Answer:
If you add up the field on the two sides of the bounday you find that whenever there is refraction there is always some reflection to balance it out. Total internal reflection only occurs when light is passing from a higher refractive index medium to a lower refractive index medium.
Explanation:
Squared. (13-59 mod.) Four identical stars of mass M form a square that rotates around the square's center as the stars move in a common circle about that center. The square has edge length L. What is
The squared quantity is 4(2L/π)².
To calculate the quantity you're asking for, we'll first determine the distance of each star from the center of rotation. Let's assume the stars are labeled as A, B, C, and D.
The center of the square is equidistant from all four stars. Let's denote this distance as R.
Since the stars are arranged at the corners of a square, the diagonal of the square is twice the distance from a corner to the center. Therefore, the diagonal of the square has a length of 2R.
Now, let's consider the diagonal of the square as the diameter of the circle in which the stars move. The circumference of a circle is given by the formula:
C = 2πr
where C is the circumference and r is the radius of the circle.
In this case, the circumference of the circle is equal to the perimeter of the square, which is 4L. Therefore:
2πR = 4L
R = 2L/π
Now, to calculate the squared quantity you're interested in, we can find the sum of the squares of the distances of the stars from the center:
Sum = (Distance of star A)² + (Distance of star B)² + (Distance of star C)² + (Distance of star D)²
Since all four stars are equidistant from the center, we can calculate the sum as:
Sum = 4R²
Substituting the value of R we found earlier:
Sum = 4(2L/π)²
Therefore, the squared quantity you're looking for is 4(2L/π)².
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The density of water is 1. 0 g/cm3. How many kilograms of water does a submerged 120-cm3 block displace? Recall that 1. 0 g/cm3 weights 9. 8 N on earth. What is the buoyant force on the block?
The density of water is 1.0 g/cm³. It's required to determine the mass of water displaced by a submerged 120-cm³ block and the buoyant force on the block.To find the mass of water displaced by a 120 cm³ block, we first need to know the mass of 1 cm³ of water, which is equal to its density, which is 1.0 g/cm³.
The volume of the block is 120 cm³, so we can calculate its mass by multiplying its volume by the density of water. Therefore, the mass of the block submerged in water is:120 cm³ × 1.0 g/cm³ = 120 gTo find the number of kilograms, we divide the value obtained by 1000. Therefore, 120 g = 0.12 kg.The buoyant force is equal to the weight of the water displaced by the block. The buoyant force equals the weight of water displaced by the object.
The weight of 1 cm³ of water is 9.8 N (newtons), which is equal to the weight of 1 g of water. We can use this to calculate the weight of water displaced by the block as follows:120 cm³ × 1.0 g/cm³ × 9.8 N/g = 1176 NTherefore, the buoyant force acting on the block is 1176 N (Newtons).
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Our Solar System's planets formed when fragments in space joined together to form growing spheres in a process known as ____
Answer: accretion......
- An experienced pilot can keep an engineless glider aircraft aloft for hours by
using only the lift provided by rising air currents. Suppose during a flight an
upward force of 5.00 103 N is exerted on the glider. Simultaneously, the
glider experiences a forward force of 0.50 103 N. The gravitational force
acting on the glider and its pilot is 4.80 10N. Draw a free-body diagram of
the glider.
Answer:
Flift=5.00×10³ N
Fhorizontal=0.50×10³ N
Fg=4.80×10³ N
Explanation:
A free-body diagram of the glider.
pretend this is a number line
^
| Flift
|
|
|---->Fhorizontal
|
| Fg
|
∨
hope this helps! :)
An air puck of mass 0.029 kg is tied to
a string and allowed to revolve in a circle
of radius 1.7 m on a frictionless horizontal
surface. The other end of the string passes
through a hole in the center of the surface,
and a mass of 1.5 kg is tied to it, as shown.
The suspended mass remains in equilibrium
while the puck revolves on the surface.
0.029 kg
1.7 m
1.5 kg
What is the magnitude of the force that
maintains circular motion acting on the puck?
