The Sun's diameter is approximately 200 times greater than the Moon's.
The angular diameter of an object is proportional to its physical diameter and inversely proportional to its distance from the observer. Thus, we can write the following relationship:
Actual diameter = Angular diameter × distance
For the Moon, with an angular diameter of 0.5 degrees, we can write:
Diameter of the moon = 0.5 degrees × distance of the moon
And for the Sun, with an angular diameter of 0.5 degrees and a distance that is roughly 400 times greater than the Moon's:
Diameter of the Sun = 0.5 degrees × distance of Sun = 0.5 degrees × 400 distance of the Moon = 200 × diameter of the Moon
Therefore, the Sun's diameter is approximately 200 times greater than the Moon's.
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a flexible container at an initial volume of 8.15 l 8.15 l contains 8.51 mol 8.51 mol of gas. more gas is then added to the container until it reaches a final volume of 13.7 l. 13.7 l . assuming the pressure and temperature of the gas remain constant, calculate the number of moles of gas added to the container.
The number of moles of gas added to the container is -3.56 mol, and the negative sign means that the number of moles of gas decreased, or in other words, the gas was compressed.
The number of moles of gas can be calculated using the Ideal Gas Law:
PV = nRT
where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature.
Since the pressure and temperature remain constant, we can equate the initial and final state of the gas:
n1 × (8.15 L) × (T) = n2 × (13.7 L) × (T)
Dividing both sides by T, we get:
n1 × 8.15 L = n2 × 13.7 L
Solving for n2:
n2 = (n1 × 8.15 L) / (13.7 L)
n2 = (8.51 mol) × (8.15 L) / (13.7 L)
n2 = 4.95 mol
So, the number of moles of gas added to the container is:
n2 - n1 = 4.95 mol - 8.51 mol = -3.56 mol.
Note that the answer is negative, which means that the number of moles of gas decreased, or in other words, the gas was compressed.
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cart x of mass m0 travels along a horizontal surface with a constant speed in the positive horizontal direction. cart x then collides with cart y of mass m0 , which was initially at rest. after the collision, cart y has a positive velocity. immediately after the collision, cart x and cart y could have one of three final velocities that are indicated in the table. in all scenarios, the total momentum of the two-cart system is the same before and after the collision.
The magnitude of the change in the momentum Δp of object Y compare for each scenario is Δp₃ > Δp₁ > Δp₂. Answer D.
The complete question is in the attachment. The law of conservation of momentum says that the momentum before and after the collision is always the same. For two objects X and Y
p = p'
mx v₀x + my v₀y = mx v₁x + my v₁y
p = momentum before the collisionp' momentum after the collisionmx = mass of X = m₀my = mass of Y = m₀v₀x = initial velocity for X = vv₀y = initial velocity for Y = 0v₁x = final velocity for Xv₁x = final velocity for YMomentum for Y : Δp = my v₁y - my v₀y
Scenario 1
v₁x = 0v₁y = vy₁mx v₀x + my v₀y = mx v₁x + my v₁yScenario 2
v₁x = vx₂v₁y = vy₂mx v₀x + my v₀y = mx v₁x + my v₁yScenario 3
v₁x = - vx₂v₁y = vy₃mx v₀x + my v₀y = mx v₁x + my v₁yThe magnitude of the change in the momentum Δp of object Y
Scenario 1 Δp₁ = m₀vScenario 2 Δp₂ = m₀v - m₀ vx₂Scenario 3 Δp₃ = m₀v + m₀ vx₂Δp₃ > Δp₁ > Δp₂Answer D
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adenosine normally acts in several areas of the brain to produce blank .multiple choice question.stimulation of the autonomic centers resulting in constriction of blood vesselsbehavioral sedation by inhibiting the release of other neurotransmittersfaster transmission of signals from the cns to the rest of the bodyenzymes for the synthesis of neurotransmitters
The answer is A: stimulation of the autonomic centers resulting in constriction of blood vessels.
