The rabbit flea Spilopsyllus has a mass of 0.45 mg. It can jump vertically to aheight of about 3.5 cm. Biologists have hypothesized that the energy for the jump is most likely derived from the elastic potential energy stored in the resilin pads ofthe two rear legs of the flea. Each pad is estimated to have a volume of about and its strain typically reaches a value of 100%. The elastic modulus of resilience is about . Is the hypothesis plausible

Answers

Answer 1

Answer:

Therefore The hypothesis is not plausible Because

[tex]P.E \geq P.E_e[/tex]

[tex]P.E=12.435*10^{-5}J \geq 1.4*10^{-7}J[/tex]

Explanation:

From the question we are told that:

Mass [tex]M=0.45mg[/tex]

Jump height [tex]h=3.5cm \approx 0.03m[/tex]

Percentage strain [tex]\mu =100\%[/tex]

Generally the equation for potential energy is mathematically given by

[tex]P.E=mgh[/tex]

[tex]P.E=0.45*10^{-3}*9.8*0.03[/tex]

[tex]P.E=12.435*10^{-5}J[/tex]

Generally the equation for Elastic potential energy is mathematically given by

[tex]P.E_e=0.5*stress*strain *volume[/tex]

[tex]P.E_e=0.5*1*2*10^6*1*1.4*10^{-4*(10^-3)^3}[/tex]

[tex]P.E_e=1.4*10^{-7}J[/tex]

The hypothesis is only plausible at conditions where

[tex]P.E\leq P.E_e[/tex]

Therefore The hypothesis is not plausible Because

[tex]P.E \geq P.E_e[/tex]

[tex]P.E=12.435*10^{-5}J \geq 1.4*10^{-7}J[/tex]


Related Questions

if a referee tosses a basketball in the air and hits the floor, at what point will the ball have no mechanical kinetic energy (hint: this occurs at more than one point)

Answers

the ball have no mechanical kinetic energy:

Just before the ball is set in motion in the air. Just after it hits the floor.What is mechanical kinetic energy?

This refers to the energy that an object possessed due to its motion or due to its position. It is calculated by getting the product of the mass of the object and its velocity and dividing it by two. It is measured in joules, J.

if a referee tosses a basketball in the air, the ball will not  have mechanical kinetic energy:

Just before the ball is set in motion in the air. ( Potential energy that is energy due to an object's position).Just after it hits the floor. ( Potential energy that is energy due to an object's position).

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It is a “new moon” (the Moon is totally dark in the sky). Using the masses of the Earth, Sun, and Moon and the average distances between the Earth-Moon and Earth-Sun, find the net gravitational force on the Earth from the Sun and the Moon combined.

Find also distance when it is full moon

Answers

It is a “new moon” (the Moon is totally dark in the sky). The gravitational force between the Earth and the Moon is:

2.9 x 10^20 N3.5 x 10^22 N3.5 x 10^22 N

What is gravitational force?

Generally, The gravitational force between two objects is given by the equation:

force = G * (mass1 * mass2) / distance^2

Where G is the gravitational constant (6.67 x 10^-11 N*(m/kg)^2), mass1 and mass2 are the masses of the two objects, and distance is the distance between the two objects.

The mass of the Earth is 5.972 x 10^24 kg, the mass of the Moon is 7.347 x 10^22 kg, and the mass of the Sun is 1.989 x 10^30 kg. The average distance between the Earth and the Moon is 384,400 km, and the average distance between the Earth and the Sun is 149.6 million km.

The gravitational force between the Earth and the Moon is:

force = (G * (mass of Earth) * (mass of Moon)) / (distance between Earth and Moon)^2 force

= (6.67 x 10^-11 N*(m/kg)^2) * (5.972 x 10^24 kg) * (7.347 x 10^22 kg) / (384400 x 10^3 m)^2 force

= 2.9 x 10^20 N

The gravitational force between the Earth and the Sun is:

force = (G * (mass of Earth) * (mass of Sun)) / (distance between Earth and Sun)^2 force

= (6.67 x 10^-11 N*(m/kg)^2) * (5.972 x 10^24 kg) * (1.989 x 10^30 kg) / (149.6 x 10^9 m)^2 force

= 3.5 x 10^22 N

To find the net gravitational force on the Earth from the Sun and Moon combined, we add the two forces we found above.