The acceleration due to gravity is 9.81 m/s?.
Answer in units of N.
part 2 of 2
What is the linear speed of the puck?
Answer in units of m/s.
(1) The magnitude of the force that maintains circular motion acting on the puck is 14.7 N.
(2) The linear speed of the puck is 29.35 m/s.
The given parameters:
Mass of air puck, m₁ = 0.029 kgSuspended mass, m₂ = 1.5 kgRadius of the circle, r = 1.7 mThe magnitude of the force that maintains circular motion acting on the puck;
\(F = \frac{m_1 v^2}{r}\)
The tension on the string due to the suspended masse is calculated as follows;
\(T = m_2 g\)
Since the two masses are in equilibrium;
\(\frac{m_1 v^2}{r} = m_2g\\\\m_1v^2 = m_2g r\\\\v^2 = \frac{m_2g r}{m_1} \\\\v= \sqrt{\frac{m_2g r}{m_1} } \\\\v = \sqrt{\frac{1.5 \times 9.8 \times 1.7}{0.029} } \\\\v = 29. 35 \ m/s\)
The magnitude of the force that maintains circular motion acting on the puck;
\(F = \frac{m_1v^2}{r} \\\\F = \frac{0.029 \times (29.35)^2}{1.7} \\\\F = 14.7 \ N\)
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Concrete sidewalks are always laid in sections, with gaps between each section. For example, the drawing shows three identical 2.4-m sections, the outer two of which are against immovable walls. The two identical gaps between the sections are provided so that thermal expansion will not create the thermal stress that could lead to cracks. What is the minimum gap width necessary to account for an increase in temperature of 41° C?
Three sections will lengthen the total by 3 mm; hence, the total length of the two gaps should be equal displacement to or larger than 3 mm, making each gap 1.5 mm or greater.
What does physics mean by displacement?
The term "displacement" refers to a shift in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial location to the ending place.
In physics, how do you express displacement?
Displacement in physics is denoted by the symbol s. The Greek word for "change in" is "delta," which is shaped like a triangle. Spatial position is indicated by the letter "s." It stands for "so"
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Suppose that a baseball is tossed up into the air at an initial velocity 27 m/s. The
height of the baseball at time t in seconds is given by h(t) = 27t- 4.9t² (in meters).
a) What is the average velocity for [1, 1.5]?
Velocity
b) What is the average velocity for [1, 1.25]?
Velocity
m/s
Velocity
m/s
c) What is the average velocity for [1, 1.1]?
m/s
Therefore, the average velocity for [1, 1.1] is 24.85 m/s. Therefore, the average velocity for [1, 1.5] is 25.65 m/s.
What is velocity?Velocity is a vector quantity that measures the rate of change of an object's position with respect to time. It includes both the speed of the object and its direction of motion. Velocity is expressed in units of distance per time, such as meters per second or miles per hour.
Here,
a) To find the average velocity for [1, 1.5], we need to calculate the displacement (change in position) during that time interval and divide it by the time elapsed:
Displacement = h(1.5) - h(1) = (27(1.5) - 4.9(1.5)²) - (27(1) - 4.9(1)²) = 12.825 meters
Time elapsed = 1.5 - 1 = 0.5 seconds
Average velocity = Displacement / Time elapsed = 12.825 / 0.5 = 25.65 m/s
b) To find the average velocity for [1, 1.25], we follow the same procedure:
Displacement = h(1.25) - h(1) = (27(1.25) - 4.9(1.25)²) - (27(1) - 4.9(1)²) = 6.4 meters
Time elapsed = 1.25 - 1 = 0.25 seconds
Average velocity = Displacement / Time elapsed = 6.4 / 0.25 = 25.6 m/s
Therefore, the average velocity for [1, 1.25] is 25.6 m/s.
c) Finally, to find the average velocity for [1, 1.1], we repeat the calculation:
Displacement = h(1.1) - h(1) = (27(1.1) - 4.9(1.1)²) - (27(1) - 4.9(1)²) = 2.485 meters
Time elapsed = 1.1 - 1 = 0.1 seconds
Average velocity = Displacement / Time elapsed = 2.485 / 0.1 = 24.85 m/s
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a worker in a radiation lab recieves a whole-body radiation dose of 25 mrad. her mass is 65 kg. the radiation delivered by alpha particles for which the rbe is 14. 1)what was the total energy absorbed by her body? eabsorbed
According to the given data, the total energy absorbed by the worker's body due to alpha radiation is 22.75 Joules.