What is blood vessel?A blood vessel is a tube-like structure found in the body that carries blood throughout the body. It is composed of three layers of tissue and forms a network of vessels that transport oxygen and nutrients to cells and tissues and remove carbon dioxide and waste products. Blood vessels include veins, arteries, and capillaries and can be found in almost all parts of the body. The vessels transport blood to and from the heart and lungs, as well as to and from all other organs and tissues.
Adenosine acts in several areas of the brain to stimulate the autonomic centers, resulting in the constriction of blood vessels. This reduces blood pressure and leads to a calming effect on the body. It also aids in the regulation of sleep and wakefulness, as well as other bodily functions.
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Jogging Jake runs at 4 m/s along a train flatcar that moves at 10 m/s in the opposite direction. Jake's speed relative to the ground is______
Choose matching term
O 5 m/s
O 11 m/s
O 4 m/s
O 6 m/s
Jake's speed relative to the ground is 14 m/s. Here option C is the correct answer.
Relative velocity is calculated using the formula: relative velocity = velocity of object 1 - velocity of object 2
In this case, Jake's velocity relative to the ground is 4 m/s (his jogging speed) - (-10 m/s) (the velocity of the flatcar).
Relative velocity = 4 m/s + 10 m/s = 14 m/s.
In physics, relative velocity refers to the velocity of an object relative to a reference frame or another object. When two objects are moving in the same or opposite directions, the relative velocity between them can be calculated using the formula: relative velocity = velocity of object 1 - velocity of object 2.
In the case of Jake and the train flatcar, the relative velocity between Jake and the ground can be calculated as the sum of his jogging velocity and the velocity of the flatcar in the opposite direction. In this scenario, Jake is jogging at 4 m/s and the flatcar is moving in the opposite direction at 10 m/s, so the relative velocity of Jake relative to the ground is 4 m/s + 10 m/s = 14 m/s.
Complete question:
Jogging Jake runs at 4 m/s along a train flatcar that moves at 10 m/s in the opposite direction. Jake's speed relative to the ground is______Choose matching term
A - 5 m/s
B - 11 m/s
C - 14 m/s
D - 16 m/s
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when is it true that the average velocity of an object is equal to the arithmetic mean of the initial and final velocities, i.e. vavg
If the velocity of an item changes at a constant rate (constant acceleration), the average velocity is determined by the arithmetic mean of the starting and final velocity during a certain time period.
An object's average velocity (v) is equal to the sum of its final velocity (v) and beginning velocity (u), divided by two. Where v is the average velocity. v denotes the final velocity.
A body's average velocity is equal to the mean of its starting and final velocity.
When the acceleration is zero or the velocity is constant, all instantaneous velocities are identical to each other as well as the average velocity.
If an object's beginning and end velocity are the same, its acceleration is zero.
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Assuming that water has a density of exactly 1 g/cm 3
, find the mass of one cubic meter of water in kilograms,
One cubic meter of water has a mass of 1000 kilograms,
since[tex]1 m^3 = 1000 L[/tex] and 1 kilogram is equal to 1000 grams.
Since the gram was initially defined as the mass of one cubic centimetre of water at its greatest density at 4 °C, the density of water is around [tex]1 g/cm^3[/tex].
One cubic centimetre equals one millilitre of volume. One cubic centimetre of water has a mass of approximately one gram at 3.98 °C (the temperature at which it reaches its greatest density).
To convert cubic centimeters to cubic meters, divide by 1000000 or multiply by 0.000001. A typical volume unit conversion is from cubic centimeters to cubic meters ([tex]cm^3 \:to \:m^3[/tex]).
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A ball is thrown straight up into the air.At each of the fallowing instants,is the magnitude of the ball's acceleration greater than g,less than g,equal at g,or zero? a.Just after leaving your hand?
b.At the very top (maximum height).
c.Just befor hitting the ground.
The pace at which a body's velocity changes is known as acceleration.The ball begins moving vertically with an initial velocity when it is hurled vertically upward.
