A simple pendulum is made of a small blob of mass m=7.000 kg attached to the end of an inextensible wire. The angular amplitude of oscillation is θ=5.730°. Consider that the gravitational acceleration is g=9.807 m/[tex]s^{2}[/tex]. What is the magnitude of the tension in the wire when the blob is directly below its point of support?

Answers

Answer 1

Answer:

The tension must be equal to the weight of the bob plus the centripetal force that is provided at eth end of the motion.

h = L (1 - cos theta)  where h is the height to which the bob is raised

cos 5.730 = .995

h = .005 L

Also    1/2 m v^2 = m g h    speed of the bob at the bottom

v^2 = 2 g h = .01 g L    where 2 h = .01 L

v^2 / L = .01 g

m v^2 / L = .010 g m = .07 g    since m = 7

Total tension = m g (1 + .07) = 1.07 m g

T = 9.807 * 1.07 * 7 = 73.45 kg m / s^2


Related Questions

Un rió de 89 m de ancho fluye agua con una velocidad de 4.0 m/s hacia el este . Si el bote tiene una velocidad de 8 m/s con relación al agua.
Que distancia rio abajo se desplaza el bote al cruzar el rió.

Answers

6

Explanation:

yhhhunkmombfdcgjjyvunkkbdsfgbjjj

La distancia que el bote se desplaza rio abajo es 44.5 metros.

¿Que distancia rio abajo se desplaza el bote?

Debemos recordar que la velocidad en cada eje es independiente de la velocidad en el otro eje. Tambien recordar que:

distancia = velocidad*tiempo.

Esto quiere decir que si el bote se mueve a 8m/s de un extremo al otro del rio, esta velocidad en esta dirección se va a mantener.

Entonces el tiempo que tarda en viajar 89 metros (el ancho del rio) a una velocidad de 8m/s es:

T = (89 m)/(8m/s) = 11.125 segundos.

Ahora notamos que durante esos 11.125 segundos el bote tambien se mueve siguiendo el flujo del rio, a una velocidad de 4.0 m/s, entonces la distancia que el bote se desplaza rio abajo es:

D = 11.125s*4.0m/s = 44.5 metros

Sí quieres aprender mas sobre velocidad, puedes leer:

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All ball is thrown up with a vertical velocity of 54 m/s and a horizontal velocity of 39 m/s. Calculate how many seconds it will take for it to reach its peak (assume no air resistance). (Answer to two decimal places).

Answers

5.5 s

Explanation:

The time it takes for the ball to reach its maximum height can be calculated using

[tex]v_y = v_{0y} - gt \Rightarrow t = \dfrac{v_{0y}}{g}[/tex]

since [tex]v_y = 0[/tex] at the top of its trajectory. Plugging in the numbers,

[tex]t = \dfrac{(54\:\text{m/s})}{(9.8\:\text{m/s}^2)} = 5.5\:\text{s}[/tex]

You skip north for 12 minutes to your best friend's house that is 1.5 kilometers away. What is your average velocity?

Answers

Answer:

velocity 2.0 updated sa showbizz happening


A student wants to conduct an experiment to determine the rate at which windows transfer energy to the outside air in the winter. The student investigates windows that are made from two parallel
pieces of class with a space in between as shown in the figure. The student decides to investigate how the spacing between the pieces of glass affects the transfer of energy. Which additional
criteria should the student use when selecting windows for the experiment? Select two answers.

A
Select Windows with different areas

B
Select Windows with the space between the pieces of glass filled with different gases

C
Select windows with pieces of glass made from the same type of glass.

D
Select windows with pieces of glass made from the same thickness of glass,

Answers

The characteristics of thermal conductivity and thermal insulation allow finding the correct answers for the window length study experiment to be correct are:

      C.  Select windows with pieces of glass made from the same type of glass.

      D.  Select windows with pieces of glass made from the same thickness of glass,

Thermal transfer processes are determined by the characteristics of the materials and their way of construction, but all of them can be described by the expression.