To calculate the total energy absorbed by the worker's body, we can use the formula:
E_absorbed = Dose × Mass × RBE
where E_absorbed is the total energy absorbed, Dose is the whole-body radiation dose (in rad), Mass is the worker's mass (in kg), and RBE is the relative biological effectiveness of the alpha particles.
First, we need to convert the radiation dose from mrad to rad: 25 mrad = 0.025 rad.
Now, we can plug the values into the formula:
E_absorbed = 0.025 rad × 65 kg × 14
E_absorbed = 22.75 J
So, the total energy absorbed by the worker's body due to alpha radiation is 22.75 Joules.
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A ball is thrown vertically upward. As it rises, what happens to its potential energy?
Answer:
Explanation:
As the ball rises, its PE increases because the potential energy is equal to the mass of the ball times gravity times the height of the ball. The higher the height, the higher the PE.
Answer:
According to the law of conservation of energy its kinetic energy is getting converted in to potential energy because of gain in height. So, if the velocity of a ball goes on decreasing when it is thrown vertically upwards. When its velocity becomes zero, its potential energy becomes maximum.
how do you balance Na+O2 = Na2O
Answer:
4Na + O2 → 2Na2O
PLEASE HELPPPP!!!!!!!!!!
Answer:
I think its B
Explanation:
What statement most accurately classifies this cell?
Choose 1 answer:
(Choice A) A It is a plant cell.
(Choice B) B It is a fungal cell.
(Choice C) C It is a bacterial cell.
(Choice D) D It is an animal cell.
Answer:
D It is an animal cell.
Explanation:
Why is water pollution a concern if water is continuously cycled through Earth’s systems?
EARTH SCIENCE!!!
Answer:Water pollution is a concern because since it is cycled threw the earths system it effect the earths system in a negative way.
Explanation:
I would wait for someone else to answer just in case I’m wrong.
An object travels 8 meters in the first second of travel, 8 meters again during the second second of travel, and 8 meters again during the third second. Its VELOCITY in meters per second is O 0 0 5 O 8 O 10 O more than 10 MARE
Answer:
V = (S2 - S1) / t
V = 8 m / 1 s = 8 meters /second
A blue segmented circle on a Sectional Chart depicts which class airspace? (A) Class B. (B) Class C. (C) Class D.
The boundary of Class C airspace is depicted on a Sectional Aeronautical Chart by a solid Magenta line.
Like nautical charts do for boats or a roadmap does for cars, an aeronautical chart is a map made specifically to aid in the navigation of aeroplanes.
Pilots may find their position, a safe altitude, the best path to their destination, navigational aids all along way, alternate landing zones in case of an emergency while in flight, and other helpful information like radio frequencies & airspace limits using these charts as well as other tools.
There are long-distance maps for transoceanic travel as well as charts for all land masses on Earth. Each phase of flight requires a specific chart, which can range from a map of a specific airport facility to a summary of the instrument routes spanning a whole continent (such as global navigation charts), & so many different sorts in between.
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Tisa makes a diagram to organize her notes about charging objects.
2 overlapping circles. The left circle is labeled Friction. The right circle is labeled Conduction. An X is in the overlap.
Which statement should she place in the region marked X?
Electrons move between objects.
The objects do not touch.
The objects develop opposite charges.
The objects have the same charge.
Answer:
I believe D on edge
Explanation:
The statement she should place in the region marked X is the objects have the same charge.
What is a Venn diagram?A Venn diagram is a diagram that is composed of a square in which circles are inscribed. It can be used to easily represent information.