Net force = 2.9 x 10^20 N + 3.5 x 10^22 N

= 3.5 x 10^22 N

When it is a Full Moon the distance is the same 384,400 km

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In a cloud chamber experiment, a proton enters a uniform 0.260 T magnetic field directed perpendicular to its motion. You measure the proton's path on a photograph and find that it follows a circular arc of radius 6.42 cm.

Required:
How fast was the proton moving?

Answers

Answer:

the proton speed of the proton was 1.6 × 10⁶ m/s

Explanation:

Given the data in the question;

Radius r = 6.42 cm = 0.0642 m

magnetic field B = 0.260 T

we know that; charge of proton q = 1.602 × 10⁻¹⁹ C

And mass of proton m = 1.672 × 10⁻²⁷ kg

we know that; Magnetic Force F = qvBsinθ

where q is the charge of proton, v is velocity, B is the magnetic field and θ is  angle ( 90° )

Also the Centripetal force experienced by the particle is;

F = mv² / r

where r is radius, m is mass of proton and v is velocity

hence;

qvBsinθ = mv² / r

we solve for v

rqvBsinθ = mv²

divide both sides by mv

rqvBsinθ / mv = mv² / mv

rqBsinθ / m = v

so we substitute

v = [ 0.0642 m × (1.602 × 10⁻¹⁹ C) × 0.260 T × sin(90°) ] /  1.67 × 10⁻²⁷ kg

v = 2.6740584 × 10⁻²¹ / 1.672 × 10⁻²⁷

v = 1.6 × 10⁶ m/s

Therefore, the proton speed of the proton was 1.6 × 10⁶ m/s

¿Con qué cualidad del sonido está relacionada la Amplitud de onda?

Answers

Answer:

Amplitud (dinámica)

Explanation:

La amplitud de una onda de sonido determina su volumen relativo. En música, el volumen de una nota se denomina nivel dinámico.

8. If the m<5 is 63°, find the
measure of <3.

Answers

The statement indicates that angle 3 seems to have a 117 degree measurement.

Short answer: What is measure?

Compare of an untold amount with a fixed quantity that is known or A attribute of an item or event is measured when a number is assigned to it so that it may be compared to other things or occurrences.

Briefing:

An angle is the figure produced by two photons that must intersect at a shared terminal in geometry. The symbol should indicate an angle.

The sum of the two degrees is 180 degrees but since radius 5 is 63 degrees.

Angle 3 is therefore = 180 - 63 = 117 degrees.

Consequently, angle 3 has a measure of 117 degrees.

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A Ferris wheel, rotating initially at an angular speed of 0.16 rad/s, accelerates over a 8.0-s interval at a rate of 0.040 rad/s2. What is its angular speed after this 8.0-s interval?

Answers

Answer:

0.48 rad/s

Explanation:

We can use this equation to find the final velocity

[tex]w_f=w_0+at[/tex]

We are given

[tex]w_0=0.16[/tex]

[tex]t=8.0[/tex]

[tex]a=0.04[/tex]

Inserting those numbers into our equation gives us

[tex]w_f=0.16+0.04*8[/tex]

Lets solve for [tex]w_f[/tex].

[tex]w_f=0.16+0.32[/tex]

[tex]w_f=0.48[/tex]

The coyote, whose mass is 20kg is chasing the roadrunner when the coyote accidentally runs off the edge of the cliff and plummets to the ground 30m below. What force does the ground exert on the coyote as he makes a coyote-shaped dent 0.420m deep in the ground.

Answers

The force is 196 N (20kg x 9.8 m/s2)

What is force ?

Force is an action or influence that causes an object to change its state of motion or rest. Force can be exerted by a single object or by two or more objects interacting with each other. Examples of force include friction, gravity, magnetism, electricity, and pressure. The magnitude of a force is usually measured in newtons (N) and is determined by the amount of mass and acceleration of the object it is acting upon.