What is the acceleration ?The pace at which a body's velocity changes is known as acceleration.The ball accelerates more quickly after releasing from the hand than it does due to gravity (g). At its highest point (maximum height), the ball accelerates at a rate equal to the acceleration caused by gravity, or g.The ball accelerates at the same rate as gravity, or g, immediately before it touches the earth. A) The ball accelerates immediately after releasing from the hand. When the ball was in the hand, it was at rest.The ball is now sent directly into the air, requiring some acceleration.In order for the ball to move with the upward force in an upward direction, this acceleration must be larger than the acceleration caused by gravity.As a result, the ball's acceleration immediately after it leaves the hand is greater than the acceleration caused by gravity, or g.B) The ball's acceleration at its highest point (maximum height): When the ball is at its highest point, its speed is zero.The ball has no velocity, but because there is only one force acting on it at its greatest point, its acceleration is equal to the force of gravity.As a result, the ball's acceleration at its highest point (maximum height) is equal to the acceleration caused by gravity, or g.C) The ball's acceleration immediately before impact with the ground. The ball was falling straight down just before impact, like a body in free fall.To learn more about acceleration refer
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Consider the falling object of mass 10 kg in Example 2 but assume now that the drag force is proportional to the square of the velocity. a. If the limiting velocity is 49 m/s (the same as in Example 2), show that the equation of motion can be written as dv dt 245 (492 – 12) Also see Problem 21 of Section 1.1. b. If y(0) = 0, find an expression for ( 1 ) at any time. c. Plot your solution from part b and the solution (26) from Example 2 on the same axes. d. Based on your plots in part e, compare the effect of a quadratic drag force with that of a linear drag force. c. Find the distance x(t) that the object falls in time t. f. Find the time T' it takes the object to fall 300 m.
The equation of motion can be written as dv/dt = (49² - v²)/245. And its explanation is given below.
The mass of the object is given 1 kg.
Let us write the differential equation of a falling object that falls under influence of the drag force described.
dv/dt = mg - cv² = 9.8 - cv²
Now, we will determine the drag coefficient c by using limiting velocity.
The limiting velocity is also an equilibrium. So, we can determine it by substituting dv/dt = 0 and v = 49 m/s
0 = 9.8 - c 49²
c = 9.8/49² = 1/245
Hence, initial differential equation can be written as,
dv/dt = 9.8 - v²/245 = (49² - v²)/245
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A50 V battery is connected to a solenoid with inductance 45 H using a wire with a resistance of 9 ohms Calculate the time it takes for the current to build up to 2 Amos this time bigger than less than or equal to the time constant of the circuit? Explain why, based on how the time constant is definest, and without just using the formula for the time constant
The time constant of the circuit is the product of the resistance and the inductance, and it represents the time it takes for the current to reach 63.2% of its maximum value when changing from 0 to its final value.
In this case, the time constant of the circuit is 45 H * 9 ohms = 405 milliseconds.
To calculate the time it takes for the current to build up to 2 A, we cannot just use the formula for the time constant. Instead, we need to use the exponential equation for the current in an RL circuit:
i(t) = i_final * (1 - e^(-t/τ))
where τ is the time constant.
Setting i(t) = 2 A, we can solve for t:
2 = 2 * (1 - e^(-t/405 ms))
e^(-t/405 ms) = 0.5
-t/405 ms = ln(0.5)
t = 405 ms * ln(2)
The time it takes for the current to build up to 2 A is less than the time constant of the circuit. This means that the circuit will reach 63.2% of its maximum current within 405 ms, but it will take longer to reach 2 A.
One of the advantages of natural gas as a source of fuel is that it is clean easy to locate safe unlimited
An advantage of natural gas as a source of fuel is that it is easy to extract
Is natural gas beneficial or detrimental?Natural gas is more ecologically friendly than other fossil fuels since it burns cleaner. When compared to other fossil fuels, it is safer and easier to store. Natural gas is highly dependable, unlike electric power, which can be disrupted during a storm. Natural gas is cheaper than other fossil fuels. In the case of traditional natural gas, once a source is discovered, the gas may be simply extracted by drilling.
Despite being simpler to store and transport than other fossil fuels and renewables, natural gas has one significant storage drawback. Its volume is four times more than that of gasoline. As a result, natural gas storage is substantially more expensive since more storage area is required.
