A pair of glasses is dropped from the top of a 32.0m stadium. A pen is dropped 2.Os later. How high above the ground is the pen when the spectacles hit the ground? Neglect the air resistance.

Answers

Answer 1

Answer:

[tex]h_p = 30.46\ m[/tex]

Explanation:

Free Fall Motion

A free-falling object refers to an object that is falling under the sole influence of gravity. If the object is dropped from a certain height h, it moves downwards until it reaches ground level.

The speed vf of the object when a time t has passed is given by:

[tex]v_f=g\cdot t[/tex]

Where [tex]g = 9.8 m/s^2[/tex]

Similarly, the distance y the object has traveled is calculated as follows:

[tex]\displaystyle y=\frac{g\cdot t^2}{2}[/tex]

If we know the height h from which the object was dropped, we can solve the above equation for t:

[tex]\displaystyle t=\sqrt{\frac{2\cdot y}{g}}[/tex]

The stadium is h=32 m high. A pair of glasses is dropped from the top and reaches the ground at a time:

[tex]\displaystyle t_1=\sqrt{\frac{2\cdot 32}{9.8}}=2.56\ sec[/tex]

The pen is dropped 2 seconds after the glasses. When the glasses hit the ground, the pen has been falling for:

[tex]t_2=2.56 - 2 = 0.56\ sec[/tex]

Therefore, it has traveled down a distance:

[tex]\displaystyle y=\frac{9.8\cdot 0.56^2}{2} = 1.54\ m[/tex]

Thus, the height of the pen is:

[tex]h_p = 32 - 1.54\Rightarrow h_p=30.46\ m[/tex]

Answer 2

The pen is 30.52 m above the ground.

Given that the height of the stadium is h = 32m

The initial velocity of the glasses will be 0.

[tex]h=\frac{1}{2}gt^{2} \\t=\sqrt{\frac{2h}{g} } \\t=\sqrt{\frac{2*32}{9.8} }\\t=2.55s[/tex]is the time taken for the glasses to hit the ground.

Now the pen is released 2 seconds later. So by the time the glasses hit the ground the pen has spent:

[tex]t^{'}=2.55-2\\t^{'}=0.55s[/tex]in the air

distance traveled by the pen:

[tex]d=\frac{1}{2}gt^{2}\\\\d=\frac{1}{2}*9.8*0.55*0.55\\\\d=1.48m[/tex]

So the pen is  [tex]h-d=32-1.48=30.52m[/tex]  above the ground.

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Related Questions

Which of the following are examples of
molecules? Check all that apply.
two carbon atoms bonded to each other
a carbon atom
a chain of one hundred carbon atoms bonded
to one another
a carbon atom bonded to an oxygen atom

Answers

Answer:

two carbon atoms bonded to each other

a chain of one hundred carbon atoms bonded to one another

a carbon atom bonded to an oxygen atom

two carbon atoms bonded to each other a carbon atom, a chain of one hundred carbon atoms bonded to one another, a carbon atom bonded to an oxygen atom all these are examples of molecules, therefore all the given options are the correct answer

What is a molecule?

The smallest component of a substance that still has its content and characteristics is called a molecule. It is constructed of two or more atoms connected by chemical bonds. Moles are the foundation of chemistry. Molecules are designated by their elemental symbol and a subscript indicating their atom count.

Atoms are the fundamental unit of an element. They consist of a nucleus and surrounding electrons. When an atom has an incomplete electron shell, it is said to have valence electrons. When two or more atoms come together to share outer shell valence electrons, a covalent bond is formed,

Since molecules include two carbon atoms bonded to each other, one carbon atom, a chain of hundred carbon atoms bonded to one another, and a carbon atom bonded to an oxygen atom, all of the suggested answers are correct.

Learn more about molecules from here

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the wire is 5.20 cm from the charge and carries a current of 68.5 A in a direction opposite to that of the moving charge. Calculate the magnitude of the force on the charge.

Answers

Complete Question

A 6.00-µc charge is moving with a speed of 7.50x10^4 m/s parallel to a very long, straight wire. the wire is 5.20 cm from the charge and carries a current of 68.5 A in a direction opposite to that of the moving charge. Calculate the magnitude of the force on the charge.

Answer:

The value is [tex]F =1.20 *10^{-4} \ N[/tex]

Explanation:

From the question we are told that

     The magnitude of the charge is  [tex]Q = 6.00\muC = 6.00 *10^{-6} \ C[/tex]

      The speed is  [tex]v = 7.50 *10^{4} \ m/s[/tex]

      The distance of the wire from the charge is  [tex]d = 5.20 \ cm = 0.0520 \ m[/tex]

       The current flowing through the wire in the opposite direction to the charge  is  [tex]I _2 = 68.5 \ A[/tex]

  Gnerally the magnitude of force on that charge is mathematically represented as

      [tex]F = qvB[/tex]

Here B is magnetic field which is mathematically represented as

              [tex]B = \frac{\mu_o * I}{2\pi d}[/tex]

Here  [tex]\mu_o[/tex] is the permeability of free space with value  [tex]\mu_o = 4\pi * 10^{-7} N/A^2[/tex]

 So

       [tex]F = qv[\frac{\mu_o * I}{2\pi d}][/tex]

=>     [tex]F = 6.0*10^{-6} * (7.50 *10^{4})[\frac{4\pi * 10^{-7} * 68.5 }{2* 3.142 * 0.0520 }][/tex]      

=>    [tex]F =1.20 *10^{-4} \ N[/tex]

 

The cheetah, the fastest land animal, can sprint at 30 m/s. Could the cheetah get a speeding
ticket on a highway where the speed limit is 55 mph?