                [tex]P = \frac{A}{R} \Delta T[/tex]  

                [tex]R = \frac{L}{k}[/tex]  

where P is the heat flux, A the area of ​​the windows, ΔT the variation in temperature, R is the insulating value of the material, L is the length of the compound and k the thermal conductivity.

Let's examine the criteria that the student must have for the experiment to be repetitive and to be able to compare the results, let's examine the different responses:

A) False. The flow is proportional to the area, so to be able to compare the results, all the windows must have the same area.

B) False. This possibility is interesting, but it is difficult to maintain the different atmosphere besides being expensive, gases in normal conditions have very similar properties.

C) True. The thermal conductivity of different glasses changes a lot, so there should not be different glass in the windows.

D) True. The constant R is proportional to the thickness of the glass, so it is essential that all windows have the same thickness glass.

In conclusion, using the characteristics of thermal conductivity and thermal insulation, we can find that the correct answers for the window length study experiment to be correct are:

     C.  Select windows with pieces of glass made from the same type of glass.

      D.  Select windows with pieces of glass made from the same thickness of glass,

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Show all steps.
1.A cue ball (mass = 0.165 kg) is at rest on a frictionless pool table. The ball is hit dead center by a pool
stick, which applies an impulse of + 1.50 Ns to the ball. The ball then slides along the table and makes
an elastic head-on collision with a second ball of equal mass that is initially at rest. Find the velocity of
the second ball just after it is struck

Answers

Answer:

Steps and solution in the attached pictureSteps and solution in the attached picture.

Explanation:

Steps and solution in the attached pictureSteps and solution in the attached picture.

The velocity of the second ball just after it is struck will be 9.091 m/s.

What is an impulse?

To quantify the effect of force acting over time to change the momentum of an object is referred to as impulse.

To calculate the velocity in the given scenario,

Given that,

mV=1.5

[tex]V=\frac{impulse}{mass}[/tex]

[tex]V=\frac{1.5}{0.165}[/tex]

V=9.091 m/s

Thus, the velocity will be 9.091 m/s.

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how is 1 hectoliter diffrent from 1 kiloliter

Answers

The difference between a kiloliter and hectoliter is kiloliter smaller than a hectoliter

Logical thought is based on ____________, while creative problem solving uses ___________.

A.
insight; algorithms

B.
divergent thinking; convergent thinking

C.
convergent thinking; divergent thinking

D.
functional fixedness; mental sets

Answers

Answer:

D. and A

Explanation:

logical thought is base on functional fixedness; mental sets while creative problem solving uses insight; algorithms.

a force is represented by a ____ the choice of a ____ is necessary​

Answers

Answer:

a force is represented by a vector the choice of a reference frame is necessary​

Explanation:

a body of mass x is raised to a height of 2m above the ground what it's potential energy if the body is allowed to fall what is it's kinetic energy when half way down​

Answers

Answer:

hey i dont know what it is

Explanation:

New metals like bohrium our blank or made by people

Answers

I don’t have an answer to that

Вариант 3.

1. Можно ли считать Землю материальной точкой при определении длины экватора Земли? Ответ поясните

Answers

Answer:

Для ответа на этот вопрос нужно открыть терадочку в том месте, где ты записывала определение материальной точки. На случай, если ты этот момент успешно проспала (что не стало бы сюрпризом), поясню - материальной точкой можно считать тело, размерами которого можно пренебречь. А теперь скажи мне, как можно измерить размер, которым пренебрегаешь?

