the decay constant, and e is the base of the natural logarithm.
3. The half-life of a radioactive isotope is the time it takes for half of the radioactive atoms in a sample to decay. In this case, the half-life is given as 210 days.
4. Using the half-life, we can find the decay constant (λ) using the formula: λ = ln(2) / T₁/₂, where ln(2) is the natural logarithm of 2 and T₁/₂ is the half-life.
5. Substituting the given half-life into the formula, we have: λ = ln(2) / 210.
6. Now, we need to find the time it takes for the decay rate to fall to 0.58 of its initial rate. Let's call this time "t".
7. Using the formula for the decay rate, we can write: 0.58 * R₀ = R₀ * e^(-λt).
8. Simplifying the equation, we get: 0.58 = \(e^{(-\lambda t\)).
9. Taking the natural logarithm of both sides, we have: ln(0.58) = -λt.
10. Substituting the value of λ from step 5, we get: ln(0.58) = -(ln(2) / 210) * t.
11. Solving for t, we have: t = (ln(0.58) * 210) / ln(2).
12. Evaluating the expression, we find: t ≈ 546.
13. Therefore, it would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.
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A girl throws a tennis ball with an initial speed of 20.0 m/s in the direction of 65.0° above the horizontal. She runs after the ball 0.30 s later from rest with a constant acceleration and then catches the ball at the same height. Ignore air resistance. (a) What is the maximum height (measured from the starting point) that the ball attains? (b) How long does it take for the girl (including the initial 0.30 s) to catch the ball? (c) How far has the ball gone horizontally when it is caught? (d) What is the acceleration of the girl during her run?
Answer:
a) h = 16.7 m
b) t = 3.4 s
c) d = 31.3 m
d) a = 5.42 m/s²
Explanation:
a) The maximum height can be calculated as follows:
\( V_{f_{y}}^{2} = V_{0_{y}}^{2} - 2gh \)
Where:
\(V_{f_{y}}\): is the final speed in "y" direction = 0 (for maximum height)
\(V_{0_{y}}\): is the initial speed in "y" direction
h: is the maximum height
g: is the gravity = 9.81 m/s²
\(h = \frac{V_{0_{y}}sin(65)^{2}}{2g} = \frac{(20*sin(65))^{2}}{2*9.81} = 16.7 m\)
b) The time that will take for the girl to catch the ball is:
\( h_{f} = h_{0} + V_{0_{y}}*t - \frac{1}{2}gt^{2} \)
By solving the above equation for t we have:
\( t = \frac{2V_{0_{y}}}{g} = \frac{2*20*sin(65)}{9.81} = 3.70 s \)
Since the girl runs after the ball 0.30 s later the total time is:
\( t = 3.70 - 0.3 = 3.4 s \)
c) The distance in x can be found as follows:
\( x = V_{0_{x}}*t = 20*cos(65)*3.7 = 31.3 m \)
d) The acceleration of the girl is:
\( x_{f} = x_{0} + V_{0_{x}}*t + \frac{1}{2}at^{2} \)
By solving the above equation for "a" we have:
\( a = \frac{2*x_{f}}{t^{2}} = \frac{2*31.3}{(3.4)^{2}} = 5.42 m/s^{2} \)
I hope it helps you!
Plzz answer this question correctly
Answer:
by reducing friction.....
please answer-WILL MARK THE BEST ANSWER AS BRAINLIEST (100 POINTS)
What type of movements occur at plate boundaries, and what type of landforms are created at each type of plate boundary?
Claim:
Evidence:
Reasoning:
Complete each section in complete sentences or bullet points.
Answer:
The Earth’s lithosphere, which includes the crust and upper mantle, is made up of a series of pieces, or tectonic plates, that move slowly over time.
A divergent boundary occurs when two tectonic plates move away from each other. Along these boundaries, earthquakes are common and magma (molten rock) rises from the Earth’s mantle to the surface, solidifying to create new oceanic crust. The Mid-Atlantic Ridge and Pacific Ring of Fire are two examples of divergent plate boundaries.
When two plates come together, it is known as a convergent boundary. The impact of the colliding plates can cause the edges of one or both plates to buckle up into a mountain ranges or one of the plates may bend down into a deep seafloor trench. A chain of volcanoes often forms parallel to convergent plate boundaries and powerful earthquakes are common along these boundaries.
At convergent plate boundaries, oceanic crust is often forced down into the mantle where it begins to melt. Magma rises into and through the other plate, solidifying into granite, the rock that makes up the continents. Thus, at convergent boundaries, continental crust is created and oceanic crust is destroyed.
Two plates sliding past each other forms a transform plate boundary. One of the most famous transform plate boundaries occurs at the San Andreas fault zone, which extends underwater. Natural or human-made structures that cross a transform boundary are offset—split into pieces and carried in opposite directions. Rocks that line the boundary are pulverized as the plates grind along, creating a linear fault valley or undersea canyon. Earthquakes are common along these faults. In contrast to convergent and divergent boundaries, crust is cracked and broken at transform margins, but is not created or destroyed.
Which of the following quantitative research methods should a researcher use when trying to understand the political views held by the young population of a specific area? a.) Participant observation b.) Written surveys c.) Secondary data analysis d.) Laboratory experiments
Answer:
Options B
Explanation:
The appropriate quantitative research method for understanding political views held by the young population of a specific area is written surveys (option b). Surveys allow for the collection of data from a large number of participants, and specific questions can be asked to gather data on political views.
Participant observation (option a) involves direct observation of individuals in a natural setting, which may not be practical for studying political views.
Secondary data analysis (option c) involves analyzing data that has already been collected, and may not be specific to the young population or the area of interest.