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What is the speed of the bullet?
Answer in units of m/s.
The speed of the bullet is 2.595 m/s m/s.
What is the speed?Generally, The speed of the bullet can be determined using the formula:
v = (2 * π * r * n * θ) / 360
where:
v is the speed of the bulletr is the radius of the diskn is the rotational speed in rev/sθ is the angular displacement in degreesFirst, we need to convert the rotational speed from rev/min to rev/s:
n = 545 rev/min * (1 min / 60 s)
= 9.08 rev/s
Next, we need to convert the radius of the disk from cm to m:
r = 65 cm * (1 m / 100 cm)
= 0.65 m
Finally, we can plug in the values and solve for the speed:
v = (2 * π * 0.65 * 9.08 * 25.2) / 360
v= 2.595 m/s
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How are electromagnetic waves different than all other waves?
How are electromagnetic waves different than all other waves?
Answer:
They are contagious.
They are reflectible.
Matter can vibrate due to them.
They are capable of space travel.
Explanation:
In contrast to mechanical waves, electromagnetic waves can travel without a medium. This implies that electromagnetic waves can pass not only through solid objects like air and rock but also through empty space.Charges that are oscillating (and radiate everytime they are accelerated) produce electromagnetic waves, which have the same frequency as the oscillation. It is typically a transverse wave because the electric and magnetic fields in the majority of electromagnetic waves are perpendicular to the direction the wave goes.
A source of voltage v maintains a current I in a circuit. The power (p) input to the cicuit by the source is given by 1. P = v I 2. P – v/I 3. P = i/v 4. P= 1/(v/i)
The power (p) input to the circuit by the source is given by 1) P = v I.
Power is defined as the rate at which energy is transferred in a circuit, and it can be calculated using the equation P = v I, where P is the power, v is the voltage, and I is the current.
The voltage represents the energy per unit charge in the circuit, while the current represents the rate of flow of charge. When these two quantities are multiplied, the resulting power represents the rate at which energy is transferred in the circuit.
This equation is based on Ohm's law, which states that the power in a circuit is proportional to the square of the current and the voltage. By multiplying v and I, the equation P = v I accurately represents the power input to the circuit by the source.
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A piece of purple plastic is charged with 1.55×106
extra electrons compared to its neutral state. What is its net electric charge (including its sign) in coulombs?
A glittering glass globe is given a net electric charge of 9.53×10−6
C. Does the globe now have more or fewer electrons than it does in its neutral state?
fewer/more
How many more or fewer?
amount:
electrons
There is a charge of 1.602 10-19 coulombs per electron. If 8.51 10-6 more electrons are present. 1 electron has a coulombnage of 1.602 10-19.
What is Electrons?8.51 106 electrons/x = -1.602 10-19 * 8.51 106/1 = 1.32 10-12 coulombs. Consequently, the additional electrons provide a charge of 1.32 10-12 coulombs.
Therefore, the net charge is -1.32 10 12 coulombs (there are additional electrons, but there are also protons, therefore they have no bearing on the net charge; the additional electrons just offset the charge of the protons).
A negatively charged subatomic particle known as an electron can either be free or attached to an atom (not bound). One of the three main types of particles within an atom is an electron that is bonded to it; the other two are protons and neutrons.
Therefore, There is a charge of 1.602 10-19 coulombs per electron. If 8.51 10-6 more electrons are present. 1 electron has a coulombnage of 1.602 10-19.
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In Young's double-slit interference experiment, if the with bright fringe for light.
of wavelength 2, 0, 1, 2,-) coincides with the with dark fringe
of wavelength 2, (m=1,2,3.), then the ratio ¿/2, is (d) 2+1
Need this by midnight!!!
E= [tex]\frac{kQ}{r^{2} }[/tex]
Calculate the magnitude of the electric field (in N/C), due to a small charged sphere (Q = + 129 nC), at a point in space that is a distance 5.2 m away.
Round to nearest whole number.
The electric field strength of this field on the charge molecule is 31358.5N/C.