Mass movements occur on slopes because of the pull of gravity.

a. True
b. False

Answers

Answer:

true

Explanation:

Dato
F=0.0000001245066 N

Answers

Answer:

hpqfie

Explanation:

wdq i love math WOOOOO

The lantern rises due to a change in the _________
the system

A. Average kinetic energy of

B. Matter around

C. State of matter of

D. Size of particles in

Answers

Answer:

I think it A. Average kinetic energy of

Explanation:

In solids, the molecules are very close together and the attraction between the molecules are great. This causes a substance to have a structure in which the molecules have little freedom to move, as you would see in the case of ice. In the case of a liquid, the molecules are closely spaced, though not as closely spaced as a solid, they have more freedom to move and the intermolecular forces are weaker that that of a solid. Thus a liquid can flow, unlike a solid. Now in a gas, the molecules are sufficiently far apart that there are little to no attractive forces. Because of this a gas can easily be compressed and take the shape of the container.

Now as you heat a solid turning it into a liquid, you increase the kinetic energy of its molecules, moving them further apart until the forces of attraction are reduced to allow it to flow freely. Keep in mind the forces of attraction still exists. Now as you heat a liquid, turning it into a gas, the kinetic energy of the molecules are increased to a point where there are no forces of attraction between the molecules.

The energy required to completely separate the molecules, moving from liquid to gas, is much greater than if you were just to reduce their separation, solid to liquid. Hence the reason why the latent heat of vapourization is greater that the latent heat of fusion.

It’s A. Average kinetic energy of

The electric force due to a uniform external electric field causes a torque of magnitude 20.0 × 10−9 N⋅m on an electric dipole oriented at 30∘ from the direction of the external field. The dipole moment of the dipole is 9.0 × 10−12 C⋅m.

What is the magnitude of the external electric field?

If the two particles that make up the dipole are 2.5 mm apart, what is the magnitude of the charge on each particle?

Answers

[tex]\bull\sf Torque=\tau=20.0\times 10^{-9}Nm[/tex]

[tex]\bull\sf \theta=30°[/tex]

[tex]\bull\sf E=9.0\times C.m=9.0\times 10^{-12}N/C[/tex]

Now we know

[tex]\\ \sf\longmapsto \tau=pEsin\theta[/tex]

[tex]\\ \sf\longmapsto p=\dfrac{\tau}{Esin\theta}[/tex]

[tex]\\ \sf\longmapsto p=\dfrac{20\times 10^{-9}}{9\times 10^{-12}\times sin30}[/tex]

[tex]\\ \sf\longmapsto p=\dfrac{20\times 10^{-9}}{9\times 10^{-12}\times \dfrac{1}{2}}[/tex]

[tex]\\ \sf\longmapsto p=\dfrac{20\times 10^{-9}}{9\times 10^{-12}}\times 2[/tex]

[tex]\\ \sf\longmapsto p=4.4\times 10^3N/C[/tex]

The magnitude of the externla electric field is 4,444.44 N/C.

The magnitude of the charge is 3.1 x 10⁻¹² C.

Magnitude of the external electric field

The magnitude of the externla electric field is calculated as follows;

EPsinθ = τ

where;

E is the external electric fieldP is dipole momentτ is torque

[tex]E = \frac{\tau}{P sin(\theta)} \\\\E = \frac{20 \times 10^{-9}}{9\times 10^{-12} \times sin(30)} \\\\E = 4,444.44 \ N/C[/tex]

Magnitude of the charge

The magnitude of the charge is calculated as follows;

[tex]E = \frac{kQ}{r^2} \\\\Q = \frac{Er^2}{k} \\\\Q = \frac{(4,444.44) \times (2.5 \times 10^{-3})^2}{(9\times 10^9)} \\\\Q = 3.1 \times 10^{-12} \ C[/tex]

Learn more about electric field here: https://brainly.com/question/14372859

what is the radiation?​

Answers

Radiation is energy that comes from a source and travels through space at the speed of light. This energy has an electric field and a magnetic field associated with it, and has wave-like properties. You could also call radiation “electromagnetic waves”.

Answer:

Radiation is the transfer of energy through waves (electromagnetic radiation) or fast traveling particles (particulate radiation). Radiation can be in the form of heat, sound and light. Radiation can be felt or seen like light or detected through special instruments like X-ray. Radiation from a hot object is shorter..