The force exerted on the coyote by the ground is equal to the mass of the coyote multiplied by the acceleration due to gravity, which is 9.8 m/s2.

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____ crust forms the ocean floors
A)lithosphere
B)oceanic
C)continental
D)asthenosphere

Answers

Answer:

lithosphere

Explanation:

B is the correct answer. Hope this helps!! :)

what is polarization of light?​

Answers

Answer:

Polarized light waves are light waves in which the vibrations occur in a single plane. The process of transforming unpolarized light into polarized light is known as polarization. There are a variety of methods of polarizing light.

Explanation:

Why the specific heat of water changed as the water state changed?​

Answers

Answer:

Infinity. Yes, specific value of water during phase change is infinity. This is because, as long as water is present and it is changing phase (at boiling point or at any other constant temperature), the temperature of the water does not change no matter what amount of heat you are supplying to the water. Thus, its specific heat value is infinity.

6. An object experiences a force of 4N left and 4N right, what is the net force?

Answers

Answer:

The net force is equal to zero.

Explanation:

Two equal forces going in opposite directions will always result in a net force of 0.

Answer:

The net force would be 0.

Explanation:

If you have equal amounts of force on each side it is 0. If you had different amounts of force on each side the side you would subtract the greater one form the smaller one equalling your net force.

What is the equivalent resistance of a 3.0 Ω resistor and a 6.0 Ω resistor connected in parallel?

Answers

Answer:

The equivalent resistance of a 3.0 Ω resistor and a 6.0 Ω resistor connected in parallel is 2.0 Ω.

Explanation:

take 100 POINTS!!!! look the picture​

Answers

claiming points because question is old + no keywords in title

You push a cart with mass 30 kg forward, giving it an acceleration of 5 m/s2How much force did you apply? O A. 0.17 N O B. 35 N O C. 75 N O D. 150 N ​

Answers

Answer:

150N

Explanation:

To find the force applied remember that force equals to Mass multiply by the Acceleration.

F=Ma

=30*5

=150N

Answer:

150N

Explanation:

F = m*a = 30 * 5 = 150 N

Question 18 (2 points)
Which statement is TRUE about the relationship between magnetic fields and
electric charges.


A. Moving electric charges (electrons in a circuit) creates a magnetic field and
a magnetic field can cause an electric charge to move (electricity).

B. Moving electric charges (electrons in a circuit) creates an electric field and
a magnetic field can cause static electricity.

C. Static (not moving) electric charges creates a magnetic field and a magnetic field
can cause electricity to stop flowing.

Answers

Answer:

A.Moving electric charges (electrons in a circuit) creates a magnetic field and

a magnetic field can cause an electric charge to move (electricity).

Explanation:

George is studying a mechanical wave. He counts thirty crests of the wave pass through a point in 10 seconds.

If What is the frequency of this wave?
Select one:

2 Hz.

20 Hz.

3 Hz.

30 Hz.

Answers

Answer:

Option C

Explanation:

Frequency determines the number of waves that pass through any defined point in a given time period.

Frequency of 1 hertz means that one wave travels through a given point in one second.

By the above definition, we can say

Frequency

[tex]= \frac{30}{10} \\=3[/tex]

Hence, option C is correct

Bonjour ,
je n'arrive pas a comprendre cet exercice de physique niveau 5eme.
Ceci concerne le chapitre sur l'éléctricité .

MERCI

Answers

Answer:

Bonjour! Mon francais est assez rouillé, mais faire de mon mieux pour traduire la page; voici les principaux points:

1. (Une) Le rôle de la boule de flotteur dans le circuit électrique est qu'il permet à la pompe d'arrêter lorsque l'eau n'est pas le bon niveau en venant en contact avec deux conducteurs et la fermeture du circuit électrique.

2. (Deux) Je veux dire que le matériau qui constitue la balle en isolant, car il maintient l'eau et hors de blocage force active de la machine.

3. (Trois) Le courant électrique continuera aussi longtemps que la pompe est branchée sur une prise électrique, je crois.

Encore une fois, s'il vous plaît pardonnez-moi, je suis mieux à la lecture de français que de l'écrire! J'espère que cela a pu aider. Si vous avez plus de questions, je vais faire de mon mieux pour y répondre!

