A clock pendulum oscillates at a frequency of 2.5 Hz . At t=0, it is released from rest starting at an angle of 13 ∘ to the vertical.a. What will be the position (angle in radians) of the pendulum at t = 0.25 s ? Express your answer using two significant figures.b. What will be the position (angle in radians) of the pendulum at t = 2.00 s ? Express your answer using two significant figures.

Answers

Answer 1

A) position of the pendulum at t = 0.25 s is approximately -0.62 radians. B) position of the pendulum at t = 2.00 s is approximately -0.99 radians. The motion of a clock pendulum is an example of simple harmonic motion, where the motion of the pendulum is a back and forth oscillation

a. To determine the position of the pendulum at t = 0.25 s, we can use the formula for the position of an object undergoing simple harmonic motion: [tex]θ = θ_0 cos(ωt)[/tex]

Where θ is the angular position of the pendulum at time t, θ_0 is the initial angular position (13 degrees in this case) in radians, ω is the angular frequency (2πf), and t is the time.

We can first find ω by using the frequency: ω = 2πf = 2π(2.5 Hz) = 5π rad/s, Substituting the given values into the equation, we get: θ = (13 degrees)(π/180) cos((5π rad/s)(0.25 s)) ≈ -0.62 radians

Therefore, the position of the pendulum at t = 0.25 s is approximately -0.62 radians.

b. To determine the position of the pendulum at t = 2.00 s, we can use the same formula: θ = [tex]θ_0 cos(ωt)[/tex] , Using the same values for θ_0 and ω as before, we get:

θ = (13 degrees)(π/180) cos((5π rad/s)(2.00 s)) ≈ -0.99 radians, Therefore, the position of the pendulum at t = 2.00 s is approximately -0.99 radians.

Note that the negative sign in the answers indicates that the pendulum is on the left side of its equilibrium position at those times. The amplitude of the motion is the absolute value of the initial angular position, which is 13 degrees or approximately 0.23 radians.

The magnitude of the position decreases as time passes, approaching zero as the pendulum comes to rest at its equilibrium position.

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Related Questions

what is biodiversity​

Answers

Answer:

Biodiversity is the variety and variability of life on Earth. Biodiversity is typically a measure of variation at the genetic, species, and ecosystem level. Terrestrial biodiversity is usually greater near the equator, which is the result of the warm climate and high primary productivity.

Explanation:

hope it helped <3

in which of the following is the molecules of water moving fatest A. stream. B. ice. C. ice water mixture. d. water.​

Answers

Answer:

steam

Explanation:

particles move faster in a gas than in a liquid or solid

20.Two balls are in motion. A 2-kg ball moving at 4m/s and a 4-kg ball moving at 2m/s, which one has greater kinetic energy? a. 2 kg ball moving at 4 m/s c. Both balls have the same KE b. 4 kg ball moving at 2 m/s d. Cannot be determined

Answers

Answer:

A

Explanation:

Given that two balls are in motion. A 2-kg ball moving at 4m/s and a 4-kg ball moving at 2m/s, which one has greater kinetic energy? a. 2 kg ball moving at 4 m/s c. Both balls have the same KE b. 4 kg ball moving at 2 m/s d. Cannot be determined

The formula for kinetic energy is :

K.E = 1/2mv^2

A 2-kg ball moving at 4m/s will have kinetic energy of 1/2 × 2 × 4^2

K.E = 16J

and a 4-kg ball moving at 2m/s will have kinetic energy of 1/2 × 4 × 2^2

K.E = 2 × 4

K.E = 8J

which one has greater kinetic energy? Definitely it is a 2 kg ball moving at 4 m/s. Since 16J is greater than 8J. The correct answer is A.

The energy which we obtained from the moving particle is called kinetic energy.  According to the conservation of energy, the energy can neither be created nor be destroyed.

Hence, the formula used in the question is:- [tex]K.E =\frac{1}{2} mv^{2}[/tex] .

