One end of a rope is fastened to a boat and the other end is wound around a windlass located on a dock at a point 4m above the level of the boat. If the boat is drifting away from the dock at the rate of 2m/min, how fast is the rope unwinding at the instant when the length of the rope is 5m? ...?

Answers

Answer 1
it seems that you need to solve this using phytagoras

x^2 + 4^2   = D^2

2xx'    =  yy'

y'    = xx'/y

y' = 3x2/5

= 6/5

hope this helps


Related Questions

The sound produced by touching each button on a touch-tone phone is described by y = sin 2πlt + sin 2πht where l and h are the low and high frequencies (cycles per seconD. in the figure shown.

Use a calculator to find the graph of the sound emitted by touching the 4 key in a [0, 0.01, 0.001] by [-2, 2, 1] viewing rectangle.

Answers

Your graph is attached.

It kinda looks to me like ' D ' is the choice,
but I'm pretty tired, so you oughta check it.

A visitor to the observation deck of a skyscraper manages to drop a penny over the edge. As the penny falls faster, the force due to air resistance increases. How does this affect the acceleration of the penny?
a. The acceleration decreases b. The acceleration remains constant and not zero (my answer)
c. The acceleration remains zero d. The acceleration increases.

Answers

Final answer:

The acceleration of the penny decreases as the air resistance increases because the net force acting on it reduces until it reaches terminal velocity, where acceleration becomes zero. So the answer to the question is a.

Explanation:

When a penny is dropped from an observation deck of a skyscraper, initially it accelerates due to gravity. As it gains speed, the force of air resistance increases. This air resistance force acts in the opposite direction to the penny's motion, therefore, as the air resistance increases, it will reduce the net force acting on the penny. According to Newton's second law, acceleration results from forces acting on an object divided by its mass. When the upward air resistance force equals the downward gravitational force, the net force becomes zero, and the penny no longer accelerates and reaches terminal velocity.

Therefore, as the air resistance increases while the penny falls, the acceleration of the penny decreases until it hits terminal velocity, where the acceleration will be zero. So the answer to the question is a. The acceleration decreases.

Which tools would be use to find an irregularly shaped object’s mass and volume?

Answers

Scales for weight
Any beaker to measure the volume of liquid displaced

Which element(s) is/are not balanced in this equation?
MgO+2 LiCI → MgCI2+Li2O

A.All elements are balanced
B.Mg
C.CI
D.Li

Answers

All elements are balanced. There are 1 Mg, 1 O, 2 Li's and 2 Cl's.

a particle is constrained to move along a straight line through O.
it starts initially at D, which is a fixed distance from O in the positive direction&moves at a constant velocity of 4ms^-1 for 15 sec. until; it is 100m from O for a furhter 25 sec, after which it travels in the opposite direction for 20 sec.
the total distance is 180m.

How far from O does the particle stop?
how do i draw a velocity–time graph?
and what is the final displacement of the particle from its initial position? ...?

Answers

Final answer:

The particle ends up 20 meters away from point O in the direction opposite to its initial movement, with a net displacement of -20 meters from its initial position. A velocity-time graph for the particle's motion would show constant velocities in positive and negative directions, with a stationary phase in between.

Explanation:

The situation described involves a particle's motion along a straight line with a series of movements at different speeds and directions. To solve this question, we break down the motion into segments and analyze each part to determine the final position and displacement of the particle.

The particle moves at a constant velocity of 4 m/s for 15 seconds, covering a distance of 60 m (4 m/s * 15 s).Afterwards, it remains 100m away from O for 25 seconds, which doesn't affect its position.Finally, it moves in the opposite direction for 20 seconds. Without the velocity of this movement specified, we assume it continues at the previously stated velocity of 4 m/s, thus moving 80 m backwards (4 m/s * 20 s).

The total movement towards O (+ direction) is 60m and then 80m away from O (- direction), resulting in the particle ending up 20m away from O in the direction opposite to its initial movement.