Salut!

The blending of the fundamental tone with overtones produces the __?__of an instrument.

Answers

Answer:

The blending of the fundamental tone with overtones produces the Sound Quality of Musical Instruments of an instrument.

The blending of the fundamental tone with overtones produces the sound quality of Musical Instruments  of an instrument.

The tone of a sound wave determines the timbre, also known as timber, of the auditory impressions it creates. The wave structure of a sound, which varies with the amount of overtones, or harmonics, present, their frequencies, and their relative intensities, determines the timbre of the sound.Resonance is a common technique used by musical instruments to enhance sound waves and increase volume. When an object vibrates in response to sound waves of a particular frequency, this is known as resonance.

What are tones and overtones?Aside from a simple sine wave, the fundamental tone and numerous additional tones of various frequencies make up the waveforms of all sounds. Overtones or harmonics are non-fundamental tones that are whole-number multiples of the fundamental tone.

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A horizontal spring mass system is to be constructed. A spring which has a spring constant of 3 kg/s2 will be used. The system should be designed so that when it is released and vibrating freely (there is no forcing) the amplitude of its vibrations will decay like ????−0.4t, and it should oscillate with a period of 4 seconds.
(Although the motion is oscillatory it is not strictly periodic because the amplitude decays exponentially. In this context "period" refers to the period of the sine and/or cosine functions that create the oscillations in the motion.)
Based on these constraints determine the mass of the object, ????(kg), to be used, and also determine the value of the friction coefficient, ???? (kg/s).
????: kg
b: kg/s

Answers

Answer:

a) 1.1418 kg

b) 0.9135 kg/s

Explanation:

Given data :

spring constant ( k ) = 3 kg/s^2

amplitude of vibrations will decay like :  

The mass of the object will be 1.418 kg and the value of the friction coefficient, b is 0.9135 kg/s.

What is  Periodic motion?

In physics, a periodic motion is a movement that repeats at regular intervals. A swing in motion, a rocking chair, a bouncing ball, a tuning fork vibrating, the Earth orbiting the Sun, and a water wave are all examples of periodic motion. The time interval for repetition, or cycle, of the motion, is referred to in each case as a period, and the frequency is the number of periods per unit of time.

According to the question, the given values are :

Spring constant, k = 3 kg/s²,

Time, T₁ = 4 sec

r = 0.4

The formula for damped oscillation is : [tex]e^-^r^t[/tex]

r = b / 2 m

w₁ = [tex]\sqrt{w_0^2-r^2}[/tex]

T₁ = 2π / w₁

= 2 π /        [tex]\sqrt{w_0^2-r^2}[/tex]

w₀ = [tex]\sqrt{4 \pi^2/T_1 +r^2}[/tex]

[tex]\sqrt{k/m}[/tex] = [tex]\sqrt{4 \pi^2/T_1 +r^2}[/tex]

M = k / [tex]{4 \pi^2/T_1 +r^2}[/tex]

M = 3/ (4π/4² +(0.4)²)

M = 1.1418 kg

b = 2 Mr = 2 × 1.1418 × 0.4

b = 0.9135 kg/s

Hence, the mass of the object is 1.1418 kg and the friction coefficient is 0.9135 kg/s.

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A particle which is moving in a straight line with a velocity of 15m/s accelerates uniformly for 3.0s, increasing its velocity to 45m/s. What distance does it travel while accelerating

Answers

The distance travel while accelerating is 90m

The initial velocity of the particle is 15m/s and the final velocity is 45m/s, so the change in velocity is 45m/s - 15m/s = 30m/s. The particle accelerates uniformly for 3.0s, so the acceleration is 30m/s / 3.0s >>30/3=10 that is 10m/s^2.

The distance traveled during the acceleration is equal to the average velocity times the time elapsed, so the distance traveled is (15m/s + 45m/s)/2 * 3.0s = (15+45)/2*3= 90m .

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1. Compare and contrast sensation and perception.
2. Describe an example of sensory adaptation that you have experienced.
3. Why would it be difficult to play a sport such as baseball or basketball without the ability
to perceive depth?
4. Do you think that subliminal messages should be banned from advertising? Why or why
not?
5. What is your opinion about extrasensory perception? Do you think it exists? Explain your
answer.