A 2-kg ball moving at 4m/s will have kinetic energy that is [tex]K.E =\frac{1}{2} 2*4^{2} = 16J[/tex]  

Therefore, the kinetic energy of the ball moving the 2kg is 16J.

A 4-kg ball moving at 2m/s will have kinetic energy that is [tex]K.E =\frac{1}{2} 4*2^{2} = 8J[/tex]

Hence the Kinetic energy of the ball moving the 4 kg is 8J.

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Which model would best demonstrate the role of gravity in the Solar System? O A. a large ball with 8 smaller balls arranged around it because gravity is between the sun and 8 planets O B. a magnet drawn close to another magnet because planets are dbvn towards the magnetism of the Sun O c. a football field with a pea at one end and a grain of sand at the other because the scale of gravity is large O D. a ball attached to a string moving in a circular motion because the string keeps the ball in place like gravity​

Answers

Option D would be the correct answer

A 98N weight is lifted to a height of 4m. What is its potential energy at this position?

Answers

Answer:

i need points

Explanation:

Can u please help mee?
1 Calculate the momentum in each of these cases.
a A car of mass 1000 kg traveling at 31.6 m/s
b A train with a mass of 120 000 kg and a velocity of 40 m/s (about 90 mph)

Answers

Answer:

a

Explanation:

aaajsjdndndnjxjzkskdjawuj

If there is zero total force acting on the refrigerator, the refrigerator would

A) slow down
B) speed up
C) remains the same speed
D) slow down, change direction and then speed up going the other way
E) remains at the same speed, but changes direction

Answers

Answer:

c

Explanation:

this is because newton's first law of motion states that every object will continue in its state of rest or uniform motion in a straight line unless a resultant force acts on it

so if the resultant force on the refrigerator is 0N, but it was initially moving, it will continue in its motion in a straight line.

it will not change direction since it will continue in its uniform motion.

hope this helps

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A force of 100 N will exert the greatest pressure on an area of

Answers

Answer:

It will apply the greatest pressure of an area of 1.

Explanation:

To find pressure use the formula P = F/A

P = 100/1

P = 100

Answer:

10 N / cm^2

Explanation:

The Formiula is P = F / A

P = presure

F = Force in Newtons

A = area.

The answer is the smaller the area the larger the pressure.

The smallest area you have given us is 10 cm^2

The Pressure = 100N / 10 cm^2

Pressure = 10 N/cm^2  

Note: the units are not exactly standard units, but I've given the answer the way the question offers the units.

A rubber stopper, which has a mass of m = 14.5 grams, is tied to the end of a string which is threaded through a glass tube. You then spin the rubber stopper about your head in a horizontal circle as shown to the right. The stopper sags  = 18.0o below the horizontal as shown and the distance from the top of the tube to the stopper is L = 1.25 m.
b. What will be the magnitude of the centripetal force acting on the stopper?
c. What is the speed of the stopper?
d. What is the tension in the string?
e. How much Mass M is hanging on the end of the string?

Answers

Answer:

T cos18=mv^2/1.25cos18

T sin18=mg

solve for T

centripetal force-=Tcos18

Where do you weight more on top of Mt. Everest (Highest Mt. in the world) or at the beach

They are the same

Mt Everest

The beach

Not enough information

Answers

You weigh slightly more at the beach than on top of a mountain, because at the beach, you're closer to the center of the Earth.

A crate is sliding on the floor. If there is a total force acting on the crate in the same direction as it is sliding, the crate would
A) slow down
B) speed up
C) remains the same speed
​​​​​​​ D) slow down, change direction and then speed up going the other way,
E) remains the same speed but changes direction

Answers

But we do not know whether the force is pushing or pulling (the same direction (both forces are parallel) but: .........[ ]<-F-- or .......[ ]--F-->). I suppose the correct answer is B

A student swings a 5.0 Kg pail of water in a vertical circle of radius 1.3m. What is the minimum speed at the top of the circle if the water is not to spill from pail.