From the Venn diagram shown, the statement she should place in the region marked X is the objects have the same charge. This is because, the region marked x in the Venn diagram shows the intersection which can not be oppositely charged or objects that do not touch.
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I need help please :((((((
Suppose you walk across a carpet with socks on your feet. When you touch a metal door handle, you feel a shock because, c. Excess negative charges build up in your body while walking across the carpet, then jump when attracted to the positive charges in the door handle.
When you walk across a carpet with socks on your feet, the friction between the carpet and your socks causes the transfer of electrons. Electrons are negatively charged particles. As you move, the carpet rubs against your socks, stripping some electrons from the atoms in the carpet and transferring them to your socks. This results in your body gaining an excess of negative charges.
The metal door handle, on the other hand, contains positive charges. When you touch the metal door handle, there is a sudden flow of electrons from your body to the door handle. This movement of electrons is known as an electric discharge or a static shock. The excess negative charges in your body are attracted to the positive charges in the door handle, and this attraction causes the sudden discharge of electrons, resulting in the shock that you feel.
It's important to note that the shock occurs due to the difference in charges between your body and the metal door handle. The friction between your socks and the carpet allows for the buildup of static electricity, and the shock is a result of the equalization of charges when you touch the metal object. Therefore, Option E is correct.
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What level of certainty do you have that the sun will rise tomorrow
my certainty is 99.999999% because the earth has been around for about 4 quadrillion years or more and the sun has risen on almost every single one of them, so the odds of the sun not coming up are very very low.
Answer:
100%
Explanation:
Which of the following involves the emission of a particle that has the same mass of an electron with a positive charge.
a.
alpha decay
c.
positron emission
b.
beta decay
d.
nuclear forces
Answer:
The proper answer for this question would be B. Beta Decay
Explanation:
I hope this helps
How can its capacitance be doubled? Select ALL that apply. (a) Double the charge (b) Double the potential difference (c) Double the plate area (d) Double the plate separation (e) Double the dielectric constant of the material filling the gap (f) Halve the charge (g) Halve the potential difference (h) Halve the plate area (i) Halve the plate separation (j) Halve the dielectric constant of the material filling the gap (if possible)
There are five different ways to double a capacitor's capacitance. These methods are a)Double the charge ,b)Double the potential difference c)Double the plate area ,e)Double the dielectric constant of the material filling the gap ,h)(i)Halve the plate separation
a)Double the charge: Capacitance is directly proportional to the charge of a capacitor. This means that doubling the charge on a capacitor would result in its capacitance being doubled.
b)Double the potential difference: The potential difference between the two plates of a capacitor is inversely proportional to its capacitance. This means that doubling the potential difference would result in the capacitance of a capacitor being halved.
c)Double the plate area: The capacitance of a capacitor is directly proportional to the plate area. This means that doubling the plate area of a capacitor would result in its capacitance being doubled.
e)Double the dielectric constant of the material filling the gap: The dielectric constant of a material filling the gap between the two plates of a capacitor is directly proportional to its capacitance. This means that doubling the dielectric constant of a material filling the gap would result in the capacitance of a capacitor being doubled.
h)(i)Halve the plate separation: The capacitance of a capacitor is inversely proportional to the plate separation. This means that halving the plate separation would result in the capacitance of a capacitor being doubled.
To double the capacitance of a capacitor, we can double the charge, double the potential difference, double the plate area, double the dielectric constant of the material filling the gap, or halve the plate separation.
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Where is said to be a short circuit when?
A short circuit is said to occur when an electrical current is diverted from its intended path, unbroken connection between two points.
What is circuit?A circuit is an interconnected network of electronic components, including resistors, capacitors, transistors, and diodes, that allow electricity to flow through it in a controlled manner. Circuitry is used to power electrical devices and appliances, from small household items to large industrial machinery. In order for a circuit to work, each of its components must be in working order and properly connected to each other. Circuit boards are designed to provide a reliable, efficient, and safe flow of electricity.