Explanation:

có một hiệu điện thế đặt vào ba điện trở mắc nối tiếp nhau R1, R2, R3. Nếu R1 < R2 < R3 thì điện trở nào chịu hiệu điện thế lớn nhất ? Điện trở nào chịu hiệu điện thế nhỏ nhất ?

Answers

Answer:

There is a potential difference applied to three resistors connected in series R1, R2, R3. If R1 < R2 < R3, which resistor has the greatest potential difference? Which resistor has the smallest voltage?

Explanation:

A hypothesis is

a type of research method that involves experimentation

a statement describing the actual outcome of an experiment

the question that forms the foundation for a particular study

a statement describing what the researchers expect to find in a study

Help plz

Answers

Answer:

A hypothesis is a tentative statement about the relationship between two or more variables. It is a specific, testable prediction about what you expect to happen in a study.

A hypothesis is a tentative statement about the relationship between two or more variables. is a specific, testable prediction about what you expect to happen in a study.

Explanation:

This is answer

Answer:

hey there

hypothesis is a proposed explanation for a phenomenon. For a hypothesis to be a scientific hypothesis, the scientific method requires that one can test it. Scientists generally base scientific hypotheses on previous observations that cannot satisfactorily be explained with the available scientific theories

Explanation:

hope it helps

have a nice day : )


A 0.56 kg block is suspended from the middle
of a 1.74 m long string. The ends of the string
are attached to the ceiling at points separated
by 1 m, and the block can slip along the long
string
The acceleration of gravity is 9.81 m/s?.
What angle does the string make with the
ceiling?

Answers

Notice that both strings have the same length, so they form an isosceles triangle, which means the angles they make with the ceiling are congruent.

If this angle has measure θ, then the angle between the two strings T₁ and T₂ has measure 180° - 2θ. This is because the interior angles of any triangle sum to 180°.

By the law of cosines, we have

(1 m)² = (0.87 m)² + (0.87 m)² - 2 (0.87 m)² cos(180° - 2θ)

Solve for θ :

(1 m)² = 2 (0.87 m)² - 2 (0.87 m)² cos(180° - 2θ)

(1 m)² / (2 (0.87 m)²) = 1 - cos(180° - 2θ)

cos(180° - 2θ) = 1 - (1 m)² / (2 (0.87 m)²)

cos(180° - 2θ) ≈ 0.3394

180° - 2θ = arccos(0.3394)

180° - 2θ ≈ 70.159°

2θ ≈ 109.841°

θ ≈ 54.9205° ≈ 55°

Why would it be better to record larger forces when trying to determine the frictional coefficient between two objects?​

Answers

Frictional coefficient comes with vale like 0.3/0.1 and such like imaginable values almost all times.So it can be negligible .However it makes the calculation more complex.so it's better to record larger forces.

Your new motorcycle weighs 2580 N.
The acceleration of gravity is 9.8 m/s2.
What is its mass?
Answer in units of kg.

Answers

Answer:

205 kilograms.

answer ok :)

What do you think? Is absolute zero really colder
than outer space?

Answers

Answer:

yes zero colder enough

Explanation:

for temperature ^_^^_^

Pls Help FAST
Brainliest

Answers

Answer:

1. S

2.×

3.×

4.×

I hope this can help u

Scenario: A sheet of paper is hung in the air, and a boxer punches it.
Which experiences a greater force?
The boxer, the paper, or both ???

Answers

Answer:

the paper

Explanation:

An aluminum sphere is 8.20 cm in diameter. What will be its % change in volume if it is heated from 30∘C to 150 ∘C ?

Answers

Answer:

Change in volume / volume = 3 K change in temperature

K = 24E-6 / deg C     coefficient of linear expansion

R = 4.1 cm

dR / R = 24E-6 * 120 dec C = 2.88E-3

V = 4/3 pi R^3

dV = 4 pi R^2 dR

dV / V = 3 dR / R = 2.88E-3 * 3 = 8.6E-3 = .86%

The percentage change in volume of the aluminum sphere at the given cubic expansivity is 0.9%.

