A 0.75-kg ball falls vertically downward from a height of 55.0 m and rebounds upward. if the ball reaches a height of 30.0 m and the contact between the ball and ground lasts 2.50 ms, what is the average force exerted on the ball by the ground?

Answers

Answer 1
Impuls I is given by:
[tex]I = \delta mv = |F|t[/tex]
where [tex]\delta mv[/tex] is the change in momentum, [tex]|F|[/tex] is the average force and t is the time.

Solve the equation for the force F:
[tex]|F| = \frac{\delta mv}{t} = \frac{m(v_f - v_i)}{t}[/tex]

Energy should be conserved, so the velocities will be:
[tex] \frac{1}{2}mv^2 = mgh \\ v = \sqrt{2gh} [/tex]

Combining both equations:
[tex]|F| = \frac{m( \sqrt{2g(h_f + h_i)} )}{t} [/tex]
where [tex]h_f = 30m, h_i = 55m, m = 0.75kg, t = 0.0025s[/tex]
Answer 2
Final answer:

The average force exerted on the ball by the ground can be calculated using the principle of change in momentum, under the effect of gravity. After performing the necessary calculations with the provided values, we find a significant negative result, reflecting the downward direction of the force.

Explanation:

The subject of this question is Physics, specifically mechanics, and it pertains to the high school level. The ball falls from a height, and then rebounds - this is a situation of dynamics under the effect of gravity. To calculate the average force exerted on the ball by the ground, we need to find the change in momentum and divide it by the time it takes. The initial momentum of the ball is m*g*h1 = m*v1, where g is the acceleration due to gravity (i.e., 9.8m/s²), m is mass, and h1 is the initial height. Finding the initial velocity v1 involves some calculations, using  √(2*g*h1). The final momentum of the ball is -m*g*h2 because the ball is moving upward. Here, the force exerted on the ball is the change in momentum divided by the time of contact, that is, (m*g*h2 -(-m*g*h1))/t which in calculations with the provided values gives a large negative value, signifying the direction of the force (downward). This is the average force exerted on the ball by the ground.

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Related Questions

A 2.90-kg ball, moving to the right at a velocity of 4.69 m/s on a frictionless table, collides head-on with a stationary 8.80-kg ball. find the final velocities of (a) the 2.90-kg ball and of (b) the 8.80-kg ball if the collision is elastic. (c) find the magnitude and direction of the final velocity of the two balls if the collision is completely inelastic.

Answers

Final answer:

The problem requires applying the conservation of momentum and kinetic energy to find final velocities for elastic collisions, and only momentum conservation for inelastic collisions.

Explanation:

The question involves a 2.90-kg ball colliding with an 8.80-kg stationary ball. For elastic collisions, we use conservation of momentum and conservation of kinetic energy. For inelastic collisions, we only use the conservation of momentum.

(a) For the 2.90-kg ball, we first apply the law of conservation of momentum:


 m1×v1_initial + m2×v2_initial = m1×v1_final + m2×v2_final,

where m1 = 2.90 kg, v1_initial = 4.69 m/s, m2 = 8.80 kg, and v2_initial = 0 m/s.

(b) The final velocity of 8.80-kg ball is also determined by applying conservation of momentum and energy for an elastic collision.

c) If the collision is completely inelastic, the balls stick together and move with the same final velocity. This is found using:


 (m1 + m2) × v_final = m1×v1_initial + m2×v2_initial,

We can solve these equations to find the final velocities of both balls for both scenarios.

In the video, you saw NASA launch a rocket carrying a rover to Mars. What is the mission of the Mars land rover, and why is it important?

Answers

The Curiosity rover launched on a two-stage Atlas V-541 launch vehicle, provided by United LaunchAlliance, a joint venture of Boeing Co. and Lockheed Martin Corp.

The rover sends photographs of Mars back to Earth. These pictures show scientists the landscape of the planet. The rover also collects specimens and looks for evidence of water so we can determine whether life could ever exist on Mars.

A pair of narrow slits, separated by 1.8 mm, is illuminated by a monochromatic light source. light waves arrive at the two slits in phase, and a fringe pattern is observed on a screen 4.8 m from the slits. if there are 6.0 complete bright fringes per centimeter on the screen near the center of the pattern, what is the wavelength of the monochromatic light?

Answers

For the bright fringes to appear the difference in the path traveled must be multiple of the wavelength: 
[tex]dsin(\theta)=m\lambda[/tex]
Using approximation when y is much smaller than L:
[tex]sin(\theta)= \frac{y}{L}[/tex]
We get: 
[tex]y=\frac{m\lambda L}{d}[/tex]
Which means that distance between two bright fringes is: 
[tex] \Delta y= \frac{\lambda L }{d} [/tex]
We know that in our case the distance between two bright fringes is: 
[tex]\Delta y=\frac{1cm}{6}=0.166cm[/tex]
[tex]\lambda=\frac{\Delta y d}{L}=6.2475\cdot10^{-7}m=624.75nm[/tex]

Final answer:

The wavelength of the monochromatic light in the double slit experiment is calculated to be 625 nm, using the provided measurements and the double slit interference formula.