Answers

Answer:

#1, cheetas can't go 30 miles per second. #2 no

Explanation:

No because animals can't get tickets.

Answer:

yes

Explanation:

it would be going 67.108 mph,

I will give you branilest!

Answers

Answer:

easy thats

13

Explanation:

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1

How do wetlands reduce flooding and erosion? (Site 1)

Answers

Answer:

Wetlands reduce flooding and erosion by filtering water.

Explanation:

Answer:

Wetlands reduce flooding and erosion by filtering water.

Explanation:

all the elements are found on earth, where were they formed?
1. in the sun
2. in ancient stars
3. in earths core
4. in the gas cloud that formed earth

Answers

Answer:

in the Earths core

Explanation:

A car is moving with a constant speed of 70.0 mi/h (31.2 m/s). If its wheels have a radius of 24.1 cm, what is their angular speed

Answers

Answer:

129.46rad/s

Explanation:

Given

Linear speed v = 31.2m/s

Radius of wheel = 24.1cm = 0.241m

The formula for calculating the angular speed in terms of linear speed is expressed as;

v = wr

w is the angular velocity

r is the radius

v is the linear velocity

From the formula:

w = v/r

Substitute

w = 31.2/0.241

w = 129.46rad/s

Hence the angular speed is 129.46rad/s

How far from the home did Karen and her mother travel during the first hour of the trip?

Answers

what’s the context of this

Answer:

none cuz she was too bus yelling at the cashier at the gas station

You walk 8 blocks West, 2 blocks South, 9 blocks East, 3 blocks North, 4 blocks South. What
is the displacement between your starting and endpoints? What is the angle of displacement?
someone pls help me it’s important and i don’t know how to answer it!!

Answers

Answer:

...............,........................

What is a factor in an experiment that can be changed or it can be kept the same?

Answers

Answer:  If you are performing an experiment on the effect of spraying plants with different chemicals, you would try to maintain the same pressure and maybe the same volume when spraying your plants. The independent variable is the one factor that you are changing. It is one factor because usually in an experiment you try to change one thing at a time.

Explanation:

According to the kinetic theory, what happens when the temperature of water
increases?
The water molecules increase their speed.
The water molecules do not change speed.
The water molecules decrease their speed.

Answers

the molecules will increase their speed
The water molecules increase their speed. Think about a pot of boiling water as it gets hotter the molecules bounce off of each other more rapidly.

when electric and _______ fields both exist, it is called an electromagentic

Answers

Answer:

the answer is magnetic


A jet must reach a velocity of 75 m/s for takeoff. If the runway is
2100 meters long, what must the constant acceleration be?

Answers

Answer:

[tex]a=1.33\ m/s^2[/tex]

Explanation:

Given that,

Initialy, the jet is at rest, u = 0

Final velocity of the jet, v = 75 m/s

Distance, d = 2100 m

We need to find the acceleration of the jet. It is based on the concept of equation of kinematics. Using third equation of motion, w get :

[tex]v^2-u^2=2ad[/tex]

a is acceleration

[tex]75^2=2a\times 2100\\\\a=\dfrac{75^2}{2\times 2100}\\\\a=1.33\ m/s^2[/tex]

So, the acceleration of the jet is [tex]1.33\ m/s^2[/tex].

The Newton unit obtained from

A)Kg.m/s2
B) Kg. m
C) kg/m
D) kg ml​

Answers

Answer:

Explanation:

The Newtons unit is kg. m/s2

Option A is the correct answer


What President is responsible for eliminating most vending machines from the cafeterias of public schools ?

Answers

Answer:president obama

Explanation:Why this is because he took a of mayor Bloomebergs amti obeity  book and made new rules  for snack foods.

Explain how the ESPN network has helped the sports industry grow in the past thirty years. In your explanation, you must also explain whether the industry has peaked or whether potential for growth still exists.

Answers

Answer:

Thirty years ago, the culture of American sports took a new course. An idea shouldered by a former sports communication executive, along with his son and other partners, would go on to transform the way we consume, analyze and interpret the world of athletics, and would influence international sport culture as well. While sports have always acted as a medium for those looking to escape the drudgeries of work, a way to channel negative emotions into something engaging and entertaining, ESPN presented a new opportunity for fans: an all-encompassing cable network for not only sports itself but also for the culture surrounding sports.,

Explanation:

Hope this helped!