In a circuit that have a potential difference, allowing a large amount of current to flow in an unexpected and uncontrolled manner either due to a fault in the wiring or a faulty component.
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Suppose a 18 centimeter pendulum moves according to the function A(t) 0.11cos (4t) where A is the angular displacement from the vertical in radians and t is the time in seconds. Determine the rate of change of A at 5 seconds. Round your answer to four decimal places.
A-0.1796
B-0.4017
C.0.4017
D.0.1796
E.0.0502
The angular displacement is given by the function A(t) = 0.11 cos(4t), where A is the angular displacement from the vertical in radians and t is the time in seconds.
So, the rate of change of angular displacement can be obtained by finding the derivative of A(t). Therefore, the derivative of A(t) with respect to t is given by:
dA/dt = -0.44 sin(4t)
At t = 5 seconds,
dA/dt = -0.44 sin(45)
= -0.44 sin (20)
= -0.44 × 0.9129
= -0.4017
Therefore, the rate of change of A at 5 seconds is approximately -0.4017. Therefore, option B is correct. Note: The given function A(t) is equivalent to A(t) = Amax cos(t), where Amax is the amplitude of the oscillation and ω is the angular frequency of the oscillation.
The angular frequency ω is related to the frequency f and the period T of the oscillation as follows:
ω = 2πf
= 2π/T. In the given problem, the frequency f is equal to 2 Hz (since ω = 4) and the period T is equal to 1/2 second.
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Which of the following components of granite are more resistant to chemical weathering?a. quartzb. potassium feldsparc. Potassium feldspar and quartz are equally resistant to chemical weathering
Quartz is more resistant to chemical weathering compared to potassium feldspar. Chemical weathering refers to the breakdown of minerals in rocks through reactions with water, air, and other chemicals present in the environment. The correct option is a.
Quartz, a common component of granite, is composed of silicon and oxygen, forming a highly stable crystalline structure that is highly resistant to chemical reactions. Its stability comes from the strong covalent bonds between its atoms, making it less susceptible to chemical weathering processes like hydrolysis, oxidation, and dissolution.
On the other hand, potassium feldspar is more susceptible to chemical weathering. It is an aluminum silicate mineral containing potassium and has a less stable structure compared to quartz. The primary reason for its higher susceptibility to chemical weathering is the presence of aluminum and potassium ions, which are more reactive.
This reactivity allows potassium feldspar to undergo hydrolysis, a process in which water molecules break the mineral's bonds, resulting in the formation of clay minerals and soluble salts. The soluble salts are then removed through leaching, further contributing to the breakdown of the mineral.
In summary, quartz is more resistant to chemical weathering than potassium feldspar due to its stable crystalline structure and strong covalent bonds between atoms, which make it less reactive to environmental factors. Potassium feldspar, with its more reactive aluminum and potassium ions, is more prone to chemical weathering processes like hydrolysis and leaching.
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a river 100 m wide flows due south at 1 m/s, a boat that goes 1 m/s relative to the water is pointed due east as it crosses from the west bank - the boat reaches the east bank
A river 100 m wide flows due south at 1 m/s, a boat that goes 1 m/s relative to the water .The resultant distance will be 141m.
Option A is correct.
The sum of an object's individual vector velocities is its final velocity. The scalar product of an object's mass and its acceleration vector is equal to the sum of its vector forces.
Elaborating:Considering that the boat travels in a river that flows 1 m/s due south at a speed of 1 m/s due east.
The positive x and y axes should be represented by the north and east, respectively.
After that, we can convert the boat's resulting velocity into a vector.
Vr = i - j ( 1 m/s on x axis and -1m/s on y axis)
The time required to travel 100m from west to east at a speed of 1m/s is;
Time t = distance/speed = 100m/1m/s = 100s
Distance = velocity × time = (i - j) × 100 = 100i - 100j
Distance = 100i - 100j (in vector form)
Magnitude of the Resultant distance can be given as:
dr = √(dx ²+ dy²)
dr = √(100² + 100²)
dr = √(20000)
dr = 141.42m
dr = 141m
What are relative and resultant velocity?The relative velocity refers to how one observer would perceive another moving object within their own frame. The velocity of an object when there are multiple influences on its motion in a fixed reference frame is known as the resultant velocity.