Explanation:

The student is asking to determine the wavelength of monochromatic light based on observations from a double slit interference experiment. Given that the slit separation is 1.8 mm, the distance to the screen is 4.8 m, and there are 6.0 complete bright fringes per centimeter on the screen, we can calculate the wavelength using the formula for double slit interference, λ = Δy × d / D, where λ is the wavelength of light, Δy is the distance between adjacent bright fringes (the fringe spacing), d is the separation between the slits, and D is the distance from the slits to the screen.

First, we find the fringe spacing by noting that there are 6 bright fringes per centimeter, so Δy = 1 cm / 6 = 0.1667 cm = 1.667 mm. We can then use the given values to calculate the wavelength:

[tex]λ = (1.667 \times 10^{-3} m) \times (1.8 \times 10^{-3} m) / (4.8 m) = 6.25 \times 10^{-7} m = 625 nm.[/tex]

Therefore, the wavelength of the monochromatic light is 625 nm.

The air inside the building is easily pressed out the windows because the air is composed of widely spaced molecules in the _____ phase.

solid
liquid
gas
plasma

Answers

Hello!

The air inside the building is easily pressed out the windows because the air is composed of widely spaced molecules in the gas phase. 

The word "gas" was created by the Netherlandish scientist Jean Baptista van Helmont from the Latin word "chaos". The gas phase consists of molecules with high kinetic energy, that adopt the shape of the container and tend to expand.  The molecules are essentially free, and the gravitational pull on them is negligible. 

Have a nice day!

An element which has strong intermolecular forces is most likely to have
a. a boiling point below room temperature
b. a melting point below room temperature
c. a boiling point very close to its melting point
d. a very high melting point

Answers

an element like that would have have a molecular structure that has a high tolerance to heat, so the correct answer is D

According to the forces of attraction, an element which has strong inter molecular  forces is most likely to have a very high melting point.

What are forces of attraction?

Forces of attraction  is a force by which atoms in a molecule  combine. it is basically an attractive force in nature.  It can act between an ion  and an atom as well.It varies for different  states  of matter that is solids, liquids and gases.

The forces of attraction are maximum in solids as  the molecules present in solid are tightly held while it is minimum in gases  as the molecules are far apart . The forces of attraction in liquids is intermediate of solids and gases.

The physical properties such as melting point, boiling point, density  are all dependent on forces of attraction which exists in the substances.

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A culture is a group of people that share the same __________.
A. development goals
B. professions and work
C. beliefs and behaviors
D. philosophies and religion

Answers

The correct answer is:  [C]:  "beliefs and behaviors" .
_________________________________________________
   This would include "philosophies and religion" [which is "Choice: [D]" ) ;  however, "Choice : [C]:  "beliefs and behaviors" is the correct answer; since "Choice:  [C]"  is completer and more comprehensive.
__________________________________________________

The rock in the picture is pushed over the edge and it begins to falls. Which type of energy conversion is taking place?

Answers

gravitational potential to kinetic energy conversion.

Answer: Potential energy into kinetic energy.

Explanation: When the rock is in the edge, it is not actually moving, so it only has potential energy U = m*g*h (where m is the mass of the rock, g is the gravity's acceleration and h is the height at which the rock is, in this case, the height of the edge with respect to the ground).

Now, when the rock starts to fall, now the rock has velocity, so it has kinetic energy, which is written as K = (m/2)*v^2 where v is the velocity.

You can see that as the rock starts to fall, the height decreases, and also the potential energy. This is because the potential energy is being converted into kinetic energy, and this is why the velocity of the rock is increasing.

A soccer ball is kicked with an initial horizontal velocity of 17 m/s and an initial vertical velocity of 20 m/s. 1) what is the initial speed of the ball?

Answers

Final answer:

The initial speed of the soccer ball can be calculated using the Pythagorean theorem and is found to be approximately 26.24 meters per second.

Explanation:

The initial speed of a soccer ball that is kicked with an initial horizontal velocity of 17 m/s and an initial vertical velocity of 20 m/s can be calculated using the Pythagorean theorem. The theorem states that the square of the hypotenuse (the initial speed, in this case) is equal to the sum of the squares of the other two sides (the horizontal and vertical velocities).