To draw a velocity-time graph, plot velocity on the y-axis and time on the x-axis. The graph will show a constant positive velocity of 4 m/s for the first 15 seconds, then a stationary phase (velocity = 0) for the next 25 seconds, followed by a constant negative velocity of -4 m/s for the last 20 seconds.

The final displacement of the particle from its initial position is a result of its entire journey, factoring in the direction of movement. Initially, it moved away from its starting point by 60m but then moved back towards it by 80m, resulting in a net displacement of -20m (20 meters in the direction opposite to the initial positive direction).

Which of the following is not a carbohydrate?

A. Cellulose
B. Sugars
C. Starches
D. Cholesterol

Answers

D. Cholesterol is a lipid. 

The option that is not a carbohydrate is cholestrol, which is the option D.

D. Cholesterol

What is  carbohydrate?

Carbohydrate are organic compounds that are made of carbon, hydrogen and oxygen atoms, forming polar hydroxyl groups, (-OH). Carbohydrate are an important source of energy in an healthy diet. There are three main types of carbohydrates, namely; sugars, starch, and fibers.

Cholesterol is a waxy, faty chemical substance that is solid and white or light yellow. The chemical formula for cholesterol is C₂₇H₄₆O, hence cholesterol is a lipid, as it has few hydroxyl groups, (-OH)

The other compounds, cellulose, sugars, and starches are carbohydrates

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A snowmobile has an initial velocity of 3.0 m/s

Part 1: If it accelerates at the rate of 0.5 m/s/s for 7.0 sec, what is the final vel.?
Part 2: If it accelerates at the rate of -0.60m/s/s, how long will it take to reach a complete stop?


Answers

My answer to the problem is as follows:
 
1. Use the kinematic formula 

Vf = Vi + a*t 

for a, Vi = 3.0 m/s, a = 0.5 m/s/s, and t = 7.o s. 

for b, Vf = 0, Vi = 3.0 m/s, and a = -0.60 m/s/s. 

I hope my answer has come to your help. God bless and have a nice day ahead!

Answer:

Part a)

[tex]v_f = 6.5 m/s[/tex]

Part b)

[tex]t = 5 seconds[/tex]

Explanation:

Part a)

As we know that

[tex]v_f = v_i + at[/tex]

here we know that

[tex]v_i = 3 m/s[/tex]

[tex]a = 0.5 m/s^2[/tex]

[tex]t = 7.0 s[/tex]

so we will have

[tex]v_f = 3 + (0.5)(7.0)[/tex]

[tex]v_f = 6.5 m/s[/tex]

Part b)

if finally the snowmobile comes to rest

So here we can say that

[tex]v_f = 0[/tex]

[tex]v_i = 3.0 m/s[/tex]

[tex]a = -0.60 m/s^2[/tex]

so now we have

[tex]v_f = v_i + at[/tex]

[tex]0 = 3.0 - (0.60)t[/tex]

[tex]t = 5 s[/tex]

Which of the following energy forms is associated with an object in motion?

potential energy
elastic potential energy
nonmechanical energy
kinetic energy

Answers

I believe it would be potential energy.

What method of heat transfer does heat energy use to reach earth from the sun?

Answers

Through radiation of the sun's rays. 

Answer: Radiation

Explanation:

Heat transfer through radiation. Radiation is one of the mode of heat transfer and is the transfer of heat from one body to another without passing through any intervening medium. It is the heat energy directly from the sun. This energy reaches the earth directly without obstruction.

Enter a one- or two-word answer that correctly completes the following statement.

If the constant force is applied for a fixed interval of time , then the _____ of the particle will increase by an amount at.

Answers

In my view it looks like this: If the constant force is applied for a fixed interval of time , then the time and velocity of the particle will increase by an amount at.

Two cars leave an intersection at the same time. One is headed south at a constant speed of 40 miles per hour, the other is headed west at a constant speed of 30 miles per hour (see the figure). Express the distance d between the cars as a function of the time t. (Hint: At t = 0 the cars leave the intersection.)

d(t)= ...?