After a wave passes through a medium, particles in the medium
are permanently displaced in a direction opposite to the direction of the wave
remain in the new location
are moved along with the wave
return to the original position

Answers

Answer:

D. Return to the original position

Explanation:

I took the test

wavelength = 5.4 cm and frequency = 9.4 Hz
What is the speed

Answers

v = f x λ = 9.4 x 0.054 = 0.51 m/s

One end of a horizontal string is attached to a vibrating blade, and the other end passes over a pulley as in Figure (a). A sphere of mass 1.00 kg hangs on the end of the string. The string is vibrating in its second harmonic. A container of water is raised under the sphere so that the sphere is completely submerged. In this configuration, the string vibrates in its second harmonic (or the third normal mode of oscillation) as shown in Figure (b). What is the radius of the sphere?

Answers

Answer:

when it weighs 2kg it is 7.38

Explanation:

hope this helps

Object has a mass of 35g and a density of 5g/cm3.
What is the volume? *

Answers

Answer:

The answer is 7.0 mL

Explanation:

The volume of a substance when given the density and mass can be found by using the formula

[tex]volume = \frac{mass}{density} \\[/tex]

From the question

mass = 35 g

volume = 5 g/cm³

We have

[tex]volume = \frac{35}{5} \\ [/tex]

We have the final answer as

7.0 mL

Hope this helps you

I will give you branilest!

A race car exerts 18,344 N while the car travels at an acceleration of 92.54 m/s2. What is the mass of the car? (Use the formula m=F/a)

Answers

the answer is 198.23

Force(f) = 18344 N

Acceleration(a) = 92.54 m/s²

we know that m=f/a

m=18344/92.54</p><p>

ma 198.23 kg

pls mark me brainliest thankss!

A planned high-speed train between Houston and Dallas will travel a distance of 386 kilometers in 5.40 × 103 seconds. What is the average speed of this train?

Answers

The answer to your question is


556.2

To describe a position in more than one
dimension, you must use more than one______

Answers

Answer:

To describe a position in more than one dimension you must use more than one reference point. The reference point is a basis for evaluation, assessment or comparison; a criterion.

Explanation:

Hope this answer help :D

Answer:

reference point

Explanation:

Pierce conducts an experiment in which waves collide in a way that the energy increases. What has occurred?

Answers

Answer:

The best and most correct answer among the choices provided by the question is the third choice. What he observed on the waves is the constructive interference. I hope my answer has come to your help. God bless and have a nice day ahead!

Explanation:

Answer:

Pierce conducts an experiment in which waves collide in a way that the energy increases. What has occurred?

refraction

reflection

constructive interference <<<---CORRECT

destructive interference

Explanation:

2021 EDGE

In the periodic table, the number of valence electrons in each element decreases from left to right across each period.
Select one:
O True
O False

Answers

That’s true because it decreased from left to right across each. So it’s the truth

A man with mass 60 kg rides a Ferris wheel that has a radius of 20 m. The man is sitting on a scale. If the man's translational (linear) speed during the ride is a constant 5 m/s, what would the scale read at top of the ride

Answers

Answer:

75N

Explanation:

in this problem we are expected to solve for the force, and this force, is the centripetal force exerted on the man/

we know that the expression for the centripetal force is given as

F=mv^2/r

given data

mass, m=60kg

radius, r= 20m

velocity, v= 5m/s

Substituting into the expression we have

F=60*5^2/20

F=60*25/20

F=1500/20

F=75N

The reading at the top of the ride will be 75N

An area that has been re-colonized after an environmental disturbance has undergone ____________. Group of answer choices Stratification Zonation Primary Succession Secondary Succession

Answers

Answer:

Secondary succession

Explanation:

Secondary succession is one of the two major types of ecological successions (the other being primary succession). Succession, generally, is characterized by the series of changes that occurs to an ecological community within a period of time.

However, secondary succession occurs when an already colonized area (with soil formed) becomes disturbed by environmental disasters or occurrences, leading to the recolonization of the area by certain organisms. Therefore, an area that has been re-colonized after an environmental disturbance has undergone SECONDARY SUCCESSION.

PLEASE HELP
What do safety symbols look like? What do they mean? Provide at least three examples.

Answers

Answer: Safety symbols have a triangle shape, usually the colors are red, orange, and yellow. On the symbol of an element there can be a line going across diagonal They can have symbols that have a person slipping to let you know if someones mopping you may slip. Others may have one that has fire that lets you know fire may happen. And last but not least others can have deers on them to let you deers are on the street/road. Hope this helps.

Explanation:

What is the final velocity if you have an initial velocity of 4 m/s with an acceleration of 2 m/s2 over 5 second interval interval

Answers

Answer:

14m/s

Explanation:

Help me out here please!!!

Answers

Answer:

I beleive the answer is d

Explanation:

This is beause theball starts going back down because the velocity slows down.

Answer:

d

Explanation:

the velocity changes as it goes down

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