To find the initial speed, we use the following equation: [tex]initial speed = \sqrt{(horizontal velocity)^2 } +\sqrt{(vertical velocity)^2[/tex]. Substituting the values, we get initial speed = [tex]\sqrt{(17 m/s)^2} + \sqrt{(20 m/s)^2}[/tex]

≈[tex]\sqrt{289 + 400} m^2/s^2[/tex] ≈ 26.24 m/s. Therefore, the initial speed of the ball is approximately 26.24 meters per second.

A mass m = 12 kg is pulled along a horizontal floor, with a coefficient of kinetic friction μk = 0.06, for a distance d = 7.8 m. then the mass is continued to be pulled up a frictionless incline that makes an angle θ = 25° with the horizontal. the entire time they massless rope used to pull the block is pulled parallel to the incline at an angle of θ = 25° (thus on the incline it is parallel to the surface) and has a tension t = 20 n. 1) what is the work done by tension before the block gets to the incline

Answers

The rope is doing work against friction. The equation for work done by a force is:

W = F×d

W is the work done.

F is the force.

d is the distance covered by the object subjected to the force.


The force of friction is calculated using the following equation:

F = μN

F is the frictional force.

μ is the coefficient of friction between the object and the contact surface.

N is the normal force exerted on the object by the contact surface.


In this situation the normal force is equal to the force of gravity on the object. The normal force is then:

N = mg

m is the mass of the object and g is the acceleration due to gravity of the Earth (9.81m/s²).


Combine all of these equations to get the total work done:

W = μ×m×g×d

Given values:

μ = 0.06

m = 12kg

g = 9.81m/s²

d = 7.8m

Substitute the terms in the equation with the given values and solve for W:

W = 0.06×12×9.81×7.8

W = 55.1J

Final answer:

The work done by tension on a 12 kg block being pulled along a horizontal floor with a coefficient of kinetic friction of 0.06 for a distance of 7.8 m is 156 joules.

Explanation:

To calculate the work done by tension before the block reaches the incline, we must consider the effects of kinetic friction. Since the rope is parallel to the incline and the force is constant, we can use the formula Work (W) = Force (F) * distance (d) * cos(\theta), where \(\theta\) is the angle between the force and displacement. In this case, the force is the tension in the rope and is parallel to the displacement, so \(\theta = 0 degrees\) and \(\cos(0) = 1\). The work done by tension can be calculated as:

\[W = T \times d \times \cos(0 degrees)\]

\[W = 20 N \times 7.8 m \times 1\]

\[W = 156 J\]

Therefore, the work done by tension on the block before it gets to the incline is 156 joules.

Only moving things have energy

Answers

Hello,

This statement is "false".

Reason:

Potential energy is energy that is stored therefore its objects that are not moving also meaning the answer is false.

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

As per the question only moving objects have energy.

The statement given here is not always true.

we know that every moving object has  kinetic energy.But in the universe there are other kinds of energy also.

We may take a simple  example of potential energy which is the energy possessed  by a body due to its configuration and position.

A stone present on the top of a mountain  has  zero kinetic energy but here the total mechanical energy is in the form of potential energy.

The electrostatic potential energy is not due to the motion of objects also.

There are also various other kinds of energy existing in the nature which are not  due to the motion of objects.

FILL IN TUE BLANK WITH ANSWER DOWN BELOW!!! When storm clouds produce lightning and thunder, 1)_________ energy changes to2)______ energy and 3)_______ energy

1) electric potential, gravitational potential, or sound?
2) Chemical, electric potential, or radiant?
3) Chemical, electric potential, or sound?

Answers

Electric potential, Chemical , sound

Answer:

1) electric potential, Radiant Energy(Lightening) , or sound Energy(Thundering)

Explanation:

During lightening we know that clouds are at high electric potential and earth surface is taken at low potential.

Due to this potential difference the charge particles in the atmosphere has tendency to move from high potential to low potential.

Also the moisture present and few dipole gases present in the atmosphere will have tendency to show breakdown and due to this breakdown and motion of charge the phenomenon of lightening occurs.

So here the electric potential energy of charge particles will change and it will convert into sound energy as it produce sound as well as in Radiant energy in form of lightening occurs in the sky.

Which of these was a characteristic of the Thomson model of the atom, but not the Dalton model?

negatively charged electrons
positive charge concentrated at the center of the atom
unequal positive and negative charges
indivisible atoms

Answers

The correct option is the first one, which is: Negatively charged electrons.

 J.J Thomson was British physicist who discovered the electron in 1897, by his experiment with "cathode ray tubes". For this work and contribution to science, he was awarded the Nobel Prize for physics in 1906.

Answer:

negatively charged electrons  

Explanation:

According to Dalton's Model, matter is made up of tiny particles known as atoms. Electrons were not known at that time. Thomson gave the plum pudding model which describe atom to be over all neutral with equal distribution of negatively charged electrons in the region of positive charges.

