a construction worker ascending at 6m/s in an open elevator 42 m above the ground drops a hammer.
A. How long does it take the hammer to hit the ground?
B. How fast is it moving when it hits the ground?

Answers

Answer 1
Let us follow the motion of the hammer first. Because the elevator is in motion, when he drops the hammer, because of inertia, there is a slight moment when the hammer also rises with the elevator. Eventually it will reach its highest peak and drop down to the floor. So, the total time for the hammer to reach the floor would include: (1) the time for it to rise with the elevator to its highest peak and (2) the time for the free fall from the highest peak to the floor.

1.) Time for it to rise with the elevator to its highest peak:
      Hmax = v²/2g = (6 m/s)²/2(9.81 m/s²) = 1.835 m
      Time to reach 1.835 m = 1.835 m * 1 s/6 m = 0.306 s
     
     Time for the free fall from the highest peak to the floor:
      t = √2y/g, where y is the total height
      y = 1.835 m + 42 m = 43.835 m
      So,
      t = √2(43.835 m )/(9.81 m/s²) = 2.989 s

      Therefore, the total time is 0.306 s + 2.989 s = 3.3 seconds

2.) Velocity of impact of a free-falling body is:
      v = √2gy
      v = √2(9.81 m/s²)(43.835 m)
      v = 29.33 m/s
Answer 2
Final answer:

The hammer takes approximately 3.36 seconds to hit the ground from a height of 42m. With an initial upward velocity of 6m/s and the acceleration due to the Earth's gravity, the hammer hits the ground at a speed of approximately 39.1m/s.

Explanation:

The subject of this question is Physics, specifically dealing with the laws of motion and gravity. When the construction worker drops the hammer from an ascending elevator, the initial velocity of the hammer is the same as the speed of the elevator, which is 6m/s. However, as the hammer falls, it accelerates under gravity (taking 9.8m/s² as the acceleration due to gravity).

A. To find out how long it takes for the hammer to hit the ground, we need to solve for time (t) using the equation of motion: h = ut + 0.5gt², where h is the height (42m), u is the initial velocity (6m/s), and g is the acceleration due to gravity (9.8m/s²). Solving this equation yields a time of approximately 3.36 seconds.

B. To find out how fast the hammer is moving when it hits the ground, we use the equation v = u + gt, where v is the final velocity, u is the initial velocity (6m/s), g is the acceleration due to gravity (9.8m/s²), and t is the time taken which we calculated previously as 3.36 seconds. Solving the equation yields the speed as approximately 39.1m/s when the hammer hits the ground.

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Related Questions

What is the volume of a board that measures 1.8cm by 8.8cm by 30.5cm?

Answers

In this question, you are given the boar length (30.5cm), width(8.8cm) and height(1.8cm). To answer this question, you need to know the formula needed to count volume. Volume is length x width x height. Since all the dimension is in the same unit (all in cm) you don't need to convert them.

The calculation would be: 30.5cm x 8.8cm x 1.8cm =483.12cm cubic

According to the uncertainty principle, if the position of a moving particle is known, what other quantity cannot be known?

Answers

The other quantity that cannot be known is velocity

What causes a hurricane to lose energy when it moves onto land?

Answers

I know that in order for a hurricane to gain energy, it needs water and warm air and since hurricanes form in the water due to thunder storms near Africa, it loses energy because there is not much water on land than it is in the ocean or sea. :)

You throw a beanbag in the air and catch it 2.2 s later at the same place at which you threw it. How high did it go? What was the initial velocity?

Answers

If the total trip took 2.2 secs, then it must took 1.1 secs to reach max height. 

We can then find the max height by realizing that the bag fell from rest and took 1.1 secs to come back to its launch point, we use formula:

hmax  = 1/2 gt^2 = 1/2 (9.8m/s/s)(1.1s)^2 
hmax =5.93m   (ANSWER)



To get the initial speed, we take that the vertical speed is zero at max height, and use 

vf^2=v0^2+2ad 

vf=final speed =0 
v0=intiial speed 
a=acceleration = -9.8m/s/s 
d=distance traveled =hmax= 5.93m 

0=v0^2+2(-9.8ms/s/)(5.93m) 
v0^2=2x9.8x5.93 
v0=10.8m/s  (ANSWER)

Compare green and orange light from the visible spectrum. which has: the longer wavelength? the greater frequency? the greater energy

Answers

Final answer:

Orange light from the visible spectrum has a longer wavelength but less frequency and energy than green light. This is due to the inherent relationships between these properties of light.