What is Electric field strength?Electric field strength can be defined as a quantitative expression of the intensity of an electric field at a particular location. The electric field strength can be calculated:
E = ∣q∣/4πε₀r²
q = +129 nC
r = 5.2m
E = 129 × 10⁻⁹ × 8.99 × 10⁹ × (5.2)²
E = 1159.71 × 27.04
E = 31358.5N/C
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What is thermodynamics? explain detail
Thermodynamics is a macroscopic science. Thermodynamics is the study of the relations between heat, work, temperature, and energy.
Thermodynamics is a branch that deals with heat, work and temperature, and their relation to energy, radiation and physical properties of matter. Thermodynamics is a macroscopic science which means dealing with substances in bulk or with large amount.
Thermodynamics is classified into the following four branches:
1- Classical Thermodynamics
2- Statistical Thermodynamics
3- Chemical Thermodynamics
4- Equilibrium Thermodynamics
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A car rounds a flat curve of radius R with a speed of . The coefficient of friction between the tires and the road is . For the car not to slide on the road, which of the following statements must be true? (A) The car's speed u cannot be greater than ㎍R (B) The car's speed cannot be less than μgR. (C) The radius R of the car's path cannot be greater than vo lug (D) The radius R of the car's path cannot be less (E) The centripetal acceleration must be less than g.
The vehicle's speed is [tex]\mu g r[/tex]
When the car is in drive, all the forces are in
[tex]F_N cos\theta =mg + \mu_s\ F_N sin\theta[/tex]
It is a situation in which opposing forces or actions are in equilibrium and can be either static
like when forces act on a body and the resultant is zero or dynamic as in a reversible chemical reaction when the rates of reaction in both directions are equal
The state of equilibrium is one in which the forward and backward rates of response are equal.
equilibrium and harmony the vertical axis equation should be
[tex]F_N cos\theta +\mu_s F_N cos\theta =\frac{mv^2}{R}[/tex]
and along the horizontal axis,
[tex]F_N[/tex] = normal force= mg
solving equations 1 and 2 as a pair
[tex]v^2= \frac{(\mu_s \ cos\theta + sin\theta)Rg}{cos\theta - \mu_s sin \theta}[/tex]
in order to bank [tex]\theta = 0[/tex]
= [tex]\mu_s Rg[/tex]
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at one instant, a 17.0-kg sled is moving over a horizontal surface of snow at 4.10 m/s. after 8.45 s have elapsed, the sled stops. use a momentum approach to find the magnitude of the average friction force acting on the sled while it was moving.
The magnitude of the average friction force acting on the sled is 8.37N
According to the question
We may apply the concept of conservation of momentum to determine the size of the average friction force affecting the sled. An object's change in momentum is equal to the net force that is exerted on it.
The initial momentum of the sled = it's mass * its velocity:
p_initial = m * v_initial = 17.0 kg * 4.10 m/s = 70.7 kg m/s
Since the sled has stopped, its final momentum is zero. The sled's change in momentum throughout the 8.45-second period is equal to the net force exerted on it, and this net force is equal to the friction force:
Δp = p_final - p_initial = 0 - 70.7 kg m/s = -70.7 kg m/s
The average friction force acting on the sled is equal to the change in momentum divided by the time interval over which that change took place:
f_avg = Δp / Δt = -70.7 kg m/s / 8.45 s = -8.37 N (magnitude)
The magnitude of the average friction force acting on the sled is 8.37 N.
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A gardener needs to load a lawnmower into a truck. The lawnmower has a mass of 146 kilograms. How much gravitational force must the gardener overcome to lift the lawnmower?
1423.8 N gravitational force must the gardener overcome to lift the lawnmower
Calculating the force:The gravitational force can be calculated by:
F = m × g
where F is the gravitational force, m is the mass of the lawnmower, and g is the acceleration due to gravity.
F = 146 kg × 9.8 m/s²
= 1423.8 N
So, the gardener must overcome a gravitational force of 1423.8 N to lift the lawnmower into the truck.
What does "gravitational force" imply?the attraction between any two masses in the universe caused by gravitational attraction. Newton's law of universal gravitation, which states that every particle in the universe attracts all other particles with a force proportional to the sum of their masses, was the first to describe it.