Answers

I got into a mess of trouble when I reached the part where it says
"(see the figure)".  But I think I was able to get enough out of the
rest of the question to answer it.

One car is headed south, and the other car is headed west.
So the cars are driving on the legs of a right triangle, and the
hypotenuse is always the line between the cars.

First car:  Distance from the starting point after 't' hours = 40 t miles.

Second car:  Distance from the starting point after 't' hours = 30 t miles.

         Distance between the cars

      = hypotenuse of the right triangle

     =  √(one leg² + other leg²)

     =  √[ (40t miles)² + (30t miles)² ]

     =  √ (1600t² miles² + 900t² miles²)

     = √   2500 t² miles²

      d(t) = 50 t miles . 

The cars are 50 miles apart after 1 hour, 100 miles apart after 2 hours,
150 miles after 3 hours, 200 miles after 4 hours, . . . , etc.

Final answer:

The distance between the two cars can be expressed as a function of time using the Pythagorean theorem. At t = 0, the cars are 2 km apart, and as time progresses, their distances increase.

Explanation:

The distance between the two cars can be expressed as a function of time using the Pythagorean theorem. Let's consider the time t as the independent variable. At t = 0, both cars leave the intersection, so the distance between them is initially given by:

[tex]d(0) = \sqrt{((2 km)^2 + (0 km)^2)} = \sqrt{(4 km^2)} = 2 km[/tex]

As time progresses, the car headed south travels at a speed of 40 mph, which means its distance from the starting point increases by 40t miles. Similarly, the car headed west travels at a speed of 30 mph, increasing its distance from the starting point by 30t miles.

Using the Pythagorean theorem again, we can find the distance d between the two cars as a function of time:

[tex]d(t) = \sqrt{((40t)^2 + (30t)^2)[/tex]

Marcel is helping his two children, jacques and gilles, to balance on a seesaw so that they will be able to make it tilt back and forth without the heavier child, jacques, simply sinking to the ground. given that jacques, whose weight is w, is sitting at distance l to the left of the pivot, at what distance l1 should marcel place gilles, whose weight is w, to the right of the pivot to balance the seesaw?

Answers

Final answer:

Given that Jacques and Gilles have the same weight, Gilles should sit at the same distance as Jacques from the pivot for the seesaw to be in balance, meaning l1 (the distance for Gilles) equals l (the distance for Jacques).

Explanation:

To solve this problem, we must remember that the seesaw is in equilibrium, which means all forces and torques balance out. Here, the principle of moments states that the total clockwise moment must equal the total anticlockwise moment. It implies that, for a seesaw to balance, the weight of each person (considered as force) must be multiplied by their distance from the pivot and the two results obtained must be equal.

Since Jacques and Gilles have the same weight (w), Jacques is sitting at a distance l, the distance l1 at which Gilles should sit is found by equating Jacques' product of weight and distance to Gilles'. Therefore, l1 = l. This confirms the intuition that if they both weigh the same, they should both sit at the same distance from the pivot for the seesaw to be in balance.

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Is it true that a conductor is a material that doesn't allow electrons to flow through it easily?

Answers

False, what you described is an insulator.
A conductor WILL allow electrons to flow through it easily.

If 3000ft/3 of air crossing an evaporator coil and is cooled from 75F to 55F, what would be the volume of air,in ft/3, exiting the evaporator coil?

Answers

Final answer:

The volume of air remains the same before and after passing the evaporator coil, which is 3000 ft³, as change in temperature does not affect the volume of air assuming constant pressure and amount of air.

Explanation:

Given that the question is related to air volumes in relation to temperature changes, here we won't experience a change in volume of air due to the cooling process. According to the ideal gas law, assuming constant pressure and amount of air, a decrease in temperature does not change the volume of the air. Therefore, the volume of the air exiting the evaporator coil is still the same as the volume that entered it, which is 3000 ft³.

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Final answer:

To find the volume of air exiting the evaporator coil, you can use the ideal gas law. Plugging in the given values, the volume of air exiting the evaporator coil would be 2200 ft³.