Answers

Answer:

v = 3.57 m / s

Explanation:

Let's use Newton's second law in the upper part of the circle, with the minimum speed so that the water does not rest on the circle, that is, the normal is zero

          W = m a

   

acceleration is centripetal

          a = v² / r

let's substitute

         mg = m v² / r

         v = [tex]\sqrt{r g }[/tex]

let's calculate

        v = [tex]\sqrt{1.3 \ 9.8}[/tex]ra 1.3 9.8

        v = 3.57 m / s

lab number 14: sudden stops hurt newtons first law

Answers

Answer:

you want to know newtons first law here.

Explanation:

An object that is at rest stays at rest or stays in motion.

Match each word to it's correct meaning.
1. conduction
A.resistance to motion between two objects in contact
2. convection
B.something that will flow
3. fluid
C.measure of how much heat energy a substance has
4. friction
D.transmission of heat by the transferring of energy from one particle to another
5. temperature
E.transfer of heat by the motion of the particles of a gas or fluid

PLS PLS PLS NEED HELP ONLY HAVE A LITTLE BIT TILL I HAVE TO SHOW ME PARENTS ME GRADES AND I CANT HAVE ANYTHING OVERDUE

Answers

Answer:

you know the answer i answered it before on a question 0-0

Explanation:

Which element has the same number of valence electrons as rubidium.
A. lithium
B. argon
C. calcium
D.iron

Answers

To know if elements have the same number of valence electrons you can look at what group they are in on the periodic table. Rubidium (Rb) is in group one which means it will have the same number on valence electrons as Lithium (Li) because Lithium is also in group one on the periodic table. I hope this helps!!

Anyone knows this ???

Answers

Answer:

JUST A MINUTE KAPENG MAINIT

What does attributed mean

Answers

Answer:

attribute is defined as a quality or characteristic of a person, place, or thing

Explanation:

Answer:

regard something as being caused by (someone or something).

Explanation:

Online dictionary

b) Include this table on your slide:
Mass of Object 1 Mass of Object 2 (kg)
(kg)
Gravitational Force
(N)
1 x 1020
1 x 1020
1 x 1040 G
3 x 1020
1 x 1020
3 x 100 G
2 x 1020
2 x 1020
4 x 10"G
20
3 x 1020
4 x 10
12 x 10 G
c) Use the table to explain how the masses of Objects 1 and 2 relate to the gravitational force
between them. Be sure to:
Describe the scenario.
Explain the table headings to introduce the data in the table.
Use the data to show a trend.
Summarize the information from the table in a sentence, showing the relationship between
the masses of objects and the gravitational force between the objects.
d) Place text in the notes section below the slide explaining the information presented on it. This text
will act as the script for your presentation.
e) Remember to save your work.

Answers

Answer:

hryrbrhrururjrn djbrr he dvhd the ry rhr

urur

Explanation:

jrurhr dye dhrb the yd rhd due sh dgd eye rh

Answer:

I dont know i was looking for the same answer for my project

Explanation:

A car drives 40 km due east and then 50 km due west .what is the cars overall displacement?

Answers

Answer:10 km westExplanation:he go 40 east then 50 west 50-40 is 10 so he displaces 10 km and as west is more than east in terms of km so we will say that it's 10 km west pls mark as brainliest thanks

The car's overall displacement if, A car drives 40 km due east and then 50 km due west is 10 km in the west.

What is displacement?

Displacement is defined as the overall alteration of an object's location and motion direction. Displacement is recognized as a vector quantity since it takes into account both the direction of the motion and the magnitude of the changing position. Displacement may be zero, positive, or negative.

Given:

A car drives 40 km due east and then 50 km due west,

Consider the west direction as positive and the east direction as negative, then,

The displacement = Displacement in the west + displacement in the east,

The displacement = 50 - 40

The displacement = 10

As the sign is positive, then the direction would be west.