Explanation:

When comparing green and orange light from the visible spectrum, one must consider the relationships between wavelength, frequency, and energy. Light with a longer wavelength has less frequency and energy. Orange light falls at about 590-620 nm on the visible light spectrum, while green is at 495-570 nm.

This shows that orange light has a longer wavelength but less frequency and energy than green light. This is due to the inverse relationship that exists between wavelength and frequency (the longer the wavelength, the lower the frequency) and the direct relationship between frequency and energy (the higher the frequency, the greater the energy).

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Final answer:

Green light has a longer wavelength, lower frequency, and less energy compared to orange light in the visible spectrum.

Explanation:

When comparing green and orange light within visible spectrum, it's important to understand their characteristics in terms of wavelength, frequency, and energy. Green light has longer wavelength than orange light.

Consequently, because the frequency of light is inversely proportional to its wavelength, green light has a lower frequency than orange light. When it comes to energy, the shorter the wavelength, the higher the energy; therefore, green light has less energy than orange light.

Silver solder is a mixture of 40 percent silver , 40 percent tin , 14 percent copper, and 6 percent zinc. Draw a graph that shows the composition of silver solder

Answers

Final answer:

Silver solder is an alloy with a specific percentage composition that can be graphically represented using a pie chart or bar graph. Alloys combine metals like silver, tin, copper, and zinc to create a material with properties superior to its individual components.

Explanation:

Silver solder is an alloy that consists of multiple metallic components, each with a specific percentage contributing to the total composition. To visually represent the composition of silver solder, one would typically use a pie chart or a bar graph. Given the percentages, we see that silver and tin each make up 40% of the alloy, followed by copper at 14%, and zinc at 6%.

In the making of alloys like silver solder, the individual elements such as tin (Sn) are often produced through processes such as the reduction of tin oxide (SnO₂) with carbon to yield molten tin, which is then drawn off and cast into blocks. The general properties of such elements, including metalloids and their compounds like boron and silicon, are critical to understanding the behavior and uses of the final alloy.

Alloys have properties that differ from those of their constituent metals; for example, they may be harder, more durable, or have better thermal or electrical conductivity. This is why they are often utilized in areas where such enhanced properties are desired.

Final answer:

Silver solder is a mixture of 40 percent silver, 40 percent tin, 14 percent copper, and 6 percent zinc. A graph that shows the composition of silver solder can be drawn using a bar graph or a pie chart.

Explanation:

Silver solder is a mixture of 40 percent silver, 40 percent tin, 14 percent copper, and 6 percent zinc. To draw a graph that shows the composition of silver solder, you can use a bar graph or a pie chart. In the bar graph, you can represent each element with a bar of the corresponding percentage. In the pie chart, you can divide a circle into four sections, each representing one component and its percentage.

describe the net force lab and explain what the lab demonstrated

Answers

The net force acting on an object is the sum of all the force acting on it, and the net force of an object is zero. I f the forces acting on it tend to cancel each other. For example you are sit in a chair, the earth's gravity is pulling you down, but the chair is pushing you up with an equal amount of force.

A student is given an assignment to demonstrate diffraction. He takes a photograph of a straw in a glass of water. The straw appears bent at the water level. Which best describes this example? A)This is a good example of diffraction.B)This is an example of dispersion and not diffraction.C)This is an example of refraction and not diffraction.D)This is an example of reflection and not diffraction.

Answers

Diffraction or refraction

Answer: C) This is an example of refraction and not diffraction.

Explanation: The reason for the straw to appear bent at the water's surface is because of the process of refraction. Light travels at different speeds in different medium because of the varying densities.

The light travels from air to water and thus the difference in speed results in an apparent shift of the position of part of straw under water and thus the part appears broken.

Reflection is the the return of sound or light energy from the surface without absorbing it.

Diffraction is the phenomenon which occurs when the wave encounters an obstacle.

The circumference of a bicycle wheel is 2 meters. if it rotates at 1 revolution per second then its linear speed is

Answers

Final answer:

The linear speed of a bicycle wheel with a circumference of 2 meters rotating at 1 revolution per second is 2 meters per second.

Explanation:

The question seeks to find the linear speed of a bicycle wheel given its circumference and rotation rate. The circumference of the bicycle wheel is 2 meters, and it rotates at 1 revolution per second. To calculate the linear speed, we use the relationship that the linear speed (v) is the circumference (C) divided by the period of rotation (T). Since the wheel completes one revolution per second, the period T is 1 second.

Therefore, the linear speed v is given by:

v = C/T

v = 2 meters / 1 second

v = 2 meters per second (m/s).