Explanation:

To find the volume of air exiting the evaporator coil, we can use the principle of conservation of mass. The initial volume of air is given as 3000 ft³ and the final temperature is 55°F. We can assume that the air behaves ideally, so we can use the ideal gas law to solve for the final volume of air.

Using the ideal gas law:

V1/T1 = V2/T2

Where V1 is the initial volume, T1 is the initial temperature, V2 is the final volume, and T2 is the final temperature.

Plugging in the values:

V2 = (V1 * T2) / T1 = (3000 ft³ * 55°F) / 75°F = 2200 ft³

Therefore, the volume of air exiting the evaporator coil would be

2200 ft³

.

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What is newton's first law of motion?

Answers

A body continues in uniform motion unless acted on by an external force.

"Uniform motion" is another way of saying that the object has
no acceleration.  THAT means that its speed and direction aren't
changing.  It's moving in a straight line, and at a constant speed
(which may be zero). 

If you want to change the object's speed OR direction, then you'll
need to apply some force to it.  There's no other way.

Answer:

If a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.

Explanation:

IF you are skateboarding and push back with one leg, and, as a result the skateboard moves forward. Which law of motion is being described

Answers

Newton first law of motion 

Newton's First Law states that an object will remain at rest or in uniform motion in a straight line unless acted upon by an external force

What does it mean that a form of energy might take more energy to harness than it provides? Are renewable resources always renewable, or can they become non-renewable? Why aren't renewable resources used for everything that we use energy for? Explain.

Answers

Final answer:

Energy that costs more to harness than it provides indicates an energy deficit in the transformation and conversion process. Renewable resources can potentially become non-renewable if their consumption surpasses replenishment. The use of renewable resources is not ubiquitous due to cost, geographical, and technological limitations.

Explanation:

When a form of energy takes more energy to harness than it provides, it means that the energy input required to extract or convert the energy is greater than the energy output made available for use. This is a significant factor in evaluating the efficiency of energy sources and plays into the concept of energy transformation and conversion.

Renewable resources, by definition, are replenished naturally over short time scales relative to the lifetime of human civilization. However, the ability to renew does not equate to infinite availability if consumption rates surpass replenishing rates. Thus, although inherently renewable, they may de facto become non-renewable.

While renewable energy resources offer numerous benefits, including lower emissions and a reduced dependence on fossil fuels, they are not used for everything due to several factors. These include cost, geographical limitations, and technology constraints. For instance, the initial costs of renewable energy systems can be high, and not all locations receive enough sunlight or wind to be effective. Additionally, technology has not advanced to a level where renewable energy can fully replace non-renewable sources in all uses.

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Harnessing some energy sources can be inefficient if the energy input exceeds the output. Renewable resources can sometimes become non-renewable if consumed faster than they are replenished. Challenges like intermittency, energy density, infrastructure costs, and location dependency limit the use of renewable energy for all purposes.

When it is said that a form of energy might take more energy to harness than it provides, it means the energy input required to extract, process, and deliver the energy is greater than the usable energy output gained. This scenario is inefficient and often not sustainable.

Renewable resources are typically those that can be naturally replenished within a human lifespan. Examples include solar, wind, and biomass energy. However, they can become non-renewable if their rate of consumption exceeds the rate at which they are replenished, or if environmental conditions change drastically, making them less viable.

There are several reasons why renewable energy sources are not used for all energy needs:

Intermittency: Sources like solar and wind are not always available since they depend on weather and time of day.Energy Density: Renewable energy often has a lower energy density compared to fossil fuels, meaning more space and materials are needed to produce the same amount of energy.Infrastructure Costs: Transforming existing infrastructure to adapt to renewable energy can be costly and complex.Location Dependency: Some regions are more suited to certain types of renewable energy than others, making it impractical or inefficient in some areas.

While renewable resources offer many advantages, including lower environmental impact and sustainability, technical and logistical challenges must be addressed for them to replace non-renewable sources completely.

The earth's differentiation and size were significant factors for life on Earth because Earth's composition and gravitational attraction _____.