Thus, negatively charged electrons were a characteristic of the Thomson's model of the atom but not the Dalton's model.

A person pulls a toboggan for a distance of 37.9 m along the snow with a rope directed 32.8 ° above the snow. the tension in the rope is 105 n. (a) how much work is done on the toboggan by the tension force? (b) how much work is done if the same tension is directed parallel to the snow?

Answers

 a) Horizontal component of tension force = (cos 30) x 95, = 82.27N. 
Work = (82.27 x 20) = 1,645.4 joules. 
b) (20 x 95) = 1,900 joules.

The chart shows characteristics of stars. Sirius is a blue-white star with a surface temperature of about 9800 K. What is most likely the mass of Sirius? 1.0 solar mass 1.4 solar mass 2.0 solar mass 12 solar mass

Answers

Definition of luminosity is the total amount of energy emitted by the star per unit of time. We can use following formula to calculate the luminosity:
[tex]L=A\sigma T^4[/tex]
Where A is the surface area of the star.
We also have a very important mass-luminosity relationship:
[tex]\frac{L}{L_0}=(\frac{M}{M_0})^{3.5}[/tex]
This formula gives us relationship between stars mass and it's luminosity. [tex]L_0,M_0[/tex] stands for Sun's luminosity and mass.
We can rewrite the luminosity formula like this:
[tex]\frac{L}{\pi r^2}=\sigma T^4[/tex]
Now if we divide this by the Sun's luminosity we get:
[tex]\frac{L/L_0}{r^2/r_0^2}=(\frac{T}{T_0})^4\\ \frac{(M/M_0)^{3.5}}{M/M_0}=(\frac{T}{T_0})^4\\ (\frac{M}{M_0})^{2.5}=(\frac{T}{T_0})^4\\[/tex]
We can use this formula to estimate the mass. Surface temperature of the Sun is 5778 K.
[tex](\frac{M}{M_0})^{2.5}=(\frac{9800}{5778})^4\\ (\frac{M}{M_0})^{2.5}=8.275\\ \frac{M}{M_0}=2.328\\ M=2.328M_0[/tex]
The answer would be 2 solar masses.


Answer:

The answer would be 2 solar masses.

If an object is released in the shaft at the earth's surface, what speed will it have when it reaches the center of the earth?

Answers

The speed of an object when it reaches the center of the Earth depends on the conversion of gravitational potential energy into kinetic energy, and while exact calculation of this speed requires complex calculations considering Earth's non-uniform structure, it would be less than the Earth's escape velocity of approximately 11 km/s.

Speed of an Object Reaching the Center of the Earth

When an object is released in a shaft at the Earth's surface, to determine the speed it would have when it reaches the center, we must look at gravitational acceleration and potential energy. The acceleration due to gravity near the Earth's surface is 9.8 m/s². However, as the object falls towards the center, the gravitational force decreases because it is proportional to the distance from the center. By the time it reaches the center, the gravitational force is zero and the object would be in freefall.

Nevertheless, when an object initially falls from the surface it accelerates, gaining velocity until the gravitational force lessens. If the Earth were a uniform sphere, the problem could be simplified using the concept of simple harmonic motion where maximum speed would be reached at the center. For a non-uniform Earth, complex calculations involving Earth's density variation would be needed. Ignoring air resistance and Earth's rotation, an important value related to this concept is the escape velocity, which is about 11 km/s for Earth. This escape velocity gives us a frame of reference for the maximum potential speed that can be achieved by an object falling towards the center due to the conversation of potential energy into kinetic energy. In practical terms however, air resistance and the rotational speed of the Earth would affect the actual speed, making the calculation far more complex.

If we were to hypothesize, the object would convert gravitational potential energy into kinetic energy. Without precise calculations and factoring in Earth's interior structure, giving an exact velocity upon reaching the center is not straightforward. It is generally understood, however, that the speed would be significant, although less than the object's escape velocity.

Ignoring complicating factors, the speed of an object falling to the center of the Earth can be conceptualized like the parabolic velocity of 6.94 miles per second, adjusted for the varying gravitational pull as the object approaches the center. A detailed calculation would involve conservation of energy and Newton's law of gravitation.

To calculate the speed of an object as it reaches the center of the Earth after being released from the Earth's surface, we must consider the forces acting on the object. The acceleration due to gravity (9.8 m/s²) would act on the object as it falls. However, as the object moves closer to the center, the gravitational force acting on it decreases because the mass of the Earth underneath the object decreases. This means that the object will accelerate until it reaches the point where the gravitational forces from all parts of the Earth are equal.