Thus, the displacement of the car is +10 km.

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An object completes 2500 cycles in
26s. The radius of motion is 3.5m.

Answers

Answer:

That statement is correct.

Explanation:

An object that completes 2500 cycles in 26 seconds has a radius of motion of 3.5.

Can anyone help in physics plz

Answers

Answer:

The answer is B. 8000.

Explanation:

She gained 10,000J , but when she reached the bottom she was at 2,000J. All you need to do is 10,000-2,000 and you get 8,000. So the answer is 8,000J.

Explain in detail how clouds form.

Answers

Answer:

Clouds are formed when moist air rises upward . As the air rises , it becomes colder. Eventually the air can't hold all of the water vapour in it, and some of water vapour condenses to form tiny water droplets... Clouds form at wide range of altitudes , from near the ground to very high in the atmosphere.

A 615 watt refrigerator runs 24 hours/day. How much energy is used per month (30 days)?

Answers

Answer:

14.76

Explanation:

If you put it in the calculator it would show

if the charge of the force is doubled would the force double

Answers

Answer: The electrostatic force between two point charge particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. So, if you double the individual charges while keeping the same distance, the net electrostatic force will be four times the previous value.

Explanation:

Since, we know

F = (k×q1×q2)/r²

When the charges are doubled, we have :

F' = (k × 2q1 × 2q2)/r²

F' = 4 (k×q1×q2)/r²

Thus,

F' = 4F

Hence, the force becomes 4 times its initial value.

What is linear expansivity?​will receive brainliest if answered correctly​

Answers

Answer:

Linear expansivity is the fractional increase in length of a specimen of a solid, per unit rise in temperature. If a specimen increases in length from l1 to l2 when its temperature is raised θ°, then the expansivity (α) is given by: l2 = l1(1 + αθ). This relationship assumes that α is independent of temperature. This is not, in general, the case and a more accurate relationship is: l2 = l1(1 + aθ + bθ2 + cθ3…), where a, b, and c are constants.

l2 = l1(1 + αθ).

l2 = l1(1 + aθ + bθ2 + cθ3…),

Answer:

Linear expansivity is the fractional increase in length of a specimen of a solid, per unit rise in temperature. ... Superficial expansivity is the fractional increase in area of a solid surface caused by unit rise in temperature, i.e. A2 = A1(1 + βθ), where β is the superficial expansivity.

I hope it's helpful!

pls help i’ll give brainliest if you give a correct answer!!

Answers

Answer: the last one

Explanation:

Answer:

C

Explanation:

Will the gravitational force between 2 objects increase or decrease if the distance between them decreases.

Answers

Answer:

increase

Explanation:

The formula for the gravitation for of attraction is:

[tex]F = \dfrac{Gm_1m_2}{r^2}[/tex]

It implies that the force of attraction is inversely proportional to the square of the distance. i.e.

[tex]F \infty \dfrac{1}{r^2}[/tex]

where;

G = gravitational constant

m = mass; &

r = distance between the two objects.

Now let's assume that the distance between is reduced from 1 to half;

Then:

[tex]F \infty \dfrac{1}{\Big (\dfrac{r}{2} \Big)^2}[/tex]

[tex]F \infty \dfrac{4}{r^2}[/tex]

Thus, the new gravitational force of attraction increased by a factor of 4.

A vehicle of mass 3200kg moving with a velocity of 10m/s increases it's velocity to 20m/s in 5 sec. calculate the magnitude of the force exerted on the engine​

Answers

Answer:

xitxutdtidtiittieitetdtdt

Answer:

Please find the attached file

Explanation:

10 POINTS and WILL MARK AS A Brainlest PLEASE

Answers

Answer:

240 cm/sec

Explanation:

The speed line is closest to 240sec at 60cm.

Hope this helps! :)

240 cen/ sec :)))))

ordinary kriging method assume that​

Answers

ears

Explanation:

I want to eat your ears

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