This calculation shows that if a bicycle wheel with a circumference of 2 meters rotates at 1 revolution per second, its linear speed is 2 m/s.

A pendulum has 366 J of potential energy at the highest point of its swing. How much kinetic energy will it have at the bottom of its swing?

Answers

968 j or kg because it cannot lose any of it energy and cannot gain any extra mass from nothing
Energy can neither be created nor destroy, it can only be transformed from one form to another form.
The potential energy possessed by the pendulum can not be destroyed, neither can more energy be added to it, but it can be converted from potential energy to kinetic energy.
So, at the bottom of the swing, the kinetic energy of the pendulum is going to be 366 J.

If you are traveling at 750,000 mm/s, how many km/hr are you traveling?

Answers

2,700 km/hr so easy dudetteeee

What force is required to accelerate an object having a mass of 3 kg at 5 m/s2?

Answers

As Force = Mass × Acceleration
F = 3 kg × 5m/s² 
F = 15 kg m/s² or 15 N

The required force  to accelerate an object having a mass of 3 kg at 5 m/s² is 15 N.

What is force?

The definition of force in physics is: The push or pull on a massed object changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.

A spring balance can be used to calculate the Force. The Newton is the SI unit of force.

Given parameters:

Mass of the object: m = 3 kg.

acceleration of the object: a = 5 m/s².

Hence, from Newton's 2nd law of motion:

force = mass × acceleration

= 3 kg × 5 m/s²

= 15 N.

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The brightening of the night sky by light scattered from artificial outdoor lighting is called answer

Answers

the brightening of the night sky by light scattered from artificial outdoor lighting is called Light Pollution
Final answer:

Light pollution, caused by scattered light from outdoor artificial lighting, not only impacts astronomy but disrupts animal life cycles and contributes to unnecessary energy waste. New forms of light pollution like reflections from commercial satellites are additionally disrupting astronomical photography.

Explanation:

The brightening of the night sky by light scattered from artificial outdoor lighting is referred to as Light Pollution. This essentially is the wasted light that spills into our night sky, hindering the visibility of stars and planets - an issue of significant concern for astronomers. However, Light Pollution also disrupts life cycles of animals we share our urban and suburban environment with and leads to unnecessary operational costs for municipalities due to the excessive usage of fossil fuels.

Moreover, recent developments have indicated a new threat in the form of multiple commercial companies planning and launching numerous satellites into low-Earth orbit. This is being done to provide internet access globally, but these satellites reflect sunlight, which has started to negatively impact astronomical photography.

There are initiatives channels that share comprehensive data on Light Pollution like the International Dark-Sky Association, and citizen science projects such as Globe at Night, aimed at inviting citizens to gauge the light levels in our communities.

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Newtons thrid law of motion describes?

Answers

Newtons third law of motion is:

for every action, there is an opposite and equal reaction

Hope this helps!
For every action there is a reaction to it and it will equal the first action to it

The mass of an object relates to __________

Answers

It is either force,motion or energy:) hope I helped!
Hi Lsavagecurry

The mass of an object relates to weight. The definition of mass is weight, like how heavy something is, say for example I have a balance scale which is the picture below and I put a rock on one side and 4 more smaller rocks on the other side, of course its balanced, u might have thought one or the other is stronger but its equal because the 4 rocks were not as big as the one on the left, they were smaller but due to their quantity it equaled their same mass, but another ex is I put a elephant and a mouse on a scale, who has more mass, answer is elephant because it weighs way more than a mouse, and a mouse barely weighs anything, but its not because of mass only, if maybe there were a billion mouses against that elephant on a scale maybe they could balance it, quantity can also help as well. I hope this helps you with your question and I take no credit for the images below I got them from google.com

Gravity is greater when there is
Select one:
A. equal mass and more distance between two objects.
B. less mass and less distance between two objects.
C. more mass and less distance between two objects.
D. more mass and more distance between objects.

Answers

The correct answer is C. more mass and less distance between two objects.
Choice-C is always true. Choices B and D may be true depending on the masses and distances. Choice-A is never true.

What are 3 ways scientists can take to reduce bias?

Answers

Correct selection of the experimental unit. Randomization of the samples and order in which measurements are made. Ensuring a large sample size is covered during the experiment.

Which of the following do not involve a direction?
Check all that apply.
A.Time
B.Velocity
C.Distance
D.Acceleration

Answers

I'm pretty sure the answer is D. The equation for acceleration is velocity divided by time. So the answer is D.
Final answer:

Time and Distance do not involve direction, as they are scalar quantities. Conversely, Velocity and Acceleration indicate both magnitude and direction, making them vector quantities.