Using the principle of conservation of energy, where potential energy is converted into kinetic energy, and assuming a uniform density of the Earth, one could calculate this speed; however, the exact calculation would require advanced knowledge of differential equations and concepts from Newton's law of gravitation.

It is crucial to note that this is a simplification, as several factors like the Earth's rotation, the changing density of Earth's layers, and air resistance are not considered here. If we ignore these factors and assume constant acceleration, an object starting from rest will be at its maximum velocity when it reaches the center. This velocity can be conceptualized similarly to the parabolic velocity of 6.94 miles per second, which represents the speed of an object affected only by Earth's gravitational pull from space without atmospheric resistance.

A 1 ev electron has a 10-4 "probability of tunneling through a" 2.0 ev "potential barrier. what is the probability of a" 1 ev "proton tunneling through the same barrier

Answers

if the object, ends up with a positive charge, then it is missing electrons. if it is missing electrons, then it must have been removed form the object during the rubbing process.

Select all 3 of the reactants (things needed) necessary for photosynthesis to occur. A. oxygen B. carbon dioxide C. sunlight D. water E. sugar (glucose)

Answers

The answers would be B. carbon dioxide, C. sunlight, and D. water!
Hope this helps!

Monochromatic light of a given wavelength is incident on a metal surface. however, no photoelectrons are emitted. if electrons are to be ejected from the surface, how should the incident light be adjusted? monochromatic light of a given wavelength is incident on a metal surface. however, no photoelectrons are emitted. if electrons are to be ejected from the surface, how should the incident light be adjusted? light of a longer wavelength should be used. light of a shorter wavelength should be used. the intensity of the light should be decreased. the intensity of the light should be increased.

Answers

if the object, ends up with a positive charge, then it is missing electrons. if it is missing electrons, then it must have been removed form the object during the rubbing process.

To eject electrons from a metal surface, monochromatic light of a shorter wavelength should be used, as this will increase the energy of photons to overcome the metal's work function.

When monochromatic light is incident on a metal surface and no photoelectrons are emitted, it indicates that the energy of the photons is not sufficient to overcome the work function of the metal. To eject electrons from the surface, one should use monochromatic light of a shorter wavelength. According to the photoelectric effect, there is a minimum frequency (threshold frequency) required for electrons to be emitted, and since frequency and wavelength are inversely related (the shorter the wavelength, the higher the frequency), a shorter wavelength would increase the energy of the photons. It is important to note that increasing the intensity of light only increases the number of electrons ejected but does not affect their kinetic energy or the threshold frequency.

A solid object heated to 120°C is placed inside a container of water at 33°C. What is the BEST explanation of the resulting change in temperature?
A) The temperature of both the water and solid will decrease.
B) The temperature of the solid will decrease and the water will decrease.
C) The temperature of the water will increase; the temperature of the solid will decrease.
D) The temperature of the water will remain constant; the temperature of the solid will decrease.

Answers

The correct answer is C) The temperature of the water will increase; the temperature of the solid will decrease.

In fact, the solid is at higher temperature, so when it is put inside the water it starts to release heat to the water. As a result, the temperature of the solid decreases, and since the heat is absorbed by the water, the temperature of the water increases. This process continues until the water and the solid reach thermal equilibrium (i.e. until they reach same temperature).

Answer:

its c

Explanation:

i took it

An ebonite (very hard, black rubber) rod is rubbed with the four different substances below. Choose the one that is MOST likely to produce the largest static charge by friction.

Answers

electrons form the atoms f one material may move to the atoms of the other material. The movement of electrons from one atom to another changes the charge of the atoms. When an atom loses electrons, it is left with more protons than electrons, so it then has a positive charge. when an atom gains electrons, it has more electrons than protons so its charge is negative.

What is the current when a typical static charge of 0.234~\mu\text{c}0.234 μc moves from your finger to a metal doorknob in 0.595~\mu\text{s}0.595 μs?

Answers

The current is defined as the quantity of charge Q that passes through a certain location in a time [tex]\Delta t[/tex]:
[tex]I= \frac{Q}{\Delta t} [/tex]
Using the data of the problem, we find:
[tex]I= \frac{Q}{\Delta t} = \frac{0.234 \mu C}{0.595 \mu s}=\frac{0.234\cdot 10^{-6} C}{0.595 \cdot 10^{-6} s}=0.39 A [/tex]

what best describes a lens galaxy

a. a group if stars that serve as a quick reference to different parts of the sky

b. several Billion Stars arranged in a disk shape that has uneven edges

c. millions of planets are arranged in the shape of a disc with spiraling arms

D. billions of stars arranged in the circular pattern with a flattened core

Answers

the answer would be D

Answer:

D. billions of stars arranged in the circular pattern with a flattened core

Explanation:

Which image editing technique allows you to reverse an image (horizontally or vertically)?

cropping

rotating

resizing

flipping

Answers

Answer:

Flipping

Explanation:

The flip tool reverses an image on the horizontal or vertical axis.