How can the gravitational force be calculated?The gravitational force can be determined by: F is the force of gravity, G is the gravitational constant (6.67 x 10-11 Nm2/kg2), m1 and m2 are the masses of the two things, and r is the distance between them.
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The diagram shows the major divisions of the periodic table. Which of the
following divisions is most likely to contain elements that are malleable and
ductile?
OA. A
OB. B
OC. Both B and C
D. C
The elements that make up a division are more likely to be ductile and malleable. The alkali metals are the elements found in the first group on the periodic table.
Explaining the periodic table:All identified chemical elements are arranged in rows (referred to as periods) and columns (referred to as groups) in the periodic table of inorganic compounds, also known as the periodic table, in ascending order of atomic number.
What is the origin of the periodic table?The periodic table's elemental order is determined by how the elements are configured electronically. The Pauli exclusions principle says that an orbital can only hold two electrons at a time. Only hydrocarbons and helium are found within the initial row of the atomic numbers.
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A rocket takes off from Earth's surface, accelerating straight up at 47.2 m/s2. Calculate the normal force (in N) acting on an astronaut of mass 89.4 kg, including his space suit. (Assume the rocket's initial motion parallel to the +y-direction. Indicate the direction with the sign of your answer.)
Answer:
The normal force acting on the astronaut is equal to the astronaut's weight minus the force of gravity acting on him. The force of gravity acting on the astronaut is equal to his mass times the acceleration due to gravity on Earth (9.8 m/s^2).
F_norm = F_gravity - ma = (89.4 kg)(9.8 m/s^2) - (89.4 kg)(47.2 m/s^2) = -4095.56 N
In this case the direction of the force is opposite to the direction of the acceleration. So the force is acting in -y direction. So the answer is -4095.56 N.
Estimate and determine the order of magnitude of the circumference of the Earth in miles and the speed of a sailboat in miles per hour. O The Earth's circumference is 10^3 mile and the the speed of a sailboat is 10^0 mile/hour.
O The Earth's circumference is 10^4 mile and the the speed of a sailboat is 10^1 mile/hour.
O The Earth's circumference is 10^5 mile and the the speed of a sailboat is 10^1 mile/hour.
O The Earth's circumference is 10^4 mile and the the speed of a sailboat is 10^0 mile/hour.
Estimate how many hours it would take to sail around the world in a sailboat using the values in Part F by determining the order of magnitude exponent n (i.e. it would take 10^n hour to sail around the world).
The Earth's circumference is 10^4 miles and the speed of a sailboat is 10^0 mile/hour, which is the closest estimate to the actual values. Here option D is the correct answer.
The Earth's circumference is approximately 40,000 km or 24,901 miles, so the order of magnitude of its circumference in miles is 10^4 miles.
The average speed of a sailboat can range from 3-15 mph, so the order of magnitude of the speed of a sailboat is 10^1 miles per hour.
To sail around the world, it would take approximately 10^5 to 10^6 hours, so the order of magnitude exponent for the time it would take to sail around the world is 10^5 to 10^6 hours.
Complete question:
Estimate and determine the order of magnitude of the circumference of the Earth in miles and the speed of a sailboat in miles per hour. A - The Earth's circumference is 10^3 miles and the speed of a sailboat is 10^0 mile/hour. B - The Earth's circumference is 10^4 mile and the speed of a sailboat is 10^1 mile/hour. C - The Earth's circumference is 10^5 miles and the speed of a sailboat is 10^1 mile/hour. D - The Earth's circumference is 10^4 mile and the speed of a sailboat is 10^0 mile/hour. Estimate how many hours it would take to sail around the world in a sailboat using the values in Part F by determining the order of magnitude exponent n (i.e. it would take 10^n hour to sail around the world).
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A force F
S
1 of magnitude 6.00
units acts on an object at the origin in a direction u 5 30.0° above
the positive x axis (Fig. P3.10). A
second force F
S
2 of magnitude
5.00 units acts on the object in
the direction of the positive
y axis. Find graphically the magnitude and direction of the resultant force F
S
1 1 F
S
2.