Answers

1. Sensation refers to the process of receiving and encoding sensory information from the environment, while perception refers to the process of organizing and interpreting sensory information. Sensation occurs at the level of sensory receptors, while perception occurs in the brain.

2.An example of sensory adaptation that I have experienced is becoming accustomed to the smell of a perfume or cologne. When I first smell the fragrance, it is strong and distinct. However, as my senses become adapted to the smell, it becomes less noticeable to me.

3.It would be difficult to play a sport such as baseball or basketball without the ability to perceive depth because these sports require accurate spatial awareness and the ability to judge distances and heights. Without this ability, it would be difficult to accurately throw or hit a ball or to properly judge the distance to the basket.

4.It is a matter of debate whether subliminal messages should be banned from advertising. Some people argue that subliminal messages can influence people's behavior in a manipulative way, and therefore should be banned. Others argue that there is little evidence to suggest that subliminal messages are effective in influencing behavior and that banning them would be an unnecessary restriction on freedom of speech.

5.Extrasensory perception, also known as ESP, refers to the supposed ability to acquire information about the environment using means other than the known senses. There is no scientific evidence to support the existence of ESP, and the concept is generally considered to be pseudoscientific. As an AI, I do not have personal beliefs or opinions, but I can tell you that the scientific consensus is that ESP does not exist.

A student decides to give his bicycle a tune up. He flips it upside down (so there's no friction with the ground) and applies a force of 34 N over 0.6 seconds to the pedal, which has a length of 16.5 cm. If the back wheel has a radius of 33.0 cm and moment of inertia of 1200 kg cm^2, what is the tangential velocity of the rim of the back wheel in m/s

Answers

Answer:

[tex]V=9.2565m/s[/tex]

Explanation:

From the question we are told that:

Force [tex]F = 34 N[/tex]  

Time [tex]t = 0.6 s[/tex]

Length of pedal [tex]l_p=16.5cm \approx0.165m[/tex]

Radius of wheel [tex]r = 33 cm = 0.33 m[/tex]

Moment of inertia, [tex]I = 1200 kgcm2 = 0.12 kg.m2[/tex]

Generally the equation for Torque on pedal [tex]\mu[/tex] is mathematically given by

[tex]\mu=F*L\\\mu=34*0.165[/tex]

[tex]\mu=5.61N.m[/tex]

Generally the equation for  angular acceleration [tex]\alpha[/tex] is mathematically given by

 [tex]\alpha=\frac{\mu}{l}[/tex]

 [tex]\alpha=\frac{5.61}{0.12}[/tex]

 [tex]\alpha=46.75[/tex]

Therefore Angular speed is \omega

[tex]\omega=\alpha*t[/tex]

[tex]\omega=(46.75)*(0.6)[/tex]

[tex]\omega=28.05rad/s[/tex]

Generally the equation for  Tangential velocity V is mathematically given by

[tex]V=r\omega[/tex]

[tex]V=(0.33)(28.05)[/tex]

[tex]V=9.2565m/s[/tex]

 

(eopt)s. Find the power dissipated in a 25 r heater
connected to a 220V outer.​

Answers

Answer:

P = 1936 W

Explanation:

Given that,

Voltage, V = 220 V

The resistance of the heater, R = 25 ohms

We need to find the power dissipated in the heater. We know that the power dissipated by the electric appliances is given by :

[tex]P=\dfrac{V^2}{R}\\\\P=\dfrac{(220)^2}{25}\\\\P=1936\ W[/tex]

So, the required power is equal to 1936 W.

1. What does Louis de Broglie's principle propose about electrons?

They have energy and momentum.

They behave as a wave and a particle.

They contain high-energy and low-energy photons.

They interact with other electrons to form new substances.

Answers

Louis de Broglie's principle of electrons states that (b) They behave as a wave and a particle.