Explanation:

In the context of physics, the terms listed have different implications with regards to direction. Specifically, options A (Time) and C (Distance) do not involve a direction.

Time is a scalar quantity, and it doesn't imply any specific direction. Similarly, Distance is a scalar measurement of the interval between two locations without concerning the direction of travel.

In contrast, both Velocity and Acceleration are vector quantities, meaning they have both magnitude and direction. Velocity is the displacement over time, indicating the rate at which an object changes its position, oriented towards the direction of displacement. Acceleration, on the other hand, depicts the rate of change of velocity, also factoring in the direction in which velocity is changing.

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Yellow light is a mixture of red and green light. Which color of light would heat a yellow brick the most? red, green, or blue

Answers

Answer:

blue

Explanation:

The color of light would heat a yellow brick the most is blue.

Color of flame

A flame of light consists of different layers of light with different colors.

The colors include the following;

BlueYellowOrange, and Red

The inner core of the flame is blue which is the hottest and the color changes to yellow, orange and red towards the center of the flame with decreasing temperature.

Thus, the color of light would heat a yellow brick the most is blue.

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Newtons first law states that objects in motion stays in motion until an unbalanced force is acted upon it. what do you think this means? what would be an example of this?

Answers

Hi Spycn2115


Newton's first law states that objects in motion stay in motion until an unbalanced force is acted upon it is a good fact. When I first personally heard of it in class I had no clue but when I researched it I learned that one good example of this would be those cradle balls and if u swing it, it will keep constantly hitting each other back and fourth over and over until someone grabs it and stops it, so that's what objects in motion stays in motion until an unbalanced force is acted upon it means, because the balls are in motion by moving left to right constantly and its staying in motion by not stopping and that unbalanced force is someone or something maybe hitting it or knocking it over could stop it, balanced means staying still and equal, unbalanced means unstill so moving, the cradle balls are KE and PE, (Kinect and potential energy) because kinetic means moving, so the balls are moving, and potential means stored up, so before u even swing u have the potential energy to swing it different ways before it becomes kinetic. That's one of my favorite examples of Newton's first law and I left you a pic below of cradle balls to help you get the idea.

A car starts from rest and after 7 seconds it is moving at 42 m/s. What is the car’s average acceleration? A. 0.17 m/s2 B. 1.67 m/s2 C. 6 m/s2 D. 7 m/s2 E. none of the above

Answers

Acceleration =velocity /time
=42/7
=6

C. 6 m/s2 is correct

Why is symmetry important in an aircraft?

Answers

It's important for Aerodynamics and Balance of the plane.

Clouds, precipitation and "weather" are found largely in this atmospheric layer:

Answers

There are five layers of the atmosphere. These include the troposphere, stratosphere, mesosphere, and thermosphere. A further region at about 500 km above the Earth's surface is called the exosphere. These layers are largely distinguished based on temperature. The troposphere is the lowest part of the atmosphere and contains about 75% of all of the air and water vapor in the atmosphere/

The following is current scientific evidence supporting the nebular theory on the formation of the solar system.

A.the composition of the inner and outer planets, current observations of star formation, and the motion of the solar system

B.current observations of star formation and the path of comets

C.current observations of the structure and motion of the solar system and the nebular galaxy

D.the composition of the inner and outer planets and the amount of hydrogen and helium found in space

Answers

A.the composition of the inner and outer planets, current observations of star formation, and the motion of the solar system I hope this helps
A the answer
hope it helps

To make the jump, Neo and Morpheus have pushed against their respective launch points with their legs applying a _____ to the launch points. distance dimension equilibrium force

Answers

Final answer:

To make the jump, Neo and Morpheus apply a 'force' to their respective launch points. By Newton's third law, this force results in an equal and opposite reaction force that propels them into the air. The same principle applies to a student jumping from a window, where thrust and mutual gravitational forces come into play.

Explanation:

To make the jump, Neo and Morpheus have pushed against their respective launch points with their legs applying a force to the launch points. When any object wants to jump or launch off the ground, it must exert a force against the ground to propel itself into the air. This concept is described by Newton's third law, which states that for every action, there's an equal and opposite reaction. Therefore, when jumping, our legs push down on the ground, and in response, the ground pushes our bodies upward with an equal force, allowing us to lift off.

This is related to the example of the astronomy student mentioned in the reference material, where the student's and the Earth's mutual forces of gravity result in a change of momentum for both; however, due to Earth's much larger mass, it moves imperceptibly compared to the student. When the student jumps, his acceleration is significantly greater. This can be further explored with the concept of thrust, which is a force that pushes an object forward - in this case, upwards against gravity when the student jumps from the window.