Answer:
To find the magnitude and direction of the resultant force F₁ + F₂, you can use the following graphical method:
Draw an arrow to represent F₁ with a length of 6.00 units and an angle of 30.0° above the x-axis. Then draw an arrow to represent F₂ with a length of 5.00 units and an angle of 90° along the y-axis. Finally, draw a vector connecting the two arrows to represent the resultant force. The magnitude of the resultant vector can be measured with a ruler, and the direction can be measured with a protractor. The magnitude of the resultant vector is approximately 8.06 units, and the direction is approximately 35.9° above the x-axis.
Answer:
To find the magnitude and direction of the resultant force F1 + F2, we can use the parallelogram method or the tail-to-tail method.
Using the parallelogram method, we would begin by drawing the vectors F1 and F2, with F1 having a magnitude of 6.00 units and a direction of 30.0° above the positive x axis, and F2 having a magnitude of 5.00 units and a direction of the positive y axis. We would then draw a diagonal from the tail of F1 to the head of F2 and another diagonal from the tail of F2 to the head of F1. The point where the diagonals intersect is the head of the resultant vector F1 + F2.
Using the tail-to-tail method, we would begin by placing the tail of F1 at the tail of F2, then drawing a vector from the head of F1 to the head of F2. The resulting vector would be the same as the one obtained with the parallelogram method.
The magnitude of the resultant force F1 + F2 can be found by using the Pythagorean theorem. The horizontal component of the force is 6.00cos(30) = 5.00 units and the vertical component is 6.00sin(30) = 3.00 units. So, the magnitude is sqrt(5^2 + 3^2)= sqrt(25+9) = sqrt(34) = 5.83 units.
The direction of the resultant force F1 + F2 can be found by using trigonometry. The tangent of the angle is 3/5, so the angle is arctan(3/5) = approximately 36.87 degrees counterclockwise from the positive x-axis.
So, the magnitude of the resultant force is 5.83 units and the direction is 36.87 degrees counterclockwise from the positive x-axis.
what is the relationship between the electric field due to the two charges and the distance from the center along the charge axis
The electric field due to two charges is inversely proportional to the square of the distance from the center along the charge axis.
That is, the electric field increases as the distance decreases and vice versa. This is because the electric field is generated by the two charges, and the further away from the center you are, the weaker the electric field will be.
The inverse square law states that the magnitude of the electric field due to two point charges is inversely proportional to the square of the distance from the center of the two charges along the line connecting them. This means that, as the distance between two charges increases, the electric field decreases, and vice versa.
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The components of the displacement A
are A=-1.00 m and A-1.732 m. Find
the magnitude of A
OA 1.90m
O B.2.00 m
OC. 2.30 m
O D. 1.00 m
Answer:1.93
Explanation:
The magnitude of a vector can be found using the Pythagorean theorem, where the components of the vector are the sides of a right triangle.
In this case, the components of displacement vector A are given as A = -1.00 m and A-1.732 m.
The magnitude of A can be calculated as follows:
A = √(-1.00 m)^2 + (1.732 m)^2 = √3.732 m^2 = 1.93 m
So, the magnitude of displacement vector A is 1.93 m.
The values of A, B, C, and D are not related to the displacement vector A, so they cannot be used to find the magnitude of A.
Choose the correct procedure for determining the components of a vector in a given coordinate system from this list: A. Align the adjacent side of a right triangle with the vector and the hypotenuse along a coordinate direction with as the included angle. B. Align the hypotenuse of a right triangle with the vector and an adjacent side along a coordinate direction with as the included angle. C. Align the opposite side of a right triangle with the vector and the hypotenuse along a coordinate direction with as the included angle. D. Align the hypotenuse of a right triangle with the vector and the opposite side along a coordinate direction with as the included angle
The correct answer is option b Align the hypotenuse of a right triangle with the vector and an adjacent side along a coordinate direction with theta as the included angle.
What is components of vector in coordinate system?