How is the boat's resulting velocity determined?At the point when an item, say, a boat, goes at a specific speed, and the medium through which it voyages, say, a stream, has its own speed, we can track down the resultant speed of the item by adding the two speeds. We find the boat's resulting velocity vector in this example.
Incomplete question:
A river 100 m wide flows 1 m/s due south. A boat that travels 1 m/s relative to the water is pointed due east as it crosses from the west bank. Relative to its starting point, the boat travels
A) 141 m.
B) 100 m.
C) 200 m.
D) more than 200 m.
E) nowhere
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calculate the ideal efficiency of an engine in which fuel is heated to 2100 k and the surrounding air is 200 k. express your answer using two significant figures. group of answer choices 25 % 20 % 90 % 80 % none of these.
The ideal efficiency of an engine can be calculated using the Carnot efficiency formula. Given that the fuel is heated to 2100 K and the ideal efficiency is approximately 80%. Option D is correct.
The ideal efficiency of the engine can be calculated using the Carnot efficiency formula. The answer, expressed with two significant figures
The Carnot efficiency formula is given by:
\(Efficiency = 1 - (Tc/Th)\)
where Tc is the temperature of the colder reservoir generator (surrounding air) and Th is the temperature of the hotter reservoir (heated fuel).
Plugging in the values:
Tc = 200 K
Th = 2100 K
Efficiency = 1 - (200/2100) = 1 - 0.0952 ≈ 0.804 ≈ 80%
Therefore, the ideal efficiency of the engine, when the fuel is heated to 2100 K and the surrounding air is 200 K, is approximately 80%. This means that the engine can convert 80% of the heat energy into useful work, with the remaining 20% being lost as waste heat.
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The complete question is
calculate the ideal efficiency of an engine in which fuel is heated to 2100 k and the surrounding air is 200 k. express your answer using two significant figures. group of answer choices
A. 25 %
B. 20 %
C. 90 %
D. 80 %
E. none of these.
What happens when the two waves meet?
A.
They superimpose and remain at the same amplitude.
B.
They experience destructive interference and cancel each other out.
C.
They experience constructive interference and have twice the amplitude.
D.
They superimpose and have half of their original amplitude.
when two or more waves meet, they interact with other. The intersection of waves with other waves is called wave interference. wave interference may occur when two waves that are traveling I opposite directions meet. the two waves pass through each other, and this affects their amplitude
Tom rides his skateboard 2.4km in 20 mins and Max rides his scooter 3.6km in 30 mins. Who is moving at a faster rate (speed)? Choose the correct formula and show your work. (what you are plugging into the calculator) Use proper units in your answer.
Answer:
The are both moving at the same speed
Explanation:
Given the following :
Tom = 2.4km in 20 minutes
Max = 3.6km in 30 minutes
To calculate the rider moving at a faster spedd, we need to calculate the speed of each rider.
Speed = distance / time
Tom's speed :
Distance = 2.4km = 2.4 × 1000 = 2400meters
Time = 20 minutes = 20 × 60 = 1200 seconds
Speed = (2400 / 1200) = 2 meter per second
Max's speed :
Distance = 3.6km = 3.6 × 1000 = 3600meters
Time = 30 minutes = 30 × 60 = 1800 seconds
Speed = (3600 / 1800) = 2 meter per second
Both Tom and Max are riding at the same speed(rate)
A boat is pulled into a dock by means of a winch 20 feet above the deck of the boat. If the boat is moving toward the dock at 2 feet per second, when there is 25 feet of rope out, what is the rate at which the winch is pulling in the rope at this instant? A) -2.5 B) 1.5 C) -1.8
D) 1.2 E) 3.1 F) 2.4
A boat is pulled into a dock by means of a winch 20 feet above the deck of the boat. If the boat is moving toward the dock at 2 feet per second, when there is 25 feet of rope out. The rate at which the winch is pulling in the rope at this instant is 25 feet per second.