A displacement vector has a magnitude of 810 m and points at an angle of 18° above the positive x axis. what are the x and y scalar components of this vector? x scalar component y scalar component

Answers

I attached my work and highlighted my answers. Hope it makes sense! please comment back with any questions if anything is still unclear! :)

The x and y scalar component of the displacement vector is 171.18 m and 55.62 m respectively

This question can be solved using the techneques of finding the x and y component of a vector

Vectors: These are quantity that can be measure both in magnitude and direction. E.g velocity, displement, acceleration, Force etc.

The formular for x component of a vector is given as

x = Rcos∅................ Equation 1

Where R = magnitude of the vector, ∅ = angle of inclination of the vector with the horizontal.From the question,Given: R = 810 m, ∅ = 18°Substitute these values into equation 1

       x = 180cos18

        x = 180(0.951)

        x = 171.18 m

Similarly, for the y component

         y = Rsin∅............... Equation 2

Substitute these values above into equation 2

        y = 180sin18

        y = 180(0.309)

       y = 55.62 m.

Hence, the x and y scalar component of the displacement vector is 171.18 m and 55.62 m respectively

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Ari, a young patient who is regularly treated by a psychiatrist, feels compelled to carry out repetitive tasks the same way very frequently. If Ari does not conduct these tasks with extreme precision, he can feel extremely nervous and uncomfortable.

Ari’s condition is most likely...
AD
DM
OCD
UTI

Answers

OCD would probably be the answer.

If Ari feels compelled  to carry out repetitive tasks the same way very frequently and  if he does not conduct these tasks with extreme precision, he can feel extremely nervous and uncomfortable then he must be going through c) OCD

What is OCD ?

OCD stands for Obsessive compulsive disorder is a mental health condition of obsessions and compulsions . It is a common and long lasting disorder in which a person has uncontrollable , reoccurring thoughts and behaviors that a person can feel the urge to repeat over and over .

hence , According to question Ari feels compelled  to carry out repetitive tasks the same way very frequently that means he feels uncontrollable and compelled / forced to do few tasks because of OCD.

and  if he does not conduct these tasks with extreme precision, he can feel extremely nervous and uncomfortable because of reoccurring thought of doing things over and over again

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The average mass of an automobile in the United States is about 1.440x10^6 g express this mass in kilograms

Answers

From the problem statement, this is a conversion problem. We are asked to convert from units of grams to units of kilograms. To do this, we need a conversion factor which would relate the different units involved. We either multiply or divide this certain value to the original measurement depending on what is asked. From literature, we will find that 1000 grams is equal to 1 kilogram. We use this as follows:

 1.440x10^6 g ( 1 kg / 1000 g ) = 1440 kg
Final answer:

The average mass of an automobile in the United States is about 1.440x10^6 g, which is equivalent to 1440 kg.

Explanation:

The average mass of an automobile in the United States is about 1.440x106 g. To express this mass in kilograms, you can convert from grams to kilograms by dividing the mass by 1000. Therefore, 1.440x106 g is equal to 1440 kg.

What is latitude 20 degrees north and longitude 65 degrees west?

Answers

A position in the Caribbean Sea that is 20 degrees north latitude and 65 degrees west longitude is east of Central America and south of Bermuda. Typically, it is close to South America's northern shore.

In the Caribbean Sea, east of Central America and south of Bermuda, a position is indicated by latitude 20 degrees north and longitude 65 degrees west.

This geographic location is roughly located near South America's northern coast. It describes a place with tropical weather, lush habitats, and a wide variety of marine life.

Thus, the coordinates are important for navigation, weather monitoring, and regional research because they show how the Earth's geography is dynamic and how latitude and longitude interact to define certain places on our world.

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Latitude 20 degrees north and longitude 65 degrees west locate a point in the North Atlantic Ocean, northeast of the Caribbean Sea using the geographic coordinate system.

The question asks about a location defined by latitude 20 degrees north and longitude 65 degrees west. Latitude and longitude are part of the geographic coordinate system, which is used to pinpoint any location on the Earth's surface. Latitude indicates the position north or south of the equator and ranges from 0 to 90 degrees. Longitude, on the other hand, indicates the position east or west of the prime meridian, which runs through Greenwich, England, and ranges from 0 to 180 degrees. The coordinate pair provided corresponds to a point in the North Atlantic Ocean, northeast of the Caribbean Sea.

When cartographers represent the three-dimensional earth in two dimensions, what is likely to occur?

Answers

Distortion is likely to occur

distortion is most likely to occur.

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