The de Broglie equation is one of the equations that is commonly used to define the wave properties of matter. It basically describes the wave nature of the electron.Electromagnetic radiation, exhibit dual nature of a particle (having a momentum) and wave (expressed in frequency, wavelength). Microscopic particle-like electrons also proved to possess this dual nature property.Louis de Broglie in his thesis suggested that any moving particle, whether microscopic or macroscopic will be associated with a wave character. It was called ‘Matter Waves’. He further proposed a relation between the velocity and momentum of a particle with the wavelength, if the particle had to behave as a wave.Particle and wave nature of matter, however, looked contradictory as it was not possible to prove the existence of both properties in any single experiment. This is because of the fact that every experiment is normally based on some principle and results related to the principle are only reflected in that experiment and not the other.

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What influences speed of an objects fall? (Choose as many as apply)
1. Sunlight
2. Air
3. Altitude
4. Heat

Answers

Altitude and Air

but mainly altitude, Air is just depending on the situation.

Air does not always influence an object's fall, but Altitude always influences it.

A 5,257 kg rocket blasts off to the moon with an acceleration of 76 m/s ^2 what is the net force on the rocket

Answers

Newton's subsequent law expresses that power is corresponding to what exactly is needed for an object of consistent mass to change its speed. This is equivalent to that item's mass increased by its speed increase. We use Newtons, kilograms, and meters each second squared as our default units, albeit any proper units for mass (grams, ounces, and so forth) or speed (miles each hour out of every second, millimeters per second2, and so on) could unquestionably be utilized also - the estimation is the equivalent notwithstanding.

Hence, the appropriate answer will be 399,532.

Net Force = 399532

the angel between vector a A = 2.00i + 3.00i and vecto B is 45 degree , the scalar product of vectors A and B is 3.00 if the x component of vector B is positive , what is the vector B

Answers

I think the answer is b but im not really sure

A diving board 3.00 m long is supported at a point 1.00 m from the end, and a diver weighing 500 N stands at the free end. The diving board is of uniform cross section and weighs 280 N. Find:

a. the force at the support point
b. the force at the left-hand end.

Answers

Answer:

[tex]F_l=1140N[/tex]

Explanation:

From the question we are told that:

Length[tex]l=3.00m[/tex]

Support distance [tex]d=1.00m[/tex]

Weight of diver [tex]W_d=500N[/tex]

Weight of board [tex]W_b=280N[/tex]

Generally the equation for Total Torque is mathematically given by

 [tex]F_T=W_d-W_b[/tex]

 [tex]F_T=F_d-f_b[/tex]

 [tex]F_T=-280-500[/tex]

 [tex]F_T=-780[/tex]

 [tex]F_T=780[/tex]

Since we consider the horizontal axis

 [tex]\sum Y=0[/tex]

 [tex]Fs-(\frac{1}{2}l*w_b)-(l-w_d)[/tex]

 [tex]Fs-1.5*280-3*300=0[/tex]

 [tex]F_s=1920N[/tex]

Therefore  the force at the support point  1.00m from the force at the left-hand

 [tex]F_l=F_s-F_l[/tex]

 [tex]F_l=1920-780[/tex]

 [tex]F_l=1140N[/tex]

A lawnmower is pushed with a force of 72 Newtons at an angle of 40 degrees from the horizontal. How much work is done to the mower if it moves 740 meters?

Answers

The work done to the mower is the product of the external force applied on the object and the distance covered by the object which is equal to 40,811 Joules.

What is Work done?

Work done on an object can be defined as the product of external force applied on the object and the distance over which the force is being applied on the object. Work is done on an object when a force is applied to an object and the object is moved through certain distance.

From this we can see that the horizontal component of the force:

X-Component (horizontal component):

cos(θ) = x/F

Then,

X= F cos(θ).…..(1)

Now putting the values of F and θ in equation (1) we get,

X = 72 N × cos(40)

X = 72 N × 0.766

X= 55.15 N this is the x-component force

The work done to the mower is:

W = F × d

W = 55.15 × 740

W = 40,811 Joules

The work done to the mower is 40811 Joules.

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What are the precautions for compound Pendulum experiment​

Answers

Make sure you measure the length of the pendulum from the centre (of mass) of the plumbob.

Make sure the top edge is well defined- clamp the string between two blocks so it is clear where the string can move and where it cant.