-keep the moon and sun in orbit
-keep people grounded
-helped to create and retain Earth's atmosphere
-create and retain internal heat

Answers

the answer is obviously gonna be A. because it keeps the moon,sun,AND the earth in orbit otherwise we'd be thrown out into space!!!

Final answer:

The Earth's differentiation and size have been crucial in maintaining a life-sustaining atmosphere due to its gravitational pull, which helps generate and preserve internal heat, and creates the greenhouse effect for temperature regulation.

Explanation:

The Earth's differentiation and size were critical in forming an environment suitable for life due to a combination of factors, primarily influenced by Earth's mass and gravitational forces. The composition and gravitational attraction of Earth have been instrumental in creating and retaining a protective atmosphere, which in turn has allowed for the development and sustenance of life. Differentiation is a process where gravity separates a planet's interior into layers, with heavier elements forming the core and lighter minerals forming the crust. Consequently, Earth's ability to generate and retain internal heat has contributed to the eventual development of not just an atmosphere, but one that is conducive to life, maintaining a balance of gases such as oxygen and carbon dioxide while shielding the planet from harmful radiation. Additionally, Earth's atmosphere acts as insulation, creating what's known as the greenhouse effect, which helps regulate the planet's temperature, preventing the oceans from freezing.

(a) Suppose that a NASCAR race car is moving to the right with a constant velocity of +93 m/s. What is the average acceleration of the car? (b) Twelve seconds later, the car is halfway around the track and traveling in the opposite direction with the same speed. What is the average acceleration of the car?

Answers

a. the average acceleration would be 0 since there is no change in velocity

b. Average acceleration = change in velocity/time

93- (-93)/12

= 186 /12

= 15.5 m

hope this helps

An artificial satellite circles Earth in a circular orbit at a location where the acceleration due to gravity is 9.00 m/s2. Determine the orbital period of the satellite.

Answers

 g = GMe/Re^2, where Re = Radius of earth (6360km), G = 6.67x10^-11 Nm^2/kg^2, and Me = Mass of earth. On the earth's surface, g = 9.81 m/s^2, so the radius of your orbit is:


R = Re * sqrt (9.81 m/s^2 / 9.00 m/s^2) = 6640km 

here, the speed of the satellite is:

v = sqrt(R*9.00m/s^2) = 7730 m/s 

  the time it would take the satellite to complete one full rotation is:

T = 2*pi*R/v = 5397 s * 1h/3600s = 1.50 h 

Hope it help i know it's long and may be confusing but if you have any more questions regarding this topic just hmu!  :)
Final answer:

The orbital period of a satellite depends on the radius of its orbit and the acceleration due to gravity. The mass of the satellite does not affect its orbital period. The calculation assumes a circular orbit and a uniform gravitational field.

Explanation:

The orbital period of an artificial satellite is the time it takes the satellite to complete one full orbit around the Earth. Using the given acceleration due to gravity (9.00 m/s2) and the formula for the period of an orbit, we can solve for the satellite's orbital period. The formula for the period (T) of an orbit is derived from the formula for the speed of an orbit: V_orbit = 2πr/T. This formula shows that the orbital speed is equal to the circumference of the orbit divided by the orbital period. By substituting this into the centripetal acceleration equation (a = V²/r), it can be rearranged to get the period of orbit.

The mass is cancelled out in these equations, so the mass of the satellite does not affect the orbital period or speed. Therefore, any satellite at the same altitude will have the same orbital period, regardless of its mass.

A crucial point to remember is that this calculation assumes a circular orbit, which simplifies the calculation. In reality, orbits may not always be perfectly circular. This also ignores the effect of the Earth's nonuniform gravitational field and assumes that the only force acting on the satellite is the Earth's gravity.

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A train travels at a velocity of +50 m/s. It takes 80 s to slow down to 5 m/s with constant acceleration. What was its acceleration?

Answers

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Below are the choices that should accompanied your question above. I think the answer is B. 