A coordinate system is a method for determining how to position points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates. The coordinates' order is important, and often they are recognized by their place in an ordered tuple or by a letter, as in "the x-coordinate." In elementary mathematics, the coordinates are assumed to be real numbers, although they could instead be complex numbers or components of a more abstract system, such as a commutative ring.
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Which of the following statements about gravitational mass is true? (1 point)
O Gravitational acceleration is irrespective of mass.
O The more mass an object has, the more gravitational acceleration it will experience.
O The less mass an object has, the less gravitational acceleration it will experience.
O Gravitational acceleration is always equal to mass.
Answer:
The more mass an object has, the more gravitational acceleration it will experience
Explanation:
So when we talk about gravitational mass, we're talking about how much an object is affected by gravity. And the correct statement is:The more mass an object has, the more gravitational acceleration it will experience.Think about it like this: a heavy bowling ball will be pulled down harder by gravity than a light tennis ball. The heavy bowling ball has more mass, so it experiences more gravitational acceleration. Make sense?
The gravitational mass is directly proportional to the acceleration of the object. The more mass an object has, the more gravitational acceleration it will experience. Thus, the correct option is B.
What is Gravitational mass?Gravitational mass is the charge to which the gravity couples. Inertial mass can be defined as a measure of how fast an object accelerates in the given same force, increasing the inertial mass implies the decreasing acceleration.
The gravitational acceleration of an object is the acceleration of an object which the mass experiences due to the impact of force of gravity on the object.
Gravitational mass is a gravitational force which is present between any pair of given objects, which is given by the formula:
F = Gm₁m₂/ r²
where, G is the universal gravitational constant, m₁ and m₂ are the masses of the two objects, and r is the distance between them.
Therefore, the correct option is B.
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An iron bar 0.50 m long and a copper bar 1.2m long are joined end to end. One end of the
iron bar is kept at 80°C while the far end of the copper bar is maintained at 00C by a
mixture of ice and water. The outer surface of the bar is logged so that there are no
thermal losses. Both bars are of circular cross section diameter 0.16m. At thermal
equilibrium the temperature at the junction of the metal Tj. Calculate Tj and rate of
energy flow. Thermal conductivity of Iron is 75 Wm-1K
-1 and Thermal conductivity of
copper is 390 Wm-1K
-1
.
Iron bar length (L1) =0.50 m at 80°C, Copper bar length (L2) =1.2m at 0°C and Diameter =0.16 m, Thermal conductivity of Iron(K₁) =75 Wm⁻¹K⁻¹, Thermal conductivity of copper(K₂) =390 Wm⁻¹K⁻¹
What is Rate of energy flow=?According to Fourier's law we know that heat transfer is given as: Q = KAΔT /l
According to question area is same. Q₁ = Q₂
K₁A (T₁ - T)/ L₁ = K₂A (T - T₂) /L₂
75 *A * (80 - T) / 0.5 = 390 * A * (T-0) / 1.2, 150 *(80-T) = 325 (T).
12000 - 150T = 325T
T= 25.26°C, Now, Rate of flow of heat is given as
Q/t = KAΔT /L, Q/t = 300 * πr² * (80-0) / 1.7 (r= 0.16/2)
Q/t = 283.7 J/s
Therefore, Iron bar length (L1) =0.50 m at 80°C, Copper bar length (L2) =1.2m at 0°C and Diameter =0.16 m, Thermal conductivity of Iron(K₁) =75 Wm⁻¹K⁻¹, Thermal conductivity of copper(K₂) =390 Wm⁻¹K⁻¹.
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If the speed of a truck is reduced from 26.7m/s to 6.7m/s within a distance of 800m. Find to How long were the breaks applied? How much longer would it take before coming to rest?
Answer:
Below
Explanation:
AVERAGE speed of the truck is ( 26.7 + 6.7) /2 = 16.7 m/s
the time required at this avg speed to cover 800 m is
800 m / 16.7 m/s = 47.9 s
acceleration is change in velocity / change in time
( 6.7 - 26.7) / 47.9 = - .4175 m/s^2
Now: vf = vo + at
0 = 6.7 + (-.4175)t shows t = 16 more seconds to stop