Laboratory experiments (option d) are typically used to study cause-and-effect relationships between variables, which may not be applicable to studying political views.
Therefore, the best option for understanding the political views held by the young population of a specific area is written surveys.
To understand the political views of the young population of a specific area, a researcher can use written surveys, participant observation, and secondary data analysis as quantitative research methods.
Explanation:If a researcher is trying to understand the political views held by the young population of a specific area, they should use written surveys, participant observation, and secondary data analysis as quantitative research methods.
Written surveys: This method involves distributing survey questionnaires to gather data on political opinions from a sample of the young population in the area. Participant observation: This method involves the researcher immersing themselves in the community and directly observing and interacting with individuals to understand their political views.Secondary data analysis: This method involves analyzing existing data sources, such as census records or previous surveys, to gain insights into the political views of the young population in the area.Learn more about Quantitative Research Methods here:https://brainly.com/question/33505242
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Describe different atoms of the same element.
Explanation:
Isotopes are atoms with different atomic masses which have the same atomic number. The atoms of different isotopes are atoms of the same chemical element; they differ in the number of neutrons in the nucleus.
Answer:
The atoms of a chemical element can exist in different types. These are called isotopes. They have the same number of protons (and electrons), but different numbers of neutrons. Different isotopes of the same element have different masses.
Explanation:
a plank rests on two supports that exert upward forces of 14N and 18N. find the weight of the plank.
Answer:
32
Explanation:
Up forces and Down forces must be equal if the object is balanced
For this question
down force is weight of the plank
up forces is 14 and 18
14+18=Weight of plank
Given the functions f(x)=(1/x-3)+1 and g(x) = (1/1+4)+3
Which statement describes the transformation of the graph of function f onto the graph of function g?
O The graph shifts 2 units right and 7 units down.
O The graph shifts 7 units left and 2 units up.
O
e graph shifts 7 units right and 2 units down.
O The graph shifts 2 units left and 7 units up.
The statement that describes the transformation of the graph of function f onto the graph of function g is: The graph shifts 2 units right and 7 units down.
To determine the transformation of the graph of function f onto the graph of function g, we compare the two functions f(x) and g(x) and observe the changes in the equations.
The function f(x) = (1/x - 3) + 1 represents a reciprocal function that is shifted vertically 1 unit up and horizontally 3 units to the right. The reciprocal function is reflected about the line y = x.
The function g(x) = (1/(1 + 4)) + 3 simplifies to g(x) = 4 + 3 = 7, which is a constant function representing a horizontal line at y = 7.
By comparing the equations, we can see that the transformation from f(x) to g(x) involves the following changes:
The term 1/x in f(x) is replaced by the constant 1/(1 + 4) in g(x), resulting in a vertical shift of 7 units up.
The term -3 in f(x) is replaced by 3 in g(x), resulting in a vertical shift of 3 units up.
The +1 in f(x) is replaced by +3 in g(x), resulting in an additional vertical shift of 2 units up.
Therefore, the overall transformation is a shift of 2 units to the right and 7 units down.
Hence, the correct statement is: The graph shifts 2 units right and 7 units down.
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There is a uniform magnetic field of magnitude B, pervading all space, perpendicular to the plane of rod and rails. The rod is released from rest, and it is observed that it accelerates to the left. In what direction does the magnetic field point?
The right hand rule to find the direction of the magnetic field for a falling bar is:
The charge is positive the magnetic field is outgoing, horizontally and towards us. The charge of the bar is negative, the magnetic field is incoming, that is horizontal away from us.
The magnetic force is given by the vector product of the velocity and the magnetic field.
F = q v x B
Where the bolds indicate vectors, F is the force, q the charge on the particle, v the velocity and B the magnetic field.
In the vector product, the vectors are perpendicular, which is why the right-hand rule has been established, see attached:
The thumb points in the direction of speed. Fingers extended in the direction of the magnetic field. The palm is in the direction of the force if the charge is positive and in the opposite direction if the charge is negative.
They indicate that the bar is dropped, therefore its speed is vertical and downwards, it moves to the left therefore this is the direction of the force, we use the right hand rule, the magnetic field must be horizontal, we have two possibilities:
If the charge is positive the magnetic field is outgoing, horizontally and towards us. If the charge of the bar is negative, the magnetic field is incoming, that is, horizontal away from us
In conclusion using the right hand rule we can find the direction of the magnetic field for a falling bar is:
The charge of the bar is negative, the magnetic field is incoming, that is horizontal away from us.The charge is positive the magnetic field is outgoing, horizontally and towards us.
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why liquid pressure increases with depth but atmospheric pressure decreases with hight?
Answer:
This pressure is reduced as you climb up in altitude and the weight of air above you decreases. Under water, the pressure exerted on you increases with increasing depth. In this case, the pressure being exerted upon you is a result of both the weight of water above you and that of the atmosphere above you.
Explanation:
Certain iguanas have been observed to run as fast as 10.0m/s.Suppose an iguana runs in a straight line at this speed for 5.00 s. The direction of motion makes an angle of 30.0° to the east of north. Find the value of the iguana’s northward displacement.
The value of the iguana’s northward displacement is 1 meter.
The velocity V of iguana is 10m/s.
The time for which iguana runs is 5 seconds.
The angle it is making with the north is 30°.
The velocity of iguana will have two components now,
One along east and one along north.
The component along east is Vcos(30°).
And the component along north is Vsin(30°).
The horizontal displacement of the iguana is,
Northward displacement = northward velocity × time.
The northward velocity is 10sin(30°).
Time is 5 seconds no matter where the iguana moves.
So,
Northwards displacement = 10sin(30°)/5
Northwards displacement = 10/10 = 1m
The displacement in north is 1 meter.
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