A. -0.064 m/s2 B. -0.56 m/s2 C. -8.0 m/s2 D. -10.0 m/s2

A 0.40kg object is attached to a spring constant 160N/m so that the object is allowed to move on a horizontal frictionless surface. The object is released from rest when the sprin g is compressed 0.15m find:
a) the force on the object and b) its acceleration at this instant.

Answers

Final answer:

The force on a 0.40kg object attached to a compressed spring is 24N, and its acceleration is 60 m/s^2 based on Hooke's Law and Newton's second law.

Explanation:

A 0.40kg object is attached to a spring with a spring constant (k) of 160N/m and is set to move on a horizontal frictionless surface. When the spring is compressed 0.15m, we need to find the force on the object and its acceleration.

Force on the Object

The force exerted by the spring can be calculated using Hooke's Law, which states that the force exerted by a spring is equal to the spring constant times the displacement from equilibrium (F = -kx). Since the displacement (x) is given as 0.15m, and k is 160N/m, the force is:

F = 160N/m * 0.15m = 24N.

Acceleration of the Object

Using Newton's second law (F = ma), the acceleration (a) can be found by dividing the force by the mass of the object. Given that the mass (m) is 0.40kg:

a = F/m = 24N / 0.40kg = 60 m/s2.

Therefore, at the moment the spring is released from being compressed by 0.15m, the force on the object is 24N and its acceleration is 60 m/s2.

A force
F acts in the x - direction, its magnitude given by F = ax^2, where x is in meters and a =5.0N/m^2
. Find the work done by this force as it acts on a particle moving from x = 0 to x = 6.0 m.

Answers

F = ax²
Integrating force with respect to distance yields work.
W = ax³/3
Applying limits:
W = a/3 [6³ - 0³]
W = 5/3 (216)
W = 360 Joules
Final answer:

The work done by a force can be calculated using the formula W = ∫F dx. In this case, we need to integrate the force function F = ax^2 and substitute the given values to find the work done.

Explanation:

The work done by a force can be calculated using the formula:

W = ∫F dx

In this case, the force acting in the x-direction is given by F = ax^2. To find the work done by this force as the particle moves from x = 0 to x = 6.0 m, we need to integrate the force function with respect to x over the given range.

Using the formula for work, we have:

W = ∫(ax^2) dx

Integrating with respect to x, we get:

W = (a/3)x^3

Substituting the values of a and x, we can calculate the work done.

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How is social status directly related to health care?

a. Wealthy Americans receive adequate medical care.

b. Poor Americans receive adequate medical care.

c. No one receives adequate medical care.

d. none of the above

Answers

Answer:

the answer is A) Wealthy Americans receive adequate medical care.

Explanation:

I got a 100 on the test on edge!

Social status can have an influence on access to healthcare, but it does not directly determine whether individuals receive adequate medical care. The most appropriate answer is none of the above.

The relationship between social status and healthcare is complex and multifaceted. Factors such as income, education, employment, insurance coverage, and systemic barriers can impact access to healthcare.

While individuals with higher social status or greater wealth may have more resources and options for healthcare, it does not guarantee that they will receive adequate or optimal medical care.

Conversely, individuals with lower social status or limited financial means may face barriers to accessing quality healthcare, but it does not mean they will not receive any medical care at all. The ability to receive adequate medical care is influenced by various individual and systemic factors, and it is not solely determined by social status.

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The planets are pulled towards the sun by?

Answers

Each planet is pulled toward the sun by gravity, and the sun is pulled toward each planet by gravity.

Which of the following was NOT an outcome of Bacon's rebellion?

A. A more direct focus on the "Indian Problem"

B. A more focused plain to isolate black slaves from white servants

C. More people where in support of armed expantion to nNative Americans' territory

D. A reformed land policy for thse living in Virgina

Answers

Answer: D

Explanation: I took the test

A reformed land policy for these living in Virgina is not an outcome of Bacon's rebellion. Hence, option D is correct.

What Bacon's rebellion?