Make sure the top support is fixed- eg a clamp stand can easily flex and so the top support moves.

Make sure you use small amplitudes ( less than 10 degrees from the vertical)

Make sure you time enough swings such that the total time is sufficeint to get the uncertainty in the timing of a single swing down. (It is the total time that is important not the number of swings)

Release the pendulum and start timing counting while it is swinging. Start the clock and say zero (not 1).

Have a pre-prepared results table so that you can record your results accurately without rushing.

Do at least 3 sets of readings to identify any anomalies.

Explanation:

Other Questions
What is the answer to 20 FIRST PERSON TO GET CORRECT GETS BRAINLIEST!!!!!!!!1A circle is graphed on a coordinate grid and then reflected across the y-axis. If the center of the original circle was located at (x, y), which ordered pair represents the center of the new circle after the transformation?1. x,y2. x, -y3. -x,y4. -x,-y Write a situation to describe the equation below:C=50+16x SOMEONE PLEASE HELP!! i need it due right now!a) 4a= 32 : (a) = ____b) 4 = 32b : (b) = ____c) 10c = 26 : (c) = ____d) 26 = 100d : (d) = ____ What are the three 3 key components of a financial budget? What happens if you log a log? Why the properties of elements are repeated after 2 8 18 and 32 elements? What volume of 0.145 MNaOH is required to reach the equivalence point in the titration of 45.0 mL of 0.105 M HNO3 Define first person point of view and third person point of view. Look back at your opinion essay. What point of view did you use? Do you think this was an effective point of view? Why or why not? During the electrolysis of molten sodium chloride, which ion discharges at the anode? How were the molecules moving in the morning explain why the molecules were moving that way after energy was transferred out of them? please answer as soon as possible. How does the gravitational pull of different objects in space affect other objects in space? 1) The graph of g(x) is shown below. Which statement given below is FALSE?Please help! S Janine is considering buying a water filter and a reusable water bottle rather than buying bottled water. Will doing so save her money? First, determine what information you need to answer this question, then click here to display that info (along with other info). How much water does Janine drink in a day? She normally drinks 6 bottles a day, each 16.9 ounces. How much does a bottle of water cost? She buys 24-packs of 16.9 ounce bottles for $3.99. How much does a reusable water bottle cost? About $10. How long does a reusable water bottle last? Basically forever (or until you lose it). . How much does a water filter cost? How much water will they filter? o A faucet-mounted filter costs about $28 and includes one filter cartridge. Refill filters cost about $33 for a 3-pack. The box says each filter will filter up to 100 gallons (378 liters) o A water filter pitcher costs about $22 and includes one filter cartridge. Refill filters cost about $20 for a 4-pack. The box says each filter lasts for 40 gallons or 4 months An under-sink filter costs $130 and includes one filter cartridge. Refill filters cost about $60 each. The filter lasts for 500 gallons. Which option is cheapest over one year (365 days)? faucet-mount filter The cheapest option saves her $ Give your answer to the nearest cent. Pro-rate the costs of additional filters (so if you only use part of a filter, only count the corresponding fraction of the filter cost) and pro-rate the cost of the bottled water (so if you only use part of a case, only count the cost for the portion of the case used). over a year. hello please help ill give brainliest A forest covers 78,000 acres. A survey finds that 0. 4% of the forest is old-growth trees. How many acres of old-growth trees are there? There are acres of old-growth trees. 29. What is length of x?Please explain this one too me since I did not understand it thanks The diagram shows two proportional right triangles.What is the perimeter of the larger triangle? Select Fact or Opinion for each statement from "Make Your Own Microscope.""I bought the rest of it right there at the mall, and I paid a grand total of $7.99 foreverything."The best thing about making a smartphone microscope is that it costs almostnothing."I was able to keep the money I would have spent in my bank account, where it isearning interest every day.""Finally, this whole process left me with a terrific tool. Create your own animated character, and draft a series of simplistic frames that show some sort of action (for example, a figure walking, a facetransitioning from frowning to smiling, and so on.) Tile these together into a flipbook and then fan through to see your character come to life.Describe your work and how you created the flipbook.