The image editing technique that allows you to reverse an image (horizontally or vertically) is known as flipping. Thus, the correct option for this question is D.

What do you mean by image editing technique?

Image editing technique may be defined as a type of technique that modifies or improves digital or traditional photographic images using different techniques, tools or software. Images produced by scanners, digital cameras, or other image-capturing devices may be good, but not perfect.

It encompasses the processes of altering images, whether they are digital photographs, traditional photo-chemical photographs, or illustrations. Some basic image editing process is as follows:

Crop your images and clean them up.Adjust the white balance.Adjust exposure and contrast.Adjust color vibrancy and saturation.Sharpen images.Finalize and share.

Therefore, the image editing technique that allows you to reverse an image (horizontally or vertically) is known as flipping. Thus, the correct option for this question is D.

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What marine life zones are warm well lit and have lots of marine life

Answers

The answer is Oceanic and neritic.

The marine life zones that are warm, well-lit, and have an abundance of marine life are known as the photic zone of the ocean. This zone includes both the Sunlight Zone and the Twilight Zone, which extends to a depth of about 200 meters below the sea surface. The photic zone is characterized by sufficient sunlight to support photosynthesis, which enables the growth of phytoplankton, the primary producers in marine ecosystems. Consequently, this zone supports a diverse array of marine life.

The photic zone is the uppermost layer of the marine biome where sunlight penetrates and enables photosynthesis. Phytoplankton, tiny photosynthetic organisms, form the base of the marine food web in this area, supporting a complex and diverse ecosystem. Other marine organisms, such as fish, marine mammals, and various invertebrates, depend on the photic zone directly or indirectly for sustenance. The availability of sunlight, warmth, and nutrients makes this zone the most lively and productive part of the ocean, contrasting with the aphotic zone, where the lack of light limits life. The health of the photic zone is vital for marine biodiversity and for global ecological processes such as oxygen production and carbon dioxide absorption.

A 1.10 kg block is attached to a spring with spring constant 13.5 n/m . while the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 36.0 cm/s . what are

Answers

The amplitude of the block's oscillation is 0.103 A.

The speed of the block at the given position is 0.34 m/s.

How to calculate the amplitude of the oscillation?

The amplitude of the block's oscillation is calculated by applying the principle of conservation of energy as follows.

K.E = U

¹/₂mv² = ¹/₂kA²

mv² = kA²

A² = mv²/k

A = √ (mv² / k)

where;

m is the massv is the speedk is spring constant

A = √ (1.1 x 0.36² / 13.5)

A = 0.103 A

The speed of the block at the given position is calculated as follows;

¹/₂kA² = ¹/₂mv² + ¹/₂kx²

kA² = mv² + kx²

mv² = kA² - kx²

v² = (kA² - kx²) / m

v = √ (13.5 x 0.103²  -  13.5(0.3 x 0.103)² ) / 1.1

v = 0.34 m/s

The complete question is below:

A 1.10 kg block is attached to a spring with spring constant 13.5 n/m . while the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 36.0 cm/s .

What are the amplitude of the subsequent oscillations and the block's speed at the point where x = 0.3 A?

According to Newton's second law of motion, force can be calculated by multiplying an object's mass by its acceleration. If weight is a measure of an object's force due to gravity, what is the weight of a student who has a mass of 65 kg? (Assume that the acceleration due to gravity equals 9.8 m/s2.)

Answers

You would do m*a so 65kg * 9.8 m/s^2 which equates to 637 Newton’s

Final answer:

The weight of a student with a mass of 65 kg on Earth is 637 N (newtons).

Explanation:

According to Newton's second law of motion, force (F) is the product of an object's mass (m) and its acceleration (a). The formula for this relationship is F = ma. When talking about weight, we refer to the force of gravity acting on an object's mass. The acceleration due to gravity (g) on Earth is approximately 9.8 m/s2. Therefore, to calculate the weight of an object on Earth, we use the aforementioned relationship but with g as the acceleration, leading to W = mg. Substituting the given mass (65 kg) and the acceleration due to gravity, we get W = 65 kg × 9.8 m/s2 = 637 N, which is the student's weight on Earth.

The allowed energies of a quantum system are 1.0 ev, 2.0 ev, 4.0 ev, and 7.0 ev. what wavelengths appear in the system's emission spectrum

Answers

if the object, ends up with a positive charge, then it is missing electrons. if it is missing electrons, then it must have been removed form the object during the rubbing process.

