A basic physics question, №18011285, 29.05.2023 18:16

Physics

I shared a picture of the problem. It’s a basic Physics question and an Algebra question.

Step-by-step answer

P Answered by Specialist

Hence the expression of ω in terms of m and k is

$\omega = \sqrt{\frac{k}{m}$

Given the expressions;

$T_s = 2 \pi \sqrt{\frac{m}{k} } \ and \ T_s = \frac{2 \pi}{\omega}$

Equating both expressions we will have;

$2 \pi \sqrt{\frac{m}{k} } = \frac{2 \pi}{\omega}$

Divide both equations by 2π

$\frac{2 \pi\sqrt{\frac{m}{2 \pi} } }{2 \pi}=\frac{\frac{2 \pi}{\omega} }{2\pi}\\\sqrt{\frac{m}{2 \pi} } = \frac{1}{\omega}\\$

Square both sides

$(\sqrt{\frac{m}{k} } )^2 = (\frac{1}{\omega} )^2\\\frac{m}{k} = \frac{1}{\omega ^2} \\\omega ^2 = \frac{k}{m}$

Take the square root of both sides

$\sqrt{\omega ^2} =\sqrt{\frac{k}{m} } \\\omega = \sqrt{\frac{k}{m}$

Hence the expression of ω in terms of m and k is

$\omega = \sqrt{\frac{k}{m}$

Learn more about subject of the formula here:

Physics

I shared a picture of the problem. It’s a basic Physics question and an Algebra question.

Step-by-step answer

P Answered by Specialist

Hence the expression of ω in terms of m and k is

$\omega = \sqrt{\frac{k}{m}$

Given the expressions;

$T_s = 2 \pi \sqrt{\frac{m}{k} } \ and \ T_s = \frac{2 \pi}{\omega}$

Equating both expressions we will have;

$2 \pi \sqrt{\frac{m}{k} } = \frac{2 \pi}{\omega}$

Divide both equations by 2π

$\frac{2 \pi\sqrt{\frac{m}{2 \pi} } }{2 \pi}=\frac{\frac{2 \pi}{\omega} }{2\pi}\\\sqrt{\frac{m}{2 \pi} } = \frac{1}{\omega}\\$

Square both sides

$(\sqrt{\frac{m}{k} } )^2 = (\frac{1}{\omega} )^2\\\frac{m}{k} = \frac{1}{\omega ^2} \\\omega ^2 = \frac{k}{m}$

Take the square root of both sides

$\sqrt{\omega ^2} =\sqrt{\frac{k}{m} } \\\omega = \sqrt{\frac{k}{m}$

Hence the expression of ω in terms of m and k is

$\omega = \sqrt{\frac{k}{m}$

Learn more about subject of the formula here:

Physics

A basic physics question

Step-by-step answer

P Answered by Specialist

1)

No,kinetic energy cannot be negative since its given by KE=mv²,mass cannot be negative and the square of speed cannot b negative.

2)

Yes,any force opposing motion or displacement does negative work. They are often referred to as resistive forces (friction,air resistance,drag...)

3)

Nope it does not, it just forces the object to move in a circular path known as a centripetal force. It can accelerate an object by changing it's direction but not it's speed.

4)

No it cannot,If an object is sliding on the table (assuming it is not an incline), then most probably that normal force cancels out the weights effect or assuming there is an incline, it cancels the weight's y component.

5)

$w = f.d.cos \alpha = f.d.cos90 = 0$

The work done is zero

6)

$w = f.d.cos \theta = f.d.cos0 = f.d$

The work is just the product of the magnitude of the force exerted and the displacement of the object.

7)

$0 < \theta < 90 \\ 1 < cos \theta < 0$

Work is decreasing but positive8)

$\theta = 90 \\ cos \theta = cos90 = 0$

Work is zero9)

$90 < \theta < 180 \\ 0 < cos \theta < - 1$

Work is negative

Advanced Placement (AP)

Free response questions 1. This question is a long free-response question. Show your work for each part of the question. A company selling a type of spring makes the following claim: The elastic potential energy that the spring is capable of storing for a given compression distance does not decrease, even after the spring compresses and/or stretches hundreds of times. The students in a physics class have decided to test the company s claim (a) [1] i. State a basic physics principle or law the students could use in designing an experiment to test

Step-by-step answer

P Answered by Specialist

2

0.42 J

Explanation:

The elastic potential energy of a spring is given by:

$U=\frac{1}{2}kx^2$ (1)

where

k is the spring constant

x is the compression/stretching of the spring

In order to find the elastic potential energy, we must find the spring constant first. We know by Hook's law that the force compressing the spring is:

F=kx

Re-arranging the equation and substituting F=12.0 N and x=0.070 m, we find:

$k=\frac{F}{x}=\frac{12.0 N}{0.070 m}=171.4 N/m$

And now we can use eq.(1) to calculate the elastic potential energy:

$U=\frac{1}{2}(171.4 N/m)(0.070 m)^2=0.42 J$

Advanced Placement (AP)