A local conflict with the Doeg Indians on the Potomac River served as the catalyst for Bacon's Rebellion, which was waged between 1676 and 1677. The Indians started assaulting the Virginia frontier after being pursued north by Virginia militiamen, who also assaulted the Susquehannock, who were otherwise uninvolved.

The General Assembly was persuaded to approve a scheme by the governor, Sir William Berkeley, that would have isolated the Susquehannock while enlisting Indian allies on Virginia's side. Others saw the Susquehannock War as a chance to launch a general Indian war that would result in the capture of Indian slaves and lands, as well as the expression of widespread anti-Indian feeling.

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What two forces can act on an object without touching it??

Answers

magnetism and gravity.

hope this helps you

Who invented the electric scoreboard

Answers

George A. Baird did in 1908! It was for Boston baseball clubs

The electric scoreboard was invented by George A. Baird in 1908.

The electric scoreboard invention was a significant advancement in the way sports scores were displayed during games, making it easier for spectators to follow the progress of the game in real-time.

Before the electric scoreboard, scores were updated manually, often using large boards where numbers were physically changed by attendants. This process was not only slow and cumbersome but also prone to errors, especially in fast-paced sports.Baird's electric scoreboard utilized electric bulbs to display numbers, which could be controlled remotely. This allowed for quick and accurate updates of scores, enhancing the spectator experience. The invention was first used in baseball, where it helped fans keep track of runs, strikes, balls, and outs more efficiently.

the captain of a ship views the top of a lighthouse at an angle of 60degree with the horizontal at an elevation of of 6 meters above sea level.five minutes later,the same captain of the ship views the top of the same lighthouse at an angle of 30degree with the horizontal.determine the speed of the ship if the lighthouse is known to be 50 meters above sea level. ...?

Answers


As viewed on the deck, the lighthouse is 50-6 = 44 m above. First we need to compute the two distances from the captain and the lighthouse. For point1:

d1 = 44 / tan(60) = 25.403 m

For point2:
d2 = 44 / tan(30) = 76.210 m

The distance traveled by the ship in five minutes is 50.807 m or 0.050807 km. Five minutes is equivalent to 1/12 hours.

The speed is then equal to 0.050807/(1/12) kph = 0.61 kph.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

The speed of the ship is determined to be approximately 0.17 meters per second.

To determine the speed of the ship, we will need to use trigonometry to find the distances the ship travels over the 5-minute interval.

Given:

The height of the lighthouse (h) is 50 meters.The initial angle of elevation (θ₁) is 60 degrees.The final angle of elevation (θ₂) is 30 degrees.The height of the observer above sea level is 6 meters.

First, find the initial horizontal distance (d₁) from the ship to the lighthouse using tan(θ₁):

tan(60°) = height difference / d₁

tan(60°) = (50 m - 6 m) / d₁

d₁ = (44 m) / tan(60°)

d₁ = 44 / √3 ≈ 25.4 meters

Next, find the final horizontal distance (d₂) from the ship to the lighthouse using tan(θ₂):

tan(30°) = height difference / d₂

tan(30°) = (50 m - 6 m) / d₂

d₂ = (44 m) / tan(30°)

[tex]d_2 = \frac{44}{\left( \frac{\sqrt{3}}{3} \right)} = 44 \cdot \sqrt{3} \approx 76.2 \, \text{meters}[/tex]

The distance traveled by the ship (Δd) is:

Δd = d₂ - d₁ ≈ 76.2 m - 25.4 m ≈ 50.8 meters

The time interval Δt is 5 minutes, which is 300 seconds.

Therefore, the speed (v) of the ship is:

v = Δd / Δt ≈ 50.8 m / 300 s ≈ 0.17 meters per second.

A woman exerts a horizontal force of 1 pounds on a box as she pushes it up a ramp that is 2 feet long and inclined at an angle of 30 degrees above the horizontal. Find the work done on the box in ft -lbs.
...?

Answers

work done = force times distance the force parallel to the slope of the ramp 1 * cos 30 degrees work done = cos 30 * 2 ft lbs
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