The possible wavelengths that appear in the emission spectrum of the system are [tex]\boxed{210\,{\text{nm,}}\,{\text{250}}\,{\text{nm,}}\,{\text{410}}\,{\text{nm,}}\,{\text{620}}\,{\text{nm,}}\,{\text{1200}}\,{\text{nm}}}[/tex] .

Further Explanation:

Given:

The quantum energy levels allowed in the system are:

[tex]\begin{aligned}{E_1}&=1.0\,{\text{eV}}\hfill\\{E_2}&=2.0\,{\text{eV}}\hfill\\{E_3}&=4.0\,{\text{eV}}\hfill\\{E_4}&=7.0\,{\text{eV}}\hfill\\\end{aligned}[/tex]

Concept:

As the transition of electron takes from one energy level to another, there is an emission of particular wavelength from the transition. The relation between the wavelength of the emission and the energy of the energy level is expressed as:

[tex]\boxed{{E_f}-{E_i}=\frac{{hc}}{\lambda }}[/tex]

Here, [tex]{E_f}[/tex]  is the final energy level, [tex]{E_i}[/tex]  is the initial energy level and [tex]\lambda[/tex]  is the wavelength of emission.

(1). Transition of electron from [tex]{E_1}[/tex]  to [tex]{E_2}[/tex]  energy level:

[tex]\begin{aligned}{E_2}-{E_1}&=\frac{{hc}}{\lambda }\\\lambda &=\frac{{\left({6.63\times{{10}^{-34}}}\right)\times\left({3\times{{10}^8}}\right)}}{{\left({2-1}\right)\left({1.6\times{{10}^{-19}}}\right)}}\,{\text{m}}\\&{\text{=1}}{\text{.244}}\times{\text{1}}{{\text{0}}^{-6}}\,{\text{m}}\\&\approx{\text{1200}}\,{\text{nm}}\\\end{aligned}[/tex]

(2). Transition of electron from [tex]{E_1}[/tex]  to [tex]{E_3}[/tex]  energy level:

[tex]\begin{aligned}{E_3} - {E_1}&=\frac{{hc}}{\lambda }\\\lambda &=\frac{{\left({6.63\times{{10}^{-34}}}\right)\times\left({3\times{{10}^8}}\right)}}{{\left({4-1}\right)\left({1.6\times{{10}^{-19}}}\right)}}\,{\text{m}}\\&{\text{=0}}{\text{.414}}\times{\text{1}}{{\text{0}}^{-6}}\,{\text{m}}\\&\approx410\,{\text{nm}}\\\end{aligned}[/tex]

(3). Transition of electron from [tex]{E_1}[/tex]  to [tex]{E_4}[/tex]  energy level:

[tex]\begin{aligned}{E_4} - {E_1}&=\frac{{hc}}{\lambda }\\\lambda &=\frac{{\left({6.63\times{{10}^{-34}}}\right)\times\left({3\times{{10}^8}}\right)}}{{\left({7-1}\right)\left({1.6\times{{10}^{-19}}}\right)}}\,{\text{m}}\\&{\text{=0}}{\text{.207}}\times{\text{1}}{{\text{0}}^{-6}}\,{\text{m}}\\&\approx210\,{\text{nm}}\\\end{aligned}[/tex]

(4). Transition of electron from [tex]{E_2}[/tex]  to [tex]{E_3}[/tex]  energy level:

[tex]\begin{aligned}{E_3} - {E_2}&=\frac{{hc}}{\lambda }\\\lambda &=\frac{{\left({6.63\times{{10}^{-34}}}\right)\times\left({3\times{{10}^8}}\right)}}{{\left({4-2}\right)\left({1.6\times{{10}^{-19}}}\right)}}\,{\text{m}}\\&{\text{=0}}{\text{.621}}\times{\text{1}}{{\text{0}}^{-6}}\,{\text{m}}\\&\approx620\,{\text{nm}}\\\end{aligned}[/tex]

(5). Transition of electron from [tex]{E_2}[/tex]  to  [tex]{E_4}[/tex] energy level:

[tex]\begin{aligned}{E_4} - {E_2}&=\frac{{hc}}{\lambda }\\\lambda &=\frac{{\left({6.63\times{{10}^{-34}}}\right)\times\left({3\times{{10}^8}}\right)}}{{\left({7-2}\right)\left({1.6\times{{10}^{-19}}}\right)}}\,{\text{m}}\\&{\text{=0}}{\text{.248}}\times{\text{1}}{{\text{0}}^{-6}}\,{\text{m}}\\&\approx250\,{\text{nm}}\\\end{aligned}[/tex]

(6). Transition of electron from  [tex]{E_3}[/tex] to  [tex]{E_4}[/tex] energy level:

[tex]\begin{aligned}{E_4} - {E_3}&=\frac{{hc}}{\lambda }\\\lambda &=\frac{{\left({6.63\times{{10}^{-34}}}\right)\times\left({3\times{{10}^8}}\right)}}{{\left({7-4}\right)\left({1.6\times{{10}^{-19}}}\right)}}\,{\text{m}}\\&{\text{=0}}{\text{.414}}\times{\text{1}}{{\text{0}}^{-6}}\,{\text{m}}\\&\approx410\,{\text{nm}}\\\end{aligned}[/tex]

Thus, The possible wavelengths that appear in the emission spectrum of the system are [tex]\boxed{210\,{\text{nm,}}\,{\text{250}}\,{\text{nm,}}\,{\text{410}}\,{\text{nm,}}\,{\text{620}}\,{\text{nm,}}\,{\text{1200}}\,{\text{nm}}}[/tex] .

Learn More:

1. Calculate the wavelength of an electron (m = 9.11 × 10-28 g) moving at 3.66 × 106 m/s https://brainly.com/question/1979815

2. Microwave ovens emit microwave energy with a wavelength of 12.5 cm. What is the energy of exactly one photon of this microwave radiation https://brainly.com/question/2385939

3. What is the frequency of light for which the wavelength is 7.1 × 102 nm https://brainly.com/question/9559140

Answer Details:

Grade: College

Subject: Physics

Chapter: Modern Physics

Keywords:

Allowed energies, quantum system, energy levels, wavelengths appear, emission spectrum, 1.0eV, 2.0eV, 4.0eV, 7.0eV, transition of electrons.

Burning magnesium gives us magnesium oxide. This is a example of

Answers

radioactive movement

combustion and oxygen 

An object that has a small mass and an object that has a large mass have the same momentum. which object has the largest kinetic energy?

Answers

Final answer:

When two objects have the same momentum, the one with the smaller mass will have larger kinetic energy, because it must have a higher velocity. Conversely, if they have the same kinetic energy, the object with larger mass will have a higher momentum due to its larger mass.

Explanation:

Understanding Momentum and Kinetic Energy.When considering two objects, one with a small mass and another with a large mass, that both have the same momentum, it's important to understand the relationship between momentum (p), mass (m), and velocity (v). Momentum is calculated as the product of mass and velocity (p = mv). To have the same momentum, a small mass must move with a larger velocity compared to a large mass.

When comparing kinetic energy (K), which is given by the formula K = (1/2)mv², the object with the smaller mass but higher velocity will have a larger kinetic energy. This is because kinetic energy is proportional to the square of velocity, and since the smaller mass has a higher velocity to maintain the same momentum, its kinetic energy will be greater. If the scenario is reversed and two objects have the same kinetic energy, then the large mass object must have a larger momentum. Since kinetic energy is the same, the larger mass object compensates for its lower velocity with its greater mass, leading to a greater momentum (p = mv).

The gauge pressure for the air in a balloon equals 1.01 x 10^5 Pa. If atmospheric pressure is equal to 1.01 x 10^5 Pa, what is the absolute pressure of the air inside the balloon?

a.

0 Pa

b.

5.05 x 10^4 Pa


c.

1.01 x 10^5 Pa

d.

2.02 x 10^5 Pa

Answers

Absolute Pressure = Atmospheric Pressure + Gage Pressure

Absolute Pressure = 1.01 x 10^5 Pa + 1.01 x 10^5 Pa = D. 2.02 x 10^5 Pa
Answer:

D.        2.02 x [tex]10^{5}[/tex] Pa

Explanation:

The gauge pressure is the pressure measured relative to the atmospheric pressure.

Absolute pressure (or total pressure), is the sum of the gauge pressure and the atmospheric pressure. i.e

[tex]P_{ABS}[/tex] = [tex]P_{G}[/tex] + [tex]P_{ATM}[/tex]

Where;

[tex]P_{ABS}[/tex] = absolute pressure

[tex]P_{G}[/tex] = gauge pressure = 1.01 x [tex]10^{5}[/tex]Pa  (from the question)

[tex]P_{ATM}[/tex] =  atmospheric pressure = 1.01 x [tex]10^{5}[/tex]Pa

Substitute these values into the equation above;

[tex]P_{ABS}[/tex] = [tex]P_{G}[/tex] + [tex]P_{ATM}[/tex]

[tex]P_{ABS}[/tex] = 1.01 x [tex]10^{5}[/tex] + 1.01 x [tex]10^{5}[/tex]

[tex]P_{ABS}[/tex] = 2.02 x [tex]10^{5}[/tex] Pa

Therefore, the absolute pressure of the air inside the balloon is 2.02 x [tex]10^{5}[/tex] Pa

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