Free response questions 1. This question is a long free-response question. Show your work for each part of the question. A company selling a type of spring makes the following claim: The elastic potential energy that the spring is capable of storing for a given compression distance does not decrease, even after the spring compresses and/or stretches hundreds of times. The students in a physics class have decided to test the company s claim (a) [1] i. State a basic physics principle or law the students could use in designing an experiment to test

Step-by-step answer

P Answered by Specialist

2

0.42 J

Explanation:

The elastic potential energy of a spring is given by:

$U=\frac{1}{2}kx^2$ (1)

where

k is the spring constant

x is the compression/stretching of the spring

In order to find the elastic potential energy, we must find the spring constant first. We know by Hook's law that the force compressing the spring is:

F=kx

Re-arranging the equation and substituting F=12.0 N and x=0.070 m, we find:

$k=\frac{F}{x}=\frac{12.0 N}{0.070 m}=171.4 N/m$

And now we can use eq.(1) to calculate the elastic potential energy:

$U=\frac{1}{2}(171.4 N/m)(0.070 m)^2=0.42 J$

Physics

Question 1 This question is a long free-response question. Show your work for each part of the question. In a physics lab, a group of students are provided with a sphere of unknown mass, a roll of string, a ring stand, and measuring devices that are commonly found in a physics lab. The students must graphically determine the acceleration due to gravity near Earth’s surface by putting the sphere into simple harmonic motion. (a) State a basic physics principle, law, or equation that the students could use to graphically determine the acceleration

Step-by-step answer

P Answered by Master

58

1) g = 4π² / m, 3) xaxis the length of the pendulums and the y axis the period squared

Explanation:

a) students can approximate this system to a simple pendulum, in this case the angular velocity is

w = √ g / l

angular velocity, frequency and period are related

w = 2π f = 2π / T

we substitute

T = 2π√ l / g

with this equation they can determine the value of the acceleration of gravity, for this they measure the period for various lengths of the pendulum and graph

T² = 4π² l / g

We graph T² vs l

where this is the equation of a line if the independent variable is y = T² and x = l

y = (4π² / g) l

so the slope is

m = 4π² / g

clearing

g = 4π² / m

where the slope can be found with the values of the line not the experimental values.

2) to carry out the experiment, or the thread is attached to the sphere, the length of the pendulum that goes from the pivot point to the center of the sphere is measured with a tape measure and a small finished angle is turned or less than 10th is released, it is good to wait for the first oscillation to walk, the time of a determined number of oscillations is generally measured 10 or 20, the period is calculated

T = t / n

a table of T² against the length is made and it is plotted with the length in the ax ax, we look for the slope and hence the acceleration of gravity

3) on the independent x-axis, the controlled variable must be plotted, which is the length of the pendulums, and on the y-axis, the dependent variable is the period squared

4) of the equation of the line

m = 4pi2 / g

where it ends up reaching the floor

g = 4pi2 / m

5) when the spring is cut, the sphere remains under the effect of gravity acceleration, the harmonic movement disappears and the sphere is in a vertical movement

Biology

Which example is NOT an organism? Question 1 options: lung mold human bacteria Question 2 (3 points) All living things are made of . Question 2 options: multicellular organisms cells tissues Question 3 (3 points) To function on their own, what must unicellular organisms do? Question 3 options: make tissues work with other cells do all jobs for survival perform a specialized task Question 4 (3 points) Which type of organism is ale to cause an infection or contagious disease? Question 4 options: animal plant bacteria rose Question 5 (3 points) A

Step-by-step answer

P Answered by PhD

2

1. lung.

2. cells.

3. do all jobs for survival.

4. bacteria.

5. producing offspring.

6. Taxonomy.

7. a cell dividing.

8. obtain energy, produce offspring, and maintain their structure.

9. soil.

10. food, water, air, and a place to live.

Explanation:

1. all of the other options are organisms, while a lung is an organ.

2. All living things are made of cells

3. All unicellular organisms must be able to perform all the functions necessary for life. Meaning do all the jobs needed for survival.

4. Bacteria is the organism listed that is able to cause an infection or contagious disease.

5. A fish laying hundreds of eggs is an example of producing offspring. While it could also be an example of maintaining structure, a fish cannot obtain energy by laying eggs. So, the best answer is producing offspring.

6. Taxonomy's definition is the branch of science concerned with classification, especially of organisms; systematics.

7. a cell dividing is maintaining structure. After growth, cell division by mitosis allows for continual construction and repair of the organism. The primary concern of cell division is the maintenance of the original cell's genome. So, this is the best option for the question.

8. The second option is wrong, because not every organism plays video games. The 4th option is wrong, because not every organism builds their own home. And finally, the first option is incorrect, because plants do not physically eat they obtain their energy through photosynthesis. So, the correct option is the 3rd one.

9. Soil is not needed for all living organisms, but the other options listed are necessary.

10. the second and third option are incorrect, because not every living thing needs a parent. The first option is incorrect, because not every living thing needs sunshine and it does not list the other necessary components. So, the correct answer is the last option. And a place to live can also mean an appropriate environment.