Expansion of the aluminum sphere

The percentage change in the volume of the aluminum sphere is determined by applying cubic expansivity formula of the aluminum.

Initial volume of the sphere

V₁ = ⁴/₃πr³

where;

r is the radius = ¹/₂ (8.2 cm) = 4.1 cm = 0.041 m

V₁ = ⁴/₃π(0.041)³

V₁ = 2.887 x 10⁻⁴ m³

[tex]\beta = \frac{\Delta V}{V_1 \Delta T}[/tex]

where;

β is cubic expansion of aluminum = 75 x 10⁻⁶/⁰C

[tex]\Delta V = \beta V_1 \Delta T\\\\\Delta V = (75 \times 10^{-6} )(2.887 \times 10^{-4})(150 - 30)\\\\\Delta V = 2.6 \times 10^{-6} \ m^3[/tex]

Percentage change in volume of the sphere

[tex]\% (V)= \frac{\Delta V}{V_1} \times 100\%\\\\\% (V)= \frac{2.6 \times 10^{-6}}{2.887 \times 10^{-4}} \times 100\%\\\\\% (V)= 0.9 \ \%[/tex]

Learn more about cubic expansivity here: https://brainly.com/question/19630660

If there is a 25 [lbs] of force acting on a 5 [lbs] of mass, what is the acceleration of that mass?

Answers

Answer:

f = 25 lbs

m = 5 lbs

a =?

f = ma

25 = 5 a( divide both sides by 5)

a = 5(lbs)

Write 1,000,000w
1,000m
0.001 cm using scientific notation ​

Answers

Answer:

1×10^6 w

1×10^3 m

1×10^(-3) cm

Por una tuberia de 2.65 cm de diámetro fluye agua con una velocidad de 5 m/s; en una parte de la
tuberia hay una reducción en su diámetro de 0.65 cm. ¿Qué velocidad llevará el agua en este punto?

Answers

La ecuación de continuidad podemos encontrar el resultado para la velocidad de fluido en la reducción de la tubería es:

       v = 83,1 m/s

La mecánica de fluidos estudia el movimiento de líquidos y gases por diferentes sistemas, la conservación de la masa  es escrita como la ecuación de continuidad

            A₁ v₁ = A₂ v₂

Donde  los subíndices son en dos puntos de interés, A el área de la tubería y v la velocidad del fluido.

Indican la velocidad de fluido es v₁ = 5 m/s y el diámetro de la tubería es d₁= 2,65 cm, piden encontrar la velocidad en la parte con un diámetro de d₂ = 0,65 cm

El área de la tubería es

         A = [tex]\pi ^r^2 = \pi \frac{d^2}{4}[/tex]  

         [tex]v_2 =\frac{A_1}{A_2} \ v_1 \\v_2 = ( \frac{d_1}{d_2} )^2 \ v_1[/tex]  

Calculemos

       v₂ =  [tex]( \frac{2.65}{0.65} )^2 \ 5[/tex]  

       v₂ =  83,1 m/s

En conclusión usando la ecuación de continuidad podemos encontrar el resultado para la velocidad de fluido en la reducción de la tubería es:

      v = 83,1 m/s

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What does the scientific method help test in environmental science?

Edmentum/Plato answer please

Answers

Answer:

The scientific method helps test and arrive at conclusions for a variety of hypotheses that are created when studying environmental science.

Explanation:

What is the scientific method in environmental science?

The scientific method is a method of research with defined steps that include experiments and careful observation. One of the most important aspects of this method is the testing of hypotheses by means of repeatable experiments. A hypothesis is a suggested explanation for an event, which can be tested.

What is also a product in the chemical reaction of fusion?
A. Energy
B. Water
C. Sugar
D. Carbon dioxide

Answers

Answer:

D.

Explanation:

A

because energy is also a product

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