The correct answer is option G.
To solve this problem, we can use the concept of related rates. Let's denote the length of the rope as "r" and the distance between the boat and the dock as "d". We are given that the boat is moving towards the dock at a rate of 2 feet per second.
We need to find the rate at which the winch is pulling in the rope, which can be represented by the derivative dr/dt.
Using the Pythagorean theorem, we can relate the variables "r" and "d":
\(d^2 = r^2 + h^2\)
where h is the height of the winch above the deck of the boat. In this case, h is given as 20 feet.
Differentiating both sides of the equation with respect to time t, we get:
2d * dd/dt = 2r * dr/dt
Simplifying the equation, we have:
dd/dt = (r/dr) * (dr/dt)
We are given that when there is 25 feet of rope out (r = 25), the boat is moving towards the dock at a rate of 2 feet per second (dr/dt = -2).
Substituting these values into the equation, we have:
dd/dt = (25/-2) * (-2) = 25 feet per second
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The question probable may be:
A boat is pulled into a dock by means of a winch 20 feet above the deck of the boat. If the boat is moving toward the dock at 2 feet per second, when there is 25 feet of rope out, what is the rate at which the winch is pulling in the rope at this instant?
A) -2.5
B) 1.5
C) -1.8
D) 1.2
E) 3.1
F) 2.4
G) 25
A 30 kg penguin slides down the side of a glacier that has a constant slope of 50° What is the magnitude of the acceleration of the penguin and what is the magnitude of the normal force it feels? Neglect any friction.A. a = 9.8 m/s2. n = 300 N B. a = 9,8 m/s2. n = 294 N C. a = 7.5 m/s2. n = 189 N D. a = 6.3 m/s2. n = 225 N
Answer:
C
Explanation:
Force downplane = m g sin (angle) = 30 * 9.81 * sin (50) = 225.4 N
since F = ma
225.4 = 30 a a = 7.51 m/s^2
Normal force will be mg cos (50) = 189 N
The magnitude of the acceleration of the penguin sliding down a slope of 50° is 7.5 m/s^2. The magnitude of the normal force the penguin feels is 189 N.
Explanation:The magnitude of the acceleration of the penguin and the normal force it feels depend on the inclined plane on which it is sliding. In Physics, we know that the acceleration due to gravity is 9.8 m/s^2 and it acts downwards at all times. However, when an object is on an inclined plane, part of this acceleration is used to pull the object down the slope. This is given by: a = g * sin(θ) where a is the acceleration, g is the acceleration due to gravity and θ is the angle of inclination.
So, in this scenario: a = 9.8 * sin(50°) = 7.5 m/s^2, this is the magnitude of the acceleration of the penguin sliding.Talking about the Normal force, Normal force (n) is given by the expression: n = m * g * cos(θ), where m is the mass of the object. Substituting the given values: n = 30 kg * 9.8 m/s^2 * cos(50°) ≈ 189 N. So, the magnitude of the normal force the penguin feels is about 189 N.
Therefore, your answer is: C. a = 7.5 m/s^2. n = 189 N
Learn more about Physics on Inclined Planes here:https://brainly.com/question/32899201
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The function f(x)=−0.0025x2+0.243x+3 models the path of a rocket in feet. Explain how you would use the function to determine the height the rocket was launched from, how far it traveled, and the greatest height it reached. Answer in complete sentences.
Answer:
The quadratic function models the path of the rocket. When we substitute an x value, we can determine the height in feet of the rocket.
To determine the height it was launched from, we would look at the y-intercept. This represents the starting value, as time = 0 in this point (cannot have negative time).
To determine how far the rocket traveled, we would look at the positive x-intercept of the expression. At this point, height = 0, so we can see the distance from start to finish of the rocket.
To determine the greatest height achieve, we would look at the vertex of the parabola generated from the given function. Using (-b/a, f(-b/a)), we can determine the greatest height achieved.